Extensions 1→N→G→Q→1 with N=C₃₄ and Q=C₈

Direct product G=N×Q with N=C₃₄ and Q=C₈

		d	ρ	Label	ID
C₂×C₁₃₆		272		C2xC136	272,23

Semidirect products G=N:Q with N=C₃₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊C₈ = C₂×C₁₇⋊C₈	φ: C₈/C₁ → C₈ ⊆ Aut C₃₄	34	8+	C34:C8	272,51
C₃₄⋊₂C₈ = C₂×C₁₇⋊₂C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃₄	272		C34:2C8	272,33
C₃₄⋊₃C₈ = C₂×C₁₇⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₄	272		C34:3C8	272,9

Non-split extensions G=N.Q with N=C₃₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.C₈ = C₃₄.C₈	φ: C₈/C₁ → C₈ ⊆ Aut C₃₄	272	8-	C34.C8	272,28
C₃₄.₂C₈ = C₁₇⋊₃C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₃₄	272	4	C34.2C8	272,3
C₃₄.₃C₈ = C₁₇⋊₄C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃₄	272	2	C34.3C8	272,1

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Extensions 1→N→G→Q→1 with N=C34 and Q=C8