Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=D₁₇

Direct product G=N×Q with N=C₂×C₆ and Q=D₁₇

		d	ρ	Label	ID
C₂×C₆×D₁₇		204		C2xC6xD17	408,43

Semidirect products G=N:Q with N=C₂×C₆ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁D₁₇ = C₃×C₁₇⋊D₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₆	204	2	(C2xC6):1D17	408,19
(C₂×C₆)⋊₂D₁₇ = C₅₁⋊₇D₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₆	204	2	(C2xC6):2D17	408,29
(C₂×C₆)⋊₃D₁₇ = C₂²×D₅₁	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₆	204		(C2xC6):3D17	408,45

Non-split extensions G=N.Q with N=C₂×C₆ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).D₁₇ = C₂×Dic₅₁	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂×C₆	408		(C2xC6).D17	408,28
(C₂×C₆).₂D₁₇ = C₆×Dic₁₇	central extension (φ=1)	408		(C2xC6).2D17	408,18

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D17