Extensions 1→N→G→Q→1 with N=C2×A4 and Q=C2×C6

Direct product G=N×Q with N=C2×A4 and Q=C2×C6
dρLabelID
A4×C22×C672A4xC2^2xC6288,1041

Semidirect products G=N:Q with N=C2×A4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C2×A4)⋊(C2×C6) = C2×C6×S4φ: C2×C6/C6C2 ⊆ Out C2×A436(C2xA4):(C2xC6)288,1033

Non-split extensions G=N.Q with N=C2×A4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C2×A4).1(C2×C6) = C3×A4⋊Q8φ: C2×C6/C6C2 ⊆ Out C2×A4726(C2xA4).1(C2xC6)288,896
(C2×A4).2(C2×C6) = C12×S4φ: C2×C6/C6C2 ⊆ Out C2×A4363(C2xA4).2(C2xC6)288,897
(C2×A4).3(C2×C6) = C3×C4⋊S4φ: C2×C6/C6C2 ⊆ Out C2×A4366(C2xA4).3(C2xC6)288,898
(C2×A4).4(C2×C6) = C6×A4⋊C4φ: C2×C6/C6C2 ⊆ Out C2×A472(C2xA4).4(C2xC6)288,905
(C2×A4).5(C2×C6) = C3×A4⋊D4φ: C2×C6/C6C2 ⊆ Out C2×A4366(C2xA4).5(C2xC6)288,906
(C2×A4).6(C2×C6) = A4×C2×C12φ: trivial image72(C2xA4).6(C2xC6)288,979
(C2×A4).7(C2×C6) = C3×D4×A4φ: trivial image366(C2xA4).7(C2xC6)288,980
(C2×A4).8(C2×C6) = C3×Q8×A4φ: trivial image726(C2xA4).8(C2xC6)288,982

׿
×
𝔽