Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆×Dic₃

Direct product G=N×Q with N=C₂² and Q=C₆×Dic₃

		d	ρ	Label	ID
Dic₃×C₂²×C₆		96		Dic3xC2^2xC6	288,1001

Semidirect products G=N:Q with N=C₂² and Q=C₆×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₆×Dic₃) = C₆×A₄⋊C₄	φ: C₆×Dic₃/C₂×C₆ → S₃ ⊆ Aut C₂²	72		C2^2:(C6xDic3)	288,905
C₂²⋊₂(C₆×Dic₃) = C₂×Dic₃×A₄	φ: C₆×Dic₃/C₂×Dic₃ → C₃ ⊆ Aut C₂²	72		C2^2:2(C6xDic3)	288,927
C₂²⋊₃(C₆×Dic₃) = C₃×D₄×Dic₃	φ: C₆×Dic₃/C₃×Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2:3(C6xDic3)	288,705
C₂²⋊₄(C₆×Dic₃) = C₆×C₆.D₄	φ: C₆×Dic₃/C₆² → C₂ ⊆ Aut C₂²	48		C2^2:4(C6xDic3)	288,723

Non-split extensions G=N.Q with N=C₂² and Q=C₆×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₆×Dic₃) = C₃×D₄.Dic₃	φ: C₆×Dic₃/C₃×Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1(C6xDic3)	288,719
C₂².₂(C₆×Dic₃) = C₃×C₁₂.D₄	φ: C₆×Dic₃/C₆² → C₂ ⊆ Aut C₂²	24	4	C2^2.2(C6xDic3)	288,267
C₂².₃(C₆×Dic₃) = C₃×C₂³.₇D₆	φ: C₆×Dic₃/C₆² → C₂ ⊆ Aut C₂²	24	4	C2^2.3(C6xDic3)	288,268
C₂².₄(C₆×Dic₃) = C₃×C₁₂.₁₀D₄	φ: C₆×Dic₃/C₆² → C₂ ⊆ Aut C₂²	48	4	C2^2.4(C6xDic3)	288,270
C₂².₅(C₆×Dic₃) = C₆×C₄.Dic₃	φ: C₆×Dic₃/C₆² → C₂ ⊆ Aut C₂²	48		C2^2.5(C6xDic3)	288,692
C₂².₆(C₆×Dic₃) = C₃×C₂³.₂₆D₆	φ: C₆×Dic₃/C₆² → C₂ ⊆ Aut C₂²	48		C2^2.6(C6xDic3)	288,697
C₂².₇(C₆×Dic₃) = C₁₂×C₃⋊C₈	central extension (φ=1)	96		C2^2.7(C6xDic3)	288,236
C₂².₈(C₆×Dic₃) = C₃×C₄².S₃	central extension (φ=1)	96		C2^2.8(C6xDic3)	288,237
C₂².₉(C₆×Dic₃) = C₃×C₁₂⋊C₈	central extension (φ=1)	96		C2^2.9(C6xDic3)	288,238
C₂².₁₀(C₆×Dic₃) = C₃×C₁₂.₅₅D₄	central extension (φ=1)	48		C2^2.10(C6xDic3)	288,264
C₂².₁₁(C₆×Dic₃) = C₃×C₆.C₄²	central extension (φ=1)	96		C2^2.11(C6xDic3)	288,265
C₂².₁₂(C₆×Dic₃) = C₂×C₆×C₃⋊C₈	central extension (φ=1)	96		C2^2.12(C6xDic3)	288,691
C₂².₁₃(C₆×Dic₃) = Dic₃×C₂×C₁₂	central extension (φ=1)	96		C2^2.13(C6xDic3)	288,693
C₂².₁₄(C₆×Dic₃) = C₆×C₄⋊Dic₃	central extension (φ=1)	96		C2^2.14(C6xDic3)	288,696

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