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

Direct product G=N×Q with N=C22 and Q=C22×D5
dρLabelID
D5×C2480D5xC2^4160,237

Semidirect products G=N:Q with N=C22 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C221(C22×D5) = C2×D4×D5φ: C22×D5/D10C2 ⊆ Aut C2240C2^2:1(C2^2xD5)160,217
C222(C22×D5) = C22×C5⋊D4φ: C22×D5/C2×C10C2 ⊆ Aut C2280C2^2:2(C2^2xD5)160,227

Non-split extensions G=N.Q with N=C22 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C22.1(C22×D5) = C2×D42D5φ: C22×D5/D10C2 ⊆ Aut C2280C2^2.1(C2^2xD5)160,218
C22.2(C22×D5) = D5×C4○D4φ: C22×D5/D10C2 ⊆ Aut C22404C2^2.2(C2^2xD5)160,223
C22.3(C22×D5) = D48D10φ: C22×D5/D10C2 ⊆ Aut C22404+C2^2.3(C2^2xD5)160,224
C22.4(C22×D5) = D4.10D10φ: C22×D5/D10C2 ⊆ Aut C22804-C2^2.4(C2^2xD5)160,225
C22.5(C22×D5) = C2×C4○D20φ: C22×D5/C2×C10C2 ⊆ Aut C2280C2^2.5(C2^2xD5)160,216
C22.6(C22×D5) = D46D10φ: C22×D5/C2×C10C2 ⊆ Aut C22404C2^2.6(C2^2xD5)160,219
C22.7(C22×D5) = Q8.10D10φ: C22×D5/C2×C10C2 ⊆ Aut C22804C2^2.7(C2^2xD5)160,222
C22.8(C22×D5) = C4×Dic10central extension (φ=1)160C2^2.8(C2^2xD5)160,89
C22.9(C22×D5) = D5×C42central extension (φ=1)80C2^2.9(C2^2xD5)160,92
C22.10(C22×D5) = C42⋊D5central extension (φ=1)80C2^2.10(C2^2xD5)160,93
C22.11(C22×D5) = C4×D20central extension (φ=1)80C2^2.11(C2^2xD5)160,94
C22.12(C22×D5) = C23.11D10central extension (φ=1)80C2^2.12(C2^2xD5)160,98
C22.13(C22×D5) = D5×C22⋊C4central extension (φ=1)40C2^2.13(C2^2xD5)160,101
C22.14(C22×D5) = Dic54D4central extension (φ=1)80C2^2.14(C2^2xD5)160,102
C22.15(C22×D5) = Dic53Q8central extension (φ=1)160C2^2.15(C2^2xD5)160,108
C22.16(C22×D5) = D5×C4⋊C4central extension (φ=1)80C2^2.16(C2^2xD5)160,112
C22.17(C22×D5) = C4⋊C47D5central extension (φ=1)80C2^2.17(C2^2xD5)160,113
C22.18(C22×D5) = D208C4central extension (φ=1)80C2^2.18(C2^2xD5)160,114
C22.19(C22×D5) = C2×C4×Dic5central extension (φ=1)160C2^2.19(C2^2xD5)160,143
C22.20(C22×D5) = C2×C10.D4central extension (φ=1)160C2^2.20(C2^2xD5)160,144
C22.21(C22×D5) = C2×C4⋊Dic5central extension (φ=1)160C2^2.21(C2^2xD5)160,146
C22.22(C22×D5) = C23.21D10central extension (φ=1)80C2^2.22(C2^2xD5)160,147
C22.23(C22×D5) = C2×D10⋊C4central extension (φ=1)80C2^2.23(C2^2xD5)160,148
C22.24(C22×D5) = C4×C5⋊D4central extension (φ=1)80C2^2.24(C2^2xD5)160,149
C22.25(C22×D5) = D4×Dic5central extension (φ=1)80C2^2.25(C2^2xD5)160,155
C22.26(C22×D5) = Q8×Dic5central extension (φ=1)160C2^2.26(C2^2xD5)160,166
C22.27(C22×D5) = C2×C23.D5central extension (φ=1)80C2^2.27(C2^2xD5)160,173
C22.28(C22×D5) = C22×Dic10central extension (φ=1)160C2^2.28(C2^2xD5)160,213
C22.29(C22×D5) = D5×C22×C4central extension (φ=1)80C2^2.29(C2^2xD5)160,214
C22.30(C22×D5) = C22×D20central extension (φ=1)80C2^2.30(C2^2xD5)160,215
C22.31(C22×D5) = C2×Q8×D5central extension (φ=1)80C2^2.31(C2^2xD5)160,220
C22.32(C22×D5) = C2×Q82D5central extension (φ=1)80C2^2.32(C2^2xD5)160,221
C22.33(C22×D5) = C23×Dic5central extension (φ=1)160C2^2.33(C2^2xD5)160,226
C22.34(C22×D5) = C202Q8central stem extension (φ=1)160C2^2.34(C2^2xD5)160,90
C22.35(C22×D5) = C20.6Q8central stem extension (φ=1)160C2^2.35(C2^2xD5)160,91
C22.36(C22×D5) = C204D4central stem extension (φ=1)80C2^2.36(C2^2xD5)160,95
C22.37(C22×D5) = C4.D20central stem extension (φ=1)80C2^2.37(C2^2xD5)160,96
C22.38(C22×D5) = C422D5central stem extension (φ=1)80C2^2.38(C2^2xD5)160,97
C22.39(C22×D5) = Dic5.14D4central stem extension (φ=1)80C2^2.39(C2^2xD5)160,99
C22.40(C22×D5) = C23.D10central stem extension (φ=1)80C2^2.40(C2^2xD5)160,100
C22.41(C22×D5) = C22⋊D20central stem extension (φ=1)40C2^2.41(C2^2xD5)160,103
C22.42(C22×D5) = D10.12D4central stem extension (φ=1)80C2^2.42(C2^2xD5)160,104
C22.43(C22×D5) = D10⋊D4central stem extension (φ=1)80C2^2.43(C2^2xD5)160,105
C22.44(C22×D5) = Dic5.5D4central stem extension (φ=1)80C2^2.44(C2^2xD5)160,106
C22.45(C22×D5) = C22.D20central stem extension (φ=1)80C2^2.45(C2^2xD5)160,107
C22.46(C22×D5) = C20⋊Q8central stem extension (φ=1)160C2^2.46(C2^2xD5)160,109
C22.47(C22×D5) = Dic5.Q8central stem extension (φ=1)160C2^2.47(C2^2xD5)160,110
C22.48(C22×D5) = C4.Dic10central stem extension (φ=1)160C2^2.48(C2^2xD5)160,111
C22.49(C22×D5) = D10.13D4central stem extension (φ=1)80C2^2.49(C2^2xD5)160,115
C22.50(C22×D5) = C4⋊D20central stem extension (φ=1)80C2^2.50(C2^2xD5)160,116
C22.51(C22×D5) = D10⋊Q8central stem extension (φ=1)80C2^2.51(C2^2xD5)160,117
C22.52(C22×D5) = D102Q8central stem extension (φ=1)80C2^2.52(C2^2xD5)160,118
C22.53(C22×D5) = C4⋊C4⋊D5central stem extension (φ=1)80C2^2.53(C2^2xD5)160,119
C22.54(C22×D5) = C20.48D4central stem extension (φ=1)80C2^2.54(C2^2xD5)160,145
C22.55(C22×D5) = C23.23D10central stem extension (φ=1)80C2^2.55(C2^2xD5)160,150
C22.56(C22×D5) = C207D4central stem extension (φ=1)80C2^2.56(C2^2xD5)160,151
C22.57(C22×D5) = C23.18D10central stem extension (φ=1)80C2^2.57(C2^2xD5)160,156
C22.58(C22×D5) = C20.17D4central stem extension (φ=1)80C2^2.58(C2^2xD5)160,157
C22.59(C22×D5) = C23⋊D10central stem extension (φ=1)40C2^2.59(C2^2xD5)160,158
C22.60(C22×D5) = C202D4central stem extension (φ=1)80C2^2.60(C2^2xD5)160,159
C22.61(C22×D5) = Dic5⋊D4central stem extension (φ=1)80C2^2.61(C2^2xD5)160,160
C22.62(C22×D5) = C20⋊D4central stem extension (φ=1)80C2^2.62(C2^2xD5)160,161
C22.63(C22×D5) = Dic5⋊Q8central stem extension (φ=1)160C2^2.63(C2^2xD5)160,165
C22.64(C22×D5) = D103Q8central stem extension (φ=1)80C2^2.64(C2^2xD5)160,167
C22.65(C22×D5) = C20.23D4central stem extension (φ=1)80C2^2.65(C2^2xD5)160,168
C22.66(C22×D5) = C242D5central stem extension (φ=1)40C2^2.66(C2^2xD5)160,174

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