Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₄₈D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂.₄₈D₄

		d	ρ	Label	ID
C₃×C₁₂.₄₈D₄		48		C3xC12.48D4	288,695

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₄₈D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₄₈D₄) = D₆⋊Dic₆	φ: C₁₂.₄₈D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C12.48D4)	288,499
C₃⋊₂(C₁₂.₄₈D₄) = D₆⋊₇Dic₆	φ: C₁₂.₄₈D₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:2(C12.48D4)	288,505
C₃⋊₃(C₁₂.₄₈D₄) = C₆²⋊₃Q₈	φ: C₁₂.₄₈D₄/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(C12.48D4)	288,612
C₃⋊₄(C₁₂.₄₈D₄) = D₆⋊₆Dic₆	φ: C₁₂.₄₈D₄/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:4(C12.48D4)	288,504
C₃⋊₅(C₁₂.₄₈D₄) = C₆²⋊₁₀Q₈	φ: C₁₂.₄₈D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:5(C12.48D4)	288,781

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₄₈D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₄₈D₄) = C₃₆.₄₉D₄	φ: C₁₂.₄₈D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C12.48D4)	288,134

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