Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₈

Direct product G=N×Q with N=C₂³ and Q=C₈

		d	ρ	Label	ID
C₂³×C₈		64		C2^3xC8	64,246

Semidirect products G=N:Q with N=C₂³ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₈ = C₂³⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂³	16		C2^3:C8	64,4
C₂³⋊₂C₈ = C₂×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3:2C8	64,87

Non-split extensions G=N.Q with N=C₂³ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₈ = C₂³.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂³	16	4	C2^3.C8	64,30
C₂³.₂C₈ = C₂²⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3.2C8	64,29
C₂³.₃C₈ = C₂×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3.3C8	64,184

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Extensions 1→N→G→Q→1 with N=C23 and Q=C8