Extensions 1→N→G→Q→1 with N=C₄×C₈ and Q=D₇

Direct product G=N×Q with N=C₄×C₈ and Q=D₇

		d	ρ	Label	ID
D₇×C₄×C₈		224		D7xC4xC8	448,218

Semidirect products G=N:Q with N=C₄×C₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈)⋊₁D₇ = C₄.₁₇D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):1D7	448,16
(C₄×C₈)⋊₂D₇ = C₄².₂₈₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):2D7	448,219
(C₄×C₈)⋊₃D₇ = C₈×D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):3D7	448,220
(C₄×C₈)⋊₄D₇ = C₄².₂₄₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):4D7	448,224
(C₄×C₈)⋊₅D₇ = C₄.₅D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):5D7	448,228
(C₄×C₈)⋊₆D₇ = C₄².₂₆₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):6D7	448,231
(C₄×C₈)⋊₇D₇ = C₄×D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):7D7	448,226
(C₄×C₈)⋊₈D₇ = C₂₈⋊₄D₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):8D7	448,229
(C₄×C₈)⋊₉D₇ = C₈.₈D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):9D7	448,230
(C₄×C₈)⋊₁₀D₇ = D₅₆⋊₁₁C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	112	2	(C4xC8):10D7	448,234
(C₄×C₈)⋊₁₁D₇ = C₄×C₅₆⋊C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):11D7	448,225
(C₄×C₈)⋊₁₂D₇ = C₈⋊₅D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):12D7	448,227
(C₄×C₈)⋊₁₃D₇ = C₄×C₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):13D7	448,221
(C₄×C₈)⋊₁₄D₇ = C₈⋊₆D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):14D7	448,222
(C₄×C₈)⋊₁₅D₇ = D₁₄.C₄²	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	224		(C4xC8):15D7	448,223

Non-split extensions G=N.Q with N=C₄×C₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈).₁D₇ = C₄².₂₇₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).1D7	448,11
(C₄×C₈).₂D₇ = C₄.₈Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).2D7	448,13
(C₄×C₈).₃D₇ = C₂₈⋊C₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).3D7	448,19
(C₄×C₈).₄D₇ = C₈×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).4D7	448,212
(C₄×C₈).₅D₇ = C₂₈.₁₄Q₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).5D7	448,215
(C₄×C₈).₆D₇ = C₅₆⋊₁C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).6D7	448,15
(C₄×C₈).₇D₇ = C₅₆⋊₈Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).7D7	448,216
(C₄×C₈).₈D₇ = C₄×Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).8D7	448,232
(C₄×C₈).₉D₇ = C₂₈⋊₄Q₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).9D7	448,233
(C₄×C₈).₁₀D₇ = C₅₆.₁₃Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).10D7	448,217
(C₄×C₈).₁₁D₇ = C₅₆.₁₆Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	112	2	(C4xC8).11D7	448,20
(C₄×C₈).₁₂D₇ = C₅₆⋊₂C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).12D7	448,14
(C₄×C₈).₁₃D₇ = C₅₆⋊₉Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).13D7	448,214
(C₄×C₈).₁₄D₇ = C₅₆⋊C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).14D7	448,12
(C₄×C₈).₁₅D₇ = C₅₆.C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).15D7	448,18
(C₄×C₈).₁₆D₇ = C₅₆⋊₁₁Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄×C₈	448		(C4xC8).16D7	448,213
(C₄×C₈).₁₇D₇ = C₈×C₇⋊C₈	central extension (φ=1)	448		(C4xC8).17D7	448,10
(C₄×C₈).₁₈D₇ = C₄×C₇⋊C₁₆	central extension (φ=1)	448		(C4xC8).18D7	448,17

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