Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃×Q₈

Direct product G=N×Q with N=C₂³ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₂²×C₆		192		Q8xC2^2xC6	192,1532

Semidirect products G=N:Q with N=C₂³ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁(C₃×Q₈) = C₃×C₂³⋊Q₈	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂³	96		C2^3:1(C3xQ8)	192,826
C₂³⋊₂(C₃×Q₈) = C₃×C₂³⋊₂Q₈	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂³	48		C2^3:2(C3xQ8)	192,1432
C₂³⋊₃(C₃×Q₈) = C₂×Q₈×A₄	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₂³	48		C2^3:3(C3xQ8)	192,1499
C₂³⋊₄(C₃×Q₈) = C₆×C₂²⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3:4(C3xQ8)	192,1412

Non-split extensions G=N.Q with N=C₂³ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₃×Q₈) = C₃×C₄.₁₀C₄²	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.1(C3xQ8)	192,144
C₂³.₂(C₃×Q₈) = C₃×C₂³.₉D₄	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂³	48		C2^3.2(C3xQ8)	192,148
C₂³.₃(C₃×Q₈) = C₃×C₂³.Q₈	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.3(C3xQ8)	192,829
C₂³.₄(C₃×Q₈) = C₃×C₂³.₄Q₈	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.4(C3xQ8)	192,832
C₂³.₅(C₃×Q₈) = C₃×M₄(2).C₄	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.5(C3xQ8)	192,863
C₂³.₆(C₃×Q₈) = A₄×C₄⋊C₄	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₂³	48		C2^3.6(C3xQ8)	192,995
C₂³.₇(C₃×Q₈) = C₃×C₄.C₄²	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.7(C3xQ8)	192,147
C₂³.₈(C₃×Q₈) = C₃×C₂³.₇Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.8(C3xQ8)	192,813
C₂³.₉(C₃×Q₈) = C₃×C₂³.₈Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.9(C3xQ8)	192,818
C₂³.₁₀(C₃×Q₈) = C₆×C₈.C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.10(C3xQ8)	192,862
C₂³.₁₁(C₃×Q₈) = C₆×C₂.C₄²	central extension (φ=1)	192		C2^3.11(C3xQ8)	192,808
C₂³.₁₂(C₃×Q₈) = C₂×C₆×C₄⋊C₄	central extension (φ=1)	192		C2^3.12(C3xQ8)	192,1402

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