Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₈

Direct product G=N×Q with N=C₁₂ and Q=C₈

		d	ρ	Label	ID
C₄×C₂₄		96		C4xC24	96,46

Semidirect products G=N:Q with N=C₁₂ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₈ = C₁₂⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12:1C8	96,11
C₁₂⋊₂C₈ = C₄×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12:2C8	96,9
C₁₂⋊₃C₈ = C₃×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12:3C8	96,55

Non-split extensions G=N.Q with N=C₁₂ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₈ = C₁₂.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₂	48	2	C12.1C8	96,19
C₁₂.₂C₈ = C₃⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₁₂	96	2	C12.2C8	96,1
C₁₂.₃C₈ = C₂×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.3C8	96,18
C₁₂.₄C₈ = C₃×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₁₂	48	2	C12.4C8	96,60

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