Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₃⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₂²×C₃⋊D₄

		d	ρ	Label	ID
C₂×C₆×C₃⋊D₄		48		C2xC6xC3:D4	288,1002

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²×C₃⋊D₄) = C₂²×C₃⋊D₁₂	φ: C₂²×C₃⋊D₄/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C2^2xC3:D4)	288,974
C₃⋊₂(C₂²×C₃⋊D₄) = C₂×S₃×C₃⋊D₄	φ: C₂²×C₃⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:2(C2^2xC3:D4)	288,976
C₃⋊₃(C₂²×C₃⋊D₄) = C₂²×D₆⋊S₃	φ: C₂²×C₃⋊D₄/S₃×C₂³ → C₂ ⊆ Aut C₃	96		C3:3(C2^2xC3:D4)	288,973
C₃⋊₄(C₂²×C₃⋊D₄) = C₂²×C₃²⋊₇D₄	φ: C₂²×C₃⋊D₄/C₂³×C₆ → C₂ ⊆ Aut C₃	144		C3:4(C2^2xC3:D4)	288,1017

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×C₃⋊D₄) = C₂²×C₉⋊D₄	φ: C₂²×C₃⋊D₄/C₂³×C₆ → C₂ ⊆ Aut C₃	144		C3.(C2^2xC3:D4)	288,366

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