Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₄²

Direct product G=N×Q with N=C₁₀ and Q=C₄²

		d	ρ	Label	ID
C₂×C₄×C₂₀		160		C2xC4xC20	160,175

Semidirect products G=N:Q with N=C₁₀ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊C₄² = C₂×C₄×F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₁₀	40		C10:C4^2	160,203
C₁₀⋊₂C₄² = C₂×C₄×Dic₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10:2C4^2	160,143

Non-split extensions G=N.Q with N=C₁₀ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁C₄² = C₈×F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₁₀	40	4	C10.1C4^2	160,66
C₁₀.₂C₄² = C₈⋊F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₁₀	40	4	C10.2C4^2	160,67
C₁₀.₃C₄² = C₄×C₅⋊C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₁₀	160		C10.3C4^2	160,75
C₁₀.₄C₄² = C₁₀.C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₁₀	160		C10.4C4^2	160,77
C₁₀.₅C₄² = D₁₀.₃Q₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₁₀	40		C10.5C4^2	160,81
C₁₀.₆C₄² = C₄×C₅⋊₂C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10.6C4^2	160,9
C₁₀.₇C₄² = C₄².D₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10.7C4^2	160,10
C₁₀.₈C₄² = C₈×Dic₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10.8C4^2	160,20
C₁₀.₉C₄² = C₄₀⋊₈C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10.9C4^2	160,22
C₁₀.₁₀C₄² = C₁₀.₁₀C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10.10C4^2	160,38
C₁₀.₁₁C₄² = C₅×C₂.C₄²	central extension (φ=1)	160		C10.11C4^2	160,45
C₁₀.₁₂C₄² = C₅×C₈⋊C₄	central extension (φ=1)	160		C10.12C4^2	160,47

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