Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃⋊C₈

Direct product G=N×Q with N=C₄ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₄×C₃⋊C₈		96		C4xC3:C8	96,9

Semidirect products G=N:Q with N=C₄ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃⋊C₈) = C₁₂⋊C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₄	96		C4:(C3:C8)	96,11

Non-split extensions G=N.Q with N=C₄ and Q=C₃⋊C₈

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

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3⋊C8