Extensions 1→N→G→Q→1 with N=C₃²⋊₂C₈ and Q=C₂²

Direct product G=N×Q with N=C₃²⋊₂C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃²⋊₂C₈		96		C2^2xC3^2:2C8	288,939

Semidirect products G=N:Q with N=C₃²⋊₂C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈⋊₁C₂² = C₃²⋊D₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:1C2^2	288,872
C₃²⋊₂C₈⋊₂C₂² = C₆².₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:2C2^2	288,884
C₃²⋊₂C₈⋊₃C₂² = C₃⋊S₃⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	24	8+	C3^2:2C8:3C2^2	288,873
C₃²⋊₂C₈⋊₄C₂² = C₂×C₃²⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48		C3^2:2C8:4C2^2	288,883
C₃²⋊₂C₈⋊₅C₂² = C₃⋊S₃⋊₂SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	24	8+	C3^2:2C8:5C2^2	288,875
C₃²⋊₂C₈⋊₆C₂² = C₂×C₃²⋊₂SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48		C3^2:2C8:6C2^2	288,886
C₃²⋊₂C₈⋊₇C₂² = C₂×C₃²⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48		C3^2:2C8:7C2^2	288,930
C₃²⋊₂C₈⋊₈C₂² = C₃⋊S₃⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:8C2^2	288,931
C₃²⋊₂C₈⋊₉C₂² = C₂×C₆².C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48		C3^2:2C8:9C2^2	288,940
C₃²⋊₂C₈⋊₁₀C₂² = C₂×C₃⋊S₃⋊₃C₈	φ: trivial image	48		C3^2:2C8:10C2^2	288,929

Non-split extensions G=N.Q with N=C₃²⋊₂C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈.₁C₂² = C₃²⋊Q₁₆⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₂C₈	48	4	C3^2:2C8.1C2^2	288,874
C₃²⋊₂C₈.₂C₂² = C₆².₁₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊₂C₈	48	4-	C3^2:2C8.2C2^2	288,887
C₃²⋊₂C₈.₃C₂² = C₄.₃F₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8.3C2^2	288,861
C₃²⋊₂C₈.₄C₂² = C₄.F₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8.4C2^2	288,862
C₃²⋊₂C₈.₅C₂² = C₂×C₂.F₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	96		C3^2:2C8.5C2^2	288,865
C₃²⋊₂C₈.₆C₂² = C₂².F₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.6C2^2	288,866
C₃²⋊₂C₈.₇C₂² = C₃⋊S₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.7C2^2	288,876
C₃²⋊₂C₈.₈C₂² = C₂×C₃²⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	96		C3^2:2C8.8C2^2	288,888
C₃²⋊₂C₈.₉C₂² = C₃²⋊D₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	4	C3^2:2C8.9C2^2	288,871
C₃²⋊₂C₈.₁₀C₂² = C₆².₁₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.10C2^2	288,885
C₃²⋊₂C₈.₁₁C₂² = C₆².(C₂×C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.11C2^2	288,935
C₃²⋊₂C₈.₁₂C₂² = C₁₂⋊S₃.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8+	C3^2:2C8.12C2^2	288,937

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