Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₈

Direct product G=N×Q with N=C₂⁴ and Q=C₈

		d	ρ	Label	ID
C₂⁴×C₈		128		C2^4xC8	128,2301

Semidirect products G=N:Q with N=C₂⁴ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊₁C₈ = C₂⁴⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂⁴	16		C2^4:1C8	128,48
C₂⁴⋊₂C₈ = C₂×C₂³⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂⁴	32		C2^4:2C8	128,188
C₂⁴⋊₃C₈ = C₂⁴⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂⁴	32		C2^4:3C8	128,511
C₂⁴⋊₄C₈ = C₂²×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4:4C8	128,1608

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.₁C₈ = C₂³⋊C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₂⁴	32		C2^4.1C8	128,46
C₂⁴.₂C₈ = C₂⁴.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂⁴	16	4	C2^4.2C8	128,52
C₂⁴.₃C₈ = C₂×C₂³.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂⁴	32		C2^4.3C8	128,846
C₂⁴.₄C₈ = C₂×C₂²⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.4C8	128,843
C₂⁴.₅C₈ = C₂⁴.₅C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂⁴	32		C2^4.5C8	128,844
C₂⁴.₆C₈ = C₂²×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.6C8	128,2137

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