Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊D₄

Direct product G=N×Q with N=C₃ and Q=D₆⋊D₄

		d	ρ	Label	ID
C₃×D₆⋊D₄		48		C3xD6:D4	288,653

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆⋊D₄) = D₆⋊₅D₁₂	φ: D₆⋊D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(D6:D4)	288,571
C₃⋊₂(D₆⋊D₄) = C₆²⋊₁₂D₄	φ: D₆⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	72		C3:2(D6:D4)	288,739
C₃⋊₃(D₆⋊D₄) = D₆⋊₄D₁₂	φ: D₆⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	48		C3:3(D6:D4)	288,570
C₃⋊₄(D₆⋊D₄) = C₆²⋊₈D₄	φ: D₆⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	24		C3:4(D6:D4)	288,629
C₃⋊₅(D₆⋊D₄) = C₆²⋊₅D₄	φ: D₆⋊D₄/S₃×C₂³ → C₂ ⊆ Aut C₃	48		C3:5(D6:D4)	288,625

Non-split extensions G=N.Q with N=C₃ and Q=D₆⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆⋊D₄) = C₂²⋊₃D₃₆	φ: D₆⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	72		C3.(D6:D4)	288,92

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