Extensions 1→N→G→Q→1 with N=C₂×Dic₁₇ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₁₇ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₁₇		272		C2^2xDic17	272,44

Semidirect products G=N:Q with N=C₂×Dic₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₇)⋊₁C₂ = D₃₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	136		(C2xDic17):1C2	272,14
(C₂×Dic₁₇)⋊₂C₂ = C₂³.D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	136		(C2xDic17):2C2	272,19
(C₂×Dic₁₇)⋊₃C₂ = D₄⋊₂D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	136	4-	(C2xDic17):3C2	272,41
(C₂×Dic₁₇)⋊₄C₂ = C₂×C₁₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	136		(C2xDic17):4C2	272,45
(C₂×Dic₁₇)⋊₅C₂ = C₂×C₄×D₁₇	φ: trivial image	136		(C2xDic17):5C2	272,37

Non-split extensions G=N.Q with N=C₂×Dic₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₇).₁C₂ = C₃₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	272		(C2xDic17).1C2	272,12
(C₂×Dic₁₇).₂C₂ = C₆₈⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	272		(C2xDic17).2C2	272,13
(C₂×Dic₁₇).₃C₂ = C₂×Dic₃₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	272		(C2xDic17).3C2	272,36
(C₂×Dic₁₇).₄C₂ = C₂×C₁₇⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	272		(C2xDic17).4C2	272,33
(C₂×Dic₁₇).₅C₂ = C₁₇⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₇	136	4-	(C2xDic17).5C2	272,34
(C₂×Dic₁₇).₆C₂ = C₄×Dic₁₇	φ: trivial image	272		(C2xDic17).6C2	272,11

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