Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1336 conjugacy classes of subgroups.
The subgroup lattice has 872 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10619101 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10610818 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10610594 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10610566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10610425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10610423 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×#2053 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10602913 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601339 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10601089 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10601088 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10600846 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10600842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10599505 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10599497 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #66283 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#4149 | C22 | 1 | 1 | yes | characteristic |
| 18 | C5×#575 | C22 | 1 | 1 | yes | characteristic |
| 19 | #66159 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#4097 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #66156 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#4095 | C22 | 1 | 1 | yes | characteristic |
| 23 | #66112 | — | 2 | 2 | no | — |
| 24 | #66111 | — | 2 | 2 | no | — |
| 25 | #66108 | — | 2 | 2 | no | — |
| 26 | D5×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 27 | #66104 | — | 2 | 2 | no | — |
| 28 | #66103 | — | 2 | 2 | no | — |
| 29 | C2×#4054 | C22 | 1 | 1 | yes | characteristic |
| 30 | #66079 | C22 | 1 | 1 | yes | characteristic |
| 31 | C22×#677 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #65860 | C22 | 1 | 1 | yes | characteristic |
| 33 | #65860 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #65855 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #65855 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C5×#424 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C5×#416 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C5×#416 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C5×#410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C5×#410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #65529 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #65525 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #65409 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #65402 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #65399 | C22 | 1 | 1 | yes | characteristic |
| 46 | #65391 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #65295 | C22 | 1 | 1 | yes | characteristic |
| 48 | #65295 | C22 | 1 | 1 | yes | characteristic |
| 49 | #65295 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #65294 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #65293 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #65290 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #65133 | — | 2 | 2 | no | — |
| 54 | #65130 | — | 2 | 2 | no | — |
| 55 | #65107 | — | 2 | 2 | no | — |
| 56 | #65099 | — | 2 | 2 | no | — |
| 57 | #65076 | — | 2 | 2 | no | — |
| 58 | #65065 | — | 2 | 2 | no | — |
| 59 | D5×#99 | — | 2 | 4 | no | — |
| 60 | #65031 | — | 2 | 4 | no | — |
| 61 | C5×H(3,ℤ/4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #64776 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #64753 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #64751 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #24409 | — | 5 | 1 | no | maximal, Sylow |
| 66 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 68 | #4150 | — | 2 | 1 | no | — |
| 69 | #4150 | — | 2 | 1 | no | — |
| 70 | #4149 | — | 2 | 1 | no | — |
| 71 | #4149 | — | 2 | 2 | no | — |
| 72 | #4149 | — | 2 | 2 | no | — |
| 73 | #4149 | — | 2 | 1 | no | — |
| 74 | #4149 | — | 4 | 1 | no | — |
| 75 | #4149 | — | 4 | 1 | no | — |
| 76 | D5×#41 | — | 2 | 2 | no | — |
| 77 | D5×#41 | — | 4 | 1 | no | — |
| 78 | #4147 | — | 2 | 1 | no | — |
| 79 | C2×#713 | D4 | 1 | 2 | yes | — |
| 80 | #4144 | — | 2 | 1 | no | — |
| 81 | #4144 | — | 2 | 2 | no | — |
| 82 | C2×D4×D5 | — | 2 | 2 | no | — |
| 83 | C2×D4×D5 | D4 | 1 | 2 | yes | — |
| 84 | C2×#709 | — | 2 | 1 | no | — |
| 85 | C2×#709 | — | 4 | 1 | no | — |
| 86 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×D20 | — | 2 | 1 | no | — |
| 89 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 90 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 91 | C5×#137 | — | 2 | 1 | no | — |
| 92 | C5×#137 | — | 2 | 1 | no | — |
| 93 | C5×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 94 | C5×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 95 | C5×#135 | — | 2 | 2 | no | — |
| 96 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 98 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 99 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 100 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 101 | #4097 | — | 2 | 1 | no | — |
| 102 | #4097 | — | 4 | 1 | no | — |
| 103 | #4097 | — | 4 | 1 | no | — |
| 104 | #4096 | — | 2 | 2 | no | — |
| 105 | #4095 | — | 2 | 1 | no | — |
| 106 | #4095 | — | 2 | 2 | no | — |
| 107 | #4095 | — | 2 | 2 | no | — |
| 108 | #4090 | — | 2 | 1 | no | — |
| 109 | C2×#689 | — | 2 | 1 | no | — |
| 110 | #4088 | — | 2 | 1 | no | — |
| 111 | C2×#688 | D4 | 1 | 2 | yes | — |
| 112 | #4082 | — | 2 | 1 | no | — |
| 113 | #4081 | — | 2 | 2 | no | — |
| 114 | C2×#687 | — | 2 | 1 | no | — |
| 115 | #4078 | — | 2 | 1 | no | — |
| 116 | C2×#686 | D4 | 1 | 2 | yes | — |
| 117 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 118 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 119 | #4070 | — | 4 | 1 | no | — |
| 120 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 122 | #4065 | — | 2 | 4 | no | — |
| 123 | #4064 | — | 2 | 4 | no | — |
| 124 | #4062 | — | 2 | 4 | no | — |
| 125 | #4060 | — | 2 | 4 | no | — |
| 126 | #4060 | — | 2 | 4 | no | — |
| 127 | D5×SD16 | — | 2 | 4 | no | — |
| 128 | #4057 | — | 2 | 4 | no | — |
| 129 | D5×D8 | — | 2 | 4 | no | — |
| 130 | #4054 | — | 2 | 2 | no | — |
| 131 | #4054 | — | 2 | 2 | no | — |
| 132 | #4053 | — | 2 | 2 | no | — |
| 133 | D5×M16 | — | 2 | 2 | no | — |
| 134 | C2×D40 | D4 | 1 | 2 | yes | — |
| 135 | C2×#677 | — | 2 | 2 | no | — |
| 136 | C2×#677 | — | 2 | 2 | no | — |
| 137 | C2×#677 | — | 2 | 2 | no | — |
| 138 | C2×#677 | D4 | 1 | 2 | yes | — |
| 139 | #4047 | — | 2 | 2 | no | — |
| 140 | #4043 | — | 2 | 2 | no | — |
| 141 | #4043 | — | 4 | 1 | no | — |
| 142 | #4039 | — | 2 | 2 | no | — |
| 143 | #4039 | — | 4 | 1 | no | — |
| 144 | #4032 | — | 2 | 2 | no | — |
| 145 | #4032 | — | 2 | 2 | no | — |
| 146 | D5×C22⋊C4 | — | 2 | 2 | no | — |
| 147 | D5×C22⋊C4 | — | 2 | 2 | no | — |
| 148 | #4021 | — | 2 | 1 | no | — |
| 149 | #4021 | — | 2 | 1 | no | — |
| 150 | C4×D20 | — | 2 | 2 | no | — |
| 151 | C4×D20 | — | 4 | 1 | no | — |
| 152 | #4015 | — | 2 | 1 | no | — |
| 153 | #4015 | — | 2 | 1 | no | — |
| 154 | C5×C4⋊C8 | — | 2 | 2 | no | — |
| 155 | C5×#103 | — | 2 | 1 | no | — |
| 156 | C5×#103 | — | 2 | 1 | no | — |
| 157 | C5×#102 | — | 2 | 1 | no | — |
| 158 | C5×#102 | — | 2 | 1 | no | — |
| 159 | C5×#99 | — | 2 | 2 | no | — |
| 160 | C5×#99 | — | 2 | 2 | no | — |
| 161 | #3969 | — | 4 | 1 | no | — |
| 162 | #3966 | — | 2 | 2 | no | — |
| 163 | #3953 | — | 2 | 1 | no | — |
| 164 | #3952 | — | 2 | 2 | no | — |
| 165 | #3948 | — | 2 | 1 | no | — |
| 166 | #3948 | — | 2 | 2 | no | — |
| 167 | #3946 | — | 2 | 2 | no | — |
| 168 | #3942 | — | 2 | 2 | no | — |
| 169 | #3941 | — | 2 | 2 | no | — |
| 170 | #3938 | — | 2 | 2 | no | — |
| 171 | #3938 | — | 2 | 2 | no | — |
| 172 | #3938 | D4 | 1 | 4 | yes | — |
| 173 | #3937 | — | 4 | 1 | no | — |
| 174 | #3585 | — | 5 | 1 | no | — |
| 175 | #3042 | — | 5 | 1 | no | — |
| 176 | #3042 | — | 5 | 1 | no | — |
| 177 | #3028 | — | 5 | 1 | no | — |
| 178 | #3009 | — | 5 | 1 | no | — |
| 179 | #2883 | — | 5 | 1 | no | — |
| 180 | #2053 | — | 5 | 1 | no | — |
| 181 | #2053 | D5 | 1 | 1 | yes | characteristic, complemented |
| 182 | #2009 | — | 5 | 1 | no | — |
| 183 | #2009 | — | 5 | 1 | no | — |
| 184 | #1909 | — | 5 | 1 | no | — |
| 185 | #1904 | — | 5 | 1 | no | — |
| 186 | #1904 | — | 5 | 1 | no | — |
| 187 | #1868 | — | 5 | 1 | no | — |
| 188 | #1794 | — | 5 | 1 | no | — |
| 189 | C23×D5 | — | 2 | 1 | no | — |
| 190 | C23×D5 | — | 2 | 2 | no | — |
| 191 | C5×#41 | — | 2 | 1 | no | — |
| 192 | C5×#41 | — | 2 | 1 | no | — |
| 193 | C5×#41 | — | 2 | 1 | no | — |
| 194 | C5×#41 | — | 2 | 1 | no | — |
| 195 | C5×#41 | — | 2 | 1 | no | — |
| 196 | C5×#41 | — | 2 | 1 | no | — |
| 197 | C5×#41 | — | 2 | 1 | no | — |
| 198 | C5×#41 | — | 2 | 1 | no | — |
| 199 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C2×C5×D4 | — | 2 | 1 | no | — |
| 202 | C2×C5×D4 | — | 2 | 1 | no | — |
| 203 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C22×C4×C5 | — | 2 | 1 | no | — |
| 206 | C22×C4×C5 | — | 2 | 1 | no | — |
| 207 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 208 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 209 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 210 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 211 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 212 | C22×Dic5 | — | 2 | 1 | no | — |
| 213 | #713 | — | 2 | 2 | no | — |
| 214 | #713 | — | 2 | 4 | no | — |
| 215 | #713 | — | 4 | 2 | no | — |
| 216 | #713 | — | 4 | 1 | no | — |
| 217 | Q8×D5 | — | 2 | 2 | no | — |
| 218 | Q8×D5 | — | 4 | 1 | no | — |
| 219 | #711 | — | 2 | 2 | no | — |
| 220 | #711 | — | 4 | 1 | no | — |
| 221 | #711 | — | 4 | 2 | no | — |
| 222 | #711 | — | 4 | 2 | no | — |
| 223 | D4×D5 | — | 2 | 2 | no | — |
| 224 | D4×D5 | — | 2 | 4 | no | — |
| 225 | D4×D5 | — | 4 | 2 | no | — |
| 226 | D4×D5 | — | 4 | 1 | no | — |
| 227 | D4×D5 | — | 4 | 4 | no | — |
| 228 | D4×D5 | — | 4 | 4 | no | — |
| 229 | D4×D5 | — | 4 | 2 | no | — |
| 230 | D4×D5 | — | 4 | 2 | no | — |
| 231 | #709 | — | 2 | 1 | no | — |
| 232 | #709 | — | 2 | 1 | no | — |
| 233 | #709 | — | 2 | 1 | no | — |
| 234 | #709 | — | 2 | 1 | no | — |
| 235 | #709 | — | 2 | 1 | no | — |
| 236 | #709 | — | 2 | 1 | no | — |
| 237 | #709 | — | 2 | 1 | no | — |
| 238 | #709 | — | 2 | 1 | no | — |
| 239 | #709 | — | 4 | 2 | no | — |
| 240 | #709 | — | 4 | 2 | no | — |
| 241 | #709 | — | 4 | 1 | no | — |
| 242 | #709 | — | 4 | 1 | no | — |
| 243 | #709 | — | 4 | 2 | no | — |
| 244 | #709 | — | 4 | 2 | no | — |
| 245 | C2×D20 | — | 2 | 1 | no | — |
| 246 | C2×D20 | — | 2 | 1 | no | — |
| 247 | C2×D20 | — | 2 | 1 | no | — |
| 248 | C2×D20 | — | 2 | 2 | no | — |
| 249 | C2×D20 | — | 4 | 2 | no | — |
| 250 | C2×D20 | — | 4 | 2 | no | — |
| 251 | C2×D20 | — | 4 | 1 | no | — |
| 252 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 254 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 255 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 256 | C2×D20 | #41 | 1 | 1 | yes | characteristic |
| 257 | C2×C4×D5 | — | 2 | 1 | no | — |
| 258 | C2×C4×D5 | — | 2 | 2 | no | — |
| 259 | C2×C4×D5 | — | 4 | 2 | no | — |
| 260 | C2×C4×D5 | — | 4 | 2 | no | — |
| 261 | C2×C4×D5 | — | 4 | 2 | no | — |
| 262 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 263 | C2×Dic10 | — | 2 | 1 | no | — |
| 264 | C2×Dic10 | — | 2 | 1 | no | — |
| 265 | C2×Dic10 | — | 2 | 1 | no | — |
| 266 | C2×Dic10 | — | 2 | 1 | no | — |
| 267 | C2×Dic10 | — | 2 | 1 | no | — |
| 268 | C2×Dic10 | — | 2 | 1 | no | — |
| 269 | C2×Dic10 | — | 4 | 1 | no | — |
| 270 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 271 | C2×Dic10 | #41 | 1 | 1 | yes | characteristic |
| 272 | C5×Q16 | — | 2 | 2 | no | — |
| 273 | C5×SD16 | — | 2 | 2 | no | — |
| 274 | C5×SD16 | — | 2 | 2 | no | — |
| 275 | C5×D8 | — | 2 | 2 | no | — |
| 276 | C5×M16 | — | 2 | 1 | no | — |
| 277 | C5×M16 | — | 2 | 1 | no | — |
| 278 | C2×C5×C8 | — | 2 | 1 | no | — |
| 279 | C2×C5×C8 | — | 2 | 1 | no | — |
| 280 | C2×C5×C8 | — | 2 | 1 | no | — |
| 281 | C2×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 282 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 283 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 284 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 285 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 286 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 287 | C5×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 288 | C42×C5 | — | 2 | 1 | no | — |
| 289 | C42×C5 | — | 2 | 1 | no | — |
| 290 | C42×C5 | — | 2 | 1 | no | — |
| 291 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 292 | C22⋊Dic5 | — | 4 | 2 | no | — |
| 293 | C22⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 294 | #689 | — | 2 | 2 | no | — |
| 295 | #689 | — | 4 | 2 | no | — |
| 296 | #688 | — | 2 | 2 | no | — |
| 297 | #688 | — | 2 | 4 | no | — |
| 298 | #687 | — | 2 | 2 | no | — |
| 299 | #687 | — | 4 | 2 | no | — |
| 300 | #686 | — | 2 | 2 | no | — |
| 301 | #686 | — | 2 | 4 | no | — |
| 302 | #685 | — | 4 | 2 | no | — |
| 303 | #685 | — | 4 | 2 | no | — |
| 304 | #685 | — | 4 | 2 | no | — |
| 305 | #685 | — | 4 | 2 | no | — |
| 306 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 307 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 308 | C4⋊Dic5 | — | 4 | 2 | no | — |
| 309 | C4⋊Dic5 | — | 4 | 2 | no | — |
| 310 | #683 | — | 4 | 2 | no | — |
| 311 | C4×Dic5 | — | 2 | 1 | no | — |
| 312 | C4×Dic5 | — | 2 | 1 | no | — |
| 313 | #681 | — | 2 | 1 | no | — |
| 314 | #681 | — | 2 | 1 | no | — |
| 315 | #681 | — | 2 | 1 | no | — |
| 316 | #681 | — | 2 | 1 | no | — |
| 317 | C2×#168 | — | 2 | 1 | no | — |
| 318 | C2×#168 | C2×D4 | 1 | 2 | yes | — |
| 319 | D40 | — | 2 | 4 | no | — |
| 320 | #677 | — | 2 | 4 | no | — |
| 321 | #677 | — | 4 | 4 | no | — |
| 322 | #676 | — | 2 | 4 | no | — |
| 323 | C8×D5 | — | 2 | 4 | no | — |
| 324 | #585 | — | 5 | 1 | no | — |
| 325 | C2×H(5,𝔽2) | — | 5 | 1 | no | — |
| 326 | #577 | — | 10 | 2 | no | — |
| 327 | #577 | — | 10 | 2 | no | — |
| 328 | #576 | — | 10 | 2 | no | — |
| 329 | #576 | — | 10 | 2 | no | — |
| 330 | #575 | — | 5 | 1 | no | — |
| 331 | #575 | — | 10 | 2 | no | — |
| 332 | #575 | C2×D5 | 1 | 1 | yes | characteristic |
| 333 | C2×#137 | — | 5 | 1 | no | — |
| 334 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 335 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 336 | C2×AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 337 | C22×SD16 | — | 5 | 1 | no | — |
| 338 | #568 | — | 5 | 1 | no | — |
| 339 | #536 | — | 5 | 1 | no | — |
| 340 | #536 | — | 5 | 1 | no | — |
| 341 | #536 | — | 5 | 1 | no | — |
| 342 | #518 | — | 5 | 1 | no | — |
| 343 | #518 | — | 5 | 1 | no | — |
| 344 | #463 | — | 10 | 2 | no | — |
| 345 | #463 | — | 10 | 2 | no | — |
| 346 | #461 | — | 10 | 2 | no | — |
| 347 | #461 | — | 10 | 2 | no | — |
| 348 | #458 | — | 10 | 4 | no | — |
| 349 | #452 | — | 10 | 2 | no | — |
| 350 | #450 | — | 10 | 2 | no | — |
| 351 | #424 | — | 5 | 1 | no | — |
| 352 | #424 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 353 | #421 | — | 5 | 1 | no | — |
| 354 | #421 | — | 5 | 1 | no | — |
| 355 | #419 | — | 5 | 1 | no | — |
| 356 | #419 | — | 5 | 1 | no | — |
| 357 | #418 | — | 5 | 1 | no | — |
| 358 | #416 | — | 5 | 1 | no | — |
| 359 | #416 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 360 | #416 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 361 | #410 | — | 5 | 1 | no | — |
| 362 | #410 | — | 5 | 1 | no | — |
| 363 | #410 | — | 5 | 1 | no | — |
| 364 | #410 | — | 5 | 1 | no | — |
| 365 | #410 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 366 | #410 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 367 | C2×#99 | — | 10 | 4 | no | — |
| 368 | #408 | — | 5 | 1 | no | — |
| 369 | #344 | — | 5 | 1 | no | — |
| 370 | #344 | — | 5 | 1 | no | — |
| 371 | H(3,ℤ/4) | — | 5 | 1 | no | — |
| 372 | H(3,ℤ/4) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 373 | C23×C5 | — | 2 | 1 | no | — |
| 374 | C23×C5 | — | 2 | 1 | no | — |
| 375 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 376 | C22×D5 | — | 2 | 2 | no | — |
| 377 | C22×D5 | — | 2 | 2 | no | — |
| 378 | C22×D5 | — | 2 | 2 | no | — |
| 379 | C22×D5 | — | 2 | 1 | no | — |
| 380 | C22×D5 | — | 4 | 4 | no | — |
| 381 | C22×D5 | — | 4 | 2 | no | — |
| 382 | C22×D5 | — | 16 | 2 | no | — |
| 383 | C22×D5 | — | 16 | 1 | no | — |
| 384 | C22×D5 | #121 | 1 | 2 | yes | — |
| 385 | C5×Q8 | — | 2 | 1 | no | — |
| 386 | C5×Q8 | — | 2 | 1 | no | — |
| 387 | C5×Q8 | — | 2 | 1 | no | — |
| 388 | C5×Q8 | — | 2 | 1 | no | — |
| 389 | C5×D4 | — | 2 | 1 | no | — |
| 390 | C5×D4 | — | 2 | 1 | no | — |
| 391 | C5×D4 | — | 2 | 1 | no | — |
| 392 | C5×D4 | — | 2 | 1 | no | — |
| 393 | C5×D4 | — | 4 | 1 | no | — |
| 394 | C5×D4 | — | 4 | 1 | no | — |
| 395 | C5×D4 | — | 4 | 1 | no | — |
| 396 | C5×D4 | — | 4 | 1 | no | — |
| 397 | C2×C4×C5 | — | 2 | 1 | no | — |
| 398 | C2×C4×C5 | — | 2 | 1 | no | — |
| 399 | C2×C4×C5 | — | 2 | 2 | no | — |
| 400 | C2×C4×C5 | — | 4 | 1 | no | — |
| 401 | C2×C4×C5 | — | 4 | 1 | no | — |
| 402 | C2×C4×C5 | — | 4 | 1 | no | — |
| 403 | C2×C4×C5 | — | 4 | 1 | no | — |
| 404 | C2×C4×C5 | — | 4 | 1 | no | — |
| 405 | C2×C4×C5 | — | 4 | 1 | no | — |
| 406 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 407 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 408 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 409 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 411 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 412 | C22⋊D5 | — | 2 | 2 | no | — |
| 413 | C22⋊D5 | — | 2 | 2 | no | — |
| 414 | C22⋊D5 | — | 4 | 4 | no | — |
| 415 | C22⋊D5 | — | 4 | 2 | no | — |
| 416 | C22⋊D5 | — | 4 | 2 | no | — |
| 417 | C22⋊D5 | — | 4 | 1 | no | — |
| 418 | C22⋊D5 | — | 4 | 1 | no | — |
| 419 | C2×Dic5 | — | 2 | 2 | no | — |
| 420 | C2×Dic5 | — | 2 | 1 | no | — |
| 421 | C2×Dic5 | — | 4 | 2 | no | — |
| 422 | C2×Dic5 | — | 4 | 1 | no | — |
| 423 | C2×Dic5 | — | 4 | 1 | no | — |
| 424 | C2×Dic5 | — | 4 | 1 | no | — |
| 425 | C2×Dic5 | — | 4 | 1 | no | — |
| 426 | C2×Dic5 | #121 | 1 | 2 | yes | — |
| 427 | D20 | — | 2 | 1 | no | — |
| 428 | D20 | — | 2 | 2 | no | — |
| 429 | D20 | — | 2 | 2 | no | — |
| 430 | D20 | — | 2 | 2 | no | — |
| 431 | D20 | — | 2 | 1 | no | — |
| 432 | D20 | — | 2 | 1 | no | — |
| 433 | D20 | — | 2 | 1 | no | — |
| 434 | D20 | — | 4 | 4 | no | — |
| 435 | D20 | — | 4 | 2 | no | — |
| 436 | D20 | #120 | 1 | 4 | yes | — |
| 437 | C4×D5 | — | 2 | 2 | no | — |
| 438 | C4×D5 | — | 2 | 2 | no | — |
| 439 | C4×D5 | — | 4 | 4 | no | — |
| 440 | C4×D5 | — | 4 | 2 | no | — |
| 441 | C4×D5 | — | 4 | 2 | no | — |
| 442 | C4×D5 | — | 4 | 1 | no | — |
| 443 | C4×D5 | — | 4 | 1 | no | — |
| 444 | C4×D5 | — | 16 | 2 | no | — |
| 445 | C4×D5 | — | 16 | 2 | no | — |
| 446 | Dic10 | — | 2 | 1 | no | — |
| 447 | Dic10 | — | 2 | 1 | no | — |
| 448 | Dic10 | — | 2 | 1 | no | — |
| 449 | Dic10 | — | 2 | 1 | no | — |
| 450 | Dic10 | — | 4 | 2 | no | — |
| 451 | Dic10 | — | 4 | 1 | no | — |
| 452 | Dic10 | — | 4 | 1 | no | — |
| 453 | Dic10 | — | 4 | 1 | no | — |
| 454 | Dic10 | — | 4 | 1 | no | — |
| 455 | C5×C8 | — | 2 | 2 | no | — |
| 456 | C5×C8 | — | 4 | 1 | no | — |
| 457 | #168 | — | 2 | 2 | no | — |
| 458 | #168 | — | 4 | 1 | no | — |
| 459 | 2−1+4 | — | 10 | 1 | no | — |
| 460 | 2−1+4 | — | 10 | 1 | no | — |
| 461 | 2−1+4 | — | 10 | 1 | no | — |
| 462 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 463 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 464 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 465 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 466 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 467 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 468 | H(5,𝔽2) | — | 20 | 1 | no | — |
| 469 | H(5,𝔽2) | — | 20 | 1 | no | — |
| 470 | C2×#41 | — | 5 | 1 | no | — |
| 471 | C2×#41 | — | 5 | 2 | no | — |
| 472 | C2×#41 | — | 5 | 1 | no | — |
| 473 | C2×#41 | — | 10 | 1 | no | — |
| 474 | C2×#41 | — | 10 | 2 | no | — |
| 475 | C2×#41 | — | 20 | 1 | no | — |
| 476 | C2×#41 | — | 20 | 1 | no | — |
| 477 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 478 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 479 | C22×Q8 | — | 5 | 1 | no | — |
| 480 | C22×D4 | — | 5 | 2 | no | — |
| 481 | C22×D4 | — | 5 | 1 | no | — |
| 482 | C22×D4 | — | 10 | 1 | no | — |
| 483 | C22×D4 | — | 10 | 2 | no | — |
| 484 | #137 | — | 2 | 1 | no | — |
| 485 | #137 | — | 2 | 1 | no | — |
| 486 | #137 | — | 10 | 4 | no | — |
| 487 | #137 | — | 10 | 1 | no | — |
| 488 | #137 | — | 10 | 1 | no | — |
| 489 | #137 | — | 20 | 1 | no | — |
| 490 | #137 | — | 20 | 1 | no | — |
| 491 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 492 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 493 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 494 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 495 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 496 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 497 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 498 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 499 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 500 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 501 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 502 | #135 | — | 2 | 2 | no | — |
| 503 | #135 | — | 10 | 2 | no | — |
| 504 | #135 | — | 10 | 4 | no | — |
| 505 | #135 | — | 10 | 4 | no | — |
| 506 | C2×Q16 | — | 10 | 1 | no | — |
| 507 | C2×SD16 | — | 5 | 2 | no | — |
| 508 | C2×SD16 | — | 5 | 2 | no | — |
| 509 | C2×SD16 | — | 10 | 2 | no | — |
| 510 | C2×SD16 | — | 10 | 2 | no | — |
| 511 | C2×SD16 | — | 10 | 2 | no | — |
| 512 | C2×SD16 | — | 10 | 4 | no | — |
| 513 | C2×SD16 | — | 10 | 1 | no | — |
| 514 | C2×D8 | — | 5 | 2 | no | — |
| 515 | C2×D8 | — | 5 | 2 | no | — |
| 516 | C2×D8 | — | 10 | 4 | no | — |
| 517 | #131 | — | 10 | 2 | no | — |
| 518 | #131 | — | 10 | 2 | no | — |
| 519 | C2×M16 | — | 5 | 1 | no | — |
| 520 | C2×M16 | — | 5 | 1 | no | — |
| 521 | C2×M16 | — | 10 | 2 | no | — |
| 522 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 523 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 524 | C4⋊Q8 | — | 10 | 1 | no | — |
| 525 | C4⋊Q8 | — | 10 | 1 | no | — |
| 526 | C4⋊Q8 | — | 10 | 1 | no | — |
| 527 | #124 | — | 10 | 1 | no | — |
| 528 | #124 | — | 10 | 1 | no | — |
| 529 | #124 | — | 10 | 1 | no | — |
| 530 | #123 | — | 10 | 2 | no | — |
| 531 | #123 | — | 10 | 2 | no | — |
| 532 | #123 | — | 10 | 2 | no | — |
| 533 | C22⋊Q8 | — | 10 | 2 | no | — |
| 534 | C22⋊Q8 | — | 20 | 1 | no | — |
| 535 | C22⋊Q8 | — | 20 | 1 | no | — |
| 536 | C4×D4 | — | 10 | 2 | no | — |
| 537 | C4×D4 | — | 10 | 2 | no | — |
| 538 | C4×D4 | — | 20 | 1 | no | — |
| 539 | C4×D4 | — | 20 | 1 | no | — |
| 540 | #117 | — | 5 | 1 | no | — |
| 541 | #117 | — | 5 | 1 | no | — |
| 542 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 543 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 544 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 545 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 546 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 547 | C4⋊C8 | — | 2 | 2 | no | — |
| 548 | C4⋊C8 | — | 10 | 2 | no | — |
| 549 | #104 | — | 20 | 1 | no | — |
| 550 | #104 | — | 20 | 1 | no | — |
| 551 | #103 | — | 2 | 1 | no | — |
| 552 | #103 | — | 2 | 1 | no | — |
| 553 | #103 | — | 10 | 2 | no | — |
| 554 | #103 | — | 10 | 1 | no | — |
| 555 | #103 | — | 10 | 2 | no | — |
| 556 | #102 | — | 2 | 1 | no | — |
| 557 | #102 | — | 2 | 1 | no | — |
| 558 | #102 | — | 10 | 2 | no | — |
| 559 | #102 | — | 10 | 1 | no | — |
| 560 | #99 | — | 2 | 2 | no | — |
| 561 | #99 | — | 2 | 2 | no | — |
| 562 | #99 | — | 5 | 4 | no | — |
| 563 | #99 | — | 10 | 2 | no | — |
| 564 | #99 | — | 10 | 2 | no | — |
| 565 | #99 | — | 10 | 2 | no | — |
| 566 | C22⋊C8 | — | 10 | 2 | no | — |
| 567 | C22×C5 | — | 4 | 1 | no | — |
| 568 | C22×C5 | — | 4 | 1 | no | — |
| 569 | C22×C5 | — | 4 | 1 | no | — |
| 570 | C22×C5 | — | 8 | 1 | no | — |
| 571 | C22×C5 | — | 8 | 1 | no | — |
| 572 | C22×C5 | C2×#121 | 1 | 1 | yes | characteristic |
| 573 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 574 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 575 | C2×D5 | — | 2 | 2 | no | — |
| 576 | C2×D5 | — | 2 | 4 | no | — |
| 577 | C2×D5 | — | 4 | 2 | no | — |
| 578 | C2×D5 | — | 4 | 1 | no | — |
| 579 | C2×D5 | — | 8 | 2 | no | — |
| 580 | C2×D5 | — | 8 | 2 | no | — |
| 581 | C2×D5 | — | 8 | 2 | no | — |
| 582 | C2×D5 | — | 8 | 1 | no | — |
| 583 | C2×D5 | — | 16 | 4 | no | — |
| 584 | C2×D5 | — | 16 | 2 | no | — |
| 585 | C4×C5 | — | 4 | 2 | no | — |
| 586 | C4×C5 | — | 4 | 1 | no | — |
| 587 | C4×C5 | — | 4 | 1 | no | — |
| 588 | C4×C5 | — | 8 | 1 | no | — |
| 589 | C4×C5 | — | 8 | 1 | no | — |
| 590 | C4×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 591 | C4×C5 | #534 | 1 | 1 | yes | characteristic |
| 592 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 593 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 594 | Dic5 | — | 2 | 2 | no | — |
| 595 | Dic5 | — | 4 | 2 | no | — |
| 596 | Dic5 | — | 4 | 1 | no | — |
| 597 | Dic5 | — | 8 | 1 | no | — |
| 598 | Dic5 | — | 8 | 1 | no | — |
| 599 | C24 | — | 10 | 2 | no | — |
| 600 | C24 | — | 10 | 1 | no | — |
| 601 | #41 | — | 2 | 1 | no | — |
| 602 | #41 | — | 2 | 1 | no | — |
| 603 | #41 | — | 2 | 1 | no | — |
| 604 | #41 | — | 2 | 1 | no | — |
| 605 | #41 | — | 2 | 1 | no | — |
| 606 | #41 | — | 2 | 1 | no | — |
| 607 | #41 | — | 2 | 1 | no | — |
| 608 | #41 | — | 2 | 1 | no | — |
| 609 | #41 | — | 10 | 1 | no | — |
| 610 | #41 | — | 10 | 1 | no | — |
| 611 | #41 | — | 10 | 1 | no | — |
| 612 | #41 | — | 10 | 1 | no | — |
| 613 | #41 | — | 10 | 2 | no | — |
| 614 | #41 | — | 10 | 4 | no | — |
| 615 | #41 | — | 10 | 2 | no | — |
| 616 | #41 | — | 10 | 1 | no | — |
| 617 | #41 | — | 10 | 1 | no | — |
| 618 | #41 | — | 10 | 1 | no | — |
| 619 | #41 | — | 10 | 1 | no | — |
| 620 | #41 | — | 20 | 2 | no | — |
| 621 | #41 | — | 20 | 2 | no | — |
| 622 | #41 | — | 20 | 2 | no | — |
| 623 | #41 | — | 20 | 2 | no | — |
| 624 | #41 | — | 20 | 1 | no | — |
| 625 | #41 | — | 20 | 1 | no | — |
| 626 | #41 | — | 20 | 2 | no | — |
| 627 | #41 | — | 20 | 2 | no | — |
| 628 | #41 | — | 20 | 2 | no | — |
| 629 | #41 | — | 20 | 1 | no | — |
| 630 | #41 | — | 20 | 1 | no | — |
| 631 | C2×Q8 | — | 5 | 1 | no | — |
| 632 | C2×Q8 | — | 5 | 1 | no | — |
| 633 | C2×Q8 | — | 10 | 2 | no | — |
| 634 | C2×Q8 | — | 10 | 1 | no | — |
| 635 | C2×Q8 | — | 10 | 1 | no | — |
| 636 | C2×Q8 | — | 10 | 1 | no | — |
| 637 | C2×Q8 | — | 10 | 1 | no | — |
| 638 | C2×Q8 | — | 10 | 1 | no | — |
| 639 | C2×Q8 | — | 10 | 1 | no | — |
| 640 | C2×Q8 | — | 20 | 1 | no | — |
| 641 | C2×Q8 | — | 20 | 1 | no | — |
| 642 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 643 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 644 | C2×D4 | — | 2 | 1 | no | — |
| 645 | C2×D4 | — | 2 | 1 | no | — |
| 646 | C2×D4 | — | 5 | 2 | no | — |
| 647 | C2×D4 | — | 5 | 2 | no | — |
| 648 | C2×D4 | — | 5 | 2 | no | — |
| 649 | C2×D4 | — | 5 | 2 | no | — |
| 650 | C2×D4 | — | 5 | 1 | no | — |
| 651 | C2×D4 | — | 5 | 1 | no | — |
| 652 | C2×D4 | — | 10 | 2 | no | — |
| 653 | C2×D4 | — | 10 | 2 | no | — |
| 654 | C2×D4 | — | 10 | 4 | no | — |
| 655 | C2×D4 | — | 10 | 2 | no | — |
| 656 | C2×D4 | — | 10 | 1 | no | — |
| 657 | C2×D4 | — | 10 | 1 | no | — |
| 658 | C2×D4 | — | 10 | 1 | no | — |
| 659 | C2×D4 | — | 10 | 1 | no | — |
| 660 | C2×D4 | — | 20 | 2 | no | — |
| 661 | C2×D4 | — | 20 | 2 | no | — |
| 662 | C2×D4 | — | 20 | 1 | no | — |
| 663 | C2×D4 | — | 20 | 2 | no | — |
| 664 | C2×D4 | — | 20 | 1 | no | — |
| 665 | C2×D4 | — | 20 | 4 | no | — |
| 666 | C2×D4 | — | 20 | 4 | no | — |
| 667 | C2×D4 | — | 20 | 2 | no | — |
| 668 | C2×D4 | — | 20 | 2 | no | — |
| 669 | C2×D4 | — | 20 | 2 | no | — |
| 670 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 671 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 672 | C22×C4 | — | 2 | 1 | no | — |
| 673 | C22×C4 | — | 2 | 1 | no | — |
| 674 | C22×C4 | — | 5 | 2 | no | — |
| 675 | C22×C4 | — | 10 | 2 | no | — |
| 676 | C22×C4 | — | 10 | 1 | no | — |
| 677 | C22×C4 | — | 10 | 1 | no | — |
| 678 | C22×C4 | — | 20 | 2 | no | — |
| 679 | C22×C4 | — | 20 | 2 | no | — |
| 680 | C22×C4 | — | 20 | 2 | no | — |
| 681 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 682 | Q16 | — | 2 | 2 | no | — |
| 683 | Q16 | — | 10 | 2 | no | — |
| 684 | Q16 | — | 20 | 2 | no | — |
| 685 | SD16 | — | 2 | 2 | no | — |
| 686 | SD16 | — | 2 | 2 | no | — |
| 687 | SD16 | — | 10 | 4 | no | — |
| 688 | SD16 | — | 10 | 2 | no | — |
| 689 | SD16 | — | 10 | 4 | no | — |
| 690 | SD16 | — | 10 | 2 | no | — |
| 691 | SD16 | — | 20 | 4 | no | — |
| 692 | SD16 | — | 20 | 2 | no | — |
| 693 | D8 | — | 2 | 2 | no | — |
| 694 | D8 | — | 10 | 4 | no | — |
| 695 | D8 | — | 10 | 4 | no | — |
| 696 | D8 | — | 10 | 2 | no | — |
| 697 | M16 | — | 2 | 1 | no | — |
| 698 | M16 | — | 2 | 1 | no | — |
| 699 | M16 | — | 10 | 4 | no | — |
| 700 | M16 | — | 10 | 1 | no | — |
| 701 | M16 | — | 10 | 1 | no | — |
| 702 | M16 | — | 10 | 1 | no | — |
| 703 | M16 | — | 10 | 1 | no | — |
| 704 | C2×C8 | — | 2 | 1 | no | — |
| 705 | C2×C8 | — | 2 | 1 | no | — |
| 706 | C2×C8 | — | 2 | 1 | no | — |
| 707 | C2×C8 | — | 5 | 2 | no | — |
| 708 | C2×C8 | — | 10 | 4 | no | — |
| 709 | C2×C8 | — | 10 | 1 | no | — |
| 710 | C2×C8 | D4×D5 | 1 | 2 | yes | — |
| 711 | C4⋊C4 | — | 2 | 1 | no | — |
| 712 | C4⋊C4 | — | 2 | 1 | no | — |
| 713 | C4⋊C4 | — | 2 | 1 | no | — |
| 714 | C4⋊C4 | — | 10 | 1 | no | — |
| 715 | C4⋊C4 | — | 10 | 1 | no | — |
| 716 | C4⋊C4 | — | 20 | 2 | no | — |
| 717 | C4⋊C4 | — | 20 | 2 | no | — |
| 718 | C4⋊C4 | — | 20 | 2 | no | — |
| 719 | C22⋊C4 | — | 2 | 1 | no | — |
| 720 | C22⋊C4 | — | 2 | 1 | no | — |
| 721 | C22⋊C4 | — | 5 | 2 | no | — |
| 722 | C22⋊C4 | — | 10 | 1 | no | — |
| 723 | C22⋊C4 | — | 20 | 2 | no | — |
| 724 | C22⋊C4 | — | 20 | 2 | no | — |
| 725 | C22⋊C4 | — | 20 | 2 | no | — |
| 726 | C22⋊C4 | — | 20 | 2 | no | — |
| 727 | C22⋊C4 | — | 20 | 2 | no | — |
| 728 | C22⋊C4 | D4×D5 | 1 | 2 | yes | — |
| 729 | C42 | — | 2 | 1 | no | — |
| 730 | C42 | — | 2 | 1 | no | — |
| 731 | C42 | — | 2 | 1 | no | — |
| 732 | C42 | — | 10 | 1 | no | — |
| 733 | C42 | — | 10 | 1 | no | — |
| 734 | C2×C5 | — | 2 | 1 | no | — |
| 735 | C2×C5 | — | 2 | 1 | no | — |
| 736 | C2×C5 | — | 2 | 1 | no | — |
| 737 | C2×C5 | — | 8 | 1 | no | — |
| 738 | C2×C5 | — | 8 | 1 | no | — |
| 739 | C2×C5 | #2410 | 1 | 1 | yes | characteristic |
| 740 | D5 | — | 4 | 2 | no | — |
| 741 | D5 | — | 4 | 4 | no | — |
| 742 | D5 | — | 8 | 1 | no | — |
| 743 | C23 | — | 2 | 1 | no | — |
| 744 | C23 | — | 2 | 1 | no | — |
| 745 | C23 | — | 5 | 2 | no | — |
| 746 | C23 | — | 10 | 2 | no | — |
| 747 | C23 | — | 10 | 2 | no | — |
| 748 | C23 | — | 10 | 2 | no | — |
| 749 | C23 | — | 10 | 1 | no | — |
| 750 | C23 | — | 20 | 4 | no | — |
| 751 | C23 | — | 20 | 2 | no | — |
| 752 | C23 | — | 80 | 1 | no | — |
| 753 | C23 | — | 80 | 2 | no | — |
| 754 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 755 | Q8 | — | 2 | 1 | no | — |
| 756 | Q8 | — | 2 | 1 | no | — |
| 757 | Q8 | — | 2 | 1 | no | — |
| 758 | Q8 | — | 2 | 1 | no | — |
| 759 | Q8 | — | 10 | 1 | no | — |
| 760 | Q8 | — | 10 | 1 | no | — |
| 761 | Q8 | — | 10 | 1 | no | — |
| 762 | Q8 | — | 10 | 1 | no | — |
| 763 | Q8 | — | 20 | 2 | no | — |
| 764 | Q8 | — | 20 | 1 | no | — |
| 765 | Q8 | — | 20 | 1 | no | — |
| 766 | Q8 | — | 20 | 1 | no | — |
| 767 | Q8 | — | 20 | 1 | no | — |
| 768 | D4 | — | 2 | 1 | no | — |
| 769 | D4 | — | 2 | 1 | no | — |
| 770 | D4 | — | 2 | 1 | no | — |
| 771 | D4 | — | 2 | 1 | no | — |
| 772 | D4 | — | 4 | 1 | no | — |
| 773 | D4 | — | 4 | 1 | no | — |
| 774 | D4 | — | 4 | 1 | no | — |
| 775 | D4 | — | 4 | 1 | no | — |
| 776 | D4 | — | 5 | 4 | no | — |
| 777 | D4 | — | 10 | 2 | no | — |
| 778 | D4 | — | 10 | 2 | no | — |
| 779 | D4 | — | 10 | 1 | no | — |
| 780 | D4 | — | 10 | 2 | no | — |
| 781 | D4 | — | 10 | 2 | no | — |
| 782 | D4 | — | 10 | 1 | no | — |
| 783 | D4 | — | 10 | 2 | no | — |
| 784 | D4 | — | 10 | 1 | no | — |
| 785 | D4 | — | 10 | 1 | no | — |
| 786 | D4 | — | 20 | 4 | no | — |
| 787 | D4 | — | 20 | 2 | no | — |
| 788 | D4 | — | 20 | 4 | no | — |
| 789 | D4 | — | 20 | 2 | no | — |
| 790 | D4 | — | 20 | 2 | no | — |
| 791 | D4 | — | 20 | 1 | no | — |
| 792 | D4 | — | 20 | 1 | no | — |
| 793 | C2×C4 | — | 2 | 1 | no | — |
| 794 | C2×C4 | — | 2 | 2 | no | — |
| 795 | C2×C4 | — | 2 | 1 | no | — |
| 796 | C2×C4 | — | 4 | 1 | no | — |
| 797 | C2×C4 | — | 4 | 1 | no | — |
| 798 | C2×C4 | — | 4 | 1 | no | — |
| 799 | C2×C4 | — | 4 | 1 | no | — |
| 800 | C2×C4 | — | 4 | 1 | no | — |
| 801 | C2×C4 | — | 4 | 1 | no | — |
| 802 | C2×C4 | — | 5 | 2 | no | — |
| 803 | C2×C4 | — | 10 | 2 | no | — |
| 804 | C2×C4 | — | 10 | 2 | no | — |
| 805 | C2×C4 | — | 10 | 2 | no | — |
| 806 | C2×C4 | — | 10 | 1 | no | — |
| 807 | C2×C4 | — | 20 | 4 | no | — |
| 808 | C2×C4 | — | 20 | 2 | no | — |
| 809 | C2×C4 | — | 20 | 2 | no | — |
| 810 | C2×C4 | — | 20 | 2 | no | — |
| 811 | C2×C4 | — | 20 | 1 | no | — |
| 812 | C2×C4 | — | 20 | 1 | no | — |
| 813 | C2×C4 | — | 20 | 1 | no | — |
| 814 | C2×C4 | — | 20 | 1 | no | — |
| 815 | C2×C4 | — | 20 | 1 | no | — |
| 816 | C2×C4 | — | 20 | 1 | no | — |
| 817 | C2×C4 | — | 80 | 2 | no | — |
| 818 | C2×C4 | — | 80 | 2 | no | — |
| 819 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 820 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 821 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 822 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 823 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 824 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 825 | C8 | — | 2 | 2 | no | — |
| 826 | C8 | — | 4 | 1 | no | — |
| 827 | C8 | — | 10 | 2 | no | — |
| 828 | C8 | — | 20 | 1 | no | — |
| 829 | C5 | #24409 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 830 | C22 | — | 4 | 1 | no | — |
| 831 | C22 | — | 4 | 1 | no | — |
| 832 | C22 | — | 4 | 1 | no | — |
| 833 | C22 | — | 8 | 1 | no | — |
| 834 | C22 | — | 8 | 1 | no | — |
| 835 | C22 | — | 10 | 2 | no | — |
| 836 | C22 | — | 10 | 4 | no | — |
| 837 | C22 | — | 20 | 2 | no | — |
| 838 | C22 | — | 20 | 1 | no | — |
| 839 | C22 | — | 40 | 2 | no | — |
| 840 | C22 | — | 40 | 2 | no | — |
| 841 | C22 | — | 40 | 2 | no | — |
| 842 | C22 | — | 40 | 1 | no | — |
| 843 | C22 | — | 80 | 4 | no | — |
| 844 | C22 | — | 80 | 2 | no | — |
| 845 | C22 | D5×#121 | 1 | 1 | yes | characteristic |
| 846 | C22 | #65943 | 1 | 1 | yes | characteristic |
| 847 | C22 | #65943 | 1 | 1 | yes | characteristic |
| 848 | C4 | — | 4 | 2 | no | — |
| 849 | C4 | — | 4 | 1 | no | — |
| 850 | C4 | — | 4 | 1 | no | — |
| 851 | C4 | — | 8 | 1 | no | — |
| 852 | C4 | — | 8 | 1 | no | — |
| 853 | C4 | — | 10 | 2 | no | — |
| 854 | C4 | — | 20 | 2 | no | — |
| 855 | C4 | — | 20 | 1 | no | — |
| 856 | C4 | — | 40 | 1 | no | — |
| 857 | C4 | — | 40 | 1 | no | — |
| 858 | C4 | D5×#120 | 1 | 1 | yes | characteristic |
| 859 | C4 | #65987 | 1 | 1 | yes | characteristic |
| 860 | C4 | #65988 | 1 | 1 | yes | characteristic |
| 861 | C4 | #66010 | 1 | 1 | yes | characteristic |
| 862 | C2 | — | 2 | 1 | no | — |
| 863 | C2 | — | 2 | 1 | no | — |
| 864 | C2 | — | 2 | 1 | no | — |
| 865 | C2 | — | 8 | 1 | no | — |
| 866 | C2 | — | 8 | 1 | no | — |
| 867 | C2 | — | 20 | 2 | no | — |
| 868 | C2 | — | 20 | 4 | no | — |
| 869 | C2 | — | 40 | 1 | no | — |
| 870 | C2 | #10608839 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10610818 | C2 | semidirect |
| 3. #10610594 | C2 | semidirect |
| 4. #10610566 | C2 | semidirect |
| 5. #10610425 | C2 | semidirect |
| 6. #10610423 | C2 | semidirect |
| 7. C5×#2053 | C2 | semidirect |
| 8. #10602913 | C2 | semidirect |
| 9. #10601339 | C2 | semidirect |
| 10. #10601089 | C2 | semidirect |
| 11. #10601088 | C2 | semidirect |
| 12. #10600846 | C2 | semidirect |
| 13. #10600842 | C2 | semidirect |
| 14. #10599505 | C2 | semidirect |
| 15. #10599497 | C2 | semidirect |
| 19. #66159 | C22 | semidirect |
| 20. C2×#4097 | C22 | semidirect |
| 31. C22×#677 | C22 | semidirect |
| 33. #65860 | C22 | semidirect |
| 34. #65855 | C22 | semidirect |
| 35. #65855 | C22 | semidirect |
| 36. C5×#424 | C22 | semidirect |
| 37. C5×#416 | C22 | semidirect |
| 38. C5×#416 | C22 | semidirect |
| 39. C5×#410 | C22 | semidirect |
| 40. C5×#410 | C22 | semidirect |
| 41. #65529 | C22 | semidirect |
| 42. #65525 | C22 | semidirect |
| 43. #65409 | C22 | semidirect |
| 44. #65402 | C22 | semidirect |
| 46. #65391 | C22 | semidirect |
| 49. #65295 | C22 | semidirect |
| 50. #65294 | C22 | semidirect |
| 51. #65293 | C22 | semidirect |
| 52. #65290 | C22 | semidirect |
| 61. C5×H(3,ℤ/4) | C22 | semidirect |
| 62. #64776 | C22 | semidirect |
| 63. #64753 | C22 | semidirect |
| 64. #64751 | C22 | semidirect |
| 181. #2053 | D5 | semidirect |
| 352. #424 | C2×D5 | semidirect |
| 359. #416 | C2×D5 | semidirect |
| 360. #416 | C2×D5 | semidirect |
| 365. #410 | C2×D5 | semidirect |
| 366. #410 | C2×D5 | semidirect |
| 372. H(3,ℤ/4) | C2×D5 | semidirect |
| 829. C5 | #24409 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10619101 | 2 |
| #10610818 | 2 |
| #10610594 | 2 |
| #10610566 | 2 |
| #10610425 | 2 |
| #10610423 | 2 |
| C5×#2053 | 2 |
| #10602913 | 2 |
| #10601339 | 2 |
| #10601089 | 2 |
| #10601088 | 2 |
| #10600846 | 2 |
| #10600842 | 2 |
| #10599505 | 2 |
| #10599497 | 2 |
| #24409 | 5 |