Extensions 1→N→G→Q→1 with N=C₇⋊C₈ and Q=C₄

Direct product G=N×Q with N=C₇⋊C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₇⋊C₈		224		C4xC7:C8	224,8

Semidirect products G=N:Q with N=C₇⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈⋊₁C₄ = C₂₈.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8:1C4	224,13
C₇⋊C₈⋊₂C₄ = C₄.Dic₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8:2C4	224,14
C₇⋊C₈⋊₃C₄ = C₄².D₇	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8:3C4	224,9
C₇⋊C₈⋊₄C₄ = C₅₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8:4C4	224,21
C₇⋊C₈⋊₅C₄ = C₈×Dic₇	φ: trivial image	224		C7:C8:5C4	224,19

Non-split extensions G=N.Q with N=C₇⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈.₁C₄ = C₂₈.₅₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.1C4	224,28
C₇⋊C₈.₂C₄ = C₁₆⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₈	112	2	C7:C8.2C4	224,4
C₇⋊C₈.₃C₄ = D₇×C₁₆	φ: trivial image	112	2	C7:C8.3C4	224,3

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