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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₇⋊C₈) = C₅₆⋊₁C₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8:1(C7:C8)	448,15
C₈⋊₂(C₇⋊C₈) = C₅₆⋊₂C₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8:2(C7:C8)	448,14
C₈⋊₃(C₇⋊C₈) = C₅₆⋊C₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8:3(C7:C8)	448,12

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₇⋊C₈) = C₅₆.₁₆Q₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₈	112	2	C8.1(C7:C8)	448,20
C₈.₂(C₇⋊C₈) = C₅₆.C₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8.2(C7:C8)	448,18
C₈.₃(C₇⋊C₈) = C₇⋊M₆(2)	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.3(C7:C8)	448,56
C₈.₄(C₇⋊C₈) = C₇⋊C₆₄	central extension (φ=1)	448	2	C8.4(C7:C8)	448,1
C₈.₅(C₇⋊C₈) = C₄×C₇⋊C₁₆	central extension (φ=1)	448		C8.5(C7:C8)	448,17
C₈.₆(C₇⋊C₈) = C₂×C₇⋊C₃₂	central extension (φ=1)	448		C8.6(C7:C8)	448,55

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