Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃⋊Dic₃

Direct product G=N×Q with N=C₂² and Q=C₃⋊Dic₃

		d	ρ	Label	ID
C₂²×C₃⋊Dic₃		144		C2^2xC3:Dic3	144,176

Semidirect products G=N:Q with N=C₂² and Q=C₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃⋊Dic₃) = C₆.₇S₄	φ: C₃⋊Dic₃/C₆ → S₃ ⊆ Aut C₂²	36	6-	C2^2:(C3:Dic3)	144,126
C₂²⋊₂(C₃⋊Dic₃) = C₆²⋊₅C₄	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₂²	72		C2^2:2(C3:Dic3)	144,100

Non-split extensions G=N.Q with N=C₂² and Q=C₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃⋊Dic₃) = C₁₂.₅₈D₆	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₂²	72		C2^2.(C3:Dic3)	144,91
C₂².₂(C₃⋊Dic₃) = C₂×C₃²⋊₄C₈	central extension (φ=1)	144		C2^2.2(C3:Dic3)	144,90

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3⋊Dic3