# Extensions 1→N→G→Q→1 with N=C5⋊2C8 and Q=C22

Direct product G=N×Q with N=C52C8 and Q=C22
dρLabelID
C22×C52C8160C2^2xC5:2C8160,141

Semidirect products G=N:Q with N=C52C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C52C81C22 = D8⋊D5φ: C22/C1C22 ⊆ Out C52C8404C5:2C8:1C2^2160,132
C52C82C22 = D40⋊C2φ: C22/C1C22 ⊆ Out C52C8404+C5:2C8:2C2^2160,135
C52C83C22 = D4.D10φ: C22/C1C22 ⊆ Out C52C8404C5:2C8:3C2^2160,153
C52C84C22 = D4⋊D10φ: C22/C1C22 ⊆ Out C52C8404+C5:2C8:4C2^2160,170
C52C85C22 = D5×D8φ: C22/C2C2 ⊆ Out C52C8404+C5:2C8:5C2^2160,131
C52C86C22 = D5×SD16φ: C22/C2C2 ⊆ Out C52C8404C5:2C8:6C2^2160,134
C52C87C22 = C2×D4⋊D5φ: C22/C2C2 ⊆ Out C52C880C5:2C8:7C2^2160,152
C52C88C22 = C2×D4.D5φ: C22/C2C2 ⊆ Out C52C880C5:2C8:8C2^2160,154
C52C89C22 = C2×Q8⋊D5φ: C22/C2C2 ⊆ Out C52C880C5:2C8:9C2^2160,162
C52C810C22 = C2×C8⋊D5φ: C22/C2C2 ⊆ Out C52C880C5:2C8:10C2^2160,121
C52C811C22 = D5×M4(2)φ: C22/C2C2 ⊆ Out C52C8404C5:2C8:11C2^2160,127
C52C812C22 = C2×C4.Dic5φ: C22/C2C2 ⊆ Out C52C880C5:2C8:12C2^2160,142
C52C813C22 = D5×C2×C8φ: trivial image80C5:2C8:13C2^2160,120

Non-split extensions G=N.Q with N=C52C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C52C8.1C22 = SD16⋊D5φ: C22/C1C22 ⊆ Out C52C8804-C5:2C8.1C2^2160,136
C52C8.2C22 = Q16⋊D5φ: C22/C1C22 ⊆ Out C52C8804C5:2C8.2C2^2160,139
C52C8.3C22 = C20.C23φ: C22/C1C22 ⊆ Out C52C8804C5:2C8.3C2^2160,163
C52C8.4C22 = D4.9D10φ: C22/C1C22 ⊆ Out C52C8804-C5:2C8.4C2^2160,172
C52C8.5C22 = D83D5φ: C22/C2C2 ⊆ Out C52C8804-C5:2C8.5C2^2160,133
C52C8.6C22 = SD163D5φ: C22/C2C2 ⊆ Out C52C8804C5:2C8.6C2^2160,137
C52C8.7C22 = D5×Q16φ: C22/C2C2 ⊆ Out C52C8804-C5:2C8.7C2^2160,138
C52C8.8C22 = Q8.D10φ: C22/C2C2 ⊆ Out C52C8804+C5:2C8.8C2^2160,140
C52C8.9C22 = C2×C5⋊Q16φ: C22/C2C2 ⊆ Out C52C8160C5:2C8.9C2^2160,164
C52C8.10C22 = D4.8D10φ: C22/C2C2 ⊆ Out C52C8804C5:2C8.10C2^2160,171
C52C8.11C22 = D20.3C4φ: C22/C2C2 ⊆ Out C52C8802C5:2C8.11C2^2160,122
C52C8.12C22 = D20.2C4φ: C22/C2C2 ⊆ Out C52C8804C5:2C8.12C2^2160,128
C52C8.13C22 = D4.Dic5φ: C22/C2C2 ⊆ Out C52C8804C5:2C8.13C2^2160,169
C52C8.14C22 = D5⋊C16φ: C22/C2C2 ⊆ Out C52C8804C5:2C8.14C2^2160,64
C52C8.15C22 = C8.F5φ: C22/C2C2 ⊆ Out C52C8804C5:2C8.15C2^2160,65
C52C8.16C22 = C2×C5⋊C16φ: C22/C2C2 ⊆ Out C52C8160C5:2C8.16C2^2160,72
C52C8.17C22 = C20.C8φ: C22/C2C2 ⊆ Out C52C8804C5:2C8.17C2^2160,73

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