Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃⋊C₈

Direct product G=N×Q with N=C₂² and Q=C₃⋊C₈

		d	ρ	Label	ID
C₂²×C₃⋊C₈		96		C2^2xC3:C8	96,127

Semidirect products G=N:Q with N=C₂² and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃⋊C₈) = A₄⋊C₈	φ: C₃⋊C₈/C₄ → S₃ ⊆ Aut C₂²	24	3	C2^2:(C3:C8)	96,65
C₂²⋊₂(C₃⋊C₈) = C₁₂.₅₅D₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:2(C3:C8)	96,37

Non-split extensions G=N.Q with N=C₂² and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃⋊C₈) = C₁₂.C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.(C3:C8)	96,19
C₂².₂(C₃⋊C₈) = C₂×C₃⋊C₁₆	central extension (φ=1)	96		C2^2.2(C3:C8)	96,18

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3⋊C8