Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃³:₅C₄

Direct product G=NxQ with N=C₂² and Q=C₃³:₅C₄

		d	ρ	Label	ID
C₂²xC₃³:₅C₄		432		C2^2xC3^3:5C4	432,728

Semidirect products G=N:Q with N=C₂² and Q=C₃³:₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₃³:₅C₄) = C₆²:₁₀Dic₃	φ: C₃³:₅C₄/C₃xC₆ → S₃ ⊆ Aut C₂²	108		C2^2:(C3^3:5C4)	432,621
C₂²:₂(C₃³:₅C₄) = C₆³.C₂	φ: C₃³:₅C₄/C₃²xC₆ → C₂ ⊆ Aut C₂²	216		C2^2:2(C3^3:5C4)	432,511

Non-split extensions G=N.Q with N=C₂² and Q=C₃³:₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃³:₅C₄) = C₃³:₁₈M₄(2)	φ: C₃³:₅C₄/C₃²xC₆ → C₂ ⊆ Aut C₂²	216		C2^2.(C3^3:5C4)	432,502
C₂².₂(C₃³:₅C₄) = C₂xC₃³:₇C₈	central extension (φ=1)	432		C2^2.2(C3^3:5C4)	432,501

Extensions 1→N→G→Q→1 with N=C22 and Q=C33:5C4