Extensions 1→N→G→Q→1 with N=C₃xC₄oD₄ and Q=C₃²

Direct product G=NxQ with N=C₃xC₄oD₄ and Q=C₃²

		d	ρ	Label	ID
C₄oD₄xC₃³		216		C4oD4xC3^3	432,733

Semidirect products G=N:Q with N=C₃xC₄oD₄ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₄):C₃² = C₃²xC₄.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃xC₄oD₄	144		(C3xC4oD4):C3^2	432,699

Non-split extensions G=N.Q with N=C₃xC₄oD₄ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₄).₁C₃² = C₉xC₄.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃xC₄oD₄	144	2	(C3xC4oD4).1C3^2	432,329
(C₃xC₄oD₄).₂C₃² = C₃₆.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃xC₄oD₄	144	6	(C3xC4oD4).2C3^2	432,330
(C₃xC₄oD₄).₃C₃² = C₃xQ₈.C₁₈	φ: C₃²/C₃ → C₃ ⊆ Out C₃xC₄oD₄	216		(C3xC4oD4).3C3^2	432,337
(C₃xC₄oD₄).₄C₃² = Q₈:C₉:₄C₆	φ: C₃²/C₃ → C₃ ⊆ Out C₃xC₄oD₄	72	6	(C3xC4oD4).4C3^2	432,338
(C₃xC₄oD₄).₅C₃² = C₄oD₄:He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₃xC₄oD₄	72	6	(C3xC4oD4).5C3^2	432,339
(C₃xC₄oD₄).₆C₃² = C₄oD₄xC₃xC₉	φ: trivial image	216		(C3xC4oD4).6C3^2	432,409
(C₃xC₄oD₄).₇C₃² = C₄oD₄xHe₃	φ: trivial image	72	6	(C3xC4oD4).7C3^2	432,410
(C₃xC₄oD₄).₈C₃² = C₄oD₄x3_-¹⁺²	φ: trivial image	72	6	(C3xC4oD4).8C3^2	432,411

׿

x

:

Z

F

o

wr

Q

<