Extensions 1→N→G→Q→1 with N=C₃²:₄Q₈ and Q=C₆

Direct product G=NxQ with N=C₃²:₄Q₈ and Q=C₆

		d	ρ	Label	ID
C₆xC₃²:₄Q₈		144		C6xC3^2:4Q8	432,710

Semidirect products G=N:Q with N=C₃²:₄Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²:₄Q₈:₁C₆ = He₃:₆SD₁₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²:₄Q₈	72	6	C3^2:4Q8:1C6	432,117
C₃²:₄Q₈:₂C₆ = He₃:₈SD₁₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²:₄Q₈	72	12-	C3^2:4Q8:2C6	432,152
C₃²:₄Q₈:₃C₆ = C₆².₁₃D₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²:₄Q₈	72	12-	C3^2:4Q8:3C6	432,361
C₃²:₄Q₈:₄C₆ = Q₈xC₃²:C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²:₄Q₈	72	12-	C3^2:4Q8:4C6	432,368
C₃²:₄Q₈:₅C₆ = C₂xHe₃:₃Q₈	φ: C₆/C₂ → C₃ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8:5C6	432,348
C₃²:₄Q₈:₆C₆ = C₆².₃₆D₆	φ: C₆/C₂ → C₃ ⊆ Out C₃²:₄Q₈	72	6	C3^2:4Q8:6C6	432,351
C₃²:₄Q₈:₇C₆ = C₃xC₂₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8:7C6	432,482
C₃²:₄Q₈:₈C₆ = C₃xD₁₂.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	48	4	C3^2:4Q8:8C6	432,421
C₃²:₄Q₈:₉C₆ = C₃xC₃²:₉SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:9C6	432,492
C₃²:₄Q₈:₁₀C₆ = C₃xS₃xDic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	48	4	C3^2:4Q8:10C6	432,642
C₃²:₄Q₈:₁₁C₆ = C₃xD₁₂:₅S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	48	4	C3^2:4Q8:11C6	432,643
C₃²:₄Q₈:₁₂C₆ = C₃xC₁₂.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:12C6	432,715
C₃²:₄Q₈:₁₃C₆ = C₃xQ₈xC₃:S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8:13C6	432,716
C₃²:₄Q₈:₁₄C₆ = C₃xC₁₂.₅₉D₆	φ: trivial image	72		C3^2:4Q8:14C6	432,713

Non-split extensions G=N.Q with N=C₃²:₄Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²:₄Q₈.₁C₆ = He₃:₄Q₁₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²:₄Q₈	144	6-	C3^2:4Q8.1C6	432,114
C₃²:₄Q₈.₂C₆ = He₃:₆Q₁₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²:₄Q₈	144	12-	C3^2:4Q8.2C6	432,160
C₃²:₄Q₈.₃C₆ = C₃xC₃²:₅Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8.3C6	432,484
C₃²:₄Q₈.₄C₆ = C₃xC₃²:₃Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	48	4	C3^2:4Q8.4C6	432,424
C₃²:₄Q₈.₅C₆ = C₃xC₃²:₇Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8.5C6	432,494

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