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

Direct product G=NxQ with N=C₈ and Q=C₇:C₈

		d	ρ	Label	ID
C₈xC₇: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) = C₄xC₇:C₁₆	central extension (φ=1)	448		C8.5(C7:C8)	448,17
C₈.₆(C₇:C₈) = C₂xC₇:C₃₂	central extension (φ=1)	448		C8.6(C7:C8)	448,55

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