Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₃xQ₈

Direct product G=NxQ with N=C₃xC₆ and Q=C₃xQ₈

		d	ρ	Label	ID
Q₈xC₃²xC₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):(C₃xQ₈) = C₆xPSU₃(F₂)	φ: C₃xQ₈/C₃ → Q₈ ⊆ Aut C₃xC₆	48	8	(C3xC6):(C3xQ8)	432,757
(C₃xC₆):₂(C₃xQ₈) = C₂xHe₃:₃Q₈	φ: C₃xQ₈/C₄ → C₆ ⊆ Aut C₃xC₆	144		(C3xC6):2(C3xQ8)	432,348
(C₃xC₆):₃(C₃xQ₈) = C₆xC₃²:₂Q₈	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6):3(C3xQ8)	432,657
(C₃xC₆):₄(C₃xQ₈) = C₂xQ₈xHe₃	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6):4(C3xQ8)	432,407
(C₃xC₆):₅(C₃xQ₈) = C₃xC₆xDic₆	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6):5(C3xQ8)	432,700
(C₃xC₆):₆(C₃xQ₈) = C₆xC₃²:₄Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6):6(C3xQ8)	432,710

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).(C₃xQ₈) = C₃xC₂.PSU₃(F₂)	φ: C₃xQ₈/C₃ → Q₈ ⊆ Aut C₃xC₆	48	8	(C3xC6).(C3xQ8)	432,591
(C₃xC₆).₂(C₃xQ₈) = C₆².₁₉D₆	φ: C₃xQ₈/C₄ → C₆ ⊆ Aut C₃xC₆	144		(C3xC6).2(C3xQ8)	432,139
(C₃xC₆).₃(C₃xQ₈) = C₆².₂₀D₆	φ: C₃xQ₈/C₄ → C₆ ⊆ Aut C₃xC₆	144		(C3xC6).3(C3xQ8)	432,140
(C₃xC₆).₄(C₃xQ₈) = C₃xDic₃:Dic₃	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).4(C3xQ8)	432,428
(C₃xC₆).₅(C₃xQ₈) = C₃xC₆².C₂²	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).5(C3xQ8)	432,429
(C₃xC₆).₆(C₃xQ₈) = C₄:C₄xHe₃	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).6(C3xQ8)	432,207
(C₃xC₆).₇(C₃xQ₈) = C₄:C₄x3_-¹⁺²	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).7(C3xQ8)	432,208
(C₃xC₆).₈(C₃xQ₈) = C₂xQ₈x3_-¹⁺²	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).8(C3xQ8)	432,408
(C₃xC₆).₉(C₃xQ₈) = C₉xDic₃:C₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).9(C3xQ8)	432,132
(C₃xC₆).₁₀(C₃xQ₈) = C₉xC₄:Dic₃	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).10(C3xQ8)	432,133
(C₃xC₆).₁₁(C₃xQ₈) = C₁₈xDic₆	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).11(C3xQ8)	432,341
(C₃xC₆).₁₂(C₃xQ₈) = C₃²xDic₃:C₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).12(C3xQ8)	432,472
(C₃xC₆).₁₃(C₃xQ₈) = C₃²xC₄:Dic₃	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).13(C3xQ8)	432,473
(C₃xC₆).₁₄(C₃xQ₈) = C₃xC₆.Dic₆	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).14(C3xQ8)	432,488
(C₃xC₆).₁₅(C₃xQ₈) = C₃xC₁₂:Dic₃	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).15(C3xQ8)	432,489
(C₃xC₆).₁₆(C₃xQ₈) = C₄:C₄xC₃xC₉	central extension (φ=1)	432		(C3xC6).16(C3xQ8)	432,206
(C₃xC₆).₁₇(C₃xQ₈) = Q₈xC₃xC₁₈	central extension (φ=1)	432		(C3xC6).17(C3xQ8)	432,406
(C₃xC₆).₁₈(C₃xQ₈) = C₄:C₄xC₃³	central extension (φ=1)	432		(C3xC6).18(C3xQ8)	432,514

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