Extensions 1→N→G→Q→1 with N=C₃² and Q=Q₈:₃S₃

Direct product G=NxQ with N=C₃² and Q=Q₈:₃S₃

		d	ρ	Label	ID
C₃²xQ₈:₃S₃		144		C3^2xQ8:3S3	432,707

Semidirect products G=N:Q with N=C₃² and Q=Q₈:₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(Q₈:₃S₃) = C₁₂.₈₄S₃²	φ: Q₈:₃S₃/C₄ → D₆ ⊆ Aut C₃²	72	6	C3^2:1(Q8:3S3)	432,296
C₃²:₂(Q₈:₃S₃) = C₁₂.S₃²	φ: Q₈:₃S₃/C₄ → D₆ ⊆ Aut C₃²	72	12-	C3^2:2(Q8:3S3)	432,299
C₃²:₃(Q₈:₃S₃) = (Q₈xHe₃):C₂	φ: Q₈:₃S₃/Q₈ → S₃ ⊆ Aut C₃²	72	12+	C3^2:3(Q8:3S3)	432,369
C₃²:₄(Q₈:₃S₃) = He₃:₅D₄:C₂	φ: Q₈:₃S₃/Q₈ → S₃ ⊆ Aut C₃²	72	6	C3^2:4(Q8:3S3)	432,395
C₃²:₅(Q₈:₃S₃) = Dic₃.S₃²	φ: Q₈:₃S₃/Dic₃ → C₂² ⊆ Aut C₃²	24	8+	C3^2:5(Q8:3S3)	432,612
C₃²:₆(Q₈:₃S₃) = C₁₂.₃₉S₃²	φ: Q₈:₃S₃/C₁₂ → C₂² ⊆ Aut C₃²	72		C3^2:6(Q8:3S3)	432,664
C₃²:₇(Q₈:₃S₃) = C₁₂.₄₀S₃²	φ: Q₈:₃S₃/C₁₂ → C₂² ⊆ Aut C₃²	72		C3^2:7(Q8:3S3)	432,665
C₃²:₈(Q₈:₃S₃) = C₁₂:S₃:₁₂S₃	φ: Q₈:₃S₃/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:8(Q8:3S3)	432,688
C₃²:₉(Q₈:₃S₃) = D₆.₃S₃²	φ: Q₈:₃S₃/D₆ → C₂² ⊆ Aut C₃²	24	8+	C3^2:9(Q8:3S3)	432,609
C₃²:₁₀(Q₈:₃S₃) = D₆.₆S₃²	φ: Q₈:₃S₃/D₆ → C₂² ⊆ Aut C₃²	48	8-	C3^2:10(Q8:3S3)	432,611
C₃²:₁₁(Q₈:₃S₃) = C₃xD₆.₆D₆	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₃²	48	4	C3^2:11(Q8:3S3)	432,647
C₃²:₁₂(Q₈:₃S₃) = C₁₂.₅₈S₃²	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₃²	72		C3^2:12(Q8:3S3)	432,669
C₃²:₁₃(Q₈:₃S₃) = C₃xD₁₂:S₃	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₃²	48	4	C3^2:13(Q8:3S3)	432,644
C₃²:₁₄(Q₈:₃S₃) = D₁₂:(C₃:S₃)	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:14(Q8:3S3)	432,662
C₃²:₁₅(Q₈:₃S₃) = C₃xC₁₂.₂₆D₆	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	144		C3^2:15(Q8:3S3)	432,717
C₃²:₁₆(Q₈:₃S₃) = (Q₈xC₃³):C₂	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	216		C3^2:16(Q8:3S3)	432,727

Non-split extensions G=N.Q with N=C₃² and Q=Q₈:₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(Q₈:₃S₃) = D₃₆:₃C₆	φ: Q₈:₃S₃/Q₈ → S₃ ⊆ Aut C₃²	72	12+	C3^2.(Q8:3S3)	432,371
C₃².₂(Q₈:₃S₃) = D₁₈.D₆	φ: Q₈:₃S₃/C₁₂ → C₂² ⊆ Aut C₃²	72	4	C3^2.2(Q8:3S3)	432,281
C₃².₃(Q₈:₃S₃) = Dic₆:₅D₉	φ: Q₈:₃S₃/C₁₂ → C₂² ⊆ Aut C₃²	72	4+	C3^2.3(Q8:3S3)	432,282
C₃².₄(Q₈:₃S₃) = C₃xQ₈:₃D₉	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	144	4	C3^2.4(Q8:3S3)	432,365
C₃².₅(Q₈:₃S₃) = C₃₆.₂₉D₆	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	216		C3^2.5(Q8:3S3)	432,393

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