↑

Learn more

Note: Search results may be incomplete due to uncomputed quantities: Subgroup label (103780224 objects)

Refine search

Subgroup label Subgroup order Cyclic Abelian Solvable
Normal Characteristic Perfect Maximal Central Non-trivial proper
Ambient label Ambient order Direct product Semidirect product
Quotient label Subgroup index Cyclic quotient Abelian quotient Solvable quotient Maximal quotient
Sort order Select

Results (5 matches)

  displayed columns for results
Label Subgroup Ambient Quotient
Name Order norm char cyc ab solv max perf cent Name Order Name Size cyc ab solv max
80640.f.2.b1.a1 $\PSL(3,4):C_2$ $2^{7} \cdot 3^{2} \cdot 5 \cdot 7$ ✓ ✓ ✓ $\PSL(3,4):C_2^2$ $2^{8} \cdot 3^{2} \cdot 5 \cdot 7$ $C_2$ $2$ ✓ ✓ ✓
120960.l.3.a1.a1 $\PSL(3,4):C_2$ $2^{7} \cdot 3^{2} \cdot 5 \cdot 7$ ✓ ✓ ✓ $\PSL(3,4):C_6$ $2^{7} \cdot 3^{3} \cdot 5 \cdot 7$ $C_3$ $3$ ✓ ✓ ✓
44352000.a.1100.B $\PSL(3,4):C_2$ $2^{7} \cdot 3^{2} \cdot 5 \cdot 7$ ✓ $\HS$ $2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 11$ $2^{2} \cdot 5^{2} \cdot 11$ $-$ $-$ $-$
812851200.b.20160.I $\PSL(3,4):C_2$ $2^{7} \cdot 3^{2} \cdot 5 \cdot 7$ ✓ $\PSL(3,4)\wr C_2$ $2^{13} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2}$ $2^{6} \cdot 3^{2} \cdot 5 \cdot 7$ $-$ $-$ $-$
9196830720.a.228096.A $\PSL(3,4):C_2$ $2^{7} \cdot 3^{2} \cdot 5 \cdot 7$ ✓ ${}^2A(5,2)$ $2^{15} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 11$ $2^{8} \cdot 3^{4} \cdot 11$ $-$ $-$ $-$
  displayed columns for results