Extensions 1→N→G→Q→1 with N=Q8×C27 and Q=C2

Direct product G=N×Q with N=Q8×C27 and Q=C2
dρLabelID
Q8×C54432Q8xC54432,55

Semidirect products G=N:Q with N=Q8×C27 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C27)⋊1C2 = Q82D27φ: C2/C1C2 ⊆ Out Q8×C272164+(Q8xC27):1C2432,18
(Q8×C27)⋊2C2 = Q8×D27φ: C2/C1C2 ⊆ Out Q8×C272164-(Q8xC27):2C2432,49
(Q8×C27)⋊3C2 = Q83D27φ: C2/C1C2 ⊆ Out Q8×C272164+(Q8xC27):3C2432,50
(Q8×C27)⋊4C2 = SD16×C27φ: C2/C1C2 ⊆ Out Q8×C272162(Q8xC27):4C2432,26
(Q8×C27)⋊5C2 = C4○D4×C27φ: trivial image2162(Q8xC27):5C2432,56

Non-split extensions G=N.Q with N=Q8×C27 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C27).1C2 = C27⋊Q16φ: C2/C1C2 ⊆ Out Q8×C274324-(Q8xC27).1C2432,17
(Q8×C27).2C2 = Q16×C27φ: C2/C1C2 ⊆ Out Q8×C274322(Q8xC27).2C2432,27

׿
×
𝔽