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

Extensions 1→N→G→Q→1 with N=C6×C3⋊S3 and Q=C4

Direct product G=N×Q with N=C6×C3⋊S3 and Q=C4
dρLabelID
C3⋊S3×C2×C12144C3:S3xC2xC12432,711

Semidirect products G=N:Q with N=C6×C3⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×C3⋊S3)⋊1C4 = C3×C6.D12φ: C4/C2 → C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):1C4432,427
(C6×C3⋊S3)⋊2C4 = C62.78D6φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3):2C4432,450
(C6×C3⋊S3)⋊3C4 = C62.84D6φ: C4/C2 → C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):3C4432,461
(C6×C3⋊S3)⋊4C4 = C3×C6.11D12φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3):4C4432,490
(C6×C3⋊S3)⋊5C4 = C3×C62⋊C4φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3244(C6xC3:S3):5C4432,634
(C6×C3⋊S3)⋊6C4 = C62⋊11Dic3φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3244(C6xC3:S3):6C4432,641
(C6×C3⋊S3)⋊7C4 = C6×C6.D6φ: C4/C2 → C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):7C4432,654
(C6×C3⋊S3)⋊8C4 = C2×Dic3×C3⋊S3φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3):8C4432,677
(C6×C3⋊S3)⋊9C4 = C2×C33⋊9(C2×C4)φ: C4/C2 → C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):9C4432,692
(C6×C3⋊S3)⋊10C4 = C2×C6×C32⋊C4φ: C4/C2 → C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):10C4432,765
(C6×C3⋊S3)⋊11C4 = C22×C33⋊C4φ: C4/C2 → C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):11C4432,766

Non-split extensions G=N.Q with N=C6×C3⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×C3⋊S3).1C4 = C6×F9φ: C4/C1 → C4 ⊆ Out C6×C3⋊S3488(C6xC3:S3).1C4432,751
(C6×C3⋊S3).2C4 = C2×C3⋊F9φ: C4/C1 → C4 ⊆ Out C6×C3⋊S3488(C6xC3:S3).2C4432,752
(C6×C3⋊S3).3C4 = C3×C12.29D6φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).3C4432,415
(C6×C3⋊S3).4C4 = C3×C12.31D6φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).4C4432,417
(C6×C3⋊S3).5C4 = C3⋊S3×C3⋊C8φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3).5C4432,431
(C6×C3⋊S3).6C4 = C33⋊8M4(2)φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3).6C4432,434
(C6×C3⋊S3).7C4 = C12.93S32φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).7C4432,455
(C6×C3⋊S3).8C4 = C33⋊10M4(2)φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).8C4432,456
(C6×C3⋊S3).9C4 = C3×C24⋊S3φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3).9C4432,481
(C6×C3⋊S3).10C4 = C3×C3⋊S3⋊3C8φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).10C4432,628
(C6×C3⋊S3).11C4 = C3×C32⋊M4(2)φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).11C4432,629
(C6×C3⋊S3).12C4 = C33⋊7(C2×C8)φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).12C4432,635
(C6×C3⋊S3).13C4 = C33⋊4M4(2)φ: C4/C2 → C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).13C4432,636
(C6×C3⋊S3).14C4 = C3⋊S3×C24φ: trivial image144(C6xC3:S3).14C4432,480

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁