Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂xS₄

Direct product G=NxQ with N=C₃² and Q=C₂xS₄

		d	ρ	Label	ID
C₃xC₆xS₄		54		C3xC6xS4	432,760

Semidirect products G=N:Q with N=C₃² and Q=C₂xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₂xS₄) = C₆²:₅D₆	φ: C₂xS₄/C₂² → D₆ ⊆ Aut C₃²	18	6+	C3^2:(C2xS4)	432,523
C₃²:₂(C₂xS₄) = C₂xC₆²:S₃	φ: C₂xS₄/C₂³ → S₃ ⊆ Aut C₃²	18	6+	C3^2:2(C2xS4)	432,535
C₃²:₃(C₂xS₄) = C₂xC₃²:S₄	φ: C₂xS₄/C₂³ → S₃ ⊆ Aut C₃²	18	3	C3^2:3(C2xS4)	432,538
C₃²:₄(C₂xS₄) = S₃xC₃:S₄	φ: C₂xS₄/A₄ → C₂² ⊆ Aut C₃²	24	12+	C3^2:4(C2xS4)	432,747
C₃²:₅(C₂xS₄) = C₆²:₁₀D₆	φ: C₂xS₄/A₄ → C₂² ⊆ Aut C₃²	24	12+	C3^2:5(C2xS4)	432,748
C₃²:₆(C₂xS₄) = C₃xS₃xS₄	φ: C₂xS₄/S₄ → C₂ ⊆ Aut C₃²	24	6	C3^2:6(C2xS4)	432,745
C₃²:₇(C₂xS₄) = C₃:S₃xS₄	φ: C₂xS₄/S₄ → C₂ ⊆ Aut C₃²	36		C3^2:7(C2xS4)	432,746
C₃²:₈(C₂xS₄) = C₆xC₃:S₄	φ: C₂xS₄/C₂xA₄ → C₂ ⊆ Aut C₃²	36	6	C3^2:8(C2xS4)	432,761
C₃²:₉(C₂xS₄) = C₂xC₃²:₄S₄	φ: C₂xS₄/C₂xA₄ → C₂ ⊆ Aut C₃²	54		C3^2:9(C2xS4)	432,762

Non-split extensions G=N.Q with N=C₃² and Q=C₂xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂xS₄) = C₂xC₃².S₄	φ: C₂xS₄/C₂³ → S₃ ⊆ Aut C₃²	18	6+	C3^2.(C2xS4)	432,533
C₃².₂(C₂xS₄) = S₃xC₃.S₄	φ: C₂xS₄/A₄ → C₂² ⊆ Aut C₃²	36	12+	C3^2.2(C2xS4)	432,522
C₃².₃(C₂xS₄) = C₆xC₃.S₄	φ: C₂xS₄/C₂xA₄ → C₂ ⊆ Aut C₃²	36	6	C3^2.3(C2xS4)	432,534
C₃².₄(C₂xS₄) = C₂xC₃².₃S₄	φ: C₂xS₄/C₂xA₄ → C₂ ⊆ Aut C₃²	54		C3^2.4(C2xS4)	432,537

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