Extensions 1→N→G→Q→1 with N=C₄² and Q=C₃×C₆

Direct product G=N×Q with N=C₄² and Q=C₃×C₆

		d	ρ	Label	ID
C₂×C₁₂²		288		C2xC12^2	288,811

Semidirect products G=N:Q with N=C₄² and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁(C₃×C₆) = C₃×C₄²⋊C₆	φ: C₃×C₆/C₃ → C₆ ⊆ Aut C₄²	48	6	C4^2:1(C3xC6)	288,635
C₄²⋊₂(C₃×C₆) = C₃×C₂³.A₄	φ: C₃×C₆/C₃ → C₆ ⊆ Aut C₄²	36	6	C4^2:2(C3xC6)	288,636
C₄²⋊₃(C₃×C₆) = C₆×C₄²⋊C₃	φ: C₃×C₆/C₆ → C₃ ⊆ Aut C₄²	36	3	C4^2:3(C3xC6)	288,632
C₄²⋊₄(C₃×C₆) = C₃²×C₄²⋊C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:4(C3xC6)	288,814
C₄²⋊₅(C₃×C₆) = C₃²×C₄²⋊₂C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:5(C3xC6)	288,823
C₄²⋊₆(C₃×C₆) = C₃²×C₄≀C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	72		C4^2:6(C3xC6)	288,322
C₄²⋊₇(C₃×C₆) = D₄×C₃×C₁₂	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:7(C3xC6)	288,815
C₄²⋊₈(C₃×C₆) = C₃²×C₄.₄D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:8(C3xC6)	288,821
C₄²⋊₉(C₃×C₆) = C₃²×C₄⋊₁D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	144		C4^2:9(C3xC6)	288,824

Non-split extensions G=N.Q with N=C₄² and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁(C₃×C₆) = C₃²×C₈⋊C₄	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.1(C3xC6)	288,315
C₄².₂(C₃×C₆) = C₃²×C₄⋊C₈	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.2(C3xC6)	288,323
C₄².₃(C₃×C₆) = Q₈×C₃×C₁₂	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.3(C3xC6)	288,816
C₄².₄(C₃×C₆) = C₃²×C₄².C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.4(C3xC6)	288,822
C₄².₅(C₃×C₆) = C₃²×C₄⋊Q₈	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₄²	288		C4^2.5(C3xC6)	288,825

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