Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₅₅D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂.₅₅D₄

		d	ρ	Label	ID
C₃×C₁₂.₅₅D₄		48		C3xC12.55D4	288,264

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₅₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₅₅D₄) = C₁₂.₇₇D₁₂	φ: C₁₂.₅₅D₄/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C12.55D4)	288,204
C₃⋊₂(C₁₂.₅₅D₄) = C₆²⋊₇C₈	φ: C₁₂.₅₅D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:2(C12.55D4)	288,305

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₅₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₅₅D₄) = C₃₆.₅₅D₄	φ: C₁₂.₅₅D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C12.55D4)	288,37

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.55D4