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

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

		d	ρ	Label	ID
C₈×C₇⋊C₈		448		C8xC7:C8	448,10

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈⋊₁C₈ = C₂₈.₅₃D₈	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊C₈	448		C7:C8:1C8	448,36
C₇⋊C₈⋊₂C₈ = C₂₈.₃₉SD₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊C₈	448		C7:C8:2C8	448,37
C₇⋊C₈⋊₃C₈ = C₄².₂₇₉D₁₄	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊C₈	448		C7:C8:3C8	448,11

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈.₁C₈ = C₅₆.₉Q₈	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.1C8	448,68
C₇⋊C₈.₂C₈ = C₃₂⋊D₇	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊C₈	224	2	C7:C8.2C8	448,4
C₇⋊C₈.₃C₈ = C₁₁₂⋊₉C₄	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊C₈	448		C7:C8.3C8	448,59
C₇⋊C₈.₄C₈ = D₇×C₃₂	φ: trivial image	224	2	C7:C8.4C8	448,3
C₇⋊C₈.₅C₈ = C₁₆×Dic₇	φ: trivial image	448		C7:C8.5C8	448,57

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