Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₃:Dic₃

Direct product G=NxQ with N=C₂xC₄ and Q=C₃:Dic₃

		d	ρ	Label	ID
C₂xC₄xC₃:Dic₃		288		C2xC4xC3:Dic3	288,779

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₃:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):(C₃:Dic₃) = C₆².₃₈D₄	φ: C₃:Dic₃/C₃² → C₄ ⊆ Aut C₂xC₄	72		(C2xC4):(C3:Dic3)	288,309
(C₂xC₄):₂(C₃:Dic₃) = C₆².₁₅Q₈	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288		(C2xC4):2(C3:Dic3)	288,306
(C₂xC₄):₃(C₃:Dic₃) = C₂xC₁₂:Dic₃	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288		(C2xC4):3(C3:Dic3)	288,782
(C₂xC₄):₄(C₃:Dic₃) = C₆².₂₄₇C₂³	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4):4(C3:Dic3)	288,783

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₃:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).(C₃:Dic₃) = (C₆xC₁₂).C₄	φ: C₃:Dic₃/C₃² → C₄ ⊆ Aut C₂xC₄	144		(C2xC4).(C3:Dic3)	288,311
(C₂xC₄).₂(C₃:Dic₃) = C₁₂².C₂	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288		(C2xC4).2(C3:Dic3)	288,278
(C₂xC₄).₃(C₃:Dic₃) = C₆²:₇C₈	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).3(C3:Dic3)	288,305
(C₂xC₄).₄(C₃:Dic₃) = C₁₂.₅₇D₁₂	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	288		(C2xC4).4(C3:Dic3)	288,279
(C₂xC₄).₅(C₃:Dic₃) = C₂₄.₉₄D₆	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).5(C3:Dic3)	288,287
(C₂xC₄).₆(C₃:Dic₃) = C₂xC₁₂.₅₈D₆	φ: C₃:Dic₃/C₃xC₆ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).6(C3:Dic3)	288,778
(C₂xC₄).₇(C₃:Dic₃) = C₄xC₃²:₄C₈	central extension (φ=1)	288		(C2xC4).7(C3:Dic3)	288,277
(C₂xC₄).₈(C₃:Dic₃) = C₂xC₂₄.S₃	central extension (φ=1)	288		(C2xC4).8(C3:Dic3)	288,286
(C₂xC₄).₉(C₃:Dic₃) = C₂²xC₃²:₄C₈	central extension (φ=1)	288		(C2xC4).9(C3:Dic3)	288,777

׿

x

:

Z

F

o

wr

Q

<