# Extensions 1→N→G→Q→1 with N=C102 and Q=C22

Direct product G=N×Q with N=C102 and Q=C22
dρLabelID
C22×C102400C2^2xC10^2400,221

Semidirect products G=N:Q with N=C102 and Q=C22
extensionφ:Q→Aut NdρLabelID
C1021C22 = D5×C5⋊D4φ: C22/C1C22 ⊆ Aut C102404C10^2:1C2^2400,179
C1022C22 = D10⋊D10φ: C22/C1C22 ⊆ Aut C102204+C10^2:2C2^2400,180
C1023C22 = C5×D4×D5φ: C22/C1C22 ⊆ Aut C102404C10^2:3C2^2400,185
C1024C22 = D4×C5⋊D5φ: C22/C1C22 ⊆ Aut C102100C10^2:4C2^2400,195
C1025C22 = C22×D52φ: C22/C1C22 ⊆ Aut C10240C10^2:5C2^2400,218
C1026C22 = D4×C5×C10φ: C22/C2C2 ⊆ Aut C102200C10^2:6C2^2400,202
C1027C22 = C10×C5⋊D4φ: C22/C2C2 ⊆ Aut C10240C10^2:7C2^2400,190
C1028C22 = C2×C527D4φ: C22/C2C2 ⊆ Aut C102200C10^2:8C2^2400,200
C1029C22 = D5×C22×C10φ: C22/C2C2 ⊆ Aut C10280C10^2:9C2^2400,219
C10210C22 = C23×C5⋊D5φ: C22/C2C2 ⊆ Aut C102200C10^2:10C2^2400,220

Non-split extensions G=N.Q with N=C102 and Q=C22
extensionφ:Q→Aut NdρLabelID
C102.1C22 = Dic52φ: C22/C1C22 ⊆ Aut C10280C10^2.1C2^2400,71
C102.2C22 = D10⋊Dic5φ: C22/C1C22 ⊆ Aut C10280C10^2.2C2^2400,72
C102.3C22 = C10.D20φ: C22/C1C22 ⊆ Aut C10240C10^2.3C2^2400,73
C102.4C22 = Dic5⋊Dic5φ: C22/C1C22 ⊆ Aut C10280C10^2.4C2^2400,74
C102.5C22 = C10.Dic10φ: C22/C1C22 ⊆ Aut C10280C10^2.5C2^2400,75
C102.6C22 = C2×D5×Dic5φ: C22/C1C22 ⊆ Aut C10280C10^2.6C2^2400,172
C102.7C22 = Dic5.D10φ: C22/C1C22 ⊆ Aut C102404C10^2.7C2^2400,173
C102.8C22 = D10.4D10φ: C22/C1C22 ⊆ Aut C102404-C10^2.8C2^2400,174
C102.9C22 = C2×Dic52D5φ: C22/C1C22 ⊆ Aut C10240C10^2.9C2^2400,175
C102.10C22 = C2×C522D4φ: C22/C1C22 ⊆ Aut C10280C10^2.10C2^2400,176
C102.11C22 = C2×C5⋊D20φ: C22/C1C22 ⊆ Aut C10240C10^2.11C2^2400,177
C102.12C22 = C2×C522Q8φ: C22/C1C22 ⊆ Aut C10280C10^2.12C2^2400,178
C102.13C22 = C5×D42D5φ: C22/C1C22 ⊆ Aut C102404C10^2.13C2^2400,186
C102.14C22 = C20.D10φ: C22/C1C22 ⊆ Aut C102200C10^2.14C2^2400,196
C102.15C22 = C4○D4×C52φ: C22/C2C2 ⊆ Aut C102200C10^2.15C2^2400,204
C102.16C22 = Dic5×C20φ: C22/C2C2 ⊆ Aut C10280C10^2.16C2^2400,83
C102.17C22 = C5×C10.D4φ: C22/C2C2 ⊆ Aut C10280C10^2.17C2^2400,84
C102.18C22 = C5×C4⋊Dic5φ: C22/C2C2 ⊆ Aut C10280C10^2.18C2^2400,85
C102.19C22 = C5×D10⋊C4φ: C22/C2C2 ⊆ Aut C10280C10^2.19C2^2400,86
C102.20C22 = C5×C23.D5φ: C22/C2C2 ⊆ Aut C10240C10^2.20C2^2400,91
C102.21C22 = C4×C526C4φ: C22/C2C2 ⊆ Aut C102400C10^2.21C2^2400,99
C102.22C22 = C102.22C22φ: C22/C2C2 ⊆ Aut C102400C10^2.22C2^2400,100
C102.23C22 = C203Dic5φ: C22/C2C2 ⊆ Aut C102400C10^2.23C2^2400,101
C102.24C22 = C10.11D20φ: C22/C2C2 ⊆ Aut C102200C10^2.24C2^2400,102
C102.25C22 = C10211C4φ: C22/C2C2 ⊆ Aut C102200C10^2.25C2^2400,107
C102.26C22 = C10×Dic10φ: C22/C2C2 ⊆ Aut C10280C10^2.26C2^2400,181
C102.27C22 = D5×C2×C20φ: C22/C2C2 ⊆ Aut C10280C10^2.27C2^2400,182
C102.28C22 = C10×D20φ: C22/C2C2 ⊆ Aut C10280C10^2.28C2^2400,183
C102.29C22 = C5×C4○D20φ: C22/C2C2 ⊆ Aut C102402C10^2.29C2^2400,184
C102.30C22 = Dic5×C2×C10φ: C22/C2C2 ⊆ Aut C10280C10^2.30C2^2400,189
C102.31C22 = C2×C524Q8φ: C22/C2C2 ⊆ Aut C102400C10^2.31C2^2400,191
C102.32C22 = C2×C4×C5⋊D5φ: C22/C2C2 ⊆ Aut C102200C10^2.32C2^2400,192
C102.33C22 = C2×C20⋊D5φ: C22/C2C2 ⊆ Aut C102200C10^2.33C2^2400,193
C102.34C22 = C20.50D10φ: C22/C2C2 ⊆ Aut C102200C10^2.34C2^2400,194
C102.35C22 = C22×C526C4φ: C22/C2C2 ⊆ Aut C102400C10^2.35C2^2400,199
C102.36C22 = C22⋊C4×C52central extension (φ=1)200C10^2.36C2^2400,109
C102.37C22 = C4⋊C4×C52central extension (φ=1)400C10^2.37C2^2400,110
C102.38C22 = Q8×C5×C10central extension (φ=1)400C10^2.38C2^2400,203

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