Extensions 1→N→G→Q→1 with N=D4xC9 and Q=C2

Direct product G=NxQ with N=D4xC9 and Q=C2
dρLabelID
D4xC1872D4xC18144,48

Semidirect products G=N:Q with N=D4xC9 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC9):1C2 = D4:D9φ: C2/C1C2 ⊆ Out D4xC9724+(D4xC9):1C2144,16
(D4xC9):2C2 = D4xD9φ: C2/C1C2 ⊆ Out D4xC9364+(D4xC9):2C2144,41
(D4xC9):3C2 = D4:2D9φ: C2/C1C2 ⊆ Out D4xC9724-(D4xC9):3C2144,42
(D4xC9):4C2 = C9xD8φ: C2/C1C2 ⊆ Out D4xC9722(D4xC9):4C2144,25
(D4xC9):5C2 = C9xC4oD4φ: trivial image722(D4xC9):5C2144,50

Non-split extensions G=N.Q with N=D4xC9 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC9).1C2 = D4.D9φ: C2/C1C2 ⊆ Out D4xC9724-(D4xC9).1C2144,15
(D4xC9).2C2 = C9xSD16φ: C2/C1C2 ⊆ Out D4xC9722(D4xC9).2C2144,26

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