Extensions 1→N→G→Q→1 with N=Dic34 and Q=C2

Direct product G=N×Q with N=Dic34 and Q=C2
dρLabelID
C2×Dic34272C2xDic34272,36

Semidirect products G=N:Q with N=Dic34 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic341C2 = C136⋊C2φ: C2/C1C2 ⊆ Out Dic341362Dic34:1C2272,6
Dic342C2 = D4.D17φ: C2/C1C2 ⊆ Out Dic341364-Dic34:2C2272,16
Dic343C2 = D42D17φ: C2/C1C2 ⊆ Out Dic341364-Dic34:3C2272,41
Dic344C2 = Q8×D17φ: C2/C1C2 ⊆ Out Dic341364-Dic34:4C2272,42
Dic345C2 = D685C2φ: trivial image1362Dic34:5C2272,39

Non-split extensions G=N.Q with N=Dic34 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic34.1C2 = Dic68φ: C2/C1C2 ⊆ Out Dic342722-Dic34.1C2272,8
Dic34.2C2 = C17⋊Q16φ: C2/C1C2 ⊆ Out Dic342724-Dic34.2C2272,18

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