Extensions 1→N→G→Q→1 with N=C2×C34 and Q=C2

Direct product G=N×Q with N=C2×C34 and Q=C2
dρLabelID
C22×C34136C2^2xC34136,15

Semidirect products G=N:Q with N=C2×C34 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C34)⋊1C2 = D4×C17φ: C2/C1C2 ⊆ Aut C2×C34682(C2xC34):1C2136,10
(C2×C34)⋊2C2 = C17⋊D4φ: C2/C1C2 ⊆ Aut C2×C34682(C2xC34):2C2136,8
(C2×C34)⋊3C2 = C22×D17φ: C2/C1C2 ⊆ Aut C2×C3468(C2xC34):3C2136,14

Non-split extensions G=N.Q with N=C2×C34 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C34).C2 = C2×Dic17φ: C2/C1C2 ⊆ Aut C2×C34136(C2xC34).C2136,7

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