Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₁₇

Direct product G=N×Q with N=C₂×C₄ and Q=D₁₇

		d	ρ	Label	ID
C₂×C₄×D₁₇		136		C2xC4xD17	272,37

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₁₇ = D₃₄⋊C₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₄	136		(C2xC4):1D17	272,14
(C₂×C₄)⋊₂D₁₇ = C₂×D₆₈	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₄	136		(C2xC4):2D17	272,38
(C₂×C₄)⋊₃D₁₇ = D₆₈⋊₅C₂	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₄	136	2	(C2xC4):3D17	272,39

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₁₇ = C₃₄.D₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₄	272		(C2xC4).1D17	272,12
(C₂×C₄).₂D₁₇ = C₆₈.₄C₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₄	136	2	(C2xC4).2D17	272,10
(C₂×C₄).₃D₁₇ = C₆₈⋊₃C₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₄	272		(C2xC4).3D17	272,13
(C₂×C₄).₄D₁₇ = C₂×Dic₃₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₄	272		(C2xC4).4D17	272,36
(C₂×C₄).₅D₁₇ = C₂×C₁₇⋊₃C₈	central extension (φ=1)	272		(C2xC4).5D17	272,9
(C₂×C₄).₆D₁₇ = C₄×Dic₁₇	central extension (φ=1)	272		(C2xC4).6D17	272,11

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