Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄⋊C₄⋊₇D₅

Direct product G=N×Q with N=C₃ and Q=C₄⋊C₄⋊₇D₅

		d	ρ	Label	ID
C₃×C₄⋊C₄⋊₇D₅		240		C3xC4:C4:7D5	480,685

Semidirect products G=N:Q with N=C₃ and Q=C₄⋊C₄⋊₇D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊C₄⋊₇D₅) = D₃₀.C₂⋊C₄	φ: C₄⋊C₄⋊₇D₅/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C4:C4:7D5)	480,478
C₃⋊₂(C₄⋊C₄⋊₇D₅) = (C₄×D₁₅)⋊₈C₄	φ: C₄⋊C₄⋊₇D₅/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:2(C4:C4:7D5)	480,423
C₃⋊₃(C₄⋊C₄⋊₇D₅) = D₁₀.₁₉(C₄×S₃)	φ: C₄⋊C₄⋊₇D₅/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(C4:C4:7D5)	480,470
C₃⋊₄(C₄⋊C₄⋊₇D₅) = C₄⋊C₄⋊₇D₁₅	φ: C₄⋊C₄⋊₇D₅/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:4(C4:C4:7D5)	480,857
C₃⋊₅(C₄⋊C₄⋊₇D₅) = (C₄×D₅)⋊Dic₃	φ: C₄⋊C₄⋊₇D₅/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:5(C4:C4:7D5)	480,434

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