Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂⁵

Direct product G=N×Q with N=C₁₀ and Q=C₂⁵

		d	ρ	Label	ID
C₂⁵×C₁₀		320		C2^5xC10	320,1640

Semidirect products G=N:Q with N=C₁₀ and Q=C₂⁵

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊C₂⁵ = D₅×C₂⁵	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10:C2^5	320,1639

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂⁵

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁C₂⁵ = C₂³×Dic₁₀	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	320		C10.1C2^5	320,1608
C₁₀.₂C₂⁵ = D₅×C₂³×C₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.2C2^5	320,1609
C₁₀.₃C₂⁵ = C₂³×D₂₀	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.3C2^5	320,1610
C₁₀.₄C₂⁵ = C₂²×C₄○D₂₀	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.4C2^5	320,1611
C₁₀.₅C₂⁵ = C₂²×D₄×D₅	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80		C10.5C2^5	320,1612
C₁₀.₆C₂⁵ = C₂²×D₄⋊₂D₅	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.6C2^5	320,1613
C₁₀.₇C₂⁵ = C₂×D₄⋊₆D₁₀	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80		C10.7C2^5	320,1614
C₁₀.₈C₂⁵ = C₂²×Q₈×D₅	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.8C2^5	320,1615
C₁₀.₉C₂⁵ = C₂²×Q₈⋊₂D₅	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.9C2^5	320,1616
C₁₀.₁₀C₂⁵ = C₂×Q₈.₁₀D₁₀	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.10C2^5	320,1617
C₁₀.₁₁C₂⁵ = C₂×D₅×C₄○D₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80		C10.11C2^5	320,1618
C₁₀.₁₂C₂⁵ = C₂×D₄⋊₈D₁₀	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80		C10.12C2^5	320,1619
C₁₀.₁₃C₂⁵ = C₂×D₄.₁₀D₁₀	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.13C2^5	320,1620
C₁₀.₁₄C₂⁵ = C₁₀.C₂⁵	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80	4	C10.14C2^5	320,1621
C₁₀.₁₅C₂⁵ = D₅×2₊¹⁺⁴	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	40	8+	C10.15C2^5	320,1622
C₁₀.₁₆C₂⁵ = D₂₀.₃₇C₂³	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80	8-	C10.16C2^5	320,1623
C₁₀.₁₇C₂⁵ = D₅×2_-¹⁺⁴	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80	8-	C10.17C2^5	320,1624
C₁₀.₁₈C₂⁵ = D₂₀.₃₉C₂³	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	80	8+	C10.18C2^5	320,1625
C₁₀.₁₉C₂⁵ = C₂⁴×Dic₅	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	320		C10.19C2^5	320,1626
C₁₀.₂₀C₂⁵ = C₂³×C₅⋊D₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₀	160		C10.20C2^5	320,1627
C₁₀.₂₁C₂⁵ = D₄×C₂²×C₁₀	central extension (φ=1)	160		C10.21C2^5	320,1629
C₁₀.₂₂C₂⁵ = Q₈×C₂²×C₁₀	central extension (φ=1)	320		C10.22C2^5	320,1630
C₁₀.₂₃C₂⁵ = C₄○D₄×C₂×C₁₀	central extension (φ=1)	160		C10.23C2^5	320,1631
C₁₀.₂₄C₂⁵ = C₁₀×2₊¹⁺⁴	central extension (φ=1)	80		C10.24C2^5	320,1632
C₁₀.₂₅C₂⁵ = C₁₀×2_-¹⁺⁴	central extension (φ=1)	160		C10.25C2^5	320,1633
C₁₀.₂₆C₂⁵ = C₅×C₂.C₂⁵	central extension (φ=1)	80	4	C10.26C2^5	320,1634

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Extensions 1→N→G→Q→1 with N=C10 and Q=C25

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂⁵