Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=Dic₇

Direct product G=N×Q with N=C₂×C₈ and Q=Dic₇

		d	ρ	Label	ID
C₂×C₈×Dic₇		448		C2xC8xDic7	448,632

Semidirect products G=N:Q with N=C₂×C₈ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁Dic₇ = (C₂×C₅₆)⋊C₄	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂×C₈	112	4	(C2xC8):1Dic7	448,113
(C₂×C₈)⋊₂Dic₇ = C₂³.₉D₂₈	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂×C₈	112	4	(C2xC8):2Dic7	448,114
(C₂×C₈)⋊₃Dic₇ = (C₂×C₅₆)⋊₅C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8):3Dic7	448,107
(C₂×C₈)⋊₄Dic₇ = C₂₈.₉C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8):4Dic7	448,108
(C₂×C₈)⋊₅Dic₇ = C₂×C₅₆⋊₁C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8):5Dic7	448,639
(C₂×C₈)⋊₆Dic₇ = C₂³.₂₂D₂₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8):6Dic7	448,640
(C₂×C₈)⋊₇Dic₇ = C₂×C₈⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8):7Dic7	448,638
(C₂×C₈)⋊₈Dic₇ = C₂×C₅₆⋊C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8):8Dic7	448,634
(C₂×C₈)⋊₉Dic₇ = C₂₈.₁₂C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8):9Dic7	448,635

Non-split extensions G=N.Q with N=C₂×C₈ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁Dic₇ = C₂₈.₁₅C₄²	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂×C₈	112	4	(C2xC8).1Dic7	448,23
(C₂×C₈).₂Dic₇ = C₅₆.D₄	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂×C₈	112	4	(C2xC8).2Dic7	448,110
(C₂×C₈).₃Dic₇ = C₂₈.₂₁C₄²	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂×C₈	112	4	(C2xC8).3Dic7	448,117
(C₂×C₈).₄Dic₇ = C₄².₂₇₉D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8).4Dic7	448,11
(C₂×C₈).₅Dic₇ = C₂₈⋊C₁₆	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8).5Dic7	448,19
(C₂×C₈).₆Dic₇ = C₅₆.₉₁D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).6Dic7	448,106
(C₂×C₈).₇Dic₇ = C₂₈.₁₀C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).7Dic7	448,109
(C₂×C₈).₈Dic₇ = C₅₆⋊₁C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8).8Dic7	448,15
(C₂×C₈).₉Dic₇ = C₅₆.₁₆Q₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8).9Dic7	448,20
(C₂×C₈).₁₀Dic₇ = C₅₆⋊₂C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8).10Dic7	448,14
(C₂×C₈).₁₁Dic₇ = C₂×C₅₆.C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).11Dic7	448,641
(C₂×C₈).₁₂Dic₇ = C₅₆⋊C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8).12Dic7	448,12
(C₂×C₈).₁₃Dic₇ = C₅₆.C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	448		(C2xC8).13Dic7	448,18
(C₂×C₈).₁₄Dic₇ = C₇⋊M₆(2)	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	224	2	(C2xC8).14Dic7	448,56
(C₂×C₈).₁₅Dic₇ = C₂×C₂₈.C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).15Dic7	448,631
(C₂×C₈).₁₆Dic₇ = C₈×C₇⋊C₈	central extension (φ=1)	448		(C2xC8).16Dic7	448,10
(C₂×C₈).₁₇Dic₇ = C₄×C₇⋊C₁₆	central extension (φ=1)	448		(C2xC8).17Dic7	448,17
(C₂×C₈).₁₈Dic₇ = C₂×C₇⋊C₃₂	central extension (φ=1)	448		(C2xC8).18Dic7	448,55
(C₂×C₈).₁₉Dic₇ = C₂²×C₇⋊C₁₆	central extension (φ=1)	448		(C2xC8).19Dic7	448,630

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