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
C₆×D₂₄		96		C6xD24	288,674

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×D₂₄) = S₃×D₂₄	φ: C₂×D₂₄/D₂₄ → C₂ ⊆ Aut C₃	48	4+	C3:1(C2xD24)	288,441
C₃⋊₂(C₂×D₂₄) = C₂×C₃²⋊₅D₈	φ: C₂×D₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	144		C3:2(C2xD24)	288,760
C₃⋊₃(C₂×D₂₄) = C₂×C₃⋊D₂₄	φ: C₂×D₂₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	48		C3:3(C2xD24)	288,472

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.(C2xD24)	288,114

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