Extensions 1→N→G→Q→1 with N=C₃₄ and Q=C₄

Direct product G=N×Q with N=C₃₄ and Q=C₄

		d	ρ	Label	ID
C₂×C₆₈		136		C2xC68	136,9

Semidirect products G=N:Q with N=C₃₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊C₄ = C₂×C₁₇⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃₄	34	4+	C34:C4	136,13
C₃₄⋊₂C₄ = C₂×Dic₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₃₄	136		C34:2C4	136,7

Non-split extensions G=N.Q with N=C₃₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.C₄ = C₁₇⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃₄	136	4-	C34.C4	136,3
C₃₄.₂C₄ = C₁₇⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃₄	136	2	C34.2C4	136,1

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Extensions 1→N→G→Q→1 with N=C34 and Q=C4