Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃³:₅C₄

Direct product G=NxQ with N=C₃ and Q=C₃³:₅C₄

		d	ρ	Label	ID
C₃xC₃³:₅C₄		108		C3xC3^3:5C4	324,157

Semidirect products G=N:Q with N=C₃ and Q=C₃³:₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃³:₅C₄) = C₃⁴:₈C₄	φ: C₃³:₅C₄/C₃²xC₆ → C₂ ⊆ Aut C₃	324		C3:(C3^3:5C4)	324,158

Non-split extensions G=N.Q with N=C₃ and Q=C₃³:₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃³:₅C₄) = C₃²:₅Dic₉	φ: C₃³:₅C₄/C₃²xC₆ → C₂ ⊆ Aut C₃	324		C3.(C3^3:5C4)	324,103
C₃.₂(C₃³:₅C₄) = He₃:₆Dic₃	central stem extension (φ=1)	36	6	C3.2(C3^3:5C4)	324,104

Extensions 1→N→G→Q→1 with N=C3 and Q=C33:5C4