Extensions 1→N→G→Q→1 with N=Dic9 and Q=C22

Direct product G=N×Q with N=Dic9 and Q=C22
dρLabelID
C22×Dic9144C2^2xDic9144,45

Semidirect products G=N:Q with N=Dic9 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic91C22 = D4×D9φ: C22/C2C2 ⊆ Out Dic9364+Dic9:1C2^2144,41
Dic92C22 = C2×C9⋊D4φ: C22/C2C2 ⊆ Out Dic972Dic9:2C2^2144,46
Dic93C22 = C2×C4×D9φ: trivial image72Dic9:3C2^2144,38

Non-split extensions G=N.Q with N=Dic9 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic9.1C22 = C2×Dic18φ: C22/C2C2 ⊆ Out Dic9144Dic9.1C2^2144,37
Dic9.2C22 = D365C2φ: C22/C2C2 ⊆ Out Dic9722Dic9.2C2^2144,40
Dic9.3C22 = D42D9φ: C22/C2C2 ⊆ Out Dic9724-Dic9.3C2^2144,42
Dic9.4C22 = Q8×D9φ: C22/C2C2 ⊆ Out Dic9724-Dic9.4C2^2144,43
Dic9.5C22 = Q83D9φ: trivial image724+Dic9.5C2^2144,44

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