Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₅₃D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂.₅₃D₄

		d	ρ	Label	ID
C₃×C₁₂.₅₃D₄		48	4	C3xC12.53D4	288,256

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₅₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₅₃D₄) = C₁₂.₈₂D₁₂	φ: C₁₂.₅₃D₄/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C12.53D4)	288,225
C₃⋊₂(C₁₂.₅₃D₄) = C₆².₅Q₈	φ: C₁₂.₅₃D₄/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:2(C12.53D4)	288,226
C₃⋊₃(C₁₂.₅₃D₄) = C₆².₈Q₈	φ: C₁₂.₅₃D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	144		C3:3(C12.53D4)	288,297

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₅₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₅₃D₄) = C₃₆.₅₃D₄	φ: C₁₂.₅₃D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	144	4	C3.(C12.53D4)	288,29

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.53D4