Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂xF₅

Direct product G=NxQ with N=C₁₀ and Q=C₂xF₅

		d	ρ	Label	ID
F₅xC₂xC₁₀		80		F5xC2xC10	400,214

Semidirect products G=N:Q with N=C₁₀ and Q=C₂xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:₁(C₂xF₅) = C₂xD₅:F₅	φ: C₂xF₅/D₅ → C₄ ⊆ Aut C₁₀	20	8+	C10:1(C2xF5)	400,210
C₁₀:₂(C₂xF₅) = C₂²xC₅:F₅	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100		C10:2(C2xF5)	400,216
C₁₀:₃(C₂xF₅) = C₂²xC₅²:C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	40		C10:3(C2xF5)	400,217
C₁₀:₄(C₂xF₅) = C₂xD₅xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	40	8+	C10:4(C2xF5)	400,209
C₁₀:₅(C₂xF₅) = C₂²xD₅.D₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	80		C10:5(C2xF5)	400,215

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂xF₅) = C₅²:₃C₄²	φ: C₂xF₅/D₅ → C₄ ⊆ Aut C₁₀	20	8+	C10.1(C2xF5)	400,124
C₁₀.₂(C₂xF₅) = D₁₀:F₅	φ: C₂xF₅/D₅ → C₄ ⊆ Aut C₁₀	20	8+	C10.2(C2xF5)	400,125
C₁₀.₃(C₂xF₅) = Dic₅:F₅	φ: C₂xF₅/D₅ → C₄ ⊆ Aut C₁₀	20	8+	C10.3(C2xF5)	400,126
C₁₀.₄(C₂xF₅) = D₁₀.₂F₅	φ: C₂xF₅/D₅ → C₄ ⊆ Aut C₁₀	80	8-	C10.4(C2xF5)	400,127
C₁₀.₅(C₂xF₅) = C₅²:₄M₄(2)	φ: C₂xF₅/D₅ → C₄ ⊆ Aut C₁₀	80	8-	C10.5(C2xF5)	400,128
C₁₀.₆(C₂xF₅) = D₂₅:C₈	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	200	4	C10.6(C2xF5)	400,28
C₁₀.₇(C₂xF₅) = C₁₀₀.C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	200	4	C10.7(C2xF5)	400,29
C₁₀.₈(C₂xF₅) = C₄xC₂₅:C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100	4	C10.8(C2xF5)	400,30
C₁₀.₉(C₂xF₅) = C₁₀₀:C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100	4	C10.9(C2xF5)	400,31
C₁₀.₁₀(C₂xF₅) = C₂xC₂₅:C₈	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	400		C10.10(C2xF5)	400,32
C₁₀.₁₁(C₂xF₅) = C₂₅:M₄(2)	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	200	4-	C10.11(C2xF5)	400,33
C₁₀.₁₂(C₂xF₅) = D₂₅.D₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100	4+	C10.12(C2xF5)	400,34
C₁₀.₁₃(C₂xF₅) = C₂²xC₂₅:C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100		C10.13(C2xF5)	400,53
C₁₀.₁₄(C₂xF₅) = C₂₀.F₅	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	200		C10.14(C2xF5)	400,149
C₁₀.₁₅(C₂xF₅) = C₅²:₇M₄(2)	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	200		C10.15(C2xF5)	400,150
C₁₀.₁₆(C₂xF₅) = C₄xC₅:F₅	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100		C10.16(C2xF5)	400,151
C₁₀.₁₇(C₂xF₅) = C₂₀:F₅	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100		C10.17(C2xF5)	400,152
C₁₀.₁₈(C₂xF₅) = C₂xC₅²:₄C₈	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	400		C10.18(C2xF5)	400,153
C₁₀.₁₉(C₂xF₅) = C₅²:₁₃M₄(2)	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	200		C10.19(C2xF5)	400,154
C₁₀.₂₀(C₂xF₅) = C₁₀²:C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	100		C10.20(C2xF5)	400,155
C₁₀.₂₁(C₂xF₅) = C₂₀.₁₁F₅	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	40	4	C10.21(C2xF5)	400,156
C₁₀.₂₂(C₂xF₅) = C₅²:₈M₄(2)	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	40	4	C10.22(C2xF5)	400,157
C₁₀.₂₃(C₂xF₅) = C₄xC₅²:C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	40	4	C10.23(C2xF5)	400,158
C₁₀.₂₄(C₂xF₅) = C₂₀:₂F₅	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	40	4	C10.24(C2xF5)	400,159
C₁₀.₂₅(C₂xF₅) = C₂xC₅²:₅C₈	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	80		C10.25(C2xF5)	400,160
C₁₀.₂₆(C₂xF₅) = C₅²:₁₄M₄(2)	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	40	4-	C10.26(C2xF5)	400,161
C₁₀.₂₇(C₂xF₅) = C₁₀²:₄C₄	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₁₀	20	4+	C10.27(C2xF5)	400,162
C₁₀.₂₈(C₂xF₅) = Dic₅xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	80	8-	C10.28(C2xF5)	400,117
C₁₀.₂₉(C₂xF₅) = D₅.D₂₀	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	40	8+	C10.29(C2xF5)	400,118
C₁₀.₃₀(C₂xF₅) = D₅.Dic₁₀	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	80	8-	C10.30(C2xF5)	400,119
C₁₀.₃₁(C₂xF₅) = D₅xC₅:C₈	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	80	8-	C10.31(C2xF5)	400,120
C₁₀.₃₂(C₂xF₅) = Dic₅.₄F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	40	8+	C10.32(C2xF5)	400,121
C₁₀.₃₃(C₂xF₅) = D₁₀.F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	80	8-	C10.33(C2xF5)	400,122
C₁₀.₃₄(C₂xF₅) = Dic₅.F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₀	40	8+	C10.34(C2xF5)	400,123
C₁₀.₃₅(C₂xF₅) = C₂₀.₁₄F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	80	4	C10.35(C2xF5)	400,142
C₁₀.₃₆(C₂xF₅) = C₂₀.₁₂F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	80	4	C10.36(C2xF5)	400,143
C₁₀.₃₇(C₂xF₅) = C₄xD₅.D₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	80	4	C10.37(C2xF5)	400,144
C₁₀.₃₈(C₂xF₅) = C₂₀:₅F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	80	4	C10.38(C2xF5)	400,145
C₁₀.₃₉(C₂xF₅) = C₂xC₅²:₃C₈	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	80		C10.39(C2xF5)	400,146
C₁₀.₄₀(C₂xF₅) = C₁₀².C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	40	4	C10.40(C2xF5)	400,147
C₁₀.₄₁(C₂xF₅) = D₁₀.D₁₀	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₀	40	4	C10.41(C2xF5)	400,148
C₁₀.₄₂(C₂xF₅) = C₅xD₅:C₈	central extension (φ=1)	80	4	C10.42(C2xF5)	400,135
C₁₀.₄₃(C₂xF₅) = C₅xC₄.F₅	central extension (φ=1)	80	4	C10.43(C2xF5)	400,136
C₁₀.₄₄(C₂xF₅) = C₂₀xF₅	central extension (φ=1)	80	4	C10.44(C2xF5)	400,137
C₁₀.₄₅(C₂xF₅) = C₅xC₄:F₅	central extension (φ=1)	80	4	C10.45(C2xF5)	400,138
C₁₀.₄₆(C₂xF₅) = C₁₀xC₅:C₈	central extension (φ=1)	80		C10.46(C2xF5)	400,139
C₁₀.₄₇(C₂xF₅) = C₅xC₂².F₅	central extension (φ=1)	40	4	C10.47(C2xF5)	400,140
C₁₀.₄₈(C₂xF₅) = C₅xC₂²:F₅	central extension (φ=1)	40	4	C10.48(C2xF5)	400,141

Extensions 1→N→G→Q→1 with N=C10 and Q=C2xF5

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂xF₅