Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄xC₁₂

Direct product G=NxQ with N=C₆ and Q=C₄xC₁₂

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

Semidirect products G=N:Q with N=C₆ and Q=C₄xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₄xC₁₂) = Dic₃xC₂xC₁₂	φ: C₄xC₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6:(C4xC12)	288,693

Non-split extensions G=N.Q with N=C₆ and Q=C₄xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄xC₁₂) = C₁₂xC₃:C₈	φ: C₄xC₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.1(C4xC12)	288,236
C₆.₂(C₄xC₁₂) = C₃xC₄².S₃	φ: C₄xC₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.2(C4xC12)	288,237
C₆.₃(C₄xC₁₂) = Dic₃xC₂₄	φ: C₄xC₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.3(C4xC12)	288,247
C₆.₄(C₄xC₁₂) = C₃xC₂₄:C₄	φ: C₄xC₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.4(C4xC12)	288,249
C₆.₅(C₄xC₁₂) = C₃xC₆.C₄²	φ: C₄xC₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.5(C4xC12)	288,265
C₆.₆(C₄xC₁₂) = C₉xC₂.C₄²	central extension (φ=1)	288		C6.6(C4xC12)	288,45
C₆.₇(C₄xC₁₂) = C₉xC₈:C₄	central extension (φ=1)	288		C6.7(C4xC12)	288,47
C₆.₈(C₄xC₁₂) = C₃²xC₂.C₄²	central extension (φ=1)	288		C6.8(C4xC12)	288,313
C₆.₉(C₄xC₁₂) = C₃²xC₈:C₄	central extension (φ=1)	288		C6.9(C4xC12)	288,315

׿

x

:

Z

F

o

wr

Q

<