Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂²

Direct product G=N×Q with N=C₁₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₀		40		C2^2xC10	40,14

Semidirect products G=N:Q with N=C₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊C₂² = C₂²×D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀	20		C10:C2^2	40,13

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁C₂² = Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀	40	2-	C10.1C2^2	40,4
C₁₀.₂C₂² = C₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀	20	2	C10.2C2^2	40,5
C₁₀.₃C₂² = D₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀	20	2+	C10.3C2^2	40,6
C₁₀.₄C₂² = C₂×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀	40		C10.4C2^2	40,7
C₁₀.₅C₂² = C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀	20	2	C10.5C2^2	40,8
C₁₀.₆C₂² = C₅×D₄	central extension (φ=1)	20	2	C10.6C2^2	40,10
C₁₀.₇C₂² = C₅×Q₈	central extension (φ=1)	40	2	C10.7C2^2	40,11

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