Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆²:₅C₄

Direct product G=NxQ with N=C₃ and Q=C₆²:₅C₄

		d	ρ	Label	ID
C₃xC₆²:₅C₄		72		C3xC6^2:5C4	432,495

Semidirect products G=N:Q with N=C₃ and Q=C₆²:₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆²:₅C₄) = C₆².₇₇D₆	φ: C₆²:₅C₄/C₂xC₃:Dic₃ → C₂ ⊆ Aut C₃	144		C3:1(C6^2:5C4)	432,449
C₃:₂(C₆²:₅C₄) = C₆³.C₂	φ: C₆²:₅C₄/C₂xC₆² → C₂ ⊆ Aut C₃	216		C3:2(C6^2:5C4)	432,511

Non-split extensions G=N.Q with N=C₃ and Q=C₆²:₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆²:₅C₄) = C₆².₁₂₇D₆	φ: C₆²:₅C₄/C₂xC₆² → C₂ ⊆ Aut C₃	216		C3.(C6^2:5C4)	432,198
C₃.₂(C₆²:₅C₄) = C₆²:₄Dic₃	central stem extension (φ=1)	72		C3.2(C6^2:5C4)	432,199

Extensions 1→N→G→Q→1 with N=C3 and Q=C62:5C4