Extensions 1→N→G→Q→1 with N=C₆.D₆ and Q=C₂²

Direct product G=N×Q with N=C₆.D₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₆.D₆		48		C2^2xC6.D6	288,972

Semidirect products G=N:Q with N=C₆.D₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆⋊₁C₂² = D₆≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	12	4+	C6.D6:1C2^2	288,889
C₆.D₆⋊₂C₂² = D₁₂⋊₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	24	4+	C6.D6:2C2^2	288,956
C₆.D₆⋊₃C₂² = D₁₂⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	24	8+	C6.D6:3C2^2	288,962
C₆.D₆⋊₄C₂² = C₃²⋊2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	24	4	C6.D6:4C2^2	288,978
C₆.D₆⋊₅C₂² = C₂×D₆.₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48		C6.D6:5C2^2	288,949
C₆.D₆⋊₆C₂² = S₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48	4	C6.D6:6C2^2	288,953
C₆.D₆⋊₇C₂² = S₃²×D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24	8+	C6.D6:7C2^2	288,958
C₆.D₆⋊₈C₂² = S₃×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48	8-	C6.D6:8C2^2	288,959
C₆.D₆⋊₉C₂² = Dic₆⋊₁₂D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24	8+	C6.D6:9C2^2	288,960
C₆.D₆⋊₁₀C₂² = S₃×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48	8+	C6.D6:10C2^2	288,966
C₆.D₆⋊₁₁C₂² = C₂×D₆.₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48		C6.D6:11C2^2	288,970
C₆.D₆⋊₁₂C₂² = C₂×Dic₃⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24		C6.D6:12C2^2	288,977
C₆.D₆⋊₁₃C₂² = C₂×S₃²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24		C6.D6:13C2^2	288,880
C₆.D₆⋊₁₄C₂² = S₃²×C₂×C₄	φ: trivial image	48		C6.D6:14C2^2	288,950

Non-split extensions G=N.Q with N=C₆.D₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆.₁C₂² = S₃²⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	24	4	C6.D6.1C2^2	288,868
C₆.D₆.₂C₂² = C₄.₄S₃≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	24	8+	C6.D6.2C2^2	288,869
C₆.D₆.₃C₂² = C₃²⋊C₄⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	48	8-	C6.D6.3C2^2	288,870
C₆.D₆.₄C₂² = C₆²⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	24	8+	C6.D6.4C2^2	288,890
C₆.D₆.₅C₂² = D₁₂.₃₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	48	4	C6.D6.5C2^2	288,945
C₆.D₆.₆C₂² = Dic₆.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	48	8-	C6.D6.6C2^2	288,957
C₆.D₆.₇C₂² = Dic₆.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆.D₆	48	8+	C6.D6.7C2^2	288,964
C₆.D₆.₈C₂² = C₂×Dic₃.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48		C6.D6.8C2^2	288,947
C₆.D₆.₉C₂² = D₁₂⋊₂₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6.9C2^2	288,954
C₆.D₆.₁₀C₂² = S₃²×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48	8-	C6.D6.10C2^2	288,965
C₆.D₆.₁₁C₂² = C₄×S₃≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6.11C2^2	288,877
C₆.D₆.₁₂C₂² = S₃²⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6.12C2^2	288,878
C₆.D₆.₁₃C₂² = C₆².₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6.13C2^2	288,881
C₆.D₆.₁₄C₂² = C₂×C₃⋊S₃.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆.D₆	48		C6.D6.14C2^2	288,882
C₆.D₆.₁₅C₂² = D₁₂⋊₁₅D₆	φ: trivial image	48	8-	C6.D6.15C2^2	288,967

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