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

Extensions 1→N→G→Q→1 with N=C22×C32⋊C4 and Q=C2

Direct product G=N×Q with N=C22×C32⋊C4 and Q=C2
dρLabelID
C23×C32⋊C448C2^3xC3^2:C4288,1039

Semidirect products G=N:Q with N=C22×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C32⋊C4)⋊1C2 = C2×S32⋊C4φ: C2/C1 → C2 ⊆ Out C22×C32⋊C424(C2^2xC3^2:C4):1C2288,880
(C22×C32⋊C4)⋊2C2 = C62⋊D4φ: C2/C1 → C2 ⊆ Out C22×C32⋊C4248+(C2^2xC3^2:C4):2C2288,890
(C22×C32⋊C4)⋊3C2 = D4×C32⋊C4φ: C2/C1 → C2 ⊆ Out C22×C32⋊C4248+(C2^2xC3^2:C4):3C2288,936
(C22×C32⋊C4)⋊4C2 = C2×C62⋊C4φ: C2/C1 → C2 ⊆ Out C22×C32⋊C424(C2^2xC3^2:C4):4C2288,941
(C22×C32⋊C4)⋊5C2 = C22×S3≀C2φ: C2/C1 → C2 ⊆ Out C22×C32⋊C424(C2^2xC3^2:C4):5C2288,1031

Non-split extensions G=N.Q with N=C22×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C32⋊C4).1C2 = C62.D4φ: C2/C1 → C2 ⊆ Out C22×C32⋊C448(C2^2xC3^2:C4).1C2288,385
(C22×C32⋊C4).2C2 = C62.Q8φ: C2/C1 → C2 ⊆ Out C22×C32⋊C448(C2^2xC3^2:C4).2C2288,395
(C22×C32⋊C4).3C2 = (C6×C12)⋊2C4φ: C2/C1 → C2 ⊆ Out C22×C32⋊C448(C2^2xC3^2:C4).3C2288,429
(C22×C32⋊C4).4C2 = C22⋊F9φ: C2/C1 → C2 ⊆ Out C22×C32⋊C4248+(C2^2xC3^2:C4).4C2288,867
(C22×C32⋊C4).5C2 = C2×C3⋊S3.Q8φ: C2/C1 → C2 ⊆ Out C22×C32⋊C448(C2^2xC3^2:C4).5C2288,882
(C22×C32⋊C4).6C2 = C2×C2.PSU3(𝔽2)φ: C2/C1 → C2 ⊆ Out C22×C32⋊C448(C2^2xC3^2:C4).6C2288,894
(C22×C32⋊C4).7C2 = C62⋊Q8φ: C2/C1 → C2 ⊆ Out C22×C32⋊C4248+(C2^2xC3^2:C4).7C2288,895
(C22×C32⋊C4).8C2 = C2×C4⋊(C32⋊C4)φ: C2/C1 → C2 ⊆ Out C22×C32⋊C448(C2^2xC3^2:C4).8C2288,933
(C22×C32⋊C4).9C2 = C22×F9φ: C2/C1 → C2 ⊆ Out C22×C32⋊C436(C2^2xC3^2:C4).9C2288,1030
(C22×C32⋊C4).10C2 = C22×PSU3(𝔽2)φ: C2/C1 → C2 ⊆ Out C22×C32⋊C436(C2^2xC3^2:C4).10C2288,1032
(C22×C32⋊C4).11C2 = C2×C4×C32⋊C4φ: trivial image48(C2^2xC3^2:C4).11C2288,932

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁