Extensions 1→N→G→Q→1 with N=Q8×C25 and Q=C2

Direct product G=N×Q with N=Q8×C25 and Q=C2
dρLabelID
Q8×C50400Q8xC50400,47

Semidirect products G=N:Q with N=Q8×C25 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C25)⋊1C2 = Q8⋊D25φ: C2/C1C2 ⊆ Out Q8×C252004+(Q8xC25):1C2400,18
(Q8×C25)⋊2C2 = Q8×D25φ: C2/C1C2 ⊆ Out Q8×C252004-(Q8xC25):2C2400,41
(Q8×C25)⋊3C2 = Q82D25φ: C2/C1C2 ⊆ Out Q8×C252004+(Q8xC25):3C2400,42
(Q8×C25)⋊4C2 = SD16×C25φ: C2/C1C2 ⊆ Out Q8×C252002(Q8xC25):4C2400,26
(Q8×C25)⋊5C2 = C4○D4×C25φ: trivial image2002(Q8xC25):5C2400,48

Non-split extensions G=N.Q with N=Q8×C25 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C25).1C2 = C25⋊Q16φ: C2/C1C2 ⊆ Out Q8×C254004-(Q8xC25).1C2400,17
(Q8×C25).2C2 = Q16×C25φ: C2/C1C2 ⊆ Out Q8×C254002(Q8xC25).2C2400,27

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