Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=C₁₂

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×C₃⋊Dic₃		144		C12xC3:Dic3	432,487

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊C₁₂ = C₆².₁₉D₆	φ: C₁₂/C₂ → C₆ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:C12	432,139
C₃⋊Dic₃⋊₂C₁₂ = C₄×C₃²⋊C₁₂	φ: C₁₂/C₄ → C₃ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:2C12	432,138
C₃⋊Dic₃⋊₃C₁₂ = C₃×Dic₃²	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:3C12	432,425
C₃⋊Dic₃⋊₄C₁₂ = C₃×C₆².C₂²	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:4C12	432,429
C₃⋊Dic₃⋊₅C₁₂ = C₃×C₆.Dic₆	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:5C12	432,488
C₃⋊Dic₃⋊₆C₁₂ = C₁₂×C₃²⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3:6C12	432,630
C₃⋊Dic₃⋊₇C₁₂ = C₃×C₄⋊(C₃²⋊C₄)	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3:7C12	432,631

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.C₁₂ = He₃⋊₅M₄(2)	φ: C₁₂/C₂ → C₆ ⊆ Out C₃⋊Dic₃	72	6	C3:Dic3.C12	432,116
C₃⋊Dic₃.₂C₁₂ = C₃×C₂.F₉	φ: C₁₂/C₃ → C₄ ⊆ Out C₃⋊Dic₃	48	8	C3:Dic3.2C12	432,565
C₃⋊Dic₃.₃C₁₂ = C₈×C₃²⋊C₆	φ: C₁₂/C₄ → C₃ ⊆ Out C₃⋊Dic₃	72	6	C3:Dic3.3C12	432,115
C₃⋊Dic₃.₄C₁₂ = C₃×C₁₂.₂₉D₆	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.4C12	432,415
C₃⋊Dic₃.₅C₁₂ = C₃×C₁₂.₃₁D₆	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.5C12	432,417
C₃⋊Dic₃.₆C₁₂ = C₃×C₂₄⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.6C12	432,481
C₃⋊Dic₃.₇C₁₂ = C₆×C₃²⋊₂C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.7C12	432,632
C₃⋊Dic₃.₈C₁₂ = C₃×C₆².C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.8C12	432,633
C₃⋊Dic₃.₉C₁₂ = C₃⋊S₃×C₂₄	φ: trivial image	144		C3:Dic3.9C12	432,480

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