Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
1618 conjugacy classes of subgroups.
The subgroup lattice has 938 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13107815 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#65811 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13105924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13105915 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#11716672 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×C5×#3937 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13101268 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13100581 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13100580 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13100577 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #13100576 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×#87900 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C5×#709 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C5×#709 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C5×#709 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | #11717495 | — | 2 | 2 | no | — |
| 17 | #11717473 | — | 2 | 1 | no | — |
| 18 | #11717472 | — | 2 | 1 | no | — |
| 19 | #11717472 | C22 | 1 | 2 | yes | — |
| 20 | #11717471 | — | 2 | 2 | no | — |
| 21 | D5×#709 | — | 2 | 2 | no | — |
| 22 | D5×#709 | — | 2 | 2 | no | — |
| 23 | #11717463 | — | 2 | 1 | no | — |
| 24 | #11717462 | — | 2 | 1 | no | — |
| 25 | #11717462 | C22 | 1 | 2 | yes | — |
| 26 | C2×C42×C52 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#87804 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C5×#4076 | — | 2 | 2 | no | — |
| 29 | C2×C5×#681 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#4021 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C5×#4021 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C5×#4020 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C4×C5×D20 | — | 2 | 2 | no | — |
| 34 | C5×#4015 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #11716951 | C22 | 1 | 2 | yes | complemented |
| 36 | #11716949 | — | 2 | 1 | no | — |
| 37 | #11716948 | C22 | 1 | 2 | yes | complemented |
| 38 | #11716947 | — | 2 | 2 | no | — |
| 39 | #11716945 | — | 2 | 1 | no | — |
| 40 | #11716945 | C22 | 1 | 2 | yes | complemented |
| 41 | #11716943 | — | 2 | 1 | no | — |
| 42 | #11716941 | — | 2 | 1 | no | — |
| 43 | #11716941 | C22 | 1 | 2 | yes | complemented |
| 44 | #11716940 | — | 2 | 2 | no | — |
| 45 | #11716672 | C22 | 1 | 2 | yes | complemented |
| 46 | #11716672 | C22 | 1 | 2 | yes | complemented |
| 47 | C5×#3937 | C22 | 1 | 2 | yes | complemented |
| 48 | C5×#3937 | C22 | 1 | 2 | yes | complemented |
| 49 | #11716601 | C22 | 1 | 2 | yes | complemented |
| 50 | #11716599 | C22 | 1 | 2 | yes | complemented |
| 51 | #10615053 | — | 5 | 1 | no | maximal |
| 52 | #10610717 | — | 5 | 1 | no | maximal |
| 53 | C22×C4×C52 | — | 2 | 1 | no | — |
| 54 | C22×C4×C52 | C23 | 1 | 1 | yes | characteristic |
| 55 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 56 | #87900 | — | 2 | 1 | no | — |
| 57 | #87900 | — | 2 | 1 | no | — |
| 58 | #87900 | D4 | 1 | 2 | yes | complemented |
| 59 | #87900 | C23 | 1 | 2 | yes | — |
| 60 | C2×C4⋊(C5⋊D5) | D4 | 1 | 1 | yes | characteristic, complemented |
| 61 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 62 | C2×#6045 | D4 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×C5×C22⋊D5 | — | 2 | 1 | no | — |
| 64 | C2×C5×C22⋊D5 | — | 2 | 1 | no | — |
| 65 | C2×C5×C22⋊D5 | D4 | 1 | 2 | yes | — |
| 66 | C5×#709 | — | 2 | 1 | no | — |
| 67 | C5×#709 | — | 2 | 1 | no | — |
| 68 | C5×#709 | — | 2 | 1 | no | — |
| 69 | C5×#709 | — | 2 | 1 | no | — |
| 70 | C5×#709 | — | 2 | 1 | no | — |
| 71 | C5×#709 | — | 2 | 1 | no | — |
| 72 | C5×#709 | — | 2 | 1 | no | — |
| 73 | C5×#709 | — | 2 | 1 | no | — |
| 74 | C5×#709 | — | 2 | 1 | no | — |
| 75 | C5×#709 | — | 2 | 1 | no | — |
| 76 | C5×#709 | D4 | 1 | 2 | yes | complemented |
| 77 | C5×#709 | C23 | 1 | 2 | yes | — |
| 78 | C2×C5×D20 | — | 2 | 2 | no | — |
| 79 | C2×C5×D20 | D4 | 1 | 1 | yes | characteristic, complemented |
| 80 | C2×C5×D20 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C5×D20 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C4×C5×D5 | — | 2 | 1 | no | — |
| 83 | C2×C4×C5×D5 | — | 2 | 1 | no | — |
| 84 | C2×C4×C5×D5 | D4 | 1 | 2 | yes | — |
| 85 | C2×C5×Dic10 | D4 | 1 | 1 | yes | characteristic, complemented |
| 86 | C2×C5×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C5×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 88 | #87886 | — | 2 | 4 | no | — |
| 89 | D5×C22⋊D5 | — | 2 | 4 | no | — |
| 90 | D5×C22⋊D5 | — | 2 | 4 | no | — |
| 91 | #87880 | — | 2 | 4 | no | — |
| 92 | #87879 | — | 2 | 4 | no | — |
| 93 | #87879 | — | 2 | 4 | no | — |
| 94 | #87877 | — | 2 | 2 | no | — |
| 95 | D5×D20 | — | 2 | 2 | no | — |
| 96 | D5×D20 | — | 2 | 2 | no | — |
| 97 | C4×D52 | — | 2 | 4 | no | — |
| 98 | #87874 | — | 2 | 2 | no | — |
| 99 | #87874 | — | 2 | 2 | no | — |
| 100 | #87873 | — | 2 | 4 | no | — |
| 101 | #87872 | — | 2 | 2 | no | — |
| 102 | #87871 | — | 2 | 2 | no | — |
| 103 | #87871 | — | 2 | 2 | no | — |
| 104 | #87870 | — | 2 | 2 | no | — |
| 105 | #87870 | — | 2 | 2 | no | — |
| 106 | D5×Dic10 | — | 2 | 2 | no | — |
| 107 | D5×Dic10 | — | 2 | 2 | no | — |
| 108 | C42×C52 | — | 2 | 1 | no | — |
| 109 | C42×C52 | C23 | 1 | 1 | yes | characteristic |
| 110 | C42×C52 | C23 | 1 | 1 | yes | characteristic |
| 111 | #87804 | — | 2 | 1 | no | — |
| 112 | #87804 | C23 | 1 | 2 | yes | — |
| 113 | C2×#6029 | — | 2 | 1 | no | — |
| 114 | C5×#685 | — | 2 | 2 | no | — |
| 115 | C5×#685 | — | 2 | 2 | no | — |
| 116 | C5×C4⋊Dic5 | — | 2 | 2 | no | — |
| 117 | C5×#681 | — | 2 | 1 | no | — |
| 118 | C5×#681 | C23 | 1 | 2 | yes | — |
| 119 | C2×C5×#168 | — | 2 | 1 | no | — |
| 120 | #87776 | — | 2 | 2 | no | — |
| 121 | #87775 | — | 2 | 2 | no | — |
| 122 | #87774 | — | 2 | 2 | no | — |
| 123 | #87773 | — | 2 | 2 | no | — |
| 124 | #87772 | — | 2 | 2 | no | — |
| 125 | #87772 | — | 2 | 2 | no | — |
| 126 | #87771 | — | 2 | 2 | no | — |
| 127 | #87770 | — | 2 | 2 | no | — |
| 128 | #66283 | — | 5 | 1 | no | — |
| 129 | #66283 | — | 5 | 1 | no | — |
| 130 | C5×#532 | — | 5 | 1 | no | — |
| 131 | #66156 | — | 5 | 1 | no | — |
| 132 | #66156 | — | 5 | 1 | no | — |
| 133 | #66156 | — | 5 | 1 | no | — |
| 134 | #66082 | — | 5 | 1 | no | — |
| 135 | #65811 | D5 | 1 | 1 | yes | characteristic, complemented |
| 136 | C2×C5×#104 | — | 5 | 1 | no | — |
| 137 | #65526 | — | 5 | 1 | no | — |
| 138 | #65421 | — | 5 | 1 | no | — |
| 139 | #65384 | — | 5 | 2 | no | — |
| 140 | #65366 | — | 5 | 2 | no | — |
| 141 | #65351 | — | 5 | 2 | no | — |
| 142 | #65350 | — | 5 | 2 | no | — |
| 143 | C2×#3937 | — | 5 | 1 | no | — |
| 144 | C2×#3937 | — | 5 | 1 | no | — |
| 145 | C2×#3937 | — | 10 | 2 | no | — |
| 146 | C2×#3937 | D5 | 1 | 1 | yes | characteristic, complemented |
| 147 | #65116 | — | 5 | 2 | no | — |
| 148 | #65115 | — | 5 | 2 | no | — |
| 149 | #65114 | — | 5 | 2 | no | — |
| 150 | #65111 | — | 5 | 2 | no | — |
| 151 | C23×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 153 | C22×C5×D5 | — | 2 | 1 | no | — |
| 154 | C22×C5×D5 | — | 2 | 1 | no | — |
| 155 | C22×C5×D5 | C2×D4 | 1 | 2 | yes | — |
| 156 | C2×D52 | — | 2 | 4 | no | — |
| 157 | C2×C4×C52 | — | 2 | 1 | no | — |
| 158 | C2×C4×C52 | — | 2 | 1 | no | — |
| 159 | C2×C4×C52 | — | 4 | 2 | no | — |
| 160 | C2×C4×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C2×C4×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×C4×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×C4×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C52 | C24 | 1 | 1 | yes | characteristic |
| 166 | C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 167 | C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 168 | C2×#1039 | — | 2 | 1 | no | — |
| 169 | C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 170 | C4⋊(C5⋊D5) | C2×D4 | 1 | 2 | yes | — |
| 171 | C4×C5⋊D5 | — | 2 | 2 | no | — |
| 172 | C4×C5⋊D5 | — | 2 | 2 | no | — |
| 173 | #6045 | — | 2 | 1 | no | — |
| 174 | #6045 | C2×D4 | 1 | 2 | yes | — |
| 175 | C5×C22⋊D5 | — | 2 | 2 | no | — |
| 176 | C5×C22⋊D5 | — | 2 | 2 | no | — |
| 177 | C5×C22⋊D5 | — | 2 | 2 | no | — |
| 178 | C5×C22⋊D5 | — | 2 | 2 | no | — |
| 179 | C5×C22⋊D5 | — | 4 | 1 | no | — |
| 180 | C5×C22⋊D5 | — | 4 | 1 | no | — |
| 181 | C2×C5×Dic5 | — | 2 | 1 | no | — |
| 182 | C2×C5×Dic5 | — | 2 | 1 | no | — |
| 183 | C2×C5×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 184 | C5×D20 | — | 2 | 1 | no | — |
| 185 | C5×D20 | — | 2 | 1 | no | — |
| 186 | C5×D20 | — | 2 | 1 | no | — |
| 187 | C5×D20 | — | 2 | 1 | no | — |
| 188 | C5×D20 | — | 2 | 1 | no | — |
| 189 | C5×D20 | — | 4 | 4 | no | — |
| 190 | C5×D20 | C2×D4 | 1 | 2 | yes | — |
| 191 | C4×C5×D5 | — | 2 | 2 | no | — |
| 192 | C4×C5×D5 | — | 2 | 2 | no | — |
| 193 | C4×C5×D5 | — | 2 | 2 | no | — |
| 194 | C4×C5×D5 | — | 2 | 2 | no | — |
| 195 | C4×C5×D5 | — | 4 | 1 | no | — |
| 196 | C4×C5×D5 | — | 4 | 1 | no | — |
| 197 | C5×Dic10 | — | 2 | 1 | no | — |
| 198 | C5×Dic10 | — | 2 | 1 | no | — |
| 199 | C5×Dic10 | — | 2 | 1 | no | — |
| 200 | C5×Dic10 | — | 2 | 1 | no | — |
| 201 | C5×Dic10 | — | 2 | 1 | no | — |
| 202 | C5×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 203 | #6039 | — | 2 | 4 | no | — |
| 204 | #6038 | — | 2 | 4 | no | — |
| 205 | #6038 | — | 2 | 4 | no | — |
| 206 | #6037 | — | 2 | 4 | no | — |
| 207 | #6036 | — | 2 | 4 | no | — |
| 208 | D5×Dic5 | — | 2 | 4 | no | — |
| 209 | D5×Dic5 | — | 2 | 4 | no | — |
| 210 | #6029 | — | 2 | 2 | no | — |
| 211 | C5×#168 | — | 2 | 2 | no | — |
| 212 | C2×C5×#41 | — | 5 | 1 | no | — |
| 213 | C2×C5×#41 | — | 5 | 1 | no | — |
| 214 | C2×C5×#41 | — | 5 | 1 | no | — |
| 215 | #4150 | — | 5 | 2 | no | — |
| 216 | #4150 | — | 10 | 1 | no | — |
| 217 | #4150 | — | 10 | 1 | no | — |
| 218 | #4150 | — | 10 | 1 | no | — |
| 219 | #4149 | — | 5 | 2 | no | — |
| 220 | #4149 | — | 10 | 1 | no | — |
| 221 | #4149 | — | 10 | 1 | no | — |
| 222 | #4149 | — | 10 | 1 | no | — |
| 223 | D5×#41 | — | 10 | 2 | no | — |
| 224 | D5×#41 | — | 10 | 2 | no | — |
| 225 | D5×#41 | — | 10 | 2 | no | — |
| 226 | D5×#41 | — | 10 | 2 | no | — |
| 227 | #4147 | — | 5 | 2 | no | — |
| 228 | #4147 | — | 10 | 1 | no | — |
| 229 | #4144 | — | 5 | 2 | no | — |
| 230 | #4144 | — | 10 | 1 | no | — |
| 231 | #4144 | — | 10 | 2 | no | — |
| 232 | #4144 | — | 10 | 2 | no | — |
| 233 | C2×#709 | — | 5 | 1 | no | — |
| 234 | C2×#709 | — | 5 | 1 | no | — |
| 235 | C2×#709 | — | 10 | 2 | no | — |
| 236 | C2×#709 | — | 10 | 2 | no | — |
| 237 | C2×#709 | — | 10 | 2 | no | — |
| 238 | C2×#709 | C2×D5 | 1 | 1 | yes | characteristic |
| 239 | C2×#709 | C2×D5 | 1 | 1 | yes | characteristic |
| 240 | C2×#709 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 241 | C2×C5×M16 | — | 5 | 1 | no | — |
| 242 | C5×C4⋊Q8 | — | 5 | 1 | no | — |
| 243 | C5×#127 | — | 5 | 1 | no | — |
| 244 | C5×#124 | — | 5 | 1 | no | — |
| 245 | C5×#124 | — | 5 | 1 | no | — |
| 246 | C5×#121 | — | 10 | 2 | no | — |
| 247 | C4×C5×D4 | — | 10 | 2 | no | — |
| 248 | C2×C42×C5 | — | 2 | 2 | no | — |
| 249 | C2×C42×C5 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 250 | C2×C42×C5 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 251 | #4097 | — | 5 | 2 | no | — |
| 252 | #4097 | — | 10 | 1 | no | — |
| 253 | #4097 | — | 10 | 1 | no | — |
| 254 | #4096 | — | 10 | 2 | no | — |
| 255 | #4096 | — | 10 | 2 | no | — |
| 256 | #4096 | — | 10 | 2 | no | — |
| 257 | #4095 | — | 5 | 2 | no | — |
| 258 | #4095 | — | 10 | 1 | no | — |
| 259 | #4095 | — | 10 | 1 | no | — |
| 260 | #4088 | — | 5 | 2 | no | — |
| 261 | #4088 | — | 5 | 2 | no | — |
| 262 | #4088 | — | 10 | 1 | no | — |
| 263 | #4078 | — | 5 | 2 | no | — |
| 264 | #4078 | — | 5 | 2 | no | — |
| 265 | #4078 | — | 10 | 1 | no | — |
| 266 | #4076 | — | 2 | 2 | no | — |
| 267 | C2×#681 | — | 5 | 1 | no | — |
| 268 | C2×#681 | — | 5 | 1 | no | — |
| 269 | C2×#681 | — | 10 | 2 | no | — |
| 270 | C2×#681 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 271 | #4055 | — | 5 | 2 | no | — |
| 272 | #4055 | — | 10 | 1 | no | — |
| 273 | #4054 | — | 5 | 2 | no | — |
| 274 | #4054 | — | 10 | 1 | no | — |
| 275 | #4050 | — | 10 | 2 | no | — |
| 276 | #4021 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 277 | #4021 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 278 | #4020 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 279 | C4×D20 | — | 2 | 2 | no | — |
| 280 | #4015 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 281 | C5×#104 | — | 5 | 2 | no | — |
| 282 | C5×#104 | — | 5 | 2 | no | — |
| 283 | #3968 | — | 5 | 2 | no | — |
| 284 | #3965 | — | 5 | 2 | no | — |
| 285 | #3956 | — | 5 | 2 | no | — |
| 286 | #3955 | — | 5 | 2 | no | — |
| 287 | #3937 | — | 5 | 2 | no | — |
| 288 | #3937 | — | 5 | 2 | no | — |
| 289 | #3937 | — | 5 | 2 | no | — |
| 290 | #3937 | — | 5 | 2 | no | — |
| 291 | #3937 | — | 10 | 4 | no | — |
| 292 | #3937 | — | 10 | 4 | no | — |
| 293 | #3937 | C2×D5 | 1 | 2 | yes | complemented |
| 294 | #3937 | C2×D5 | 1 | 2 | yes | complemented |
| 295 | #3018 | — | 25 | 1 | no | Sylow |
| 296 | C22×C52 | — | 4 | 1 | no | — |
| 297 | C22×C52 | #120 | 1 | 1 | yes | characteristic |
| 298 | C22×C52 | #120 | 1 | 1 | yes | characteristic |
| 299 | C22×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 300 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 301 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 302 | C2×C5×D5 | — | 2 | 2 | no | — |
| 303 | C2×C5×D5 | — | 2 | 2 | no | — |
| 304 | C2×C5×D5 | — | 4 | 2 | no | — |
| 305 | C2×C5×D5 | — | 4 | 2 | no | — |
| 306 | C2×C5×D5 | — | 4 | 1 | no | — |
| 307 | C2×C5×D5 | — | 8 | 1 | no | — |
| 308 | D52 | — | 8 | 4 | no | — |
| 309 | C4×C52 | — | 2 | 2 | no | — |
| 310 | C4×C52 | — | 4 | 1 | no | — |
| 311 | C4×C52 | #120 | 1 | 1 | yes | characteristic |
| 312 | C4×C52 | #120 | 1 | 1 | yes | characteristic |
| 313 | C4×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 314 | C4×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 315 | #1039 | — | 2 | 2 | no | — |
| 316 | C5×Dic5 | — | 2 | 2 | no | — |
| 317 | C5×Dic5 | — | 2 | 2 | no | — |
| 318 | C5×Dic5 | — | 4 | 1 | no | — |
| 319 | C5×#41 | — | 5 | 2 | no | — |
| 320 | C5×#41 | — | 5 | 2 | no | — |
| 321 | C5×#41 | — | 10 | 1 | no | — |
| 322 | C5×#41 | — | 10 | 1 | no | — |
| 323 | C5×#41 | — | 10 | 1 | no | — |
| 324 | C5×#41 | — | 10 | 1 | no | — |
| 325 | C5×#41 | — | 10 | 1 | no | — |
| 326 | C5×#41 | — | 10 | 1 | no | — |
| 327 | C5×#41 | — | 10 | 1 | no | — |
| 328 | C5×#41 | — | 10 | 1 | no | — |
| 329 | C5×#41 | — | 10 | 1 | no | — |
| 330 | C5×#41 | — | 10 | 1 | no | — |
| 331 | C2×C5×Q8 | — | 5 | 1 | no | — |
| 332 | C2×C5×Q8 | — | 5 | 1 | no | — |
| 333 | C2×C5×Q8 | — | 5 | 1 | no | — |
| 334 | C2×C5×D4 | — | 5 | 2 | no | — |
| 335 | C2×C5×D4 | — | 5 | 1 | no | — |
| 336 | C2×C5×D4 | — | 5 | 1 | no | — |
| 337 | C2×C5×D4 | — | 5 | 1 | no | — |
| 338 | C2×C5×D4 | — | 10 | 2 | no | — |
| 339 | C2×C5×D4 | — | 10 | 1 | no | — |
| 340 | C2×C5×D4 | — | 10 | 1 | no | — |
| 341 | C22×C4×C5 | — | 2 | 1 | no | — |
| 342 | C22×C4×C5 | — | 2 | 1 | no | — |
| 343 | C22×C4×C5 | — | 2 | 2 | no | — |
| 344 | C22×C4×C5 | — | 4 | 2 | no | — |
| 345 | C22×C4×C5 | — | 5 | 2 | no | — |
| 346 | C22×C4×C5 | — | 10 | 1 | no | — |
| 347 | C22×C4×C5 | — | 10 | 1 | no | — |
| 348 | C22×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 349 | C22×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 350 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 351 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 352 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 353 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 354 | C2×C22⋊D5 | — | 10 | 1 | no | — |
| 355 | C2×C22⋊D5 | — | 10 | 1 | no | — |
| 356 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 357 | C2×C22⋊D5 | C22⋊D5 | 1 | 2 | yes | — |
| 358 | #713 | — | 10 | 2 | no | — |
| 359 | #713 | — | 10 | 2 | no | — |
| 360 | #713 | — | 10 | 2 | no | — |
| 361 | #713 | — | 10 | 2 | no | — |
| 362 | Q8×D5 | — | 10 | 2 | no | — |
| 363 | Q8×D5 | — | 10 | 2 | no | — |
| 364 | Q8×D5 | — | 10 | 2 | no | — |
| 365 | Q8×D5 | — | 10 | 2 | no | — |
| 366 | #711 | — | 10 | 2 | no | — |
| 367 | #711 | — | 10 | 2 | no | — |
| 368 | #711 | — | 10 | 2 | no | — |
| 369 | #711 | — | 10 | 4 | no | — |
| 370 | #711 | — | 10 | 4 | no | — |
| 371 | #711 | — | 10 | 4 | no | — |
| 372 | #711 | — | 10 | 4 | no | — |
| 373 | #711 | — | 10 | 2 | no | — |
| 374 | D4×D5 | — | 10 | 2 | no | — |
| 375 | D4×D5 | — | 10 | 2 | no | — |
| 376 | D4×D5 | — | 10 | 2 | no | — |
| 377 | D4×D5 | — | 10 | 4 | no | — |
| 378 | D4×D5 | — | 10 | 4 | no | — |
| 379 | D4×D5 | — | 10 | 4 | no | — |
| 380 | D4×D5 | — | 10 | 4 | no | — |
| 381 | D4×D5 | — | 10 | 2 | no | — |
| 382 | #709 | — | 2 | 1 | no | — |
| 383 | #709 | — | 2 | 1 | no | — |
| 384 | #709 | — | 2 | 1 | no | — |
| 385 | #709 | — | 2 | 1 | no | — |
| 386 | #709 | — | 2 | 1 | no | — |
| 387 | #709 | — | 2 | 1 | no | — |
| 388 | #709 | — | 2 | 1 | no | — |
| 389 | #709 | — | 2 | 1 | no | — |
| 390 | #709 | — | 2 | 1 | no | — |
| 391 | #709 | — | 2 | 1 | no | — |
| 392 | #709 | — | 5 | 2 | no | — |
| 393 | #709 | — | 5 | 2 | no | — |
| 394 | #709 | — | 5 | 2 | no | — |
| 395 | #709 | — | 5 | 2 | no | — |
| 396 | #709 | — | 10 | 4 | no | — |
| 397 | #709 | — | 10 | 4 | no | — |
| 398 | #709 | — | 10 | 2 | no | — |
| 399 | #709 | — | 10 | 2 | no | — |
| 400 | #709 | — | 10 | 2 | no | — |
| 401 | #709 | — | 10 | 4 | no | — |
| 402 | #709 | — | 10 | 4 | no | — |
| 403 | #709 | — | 10 | 2 | no | — |
| 404 | #709 | — | 10 | 4 | no | — |
| 405 | #709 | — | 10 | 4 | no | — |
| 406 | #709 | — | 10 | 1 | no | — |
| 407 | #709 | — | 10 | 1 | no | — |
| 408 | #709 | — | 10 | 1 | no | — |
| 409 | #709 | — | 10 | 1 | no | — |
| 410 | #709 | — | 20 | 2 | no | — |
| 411 | #709 | — | 20 | 2 | no | — |
| 412 | #709 | D20 | 1 | 2 | yes | complemented |
| 413 | #709 | C22×D5 | 1 | 2 | yes | — |
| 414 | C2×D20 | — | 2 | 2 | no | — |
| 415 | C2×D20 | — | 5 | 1 | no | — |
| 416 | C2×D20 | — | 5 | 1 | no | — |
| 417 | C2×D20 | — | 10 | 2 | no | — |
| 418 | C2×D20 | — | 10 | 2 | no | — |
| 419 | C2×D20 | — | 10 | 2 | no | — |
| 420 | C2×D20 | D20 | 1 | 1 | yes | characteristic, complemented |
| 421 | C2×D20 | C22×D5 | 1 | 1 | yes | characteristic |
| 422 | C2×D20 | C22×D5 | 1 | 1 | yes | characteristic |
| 423 | C2×C4×D5 | — | 2 | 1 | no | — |
| 424 | C2×C4×D5 | — | 2 | 1 | no | — |
| 425 | C2×C4×D5 | — | 10 | 4 | no | — |
| 426 | C2×C4×D5 | — | 10 | 4 | no | — |
| 427 | C2×C4×D5 | — | 10 | 1 | no | — |
| 428 | C2×C4×D5 | — | 10 | 1 | no | — |
| 429 | C2×C4×D5 | — | 20 | 2 | no | — |
| 430 | C2×C4×D5 | C22⋊D5 | 1 | 2 | yes | — |
| 431 | C2×Dic10 | — | 5 | 1 | no | — |
| 432 | C2×Dic10 | — | 5 | 1 | no | — |
| 433 | C2×Dic10 | — | 10 | 2 | no | — |
| 434 | C2×Dic10 | — | 10 | 2 | no | — |
| 435 | C2×Dic10 | — | 10 | 2 | no | — |
| 436 | C2×Dic10 | D20 | 1 | 1 | yes | characteristic, complemented |
| 437 | C2×Dic10 | C22×D5 | 1 | 1 | yes | characteristic |
| 438 | C2×Dic10 | C22×D5 | 1 | 1 | yes | characteristic |
| 439 | C5×M16 | — | 5 | 2 | no | — |
| 440 | C5×M16 | — | 10 | 1 | no | — |
| 441 | C2×C5×C8 | — | 10 | 1 | no | — |
| 442 | C5×C4⋊C4 | — | 10 | 2 | no | — |
| 443 | C5×C22⋊C4 | — | 10 | 2 | no | — |
| 444 | C5×C22⋊C4 | — | 10 | 2 | no | — |
| 445 | C42×C5 | — | 2 | 1 | no | — |
| 446 | C42×C5 | — | 2 | 1 | no | — |
| 447 | C42×C5 | — | 2 | 2 | no | — |
| 448 | C42×C5 | — | 2 | 2 | no | — |
| 449 | C42×C5 | — | 4 | 2 | no | — |
| 450 | C42×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 451 | C42×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 452 | C42×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 453 | C42×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 454 | #689 | — | 10 | 2 | no | — |
| 455 | #689 | — | 10 | 2 | no | — |
| 456 | #689 | — | 10 | 2 | no | — |
| 457 | #688 | — | 10 | 2 | no | — |
| 458 | #688 | — | 10 | 2 | no | — |
| 459 | #688 | — | 10 | 2 | no | — |
| 460 | #687 | — | 10 | 2 | no | — |
| 461 | #687 | — | 10 | 2 | no | — |
| 462 | #687 | — | 10 | 2 | no | — |
| 463 | #686 | — | 10 | 2 | no | — |
| 464 | #686 | — | 10 | 2 | no | — |
| 465 | #686 | — | 10 | 2 | no | — |
| 466 | #685 | — | 2 | 2 | no | — |
| 467 | #685 | — | 2 | 2 | no | — |
| 468 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 469 | #681 | — | 2 | 1 | no | — |
| 470 | #681 | — | 5 | 2 | no | — |
| 471 | #681 | — | 5 | 2 | no | — |
| 472 | #681 | — | 10 | 4 | no | — |
| 473 | #681 | — | 10 | 1 | no | — |
| 474 | #681 | — | 10 | 1 | no | — |
| 475 | #681 | — | 20 | 2 | no | — |
| 476 | #681 | C22×D5 | 1 | 2 | yes | — |
| 477 | C2×#168 | — | 2 | 1 | no | — |
| 478 | C2×#168 | — | 10 | 1 | no | — |
| 479 | C2×#168 | — | 10 | 1 | no | — |
| 480 | C2×#168 | — | 20 | 2 | no | — |
| 481 | Dic20 | — | 10 | 2 | no | — |
| 482 | D40 | — | 10 | 2 | no | — |
| 483 | #677 | — | 10 | 2 | no | — |
| 484 | #677 | — | 10 | 2 | no | — |
| 485 | #585 | — | 25 | 1 | no | — |
| 486 | #575 | — | 25 | 1 | no | — |
| 487 | #575 | — | 25 | 1 | no | — |
| 488 | #532 | — | 5 | 1 | no | — |
| 489 | #456 | — | 25 | 2 | no | — |
| 490 | #455 | — | 25 | 2 | no | — |
| 491 | #454 | — | 25 | 2 | no | — |
| 492 | #453 | — | 25 | 2 | no | — |
| 493 | C2×#104 | — | 5 | 1 | no | — |
| 494 | C2×#104 | — | 25 | 1 | no | — |
| 495 | #413 | — | 25 | 1 | no | — |
| 496 | C2×C52 | — | 2 | 1 | no | — |
| 497 | C2×C52 | — | 2 | 1 | no | — |
| 498 | C2×C52 | — | 2 | 1 | no | — |
| 499 | C2×C52 | C2×#120 | 1 | 1 | yes | characteristic |
| 500 | C5⋊D5 | — | 4 | 2 | no | — |
| 501 | C5×D5 | — | 4 | 2 | no | — |
| 502 | C5×D5 | — | 4 | 2 | no | — |
| 503 | C5×D5 | — | 8 | 1 | no | — |
| 504 | C23×C5 | — | 2 | 2 | no | — |
| 505 | C23×C5 | — | 5 | 2 | no | — |
| 506 | C23×C5 | — | 10 | 1 | no | — |
| 507 | C23×C5 | — | 10 | 1 | no | — |
| 508 | C23×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 509 | C23×C5 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 510 | C22×D5 | — | 2 | 1 | no | — |
| 511 | C22×D5 | — | 2 | 1 | no | — |
| 512 | C22×D5 | — | 10 | 4 | no | — |
| 513 | C22×D5 | — | 10 | 4 | no | — |
| 514 | C22×D5 | — | 10 | 1 | no | — |
| 515 | C22×D5 | — | 10 | 1 | no | — |
| 516 | C22×D5 | — | 20 | 2 | no | — |
| 517 | C22×D5 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 518 | C5×Q8 | — | 5 | 2 | no | — |
| 519 | C5×Q8 | — | 10 | 1 | no | — |
| 520 | C5×Q8 | — | 10 | 1 | no | — |
| 521 | C5×Q8 | — | 10 | 1 | no | — |
| 522 | C5×Q8 | — | 10 | 1 | no | — |
| 523 | C5×Q8 | — | 10 | 1 | no | — |
| 524 | C5×D4 | — | 5 | 2 | no | — |
| 525 | C5×D4 | — | 10 | 2 | no | — |
| 526 | C5×D4 | — | 10 | 2 | no | — |
| 527 | C5×D4 | — | 10 | 2 | no | — |
| 528 | C5×D4 | — | 10 | 2 | no | — |
| 529 | C5×D4 | — | 10 | 1 | no | — |
| 530 | C5×D4 | — | 10 | 1 | no | — |
| 531 | C5×D4 | — | 10 | 1 | no | — |
| 532 | C5×D4 | — | 10 | 1 | no | — |
| 533 | C5×D4 | — | 10 | 1 | no | — |
| 534 | C5×D4 | — | 20 | 4 | no | — |
| 535 | C5×D4 | — | 20 | 1 | no | — |
| 536 | C5×D4 | — | 20 | 1 | no | — |
| 537 | C2×C4×C5 | — | 2 | 1 | no | — |
| 538 | C2×C4×C5 | — | 2 | 1 | no | — |
| 539 | C2×C4×C5 | — | 2 | 1 | no | — |
| 540 | C2×C4×C5 | — | 2 | 1 | no | — |
| 541 | C2×C4×C5 | — | 2 | 2 | no | — |
| 542 | C2×C4×C5 | — | 2 | 2 | no | — |
| 543 | C2×C4×C5 | — | 2 | 2 | no | — |
| 544 | C2×C4×C5 | — | 2 | 2 | no | — |
| 545 | C2×C4×C5 | — | 2 | 2 | no | — |
| 546 | C2×C4×C5 | — | 2 | 2 | no | — |
| 547 | C2×C4×C5 | — | 4 | 2 | no | — |
| 548 | C2×C4×C5 | — | 4 | 2 | no | — |
| 549 | C2×C4×C5 | — | 4 | 2 | no | — |
| 550 | C2×C4×C5 | — | 4 | 2 | no | — |
| 551 | C2×C4×C5 | — | 4 | 8 | no | — |
| 552 | C2×C4×C5 | — | 5 | 2 | no | — |
| 553 | C2×C4×C5 | — | 10 | 1 | no | — |
| 554 | C2×C4×C5 | — | 10 | 2 | no | — |
| 555 | C2×C4×C5 | — | 10 | 2 | no | — |
| 556 | C2×C4×C5 | — | 10 | 2 | no | — |
| 557 | C2×C4×C5 | — | 10 | 2 | no | — |
| 558 | C2×C4×C5 | — | 10 | 1 | no | — |
| 559 | C2×C4×C5 | — | 20 | 1 | no | — |
| 560 | C2×C4×C5 | — | 20 | 1 | no | — |
| 561 | C2×C4×C5 | C2×D20 | 1 | 1 | yes | characteristic |
| 562 | C2×C4×C5 | C2×D20 | 1 | 1 | yes | characteristic |
| 563 | C2×C4×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 564 | C2×C4×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 565 | C2×C4×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 566 | C2×C4×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 567 | C2×C4×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 568 | C2×C4×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 569 | C2×C4×C5 | D4×D5 | 1 | 1 | yes | characteristic |
| 570 | C2×C4×C5 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 571 | C2×C4×C5 | C23×D5 | 1 | 1 | yes | characteristic |
| 572 | C2×C4×C5 | C23×D5 | 1 | 1 | yes | characteristic |
| 573 | C22⋊D5 | — | 2 | 2 | no | — |
| 574 | C22⋊D5 | — | 2 | 2 | no | — |
| 575 | C22⋊D5 | — | 2 | 2 | no | — |
| 576 | C22⋊D5 | — | 2 | 2 | no | — |
| 577 | C22⋊D5 | — | 4 | 1 | no | — |
| 578 | C22⋊D5 | — | 4 | 1 | no | — |
| 579 | C22⋊D5 | — | 10 | 4 | no | — |
| 580 | C22⋊D5 | — | 10 | 4 | no | — |
| 581 | C22⋊D5 | — | 10 | 4 | no | — |
| 582 | C22⋊D5 | — | 10 | 4 | no | — |
| 583 | C22⋊D5 | — | 10 | 2 | no | — |
| 584 | C22⋊D5 | — | 10 | 2 | no | — |
| 585 | C22⋊D5 | — | 10 | 2 | no | — |
| 586 | C22⋊D5 | — | 10 | 2 | no | — |
| 587 | C22⋊D5 | — | 20 | 4 | no | — |
| 588 | C22⋊D5 | — | 20 | 4 | no | — |
| 589 | C2×Dic5 | — | 2 | 1 | no | — |
| 590 | C2×Dic5 | — | 2 | 1 | no | — |
| 591 | C2×Dic5 | — | 10 | 4 | no | — |
| 592 | C2×Dic5 | — | 10 | 4 | no | — |
| 593 | C2×Dic5 | — | 10 | 1 | no | — |
| 594 | C2×Dic5 | — | 10 | 1 | no | — |
| 595 | C2×Dic5 | — | 20 | 2 | no | — |
| 596 | C2×Dic5 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 597 | D20 | — | 2 | 1 | no | — |
| 598 | D20 | — | 2 | 1 | no | — |
| 599 | D20 | — | 2 | 1 | no | — |
| 600 | D20 | — | 2 | 1 | no | — |
| 601 | D20 | — | 2 | 1 | no | — |
| 602 | D20 | — | 4 | 4 | no | — |
| 603 | D20 | — | 5 | 2 | no | — |
| 604 | D20 | — | 5 | 2 | no | — |
| 605 | D20 | — | 10 | 4 | no | — |
| 606 | D20 | — | 10 | 4 | no | — |
| 607 | D20 | — | 10 | 4 | no | — |
| 608 | D20 | — | 10 | 1 | no | — |
| 609 | D20 | — | 10 | 1 | no | — |
| 610 | D20 | — | 20 | 2 | no | — |
| 611 | D20 | C2×D20 | 1 | 2 | yes | — |
| 612 | C4×D5 | — | 2 | 2 | no | — |
| 613 | C4×D5 | — | 2 | 2 | no | — |
| 614 | C4×D5 | — | 2 | 2 | no | — |
| 615 | C4×D5 | — | 2 | 2 | no | — |
| 616 | C4×D5 | — | 4 | 1 | no | — |
| 617 | C4×D5 | — | 4 | 1 | no | — |
| 618 | C4×D5 | — | 10 | 4 | no | — |
| 619 | C4×D5 | — | 10 | 4 | no | — |
| 620 | C4×D5 | — | 10 | 4 | no | — |
| 621 | C4×D5 | — | 10 | 4 | no | — |
| 622 | C4×D5 | — | 10 | 2 | no | — |
| 623 | C4×D5 | — | 10 | 2 | no | — |
| 624 | C4×D5 | — | 10 | 2 | no | — |
| 625 | C4×D5 | — | 10 | 2 | no | — |
| 626 | C4×D5 | — | 20 | 4 | no | — |
| 627 | C4×D5 | — | 20 | 4 | no | — |
| 628 | Dic10 | — | 2 | 1 | no | — |
| 629 | Dic10 | — | 2 | 1 | no | — |
| 630 | Dic10 | — | 2 | 1 | no | — |
| 631 | Dic10 | — | 2 | 1 | no | — |
| 632 | Dic10 | — | 2 | 1 | no | — |
| 633 | Dic10 | — | 5 | 2 | no | — |
| 634 | Dic10 | — | 5 | 2 | no | — |
| 635 | Dic10 | — | 10 | 4 | no | — |
| 636 | Dic10 | — | 10 | 4 | no | — |
| 637 | Dic10 | — | 10 | 4 | no | — |
| 638 | Dic10 | — | 10 | 1 | no | — |
| 639 | Dic10 | — | 10 | 1 | no | — |
| 640 | Dic10 | — | 20 | 2 | no | — |
| 641 | Dic10 | C2×D20 | 1 | 2 | yes | — |
| 642 | C5×C8 | — | 10 | 2 | no | — |
| 643 | #168 | — | 2 | 2 | no | — |
| 644 | #168 | — | 10 | 2 | no | — |
| 645 | #168 | — | 10 | 2 | no | — |
| 646 | #168 | — | 20 | 4 | no | — |
| 647 | 2−1+4 | — | 25 | 2 | no | — |
| 648 | 2−1+4 | — | 50 | 1 | no | — |
| 649 | 2−1+4 | — | 50 | 1 | no | — |
| 650 | H(5,𝔽2) | — | 25 | 2 | no | — |
| 651 | H(5,𝔽2) | — | 50 | 2 | no | — |
| 652 | H(5,𝔽2) | — | 50 | 1 | no | — |
| 653 | H(5,𝔽2) | — | 50 | 1 | no | — |
| 654 | C2×#41 | — | 5 | 1 | no | — |
| 655 | C2×#41 | — | 5 | 1 | no | — |
| 656 | C2×#41 | — | 5 | 1 | no | — |
| 657 | C2×#41 | — | 25 | 1 | no | — |
| 658 | C2×#41 | — | 50 | 2 | no | — |
| 659 | C2×#41 | — | 50 | 2 | no | — |
| 660 | C2×#41 | — | 50 | 2 | no | — |
| 661 | #137 | — | 25 | 2 | no | — |
| 662 | #137 | — | 25 | 2 | no | — |
| 663 | #137 | — | 50 | 1 | no | — |
| 664 | #137 | — | 50 | 1 | no | — |
| 665 | AGL(1,ℤ/8) | — | 25 | 2 | no | — |
| 666 | AGL(1,ℤ/8) | — | 25 | 2 | no | — |
| 667 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 668 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 669 | #135 | — | 50 | 2 | no | — |
| 670 | #135 | — | 50 | 2 | no | — |
| 671 | C2×M16 | — | 5 | 1 | no | — |
| 672 | C2×M16 | — | 25 | 1 | no | — |
| 673 | C4⋊Q8 | — | 5 | 1 | no | — |
| 674 | #127 | — | 5 | 1 | no | — |
| 675 | #124 | — | 5 | 1 | no | — |
| 676 | #124 | — | 5 | 1 | no | — |
| 677 | #121 | — | 10 | 2 | no | — |
| 678 | C4×D4 | — | 10 | 2 | no | — |
| 679 | C2×C42 | D52 | 1 | 1 | yes | characteristic, complemented |
| 680 | #104 | — | 5 | 2 | no | — |
| 681 | #104 | — | 5 | 2 | no | — |
| 682 | #104 | — | 25 | 2 | no | — |
| 683 | #104 | — | 25 | 2 | no | — |
| 684 | #101 | — | 25 | 2 | no | — |
| 685 | #100 | — | 25 | 2 | no | — |
| 686 | C52 | #3018 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 687 | C22×C5 | — | 2 | 2 | no | — |
| 688 | C22×C5 | — | 2 | 2 | no | — |
| 689 | C22×C5 | — | 2 | 2 | no | — |
| 690 | C22×C5 | — | 4 | 1 | no | — |
| 691 | C22×C5 | — | 4 | 1 | no | — |
| 692 | C22×C5 | — | 4 | 4 | no | — |
| 693 | C22×C5 | — | 10 | 2 | no | — |
| 694 | C22×C5 | — | 10 | 2 | no | — |
| 695 | C22×C5 | — | 20 | 2 | no | — |
| 696 | C22×C5 | — | 20 | 2 | no | — |
| 697 | C22×C5 | — | 20 | 1 | no | — |
| 698 | C22×C5 | — | 40 | 1 | no | — |
| 699 | C22×C5 | #4028 | 1 | 1 | yes | characteristic |
| 700 | C22×C5 | #4028 | 1 | 1 | yes | characteristic |
| 701 | C22×C5 | #4083 | 1 | 1 | yes | characteristic |
| 702 | C22×C5 | #4083 | 1 | 1 | yes | characteristic |
| 703 | C22×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 704 | C22×C5 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 705 | C2×D5 | — | 2 | 2 | no | — |
| 706 | C2×D5 | — | 2 | 2 | no | — |
| 707 | C2×D5 | — | 4 | 2 | no | — |
| 708 | C2×D5 | — | 4 | 2 | no | — |
| 709 | C2×D5 | — | 4 | 1 | no | — |
| 710 | C2×D5 | — | 8 | 1 | no | — |
| 711 | C2×D5 | — | 10 | 2 | no | — |
| 712 | C2×D5 | — | 10 | 2 | no | — |
| 713 | C2×D5 | — | 20 | 4 | no | — |
| 714 | C2×D5 | — | 40 | 4 | no | — |
| 715 | C2×D5 | — | 40 | 4 | no | — |
| 716 | C2×D5 | — | 40 | 1 | no | — |
| 717 | C2×D5 | — | 40 | 1 | no | — |
| 718 | C2×D5 | — | 40 | 4 | no | — |
| 719 | C4×C5 | — | 2 | 2 | no | — |
| 720 | C4×C5 | — | 2 | 2 | no | — |
| 721 | C4×C5 | — | 2 | 2 | no | — |
| 722 | C4×C5 | — | 2 | 2 | no | — |
| 723 | C4×C5 | — | 2 | 2 | no | — |
| 724 | C4×C5 | — | 2 | 2 | no | — |
| 725 | C4×C5 | — | 4 | 4 | no | — |
| 726 | C4×C5 | — | 4 | 1 | no | — |
| 727 | C4×C5 | — | 4 | 1 | no | — |
| 728 | C4×C5 | — | 4 | 4 | no | — |
| 729 | C4×C5 | — | 10 | 2 | no | — |
| 730 | C4×C5 | — | 10 | 2 | no | — |
| 731 | C4×C5 | — | 20 | 1 | no | — |
| 732 | C4×C5 | #4028 | 1 | 1 | yes | characteristic |
| 733 | C4×C5 | #4028 | 1 | 1 | yes | characteristic |
| 734 | C4×C5 | #4083 | 1 | 1 | yes | characteristic |
| 735 | C4×C5 | #4083 | 1 | 1 | yes | characteristic |
| 736 | C4×C5 | C22×D20 | 1 | 1 | yes | characteristic |
| 737 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 738 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 739 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 740 | Dic5 | — | 2 | 2 | no | — |
| 741 | Dic5 | — | 2 | 2 | no | — |
| 742 | Dic5 | — | 4 | 1 | no | — |
| 743 | Dic5 | — | 10 | 2 | no | — |
| 744 | Dic5 | — | 10 | 2 | no | — |
| 745 | Dic5 | — | 20 | 4 | no | — |
| 746 | #41 | — | 5 | 2 | no | — |
| 747 | #41 | — | 5 | 2 | no | — |
| 748 | #41 | — | 10 | 1 | no | — |
| 749 | #41 | — | 10 | 1 | no | — |
| 750 | #41 | — | 10 | 1 | no | — |
| 751 | #41 | — | 10 | 1 | no | — |
| 752 | #41 | — | 10 | 1 | no | — |
| 753 | #41 | — | 10 | 1 | no | — |
| 754 | #41 | — | 10 | 1 | no | — |
| 755 | #41 | — | 10 | 1 | no | — |
| 756 | #41 | — | 10 | 1 | no | — |
| 757 | #41 | — | 10 | 1 | no | — |
| 758 | #41 | — | 25 | 2 | no | — |
| 759 | #41 | — | 25 | 2 | no | — |
| 760 | #41 | — | 50 | 4 | no | — |
| 761 | #41 | — | 50 | 4 | no | — |
| 762 | #41 | — | 50 | 2 | no | — |
| 763 | #41 | — | 50 | 4 | no | — |
| 764 | #41 | — | 50 | 2 | no | — |
| 765 | #41 | — | 50 | 2 | no | — |
| 766 | #41 | — | 50 | 2 | no | — |
| 767 | #41 | — | 50 | 2 | no | — |
| 768 | #41 | — | 50 | 4 | no | — |
| 769 | #41 | — | 50 | 2 | no | — |
| 770 | #41 | — | 50 | 1 | no | — |
| 771 | #41 | — | 50 | 1 | no | — |
| 772 | C2×Q8 | — | 5 | 1 | no | — |
| 773 | C2×Q8 | — | 5 | 1 | no | — |
| 774 | C2×Q8 | — | 5 | 1 | no | — |
| 775 | C2×Q8 | — | 25 | 1 | no | — |
| 776 | C2×Q8 | — | 50 | 2 | no | — |
| 777 | C2×Q8 | — | 50 | 2 | no | — |
| 778 | C2×Q8 | — | 50 | 2 | no | — |
| 779 | C2×D4 | — | 5 | 2 | no | — |
| 780 | C2×D4 | — | 5 | 1 | no | — |
| 781 | C2×D4 | — | 5 | 1 | no | — |
| 782 | C2×D4 | — | 5 | 1 | no | — |
| 783 | C2×D4 | — | 10 | 2 | no | — |
| 784 | C2×D4 | — | 10 | 1 | no | — |
| 785 | C2×D4 | — | 10 | 1 | no | — |
| 786 | C2×D4 | — | 25 | 1 | no | — |
| 787 | C2×D4 | — | 50 | 2 | no | — |
| 788 | C2×D4 | — | 50 | 2 | no | — |
| 789 | C2×D4 | — | 50 | 2 | no | — |
| 790 | C2×D4 | — | 50 | 4 | no | — |
| 791 | C2×D4 | — | 50 | 4 | no | — |
| 792 | C2×D4 | — | 50 | 4 | no | — |
| 793 | C2×D4 | — | 50 | 1 | no | — |
| 794 | C22×C4 | — | 2 | 1 | no | — |
| 795 | C22×C4 | — | 5 | 2 | no | — |
| 796 | C22×C4 | — | 10 | 1 | no | — |
| 797 | C22×C4 | — | 10 | 1 | no | — |
| 798 | C22×C4 | — | 50 | 4 | no | — |
| 799 | C22×C4 | — | 50 | 1 | no | — |
| 800 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 801 | Q16 | — | 50 | 2 | no | — |
| 802 | Q16 | — | 50 | 2 | no | — |
| 803 | SD16 | — | 50 | 2 | no | — |
| 804 | SD16 | — | 50 | 2 | no | — |
| 805 | SD16 | — | 50 | 2 | no | — |
| 806 | SD16 | — | 50 | 2 | no | — |
| 807 | D8 | — | 50 | 2 | no | — |
| 808 | D8 | — | 50 | 2 | no | — |
| 809 | M16 | — | 5 | 2 | no | — |
| 810 | M16 | — | 10 | 1 | no | — |
| 811 | M16 | — | 25 | 2 | no | — |
| 812 | M16 | — | 50 | 1 | no | — |
| 813 | C2×C8 | — | 10 | 1 | no | — |
| 814 | C2×C8 | — | 50 | 1 | no | — |
| 815 | C4⋊C4 | — | 10 | 2 | no | — |
| 816 | C22⋊C4 | — | 10 | 2 | no | — |
| 817 | C22⋊C4 | — | 10 | 2 | no | — |
| 818 | C42 | — | 2 | 1 | no | — |
| 819 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 820 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 821 | C2×C5 | — | 2 | 4 | no | — |
| 822 | C2×C5 | — | 2 | 1 | no | — |
| 823 | C2×C5 | — | 2 | 1 | no | — |
| 824 | C2×C5 | — | 2 | 1 | no | — |
| 825 | C2×C5 | — | 2 | 1 | no | — |
| 826 | C2×C5 | — | 2 | 1 | no | — |
| 827 | C2×C5 | — | 2 | 1 | no | — |
| 828 | C2×C5 | — | 2 | 2 | no | — |
| 829 | C2×C5 | — | 4 | 2 | no | — |
| 830 | C2×C5 | — | 4 | 2 | no | — |
| 831 | C2×C5 | — | 20 | 2 | no | — |
| 832 | C2×C5 | — | 20 | 2 | no | — |
| 833 | C2×C5 | — | 40 | 1 | no | — |
| 834 | C2×C5 | C2×#4028 | 1 | 1 | yes | characteristic |
| 835 | C2×C5 | C2×#4083 | 1 | 1 | yes | characteristic |
| 836 | D5 | — | 4 | 2 | no | — |
| 837 | D5 | — | 4 | 2 | no | — |
| 838 | D5 | — | 8 | 1 | no | — |
| 839 | D5 | — | 20 | 2 | no | — |
| 840 | D5 | — | 20 | 2 | no | — |
| 841 | D5 | — | 40 | 4 | no | — |
| 842 | C23 | — | 5 | 2 | no | — |
| 843 | C23 | — | 10 | 1 | no | — |
| 844 | C23 | — | 10 | 1 | no | — |
| 845 | C23 | — | 50 | 4 | no | — |
| 846 | C23 | — | 50 | 1 | no | — |
| 847 | C23 | D5×C22⋊D5 | 1 | 1 | yes | characteristic |
| 848 | Q8 | — | 5 | 2 | no | — |
| 849 | Q8 | — | 10 | 1 | no | — |
| 850 | Q8 | — | 10 | 1 | no | — |
| 851 | Q8 | — | 10 | 1 | no | — |
| 852 | Q8 | — | 10 | 1 | no | — |
| 853 | Q8 | — | 10 | 1 | no | — |
| 854 | Q8 | — | 25 | 2 | no | — |
| 855 | Q8 | — | 50 | 4 | no | — |
| 856 | Q8 | — | 50 | 1 | no | — |
| 857 | D4 | — | 5 | 2 | no | — |
| 858 | D4 | — | 10 | 2 | no | — |
| 859 | D4 | — | 10 | 2 | no | — |
| 860 | D4 | — | 10 | 2 | no | — |
| 861 | D4 | — | 10 | 2 | no | — |
| 862 | D4 | — | 10 | 1 | no | — |
| 863 | D4 | — | 10 | 1 | no | — |
| 864 | D4 | — | 10 | 1 | no | — |
| 865 | D4 | — | 10 | 1 | no | — |
| 866 | D4 | — | 10 | 1 | no | — |
| 867 | D4 | — | 20 | 4 | no | — |
| 868 | D4 | — | 20 | 1 | no | — |
| 869 | D4 | — | 20 | 1 | no | — |
| 870 | D4 | — | 25 | 2 | no | — |
| 871 | D4 | — | 50 | 4 | no | — |
| 872 | D4 | — | 50 | 4 | no | — |
| 873 | D4 | — | 50 | 4 | no | — |
| 874 | D4 | — | 50 | 2 | no | — |
| 875 | D4 | — | 50 | 2 | no | — |
| 876 | D4 | — | 50 | 1 | no | — |
| 877 | C2×C4 | — | 2 | 1 | no | — |
| 878 | C2×C4 | — | 2 | 1 | no | — |
| 879 | C2×C4 | — | 4 | 2 | no | — |
| 880 | C2×C4 | — | 5 | 2 | no | — |
| 881 | C2×C4 | — | 10 | 1 | no | — |
| 882 | C2×C4 | — | 10 | 2 | no | — |
| 883 | C2×C4 | — | 10 | 2 | no | — |
| 884 | C2×C4 | — | 10 | 2 | no | — |
| 885 | C2×C4 | — | 10 | 2 | no | — |
| 886 | C2×C4 | — | 10 | 1 | no | — |
| 887 | C2×C4 | — | 20 | 1 | no | — |
| 888 | C2×C4 | — | 20 | 1 | no | — |
| 889 | C2×C4 | — | 50 | 4 | no | — |
| 890 | C2×C4 | — | 50 | 4 | no | — |
| 891 | C2×C4 | — | 50 | 4 | no | — |
| 892 | C2×C4 | — | 50 | 1 | no | — |
| 893 | C2×C4 | — | 50 | 2 | no | — |
| 894 | C2×C4 | — | 50 | 2 | no | — |
| 895 | C2×C4 | D5×D20 | 1 | 1 | yes | characteristic |
| 896 | C2×C4 | D5×D20 | 1 | 1 | yes | characteristic |
| 897 | C2×C4 | #87877 | 1 | 1 | yes | characteristic |
| 898 | C2×C4 | #87877 | 1 | 1 | yes | characteristic |
| 899 | C2×C4 | D5×C22⋊D5 | 1 | 1 | yes | characteristic |
| 900 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 901 | C8 | — | 10 | 2 | no | — |
| 902 | C8 | — | 50 | 2 | no | — |
| 903 | C5 | — | 2 | 2 | no | — |
| 904 | C5 | #10610717 | 1 | 1 | yes | characteristic, complemented |
| 905 | C5 | #10615053 | 1 | 1 | yes | characteristic, complemented |
| 906 | C22 | — | 4 | 1 | no | — |
| 907 | C22 | — | 10 | 2 | no | — |
| 908 | C22 | — | 10 | 2 | no | — |
| 909 | C22 | — | 20 | 2 | no | — |
| 910 | C22 | — | 20 | 2 | no | — |
| 911 | C22 | — | 20 | 1 | no | — |
| 912 | C22 | — | 40 | 1 | no | — |
| 913 | C22 | — | 50 | 2 | no | — |
| 914 | C22 | — | 200 | 1 | no | — |
| 915 | C22 | — | 200 | 4 | no | — |
| 916 | C22 | #11717040 | 1 | 1 | yes | characteristic |
| 917 | C22 | #11717040 | 1 | 1 | yes | characteristic |
| 918 | C22 | C2×D5×C22⋊D5 | 1 | 1 | yes | characteristic |
| 919 | C4 | — | 2 | 2 | no | — |
| 920 | C4 | — | 4 | 1 | no | — |
| 921 | C4 | — | 10 | 2 | no | — |
| 922 | C4 | — | 10 | 2 | no | — |
| 923 | C4 | — | 20 | 1 | no | — |
| 924 | C4 | — | 50 | 2 | no | — |
| 925 | C4 | #11717040 | 1 | 1 | yes | characteristic |
| 926 | C4 | #11717040 | 1 | 1 | yes | characteristic |
| 927 | C4 | C2×D5×D20 | 1 | 1 | yes | characteristic |
| 928 | C4 | C2×#87877 | 1 | 1 | yes | characteristic |
| 929 | C2 | — | 2 | 1 | no | — |
| 930 | C2 | — | 2 | 1 | no | — |
| 931 | C2 | — | 2 | 1 | no | — |
| 932 | C2 | — | 20 | 2 | no | — |
| 933 | C2 | — | 20 | 2 | no | — |
| 934 | C2 | — | 40 | 1 | no | — |
| 935 | C2 | — | 100 | 2 | no | — |
| 936 | C2 | C2×#11717040 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13107815 | C2 | semidirect |
| 2. C5×#65811 | C2 | semidirect |
| 3. #13105924 | C2 | semidirect |
| 4. #13105915 | C2 | semidirect |
| 5. C2×#11716672 | C2 | semidirect |
| 6. C2×C5×#3937 | C2 | semidirect |
| 7. #13101268 | C2 | semidirect |
| 8. #13100581 | C2 | semidirect |
| 9. #13100580 | C2 | semidirect |
| 10. #13100577 | C2 | semidirect |
| 11. #13100576 | C2 | semidirect |
| 15. C2×C5×#709 | C22 | semidirect |
| 26. C2×C42×C52 | C22 | semidirect |
| 27. C2×#87804 | C22 | semidirect |
| 29. C2×C5×#681 | C22 | semidirect |
| 30. C5×#4021 | C22 | semidirect |
| 31. C5×#4021 | C22 | semidirect |
| 32. C5×#4020 | C22 | semidirect |
| 34. C5×#4015 | C22 | semidirect |
| 35. #11716951 | C22 | semidirect |
| 37. #11716948 | C22 | semidirect |
| 40. #11716945 | C22 | semidirect |
| 43. #11716941 | C22 | semidirect |
| 45. #11716672 | C22 | semidirect |
| 46. #11716672 | C22 | semidirect |
| 47. C5×#3937 | C22 | semidirect |
| 48. C5×#3937 | C22 | semidirect |
| 49. #11716601 | C22 | semidirect |
| 50. #11716599 | C22 | semidirect |
| 58. #87900 | D4 | semidirect |
| 60. C2×C4⋊(C5⋊D5) | D4 | semidirect |
| 62. C2×#6045 | D4 | semidirect |
| 76. C5×#709 | D4 | semidirect |
| 79. C2×C5×D20 | D4 | semidirect |
| 85. C2×C5×Dic10 | D4 | semidirect |
| 135. #65811 | D5 | semidirect |
| 146. C2×#3937 | D5 | semidirect |
| 240. C2×#709 | C2×D5 | semidirect |
| 249. C2×C42×C5 | C2×D5 | semidirect |
| 250. C2×C42×C5 | C2×D5 | semidirect |
| 270. C2×#681 | C2×D5 | semidirect |
| 276. #4021 | C2×D5 | semidirect |
| 277. #4021 | C2×D5 | semidirect |
| 278. #4020 | C2×D5 | semidirect |
| 280. #4015 | C2×D5 | semidirect |
| 293. #3937 | C2×D5 | semidirect |
| 294. #3937 | C2×D5 | semidirect |
| 412. #709 | D20 | semidirect |
| 420. C2×D20 | D20 | semidirect |
| 436. C2×Dic10 | D20 | semidirect |
| 679. C2×C42 | D52 | semidirect |
| 686. C52 | #3018 | semidirect |
| 904. C5 | #10610717 | semidirect |
| 905. C5 | #10615053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13107815 | 2 |
| C5×#65811 | 2 |
| #13105924 | 2 |
| #13105915 | 2 |
| C2×#11716672 | 2 |
| C2×C5×#3937 | 2 |
| #13101268 | 2 |
| #13100581 | 2 |
| #13100580 | 2 |
| #13100577 | 2 |
| #13100576 | 2 |
| #10615053 | 5 |
| #10610717 | 5 |