Extensions 1→N→G→Q→1 with N=C₃²:₄Q₈ and Q=C₄

Direct product G=NxQ with N=C₃²:₄Q₈ and Q=C₄

		d	ρ	Label	ID
C₄xC₃²:₄Q₈		288		C4xC3^2:4Q8	288,725

Semidirect products G=N:Q with N=C₃²:₄Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²:₄Q₈:₁C₄ = C₃²:₆C₄wrC₂	φ: C₄/C₁ → C₄ ⊆ Out C₃²:₄Q₈	48	8-	C3^2:4Q8:1C4	288,431
C₃²:₄Q₈:₂C₄ = C₃:S₃.₅Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₃²:₄Q₈	48	8-	C3^2:4Q8:2C4	288,432
C₃²:₄Q₈:₃C₄ = Q₈xC₃²:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃²:₄Q₈	48	8-	C3^2:4Q8:3C4	288,938
C₃²:₄Q₈:₄C₄ = C₁₂²:C₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:4C4	288,280
C₃²:₄Q₈:₅C₄ = C₆.₄Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	288		C3^2:4Q8:5C4	288,291
C₃²:₄Q₈:₆C₄ = C₁₂.₇₃D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	96		C3^2:4Q8:6C4	288,215
C₃²:₄Q₈:₇C₄ = C₁₂.₈₀D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	48	4	C3^2:4Q8:7C4	288,218
C₃²:₄Q₈:₈C₄ = C₆².₁₁₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	288		C3^2:4Q8:8C4	288,285
C₃²:₄Q₈:₉C₄ = C₆².₃₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:9C4	288,300
C₃²:₄Q₈:₁₀C₄ = Dic₃:₆Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	96		C3^2:4Q8:10C4	288,492
C₃²:₄Q₈:₁₁C₄ = C₆².₂₃₁C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	288		C3^2:4Q8:11C4	288,744

Non-split extensions G=N.Q with N=C₃²:₄Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²:₄Q₈.C₄ = C₆².(C₂xC₄)	φ: C₄/C₁ → C₄ ⊆ Out C₃²:₄Q₈	48	8-	C3^2:4Q8.C4	288,935
C₃²:₄Q₈.₂C₄ = C₃:C₈.₂₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	48	4	C3^2:4Q8.2C4	288,465
C₃²:₄Q₈.₃C₄ = C₂₄.₄₇D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8.3C4	288,764
C₃²:₄Q₈.₄C₄ = C₂₄.₉₅D₆	φ: trivial image	144		C3^2:4Q8.4C4	288,758

׿

x

:

Z

F

o

wr

Q

<