Extensions 1→N→G→Q→1 with N=D4×C25 and Q=C2

Direct product G=N×Q with N=D4×C25 and Q=C2
dρLabelID
D4×C50200D4xC50400,46

Semidirect products G=N:Q with N=D4×C25 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C25)⋊1C2 = D4⋊D25φ: C2/C1C2 ⊆ Out D4×C252004+(D4xC25):1C2400,16
(D4×C25)⋊2C2 = D4×D25φ: C2/C1C2 ⊆ Out D4×C251004+(D4xC25):2C2400,39
(D4×C25)⋊3C2 = D42D25φ: C2/C1C2 ⊆ Out D4×C252004-(D4xC25):3C2400,40
(D4×C25)⋊4C2 = D8×C25φ: C2/C1C2 ⊆ Out D4×C252002(D4xC25):4C2400,25
(D4×C25)⋊5C2 = C4○D4×C25φ: trivial image2002(D4xC25):5C2400,48

Non-split extensions G=N.Q with N=D4×C25 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C25).1C2 = D4.D25φ: C2/C1C2 ⊆ Out D4×C252004-(D4xC25).1C2400,15
(D4×C25).2C2 = SD16×C25φ: C2/C1C2 ⊆ Out D4×C252002(D4xC25).2C2400,26

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