Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂⋊₇D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂⋊₇D₄

		d	ρ	Label	ID
C₃×C₁₂⋊₇D₄		48		C3xC12:7D4	288,701

Semidirect products G=N:Q with N=C₃ and Q=C₁₂⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂⋊₇D₄) = C₁₂⋊₇D₁₂	φ: C₁₂⋊₇D₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C12:7D4)	288,557
C₃⋊₂(C₁₂⋊₇D₄) = D₆⋊D₁₂	φ: C₁₂⋊₇D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C12:7D4)	288,554
C₃⋊₃(C₁₂⋊₇D₄) = D₆⋊₂D₁₂	φ: C₁₂⋊₇D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:3(C12:7D4)	288,556
C₃⋊₄(C₁₂⋊₇D₄) = C₆²⋊₆D₄	φ: C₁₂⋊₇D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:4(C12:7D4)	288,626
C₃⋊₅(C₁₂⋊₇D₄) = C₆²⋊₁₉D₄	φ: C₁₂⋊₇D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:5(C12:7D4)	288,787

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂⋊₇D₄) = C₃₆⋊₇D₄	φ: C₁₂⋊₇D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C12:7D4)	288,140

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