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

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

		d	ρ	Label	ID
Dic₃×C₃⋊Dic₃		144		Dic3xC3:Dic3	432,448

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊₁Dic₃ = He₃⋊C₄²	φ: Dic₃/C₂ → S₃ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:1Dic3	432,94
C₃⋊Dic₃⋊₂Dic₃ = C₆².D₆	φ: Dic₃/C₂ → S₃ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:2Dic3	432,95
C₃⋊Dic₃⋊₃Dic₃ = C₆².₈₂D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:3Dic3	432,454
C₃⋊Dic₃⋊₄Dic₃ = C₃³⋊₆C₄²	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:4Dic3	432,460
C₃⋊Dic₃⋊₅Dic₃ = C₆².₈₅D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:5Dic3	432,462
C₃⋊Dic₃⋊₆Dic₃ = C₄×C₃³⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3:6Dic3	432,637
C₃⋊Dic₃⋊₇Dic₃ = C₃³⋊₉(C₄⋊C₄)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3:7Dic3	432,638

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.₁Dic₃ = C₃²⋊C₆⋊C₈	φ: Dic₃/C₂ → S₃ ⊆ Out C₃⋊Dic₃	72	6	C3:Dic3.1Dic3	432,76
C₃⋊Dic₃.₂Dic₃ = He₃⋊M₄(2)	φ: Dic₃/C₂ → S₃ ⊆ Out C₃⋊Dic₃	72	6	C3:Dic3.2Dic3	432,77
C₃⋊Dic₃.₃Dic₃ = C₆.F₉	φ: Dic₃/C₃ → C₄ ⊆ Out C₃⋊Dic₃	48	8	C3:Dic3.3Dic3	432,566
C₃⋊Dic₃.₄Dic₃ = C₃³⋊₈M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.4Dic3	432,434
C₃⋊Dic₃.₅Dic₃ = C₁₂.₉₃S₃²	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.5Dic3	432,455
C₃⋊Dic₃.₆Dic₃ = C₃³⋊₁₀M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.6Dic3	432,456
C₃⋊Dic₃.₇Dic₃ = C₂×C₃³⋊₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.7Dic3	432,639
C₃⋊Dic₃.₈Dic₃ = C₃³⋊₁₂M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.8Dic3	432,640
C₃⋊Dic₃.₉Dic₃ = C₃⋊S₃×C₃⋊C₈	φ: trivial image	144		C3:Dic3.9Dic3	432,431

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