Extensions 1→N→G→Q→1 with N=D34 and Q=C2

Direct product G=N×Q with N=D34 and Q=C2
dρLabelID
C22×D1768C2^2xD17136,14

Semidirect products G=N:Q with N=D34 and Q=C2
extensionφ:Q→Out NdρLabelID
D341C2 = D68φ: C2/C1C2 ⊆ Out D34682+D34:1C2136,6
D342C2 = C17⋊D4φ: C2/C1C2 ⊆ Out D34682D34:2C2136,8

Non-split extensions G=N.Q with N=D34 and Q=C2
extensionφ:Q→Out NdρLabelID
D34.C2 = C2×C17⋊C4φ: C2/C1C2 ⊆ Out D34344+D34.C2136,13
D34.2C2 = C4×D17φ: trivial image682D34.2C2136,5

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