Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂.D₂₄

Direct product G=N×Q with N=C₃ and Q=C₂.D₂₄

		d	ρ	Label	ID
C₃×C₂.D₂₄		96		C3xC2.D24	288,255

Semidirect products G=N:Q with N=C₃ and Q=C₂.D₂₄

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₂.D₂₄) = C₆.₁₇D₂₄	φ: C₂.D₂₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48	C3:1(C2.D24)	288,212
C₃⋊₂(C₂.D₂₄) = C₆².₈₄D₄	φ: C₂.D₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	144	C3:2(C2.D24)	288,296
C₃⋊₃(C₂.D₂₄) = C₆.₁₆D₂₄	φ: C₂.D₂₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	96	C3:3(C2.D24)	288,211

Non-split extensions G=N.Q with N=C₃ and Q=C₂.D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂.D₂₄) = C₂.D₇₂	φ: C₂.D₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	144		C3.(C2.D24)	288,28

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2.D24