# Extensions 1→N→G→Q→1 with N=C102 and Q=C4

Direct product G=N×Q with N=C102 and Q=C4
dρLabelID
C2×C10×C20400C2xC10xC20400,201

Semidirect products G=N:Q with N=C102 and Q=C4
extensionφ:Q→Aut NdρLabelID
C1021C4 = C5×C22⋊F5φ: C4/C1C4 ⊆ Aut C102404C10^2:1C4400,141
C1022C4 = D10.D10φ: C4/C1C4 ⊆ Aut C102404C10^2:2C4400,148
C1023C4 = C102⋊C4φ: C4/C1C4 ⊆ Aut C102100C10^2:3C4400,155
C1024C4 = C1024C4φ: C4/C1C4 ⊆ Aut C102204+C10^2:4C4400,162
C1025C4 = F5×C2×C10φ: C4/C1C4 ⊆ Aut C10280C10^2:5C4400,214
C1026C4 = C22×D5.D5φ: C4/C1C4 ⊆ Aut C10280C10^2:6C4400,215
C1027C4 = C22×C5⋊F5φ: C4/C1C4 ⊆ Aut C102100C10^2:7C4400,216
C1028C4 = C22×C52⋊C4φ: C4/C1C4 ⊆ Aut C10240C10^2:8C4400,217
C1029C4 = C22⋊C4×C52φ: C4/C2C2 ⊆ Aut C102200C10^2:9C4400,109
C10210C4 = C5×C23.D5φ: C4/C2C2 ⊆ Aut C10240C10^2:10C4400,91
C10211C4 = C10211C4φ: C4/C2C2 ⊆ Aut C102200C10^2:11C4400,107
C10212C4 = Dic5×C2×C10φ: C4/C2C2 ⊆ Aut C10280C10^2:12C4400,189
C10213C4 = C22×C526C4φ: C4/C2C2 ⊆ Aut C102400C10^2:13C4400,199

Non-split extensions G=N.Q with N=C102 and Q=C4
extensionφ:Q→Aut NdρLabelID
C102.1C4 = C10×C5⋊C8φ: C4/C1C4 ⊆ Aut C10280C10^2.1C4400,139
C102.2C4 = C5×C22.F5φ: C4/C1C4 ⊆ Aut C102404C10^2.2C4400,140
C102.3C4 = C2×C523C8φ: C4/C1C4 ⊆ Aut C10280C10^2.3C4400,146
C102.4C4 = C102.C4φ: C4/C1C4 ⊆ Aut C102404C10^2.4C4400,147
C102.5C4 = C2×C524C8φ: C4/C1C4 ⊆ Aut C102400C10^2.5C4400,153
C102.6C4 = C5213M4(2)φ: C4/C1C4 ⊆ Aut C102200C10^2.6C4400,154
C102.7C4 = C2×C525C8φ: C4/C1C4 ⊆ Aut C10280C10^2.7C4400,160
C102.8C4 = C5214M4(2)φ: C4/C1C4 ⊆ Aut C102404-C10^2.8C4400,161
C102.9C4 = M4(2)×C52φ: C4/C2C2 ⊆ Aut C102200C10^2.9C4400,112
C102.10C4 = C10×C52C8φ: C4/C2C2 ⊆ Aut C10280C10^2.10C4400,81
C102.11C4 = C5×C4.Dic5φ: C4/C2C2 ⊆ Aut C102402C10^2.11C4400,82
C102.12C4 = C2×C527C8φ: C4/C2C2 ⊆ Aut C102400C10^2.12C4400,97
C102.13C4 = C20.59D10φ: C4/C2C2 ⊆ Aut C102200C10^2.13C4400,98

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