Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃⋊C₈

Direct product G=N×Q with N=C₂³ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₂³×C₃⋊C₈		192		C2^3xC3:C8	192,1339

Semidirect products G=N:Q with N=C₂³ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₃⋊C₈) = C₂×A₄⋊C₈	φ: C₃⋊C₈/C₄ → S₃ ⊆ Aut C₂³	48		C2^3:(C3:C8)	192,967
C₂³⋊₂(C₃⋊C₈) = C₂⁴.₃Dic₃	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₂³	48		C2^3:2(C3:C8)	192,84
C₂³⋊₃(C₃⋊C₈) = C₂×C₁₂.₅₅D₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3:3(C3:C8)	192,765

Non-split extensions G=N.Q with N=C₂³ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃⋊C₈) = A₄⋊C₁₆	φ: C₃⋊C₈/C₄ → S₃ ⊆ Aut C₂³	48	3	C2^3.(C3:C8)	192,186
C₂³.₂(C₃⋊C₈) = C₂₄.D₄	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₂³	48	4	C2^3.2(C3:C8)	192,112
C₂³.₃(C₃⋊C₈) = C₂₄.₉₈D₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.3(C3:C8)	192,108
C₂³.₄(C₃⋊C₈) = C₂×C₁₂.C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.4(C3:C8)	192,656
C₂³.₅(C₃⋊C₈) = C₂²×C₃⋊C₁₆	central extension (φ=1)	192		C2^3.5(C3:C8)	192,655

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