Extensions 1→N→G→Q→1 with N=Q8×C2×C6 and Q=C3

Direct product G=N×Q with N=Q8×C2×C6 and Q=C3
dρLabelID
Q8×C62288Q8xC6^2288,1020

Semidirect products G=N:Q with N=Q8×C2×C6 and Q=C3
extensionφ:Q→Out NdρLabelID
(Q8×C2×C6)⋊1C3 = C2×C6×SL2(𝔽3)φ: C3/C1C3 ⊆ Out Q8×C2×C696(Q8xC2xC6):1C3288,981
(Q8×C2×C6)⋊2C3 = C3×Q8×A4φ: C3/C1C3 ⊆ Out Q8×C2×C6726(Q8xC2xC6):2C3288,982
(Q8×C2×C6)⋊3C3 = C3×Q8⋊A4φ: C3/C1C3 ⊆ Out Q8×C2×C6726(Q8xC2xC6):3C3288,986

Non-split extensions G=N.Q with N=Q8×C2×C6 and Q=C3
extensionφ:Q→Out NdρLabelID
(Q8×C2×C6).1C3 = C22×Q8⋊C9φ: C3/C1C3 ⊆ Out Q8×C2×C6288(Q8xC2xC6).1C3288,345
(Q8×C2×C6).2C3 = Q8×C3.A4φ: C3/C1C3 ⊆ Out Q8×C2×C6726(Q8xC2xC6).2C3288,346
(Q8×C2×C6).3C3 = C22⋊(Q8⋊C9)φ: C3/C1C3 ⊆ Out Q8×C2×C6726(Q8xC2xC6).3C3288,350
(Q8×C2×C6).4C3 = Q8×C2×C18φ: trivial image288(Q8xC2xC6).4C3288,369

׿
×
𝔽