Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²xD₅

Direct product G=NxQ with N=C₂² and Q=C₂²xD₅

		d	ρ	Label	ID
D₅xC₂⁴		80		D5xC2^4	160,237

Semidirect products G=N:Q with N=C₂² and Q=C₂²xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂²xD₅) = C₂xD₄xD₅	φ: C₂²xD₅/D₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:1(C2^2xD5)	160,217
C₂²:₂(C₂²xD₅) = C₂²xC₅:D₄	φ: C₂²xD₅/C₂xC₁₀ → C₂ ⊆ Aut C₂²	80		C2^2:2(C2^2xD5)	160,227

Non-split extensions G=N.Q with N=C₂² and Q=C₂²xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²xD₅) = C₂xD₄:₂D₅	φ: C₂²xD₅/D₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.1(C2^2xD5)	160,218
C₂².₂(C₂²xD₅) = D₅xC₄oD₄	φ: C₂²xD₅/D₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.2(C2^2xD5)	160,223
C₂².₃(C₂²xD₅) = D₄:₈D₁₀	φ: C₂²xD₅/D₁₀ → C₂ ⊆ Aut C₂²	40	4+	C2^2.3(C2^2xD5)	160,224
C₂².₄(C₂²xD₅) = D₄.₁₀D₁₀	φ: C₂²xD₅/D₁₀ → C₂ ⊆ Aut C₂²	80	4-	C2^2.4(C2^2xD5)	160,225
C₂².₅(C₂²xD₅) = C₂xC₄oD₂₀	φ: C₂²xD₅/C₂xC₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.5(C2^2xD5)	160,216
C₂².₆(C₂²xD₅) = D₄:₆D₁₀	φ: C₂²xD₅/C₂xC₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.6(C2^2xD5)	160,219
C₂².₇(C₂²xD₅) = Q₈.₁₀D₁₀	φ: C₂²xD₅/C₂xC₁₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.7(C2^2xD5)	160,222
C₂².₈(C₂²xD₅) = C₄xDic₁₀	central extension (φ=1)	160		C2^2.8(C2^2xD5)	160,89
C₂².₉(C₂²xD₅) = D₅xC₄²	central extension (φ=1)	80		C2^2.9(C2^2xD5)	160,92
C₂².₁₀(C₂²xD₅) = C₄²:D₅	central extension (φ=1)	80		C2^2.10(C2^2xD5)	160,93
C₂².₁₁(C₂²xD₅) = C₄xD₂₀	central extension (φ=1)	80		C2^2.11(C2^2xD5)	160,94
C₂².₁₂(C₂²xD₅) = C₂³.₁₁D₁₀	central extension (φ=1)	80		C2^2.12(C2^2xD5)	160,98
C₂².₁₃(C₂²xD₅) = D₅xC₂²:C₄	central extension (φ=1)	40		C2^2.13(C2^2xD5)	160,101
C₂².₁₄(C₂²xD₅) = Dic₅:₄D₄	central extension (φ=1)	80		C2^2.14(C2^2xD5)	160,102
C₂².₁₅(C₂²xD₅) = Dic₅:₃Q₈	central extension (φ=1)	160		C2^2.15(C2^2xD5)	160,108
C₂².₁₆(C₂²xD₅) = D₅xC₄:C₄	central extension (φ=1)	80		C2^2.16(C2^2xD5)	160,112
C₂².₁₇(C₂²xD₅) = C₄:C₄:₇D₅	central extension (φ=1)	80		C2^2.17(C2^2xD5)	160,113
C₂².₁₈(C₂²xD₅) = D₂₀:₈C₄	central extension (φ=1)	80		C2^2.18(C2^2xD5)	160,114
C₂².₁₉(C₂²xD₅) = C₂xC₄xDic₅	central extension (φ=1)	160		C2^2.19(C2^2xD5)	160,143
C₂².₂₀(C₂²xD₅) = C₂xC₁₀.D₄	central extension (φ=1)	160		C2^2.20(C2^2xD5)	160,144
C₂².₂₁(C₂²xD₅) = C₂xC₄:Dic₅	central extension (φ=1)	160		C2^2.21(C2^2xD5)	160,146
C₂².₂₂(C₂²xD₅) = C₂³.₂₁D₁₀	central extension (φ=1)	80		C2^2.22(C2^2xD5)	160,147
C₂².₂₃(C₂²xD₅) = C₂xD₁₀:C₄	central extension (φ=1)	80		C2^2.23(C2^2xD5)	160,148
C₂².₂₄(C₂²xD₅) = C₄xC₅:D₄	central extension (φ=1)	80		C2^2.24(C2^2xD5)	160,149
C₂².₂₅(C₂²xD₅) = D₄xDic₅	central extension (φ=1)	80		C2^2.25(C2^2xD5)	160,155
C₂².₂₆(C₂²xD₅) = Q₈xDic₅	central extension (φ=1)	160		C2^2.26(C2^2xD5)	160,166
C₂².₂₇(C₂²xD₅) = C₂xC₂³.D₅	central extension (φ=1)	80		C2^2.27(C2^2xD5)	160,173
C₂².₂₈(C₂²xD₅) = C₂²xDic₁₀	central extension (φ=1)	160		C2^2.28(C2^2xD5)	160,213
C₂².₂₉(C₂²xD₅) = D₅xC₂²xC₄	central extension (φ=1)	80		C2^2.29(C2^2xD5)	160,214
C₂².₃₀(C₂²xD₅) = C₂²xD₂₀	central extension (φ=1)	80		C2^2.30(C2^2xD5)	160,215
C₂².₃₁(C₂²xD₅) = C₂xQ₈xD₅	central extension (φ=1)	80		C2^2.31(C2^2xD5)	160,220
C₂².₃₂(C₂²xD₅) = C₂xQ₈:₂D₅	central extension (φ=1)	80		C2^2.32(C2^2xD5)	160,221
C₂².₃₃(C₂²xD₅) = C₂³xDic₅	central extension (φ=1)	160		C2^2.33(C2^2xD5)	160,226
C₂².₃₄(C₂²xD₅) = C₂₀:₂Q₈	central stem extension (φ=1)	160		C2^2.34(C2^2xD5)	160,90
C₂².₃₅(C₂²xD₅) = C₂₀.₆Q₈	central stem extension (φ=1)	160		C2^2.35(C2^2xD5)	160,91
C₂².₃₆(C₂²xD₅) = C₂₀:₄D₄	central stem extension (φ=1)	80		C2^2.36(C2^2xD5)	160,95
C₂².₃₇(C₂²xD₅) = C₄.D₂₀	central stem extension (φ=1)	80		C2^2.37(C2^2xD5)	160,96
C₂².₃₈(C₂²xD₅) = C₄²:₂D₅	central stem extension (φ=1)	80		C2^2.38(C2^2xD5)	160,97
C₂².₃₉(C₂²xD₅) = Dic₅.₁₄D₄	central stem extension (φ=1)	80		C2^2.39(C2^2xD5)	160,99
C₂².₄₀(C₂²xD₅) = C₂³.D₁₀	central stem extension (φ=1)	80		C2^2.40(C2^2xD5)	160,100
C₂².₄₁(C₂²xD₅) = C₂²:D₂₀	central stem extension (φ=1)	40		C2^2.41(C2^2xD5)	160,103
C₂².₄₂(C₂²xD₅) = D₁₀.₁₂D₄	central stem extension (φ=1)	80		C2^2.42(C2^2xD5)	160,104
C₂².₄₃(C₂²xD₅) = D₁₀:D₄	central stem extension (φ=1)	80		C2^2.43(C2^2xD5)	160,105
C₂².₄₄(C₂²xD₅) = Dic₅.₅D₄	central stem extension (φ=1)	80		C2^2.44(C2^2xD5)	160,106
C₂².₄₅(C₂²xD₅) = C₂².D₂₀	central stem extension (φ=1)	80		C2^2.45(C2^2xD5)	160,107
C₂².₄₆(C₂²xD₅) = C₂₀:Q₈	central stem extension (φ=1)	160		C2^2.46(C2^2xD5)	160,109
C₂².₄₇(C₂²xD₅) = Dic₅.Q₈	central stem extension (φ=1)	160		C2^2.47(C2^2xD5)	160,110
C₂².₄₈(C₂²xD₅) = C₄.Dic₁₀	central stem extension (φ=1)	160		C2^2.48(C2^2xD5)	160,111
C₂².₄₉(C₂²xD₅) = D₁₀.₁₃D₄	central stem extension (φ=1)	80		C2^2.49(C2^2xD5)	160,115
C₂².₅₀(C₂²xD₅) = C₄:D₂₀	central stem extension (φ=1)	80		C2^2.50(C2^2xD5)	160,116
C₂².₅₁(C₂²xD₅) = D₁₀:Q₈	central stem extension (φ=1)	80		C2^2.51(C2^2xD5)	160,117
C₂².₅₂(C₂²xD₅) = D₁₀:₂Q₈	central stem extension (φ=1)	80		C2^2.52(C2^2xD5)	160,118
C₂².₅₃(C₂²xD₅) = C₄:C₄:D₅	central stem extension (φ=1)	80		C2^2.53(C2^2xD5)	160,119
C₂².₅₄(C₂²xD₅) = C₂₀.₄₈D₄	central stem extension (φ=1)	80		C2^2.54(C2^2xD5)	160,145
C₂².₅₅(C₂²xD₅) = C₂³.₂₃D₁₀	central stem extension (φ=1)	80		C2^2.55(C2^2xD5)	160,150
C₂².₅₆(C₂²xD₅) = C₂₀:₇D₄	central stem extension (φ=1)	80		C2^2.56(C2^2xD5)	160,151
C₂².₅₇(C₂²xD₅) = C₂³.₁₈D₁₀	central stem extension (φ=1)	80		C2^2.57(C2^2xD5)	160,156
C₂².₅₈(C₂²xD₅) = C₂₀.₁₇D₄	central stem extension (φ=1)	80		C2^2.58(C2^2xD5)	160,157
C₂².₅₉(C₂²xD₅) = C₂³:D₁₀	central stem extension (φ=1)	40		C2^2.59(C2^2xD5)	160,158
C₂².₆₀(C₂²xD₅) = C₂₀:₂D₄	central stem extension (φ=1)	80		C2^2.60(C2^2xD5)	160,159
C₂².₆₁(C₂²xD₅) = Dic₅:D₄	central stem extension (φ=1)	80		C2^2.61(C2^2xD5)	160,160
C₂².₆₂(C₂²xD₅) = C₂₀:D₄	central stem extension (φ=1)	80		C2^2.62(C2^2xD5)	160,161
C₂².₆₃(C₂²xD₅) = Dic₅:Q₈	central stem extension (φ=1)	160		C2^2.63(C2^2xD5)	160,165
C₂².₆₄(C₂²xD₅) = D₁₀:₃Q₈	central stem extension (φ=1)	80		C2^2.64(C2^2xD5)	160,167
C₂².₆₅(C₂²xD₅) = C₂₀.₂₃D₄	central stem extension (φ=1)	80		C2^2.65(C2^2xD5)	160,168
C₂².₆₆(C₂²xD₅) = C₂⁴:₂D₅	central stem extension (φ=1)	40		C2^2.66(C2^2xD5)	160,174

Extensions 1→N→G→Q→1 with N=C22 and Q=C22xD5

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²xD₅