Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃⋊₅D₄

Direct product G=N×Q with N=C₃ and Q=Dic₃⋊₅D₄

		d	ρ	Label	ID
C₃×Dic₃⋊₅D₄		96		C3xDic3:5D4	288,664

Semidirect products G=N:Q with N=C₃ and Q=Dic₃⋊₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃⋊₅D₄) = Dic₃⋊₅D₁₂	φ: Dic₃⋊₅D₄/C₄×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(Dic3:5D4)	288,542
C₃⋊₂(Dic₃⋊₅D₄) = C₆².₅₁C₂³	φ: Dic₃⋊₅D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(Dic3:5D4)	288,529
C₃⋊₃(Dic₃⋊₅D₄) = C₆².₂₃₇C₂³	φ: Dic₃⋊₅D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3:3(Dic3:5D4)	288,750
C₃⋊₄(Dic₃⋊₅D₄) = C₆².₇₄C₂³	φ: Dic₃⋊₅D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48		C3:4(Dic3:5D4)	288,552
C₃⋊₅(Dic₃⋊₅D₄) = D₁₂⋊Dic₃	φ: Dic₃⋊₅D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:5(Dic3:5D4)	288,546

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃⋊₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃⋊₅D₄) = D₃₆⋊C₄	φ: Dic₃⋊₅D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(Dic3:5D4)	288,103

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