Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₂²

Direct product G=N×Q with N=Dic₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₆		96		C2^2xDic6	96,205

Semidirect products G=N:Q with N=Dic₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₂² = D₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₆	24	4	Dic6:1C2^2	96,118
Dic₆⋊₂C₂² = S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₆	24	4	Dic6:2C2^2	96,120
Dic₆⋊₃C₂² = C₂×C₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48		Dic6:3C2^2	96,109
Dic₆⋊₄C₂² = C₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	24	4+	Dic6:4C2^2	96,115
Dic₆⋊₅C₂² = D₁₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	24	4	Dic6:5C2^2	96,139
Dic₆⋊₆C₂² = C₂×D₄.S₃	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48		Dic6:6C2^2	96,140
Dic₆⋊₇C₂² = C₂×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48		Dic6:7C2^2	96,210
Dic₆⋊₈C₂² = D₄⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	24	4	Dic6:8C2^2	96,211
Dic₆⋊₉C₂² = C₂×S₃×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48		Dic6:9C2^2	96,212
Dic₆⋊₁₀C₂² = S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	24	4	Dic6:10C2^2	96,215
Dic₆⋊₁₁C₂² = C₂×C₄○D₁₂	φ: trivial image	48		Dic6:11C2^2	96,208
Dic₆⋊₁₂C₂² = D₄○D₁₂	φ: trivial image	24	4+	Dic6:12C2^2	96,216

Non-split extensions G=N.Q with N=Dic₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₂² = D₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₆	48	4-	Dic6.1C2^2	96,119
Dic₆.₂C₂² = D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₆	48	4-	Dic6.2C2^2	96,122
Dic₆.₃C₂² = Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₆	48	4	Dic6.3C2^2	96,123
Dic₆.₄C₂² = S₃×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₆	48	4-	Dic6.4C2^2	96,124
Dic₆.₅C₂² = Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₆	48	4	Dic6.5C2^2	96,125
Dic₆.₆C₂² = C₄○D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48	2	Dic6.6C2^2	96,111
Dic₆.₇C₂² = C₂×Dic₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	96		Dic6.7C2^2	96,112
Dic₆.₈C₂² = C₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48	4-	Dic6.8C2^2	96,116
Dic₆.₉C₂² = Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48	4	Dic6.9C2^2	96,149
Dic₆.₁₀C₂² = C₂×C₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	96		Dic6.10C2^2	96,150
Dic₆.₁₁C₂² = Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48	4	Dic6.11C2^2	96,157
Dic₆.₁₂C₂² = Q₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48	4-	Dic6.12C2^2	96,158
Dic₆.₁₃C₂² = Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48	4	Dic6.13C2^2	96,214
Dic₆.₁₄C₂² = Q₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₆	48	4-	Dic6.14C2^2	96,217

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