Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2654 conjugacy classes of subgroups.
The subgroup lattice has 904 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C5×#3497 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#66172 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10618144 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10615848 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10615315 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10615310 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | D4×#689 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10615291 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10615277 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10615274 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #10615158 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10615154 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #10615027 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10615019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10615008 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#65320 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | C4×#4088 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | C2×C5×2−1+4 | C22 | 1 | 2 | yes | — |
| 19 | C2×#4150 | C22 | 1 | 2 | yes | — |
| 20 | C5×#550 | — | 2 | 1 | no | — |
| 21 | C5×#550 | C22 | 1 | 2 | yes | — |
| 22 | C5×D4×Q8 | — | 2 | 1 | no | — |
| 23 | C5×D4×Q8 | C22 | 1 | 2 | yes | — |
| 24 | C5×#548 | — | 2 | 2 | no | — |
| 25 | C5×#548 | C22 | 1 | 4 | yes | — |
| 26 | C5×#537 | — | 2 | 2 | no | — |
| 27 | C5×#537 | C22 | 1 | 2 | yes | — |
| 28 | C5×#532 | — | 2 | 2 | no | — |
| 29 | C5×#532 | C22 | 1 | 1 | yes | characteristic |
| 30 | C5×#532 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×C4×C5×Q8 | C22 | 1 | 1 | yes | characteristic |
| 32 | #66172 | — | 2 | 16 | no | — |
| 33 | #66159 | C22 | 1 | 2 | yes | — |
| 34 | C2×#4097 | C22 | 1 | 4 | yes | — |
| 35 | C2×#4097 | C22 | 1 | 2 | yes | — |
| 36 | C2×#4097 | C22 | 1 | 2 | yes | — |
| 37 | C2×#4096 | C22 | 1 | 4 | yes | — |
| 38 | C2×#4096 | C22 | 1 | 2 | yes | — |
| 39 | C2×#4094 | C22 | 1 | 2 | yes | — |
| 40 | C22×#689 | C22 | 1 | 4 | yes | — |
| 41 | C22×#689 | C22 | 1 | 2 | yes | — |
| 42 | C2×#4088 | C22 | 1 | 4 | yes | — |
| 43 | C2×#4088 | C22 | 1 | 1 | yes | characteristic |
| 44 | D5×C4⋊Q8 | — | 2 | 1 | no | — |
| 45 | #66050 | — | 2 | 1 | no | — |
| 46 | #66009 | — | 2 | 2 | no | — |
| 47 | #65945 | — | 2 | 2 | no | — |
| 48 | #65945 | — | 2 | 2 | no | — |
| 49 | #65885 | C22 | 1 | 2 | yes | — |
| 50 | #65885 | C22 | 1 | 2 | yes | — |
| 51 | D4×Dic10 | C22 | 1 | 2 | yes | — |
| 52 | D4×Dic10 | C22 | 1 | 2 | yes | — |
| 53 | C4×#709 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×#4015 | C22 | 1 | 1 | yes | characteristic |
| 55 | #65528 | C22 | 1 | 4 | yes | — |
| 56 | #65528 | C22 | 1 | 4 | yes | — |
| 57 | #65523 | C22 | 1 | 2 | yes | — |
| 58 | #65522 | C22 | 1 | 2 | yes | — |
| 59 | #65517 | C22 | 1 | 4 | yes | — |
| 60 | #65517 | C22 | 1 | 4 | yes | — |
| 61 | #65514 | C22 | 1 | 1 | yes | characteristic |
| 62 | #65381 | C22 | 1 | 2 | yes | — |
| 63 | #65379 | C22 | 1 | 1 | yes | characteristic |
| 64 | #65372 | C22 | 1 | 1 | yes | characteristic |
| 65 | #65365 | C22 | 1 | 2 | yes | — |
| 66 | #65364 | C22 | 1 | 1 | yes | characteristic |
| 67 | #65361 | C22 | 1 | 1 | yes | characteristic |
| 68 | #65349 | C22 | 1 | 4 | yes | — |
| 69 | #65346 | C22 | 1 | 2 | yes | — |
| 70 | #65343 | C22 | 1 | 2 | yes | — |
| 71 | #65341 | C22 | 1 | 4 | yes | — |
| 72 | #65340 | C22 | 1 | 4 | yes | — |
| 73 | #65339 | C22 | 1 | 4 | yes | — |
| 74 | #65336 | C22 | 1 | 4 | yes | — |
| 75 | #65331 | C22 | 1 | 4 | yes | — |
| 76 | #65330 | C22 | 1 | 4 | yes | — |
| 77 | #65329 | C22 | 1 | 4 | yes | — |
| 78 | #65326 | C22 | 1 | 4 | yes | — |
| 79 | #65320 | C22 | 1 | 2 | yes | — |
| 80 | #65320 | C22 | 1 | 2 | yes | — |
| 81 | #65320 | C22 | 1 | 4 | yes | — |
| 82 | #65319 | C22 | 1 | 2 | yes | — |
| 83 | C4×#689 | C22 | 1 | 2 | yes | — |
| 84 | #65315 | C22 | 1 | 2 | yes | — |
| 85 | C4×#688 | C22 | 1 | 2 | yes | — |
| 86 | #65301 | C22 | 1 | 2 | yes | — |
| 87 | #65300 | C22 | 1 | 4 | yes | — |
| 88 | D4×#168 | C22 | 1 | 2 | yes | — |
| 89 | C2×#3942 | C22 | 1 | 2 | yes | — |
| 90 | #65255 | C22 | 1 | 1 | yes | characteristic |
| 91 | #65253 | C22 | 1 | 1 | yes | characteristic |
| 92 | C2×C4⋊#168 | C22 | 1 | 1 | yes | characteristic |
| 93 | C4×#681 | C22 | 1 | 1 | yes | characteristic |
| 94 | #61097 | — | 5 | 1 | no | maximal, Sylow |
| 95 | C5×2−1+4 | — | 2 | 8 | no | — |
| 96 | C5×2−1+4 | — | 4 | 4 | no | — |
| 97 | C2×C5×#41 | — | 2 | 4 | no | — |
| 98 | C2×C5×#41 | — | 2 | 2 | no | — |
| 99 | C2×C5×#41 | C23 | 1 | 2 | yes | — |
| 100 | C2×C5×#41 | C23 | 1 | 4 | yes | — |
| 101 | C2×C5×#41 | C23 | 1 | 2 | yes | — |
| 102 | C22×C5×Q8 | — | 2 | 2 | no | — |
| 103 | C22×C5×Q8 | C23 | 1 | 4 | yes | — |
| 104 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 105 | #4150 | — | 2 | 8 | no | — |
| 106 | #4150 | — | 4 | 4 | no | — |
| 107 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 108 | C2×#711 | — | 2 | 2 | no | — |
| 109 | C2×#711 | — | 2 | 4 | no | — |
| 110 | C2×#709 | C23 | 1 | 4 | yes | — |
| 111 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 112 | C22×Dic10 | C23 | 1 | 2 | yes | — |
| 113 | C22×Dic10 | C23 | 1 | 4 | yes | — |
| 114 | C5×C4⋊Q8 | — | 2 | 2 | no | — |
| 115 | C5×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 116 | C5×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 117 | C5×#127 | — | 2 | 2 | no | — |
| 118 | C5×#127 | D4 | 1 | 1 | yes | characteristic |
| 119 | C5×#127 | C23 | 1 | 1 | yes | characteristic |
| 120 | C5×#124 | — | 2 | 4 | no | — |
| 121 | C5×#124 | D4 | 1 | 2 | yes | — |
| 122 | C5×#124 | C23 | 1 | 2 | yes | — |
| 123 | C5×C22⋊Q8 | — | 2 | 2 | no | — |
| 124 | C5×C22⋊Q8 | — | 2 | 4 | no | — |
| 125 | C5×C22⋊Q8 | — | 2 | 4 | no | — |
| 126 | C5×C22⋊Q8 | C23 | 1 | 4 | yes | — |
| 127 | C5×#121 | — | 2 | 4 | no | — |
| 128 | C5×#121 | — | 2 | 4 | no | — |
| 129 | C5×#121 | — | 2 | 2 | no | — |
| 130 | C5×#121 | — | 2 | 1 | no | — |
| 131 | C5×#121 | — | 2 | 1 | no | — |
| 132 | C5×#121 | — | 2 | 4 | no | — |
| 133 | C5×#121 | D4 | 1 | 2 | yes | — |
| 134 | C5×#121 | D4 | 1 | 2 | yes | — |
| 135 | C5×#121 | C23 | 1 | 4 | yes | — |
| 136 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 137 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 138 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 139 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 140 | C4×C5×D4 | — | 2 | 2 | no | — |
| 141 | C4×C5×D4 | — | 2 | 2 | no | — |
| 142 | C4×C5×D4 | — | 2 | 4 | no | — |
| 143 | C4×C5×D4 | — | 2 | 1 | no | — |
| 144 | C4×C5×D4 | — | 2 | 1 | no | — |
| 145 | C4×C5×D4 | C23 | 1 | 2 | yes | — |
| 146 | C4×C5×D4 | C23 | 1 | 2 | yes | — |
| 147 | C2×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 148 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 149 | C2×C42×C5 | — | 2 | 1 | no | — |
| 150 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 151 | #4097 | — | 2 | 16 | no | — |
| 152 | #4097 | — | 2 | 8 | no | — |
| 153 | #4097 | — | 4 | 4 | no | — |
| 154 | #4096 | — | 2 | 8 | no | — |
| 155 | #4096 | — | 2 | 16 | no | — |
| 156 | #4094 | — | 2 | 8 | no | — |
| 157 | #4090 | — | 2 | 2 | no | — |
| 158 | C2×#689 | — | 2 | 8 | no | — |
| 159 | C2×#689 | — | 2 | 16 | no | — |
| 160 | C2×#689 | C23 | 1 | 4 | yes | — |
| 161 | C2×#689 | C23 | 1 | 4 | yes | — |
| 162 | C2×#689 | C23 | 1 | 2 | yes | — |
| 163 | C2×#689 | C23 | 1 | 4 | yes | — |
| 164 | C2×#689 | C23 | 1 | 4 | yes | — |
| 165 | C2×#689 | C23 | 1 | 2 | yes | — |
| 166 | #4088 | — | 2 | 16 | no | — |
| 167 | #4088 | D4 | 1 | 8 | yes | complemented |
| 168 | C2×#688 | C23 | 1 | 2 | yes | — |
| 169 | C2×#688 | C23 | 1 | 2 | yes | — |
| 170 | #4084 | — | 2 | 2 | no | — |
| 171 | #4084 | — | 2 | 2 | no | — |
| 172 | #4082 | — | 2 | 2 | no | — |
| 173 | #4081 | — | 2 | 4 | no | — |
| 174 | D4×Dic5 | — | 2 | 2 | no | — |
| 175 | D4×Dic5 | — | 2 | 2 | no | — |
| 176 | C2×#687 | C23 | 1 | 2 | yes | — |
| 177 | C2×#687 | C23 | 1 | 4 | yes | — |
| 178 | C2×#687 | C23 | 1 | 4 | yes | — |
| 179 | C2×#686 | C23 | 1 | 2 | yes | — |
| 180 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 181 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 182 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 183 | C2×C4⋊Dic5 | — | 2 | 1 | no | — |
| 184 | C2×C4⋊Dic5 | — | 2 | 1 | no | — |
| 185 | #4070 | C23 | 1 | 4 | yes | — |
| 186 | #4070 | C23 | 1 | 4 | yes | — |
| 187 | C2×#681 | C23 | 1 | 4 | yes | — |
| 188 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 189 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 190 | C22×#168 | C23 | 1 | 4 | yes | — |
| 191 | C22×#168 | C23 | 1 | 2 | yes | — |
| 192 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 193 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 194 | #4034 | — | 2 | 2 | no | — |
| 195 | #4034 | — | 2 | 2 | no | — |
| 196 | #4029 | — | 2 | 4 | no | — |
| 197 | #4029 | — | 2 | 4 | no | — |
| 198 | #4024 | — | 2 | 4 | no | — |
| 199 | #4024 | — | 2 | 4 | no | — |
| 200 | C4×D20 | C23 | 1 | 1 | yes | characteristic |
| 201 | C4×D20 | C23 | 1 | 1 | yes | characteristic |
| 202 | #4018 | — | 2 | 1 | no | — |
| 203 | C42×D5 | — | 2 | 1 | no | — |
| 204 | #4015 | — | 2 | 1 | no | — |
| 205 | #4015 | — | 2 | 1 | no | — |
| 206 | #4015 | C23 | 1 | 2 | yes | — |
| 207 | #4015 | C23 | 1 | 2 | yes | — |
| 208 | C4×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 209 | C4×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 210 | #3967 | C23 | 1 | 2 | yes | — |
| 211 | #3967 | C23 | 1 | 2 | yes | — |
| 212 | #3967 | C23 | 1 | 2 | yes | — |
| 213 | #3967 | C23 | 1 | 2 | yes | — |
| 214 | #3964 | C23 | 1 | 2 | yes | — |
| 215 | #3964 | C23 | 1 | 2 | yes | — |
| 216 | C22⋊#168 | C23 | 1 | 4 | yes | — |
| 217 | C22⋊#168 | C23 | 1 | 4 | yes | — |
| 218 | #3942 | C23 | 1 | 2 | yes | — |
| 219 | #3942 | C23 | 1 | 4 | yes | — |
| 220 | #3942 | C23 | 1 | 4 | yes | — |
| 221 | #3941 | C23 | 1 | 2 | yes | — |
| 222 | #3940 | C23 | 1 | 2 | yes | — |
| 223 | #3939 | C23 | 1 | 2 | yes | — |
| 224 | C4⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 225 | C4⋊#168 | C23 | 1 | 2 | yes | — |
| 226 | C4⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 227 | #3935 | C23 | 1 | 2 | yes | — |
| 228 | C4×#168 | C23 | 1 | 2 | yes | — |
| 229 | C2×#578 | — | 5 | 2 | no | — |
| 230 | #3499 | — | 5 | 1 | no | — |
| 231 | #3497 | D5 | 1 | 1 | yes | characteristic, complemented |
| 232 | D4×Q16 | — | 5 | 2 | no | — |
| 233 | #3284 | — | 5 | 2 | no | — |
| 234 | #3278 | — | 5 | 2 | no | — |
| 235 | #3276 | — | 5 | 2 | no | — |
| 236 | #3270 | — | 5 | 4 | no | — |
| 237 | #3269 | — | 5 | 4 | no | — |
| 238 | #3152 | — | 5 | 1 | no | — |
| 239 | #3063 | — | 5 | 2 | no | — |
| 240 | #3035 | — | 5 | 1 | no | — |
| 241 | C2×#462 | — | 5 | 1 | no | — |
| 242 | #3013 | — | 5 | 2 | no | — |
| 243 | #3011 | — | 5 | 2 | no | — |
| 244 | C4×#137 | — | 5 | 1 | no | — |
| 245 | #2935 | — | 5 | 1 | no | — |
| 246 | C5×#41 | — | 2 | 4 | no | — |
| 247 | C5×#41 | — | 2 | 4 | no | — |
| 248 | C5×#41 | — | 2 | 8 | no | — |
| 249 | C5×#41 | — | 2 | 4 | no | — |
| 250 | C5×#41 | — | 2 | 4 | no | — |
| 251 | C5×#41 | — | 4 | 4 | no | — |
| 252 | C5×#41 | — | 4 | 16 | no | — |
| 253 | C5×#41 | — | 4 | 8 | no | — |
| 254 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 255 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 256 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 257 | C2×C5×Q8 | — | 2 | 8 | no | — |
| 258 | C2×C5×Q8 | — | 4 | 4 | no | — |
| 259 | C2×C5×Q8 | — | 4 | 8 | no | — |
| 260 | C2×C5×Q8 | C2×D4 | 1 | 4 | yes | — |
| 261 | C2×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 262 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 263 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 264 | C2×C5×D4 | — | 2 | 2 | no | — |
| 265 | C2×C5×D4 | — | 2 | 4 | no | — |
| 266 | C2×C5×D4 | — | 2 | 4 | no | — |
| 267 | C2×C5×D4 | — | 2 | 1 | no | — |
| 268 | C2×C5×D4 | — | 2 | 1 | no | — |
| 269 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 270 | C2×C5×D4 | C2×D4 | 1 | 4 | yes | — |
| 271 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 272 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 273 | C2×C5×D4 | C24 | 1 | 2 | yes | — |
| 274 | C22×C4×C5 | — | 2 | 1 | no | — |
| 275 | C22×C4×C5 | — | 2 | 4 | no | — |
| 276 | C22×C4×C5 | — | 2 | 1 | no | — |
| 277 | C22×C4×C5 | — | 2 | 4 | no | — |
| 278 | C22×C4×C5 | — | 2 | 2 | no | — |
| 279 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 282 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 283 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 284 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 285 | C22×Dic5 | — | 2 | 4 | no | — |
| 286 | C22×Dic5 | — | 2 | 2 | no | — |
| 287 | Q8×D5 | — | 4 | 8 | no | — |
| 288 | #711 | — | 4 | 8 | no | — |
| 289 | #711 | — | 4 | 16 | no | — |
| 290 | #709 | — | 2 | 2 | no | — |
| 291 | #709 | — | 2 | 8 | no | — |
| 292 | #709 | — | 4 | 4 | no | — |
| 293 | #709 | C2×D4 | 1 | 4 | yes | — |
| 294 | C2×D20 | C24 | 1 | 1 | yes | characteristic |
| 295 | C2×C4×D5 | — | 2 | 1 | no | — |
| 296 | C2×C4×D5 | — | 2 | 4 | no | — |
| 297 | C2×C4×D5 | — | 2 | 1 | no | — |
| 298 | C2×C4×D5 | — | 2 | 1 | no | — |
| 299 | C2×Dic10 | — | 2 | 4 | no | — |
| 300 | C2×Dic10 | — | 2 | 4 | no | — |
| 301 | C2×Dic10 | — | 2 | 8 | no | — |
| 302 | C2×Dic10 | — | 2 | 2 | no | — |
| 303 | C2×Dic10 | — | 2 | 4 | no | — |
| 304 | C2×Dic10 | — | 4 | 4 | no | — |
| 305 | C2×Dic10 | C24 | 1 | 4 | yes | — |
| 306 | C2×Dic10 | C24 | 1 | 1 | yes | characteristic |
| 307 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 308 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 309 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 310 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 311 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 312 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 313 | C5×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 314 | C5×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 315 | C5×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 316 | C5×C22⋊C4 | — | 2 | 4 | no | — |
| 317 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 318 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 319 | C5×C22⋊C4 | — | 2 | 4 | no | — |
| 320 | C5×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 321 | C5×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 322 | C42×C5 | — | 2 | 2 | no | — |
| 323 | C42×C5 | — | 2 | 2 | no | — |
| 324 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 327 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 328 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 329 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 330 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 331 | #689 | — | 2 | 8 | no | — |
| 332 | #689 | — | 2 | 8 | no | — |
| 333 | #689 | — | 2 | 4 | no | — |
| 334 | #689 | — | 2 | 8 | no | — |
| 335 | #689 | — | 4 | 4 | no | — |
| 336 | #689 | C2×D4 | 1 | 8 | yes | — |
| 337 | #688 | — | 2 | 4 | no | — |
| 338 | #688 | C2×D4 | 1 | 8 | yes | — |
| 339 | #687 | — | 2 | 4 | no | — |
| 340 | #687 | — | 2 | 8 | no | — |
| 341 | #687 | — | 4 | 4 | no | — |
| 342 | #686 | — | 2 | 4 | no | — |
| 343 | #685 | — | 2 | 1 | no | — |
| 344 | #685 | — | 2 | 1 | no | — |
| 345 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 346 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 347 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 348 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 349 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 350 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 351 | #683 | — | 2 | 1 | no | — |
| 352 | #683 | — | 2 | 1 | no | — |
| 353 | #683 | — | 2 | 4 | no | — |
| 354 | #683 | — | 2 | 4 | no | — |
| 355 | C4×Dic5 | — | 2 | 1 | no | — |
| 356 | C4×Dic5 | — | 2 | 1 | no | — |
| 357 | C4×Dic5 | — | 2 | 1 | no | — |
| 358 | #681 | — | 2 | 2 | no | — |
| 359 | #681 | — | 2 | 8 | no | — |
| 360 | #681 | C2×D4 | 1 | 4 | yes | — |
| 361 | C2×#168 | — | 2 | 4 | no | — |
| 362 | C2×#168 | — | 2 | 8 | no | — |
| 363 | C2×#168 | C24 | 1 | 2 | yes | — |
| 364 | C2×#168 | C24 | 1 | 2 | yes | — |
| 365 | C2×#168 | C24 | 1 | 2 | yes | — |
| 366 | C2×#168 | C24 | 1 | 2 | yes | — |
| 367 | C2×2−1+4 | — | 5 | 2 | no | — |
| 368 | C2×2−1+4 | C2×D5 | 1 | 2 | yes | — |
| 369 | #578 | — | 10 | 16 | no | — |
| 370 | C2×#137 | — | 5 | 1 | no | — |
| 371 | C2×#137 | — | 5 | 2 | no | — |
| 372 | C2×#137 | — | 5 | 4 | no | — |
| 373 | C2×#137 | — | 5 | 4 | no | — |
| 374 | C2×#137 | — | 5 | 2 | no | — |
| 375 | C2×#135 | — | 5 | 2 | no | — |
| 376 | C2×#135 | — | 5 | 4 | no | — |
| 377 | C22×Q16 | — | 5 | 2 | no | — |
| 378 | C22×Q16 | — | 5 | 4 | no | — |
| 379 | C2×#131 | — | 5 | 2 | no | — |
| 380 | #550 | — | 2 | 1 | no | — |
| 381 | #550 | C2×D5 | 1 | 2 | yes | — |
| 382 | D4×Q8 | — | 2 | 1 | no | — |
| 383 | D4×Q8 | — | 5 | 2 | no | — |
| 384 | D4×Q8 | — | 5 | 2 | no | — |
| 385 | D4×Q8 | C2×D5 | 1 | 2 | yes | — |
| 386 | #548 | — | 2 | 2 | no | — |
| 387 | #548 | C2×D5 | 1 | 4 | yes | — |
| 388 | #547 | — | 5 | 2 | no | — |
| 389 | #547 | — | 5 | 2 | no | — |
| 390 | #547 | — | 10 | 2 | no | — |
| 391 | #547 | — | 10 | 2 | no | — |
| 392 | #537 | — | 2 | 2 | no | — |
| 393 | #537 | C2×D5 | 1 | 2 | yes | — |
| 394 | #536 | — | 5 | 2 | no | — |
| 395 | #536 | — | 10 | 2 | no | — |
| 396 | #532 | — | 2 | 2 | no | — |
| 397 | #532 | — | 10 | 1 | no | — |
| 398 | #532 | C2×D5 | 1 | 1 | yes | characteristic |
| 399 | #532 | C2×D5 | 1 | 1 | yes | characteristic |
| 400 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 401 | C2×C4⋊Q8 | — | 10 | 1 | no | — |
| 402 | C4×#41 | — | 5 | 1 | no | — |
| 403 | C2×C4×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 404 | #497 | — | 5 | 4 | no | — |
| 405 | #494 | — | 5 | 2 | no | — |
| 406 | #492 | — | 5 | 2 | no | — |
| 407 | #470 | — | 5 | 4 | no | — |
| 408 | #468 | — | 5 | 4 | no | — |
| 409 | #467 | — | 5 | 4 | no | — |
| 410 | #465 | — | 5 | 4 | no | — |
| 411 | #464 | — | 5 | 2 | no | — |
| 412 | #463 | — | 5 | 2 | no | — |
| 413 | #462 | — | 5 | 1 | no | — |
| 414 | #462 | — | 5 | 4 | no | — |
| 415 | #462 | — | 5 | 2 | no | — |
| 416 | #462 | — | 5 | 2 | no | — |
| 417 | #461 | — | 5 | 1 | no | — |
| 418 | #460 | — | 5 | 1 | no | — |
| 419 | #459 | — | 5 | 1 | no | — |
| 420 | #452 | — | 5 | 4 | no | — |
| 421 | #452 | — | 5 | 4 | no | — |
| 422 | #452 | — | 5 | 4 | no | — |
| 423 | #451 | — | 5 | 4 | no | — |
| 424 | #451 | — | 5 | 4 | no | — |
| 425 | #451 | — | 5 | 4 | no | — |
| 426 | #449 | — | 5 | 4 | no | — |
| 427 | #448 | — | 5 | 4 | no | — |
| 428 | #441 | — | 5 | 2 | no | — |
| 429 | #440 | — | 5 | 2 | no | — |
| 430 | C4×Q16 | — | 5 | 2 | no | — |
| 431 | C4×SD16 | — | 5 | 2 | no | — |
| 432 | #436 | — | 5 | 2 | no | — |
| 433 | #435 | — | 5 | 4 | no | — |
| 434 | C8×D4 | — | 5 | 2 | no | — |
| 435 | #428 | — | 5 | 1 | no | — |
| 436 | C2×C4⋊C8 | — | 5 | 1 | no | — |
| 437 | #419 | — | 5 | 1 | no | — |
| 438 | #417 | — | 5 | 1 | no | — |
| 439 | #416 | — | 5 | 2 | no | — |
| 440 | C2×#103 | — | 5 | 2 | no | — |
| 441 | #408 | — | 5 | 2 | no | — |
| 442 | C4×M16 | — | 5 | 1 | no | — |
| 443 | C23×C5 | — | 2 | 2 | no | — |
| 444 | C23×C5 | C22×D4 | 1 | 4 | yes | — |
| 445 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 446 | C22×D5 | — | 2 | 1 | no | — |
| 447 | C5×Q8 | — | 2 | 4 | no | — |
| 448 | C5×Q8 | — | 2 | 4 | no | — |
| 449 | C5×Q8 | — | 2 | 2 | no | — |
| 450 | C5×Q8 | — | 2 | 2 | no | — |
| 451 | C5×Q8 | — | 2 | 2 | no | — |
| 452 | C5×Q8 | — | 4 | 8 | no | — |
| 453 | C5×Q8 | C22×D4 | 1 | 4 | yes | — |
| 454 | C5×D4 | — | 2 | 8 | no | — |
| 455 | C5×D4 | — | 2 | 4 | no | — |
| 456 | C5×D4 | — | 2 | 4 | no | — |
| 457 | C5×D4 | — | 2 | 2 | no | — |
| 458 | C5×D4 | — | 2 | 2 | no | — |
| 459 | C5×D4 | — | 4 | 2 | no | — |
| 460 | C5×D4 | — | 4 | 8 | no | — |
| 461 | C5×D4 | — | 4 | 4 | no | — |
| 462 | C5×D4 | — | 4 | 2 | no | — |
| 463 | C5×D4 | — | 8 | 1 | no | — |
| 464 | C5×D4 | — | 8 | 4 | no | — |
| 465 | C2×C4×C5 | — | 2 | 4 | no | — |
| 466 | C2×C4×C5 | — | 2 | 2 | no | — |
| 467 | C2×C4×C5 | — | 2 | 2 | no | — |
| 468 | C2×C4×C5 | — | 2 | 4 | no | — |
| 469 | C2×C4×C5 | — | 2 | 4 | no | — |
| 470 | C2×C4×C5 | — | 2 | 2 | no | — |
| 471 | C2×C4×C5 | — | 2 | 2 | no | — |
| 472 | C2×C4×C5 | — | 4 | 1 | no | — |
| 473 | C2×C4×C5 | — | 4 | 8 | no | — |
| 474 | C2×C4×C5 | — | 4 | 8 | no | — |
| 475 | C2×C4×C5 | — | 4 | 4 | no | — |
| 476 | C2×C4×C5 | — | 8 | 1 | no | — |
| 477 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 478 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 479 | C2×C4×C5 | C22×D4 | 1 | 4 | yes | — |
| 480 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 481 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 482 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 483 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 484 | C2×C4×C5 | H(5,𝔽2) | 1 | 2 | yes | — |
| 485 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 486 | C22⋊D5 | — | 2 | 4 | no | — |
| 487 | C22⋊D5 | — | 4 | 8 | no | — |
| 488 | C2×Dic5 | — | 2 | 1 | no | — |
| 489 | C2×Dic5 | — | 2 | 1 | no | — |
| 490 | C2×Dic5 | — | 2 | 1 | no | — |
| 491 | C2×Dic5 | — | 2 | 4 | no | — |
| 492 | C2×Dic5 | — | 4 | 8 | no | — |
| 493 | C2×Dic5 | — | 4 | 4 | no | — |
| 494 | D20 | — | 2 | 1 | no | — |
| 495 | D20 | C22×D4 | 1 | 2 | yes | — |
| 496 | C4×D5 | — | 2 | 4 | no | — |
| 497 | C4×D5 | — | 4 | 8 | no | — |
| 498 | C4×D5 | — | 4 | 2 | no | — |
| 499 | C4×D5 | — | 4 | 2 | no | — |
| 500 | Dic10 | — | 2 | 1 | no | — |
| 501 | Dic10 | — | 2 | 4 | no | — |
| 502 | Dic10 | — | 2 | 4 | no | — |
| 503 | Dic10 | — | 4 | 8 | no | — |
| 504 | Dic10 | — | 4 | 4 | no | — |
| 505 | Dic10 | C22×D4 | 1 | 2 | yes | — |
| 506 | #168 | — | 2 | 2 | no | — |
| 507 | #168 | — | 2 | 2 | no | — |
| 508 | #168 | — | 2 | 2 | no | — |
| 509 | #168 | C22×D4 | 1 | 4 | yes | — |
| 510 | 2−1+4 | — | 2 | 8 | no | — |
| 511 | 2−1+4 | — | 4 | 4 | no | — |
| 512 | 2−1+4 | — | 10 | 8 | no | — |
| 513 | 2−1+4 | — | 20 | 4 | no | — |
| 514 | C2×#41 | — | 2 | 4 | no | — |
| 515 | C2×#41 | — | 2 | 2 | no | — |
| 516 | C2×#41 | — | 5 | 1 | no | — |
| 517 | C2×#41 | — | 5 | 4 | no | — |
| 518 | C2×#41 | — | 10 | 2 | no | — |
| 519 | C2×#41 | — | 10 | 4 | no | — |
| 520 | C2×#41 | C22×D5 | 1 | 2 | yes | — |
| 521 | C2×#41 | C22×D5 | 1 | 4 | yes | — |
| 522 | C2×#41 | C22×D5 | 1 | 2 | yes | — |
| 523 | C22×Q8 | — | 2 | 2 | no | — |
| 524 | C22×Q8 | — | 5 | 2 | no | — |
| 525 | C22×Q8 | — | 5 | 4 | no | — |
| 526 | C22×Q8 | — | 10 | 2 | no | — |
| 527 | C22×Q8 | C22×D5 | 1 | 4 | yes | — |
| 528 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 529 | #137 | — | 5 | 8 | no | — |
| 530 | #137 | — | 10 | 8 | no | — |
| 531 | #137 | — | 10 | 16 | no | — |
| 532 | #137 | — | 10 | 16 | no | — |
| 533 | #137 | — | 20 | 4 | no | — |
| 534 | #135 | — | 10 | 16 | no | — |
| 535 | #135 | — | 10 | 8 | no | — |
| 536 | C2×Q16 | — | 5 | 2 | no | — |
| 537 | C2×Q16 | — | 5 | 2 | no | — |
| 538 | C2×Q16 | — | 5 | 4 | no | — |
| 539 | C2×Q16 | — | 5 | 4 | no | — |
| 540 | C2×Q16 | — | 5 | 4 | no | — |
| 541 | C2×Q16 | — | 5 | 4 | no | — |
| 542 | C2×Q16 | — | 10 | 16 | no | — |
| 543 | C2×Q16 | — | 10 | 8 | no | — |
| 544 | C2×SD16 | — | 5 | 2 | no | — |
| 545 | C2×SD16 | — | 5 | 2 | no | — |
| 546 | C2×SD16 | — | 5 | 2 | no | — |
| 547 | C2×SD16 | — | 5 | 4 | no | — |
| 548 | C2×SD16 | — | 5 | 4 | no | — |
| 549 | C2×D8 | — | 5 | 2 | no | — |
| 550 | #131 | — | 10 | 8 | no | — |
| 551 | C2×M16 | — | 5 | 1 | no | — |
| 552 | C2×M16 | — | 5 | 4 | no | — |
| 553 | C2×M16 | — | 5 | 1 | no | — |
| 554 | C22×C8 | — | 5 | 2 | no | — |
| 555 | C22×C8 | — | 5 | 4 | no | — |
| 556 | C4⋊Q8 | — | 2 | 2 | no | — |
| 557 | C4⋊Q8 | — | 5 | 2 | no | — |
| 558 | C4⋊Q8 | — | 5 | 2 | no | — |
| 559 | C4⋊Q8 | — | 10 | 2 | no | — |
| 560 | C4⋊Q8 | — | 10 | 2 | no | — |
| 561 | C4⋊Q8 | — | 10 | 2 | no | — |
| 562 | C4⋊Q8 | — | 10 | 1 | no | — |
| 563 | C4⋊Q8 | — | 10 | 1 | no | — |
| 564 | C4⋊Q8 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 565 | C4⋊Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 566 | #127 | — | 2 | 2 | no | — |
| 567 | #127 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 568 | #127 | C22×D5 | 1 | 1 | yes | characteristic |
| 569 | #124 | — | 2 | 4 | no | — |
| 570 | #124 | — | 10 | 2 | no | — |
| 571 | #124 | C22⋊D5 | 1 | 2 | yes | — |
| 572 | #124 | C22×D5 | 1 | 2 | yes | — |
| 573 | #123 | — | 10 | 4 | no | — |
| 574 | #123 | — | 10 | 4 | no | — |
| 575 | #123 | — | 10 | 4 | no | — |
| 576 | C22⋊Q8 | — | 2 | 2 | no | — |
| 577 | C22⋊Q8 | — | 2 | 4 | no | — |
| 578 | C22⋊Q8 | — | 2 | 4 | no | — |
| 579 | C22⋊Q8 | — | 5 | 4 | no | — |
| 580 | C22⋊Q8 | — | 5 | 4 | no | — |
| 581 | C22⋊Q8 | — | 10 | 4 | no | — |
| 582 | C22⋊Q8 | — | 10 | 4 | no | — |
| 583 | C22⋊Q8 | C22×D5 | 1 | 4 | yes | — |
| 584 | #121 | — | 2 | 4 | no | — |
| 585 | #121 | — | 2 | 4 | no | — |
| 586 | #121 | — | 2 | 2 | no | — |
| 587 | #121 | — | 2 | 1 | no | — |
| 588 | #121 | — | 2 | 1 | no | — |
| 589 | #121 | — | 2 | 4 | no | — |
| 590 | #121 | — | 10 | 2 | no | — |
| 591 | #121 | — | 10 | 2 | no | — |
| 592 | #121 | C22⋊D5 | 1 | 2 | yes | — |
| 593 | #121 | C22⋊D5 | 1 | 2 | yes | — |
| 594 | #121 | C22×D5 | 1 | 4 | yes | — |
| 595 | C4×Q8 | — | 2 | 1 | no | — |
| 596 | C4×Q8 | — | 2 | 1 | no | — |
| 597 | C4×Q8 | — | 5 | 1 | no | — |
| 598 | C4×Q8 | — | 5 | 1 | no | — |
| 599 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 600 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 601 | C4×D4 | — | 2 | 2 | no | — |
| 602 | C4×D4 | — | 2 | 2 | no | — |
| 603 | C4×D4 | — | 2 | 4 | no | — |
| 604 | C4×D4 | — | 2 | 1 | no | — |
| 605 | C4×D4 | — | 2 | 1 | no | — |
| 606 | C4×D4 | — | 5 | 1 | no | — |
| 607 | C4×D4 | — | 5 | 1 | no | — |
| 608 | C4×D4 | — | 10 | 2 | no | — |
| 609 | C4×D4 | — | 10 | 2 | no | — |
| 610 | C4×D4 | — | 10 | 1 | no | — |
| 611 | C4×D4 | — | 10 | 1 | no | — |
| 612 | C4×D4 | C22×D5 | 1 | 2 | yes | — |
| 613 | C4×D4 | C22×D5 | 1 | 2 | yes | — |
| 614 | #117 | — | 5 | 1 | no | — |
| 615 | #117 | — | 10 | 1 | no | — |
| 616 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 617 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 618 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 619 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 620 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 621 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 622 | C2×C42 | — | 2 | 1 | no | — |
| 623 | C2×C42 | — | 10 | 1 | no | — |
| 624 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 625 | #107 | — | 5 | 2 | no | — |
| 626 | #106 | — | 5 | 2 | no | — |
| 627 | C4⋊C8 | — | 5 | 1 | no | — |
| 628 | C4⋊C8 | — | 5 | 2 | no | — |
| 629 | C4⋊C8 | — | 5 | 1 | no | — |
| 630 | #103 | — | 5 | 2 | no | — |
| 631 | #103 | — | 5 | 2 | no | — |
| 632 | #103 | — | 5 | 2 | no | — |
| 633 | #103 | — | 5 | 2 | no | — |
| 634 | #103 | — | 5 | 4 | no | — |
| 635 | #103 | — | 5 | 4 | no | — |
| 636 | #103 | — | 5 | 2 | no | — |
| 637 | #102 | — | 5 | 2 | no | — |
| 638 | #102 | — | 5 | 2 | no | — |
| 639 | #102 | — | 5 | 2 | no | — |
| 640 | C22⋊C8 | — | 5 | 4 | no | — |
| 641 | C22⋊C8 | — | 5 | 4 | no | — |
| 642 | #97 | — | 5 | 2 | no | — |
| 643 | C4×C8 | — | 5 | 2 | no | — |
| 644 | C22×C5 | — | 2 | 1 | no | — |
| 645 | C22×C5 | — | 2 | 1 | no | — |
| 646 | C22×C5 | — | 2 | 4 | no | — |
| 647 | C22×C5 | — | 2 | 4 | no | — |
| 648 | C22×C5 | — | 2 | 4 | no | — |
| 649 | C22×C5 | — | 4 | 2 | no | — |
| 650 | C22×C5 | — | 4 | 2 | no | — |
| 651 | C22×C5 | — | 4 | 2 | no | — |
| 652 | C22×C5 | D42 | 1 | 2 | yes | — |
| 653 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 654 | C2×D5 | — | 2 | 2 | no | — |
| 655 | C2×D5 | — | 4 | 1 | no | — |
| 656 | C2×D5 | — | 4 | 1 | no | — |
| 657 | C4×C5 | — | 2 | 1 | no | — |
| 658 | C4×C5 | — | 2 | 1 | no | — |
| 659 | C4×C5 | — | 2 | 4 | no | — |
| 660 | C4×C5 | — | 2 | 4 | no | — |
| 661 | C4×C5 | — | 2 | 1 | no | — |
| 662 | C4×C5 | — | 4 | 2 | no | — |
| 663 | C4×C5 | — | 4 | 2 | no | — |
| 664 | C4×C5 | D42 | 1 | 2 | yes | — |
| 665 | C4×C5 | #578 | 1 | 2 | yes | complemented |
| 666 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 667 | C4×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 668 | Dic5 | — | 2 | 2 | no | — |
| 669 | Dic5 | — | 4 | 1 | no | — |
| 670 | Dic5 | — | 4 | 4 | no | — |
| 671 | Dic5 | — | 4 | 1 | no | — |
| 672 | #41 | — | 2 | 4 | no | — |
| 673 | #41 | — | 2 | 4 | no | — |
| 674 | #41 | — | 2 | 8 | no | — |
| 675 | #41 | — | 2 | 4 | no | — |
| 676 | #41 | — | 2 | 4 | no | — |
| 677 | #41 | — | 4 | 4 | no | — |
| 678 | #41 | — | 4 | 16 | no | — |
| 679 | #41 | — | 4 | 8 | no | — |
| 680 | #41 | — | 5 | 4 | no | — |
| 681 | #41 | — | 10 | 8 | no | — |
| 682 | #41 | — | 10 | 2 | no | — |
| 683 | #41 | — | 20 | 4 | no | — |
| 684 | #41 | — | 20 | 8 | no | — |
| 685 | #41 | — | 20 | 16 | no | — |
| 686 | C2×Q8 | — | 2 | 2 | no | — |
| 687 | C2×Q8 | — | 2 | 1 | no | — |
| 688 | C2×Q8 | — | 2 | 4 | no | — |
| 689 | C2×Q8 | — | 2 | 8 | no | — |
| 690 | C2×Q8 | — | 4 | 4 | no | — |
| 691 | C2×Q8 | — | 4 | 8 | no | — |
| 692 | C2×Q8 | — | 5 | 1 | no | — |
| 693 | C2×Q8 | — | 5 | 4 | no | — |
| 694 | C2×Q8 | — | 10 | 8 | no | — |
| 695 | C2×Q8 | — | 10 | 4 | no | — |
| 696 | C2×Q8 | — | 10 | 2 | no | — |
| 697 | C2×Q8 | — | 10 | 4 | no | — |
| 698 | C2×Q8 | — | 10 | 4 | no | — |
| 699 | C2×Q8 | — | 20 | 4 | no | — |
| 700 | C2×Q8 | — | 20 | 8 | no | — |
| 701 | C2×Q8 | D4×D5 | 1 | 4 | yes | — |
| 702 | C2×Q8 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 703 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 704 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 705 | C2×D4 | — | 2 | 2 | no | — |
| 706 | C2×D4 | — | 2 | 4 | no | — |
| 707 | C2×D4 | — | 2 | 4 | no | — |
| 708 | C2×D4 | — | 2 | 1 | no | — |
| 709 | C2×D4 | — | 2 | 1 | no | — |
| 710 | C2×D4 | — | 5 | 1 | no | — |
| 711 | C2×D4 | — | 10 | 1 | no | — |
| 712 | C2×D4 | — | 10 | 4 | no | — |
| 713 | C2×D4 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 714 | C2×D4 | C2×C22⋊D5 | 1 | 4 | yes | — |
| 715 | C2×D4 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 716 | C2×D4 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 717 | C2×D4 | C23×D5 | 1 | 2 | yes | — |
| 718 | C22×C4 | — | 2 | 1 | no | — |
| 719 | C22×C4 | — | 2 | 4 | no | — |
| 720 | C22×C4 | — | 2 | 1 | no | — |
| 721 | C22×C4 | — | 2 | 4 | no | — |
| 722 | C22×C4 | — | 2 | 2 | no | — |
| 723 | C22×C4 | — | 10 | 1 | no | — |
| 724 | C22×C4 | — | 10 | 2 | no | — |
| 725 | C22×C4 | — | 10 | 4 | no | — |
| 726 | C22×C4 | — | 10 | 1 | no | — |
| 727 | C22×C4 | — | 10 | 1 | no | — |
| 728 | C22×C4 | — | 10 | 4 | no | — |
| 729 | C22×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 730 | C22×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 731 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 732 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 733 | Q16 | — | 5 | 8 | no | — |
| 734 | Q16 | — | 10 | 8 | no | — |
| 735 | Q16 | — | 10 | 4 | no | — |
| 736 | Q16 | — | 10 | 8 | no | — |
| 737 | Q16 | — | 10 | 8 | no | — |
| 738 | Q16 | — | 20 | 4 | no | — |
| 739 | SD16 | — | 5 | 8 | no | — |
| 740 | SD16 | — | 10 | 8 | no | — |
| 741 | SD16 | — | 10 | 4 | no | — |
| 742 | SD16 | — | 10 | 4 | no | — |
| 743 | SD16 | — | 20 | 4 | no | — |
| 744 | D8 | — | 10 | 4 | no | — |
| 745 | M16 | — | 5 | 4 | no | — |
| 746 | M16 | — | 10 | 8 | no | — |
| 747 | M16 | — | 10 | 2 | no | — |
| 748 | C2×C8 | — | 5 | 2 | no | — |
| 749 | C2×C8 | — | 5 | 2 | no | — |
| 750 | C2×C8 | — | 5 | 2 | no | — |
| 751 | C2×C8 | — | 5 | 2 | no | — |
| 752 | C2×C8 | — | 10 | 8 | no | — |
| 753 | C2×C8 | — | 10 | 4 | no | — |
| 754 | C4⋊C4 | — | 2 | 2 | no | — |
| 755 | C4⋊C4 | — | 2 | 2 | no | — |
| 756 | C4⋊C4 | — | 2 | 1 | no | — |
| 757 | C4⋊C4 | — | 2 | 1 | no | — |
| 758 | C4⋊C4 | — | 2 | 1 | no | — |
| 759 | C4⋊C4 | — | 2 | 4 | no | — |
| 760 | C4⋊C4 | — | 5 | 1 | no | — |
| 761 | C4⋊C4 | — | 5 | 1 | no | — |
| 762 | C4⋊C4 | — | 10 | 2 | no | — |
| 763 | C4⋊C4 | — | 10 | 2 | no | — |
| 764 | C4⋊C4 | — | 10 | 4 | no | — |
| 765 | C4⋊C4 | — | 10 | 4 | no | — |
| 766 | C4⋊C4 | — | 10 | 2 | no | — |
| 767 | C4⋊C4 | — | 10 | 2 | no | — |
| 768 | C4⋊C4 | — | 10 | 1 | no | — |
| 769 | C4⋊C4 | — | 10 | 1 | no | — |
| 770 | C4⋊C4 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 771 | C4⋊C4 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 772 | C4⋊C4 | C23×D5 | 1 | 2 | yes | — |
| 773 | C22⋊C4 | — | 2 | 4 | no | — |
| 774 | C22⋊C4 | — | 2 | 2 | no | — |
| 775 | C22⋊C4 | — | 2 | 2 | no | — |
| 776 | C22⋊C4 | — | 2 | 4 | no | — |
| 777 | C22⋊C4 | — | 10 | 1 | no | — |
| 778 | C22⋊C4 | — | 10 | 4 | no | — |
| 779 | C22⋊C4 | — | 10 | 4 | no | — |
| 780 | C22⋊C4 | — | 10 | 1 | no | — |
| 781 | C22⋊C4 | — | 10 | 1 | no | — |
| 782 | C22⋊C4 | C2×C22⋊D5 | 1 | 4 | yes | — |
| 783 | C22⋊C4 | C2×C22⋊D5 | 1 | 4 | yes | — |
| 784 | C42 | — | 2 | 2 | no | — |
| 785 | C42 | — | 2 | 2 | no | — |
| 786 | C42 | — | 10 | 1 | no | — |
| 787 | C42 | — | 10 | 1 | no | — |
| 788 | C42 | — | 10 | 1 | no | — |
| 789 | C42 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 790 | C42 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 791 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 792 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 793 | C2×C5 | — | 2 | 2 | no | — |
| 794 | C2×C5 | — | 4 | 4 | no | — |
| 795 | C2×C5 | — | 8 | 2 | no | — |
| 796 | C2×C5 | C2×D42 | 1 | 1 | yes | characteristic |
| 797 | C2×C5 | C2×#578 | 1 | 1 | yes | characteristic |
| 798 | C2×C5 | #3586 | 1 | 1 | yes | characteristic |
| 799 | D5 | — | 4 | 2 | no | — |
| 800 | C23 | — | 2 | 2 | no | — |
| 801 | C23 | — | 10 | 1 | no | — |
| 802 | C23 | C22×C22⋊D5 | 1 | 4 | yes | — |
| 803 | C23 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 804 | Q8 | — | 2 | 4 | no | — |
| 805 | Q8 | — | 2 | 4 | no | — |
| 806 | Q8 | — | 2 | 2 | no | — |
| 807 | Q8 | — | 2 | 2 | no | — |
| 808 | Q8 | — | 2 | 2 | no | — |
| 809 | Q8 | — | 4 | 8 | no | — |
| 810 | Q8 | — | 5 | 2 | no | — |
| 811 | Q8 | — | 10 | 1 | no | — |
| 812 | Q8 | — | 10 | 4 | no | — |
| 813 | Q8 | — | 10 | 4 | no | — |
| 814 | Q8 | — | 20 | 8 | no | — |
| 815 | Q8 | — | 20 | 4 | no | — |
| 816 | Q8 | C2×D4×D5 | 1 | 4 | yes | — |
| 817 | D4 | — | 2 | 8 | no | — |
| 818 | D4 | — | 2 | 4 | no | — |
| 819 | D4 | — | 2 | 4 | no | — |
| 820 | D4 | — | 2 | 2 | no | — |
| 821 | D4 | — | 2 | 2 | no | — |
| 822 | D4 | — | 4 | 2 | no | — |
| 823 | D4 | — | 4 | 8 | no | — |
| 824 | D4 | — | 4 | 4 | no | — |
| 825 | D4 | — | 4 | 2 | no | — |
| 826 | D4 | — | 5 | 2 | no | — |
| 827 | D4 | — | 8 | 1 | no | — |
| 828 | D4 | — | 8 | 4 | no | — |
| 829 | D4 | — | 10 | 4 | no | — |
| 830 | D4 | — | 10 | 1 | no | — |
| 831 | D4 | — | 20 | 8 | no | — |
| 832 | C2×C4 | — | 2 | 4 | no | — |
| 833 | C2×C4 | — | 2 | 2 | no | — |
| 834 | C2×C4 | — | 2 | 2 | no | — |
| 835 | C2×C4 | — | 2 | 4 | no | — |
| 836 | C2×C4 | — | 2 | 4 | no | — |
| 837 | C2×C4 | — | 2 | 2 | no | — |
| 838 | C2×C4 | — | 2 | 2 | no | — |
| 839 | C2×C4 | — | 4 | 1 | no | — |
| 840 | C2×C4 | — | 4 | 8 | no | — |
| 841 | C2×C4 | — | 4 | 8 | no | — |
| 842 | C2×C4 | — | 4 | 4 | no | — |
| 843 | C2×C4 | — | 8 | 1 | no | — |
| 844 | C2×C4 | — | 10 | 1 | no | — |
| 845 | C2×C4 | — | 10 | 4 | no | — |
| 846 | C2×C4 | — | 10 | 1 | no | — |
| 847 | C2×C4 | — | 10 | 1 | no | — |
| 848 | C2×C4 | — | 10 | 4 | no | — |
| 849 | C2×C4 | — | 20 | 8 | no | — |
| 850 | C2×C4 | — | 20 | 2 | no | — |
| 851 | C2×C4 | — | 20 | 8 | no | — |
| 852 | C2×C4 | — | 20 | 4 | no | — |
| 853 | C2×C4 | — | 20 | 2 | no | — |
| 854 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 855 | C2×C4 | #4144 | 1 | 2 | yes | — |
| 856 | C2×C4 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 857 | C2×C4 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 858 | C2×C4 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 859 | C2×C4 | C22×C22⋊D5 | 1 | 4 | yes | — |
| 860 | C2×C4 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 861 | C2×C4 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 862 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 863 | C8 | — | 5 | 4 | no | — |
| 864 | C8 | — | 10 | 2 | no | — |
| 865 | C8 | — | 10 | 2 | no | — |
| 866 | C8 | — | 10 | 2 | no | — |
| 867 | C5 | #61097 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 868 | C22 | — | 2 | 1 | no | — |
| 869 | C22 | — | 2 | 1 | no | — |
| 870 | C22 | — | 2 | 4 | no | — |
| 871 | C22 | — | 2 | 4 | no | — |
| 872 | C22 | — | 2 | 4 | no | — |
| 873 | C22 | — | 4 | 2 | no | — |
| 874 | C22 | — | 4 | 2 | no | — |
| 875 | C22 | — | 4 | 2 | no | — |
| 876 | C22 | — | 10 | 2 | no | — |
| 877 | C22 | — | 20 | 1 | no | — |
| 878 | C22 | — | 20 | 1 | no | — |
| 879 | C22 | D4×C22⋊D5 | 1 | 2 | yes | — |
| 880 | C22 | C23×C22⋊D5 | 1 | 1 | yes | characteristic |
| 881 | C4 | — | 2 | 4 | no | — |
| 882 | C4 | — | 2 | 4 | no | — |
| 883 | C4 | — | 2 | 1 | no | — |
| 884 | C4 | — | 2 | 1 | no | — |
| 885 | C4 | — | 2 | 1 | no | — |
| 886 | C4 | — | 4 | 2 | no | — |
| 887 | C4 | — | 4 | 2 | no | — |
| 888 | C4 | — | 10 | 2 | no | — |
| 889 | C4 | — | 20 | 4 | no | — |
| 890 | C4 | — | 20 | 1 | no | — |
| 891 | C4 | — | 20 | 1 | no | — |
| 892 | C4 | D4×C22⋊D5 | 1 | 2 | yes | — |
| 893 | C4 | #66172 | 1 | 2 | yes | complemented |
| 894 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 895 | C4 | C2×#4144 | 1 | 1 | yes | characteristic |
| 896 | C2 | — | 2 | 2 | no | — |
| 897 | C2 | — | 4 | 4 | no | — |
| 898 | C2 | — | 8 | 2 | no | — |
| 899 | C2 | — | 20 | 2 | no | — |
| 900 | C2 | C2×D4×C22⋊D5 | 1 | 1 | yes | characteristic |
| 901 | C2 | C2×#66172 | 1 | 1 | yes | characteristic |
| 902 | C2 | #10619200 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C5×#3497 | C2 | semidirect |
| 2. C2×#66172 | C2 | semidirect |
| 3. #10618144 | C2 | semidirect |
| 4. #10615848 | C2 | semidirect |
| 5. #10615315 | C2 | semidirect |
| 6. #10615310 | C2 | semidirect |
| 7. D4×#689 | C2 | semidirect |
| 8. #10615291 | C2 | semidirect |
| 9. #10615277 | C2 | semidirect |
| 10. #10615274 | C2 | semidirect |
| 11. #10615158 | C2 | semidirect |
| 12. #10615154 | C2 | semidirect |
| 13. #10615027 | C2 | semidirect |
| 14. #10615019 | C2 | semidirect |
| 15. #10615008 | C2 | semidirect |
| 16. C2×#65320 | C2 | semidirect |
| 17. C4×#4088 | C2 | semidirect |
| 167. #4088 | D4 | semidirect |
| 231. #3497 | D5 | semidirect |
| 665. C4×C5 | #578 | semidirect |
| 867. C5 | #61097 | semidirect |
| 893. C4 | #66172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3497 | 2 |
| C2×#66172 | 2 |
| #10618144 | 2 |
| #10615848 | 2 |
| #10615315 | 2 |
| #10615310 | 2 |
| D4×#689 | 2 |
| #10615291 | 2 |
| #10615277 | 2 |
| #10615274 | 2 |
| #10615158 | 2 |
| #10615154 | 2 |
| #10615027 | 2 |
| #10615019 | 2 |
| #10615008 | 2 |
| C2×#65320 | 2 |
| C4×#4088 | 2 |
| #61097 | 5 |