Extensions 1→N→G→Q→1 with N=C₃² and Q=Q₈:₂S₃

Direct product G=NxQ with N=C₃² and Q=Q₈:₂S₃

		d	ρ	Label	ID
C₃²xQ₈:₂S₃		144		C3^2xQ8:2S3	432,477

Semidirect products G=N:Q with N=C₃² and Q=Q₈:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(Q₈:₂S₃) = C₃³:₃SD₁₆	φ: Q₈:₂S₃/C₃ → SD₁₆ ⊆ Aut C₃²	24	16+	C3^2:(Q8:2S3)	432,739
C₃²:₂(Q₈:₂S₃) = He₃:₃SD₁₆	φ: Q₈:₂S₃/C₄ → D₆ ⊆ Aut C₃²	72	6	C3^2:2(Q8:2S3)	432,78
C₃²:₃(Q₈:₂S₃) = He₃:₄SD₁₆	φ: Q₈:₂S₃/C₄ → D₆ ⊆ Aut C₃²	72	12-	C3^2:3(Q8:2S3)	432,84
C₃²:₄(Q₈:₂S₃) = C₃³:₆SD₁₆	φ: Q₈:₂S₃/C₆ → D₄ ⊆ Aut C₃²	24	4	C3^2:4(Q8:2S3)	432,583
C₃²:₅(Q₈:₂S₃) = He₃:₁₀SD₁₆	φ: Q₈:₂S₃/Q₈ → S₃ ⊆ Aut C₃²	72	12+	C3^2:5(Q8:2S3)	432,161
C₃²:₆(Q₈:₂S₃) = He₃:₁₁SD₁₆	φ: Q₈:₂S₃/Q₈ → S₃ ⊆ Aut C₃²	72	6	C3^2:6(Q8:2S3)	432,196
C₃²:₇(Q₈:₂S₃) = C₃³:₁₃SD₁₆	φ: Q₈:₂S₃/C₁₂ → C₂² ⊆ Aut C₃²	144		C3^2:7(Q8:2S3)	432,440
C₃²:₈(Q₈:₂S₃) = C₃³:₁₅SD₁₆	φ: Q₈:₂S₃/C₁₂ → C₂² ⊆ Aut C₃²	72		C3^2:8(Q8:2S3)	432,442
C₃²:₉(Q₈:₂S₃) = C₃³:₁₈SD₁₆	φ: Q₈:₂S₃/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:9(Q8:2S3)	432,458
C₃²:₁₀(Q₈:₂S₃) = C₃xC₃²:₅SD₁₆	φ: Q₈:₂S₃/C₃:C₈ → C₂ ⊆ Aut C₃²	48	4	C3^2:10(Q8:2S3)	432,422
C₃²:₁₁(Q₈:₂S₃) = C₃³:₁₇SD₁₆	φ: Q₈:₂S₃/C₃:C₈ → C₂ ⊆ Aut C₃²	72		C3^2:11(Q8:2S3)	432,444
C₃²:₁₂(Q₈:₂S₃) = C₃xDic₆:S₃	φ: Q₈:₂S₃/D₁₂ → C₂ ⊆ Aut C₃²	48	4	C3^2:12(Q8:2S3)	432,420
C₃²:₁₃(Q₈:₂S₃) = C₃³:₁₂SD₁₆	φ: Q₈:₂S₃/D₁₂ → C₂ ⊆ Aut C₃²	144		C3^2:13(Q8:2S3)	432,439
C₃²:₁₄(Q₈:₂S₃) = C₃xC₃²:₁₁SD₁₆	φ: Q₈:₂S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	144		C3^2:14(Q8:2S3)	432,493
C₃²:₁₅(Q₈:₂S₃) = C₃³:₂₇SD₁₆	φ: Q₈:₂S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	216		C3^2:15(Q8:2S3)	432,509

Non-split extensions G=N.Q with N=C₃² and Q=Q₈:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(Q₈:₂S₃) = D₃₆.C₆	φ: Q₈:₂S₃/Q₈ → S₃ ⊆ Aut C₃²	72	12+	C3^2.(Q8:2S3)	432,163
C₃².₂(Q₈:₂S₃) = Dic₆:D₉	φ: Q₈:₂S₃/C₁₂ → C₂² ⊆ Aut C₃²	144	4	C3^2.2(Q8:2S3)	432,72
C₃².₃(Q₈:₂S₃) = C₁₈.D₁₂	φ: Q₈:₂S₃/C₁₂ → C₂² ⊆ Aut C₃²	72	4+	C3^2.3(Q8:2S3)	432,73
C₃².₄(Q₈:₂S₃) = C₃xQ₈:₂D₉	φ: Q₈:₂S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	144	4	C3^2.4(Q8:2S3)	432,157
C₃².₅(Q₈:₂S₃) = C₃₆.₂₀D₆	φ: Q₈:₂S₃/C₃xQ₈ → C₂ ⊆ Aut C₃²	216		C3^2.5(Q8:2S3)	432,195

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