Extensions 1→N→G→Q→1 with N=C₅² and Q=C₂×C₈

Direct product G=N×Q with N=C₅² and Q=C₂×C₈

		d	ρ	Label	ID
C₁₀×C₄₀		400		C10xC40	400,111

Semidirect products G=N:Q with N=C₅² and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊₁(C₂×C₈) = C₂×C₅²⋊C₈	φ: C₂×C₈/C₂ → C₈ ⊆ Aut C₅²	20	8+	C5^2:1(C2xC8)	400,208
C₅²⋊₂(C₂×C₈) = D₅×C₅⋊C₈	φ: C₂×C₈/C₂ → C₂×C₄ ⊆ Aut C₅²	80	8-	C5^2:2(C2xC8)	400,120
C₅²⋊₃(C₂×C₈) = Dic₅.₄F₅	φ: C₂×C₈/C₂ → C₂×C₄ ⊆ Aut C₅²	40	8+	C5^2:3(C2xC8)	400,121
C₅²⋊₄(C₂×C₈) = D₁₀.₂F₅	φ: C₂×C₈/C₂ → C₂×C₄ ⊆ Aut C₅²	80	8-	C5^2:4(C2xC8)	400,127
C₅²⋊₅(C₂×C₈) = C₅×D₅⋊C₈	φ: C₂×C₈/C₄ → C₄ ⊆ Aut C₅²	80	4	C5^2:5(C2xC8)	400,135
C₅²⋊₆(C₂×C₈) = C₂₀.₁₄F₅	φ: C₂×C₈/C₄ → C₄ ⊆ Aut C₅²	80	4	C5^2:6(C2xC8)	400,142
C₅²⋊₇(C₂×C₈) = C₂₀.F₅	φ: C₂×C₈/C₄ → C₄ ⊆ Aut C₅²	200		C5^2:7(C2xC8)	400,149
C₅²⋊₈(C₂×C₈) = C₂₀.₁₁F₅	φ: C₂×C₈/C₄ → C₄ ⊆ Aut C₅²	40	4	C5^2:8(C2xC8)	400,156
C₅²⋊₉(C₂×C₈) = D₅×C₅⋊₂C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₅²	80	4	C5^2:9(C2xC8)	400,60
C₅²⋊₁₀(C₂×C₈) = C₂₀.₂₉D₁₀	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₅²	40	4	C5^2:10(C2xC8)	400,61
C₅²⋊₁₁(C₂×C₈) = C₁₀×C₅⋊C₈	φ: C₂×C₈/C₂² → C₄ ⊆ Aut C₅²	80		C5^2:11(C2xC8)	400,139
C₅²⋊₁₂(C₂×C₈) = C₂×C₅²⋊₃C₈	φ: C₂×C₈/C₂² → C₄ ⊆ Aut C₅²	80		C5^2:12(C2xC8)	400,146
C₅²⋊₁₃(C₂×C₈) = C₂×C₅²⋊₄C₈	φ: C₂×C₈/C₂² → C₄ ⊆ Aut C₅²	400		C5^2:13(C2xC8)	400,153
C₅²⋊₁₄(C₂×C₈) = C₂×C₅²⋊₅C₈	φ: C₂×C₈/C₂² → C₄ ⊆ Aut C₅²	80		C5^2:14(C2xC8)	400,160
C₅²⋊₁₅(C₂×C₈) = D₅×C₄₀	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₅²	80	2	C5^2:15(C2xC8)	400,76
C₅²⋊₁₆(C₂×C₈) = C₈×C₅⋊D₅	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₅²	200		C5^2:16(C2xC8)	400,92
C₅²⋊₁₇(C₂×C₈) = C₁₀×C₅⋊₂C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₅²	80		C5^2:17(C2xC8)	400,81
C₅²⋊₁₈(C₂×C₈) = C₂×C₅²⋊₇C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₅²	400		C5^2:18(C2xC8)	400,97

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