Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×Q₈

Direct product G=N×Q with N=C₂² and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₂×C₆		96		Q8xC2xC6	96,222

Semidirect products G=N:Q with N=C₂² and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×Q₈) = Q₈×A₄	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₂²	24	6-	C2^2:(C3xQ8)	96,199
C₂²⋊₂(C₃×Q₈) = C₃×C₂²⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:2(C3xQ8)	96,169

Non-split extensions G=N.Q with N=C₂² and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×Q₈) = C₃×C₈.C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.(C3xQ8)	96,58
C₂².₂(C₃×Q₈) = C₃×C₂.C₄²	central extension (φ=1)	96		C2^2.2(C3xQ8)	96,45
C₂².₃(C₃×Q₈) = C₆×C₄⋊C₄	central extension (φ=1)	96		C2^2.3(C3xQ8)	96,163

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×Q8