# Extensions 1→N→G→Q→1 with N=C4 and Q=C22×D5

Direct product G=N×Q with N=C4 and Q=C22×D5
dρLabelID
D5×C22×C480D5xC2^2xC4160,214

Semidirect products G=N:Q with N=C4 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C41(C22×D5) = C2×D4×D5φ: C22×D5/D10C2 ⊆ Aut C440C4:1(C2^2xD5)160,217
C42(C22×D5) = C22×D20φ: C22×D5/C2×C10C2 ⊆ Aut C480C4:2(C2^2xD5)160,215

Non-split extensions G=N.Q with N=C4 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C4.1(C22×D5) = D5×D8φ: C22×D5/D10C2 ⊆ Aut C4404+C4.1(C2^2xD5)160,131
C4.2(C22×D5) = D8⋊D5φ: C22×D5/D10C2 ⊆ Aut C4404C4.2(C2^2xD5)160,132
C4.3(C22×D5) = D83D5φ: C22×D5/D10C2 ⊆ Aut C4804-C4.3(C2^2xD5)160,133
C4.4(C22×D5) = D5×SD16φ: C22×D5/D10C2 ⊆ Aut C4404C4.4(C2^2xD5)160,134
C4.5(C22×D5) = D40⋊C2φ: C22×D5/D10C2 ⊆ Aut C4404+C4.5(C2^2xD5)160,135
C4.6(C22×D5) = SD16⋊D5φ: C22×D5/D10C2 ⊆ Aut C4804-C4.6(C2^2xD5)160,136
C4.7(C22×D5) = SD163D5φ: C22×D5/D10C2 ⊆ Aut C4804C4.7(C2^2xD5)160,137
C4.8(C22×D5) = D5×Q16φ: C22×D5/D10C2 ⊆ Aut C4804-C4.8(C2^2xD5)160,138
C4.9(C22×D5) = Q16⋊D5φ: C22×D5/D10C2 ⊆ Aut C4804C4.9(C2^2xD5)160,139
C4.10(C22×D5) = Q8.D10φ: C22×D5/D10C2 ⊆ Aut C4804+C4.10(C2^2xD5)160,140
C4.11(C22×D5) = C2×D4⋊D5φ: C22×D5/D10C2 ⊆ Aut C480C4.11(C2^2xD5)160,152
C4.12(C22×D5) = D4.D10φ: C22×D5/D10C2 ⊆ Aut C4404C4.12(C2^2xD5)160,153
C4.13(C22×D5) = C2×D4.D5φ: C22×D5/D10C2 ⊆ Aut C480C4.13(C2^2xD5)160,154
C4.14(C22×D5) = C2×Q8⋊D5φ: C22×D5/D10C2 ⊆ Aut C480C4.14(C2^2xD5)160,162
C4.15(C22×D5) = C20.C23φ: C22×D5/D10C2 ⊆ Aut C4804C4.15(C2^2xD5)160,163
C4.16(C22×D5) = C2×C5⋊Q16φ: C22×D5/D10C2 ⊆ Aut C4160C4.16(C2^2xD5)160,164
C4.17(C22×D5) = D4⋊D10φ: C22×D5/D10C2 ⊆ Aut C4404+C4.17(C2^2xD5)160,170
C4.18(C22×D5) = D4.8D10φ: C22×D5/D10C2 ⊆ Aut C4804C4.18(C2^2xD5)160,171
C4.19(C22×D5) = D4.9D10φ: C22×D5/D10C2 ⊆ Aut C4804-C4.19(C2^2xD5)160,172
C4.20(C22×D5) = C2×D42D5φ: C22×D5/D10C2 ⊆ Aut C480C4.20(C2^2xD5)160,218
C4.21(C22×D5) = D46D10φ: C22×D5/D10C2 ⊆ Aut C4404C4.21(C2^2xD5)160,219
C4.22(C22×D5) = C2×Q8×D5φ: C22×D5/D10C2 ⊆ Aut C480C4.22(C2^2xD5)160,220
C4.23(C22×D5) = C2×Q82D5φ: C22×D5/D10C2 ⊆ Aut C480C4.23(C2^2xD5)160,221
C4.24(C22×D5) = Q8.10D10φ: C22×D5/D10C2 ⊆ Aut C4804C4.24(C2^2xD5)160,222
C4.25(C22×D5) = D5×C4○D4φ: C22×D5/D10C2 ⊆ Aut C4404C4.25(C2^2xD5)160,223
C4.26(C22×D5) = C2×C40⋊C2φ: C22×D5/C2×C10C2 ⊆ Aut C480C4.26(C2^2xD5)160,123
C4.27(C22×D5) = C2×D40φ: C22×D5/C2×C10C2 ⊆ Aut C480C4.27(C2^2xD5)160,124
C4.28(C22×D5) = D407C2φ: C22×D5/C2×C10C2 ⊆ Aut C4802C4.28(C2^2xD5)160,125
C4.29(C22×D5) = C2×Dic20φ: C22×D5/C2×C10C2 ⊆ Aut C4160C4.29(C2^2xD5)160,126
C4.30(C22×D5) = C8⋊D10φ: C22×D5/C2×C10C2 ⊆ Aut C4404+C4.30(C2^2xD5)160,129
C4.31(C22×D5) = C8.D10φ: C22×D5/C2×C10C2 ⊆ Aut C4804-C4.31(C2^2xD5)160,130
C4.32(C22×D5) = C22×Dic10φ: C22×D5/C2×C10C2 ⊆ Aut C4160C4.32(C2^2xD5)160,213
C4.33(C22×D5) = D48D10φ: C22×D5/C2×C10C2 ⊆ Aut C4404+C4.33(C2^2xD5)160,224
C4.34(C22×D5) = D4.10D10φ: C22×D5/C2×C10C2 ⊆ Aut C4804-C4.34(C2^2xD5)160,225
C4.35(C22×D5) = D5×C2×C8central extension (φ=1)80C4.35(C2^2xD5)160,120
C4.36(C22×D5) = C2×C8⋊D5central extension (φ=1)80C4.36(C2^2xD5)160,121
C4.37(C22×D5) = D20.3C4central extension (φ=1)802C4.37(C2^2xD5)160,122
C4.38(C22×D5) = D5×M4(2)central extension (φ=1)404C4.38(C2^2xD5)160,127
C4.39(C22×D5) = D20.2C4central extension (φ=1)804C4.39(C2^2xD5)160,128
C4.40(C22×D5) = C22×C52C8central extension (φ=1)160C4.40(C2^2xD5)160,141
C4.41(C22×D5) = C2×C4.Dic5central extension (φ=1)80C4.41(C2^2xD5)160,142
C4.42(C22×D5) = D4.Dic5central extension (φ=1)804C4.42(C2^2xD5)160,169
C4.43(C22×D5) = C2×C4○D20central extension (φ=1)80C4.43(C2^2xD5)160,216

׿
×
𝔽