Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃²:C₄

Direct product G=NxQ with N=C₆ and Q=C₃²:C₄

		d	ρ	Label	ID
C₆xC₃²:C₄		24	4	C6xC3^2:C4	216,168

Semidirect products G=N:Q with N=C₆ and Q=C₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃²:C₄) = C₂xC₃³:C₄	φ: C₃²:C₄/C₃:S₃ → C₂ ⊆ Aut C₆	24	4	C6:(C3^2:C4)	216,169

Non-split extensions G=N.Q with N=C₆ and Q=C₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃²:C₄) = C₃³:₄C₈	φ: C₃²:C₄/C₃:S₃ → C₂ ⊆ Aut C₆	24	4	C6.(C3^2:C4)	216,118
C₆.₂(C₃²:C₄) = He₃:₂C₈	central extension (φ=1)	72	3	C6.2(C3^2:C4)	216,25
C₆.₃(C₃²:C₄) = C₂xHe₃:C₄	central extension (φ=1)	36	3	C6.3(C3^2:C4)	216,100
C₆.₄(C₃²:C₄) = C₃xC₃²:₂C₈	central extension (φ=1)	24	4	C6.4(C3^2:C4)	216,117

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