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

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

		d	ρ	Label	ID
C₂²×D₁₂		48		C2^2xD12	96,207

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₂² = S₃×D₈	φ: C₂²/C₁ → C₂² ⊆ Out D₁₂	24	4+	D12:1C2^2	96,117
D₁₂⋊₂C₂² = Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₁₂	24	4+	D12:2C2^2	96,121
D₁₂⋊₃C₂² = C₂×D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48		D12:3C2^2	96,110
D₁₂⋊₄C₂² = C₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	24	4+	D12:4C2^2	96,115
D₁₂⋊₅C₂² = C₂×D₄⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48		D12:5C2^2	96,138
D₁₂⋊₆C₂² = D₁₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	24	4	D12:6C2^2	96,139
D₁₂⋊₇C₂² = C₂×S₃×D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	24		D12:7C2^2	96,209
D₁₂⋊₈C₂² = D₄⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	24	4	D12:8C2^2	96,211
D₁₂⋊₉C₂² = C₂×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48		D12:9C2^2	96,213
D₁₂⋊₁₀C₂² = S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	24	4	D12:10C2^2	96,215
D₁₂⋊₁₁C₂² = D₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	24	4+	D12:11C2^2	96,216
D₁₂⋊₁₂C₂² = C₂×C₄○D₁₂	φ: trivial image	48		D12:12C2^2	96,208

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₂² = D₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₁₂	24	4	D12.1C2^2	96,118
D₁₂.₂C₂² = S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₁₂	24	4	D12.2C2^2	96,120
D₁₂.₃C₂² = Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₁₂	48	4	D12.3C2^2	96,123
D₁₂.₄C₂² = Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₁₂	48	4	D12.4C2^2	96,125
D₁₂.₅C₂² = D₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₁₂	48	4+	D12.5C2^2	96,126
D₁₂.₆C₂² = C₂×C₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48		D12.6C2^2	96,109
D₁₂.₇C₂² = C₄○D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48	2	D12.7C2^2	96,111
D₁₂.₈C₂² = C₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48	4-	D12.8C2^2	96,116
D₁₂.₉C₂² = C₂×Q₈⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48		D12.9C2^2	96,148
D₁₂.₁₀C₂² = Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48	4	D12.10C2^2	96,149
D₁₂.₁₁C₂² = D₄⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	24	4+	D12.11C2^2	96,156
D₁₂.₁₂C₂² = Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48	4	D12.12C2^2	96,157
D₁₂.₁₃C₂² = Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₂	48	4	D12.13C2^2	96,214
D₁₂.₁₄C₂² = Q₈○D₁₂	φ: trivial image	48	4-	D12.14C2^2	96,217

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