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

Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C3×C6

Direct product G=N×Q with N=C22×C4 and Q=C3×C6
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C22×C4 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊(C3×C6) = C3×D4×A4φ: C3×C6/C3 → C6 ⊆ Aut C22×C4366(C2^2xC4):(C3xC6)288,980
(C22×C4)⋊2(C3×C6) = A4×C2×C12φ: C3×C6/C6 → C3 ⊆ Aut C22×C472(C2^2xC4):2(C3xC6)288,979
(C22×C4)⋊3(C3×C6) = C22⋊C4×C3×C6φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4):3(C3xC6)288,812
(C22×C4)⋊4(C3×C6) = D4×C3×C12φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4):4(C3xC6)288,815
(C22×C4)⋊5(C3×C6) = C32×C22.D4φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4):5(C3xC6)288,820
(C22×C4)⋊6(C3×C6) = C32×C4⋊D4φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4):6(C3xC6)288,818
(C22×C4)⋊7(C3×C6) = D4×C62φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4):7(C3xC6)288,1019
(C22×C4)⋊8(C3×C6) = C4○D4×C3×C6φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4):8(C3xC6)288,1021

Non-split extensions G=N.Q with N=C22×C4 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
(C22×C4).(C3×C6) = C3×Q8×A4φ: C3×C6/C3 → C6 ⊆ Aut C22×C4726(C2^2xC4).(C3xC6)288,982
(C22×C4).2(C3×C6) = A4×C24φ: C3×C6/C6 → C3 ⊆ Aut C22×C4723(C2^2xC4).2(C3xC6)288,637
(C22×C4).3(C3×C6) = C32×C2.C42φ: C3×C6/C32 → C2 ⊆ Aut C22×C4288(C2^2xC4).3(C3xC6)288,313
(C22×C4).4(C3×C6) = C32×C22⋊C8φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4).4(C3xC6)288,316
(C22×C4).5(C3×C6) = C4⋊C4×C3×C6φ: C3×C6/C32 → C2 ⊆ Aut C22×C4288(C2^2xC4).5(C3xC6)288,813
(C22×C4).6(C3×C6) = C32×C42⋊C2φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4).6(C3xC6)288,814
(C22×C4).7(C3×C6) = C32×C22⋊Q8φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4).7(C3xC6)288,819
(C22×C4).8(C3×C6) = M4(2)×C3×C6φ: C3×C6/C32 → C2 ⊆ Aut C22×C4144(C2^2xC4).8(C3xC6)288,827
(C22×C4).9(C3×C6) = Q8×C62φ: C3×C6/C32 → C2 ⊆ Aut C22×C4288(C2^2xC4).9(C3xC6)288,1020

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁