Extensions 1→N→G→Q→1 with N=Dic17 and Q=C2

Direct product G=N×Q with N=Dic17 and Q=C2
dρLabelID
C2×Dic17136C2xDic17136,7

Semidirect products G=N:Q with N=Dic17 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic17⋊C2 = C17⋊D4φ: C2/C1C2 ⊆ Out Dic17682Dic17:C2136,8
Dic172C2 = C4×D17φ: trivial image682Dic17:2C2136,5

Non-split extensions G=N.Q with N=Dic17 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic17.1C2 = Dic34φ: C2/C1C2 ⊆ Out Dic171362-Dic17.1C2136,4
Dic17.2C2 = C172C8φ: C2/C1C2 ⊆ Out Dic171364-Dic17.2C2136,3

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