Extensions 1→N→G→Q→1 with N=C₄² and Q=C₃xC₆

Direct product G=NxQ with N=C₄² and Q=C₃xC₆

		d	ρ	Label	ID
C₂xC₁₂²		288		C2xC12^2	288,811

Semidirect products G=N:Q with N=C₄² and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:₁(C₃xC₆) = C₃xC₄²:C₆	φ: C₃xC₆/C₃ → C₆ ⊆ Aut C₄²	48	6	C4^2:1(C3xC6)	288,635
C₄²:₂(C₃xC₆) = C₃xC₂³.A₄	φ: C₃xC₆/C₃ → C₆ ⊆ Aut C₄²	36	6	C4^2:2(C3xC6)	288,636
C₄²:₃(C₃xC₆) = C₆xC₄²:C₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₄²	36	3	C4^2:3(C3xC6)	288,632
C₄²:₄(C₃xC₆) = C₃²xC₄²:C₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:4(C3xC6)	288,814
C₄²:₅(C₃xC₆) = C₃²xC₄²:₂C₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:5(C3xC6)	288,823
C₄²:₆(C₃xC₆) = C₃²xC₄wrC₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	72		C4^2:6(C3xC6)	288,322
C₄²:₇(C₃xC₆) = D₄xC₃xC₁₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:7(C3xC6)	288,815
C₄²:₈(C₃xC₆) = C₃²xC₄.₄D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:8(C3xC6)	288,821
C₄²:₉(C₃xC₆) = C₃²xC₄:₁D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:9(C3xC6)	288,824

Non-split extensions G=N.Q with N=C₄² and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁(C₃xC₆) = C₃²xC₈:C₄	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.1(C3xC6)	288,315
C₄².₂(C₃xC₆) = C₃²xC₄:C₈	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.2(C3xC6)	288,323
C₄².₃(C₃xC₆) = Q₈xC₃xC₁₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.3(C3xC6)	288,816
C₄².₄(C₃xC₆) = C₃²xC₄².C₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.4(C3xC6)	288,822
C₄².₅(C₃xC₆) = C₃²xC₄:Q₈	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.5(C3xC6)	288,825

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