↑

Learn more

Refine search

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

Results (1-50 of at least 1000)

Next   To download results, determine the number of results.
Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
3456.kc.1.a1.a1 $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $C_1$ $1$ ✓
3456.kc.2.a1.a1 $C_3^2:C_2\wr A_4$ $2^{6} \cdot 3^{3}$ ✓ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $C_2$ $2$ ✓
3456.kc.2.b1.a1 $(Q_8\times C_3^2):S_4$ $2^{6} \cdot 3^{3}$ ✓ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $C_2$ $2$ ✓
3456.kc.2.c1.a1 $(C_2\times C_6^2):S_4$ $2^{6} \cdot 3^{3}$ ✓ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $C_2$ $2$ ✓
3456.kc.3.a1.a1 $(C_2^3\times C_6):S_4$ $2^{7} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3$ $-$
3456.kc.3.b1.a1 $(C_6\times D_{12}):D_4$ $2^{7} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3$ $-$
3456.kc.3.c1.a1 $(C_2^2\times D_6):S_4$ $2^{7} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3$ $-$
3456.kc.3.c1.b1 $(C_2^2\times D_6):S_4$ $2^{7} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3$ $-$
3456.kc.3.c1.c1 $(C_2^2\times D_6):S_4$ $2^{7} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3$ $-$
3456.kc.4.a1.a1 $C_3^2\times Q_8:A_4$ $2^{5} \cdot 3^{3}$ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $C_2^2$ $2^{2}$ ✓
3456.kc.4.b1.a1 $S_3\times C_6:S_4$ $2^{5} \cdot 3^{3}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{2}$ $-$
3456.kc.6.a1.a1 $(C_6\times C_{12}):D_4$ $2^{6} \cdot 3^{2}$ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $S_3$ $2 \cdot 3$
3456.kc.6.b1.a1 $(C_2^2\times D_6):A_4$ $2^{6} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $S_3$ $2 \cdot 3$
3456.kc.6.b1.b1 $(C_2^2\times D_6):A_4$ $2^{6} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $S_3$ $2 \cdot 3$
3456.kc.6.b1.c1 $(C_2^2\times D_6):A_4$ $2^{6} \cdot 3^{2}$ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $S_3$ $2 \cdot 3$
3456.kc.6.c1.a1 $(C_3\times Q_8):S_4$ $2^{6} \cdot 3^{2}$ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $S_3$ $2 \cdot 3$
3456.kc.6.d1.a1 $C_3^2:D_4^2$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.e1.a1 $(C_6\times C_{12}).D_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.f1.a1 $(C_6\times D_{12}):C_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.g1.a1 $(C_2\times C_{12}).D_{12}$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.h1.a1 $C_3\times C_2\wr A_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.i1.a1 $(C_6\times D_{12}):C_2^2$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.j1.a1 $C_3\times Q_8:S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.j1.b1 $C_3\times Q_8:S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.j1.c1 $C_3\times Q_8:S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.k1.a1 $(C_6\times C_{12}):D_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.l1.a1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.m1.a1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.n1.a1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.n1.b1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.n1.c1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.o1.a1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.o1.b1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.6.o1.c1 $(C_2^2\times C_6):S_4$ $2^{6} \cdot 3^{2}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2 \cdot 3$ $-$
3456.kc.8.a1.a1 $C_6\times S_3\times A_4$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.b1.a1 $C_6^2:D_6$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.c1.a1 $C_6^2:D_6$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.d1.a1 $C_6^2:D_6$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.e1.a1 $C_3^2:\GL(2,3)$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.f1.a1 $A_4:S_3^2$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.f1.b1 $A_4:S_3^2$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.f1.c1 $A_4:S_3^2$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.8.f1.d1 $A_4:S_3^2$ $2^{4} \cdot 3^{3}$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $2^{3}$ $-$
3456.kc.9.a1.a1 $(C_2\times D_{12}):D_4$ $2^{7} \cdot 3$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3^{2}$ $-$
3456.kc.9.b1.a1 $C_2\wr S_4$ $2^{7} \cdot 3$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3^{2}$ $-$
3456.kc.9.b1.b1 $C_2\wr S_4$ $2^{7} \cdot 3$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3^{2}$ $-$
3456.kc.9.b1.c1 $C_2\wr S_4$ $2^{7} \cdot 3$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3^{2}$ $-$
3456.kc.9.c1.a1 $(C_4\times C_{12}):D_4$ $2^{7} \cdot 3$ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $3^{2}$ $-$
3456.kc.12.a1.a1 $D_4:C_6^2$ $2^{5} \cdot 3^{2}$ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $D_6$ $2^{2} \cdot 3$
3456.kc.12.b1.a1 $C_3\times Q_8:A_4$ $2^{5} \cdot 3^{2}$ ✓ ✓ $C_3^2:C_2\wr S_4$ $2^{7} \cdot 3^{3}$ $D_6$ $2^{2} \cdot 3$
Next   To download results, determine the number of results.