Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅₆

Direct product G=N×Q with N=C₈ and Q=C₅₆

		d	ρ	Label	ID
C₈×C₅₆		448		C8xC56	448,125

Semidirect products G=N:Q with N=C₈ and Q=C₅₆

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₅₆ = C₇×C₈⋊₁C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₈	448	C8:1C56	448,139
C₈⋊₂C₅₆ = C₇×C₈⋊₂C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₈	448	C8:2C56	448,138
C₈⋊₃C₅₆ = C₇×C₈⋊C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₈	448	C8:3C56	448,126

Non-split extensions G=N.Q with N=C₈ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₅₆ = C₇×C₈.C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₈	112	2	C8.1C56	448,168
C₈.₂C₅₆ = C₇×C₁₆⋊₅C₄	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₈	448		C8.2C56	448,150
C₈.₃C₅₆ = C₇×M₆(2)	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.3C56	448,174

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Extensions 1→N→G→Q→1 with N=C8 and Q=C56