Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C5×C4⋊C4 and Q=C6

Direct product G=N×Q with N=C5×C4⋊C4 and Q=C6
dρLabelID
C4⋊C4×C30480C4:C4xC30480,921

Semidirect products G=N:Q with N=C5×C4⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C5×C4⋊C4)⋊1C6 = C3×D20⋊6C4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):1C6480,87
(C5×C4⋊C4)⋊2C6 = C3×D5×C4⋊C4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):2C6480,684
(C5×C4⋊C4)⋊3C6 = C3×C4⋊C4⋊7D5φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):3C6480,685
(C5×C4⋊C4)⋊4C6 = C3×D20⋊8C4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):4C6480,686
(C5×C4⋊C4)⋊5C6 = C3×D10.13D4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):5C6480,687
(C5×C4⋊C4)⋊6C6 = C3×C4⋊D20φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):6C6480,688
(C5×C4⋊C4)⋊7C6 = C3×D10⋊Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):7C6480,689
(C5×C4⋊C4)⋊8C6 = C3×D10⋊2Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):8C6480,690
(C5×C4⋊C4)⋊9C6 = C3×C4⋊C4⋊D5φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):9C6480,691
(C5×C4⋊C4)⋊10C6 = C15×D4⋊C4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):10C6480,205
(C5×C4⋊C4)⋊11C6 = C15×C4⋊D4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):11C6480,926
(C5×C4⋊C4)⋊12C6 = C15×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):12C6480,927
(C5×C4⋊C4)⋊13C6 = C15×C22.D4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):13C6480,928
(C5×C4⋊C4)⋊14C6 = C15×C42⋊2C2φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4240(C5xC4:C4):14C6480,931
(C5×C4⋊C4)⋊15C6 = C15×C42⋊C2φ: trivial image240(C5xC4:C4):15C6480,922
(C5×C4⋊C4)⋊16C6 = D4×C60φ: trivial image240(C5xC4:C4):16C6480,923

Non-split extensions G=N.Q with N=C5×C4⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C5×C4⋊C4).1C6 = C3×C10.D8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).1C6480,85
(C5×C4⋊C4).2C6 = C3×C20.Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).2C6480,86
(C5×C4⋊C4).3C6 = C3×C10.Q16φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).3C6480,88
(C5×C4⋊C4).4C6 = C3×Dic5⋊3Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).4C6480,680
(C5×C4⋊C4).5C6 = C3×C20⋊Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).5C6480,681
(C5×C4⋊C4).6C6 = C3×Dic5.Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).6C6480,682
(C5×C4⋊C4).7C6 = C3×C4.Dic10φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).7C6480,683
(C5×C4⋊C4).8C6 = C15×Q8⋊C4φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).8C6480,206
(C5×C4⋊C4).9C6 = C15×C4.Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).9C6480,209
(C5×C4⋊C4).10C6 = C15×C2.D8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).10C6480,210
(C5×C4⋊C4).11C6 = C15×C42.C2φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).11C6480,930
(C5×C4⋊C4).12C6 = C15×C4⋊Q8φ: C6/C3 → C2 ⊆ Out C5×C4⋊C4480(C5xC4:C4).12C6480,933
(C5×C4⋊C4).13C6 = Q8×C60φ: trivial image480(C5xC4:C4).13C6480,924

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁