Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²:₄Q₈

Direct product G=NxQ with N=C₃ and Q=C₃²:₄Q₈

		d	ρ	Label	ID
C₃xC₃²:₄Q₈		72		C3xC3^2:4Q8	216,140

Semidirect products G=N:Q with N=C₃ and Q=C₃²:₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃²:₄Q₈) = C₃³:₄Q₈	φ: C₃²:₄Q₈/C₃:Dic₃ → C₂ ⊆ Aut C₃	72		C3:1(C3^2:4Q8)	216,130
C₃:₂(C₃²:₄Q₈) = C₃³:₈Q₈	φ: C₃²:₄Q₈/C₃xC₁₂ → C₂ ⊆ Aut C₃	216		C3:2(C3^2:4Q8)	216,145

Non-split extensions G=N.Q with N=C₃ and Q=C₃²:₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²:₄Q₈) = C₁₂.D₉	φ: C₃²:₄Q₈/C₃xC₁₂ → C₂ ⊆ Aut C₃	216		C3.(C3^2:4Q8)	216,63
C₃.₂(C₃²:₄Q₈) = He₃:₄Q₈	central stem extension (φ=1)	72	6	C3.2(C3^2:4Q8)	216,66

Extensions 1→N→G→Q→1 with N=C3 and Q=C32:4Q8