Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃³⋊C₄

Direct product G=N×Q with N=C₂² and Q=C₃³⋊C₄

		d	ρ	Label	ID
C₂²×C₃³⋊C₄		48		C2^2xC3^3:C4	432,766

Semidirect products G=N:Q with N=C₂² and Q=C₃³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃³⋊C₄) = C₆²⋊Dic₃	φ: C₃³⋊C₄/C₃⋊S₃ → S₃ ⊆ Aut C₂²	24	12+	C2^2:(C3^3:C4)	432,743
C₂²⋊₂(C₃³⋊C₄) = C₆²⋊₁₁Dic₃	φ: C₃³⋊C₄/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2:2(C3^3:C4)	432,641

Non-split extensions G=N.Q with N=C₂² and Q=C₃³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃³⋊C₄) = C₃³⋊₁₂M₄(2)	φ: C₃³⋊C₄/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2.(C3^3:C4)	432,640
C₂².₂(C₃³⋊C₄) = C₂×C₃³⋊₄C₈	central extension (φ=1)	48		C2^2.2(C3^3:C4)	432,639

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Extensions 1→N→G→Q→1 with N=C22 and Q=C33⋊C4