Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1196 conjugacy classes of subgroups.
The subgroup lattice has 1004 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10617890 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#3007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10615822 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10615811 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#64758 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10601776 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10601775 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10601774 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601773 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10601772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10601771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10601770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10601769 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10600769 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10600762 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C22×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C5×#137 | — | 2 | 1 | no | — |
| 18 | C2×C5×C22⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#4096 | — | 2 | 1 | no | — |
| 20 | #66150 | — | 2 | 1 | no | — |
| 21 | C2×#4085 | — | 2 | 1 | no | — |
| 22 | #66125 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#4075 | C22 | 1 | 1 | yes | characteristic |
| 24 | #65981 | — | 2 | 1 | no | — |
| 25 | #65980 | — | 2 | 1 | no | — |
| 26 | #65979 | C22 | 1 | 1 | yes | characteristic |
| 27 | #65978 | C22 | 1 | 1 | yes | characteristic |
| 28 | #65974 | — | 2 | 1 | no | — |
| 29 | #65972 | — | 2 | 1 | no | — |
| 30 | #65971 | — | 2 | 1 | no | — |
| 31 | #65970 | — | 2 | 1 | no | — |
| 32 | #65968 | C22 | 1 | 1 | yes | characteristic |
| 33 | #65957 | C22 | 1 | 1 | yes | characteristic |
| 34 | #65849 | — | 2 | 1 | no | — |
| 35 | #65847 | — | 2 | 1 | no | — |
| 36 | #65841 | — | 2 | 1 | no | — |
| 37 | #65829 | — | 2 | 1 | no | — |
| 38 | #65824 | — | 2 | 1 | no | — |
| 39 | C5×#452 | — | 2 | 1 | no | — |
| 40 | C5×#452 | — | 2 | 1 | no | — |
| 41 | C5×#451 | C22 | 1 | 1 | yes | characteristic |
| 42 | C5×#451 | C22 | 1 | 1 | yes | characteristic |
| 43 | C5×#450 | C22 | 1 | 1 | yes | characteristic |
| 44 | C5×#450 | C22 | 1 | 1 | yes | characteristic |
| 45 | C5×#417 | — | 2 | 1 | no | — |
| 46 | C5×#407 | C22 | 1 | 1 | yes | characteristic |
| 47 | #65528 | — | 2 | 1 | no | — |
| 48 | #65527 | — | 2 | 1 | no | — |
| 49 | #65522 | — | 2 | 1 | no | — |
| 50 | #65520 | C22 | 1 | 1 | yes | characteristic |
| 51 | #65518 | C22 | 1 | 1 | yes | characteristic |
| 52 | #65517 | C22 | 1 | 1 | yes | characteristic |
| 53 | #65516 | C22 | 1 | 1 | yes | characteristic |
| 54 | #65512 | C22 | 1 | 1 | yes | characteristic |
| 55 | #65511 | C22 | 1 | 1 | yes | characteristic |
| 56 | #65509 | — | 2 | 1 | no | — |
| 57 | #65507 | C22 | 1 | 1 | yes | characteristic |
| 58 | #65506 | C22 | 1 | 1 | yes | characteristic |
| 59 | #65502 | — | 2 | 1 | no | — |
| 60 | #65499 | — | 2 | 1 | no | — |
| 61 | C2×#3963 | C22 | 1 | 1 | yes | characteristic |
| 62 | C2×C22⋊#168 | C22 | 1 | 1 | yes | characteristic |
| 63 | #64758 | C22 | 1 | 1 | yes | characteristic |
| 64 | #64758 | C22 | 1 | 1 | yes | characteristic |
| 65 | #64758 | C22 | 1 | 1 | yes | characteristic |
| 66 | #64758 | C22 | 1 | 1 | yes | characteristic |
| 67 | #64690 | C22 | 1 | 1 | yes | characteristic |
| 68 | #64690 | C22 | 1 | 1 | yes | characteristic |
| 69 | #64689 | C22 | 1 | 1 | yes | characteristic |
| 70 | #64689 | C22 | 1 | 1 | yes | characteristic |
| 71 | #64688 | C22 | 1 | 1 | yes | characteristic |
| 72 | #64688 | C22 | 1 | 1 | yes | characteristic |
| 73 | #64687 | C22 | 1 | 1 | yes | characteristic |
| 74 | #64687 | C22 | 1 | 1 | yes | characteristic |
| 75 | #18253 | — | 5 | 1 | no | maximal, Sylow |
| 76 | C2×C5×#41 | — | 2 | 1 | no | — |
| 77 | C2×C5×#41 | — | 2 | 1 | no | — |
| 78 | C2×C5×#41 | — | 2 | 1 | no | — |
| 79 | C2×C5×#41 | — | 2 | 1 | no | — |
| 80 | C2×C5×#41 | — | 4 | 4 | no | — |
| 81 | C22×C5×Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 82 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C22×C5×D4 | — | 2 | 1 | no | — |
| 84 | C22×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 85 | C23×C4×C5 | — | 2 | 1 | no | — |
| 86 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×C22⋊D5 | — | 2 | 1 | no | — |
| 88 | C22×C22⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 89 | C23×Dic5 | — | 2 | 1 | no | — |
| 90 | C2×#709 | — | 2 | 1 | no | — |
| 91 | C2×#709 | D4 | 1 | 1 | yes | characteristic, complemented |
| 92 | C5×#137 | — | 4 | 4 | no | — |
| 93 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 94 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 95 | C2×C5×SD16 | — | 2 | 1 | no | — |
| 96 | C2×C5×SD16 | — | 2 | 1 | no | — |
| 97 | C2×C5×M16 | — | 2 | 1 | no | — |
| 98 | C5×C22⋊Q8 | — | 2 | 1 | no | — |
| 99 | C5×C22⋊Q8 | — | 2 | 1 | no | — |
| 100 | C5×C22⋊Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 101 | C5×C22⋊Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 102 | C5×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 103 | C5×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 105 | C2×C5×C4⋊C4 | D4 | 1 | 1 | yes | characteristic, complemented |
| 106 | C2×C5×C22⋊C4 | — | 2 | 1 | no | — |
| 107 | #4099 | — | 2 | 1 | no | — |
| 108 | C2×C22⋊Dic5 | — | 2 | 1 | no | — |
| 109 | C2×C22⋊Dic5 | — | 2 | 1 | no | — |
| 110 | C2×C22⋊Dic5 | — | 2 | 1 | no | — |
| 111 | C2×C22⋊Dic5 | D4 | 1 | 1 | yes | characteristic |
| 112 | #4096 | — | 4 | 4 | no | — |
| 113 | #4093 | — | 2 | 1 | no | — |
| 114 | #4093 | — | 2 | 1 | no | — |
| 115 | #4092 | — | 2 | 1 | no | — |
| 116 | #4092 | — | 2 | 1 | no | — |
| 117 | #4092 | — | 2 | 1 | no | — |
| 118 | #4092 | — | 2 | 1 | no | — |
| 119 | #4090 | — | 2 | 1 | no | — |
| 120 | #4090 | — | 2 | 1 | no | — |
| 121 | C2×#689 | — | 2 | 1 | no | — |
| 122 | C2×#688 | — | 2 | 1 | no | — |
| 123 | #4085 | — | 4 | 4 | no | — |
| 124 | C2×#687 | — | 2 | 1 | no | — |
| 125 | C2×#686 | — | 2 | 1 | no | — |
| 126 | #4076 | — | 2 | 1 | no | — |
| 127 | #4076 | D4 | 1 | 1 | yes | characteristic, complemented |
| 128 | #4076 | C23 | 1 | 1 | yes | characteristic |
| 129 | #4075 | — | 2 | 1 | no | — |
| 130 | #4075 | — | 2 | 1 | no | — |
| 131 | #4075 | — | 2 | 1 | no | — |
| 132 | #4075 | — | 2 | 1 | no | — |
| 133 | #4075 | — | 2 | 1 | no | — |
| 134 | #4075 | — | 2 | 1 | no | — |
| 135 | #4075 | — | 2 | 1 | no | — |
| 136 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 137 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 138 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 139 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 140 | C2×#685 | — | 2 | 1 | no | — |
| 141 | C2×#685 | D4 | 1 | 1 | yes | characteristic |
| 142 | C2×#685 | C23 | 1 | 1 | yes | characteristic |
| 143 | #4072 | — | 2 | 1 | no | — |
| 144 | #4072 | D4 | 1 | 1 | yes | characteristic, complemented |
| 145 | #4070 | — | 2 | 1 | no | — |
| 146 | #4070 | D4 | 1 | 1 | yes | characteristic, complemented |
| 147 | #4070 | C23 | 1 | 1 | yes | characteristic |
| 148 | C2×#683 | — | 2 | 1 | no | — |
| 149 | C2×#683 | D4 | 1 | 1 | yes | characteristic |
| 150 | C2×#683 | C23 | 1 | 1 | yes | characteristic |
| 151 | C22×#168 | — | 2 | 1 | no | — |
| 152 | #4044 | — | 2 | 1 | no | — |
| 153 | #4044 | — | 2 | 1 | no | — |
| 154 | #4044 | — | 2 | 1 | no | — |
| 155 | #4044 | — | 2 | 1 | no | — |
| 156 | #4043 | — | 2 | 1 | no | — |
| 157 | #4042 | — | 2 | 1 | no | — |
| 158 | #4042 | — | 2 | 1 | no | — |
| 159 | #4042 | — | 2 | 1 | no | — |
| 160 | #4042 | — | 2 | 1 | no | — |
| 161 | #4041 | — | 2 | 1 | no | — |
| 162 | #4040 | — | 2 | 1 | no | — |
| 163 | #4040 | — | 2 | 1 | no | — |
| 164 | #4040 | — | 2 | 1 | no | — |
| 165 | #4040 | — | 2 | 1 | no | — |
| 166 | #4039 | — | 2 | 1 | no | — |
| 167 | #4038 | — | 2 | 1 | no | — |
| 168 | D5×C4⋊C4 | — | 2 | 1 | no | — |
| 169 | #4036 | — | 2 | 1 | no | — |
| 170 | #4035 | — | 2 | 1 | no | — |
| 171 | #4035 | — | 2 | 1 | no | — |
| 172 | #4035 | — | 2 | 1 | no | — |
| 173 | #4035 | — | 2 | 1 | no | — |
| 174 | #4034 | — | 2 | 1 | no | — |
| 175 | #4033 | — | 2 | 1 | no | — |
| 176 | #4032 | — | 2 | 1 | no | — |
| 177 | #4031 | — | 2 | 1 | no | — |
| 178 | #4031 | — | 2 | 1 | no | — |
| 179 | #4030 | — | 2 | 1 | no | — |
| 180 | #4030 | — | 2 | 1 | no | — |
| 181 | #4029 | — | 2 | 1 | no | — |
| 182 | #4029 | — | 2 | 1 | no | — |
| 183 | #4028 | — | 2 | 1 | no | — |
| 184 | #4027 | — | 2 | 1 | no | — |
| 185 | #4027 | — | 2 | 1 | no | — |
| 186 | D5×C22⋊C4 | — | 2 | 1 | no | — |
| 187 | #4025 | — | 2 | 1 | no | — |
| 188 | #4025 | — | 2 | 1 | no | — |
| 189 | #4024 | — | 2 | 1 | no | — |
| 190 | #4024 | — | 2 | 1 | no | — |
| 191 | #4023 | — | 2 | 1 | no | — |
| 192 | C5×#103 | — | 2 | 1 | no | — |
| 193 | C5×#103 | — | 2 | 1 | no | — |
| 194 | C5×#102 | — | 2 | 1 | no | — |
| 195 | C5×#102 | — | 2 | 1 | no | — |
| 196 | C5×C22⋊C8 | — | 2 | 1 | no | — |
| 197 | C5×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 198 | C5×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 199 | #3967 | — | 2 | 1 | no | — |
| 200 | #3967 | — | 2 | 1 | no | — |
| 201 | #3964 | — | 2 | 1 | no | — |
| 202 | #3964 | — | 2 | 1 | no | — |
| 203 | #3963 | — | 2 | 1 | no | — |
| 204 | #3963 | — | 2 | 1 | no | — |
| 205 | #3963 | — | 2 | 1 | no | — |
| 206 | #3963 | C23 | 1 | 1 | yes | characteristic |
| 207 | #3963 | C23 | 1 | 1 | yes | characteristic |
| 208 | C22⋊#168 | — | 2 | 1 | no | — |
| 209 | C22⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 210 | C22⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 211 | #3535 | — | 5 | 1 | no | — |
| 212 | #3007 | D5 | 1 | 1 | yes | characteristic, complemented |
| 213 | #3002 | — | 5 | 1 | no | — |
| 214 | #2430 | — | 5 | 1 | no | — |
| 215 | #1606 | — | 5 | 1 | no | — |
| 216 | #1605 | — | 5 | 1 | no | — |
| 217 | #1603 | — | 5 | 1 | no | — |
| 218 | #1602 | — | 5 | 1 | no | — |
| 219 | #1600 | — | 5 | 1 | no | — |
| 220 | #1599 | — | 5 | 1 | no | — |
| 221 | #1597 | — | 5 | 1 | no | — |
| 222 | #1596 | — | 5 | 1 | no | — |
| 223 | #1504 | — | 5 | 1 | no | — |
| 224 | C2×#328 | — | 5 | 1 | no | — |
| 225 | #1468 | — | 5 | 1 | no | — |
| 226 | C24×C5 | — | 2 | 1 | no | — |
| 227 | C24×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C23×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | C5×#41 | — | 2 | 4 | no | — |
| 230 | C5×#41 | — | 2 | 4 | no | — |
| 231 | C5×#41 | — | 4 | 2 | no | — |
| 232 | C5×#41 | — | 4 | 2 | no | — |
| 233 | C5×#41 | — | 4 | 2 | no | — |
| 234 | C5×#41 | — | 4 | 2 | no | — |
| 235 | C5×#41 | — | 4 | 2 | no | — |
| 236 | C5×#41 | — | 4 | 2 | no | — |
| 237 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 238 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 239 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 240 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 241 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 242 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×C5×D4 | — | 2 | 4 | no | — |
| 245 | C2×C5×D4 | — | 2 | 1 | no | — |
| 246 | C2×C5×D4 | — | 2 | 1 | no | — |
| 247 | C2×C5×D4 | — | 4 | 2 | no | — |
| 248 | C2×C5×D4 | — | 4 | 2 | no | — |
| 249 | C2×C5×D4 | — | 4 | 1 | no | — |
| 250 | C2×C5×D4 | — | 4 | 1 | no | — |
| 251 | C22×C4×C5 | — | 2 | 1 | no | — |
| 252 | C22×C4×C5 | — | 2 | 1 | no | — |
| 253 | C22×C4×C5 | — | 2 | 1 | no | — |
| 254 | C22×C4×C5 | — | 4 | 2 | no | — |
| 255 | C22×C4×C5 | — | 4 | 2 | no | — |
| 256 | C22×C4×C5 | — | 4 | 2 | no | — |
| 257 | C22×C4×C5 | — | 4 | 1 | no | — |
| 258 | C22×C4×C5 | — | 4 | 1 | no | — |
| 259 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 265 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 266 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 267 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 268 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 269 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 270 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 271 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 272 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 273 | C2×C22⋊D5 | — | 8 | 1 | no | — |
| 274 | C22×Dic5 | — | 2 | 1 | no | — |
| 275 | C22×Dic5 | — | 2 | 1 | no | — |
| 276 | C22×Dic5 | — | 4 | 2 | no | — |
| 277 | C22×Dic5 | — | 4 | 2 | no | — |
| 278 | C22×Dic5 | — | 8 | 1 | no | — |
| 279 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | #709 | — | 4 | 2 | no | — |
| 283 | #709 | — | 8 | 2 | no | — |
| 284 | C2×D20 | — | 2 | 1 | no | — |
| 285 | C2×D20 | — | 2 | 1 | no | — |
| 286 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 287 | C2×C4×D5 | — | 2 | 1 | no | — |
| 288 | C2×C4×D5 | — | 2 | 1 | no | — |
| 289 | C2×C4×D5 | — | 2 | 1 | no | — |
| 290 | C2×C4×D5 | — | 2 | 1 | no | — |
| 291 | C2×C4×D5 | — | 2 | 1 | no | — |
| 292 | C2×Dic10 | — | 2 | 1 | no | — |
| 293 | C2×Dic10 | — | 2 | 1 | no | — |
| 294 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 295 | C5×Q16 | — | 4 | 2 | no | — |
| 296 | C5×Q16 | — | 4 | 2 | no | — |
| 297 | C5×SD16 | — | 4 | 2 | no | — |
| 298 | C5×SD16 | — | 4 | 2 | no | — |
| 299 | C5×M16 | — | 4 | 2 | no | — |
| 300 | C2×C5×C8 | — | 2 | 1 | no | — |
| 301 | C2×C5×C8 | — | 2 | 1 | no | — |
| 302 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 303 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 304 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 305 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 306 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 307 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 308 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 309 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 310 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 311 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 312 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 313 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 314 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 315 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 316 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 317 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 318 | C22⋊Dic5 | — | 4 | 2 | no | — |
| 319 | C22⋊Dic5 | — | 4 | 2 | no | — |
| 320 | C22⋊Dic5 | — | 8 | 1 | no | — |
| 321 | #689 | — | 4 | 2 | no | — |
| 322 | #688 | — | 4 | 2 | no | — |
| 323 | #687 | — | 4 | 2 | no | — |
| 324 | #686 | — | 4 | 2 | no | — |
| 325 | #685 | — | 2 | 1 | no | — |
| 326 | #685 | — | 2 | 1 | no | — |
| 327 | #685 | — | 2 | 1 | no | — |
| 328 | #685 | — | 2 | 1 | no | — |
| 329 | #685 | — | 2 | 1 | no | — |
| 330 | #685 | — | 2 | 1 | no | — |
| 331 | #685 | — | 2 | 1 | no | — |
| 332 | #685 | — | 2 | 1 | no | — |
| 333 | #685 | — | 2 | 1 | no | — |
| 334 | #685 | — | 2 | 1 | no | — |
| 335 | #685 | — | 2 | 1 | no | — |
| 336 | #685 | — | 2 | 1 | no | — |
| 337 | #685 | — | 2 | 1 | no | — |
| 338 | #685 | — | 2 | 1 | no | — |
| 339 | #685 | — | 4 | 2 | no | — |
| 340 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 341 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 342 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 343 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 344 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 345 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 346 | #683 | — | 2 | 1 | no | — |
| 347 | #683 | — | 2 | 1 | no | — |
| 348 | #683 | — | 2 | 1 | no | — |
| 349 | #683 | — | 2 | 1 | no | — |
| 350 | #683 | — | 2 | 1 | no | — |
| 351 | #683 | — | 2 | 1 | no | — |
| 352 | #683 | — | 2 | 1 | no | — |
| 353 | #683 | — | 2 | 1 | no | — |
| 354 | #683 | — | 2 | 1 | no | — |
| 355 | #683 | — | 2 | 1 | no | — |
| 356 | #683 | — | 2 | 1 | no | — |
| 357 | #683 | — | 2 | 1 | no | — |
| 358 | #683 | — | 2 | 1 | no | — |
| 359 | #683 | — | 2 | 1 | no | — |
| 360 | #683 | — | 4 | 2 | no | — |
| 361 | C4×Dic5 | — | 2 | 1 | no | — |
| 362 | C4×Dic5 | — | 2 | 1 | no | — |
| 363 | C4×Dic5 | — | 2 | 1 | no | — |
| 364 | C4×Dic5 | — | 2 | 1 | no | — |
| 365 | C4×Dic5 | — | 2 | 1 | no | — |
| 366 | C2×#168 | — | 2 | 1 | no | — |
| 367 | C2×#168 | — | 2 | 1 | no | — |
| 368 | C2×#168 | — | 4 | 2 | no | — |
| 369 | C22×#41 | C2×D5 | 1 | 1 | yes | characteristic |
| 370 | C2×#137 | — | 2 | 1 | no | — |
| 371 | C2×#135 | — | 10 | 1 | no | — |
| 372 | #563 | — | 10 | 1 | no | — |
| 373 | #562 | — | 10 | 1 | no | — |
| 374 | #554 | — | 10 | 1 | no | — |
| 375 | #552 | — | 10 | 1 | no | — |
| 376 | #551 | — | 10 | 1 | no | — |
| 377 | #551 | — | 10 | 1 | no | — |
| 378 | #547 | — | 10 | 1 | no | — |
| 379 | #546 | — | 10 | 1 | no | — |
| 380 | #544 | — | 5 | 1 | no | — |
| 381 | #543 | — | 5 | 1 | no | — |
| 382 | #542 | — | 10 | 1 | no | — |
| 383 | #539 | — | 5 | 1 | no | — |
| 384 | #539 | — | 10 | 1 | no | — |
| 385 | #539 | — | 10 | 1 | no | — |
| 386 | #538 | — | 5 | 1 | no | — |
| 387 | #536 | — | 10 | 1 | no | — |
| 388 | #525 | — | 5 | 1 | no | — |
| 389 | C2×#123 | — | 5 | 1 | no | — |
| 390 | C2×C22⋊Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 391 | C2×#121 | — | 10 | 1 | no | — |
| 392 | #452 | — | 2 | 1 | no | — |
| 393 | #452 | — | 2 | 1 | no | — |
| 394 | #452 | — | 10 | 1 | no | — |
| 395 | #451 | — | 5 | 1 | no | — |
| 396 | #451 | C2×D5 | 1 | 1 | yes | characteristic |
| 397 | #451 | C2×D5 | 1 | 1 | yes | characteristic |
| 398 | #450 | — | 5 | 1 | no | — |
| 399 | #450 | C2×D5 | 1 | 1 | yes | characteristic |
| 400 | #450 | C2×D5 | 1 | 1 | yes | characteristic |
| 401 | #449 | — | 10 | 1 | no | — |
| 402 | #448 | — | 5 | 1 | no | — |
| 403 | #447 | — | 5 | 1 | no | — |
| 404 | #417 | — | 2 | 1 | no | — |
| 405 | #416 | — | 10 | 1 | no | — |
| 406 | #407 | C2×D5 | 1 | 1 | yes | characteristic |
| 407 | C2×C22⋊C8 | — | 5 | 1 | no | — |
| 408 | #395 | — | 5 | 1 | no | — |
| 409 | #394 | — | 5 | 1 | no | — |
| 410 | #393 | — | 5 | 1 | no | — |
| 411 | #392 | — | 5 | 1 | no | — |
| 412 | #386 | — | 10 | 1 | no | — |
| 413 | #386 | — | 10 | 1 | no | — |
| 414 | #385 | — | 10 | 1 | no | — |
| 415 | C2×#95 | — | 5 | 1 | no | — |
| 416 | #328 | — | 5 | 1 | no | — |
| 417 | #328 | — | 5 | 1 | no | — |
| 418 | #328 | — | 5 | 1 | no | — |
| 419 | #328 | — | 5 | 1 | no | — |
| 420 | #328 | — | 5 | 1 | no | — |
| 421 | #328 | — | 5 | 1 | no | — |
| 422 | #327 | — | 5 | 1 | no | — |
| 423 | #327 | — | 5 | 1 | no | — |
| 424 | #324 | — | 5 | 1 | no | — |
| 425 | #324 | — | 5 | 1 | no | — |
| 426 | #323 | — | 5 | 1 | no | — |
| 427 | #323 | — | 5 | 1 | no | — |
| 428 | C23×C5 | — | 2 | 1 | no | — |
| 429 | C23×C5 | — | 2 | 1 | no | — |
| 430 | C23×C5 | — | 2 | 2 | no | — |
| 431 | C23×C5 | — | 2 | 2 | no | — |
| 432 | C23×C5 | — | 4 | 1 | no | — |
| 433 | C23×C5 | — | 4 | 1 | no | — |
| 434 | C23×C5 | — | 4 | 1 | no | — |
| 435 | C23×C5 | — | 4 | 1 | no | — |
| 436 | C23×C5 | — | 4 | 1 | no | — |
| 437 | C23×C5 | — | 4 | 1 | no | — |
| 438 | C23×C5 | — | 4 | 1 | no | — |
| 439 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 440 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 441 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 442 | C22×D5 | — | 2 | 1 | no | — |
| 443 | C22×D5 | — | 2 | 1 | no | — |
| 444 | C22×D5 | — | 2 | 1 | no | — |
| 445 | C22×D5 | — | 2 | 1 | no | — |
| 446 | C22×D5 | — | 4 | 1 | no | — |
| 447 | C22×D5 | — | 4 | 1 | no | — |
| 448 | C5×Q8 | — | 2 | 2 | no | — |
| 449 | C5×Q8 | — | 2 | 2 | no | — |
| 450 | C5×Q8 | — | 4 | 1 | no | — |
| 451 | C5×Q8 | — | 4 | 1 | no | — |
| 452 | C5×Q8 | — | 4 | 1 | no | — |
| 453 | C5×Q8 | — | 4 | 1 | no | — |
| 454 | C5×Q8 | — | 8 | 1 | no | — |
| 455 | C5×D4 | — | 2 | 2 | no | — |
| 456 | C5×D4 | — | 2 | 2 | no | — |
| 457 | C5×D4 | — | 4 | 1 | no | — |
| 458 | C5×D4 | — | 4 | 1 | no | — |
| 459 | C5×D4 | — | 4 | 4 | no | — |
| 460 | C5×D4 | — | 4 | 4 | no | — |
| 461 | C2×C4×C5 | — | 2 | 2 | no | — |
| 462 | C2×C4×C5 | — | 2 | 2 | no | — |
| 463 | C2×C4×C5 | — | 2 | 2 | no | — |
| 464 | C2×C4×C5 | — | 2 | 1 | no | — |
| 465 | C2×C4×C5 | — | 2 | 1 | no | — |
| 466 | C2×C4×C5 | — | 2 | 1 | no | — |
| 467 | C2×C4×C5 | — | 2 | 1 | no | — |
| 468 | C2×C4×C5 | — | 4 | 1 | no | — |
| 469 | C2×C4×C5 | — | 4 | 1 | no | — |
| 470 | C2×C4×C5 | — | 4 | 1 | no | — |
| 471 | C2×C4×C5 | — | 4 | 1 | no | — |
| 472 | C2×C4×C5 | — | 4 | 4 | no | — |
| 473 | C2×C4×C5 | — | 4 | 4 | no | — |
| 474 | C2×C4×C5 | — | 4 | 1 | no | — |
| 475 | C2×C4×C5 | — | 4 | 1 | no | — |
| 476 | C2×C4×C5 | — | 4 | 2 | no | — |
| 477 | C2×C4×C5 | — | 8 | 1 | no | — |
| 478 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 479 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 480 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 481 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 482 | C22⋊D5 | — | 4 | 1 | no | — |
| 483 | C22⋊D5 | — | 4 | 1 | no | — |
| 484 | C22⋊D5 | — | 4 | 2 | no | — |
| 485 | C22⋊D5 | — | 4 | 2 | no | — |
| 486 | C22⋊D5 | — | 8 | 1 | no | — |
| 487 | C22⋊D5 | — | 8 | 1 | no | — |
| 488 | C22⋊D5 | — | 8 | 4 | no | — |
| 489 | C2×Dic5 | — | 2 | 2 | no | — |
| 490 | C2×Dic5 | — | 2 | 1 | no | — |
| 491 | C2×Dic5 | — | 2 | 1 | no | — |
| 492 | C2×Dic5 | — | 2 | 1 | no | — |
| 493 | C2×Dic5 | — | 2 | 1 | no | — |
| 494 | C2×Dic5 | — | 2 | 1 | no | — |
| 495 | C2×Dic5 | — | 2 | 1 | no | — |
| 496 | C2×Dic5 | — | 2 | 1 | no | — |
| 497 | C2×Dic5 | — | 2 | 1 | no | — |
| 498 | C2×Dic5 | — | 4 | 1 | no | — |
| 499 | C2×Dic5 | — | 4 | 1 | no | — |
| 500 | C2×Dic5 | — | 4 | 1 | no | — |
| 501 | C2×Dic5 | — | 4 | 1 | no | — |
| 502 | C2×Dic5 | — | 4 | 1 | no | — |
| 503 | C2×Dic5 | — | 4 | 1 | no | — |
| 504 | C2×Dic5 | — | 4 | 1 | no | — |
| 505 | C2×Dic5 | — | 8 | 4 | no | — |
| 506 | D20 | — | 4 | 1 | no | — |
| 507 | D20 | — | 8 | 1 | no | — |
| 508 | D20 | — | 8 | 1 | no | — |
| 509 | C4×D5 | — | 8 | 1 | no | — |
| 510 | C4×D5 | — | 8 | 1 | no | — |
| 511 | C4×D5 | — | 8 | 1 | no | — |
| 512 | C4×D5 | — | 8 | 1 | no | — |
| 513 | C4×D5 | — | 8 | 1 | no | — |
| 514 | Dic10 | — | 4 | 1 | no | — |
| 515 | Dic10 | — | 8 | 1 | no | — |
| 516 | Dic10 | — | 8 | 1 | no | — |
| 517 | C5×C8 | — | 4 | 1 | no | — |
| 518 | C5×C8 | — | 4 | 1 | no | — |
| 519 | #168 | — | 4 | 1 | no | — |
| 520 | #168 | — | 4 | 1 | no | — |
| 521 | C2×#41 | — | 2 | 1 | no | — |
| 522 | C2×#41 | — | 2 | 1 | no | — |
| 523 | C2×#41 | — | 2 | 1 | no | — |
| 524 | C2×#41 | — | 2 | 1 | no | — |
| 525 | C2×#41 | — | 4 | 4 | no | — |
| 526 | C2×#41 | — | 5 | 1 | no | — |
| 527 | C2×#41 | — | 10 | 1 | no | — |
| 528 | C22×Q8 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 529 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 530 | C22×D4 | — | 2 | 1 | no | — |
| 531 | C22×D4 | — | 5 | 1 | no | — |
| 532 | C22×D4 | — | 10 | 1 | no | — |
| 533 | C22×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 534 | C23×C4 | — | 2 | 1 | no | — |
| 535 | C23×C4 | — | 10 | 1 | no | — |
| 536 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 537 | #137 | — | 4 | 4 | no | — |
| 538 | #135 | — | 20 | 4 | no | — |
| 539 | C2×Q16 | — | 2 | 1 | no | — |
| 540 | C2×Q16 | — | 2 | 1 | no | — |
| 541 | C2×Q16 | — | 10 | 1 | no | — |
| 542 | C2×SD16 | — | 2 | 1 | no | — |
| 543 | C2×SD16 | — | 2 | 1 | no | — |
| 544 | C2×SD16 | — | 10 | 1 | no | — |
| 545 | C2×SD16 | — | 10 | 1 | no | — |
| 546 | C2×D8 | — | 10 | 1 | no | — |
| 547 | C2×M16 | — | 2 | 1 | no | — |
| 548 | C22×C8 | — | 10 | 1 | no | — |
| 549 | C4⋊Q8 | — | 10 | 1 | no | — |
| 550 | C4⋊Q8 | — | 10 | 1 | no | — |
| 551 | C4⋊Q8 | — | 10 | 1 | no | — |
| 552 | #126 | — | 10 | 1 | no | — |
| 553 | #126 | — | 10 | 1 | no | — |
| 554 | #126 | — | 10 | 1 | no | — |
| 555 | #126 | — | 10 | 1 | no | — |
| 556 | #126 | — | 10 | 1 | no | — |
| 557 | #126 | — | 10 | 1 | no | — |
| 558 | #125 | — | 10 | 1 | no | — |
| 559 | #125 | — | 10 | 1 | no | — |
| 560 | #125 | — | 10 | 1 | no | — |
| 561 | #125 | — | 10 | 1 | no | — |
| 562 | #125 | — | 10 | 1 | no | — |
| 563 | #124 | — | 10 | 1 | no | — |
| 564 | #124 | — | 10 | 1 | no | — |
| 565 | #124 | — | 10 | 1 | no | — |
| 566 | #124 | — | 10 | 1 | no | — |
| 567 | #123 | — | 10 | 1 | no | — |
| 568 | #123 | — | 10 | 1 | no | — |
| 569 | #123 | — | 10 | 1 | no | — |
| 570 | #123 | — | 10 | 1 | no | — |
| 571 | #123 | — | 10 | 1 | no | — |
| 572 | #123 | — | 10 | 1 | no | — |
| 573 | #123 | — | 10 | 1 | no | — |
| 574 | #123 | — | 10 | 1 | no | — |
| 575 | #123 | — | 10 | 1 | no | — |
| 576 | #123 | — | 10 | 1 | no | — |
| 577 | #123 | — | 10 | 1 | no | — |
| 578 | #123 | — | 10 | 1 | no | — |
| 579 | #123 | — | 10 | 1 | no | — |
| 580 | #123 | — | 10 | 1 | no | — |
| 581 | C22⋊Q8 | — | 2 | 1 | no | — |
| 582 | C22⋊Q8 | — | 2 | 1 | no | — |
| 583 | C22⋊Q8 | — | 5 | 1 | no | — |
| 584 | C22⋊Q8 | — | 5 | 1 | no | — |
| 585 | C22⋊Q8 | — | 10 | 1 | no | — |
| 586 | C22⋊Q8 | — | 10 | 1 | no | — |
| 587 | C22⋊Q8 | — | 10 | 1 | no | — |
| 588 | C22⋊Q8 | — | 10 | 1 | no | — |
| 589 | C22⋊Q8 | — | 10 | 1 | no | — |
| 590 | C22⋊Q8 | — | 10 | 1 | no | — |
| 591 | C22⋊Q8 | — | 10 | 1 | no | — |
| 592 | C22⋊Q8 | — | 10 | 1 | no | — |
| 593 | C22⋊Q8 | — | 10 | 1 | no | — |
| 594 | C22⋊Q8 | — | 10 | 1 | no | — |
| 595 | C22⋊Q8 | — | 10 | 1 | no | — |
| 596 | C22⋊Q8 | — | 10 | 1 | no | — |
| 597 | C22⋊Q8 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 598 | C22⋊Q8 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 599 | C22⋊Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 600 | C22⋊Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 601 | #121 | — | 5 | 1 | no | — |
| 602 | #121 | — | 5 | 1 | no | — |
| 603 | #121 | — | 10 | 1 | no | — |
| 604 | #121 | — | 10 | 1 | no | — |
| 605 | #121 | — | 10 | 1 | no | — |
| 606 | #121 | — | 10 | 1 | no | — |
| 607 | #121 | — | 20 | 4 | no | — |
| 608 | #120 | — | 10 | 1 | no | — |
| 609 | #120 | — | 10 | 1 | no | — |
| 610 | C4×Q8 | — | 10 | 1 | no | — |
| 611 | C4×D4 | — | 10 | 1 | no | — |
| 612 | C4×D4 | — | 10 | 1 | no | — |
| 613 | C4×D4 | — | 10 | 1 | no | — |
| 614 | C4×D4 | — | 10 | 1 | no | — |
| 615 | C4×D4 | — | 10 | 1 | no | — |
| 616 | C4×D4 | — | 10 | 1 | no | — |
| 617 | C4×D4 | — | 10 | 1 | no | — |
| 618 | #117 | — | 5 | 1 | no | — |
| 619 | #117 | — | 10 | 1 | no | — |
| 620 | #117 | — | 10 | 1 | no | — |
| 621 | #117 | — | 10 | 1 | no | — |
| 622 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 623 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 624 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 625 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 626 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 627 | C2×C4⋊C4 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 628 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 629 | C2×C22⋊C4 | — | 5 | 1 | no | — |
| 630 | C2×C22⋊C4 | — | 5 | 1 | no | — |
| 631 | C2×C22⋊C4 | — | 5 | 1 | no | — |
| 632 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 633 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 634 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 635 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 636 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 637 | #103 | — | 2 | 1 | no | — |
| 638 | #103 | — | 2 | 1 | no | — |
| 639 | #103 | — | 10 | 1 | no | — |
| 640 | #103 | — | 10 | 1 | no | — |
| 641 | #102 | — | 2 | 1 | no | — |
| 642 | #102 | — | 2 | 1 | no | — |
| 643 | #102 | — | 10 | 1 | no | — |
| 644 | #102 | — | 10 | 1 | no | — |
| 645 | C22⋊C8 | — | 2 | 1 | no | — |
| 646 | C22⋊C8 | — | 5 | 1 | no | — |
| 647 | C22⋊C8 | — | 5 | 1 | no | — |
| 648 | C22⋊C8 | — | 10 | 1 | no | — |
| 649 | C22⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 650 | C22⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 651 | #95 | — | 5 | 1 | no | — |
| 652 | #95 | — | 5 | 1 | no | — |
| 653 | #95 | — | 10 | 1 | no | — |
| 654 | #95 | — | 10 | 1 | no | — |
| 655 | #95 | — | 10 | 1 | no | — |
| 656 | C22×C5 | — | 2 | 1 | no | — |
| 657 | C22×C5 | — | 2 | 1 | no | — |
| 658 | C22×C5 | — | 2 | 1 | no | — |
| 659 | C22×C5 | — | 2 | 1 | no | — |
| 660 | C22×C5 | — | 2 | 1 | no | — |
| 661 | C22×C5 | — | 2 | 1 | no | — |
| 662 | C22×C5 | — | 2 | 1 | no | — |
| 663 | C22×C5 | — | 4 | 2 | no | — |
| 664 | C22×C5 | — | 4 | 2 | no | — |
| 665 | C22×C5 | — | 4 | 2 | no | — |
| 666 | C22×C5 | — | 4 | 2 | no | — |
| 667 | C22×C5 | — | 4 | 2 | no | — |
| 668 | C22×C5 | — | 8 | 1 | no | — |
| 669 | C22×C5 | — | 8 | 1 | no | — |
| 670 | C22×C5 | — | 8 | 1 | no | — |
| 671 | C22×C5 | — | 8 | 1 | no | — |
| 672 | C22×C5 | B(4,𝔽2) | 1 | 2 | yes | — |
| 673 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 674 | C22×C5 | #577 | 1 | 1 | yes | characteristic |
| 675 | C22×C5 | #578 | 1 | 1 | yes | characteristic |
| 676 | C2×D5 | — | 4 | 1 | no | — |
| 677 | C2×D5 | — | 4 | 1 | no | — |
| 678 | C2×D5 | — | 4 | 1 | no | — |
| 679 | C2×D5 | — | 4 | 1 | no | — |
| 680 | C2×D5 | — | 4 | 1 | no | — |
| 681 | C2×D5 | — | 4 | 1 | no | — |
| 682 | C2×D5 | — | 8 | 1 | no | — |
| 683 | C2×D5 | — | 8 | 1 | no | — |
| 684 | C4×C5 | — | 2 | 1 | no | — |
| 685 | C4×C5 | — | 2 | 1 | no | — |
| 686 | C4×C5 | — | 2 | 1 | no | — |
| 687 | C4×C5 | — | 2 | 1 | no | — |
| 688 | C4×C5 | — | 4 | 1 | no | — |
| 689 | C4×C5 | — | 4 | 1 | no | — |
| 690 | C4×C5 | — | 4 | 1 | no | — |
| 691 | C4×C5 | — | 4 | 1 | no | — |
| 692 | C4×C5 | — | 4 | 2 | no | — |
| 693 | Dic5 | — | 4 | 2 | no | — |
| 694 | Dic5 | — | 4 | 1 | no | — |
| 695 | Dic5 | — | 4 | 1 | no | — |
| 696 | Dic5 | — | 4 | 1 | no | — |
| 697 | Dic5 | — | 4 | 1 | no | — |
| 698 | Dic5 | — | 4 | 1 | no | — |
| 699 | Dic5 | — | 4 | 1 | no | — |
| 700 | Dic5 | — | 8 | 1 | no | — |
| 701 | C24 | — | 2 | 1 | no | — |
| 702 | C24 | — | 5 | 1 | no | — |
| 703 | C24 | D4×D5 | 1 | 1 | yes | characteristic |
| 704 | #41 | — | 2 | 4 | no | — |
| 705 | #41 | — | 2 | 4 | no | — |
| 706 | #41 | — | 4 | 2 | no | — |
| 707 | #41 | — | 4 | 2 | no | — |
| 708 | #41 | — | 4 | 2 | no | — |
| 709 | #41 | — | 4 | 2 | no | — |
| 710 | #41 | — | 4 | 2 | no | — |
| 711 | #41 | — | 4 | 2 | no | — |
| 712 | #41 | — | 20 | 2 | no | — |
| 713 | #41 | — | 40 | 2 | no | — |
| 714 | C2×Q8 | — | 2 | 1 | no | — |
| 715 | C2×Q8 | — | 2 | 1 | no | — |
| 716 | C2×Q8 | — | 2 | 1 | no | — |
| 717 | C2×Q8 | — | 4 | 2 | no | — |
| 718 | C2×Q8 | — | 4 | 2 | no | — |
| 719 | C2×Q8 | — | 5 | 1 | no | — |
| 720 | C2×Q8 | — | 10 | 1 | no | — |
| 721 | C2×Q8 | — | 10 | 1 | no | — |
| 722 | C2×Q8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 723 | C2×Q8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 724 | C2×D4 | — | 2 | 4 | no | — |
| 725 | C2×D4 | — | 2 | 1 | no | — |
| 726 | C2×D4 | — | 2 | 1 | no | — |
| 727 | C2×D4 | — | 4 | 2 | no | — |
| 728 | C2×D4 | — | 4 | 2 | no | — |
| 729 | C2×D4 | — | 4 | 1 | no | — |
| 730 | C2×D4 | — | 4 | 1 | no | — |
| 731 | C2×D4 | — | 5 | 1 | no | — |
| 732 | C2×D4 | — | 10 | 1 | no | — |
| 733 | C2×D4 | — | 10 | 1 | no | — |
| 734 | C2×D4 | — | 10 | 1 | no | — |
| 735 | C2×D4 | — | 10 | 1 | no | — |
| 736 | C2×D4 | — | 10 | 1 | no | — |
| 737 | C2×D4 | — | 10 | 1 | no | — |
| 738 | C2×D4 | — | 10 | 1 | no | — |
| 739 | C2×D4 | — | 20 | 2 | no | — |
| 740 | C2×D4 | — | 20 | 2 | no | — |
| 741 | C2×D4 | — | 20 | 2 | no | — |
| 742 | C2×D4 | — | 40 | 1 | no | — |
| 743 | C22×C4 | — | 2 | 1 | no | — |
| 744 | C22×C4 | — | 2 | 1 | no | — |
| 745 | C22×C4 | — | 2 | 1 | no | — |
| 746 | C22×C4 | — | 4 | 2 | no | — |
| 747 | C22×C4 | — | 4 | 2 | no | — |
| 748 | C22×C4 | — | 4 | 2 | no | — |
| 749 | C22×C4 | — | 4 | 1 | no | — |
| 750 | C22×C4 | — | 4 | 1 | no | — |
| 751 | C22×C4 | — | 5 | 1 | no | — |
| 752 | C22×C4 | — | 5 | 1 | no | — |
| 753 | C22×C4 | — | 5 | 1 | no | — |
| 754 | C22×C4 | — | 10 | 1 | no | — |
| 755 | C22×C4 | — | 10 | 1 | no | — |
| 756 | C22×C4 | — | 10 | 1 | no | — |
| 757 | C22×C4 | — | 10 | 1 | no | — |
| 758 | C22×C4 | — | 10 | 1 | no | — |
| 759 | C22×C4 | — | 10 | 1 | no | — |
| 760 | C22×C4 | — | 10 | 1 | no | — |
| 761 | C22×C4 | — | 20 | 2 | no | — |
| 762 | C22×C4 | — | 20 | 2 | no | — |
| 763 | C22×C4 | — | 40 | 1 | no | — |
| 764 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 765 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 766 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 767 | C22×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 768 | C22×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 769 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 770 | Q16 | — | 4 | 2 | no | — |
| 771 | Q16 | — | 4 | 2 | no | — |
| 772 | Q16 | — | 20 | 2 | no | — |
| 773 | SD16 | — | 4 | 2 | no | — |
| 774 | SD16 | — | 4 | 2 | no | — |
| 775 | SD16 | — | 20 | 2 | no | — |
| 776 | SD16 | — | 20 | 2 | no | — |
| 777 | D8 | — | 20 | 2 | no | — |
| 778 | M16 | — | 4 | 2 | no | — |
| 779 | C2×C8 | — | 2 | 1 | no | — |
| 780 | C2×C8 | — | 2 | 1 | no | — |
| 781 | C2×C8 | — | 10 | 1 | no | — |
| 782 | C2×C8 | — | 10 | 1 | no | — |
| 783 | C2×C8 | — | 20 | 2 | no | — |
| 784 | C4⋊C4 | — | 2 | 1 | no | — |
| 785 | C4⋊C4 | — | 2 | 1 | no | — |
| 786 | C4⋊C4 | — | 2 | 1 | no | — |
| 787 | C4⋊C4 | — | 2 | 1 | no | — |
| 788 | C4⋊C4 | — | 2 | 1 | no | — |
| 789 | C4⋊C4 | — | 5 | 1 | no | — |
| 790 | C4⋊C4 | — | 5 | 1 | no | — |
| 791 | C4⋊C4 | — | 10 | 1 | no | — |
| 792 | C4⋊C4 | — | 10 | 1 | no | — |
| 793 | C4⋊C4 | — | 10 | 1 | no | — |
| 794 | C4⋊C4 | — | 10 | 1 | no | — |
| 795 | C4⋊C4 | — | 10 | 1 | no | — |
| 796 | C4⋊C4 | — | 10 | 1 | no | — |
| 797 | C4⋊C4 | — | 10 | 1 | no | — |
| 798 | C4⋊C4 | — | 10 | 1 | no | — |
| 799 | C4⋊C4 | — | 10 | 1 | no | — |
| 800 | C4⋊C4 | — | 10 | 1 | no | — |
| 801 | C4⋊C4 | — | 10 | 1 | no | — |
| 802 | C4⋊C4 | — | 10 | 1 | no | — |
| 803 | C4⋊C4 | — | 10 | 1 | no | — |
| 804 | C4⋊C4 | — | 10 | 1 | no | — |
| 805 | C4⋊C4 | — | 10 | 1 | no | — |
| 806 | C4⋊C4 | — | 10 | 1 | no | — |
| 807 | C4⋊C4 | — | 10 | 1 | no | — |
| 808 | C4⋊C4 | — | 10 | 1 | no | — |
| 809 | C4⋊C4 | — | 20 | 2 | no | — |
| 810 | C4⋊C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 811 | C4⋊C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 812 | C22⋊C4 | — | 2 | 1 | no | — |
| 813 | C22⋊C4 | — | 2 | 1 | no | — |
| 814 | C22⋊C4 | — | 2 | 1 | no | — |
| 815 | C22⋊C4 | — | 2 | 1 | no | — |
| 816 | C22⋊C4 | — | 10 | 1 | no | — |
| 817 | C22⋊C4 | — | 10 | 1 | no | — |
| 818 | C22⋊C4 | — | 10 | 1 | no | — |
| 819 | C22⋊C4 | — | 10 | 1 | no | — |
| 820 | C22⋊C4 | — | 10 | 1 | no | — |
| 821 | C22⋊C4 | — | 10 | 1 | no | — |
| 822 | C22⋊C4 | — | 10 | 1 | no | — |
| 823 | C22⋊C4 | — | 10 | 1 | no | — |
| 824 | C22⋊C4 | — | 10 | 1 | no | — |
| 825 | C22⋊C4 | — | 10 | 1 | no | — |
| 826 | C22⋊C4 | — | 10 | 1 | no | — |
| 827 | C22⋊C4 | — | 10 | 1 | no | — |
| 828 | C22⋊C4 | — | 10 | 1 | no | — |
| 829 | C22⋊C4 | — | 10 | 1 | no | — |
| 830 | C22⋊C4 | — | 10 | 1 | no | — |
| 831 | C22⋊C4 | — | 10 | 1 | no | — |
| 832 | C22⋊C4 | — | 10 | 1 | no | — |
| 833 | C22⋊C4 | — | 10 | 1 | no | — |
| 834 | C22⋊C4 | — | 10 | 1 | no | — |
| 835 | C22⋊C4 | — | 20 | 2 | no | — |
| 836 | C22⋊C4 | — | 20 | 2 | no | — |
| 837 | C22⋊C4 | — | 20 | 2 | no | — |
| 838 | C22⋊C4 | — | 40 | 1 | no | — |
| 839 | C42 | — | 10 | 1 | no | — |
| 840 | C42 | — | 10 | 1 | no | — |
| 841 | C42 | — | 10 | 1 | no | — |
| 842 | C42 | — | 10 | 1 | no | — |
| 843 | C42 | — | 10 | 1 | no | — |
| 844 | C2×C5 | — | 2 | 1 | no | — |
| 845 | C2×C5 | — | 2 | 1 | no | — |
| 846 | C2×C5 | — | 2 | 2 | no | — |
| 847 | C2×C5 | — | 4 | 1 | no | — |
| 848 | C2×C5 | — | 8 | 2 | no | — |
| 849 | C2×C5 | #3013 | 1 | 1 | yes | characteristic |
| 850 | C2×C5 | #3018 | 1 | 1 | yes | characteristic |
| 851 | C2×C5 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 852 | D5 | — | 8 | 1 | no | — |
| 853 | D5 | — | 8 | 1 | no | — |
| 854 | C23 | — | 2 | 2 | no | — |
| 855 | C23 | — | 2 | 1 | no | — |
| 856 | C23 | — | 2 | 1 | no | — |
| 857 | C23 | — | 2 | 2 | no | — |
| 858 | C23 | — | 4 | 1 | no | — |
| 859 | C23 | — | 4 | 1 | no | — |
| 860 | C23 | — | 4 | 1 | no | — |
| 861 | C23 | — | 4 | 1 | no | — |
| 862 | C23 | — | 4 | 1 | no | — |
| 863 | C23 | — | 4 | 1 | no | — |
| 864 | C23 | — | 4 | 1 | no | — |
| 865 | C23 | — | 10 | 1 | no | — |
| 866 | C23 | — | 10 | 1 | no | — |
| 867 | C23 | — | 10 | 1 | no | — |
| 868 | C23 | — | 10 | 1 | no | — |
| 869 | C23 | — | 20 | 1 | no | — |
| 870 | C23 | — | 20 | 1 | no | — |
| 871 | C23 | #4083 | 1 | 1 | yes | characteristic |
| 872 | C23 | #4083 | 1 | 1 | yes | characteristic |
| 873 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 874 | Q8 | — | 2 | 2 | no | — |
| 875 | Q8 | — | 2 | 2 | no | — |
| 876 | Q8 | — | 4 | 1 | no | — |
| 877 | Q8 | — | 4 | 1 | no | — |
| 878 | Q8 | — | 4 | 1 | no | — |
| 879 | Q8 | — | 4 | 1 | no | — |
| 880 | Q8 | — | 8 | 1 | no | — |
| 881 | Q8 | — | 20 | 1 | no | — |
| 882 | Q8 | — | 40 | 1 | no | — |
| 883 | Q8 | — | 40 | 1 | no | — |
| 884 | D4 | — | 2 | 2 | no | — |
| 885 | D4 | — | 2 | 2 | no | — |
| 886 | D4 | — | 4 | 1 | no | — |
| 887 | D4 | — | 4 | 1 | no | — |
| 888 | D4 | — | 4 | 4 | no | — |
| 889 | D4 | — | 4 | 4 | no | — |
| 890 | D4 | — | 20 | 1 | no | — |
| 891 | D4 | — | 20 | 2 | no | — |
| 892 | D4 | — | 20 | 2 | no | — |
| 893 | D4 | — | 20 | 1 | no | — |
| 894 | D4 | — | 20 | 1 | no | — |
| 895 | D4 | — | 40 | 1 | no | — |
| 896 | D4 | — | 40 | 1 | no | — |
| 897 | D4 | — | 40 | 1 | no | — |
| 898 | D4 | — | 40 | 1 | no | — |
| 899 | D4 | — | 40 | 4 | no | — |
| 900 | C2×C4 | — | 2 | 2 | no | — |
| 901 | C2×C4 | — | 2 | 2 | no | — |
| 902 | C2×C4 | — | 2 | 2 | no | — |
| 903 | C2×C4 | — | 2 | 1 | no | — |
| 904 | C2×C4 | — | 2 | 1 | no | — |
| 905 | C2×C4 | — | 2 | 1 | no | — |
| 906 | C2×C4 | — | 2 | 1 | no | — |
| 907 | C2×C4 | — | 4 | 1 | no | — |
| 908 | C2×C4 | — | 4 | 1 | no | — |
| 909 | C2×C4 | — | 4 | 1 | no | — |
| 910 | C2×C4 | — | 4 | 1 | no | — |
| 911 | C2×C4 | — | 4 | 4 | no | — |
| 912 | C2×C4 | — | 4 | 4 | no | — |
| 913 | C2×C4 | — | 4 | 1 | no | — |
| 914 | C2×C4 | — | 4 | 2 | no | — |
| 915 | C2×C4 | — | 4 | 1 | no | — |
| 916 | C2×C4 | — | 8 | 1 | no | — |
| 917 | C2×C4 | — | 10 | 2 | no | — |
| 918 | C2×C4 | — | 10 | 1 | no | — |
| 919 | C2×C4 | — | 10 | 1 | no | — |
| 920 | C2×C4 | — | 10 | 1 | no | — |
| 921 | C2×C4 | — | 10 | 1 | no | — |
| 922 | C2×C4 | — | 10 | 1 | no | — |
| 923 | C2×C4 | — | 10 | 1 | no | — |
| 924 | C2×C4 | — | 10 | 1 | no | — |
| 925 | C2×C4 | — | 10 | 1 | no | — |
| 926 | C2×C4 | — | 20 | 1 | no | — |
| 927 | C2×C4 | — | 20 | 1 | no | — |
| 928 | C2×C4 | — | 20 | 1 | no | — |
| 929 | C2×C4 | — | 20 | 1 | no | — |
| 930 | C2×C4 | — | 20 | 1 | no | — |
| 931 | C2×C4 | — | 20 | 1 | no | — |
| 932 | C2×C4 | — | 20 | 1 | no | — |
| 933 | C2×C4 | — | 40 | 1 | no | — |
| 934 | C2×C4 | — | 40 | 1 | no | — |
| 935 | C2×C4 | — | 40 | 1 | no | — |
| 936 | C2×C4 | — | 40 | 1 | no | — |
| 937 | C2×C4 | — | 40 | 1 | no | — |
| 938 | C2×C4 | — | 40 | 4 | no | — |
| 939 | C2×C4 | #4083 | 1 | 1 | yes | characteristic |
| 940 | C2×C4 | #4083 | 1 | 1 | yes | characteristic |
| 941 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 942 | C2×C4 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 943 | C8 | — | 4 | 1 | no | — |
| 944 | C8 | — | 4 | 1 | no | — |
| 945 | C8 | — | 20 | 1 | no | — |
| 946 | C8 | — | 20 | 1 | no | — |
| 947 | C5 | #18253 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 948 | C22 | — | 2 | 1 | no | — |
| 949 | C22 | — | 2 | 1 | no | — |
| 950 | C22 | — | 2 | 1 | no | — |
| 951 | C22 | — | 2 | 1 | no | — |
| 952 | C22 | — | 2 | 1 | no | — |
| 953 | C22 | — | 2 | 1 | no | — |
| 954 | C22 | — | 2 | 1 | no | — |
| 955 | C22 | — | 4 | 2 | no | — |
| 956 | C22 | — | 4 | 2 | no | — |
| 957 | C22 | — | 4 | 2 | no | — |
| 958 | C22 | — | 4 | 2 | no | — |
| 959 | C22 | — | 4 | 2 | no | — |
| 960 | C22 | — | 8 | 1 | no | — |
| 961 | C22 | — | 8 | 1 | no | — |
| 962 | C22 | — | 8 | 1 | no | — |
| 963 | C22 | — | 8 | 1 | no | — |
| 964 | C22 | — | 20 | 1 | no | — |
| 965 | C22 | — | 20 | 1 | no | — |
| 966 | C22 | — | 20 | 1 | no | — |
| 967 | C22 | — | 20 | 1 | no | — |
| 968 | C22 | — | 20 | 1 | no | — |
| 969 | C22 | — | 20 | 1 | no | — |
| 970 | C22 | — | 40 | 1 | no | — |
| 971 | C22 | — | 40 | 1 | no | — |
| 972 | C22 | #65321 | 1 | 2 | yes | — |
| 973 | C22 | #66112 | 1 | 1 | yes | characteristic |
| 974 | C22 | #66113 | 1 | 1 | yes | characteristic |
| 975 | C22 | C2×#4083 | 1 | 1 | yes | characteristic |
| 976 | C4 | — | 2 | 1 | no | — |
| 977 | C4 | — | 2 | 1 | no | — |
| 978 | C4 | — | 2 | 1 | no | — |
| 979 | C4 | — | 2 | 1 | no | — |
| 980 | C4 | — | 4 | 2 | no | — |
| 981 | C4 | — | 4 | 1 | no | — |
| 982 | C4 | — | 4 | 1 | no | — |
| 983 | C4 | — | 4 | 1 | no | — |
| 984 | C4 | — | 4 | 1 | no | — |
| 985 | C4 | — | 20 | 2 | no | — |
| 986 | C4 | — | 20 | 1 | no | — |
| 987 | C4 | — | 20 | 1 | no | — |
| 988 | C4 | — | 20 | 1 | no | — |
| 989 | C4 | — | 20 | 1 | no | — |
| 990 | C4 | — | 20 | 1 | no | — |
| 991 | C4 | — | 20 | 1 | no | — |
| 992 | C4 | — | 40 | 1 | no | — |
| 993 | C2 | — | 2 | 1 | no | — |
| 994 | C2 | — | 2 | 1 | no | — |
| 995 | C2 | — | 2 | 2 | no | — |
| 996 | C2 | — | 4 | 1 | no | — |
| 997 | C2 | — | 8 | 2 | no | — |
| 998 | C2 | — | 40 | 1 | no | — |
| 999 | C2 | — | 40 | 1 | no | — |
| 1000 | C2 | C2×#65321 | 1 | 1 | yes | characteristic |
| 1001 | C2 | #10615715 | 1 | 1 | yes | characteristic |
| 1002 | C2 | #10615735 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10617890 | C2 | semidirect |
| 2. C5×#3007 | C2 | semidirect |
| 3. #10615822 | C2 | semidirect |
| 4. #10615811 | C2 | semidirect |
| 5. C2×#64758 | C2 | semidirect |
| 6. #10601776 | C2 | semidirect |
| 7. #10601775 | C2 | semidirect |
| 8. #10601774 | C2 | semidirect |
| 9. #10601773 | C2 | semidirect |
| 10. #10601772 | C2 | semidirect |
| 11. #10601771 | C2 | semidirect |
| 12. #10601770 | C2 | semidirect |
| 13. #10601769 | C2 | semidirect |
| 14. #10600769 | C2 | semidirect |
| 15. #10600762 | C2 | semidirect |
| 81. C22×C5×Q8 | D4 | semidirect |
| 91. C2×#709 | D4 | semidirect |
| 100. C5×C22⋊Q8 | D4 | semidirect |
| 101. C5×C22⋊Q8 | D4 | semidirect |
| 105. C2×C5×C4⋊C4 | D4 | semidirect |
| 127. #4076 | D4 | semidirect |
| 144. #4072 | D4 | semidirect |
| 146. #4070 | D4 | semidirect |
| 212. #3007 | D5 | semidirect |
| 528. C22×Q8 | C22⋊D5 | semidirect |
| 597. C22⋊Q8 | C22⋊D5 | semidirect |
| 598. C22⋊Q8 | C22⋊D5 | semidirect |
| 627. C2×C4⋊C4 | C22⋊D5 | semidirect |
| 947. C5 | #18253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617890 | 2 |
| C5×#3007 | 2 |
| #10615822 | 2 |
| #10615811 | 2 |
| C2×#64758 | 2 |
| #10601776 | 2 |
| #10601775 | 2 |
| #10601774 | 2 |
| #10601773 | 2 |
| #10601772 | 2 |
| #10601771 | 2 |
| #10601770 | 2 |
| #10601769 | 2 |
| #10600769 | 2 |
| #10600762 | 2 |
| #18253 | 5 |