Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃³:C₂

Direct product G=NxQ with N=C₂³ and Q=C₃³:C₂

		d	ρ	Label	ID
C₂³xC₃³:C₂		216		C2^3xC3^3:C2	432,774

Semidirect products G=N:Q with N=C₂³ and Q=C₃³:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₃³:C₂) = C₂xC₃²:₄S₄	φ: C₃³:C₂/C₃² → S₃ ⊆ Aut C₂³	54		C2^3:(C3^3:C2)	432,762
C₂³:₂(C₃³:C₂) = C₂xC₃³:₁₅D₄	φ: C₃³:C₂/C₃³ → C₂ ⊆ Aut C₂³	216		C2^3:2(C3^3:C2)	432,729

Non-split extensions G=N.Q with N=C₂³ and Q=C₃³:C₂

extension	φ:Q→Aut N	d	Label	ID
C₂³.(C₃³:C₂) = C₆²:₁₀Dic₃	φ: C₃³:C₂/C₃² → S₃ ⊆ Aut C₂³	108	C2^3.(C3^3:C2)	432,621
C₂³.₂(C₃³:C₂) = C₆³.C₂	φ: C₃³:C₂/C₃³ → C₂ ⊆ Aut C₂³	216	C2^3.2(C3^3:C2)	432,511
C₂³.₃(C₃³:C₂) = C₂²xC₃³:₅C₄	central extension (φ=1)	432	C2^3.3(C3^3:C2)	432,728

Extensions 1→N→G→Q→1 with N=C23 and Q=C33:C2