# Extensions 1→N→G→Q→1 with N=C52⋊6C4 and Q=C22

Direct product G=N×Q with N=C526C4 and Q=C22
dρLabelID
C22×C526C4400C2^2xC5^2:6C4400,199

Semidirect products G=N:Q with N=C526C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C526C4⋊C22 = D5×C5⋊D4φ: C22/C1C22 ⊆ Out C526C4404C5^2:6C4:C2^2400,179
C526C42C22 = C4×D52φ: C22/C2C2 ⊆ Out C526C4404C5^2:6C4:2C2^2400,169
C526C43C22 = C20⋊D10φ: C22/C2C2 ⊆ Out C526C4404C5^2:6C4:3C2^2400,171
C526C44C22 = C2×D5×Dic5φ: C22/C2C2 ⊆ Out C526C480C5^2:6C4:4C2^2400,172
C526C45C22 = C2×C522D4φ: C22/C2C2 ⊆ Out C526C480C5^2:6C4:5C2^2400,176
C526C46C22 = D4×C5⋊D5φ: C22/C2C2 ⊆ Out C526C4100C5^2:6C4:6C2^2400,195
C526C47C22 = C2×C527D4φ: C22/C2C2 ⊆ Out C526C4200C5^2:6C4:7C2^2400,200
C526C48C22 = C2×C4×C5⋊D5φ: trivial image200C5^2:6C4:8C2^2400,192

Non-split extensions G=N.Q with N=C526C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C526C4.1C22 = D5×Dic10φ: C22/C1C22 ⊆ Out C526C4804-C5^2:6C4.1C2^2400,163
C526C4.2C22 = D205D5φ: C22/C1C22 ⊆ Out C526C4804-C5^2:6C4.2C2^2400,164
C526C4.3C22 = Dic5.D10φ: C22/C1C22 ⊆ Out C526C4404C5^2:6C4.3C2^2400,173
C526C4.4C22 = D10.2F5φ: C22/C1C22 ⊆ Out C526C4808-C5^2:6C4.4C2^2400,127
C526C4.5C22 = C524M4(2)φ: C22/C1C22 ⊆ Out C526C4808-C5^2:6C4.5C2^2400,128
C526C4.6C22 = C52⋊D8φ: C22/C1C22 ⊆ Out C526C4404C5^2:6C4.6C2^2400,131
C526C4.7C22 = C52⋊SD16φ: C22/C1C22 ⊆ Out C526C4404-C5^2:6C4.7C2^2400,132
C526C4.8C22 = C52⋊Q16φ: C22/C1C22 ⊆ Out C526C4804-C5^2:6C4.8C2^2400,133
C526C4.9C22 = D20⋊D5φ: C22/C2C2 ⊆ Out C526C4404C5^2:6C4.9C2^2400,165
C526C4.10C22 = Dic10⋊D5φ: C22/C2C2 ⊆ Out C526C4404C5^2:6C4.10C2^2400,166
C526C4.11C22 = D10.9D10φ: C22/C2C2 ⊆ Out C526C4404C5^2:6C4.11C2^2400,167
C526C4.12C22 = D10.4D10φ: C22/C2C2 ⊆ Out C526C4404-C5^2:6C4.12C2^2400,174
C526C4.13C22 = C2×C522Q8φ: C22/C2C2 ⊆ Out C526C480C5^2:6C4.13C2^2400,178
C526C4.14C22 = C2×C524Q8φ: C22/C2C2 ⊆ Out C526C4400C5^2:6C4.14C2^2400,191
C526C4.15C22 = C20.50D10φ: C22/C2C2 ⊆ Out C526C4200C5^2:6C4.15C2^2400,194
C526C4.16C22 = C20.D10φ: C22/C2C2 ⊆ Out C526C4200C5^2:6C4.16C2^2400,196
C526C4.17C22 = Q8×C5⋊D5φ: C22/C2C2 ⊆ Out C526C4200C5^2:6C4.17C2^2400,197
C526C4.18C22 = C20.F5φ: C22/C2C2 ⊆ Out C526C4200C5^2:6C4.18C2^2400,149
C526C4.19C22 = C527M4(2)φ: C22/C2C2 ⊆ Out C526C4200C5^2:6C4.19C2^2400,150
C526C4.20C22 = C2×C524C8φ: C22/C2C2 ⊆ Out C526C4400C5^2:6C4.20C2^2400,153
C526C4.21C22 = C5213M4(2)φ: C22/C2C2 ⊆ Out C526C4200C5^2:6C4.21C2^2400,154
C526C4.22C22 = C20.11F5φ: C22/C2C2 ⊆ Out C526C4404C5^2:6C4.22C2^2400,156
C526C4.23C22 = C528M4(2)φ: C22/C2C2 ⊆ Out C526C4404C5^2:6C4.23C2^2400,157
C526C4.24C22 = C2×C525C8φ: C22/C2C2 ⊆ Out C526C480C5^2:6C4.24C2^2400,160
C526C4.25C22 = C5214M4(2)φ: C22/C2C2 ⊆ Out C526C4404-C5^2:6C4.25C2^2400,161
C526C4.26C22 = C20.26D10φ: trivial image200C5^2:6C4.26C2^2400,198

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