Difference between revisions of "3 +^3"

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'''<pre style="color: red">CLASSIFICATION INCOMPLETE</pre>'''
 
'''<pre style="color: red">CLASSIFICATION INCOMPLETE</pre>'''
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The table below is still being populated. Please feel free to add blocks!
  
 
{| class="wikitable"
 
{| class="wikitable"
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|-
 
|[[M(27,3,3)]] ||  <math>k(3_+^{1+2}:C_2)</math> ||  ||10 ||2 ||<math>C_2</math> || || ||1 ||1 || SmallGroup(54,8)
 
|[[M(27,3,3)]] ||  <math>k(3_+^{1+2}:C_2)</math> ||  ||10 ||2 ||<math>C_2</math> || || ||1 ||1 || SmallGroup(54,8)
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|-
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|[[M(27,3,?)]] || <math>B_0(kSL_3(3))</math> ||  ||16 ||5 || || || ||1 ||1 ||
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|-
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|[[M(27,3,?)]] || <math>B_0(k(SL_3(3).2))</math> ||  ||13 ||7 || || || ||1 ||1 ||
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|[[M(27,3,?)]] || <math>B_0(k(3.M_{22}))</math> ||  ||16 ||5 || || || ||1 ||1 ||
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|[[M(27,3,?)]] || <math>B_0(k(3.M_{22}.2))</math> ||  ||14 ||7 || || || ||1 ||1 ||
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|[[M(27,3,?)]] || <math>B_6(k(6.M_{22}))</math> ||  ||16 ||5 || || || ||1 ||1 ||
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|[[M(27,3,?)]] || <math>B_6(k(6.M_{22}.2))</math> ||  ||14 ||7 || || || ||1 ||1 ||
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|[[M(27,3,?)]] || <math>B_{10}(k(12.M_{22}))</math> ||  ||16 ||5 || || || ||1 ||1 ||
 
|}
 
|}

Latest revision as of 20:27, 14 June 2019

Blocks with defect group [math]3_+^{1+2}[/math]

Under-construction.png
CLASSIFICATION INCOMPLETE

The table below is still being populated. Please feel free to add blocks!

Class Representative # lifts / [math]\mathcal{O}[/math] [math]k(B)[/math] [math]l(B)[/math] Inertial quotients [math]{\rm Pic}_\mathcal{O}(B)[/math] [math]{\rm Pic}_k(B)[/math] [math]{\rm mf_\mathcal{O}(B)}[/math] [math]{\rm mf_k(B)}[/math] Notes
M(27,3,1) [math]k3_+^{1+2}[/math] 1 11 1 [math]1[/math] 1 1
M(27,3,2) [math]k((C_3 \times C_3):C_6)[/math] 10 2 [math]C_2[/math] 1 1 SmallGroup(54,5)
M(27,3,3) [math]k(3_+^{1+2}:C_2)[/math] 10 2 [math]C_2[/math] 1 1 SmallGroup(54,8)
M(27,3,?) [math]B_0(kSL_3(3))[/math] 16 5 1 1
M(27,3,?) [math]B_0(k(SL_3(3).2))[/math] 13 7 1 1
M(27,3,?) [math]B_0(k(3.M_{22}))[/math] 16 5 1 1
M(27,3,?) [math]B_0(k(3.M_{22}.2))[/math] 14 7 1 1
M(27,3,?) [math]B_6(k(6.M_{22}))[/math] 16 5 1 1
M(27,3,?) [math]B_6(k(6.M_{22}.2))[/math] 14 7 1 1
M(27,3,?) [math]B_{10}(k(12.M_{22}))[/math] 16 5 1 1