Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²⋊C₁₂

Direct product G=N×Q with N=C₂² and Q=C₃²⋊C₁₂

		d	ρ	Label	ID
C₂²×C₃²⋊C₁₂		144		C2^2xC3^2:C12	432,376

Semidirect products G=N:Q with N=C₂² and Q=C₃²⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²⋊C₁₂) = C₆²⋊₅Dic₃	φ: C₃²⋊C₁₂/C₃×C₆ → S₃ ⊆ Aut C₂²	36	6-	C2^2:(C3^2:C12)	432,251
C₂²⋊₂(C₃²⋊C₁₂) = C₆²⋊₄C₁₂	φ: C₃²⋊C₁₂/C₃⋊Dic₃ → C₃ ⊆ Aut C₂²	36	6-	C2^2:2(C3^2:C12)	432,272
C₂²⋊₃(C₃²⋊C₁₂) = C₆²⋊₃C₁₂	φ: C₃²⋊C₁₂/C₂×He₃ → C₂ ⊆ Aut C₂²	72		C2^2:3(C3^2:C12)	432,166

Non-split extensions G=N.Q with N=C₂² and Q=C₃²⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²⋊C₁₂) = He₃⋊₇M₄(2)	φ: C₃²⋊C₁₂/C₂×He₃ → C₂ ⊆ Aut C₂²	72	6	C2^2.(C3^2:C12)	432,137
C₂².₂(C₃²⋊C₁₂) = C₂×He₃⋊₃C₈	central extension (φ=1)	144		C2^2.2(C3^2:C12)	432,136

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Extensions 1→N→G→Q→1 with N=C22 and Q=C32⋊C12