Extensions 1→N→G→Q→1 with N=C₃² and Q=C₆xQ₈

Direct product G=NxQ with N=C₃² and Q=C₆xQ₈

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

Semidirect products G=N:Q with N=C₃² and Q=C₆xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₆xQ₈) = C₆xPSU₃(F₂)	φ: C₆xQ₈/C₆ → Q₈ ⊆ Aut C₃²	48	8	C3^2:(C6xQ8)	432,757
C₃²:₂(C₆xQ₈) = C₂xHe₃:₃Q₈	φ: C₆xQ₈/C₂xC₄ → C₆ ⊆ Aut C₃²	144		C3^2:2(C6xQ8)	432,348
C₃²:₃(C₆xQ₈) = Q₈xC₃²:C₆	φ: C₆xQ₈/Q₈ → C₆ ⊆ Aut C₃²	72	12-	C3^2:3(C6xQ8)	432,368
C₃²:₄(C₆xQ₈) = C₃xS₃xDic₆	φ: C₆xQ₈/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:4(C6xQ8)	432,642
C₃²:₅(C₆xQ₈) = C₃xDic₃.D₆	φ: C₆xQ₈/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:5(C6xQ8)	432,645
C₃²:₆(C₆xQ₈) = C₆xC₃²:₂Q₈	φ: C₆xQ₈/C₂xC₆ → C₂² ⊆ Aut C₃²	48		C3^2:6(C6xQ8)	432,657
C₃²:₇(C₆xQ₈) = C₂xQ₈xHe₃	φ: C₆xQ₈/C₂xQ₈ → C₃ ⊆ Aut C₃²	144		C3^2:7(C6xQ8)	432,407
C₃²:₈(C₆xQ₈) = C₃xC₆xDic₆	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2:8(C6xQ8)	432,700
C₃²:₉(C₆xQ₈) = C₆xC₃²:₄Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2:9(C6xQ8)	432,710
C₃²:₁₀(C₆xQ₈) = S₃xQ₈xC₃²	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₃²	144		C3^2:10(C6xQ8)	432,706
C₃²:₁₁(C₆xQ₈) = C₃xQ₈xC₃:S₃	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₃²	144		C3^2:11(C6xQ8)	432,716

Non-split extensions G=N.Q with N=C₃² and Q=C₆xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₆xQ₈) = C₂xQ₈x3_-¹⁺²	φ: C₆xQ₈/C₂xQ₈ → C₃ ⊆ Aut C₃²	144		C3^2.(C6xQ8)	432,408
C₃².₂(C₆xQ₈) = C₁₈xDic₆	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2.2(C6xQ8)	432,341
C₃².₃(C₆xQ₈) = S₃xQ₈xC₉	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₃²	144	4	C3^2.3(C6xQ8)	432,366
C₃².₄(C₆xQ₈) = Q₈xC₃xC₁₈	central extension (φ=1)	432		C3^2.4(C6xQ8)	432,406

׿

x

:

Z

F

o

wr

Q

<