Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃²⋊C₄

Direct product G=N×Q with N=C₁₀ and Q=C₃²⋊C₄

		d	ρ	Label	ID
C₁₀×C₃²⋊C₄		60	4	C10xC3^2:C4	360,148

Semidirect products G=N:Q with N=C₁₀ and Q=C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃²⋊C₄) = C₂×C₃²⋊F₅	φ: C₃²⋊C₄/C₃² → C₄ ⊆ Aut C₁₀	60	4+	C10:(C3^2:C4)	360,150
C₁₀⋊₂(C₃²⋊C₄) = C₂×C₃²⋊Dic₅	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Aut C₁₀	60	4	C10:2(C3^2:C4)	360,149

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃²⋊C₄) = (C₃×C₆).F₅	φ: C₃²⋊C₄/C₃² → C₄ ⊆ Aut C₁₀	120	4-	C10.(C3^2:C4)	360,57
C₁₀.₂(C₃²⋊C₄) = (C₃×C₁₅)⋊₉C₈	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Aut C₁₀	120	4	C10.2(C3^2:C4)	360,56
C₁₀.₃(C₃²⋊C₄) = C₅×C₃²⋊₂C₈	central extension (φ=1)	120	4	C10.3(C3^2:C4)	360,55

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Extensions 1→N→G→Q→1 with N=C10 and Q=C32⋊C4