Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²:₅D₈

Direct product G=NxQ with N=C₃ and Q=C₃²:₅D₈

		d	ρ	Label	ID
C₃xC₃²:₅D₈		144		C3xC3^2:5D8	432,483

Semidirect products G=N:Q with N=C₃ and Q=C₃²:₅D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃²:₅D₈) = C₃³:₁₂D₈	φ: C₃²:₅D₈/C₃xC₂₄ → C₂ ⊆ Aut C₃	216		C3:1(C3^2:5D8)	432,499
C₃:₂(C₃²:₅D₈) = C₃³:₈D₈	φ: C₃²:₅D₈/C₁₂:S₃ → C₂ ⊆ Aut C₃	72		C3:2(C3^2:5D8)	432,438

Non-split extensions G=N.Q with N=C₃ and Q=C₃²:₅D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²:₅D₈) = C₇₂:₁S₃	φ: C₃²:₅D₈/C₃xC₂₄ → C₂ ⊆ Aut C₃	216		C3.(C3^2:5D8)	432,172
C₃.₂(C₃²:₅D₈) = He₃:₅D₈	central stem extension (φ=1)	72	6	C3.2(C3^2:5D8)	432,176

Extensions 1→N→G→Q→1 with N=C3 and Q=C32:5D8