Extensions 1→N→G→Q→1 with N=C₃⋊D₁₂ and Q=C₂²

Direct product G=N×Q with N=C₃⋊D₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃⋊D₁₂		48		C2^2xC3:D12	288,974

Semidirect products G=N:Q with N=C₃⋊D₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₁₂⋊₁C₂² = D₁₂⋊₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	48	4	C3:D12:1C2^2	288,955
C₃⋊D₁₂⋊₂C₂² = D₁₂⋊₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	24	4+	C3:D12:2C2^2	288,956
C₃⋊D₁₂⋊₃C₂² = S₃²×D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	24	8+	C3:D12:3C2^2	288,958
C₃⋊D₁₂⋊₄C₂² = S₃×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	48	8-	C3:D12:4C2^2	288,959
C₃⋊D₁₂⋊₅C₂² = Dic₆⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	24	8+	C3:D12:5C2^2	288,960
C₃⋊D₁₂⋊₆C₂² = S₃×Q₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	48	8+	C3:D12:6C2^2	288,966
C₃⋊D₁₂⋊₇C₂² = C₃²⋊2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	24	4	C3:D12:7C2^2	288,978
C₃⋊D₁₂⋊₈C₂² = C₂×S₃×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48		C3:D12:8C2^2	288,951
C₃⋊D₁₂⋊₉C₂² = D₁₂⋊₁₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48	8+	C3:D12:9C2^2	288,968
C₃⋊D₁₂⋊₁₀C₂² = C₂×D₆.₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48		C3:D12:10C2^2	288,970
C₃⋊D₁₂⋊₁₁C₂² = C₂×D₁₂⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48		C3:D12:11C2^2	288,944
C₃⋊D₁₂⋊₁₂C₂² = C₂×D₆.₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48		C3:D12:12C2^2	288,949
C₃⋊D₁₂⋊₁₃C₂² = S₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48	4	C3:D12:13C2^2	288,953
C₃⋊D₁₂⋊₁₄C₂² = D₁₂⋊₂₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	24	4	C3:D12:14C2^2	288,954
C₃⋊D₁₂⋊₁₅C₂² = D₁₂⋊₁₂D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48	8-	C3:D12:15C2^2	288,961
C₃⋊D₁₂⋊₁₆C₂² = D₁₂⋊₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	24	8+	C3:D12:16C2^2	288,962
C₃⋊D₁₂⋊₁₇C₂² = C₂×S₃×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48		C3:D12:17C2^2	288,976
C₃⋊D₁₂⋊₁₈C₂² = C₂×Dic₃⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	24		C3:D12:18C2^2	288,977
C₃⋊D₁₂⋊₁₉C₂² = C₂×D₆.D₆	φ: trivial image	48		C3:D12:19C2^2	288,948

Non-split extensions G=N.Q with N=C₃⋊D₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₁₂.C₂² = D₁₂.₃₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊D₁₂	48	4	C3:D12.C2^2	288,945
C₃⋊D₁₂.₂C₂² = Dic₆.₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48	8-	C3:D12.2C2^2	288,957
C₃⋊D₁₂.₃C₂² = D₁₂.₂₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48	8-	C3:D12.3C2^2	288,963
C₃⋊D₁₂.₄C₂² = Dic₆.₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊D₁₂	48	8+	C3:D12.4C2^2	288,964

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