Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×D₈

Direct product G=N×Q with N=C₂² and Q=C₃×D₈

		d	ρ	Label	ID
C₂×C₆×D₈		96		C2xC6xD8	192,1458

Semidirect products G=N:Q with N=C₂² and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×D₈) = A₄×D₈	φ: C₃×D₈/D₈ → C₃ ⊆ Aut C₂²	24	6+	C2^2:(C3xD8)	192,1014
C₂²⋊₂(C₃×D₈) = C₃×C₈⋊₇D₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₂²	96		C2^2:2(C3xD8)	192,899
C₂²⋊₃(C₃×D₈) = C₃×C₂²⋊D₈	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₂²	48		C2^2:3(C3xD8)	192,880

Non-split extensions G=N.Q with N=C₂² and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃×D₈) = C₃×C₄○D₁₆	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₂²	96	2	C2^2.1(C3xD8)	192,941
C₂².₂(C₃×D₈) = C₃×C₂².SD₁₆	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₂²	48		C2^2.2(C3xD8)	192,133
C₂².₃(C₃×D₈) = C₃×D₈⋊₂C₄	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.3(C3xD8)	192,166
C₂².₄(C₃×D₈) = C₃×C₂².D₈	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₂²	96		C2^2.4(C3xD8)	192,913
C₂².₅(C₃×D₈) = C₃×C₁₆⋊C₂²	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.5(C3xD8)	192,942
C₂².₆(C₃×D₈) = C₃×Q₃₂⋊C₂	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₂²	96	4	C2^2.6(C3xD8)	192,943
C₂².₇(C₃×D₈) = C₃×C₂².₄Q₁₆	central extension (φ=1)	192		C2^2.7(C3xD8)	192,146
C₂².₈(C₃×D₈) = C₃×C₂.D₁₆	central extension (φ=1)	96		C2^2.8(C3xD8)	192,163
C₂².₉(C₃×D₈) = C₃×C₂.Q₃₂	central extension (φ=1)	192		C2^2.9(C3xD8)	192,164
C₂².₁₀(C₃×D₈) = C₃×C₁₆⋊₃C₄	central extension (φ=1)	192		C2^2.10(C3xD8)	192,172
C₂².₁₁(C₃×D₈) = C₃×C₁₆⋊₄C₄	central extension (φ=1)	192		C2^2.11(C3xD8)	192,173
C₂².₁₂(C₃×D₈) = C₆×D₄⋊C₄	central extension (φ=1)	96		C2^2.12(C3xD8)	192,847
C₂².₁₃(C₃×D₈) = C₆×C₂.D₈	central extension (φ=1)	192		C2^2.13(C3xD8)	192,859
C₂².₁₄(C₃×D₈) = C₆×D₁₆	central extension (φ=1)	96		C2^2.14(C3xD8)	192,938
C₂².₁₅(C₃×D₈) = C₆×SD₃₂	central extension (φ=1)	96		C2^2.15(C3xD8)	192,939
C₂².₁₆(C₃×D₈) = C₆×Q₃₂	central extension (φ=1)	192		C2^2.16(C3xD8)	192,940

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