Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×C₃⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₄×C₃⋊D₄

		d	ρ	Label	ID
C₁₂×C₃⋊D₄		48		C12xC3:D4	288,699

Semidirect products G=N:Q with N=C₃ and Q=C₄×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×C₃⋊D₄) = C₄×C₃⋊D₁₂	φ: C₄×C₃⋊D₄/C₄×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C4xC3:D4)	288,551
C₃⋊₂(C₄×C₃⋊D₄) = C₆².₇₄C₂³	φ: C₄×C₃⋊D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C4xC3:D4)	288,552
C₃⋊₃(C₄×C₃⋊D₄) = C₆².₄₉C₂³	φ: C₄×C₃⋊D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C4xC3:D4)	288,527
C₃⋊₄(C₄×C₃⋊D₄) = C₆².₉₄C₂³	φ: C₄×C₃⋊D₄/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:4(C4xC3:D4)	288,600
C₃⋊₅(C₄×C₃⋊D₄) = C₄×D₆⋊S₃	φ: C₄×C₃⋊D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:5(C4xC3:D4)	288,549
C₃⋊₆(C₄×C₃⋊D₄) = Dic₃×C₃⋊D₄	φ: C₄×C₃⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:6(C4xC3:D4)	288,620
C₃⋊₇(C₄×C₃⋊D₄) = C₄×C₃²⋊₇D₄	φ: C₄×C₃⋊D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:7(C4xC3:D4)	288,785

Non-split extensions G=N.Q with N=C₃ and Q=C₄×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×C₃⋊D₄) = C₄×C₉⋊D₄	φ: C₄×C₃⋊D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C4xC3:D4)	288,138

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