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

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

		d	ρ	Label	ID
C₃²×D₂₄		144		C3^2xD24	432,467

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×D₂₄) = C₃×C₃²⋊₅D₈	φ: C₃×D₂₄/C₃×C₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3xD24)	432,483
C₃⋊₂(C₃×D₂₄) = C₃×C₃⋊D₂₄	φ: C₃×D₂₄/C₃×D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xD24)	432,419

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×D₂₄) = C₃×D₇₂	φ: C₃×D₂₄/C₃×C₂₄ → C₂ ⊆ Aut C₃	144	2	C3.1(C3xD24)	432,108
C₃.₂(C₃×D₂₄) = He₃⋊₄D₈	φ: C₃×D₂₄/C₃×C₂₄ → C₂ ⊆ Aut C₃	72	6+	C3.2(C3xD24)	432,118
C₃.₃(C₃×D₂₄) = D₇₂⋊C₃	φ: C₃×D₂₄/C₃×C₂₄ → C₂ ⊆ Aut C₃	72	6+	C3.3(C3xD24)	432,123
C₃.₄(C₃×D₂₄) = C₉×D₂₄	central extension (φ=1)	144	2	C3.4(C3xD24)	432,112

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