Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1300 conjugacy classes of subgroups.
The subgroup lattice has 866 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129620 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13124566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13124564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13124209 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13124125 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13123318 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13116119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13116117 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13115953 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13115951 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13115382 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13115196 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13115057 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #13114786 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#1881 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #11719648 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#88257 | C22 | 1 | 1 | yes | characteristic |
| 18 | C13×#575 | C22 | 1 | 1 | yes | characteristic |
| 19 | C13×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#88205 | C22 | 1 | 1 | yes | characteristic |
| 21 | #11719527 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#88203 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#88203 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #11719524 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #11719484 | — | 2 | 2 | no | — |
| 26 | D13×#137 | — | 2 | 2 | no | — |
| 27 | #11719480 | — | 2 | 2 | no | — |
| 28 | #11719478 | — | 2 | 2 | no | — |
| 29 | #11719476 | — | 2 | 2 | no | — |
| 30 | #11719475 | — | 2 | 2 | no | — |
| 31 | C2×#88163 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#88162 | C22 | 1 | 1 | yes | characteristic |
| 33 | #11719450 | C22 | 1 | 1 | yes | characteristic |
| 34 | C22×#6095 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #11719230 | C22 | 1 | 1 | yes | characteristic |
| 36 | C13×#421 | C22 | 1 | 1 | yes | characteristic |
| 37 | C13×#416 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C13×#408 | C22 | 1 | 1 | yes | characteristic |
| 39 | #11718898 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11718864 | — | 2 | 2 | no | — |
| 41 | #11718860 | — | 2 | 2 | no | — |
| 42 | #11718803 | — | 2 | 2 | no | — |
| 43 | #11718802 | — | 2 | 2 | no | — |
| 44 | C2×#88064 | — | 2 | 2 | no | — |
| 45 | C2×#88064 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#88064 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #11718793 | — | 2 | 2 | no | — |
| 48 | #11718793 | C22 | 1 | 1 | yes | characteristic |
| 49 | #11718793 | C22 | 1 | 1 | yes | characteristic |
| 50 | #11718793 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#88063 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#88063 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #11718786 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #11718785 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #11718771 | C22 | 1 | 1 | yes | characteristic |
| 56 | #11718771 | C22 | 1 | 1 | yes | characteristic |
| 57 | #11718666 | C22 | 1 | 1 | yes | characteristic |
| 58 | #11718665 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #11718488 | — | 2 | 2 | no | — |
| 60 | #11718483 | — | 2 | 2 | no | — |
| 61 | #11718467 | — | 2 | 2 | no | — |
| 62 | #11718442 | — | 2 | 2 | no | — |
| 63 | C13×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C13×#341 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #11718144 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #11718125 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 69 | #88257 | — | 2 | 2 | no | — |
| 70 | #88257 | — | 2 | 2 | no | — |
| 71 | #88257 | — | 2 | 1 | no | — |
| 72 | #88257 | — | 2 | 1 | no | — |
| 73 | #88257 | — | 4 | 1 | no | — |
| 74 | #88257 | — | 4 | 1 | no | — |
| 75 | #88256 | — | 2 | 1 | no | — |
| 76 | #88256 | — | 2 | 1 | no | — |
| 77 | #41×D13 | — | 2 | 2 | no | — |
| 78 | #41×D13 | — | 4 | 1 | no | — |
| 79 | #88254 | — | 2 | 1 | no | — |
| 80 | C2×Q8×D13 | D4 | 1 | 2 | yes | — |
| 81 | #88251 | — | 2 | 1 | no | — |
| 82 | #88251 | — | 2 | 2 | no | — |
| 83 | C2×#6129 | — | 2 | 2 | no | — |
| 84 | C2×#6129 | D4 | 1 | 2 | yes | — |
| 85 | C2×#6127 | — | 2 | 1 | no | — |
| 86 | C2×#6127 | — | 4 | 1 | no | — |
| 87 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 89 | C22×D52 | C23 | 1 | 1 | yes | characteristic |
| 90 | C22×Dic26 | — | 2 | 1 | no | — |
| 91 | C22×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 92 | C13×#137 | — | 2 | 1 | no | — |
| 93 | C13×#137 | D4 | 1 | 2 | yes | complemented |
| 94 | C13×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 95 | C13×AGL(1,ℤ/8) | D4 | 1 | 2 | yes | complemented |
| 96 | C13×#135 | — | 2 | 2 | no | — |
| 97 | C13×#131 | — | 2 | 2 | no | — |
| 98 | C13×#131 | — | 4 | 1 | no | — |
| 99 | C2×C13×M16 | — | 2 | 2 | no | — |
| 100 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 104 | C13×#117 | C23 | 1 | 1 | yes | characteristic |
| 105 | #88205 | — | 2 | 2 | no | — |
| 106 | #88205 | — | 2 | 2 | no | — |
| 107 | #88205 | D4 | 1 | 2 | yes | complemented |
| 108 | #88204 | — | 2 | 2 | no | — |
| 109 | #88203 | — | 2 | 2 | no | — |
| 110 | #88203 | — | 2 | 2 | no | — |
| 111 | #88203 | — | 2 | 2 | no | — |
| 112 | #88203 | — | 4 | 1 | no | — |
| 113 | #88203 | D4 | 1 | 2 | yes | complemented |
| 114 | #88202 | — | 2 | 2 | no | — |
| 115 | #88202 | — | 4 | 1 | no | — |
| 116 | C2×#6107 | — | 2 | 1 | no | — |
| 117 | #88196 | — | 2 | 1 | no | — |
| 118 | C2×#6106 | — | 2 | 1 | no | — |
| 119 | C2×#6106 | — | 2 | 1 | no | — |
| 120 | C2×#6105 | — | 2 | 1 | no | — |
| 121 | #88186 | — | 2 | 1 | no | — |
| 122 | C2×#6104 | — | 2 | 1 | no | — |
| 123 | C2×#6104 | — | 2 | 1 | no | — |
| 124 | C2×#6099 | — | 2 | 2 | no | — |
| 125 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 126 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 129 | #88172 | — | 2 | 4 | no | — |
| 130 | Q16×D13 | — | 2 | 4 | no | — |
| 131 | #88170 | — | 2 | 4 | no | — |
| 132 | #88169 | — | 2 | 4 | no | — |
| 133 | #88169 | — | 2 | 4 | no | — |
| 134 | SD16×D13 | — | 2 | 4 | no | — |
| 135 | #88166 | — | 2 | 4 | no | — |
| 136 | #88165 | — | 2 | 4 | no | — |
| 137 | #88163 | — | 2 | 2 | no | — |
| 138 | #88163 | — | 2 | 2 | no | — |
| 139 | #88162 | — | 2 | 2 | no | — |
| 140 | #88162 | — | 4 | 1 | no | — |
| 141 | #88161 | — | 2 | 2 | no | — |
| 142 | M16×D13 | — | 2 | 2 | no | — |
| 143 | C2×Dic52 | — | 2 | 1 | no | — |
| 144 | C2×D104 | — | 2 | 1 | no | — |
| 145 | C2×#6095 | — | 2 | 1 | no | — |
| 146 | C2×#6095 | — | 2 | 2 | no | — |
| 147 | C2×#6095 | — | 2 | 1 | no | — |
| 148 | C2×#6095 | — | 4 | 1 | no | — |
| 149 | C2×#6095 | — | 4 | 1 | no | — |
| 150 | #88155 | — | 2 | 2 | no | — |
| 151 | #88149 | — | 2 | 2 | no | — |
| 152 | #88136 | — | 2 | 2 | no | — |
| 153 | #88129 | — | 2 | 1 | no | — |
| 154 | #88128 | — | 2 | 1 | no | — |
| 155 | C13×#104 | — | 2 | 2 | no | — |
| 156 | C13×#103 | — | 2 | 1 | no | — |
| 157 | C13×#102 | — | 2 | 1 | no | — |
| 158 | C13×C22⋊C8 | — | 4 | 1 | no | — |
| 159 | #88076 | — | 2 | 1 | no | — |
| 160 | #88073 | — | 2 | 1 | no | — |
| 161 | #88064 | — | 2 | 1 | no | — |
| 162 | #88064 | — | 2 | 1 | no | — |
| 163 | #88064 | — | 2 | 2 | no | — |
| 164 | #88064 | — | 2 | 2 | no | — |
| 165 | #88064 | D4 | 1 | 2 | yes | — |
| 166 | #88063 | — | 2 | 1 | no | — |
| 167 | #88063 | — | 2 | 1 | no | — |
| 168 | #88063 | — | 2 | 2 | no | — |
| 169 | #88063 | — | 2 | 2 | no | — |
| 170 | #88063 | D4 | 1 | 2 | yes | — |
| 171 | #88062 | — | 2 | 2 | no | — |
| 172 | #88060 | — | 2 | 2 | no | — |
| 173 | #88060 | — | 4 | 1 | no | — |
| 174 | #88059 | — | 2 | 2 | no | — |
| 175 | #88050 | — | 2 | 2 | no | — |
| 176 | #88045 | — | 2 | 2 | no | — |
| 177 | #24422 | — | 13 | 1 | no | maximal, Sylow |
| 178 | C23×D13 | — | 2 | 1 | no | — |
| 179 | C13×#41 | — | 2 | 1 | no | — |
| 180 | C13×#41 | — | 2 | 1 | no | — |
| 181 | C13×#41 | — | 2 | 1 | no | — |
| 182 | C13×#41 | — | 2 | 1 | no | — |
| 183 | C13×#41 | — | 2 | 1 | no | — |
| 184 | C13×#41 | — | 2 | 1 | no | — |
| 185 | C13×#41 | C2×D4 | 1 | 2 | yes | — |
| 186 | C13×#41 | C2×D4 | 1 | 2 | yes | — |
| 187 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×D4×C13 | — | 2 | 1 | no | — |
| 190 | C2×D4×C13 | — | 2 | 1 | no | — |
| 191 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C22×C4×C13 | — | 2 | 1 | no | — |
| 194 | C22×C4×C13 | — | 2 | 1 | no | — |
| 195 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 196 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 197 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 198 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 199 | C2×C22⋊D13 | #41 | 1 | 2 | yes | — |
| 200 | C22×Dic13 | — | 2 | 1 | no | — |
| 201 | C22×Dic13 | — | 2 | 2 | no | — |
| 202 | #6131 | — | 2 | 2 | no | — |
| 203 | #6131 | — | 4 | 1 | no | — |
| 204 | Q8×D13 | — | 2 | 2 | no | — |
| 205 | Q8×D13 | — | 2 | 4 | no | — |
| 206 | Q8×D13 | — | 4 | 2 | no | — |
| 207 | Q8×D13 | — | 4 | 1 | no | — |
| 208 | #6129 | — | 2 | 2 | no | — |
| 209 | #6129 | — | 2 | 4 | no | — |
| 210 | #6129 | — | 4 | 2 | no | — |
| 211 | #6129 | — | 4 | 1 | no | — |
| 212 | #6129 | — | 4 | 2 | no | — |
| 213 | #6129 | — | 4 | 4 | no | — |
| 214 | #6129 | — | 4 | 4 | no | — |
| 215 | #6129 | — | 4 | 2 | no | — |
| 216 | D4×D13 | — | 2 | 2 | no | — |
| 217 | D4×D13 | — | 4 | 1 | no | — |
| 218 | D4×D13 | — | 4 | 2 | no | — |
| 219 | D4×D13 | — | 4 | 2 | no | — |
| 220 | #6127 | — | 2 | 1 | no | — |
| 221 | #6127 | — | 2 | 1 | no | — |
| 222 | #6127 | — | 2 | 1 | no | — |
| 223 | #6127 | — | 2 | 1 | no | — |
| 224 | #6127 | — | 2 | 1 | no | — |
| 225 | #6127 | — | 2 | 1 | no | — |
| 226 | #6127 | — | 2 | 1 | no | — |
| 227 | #6127 | — | 2 | 1 | no | — |
| 228 | #6127 | — | 4 | 1 | no | — |
| 229 | #6127 | — | 4 | 1 | no | — |
| 230 | #6127 | — | 4 | 2 | no | — |
| 231 | #6127 | — | 4 | 2 | no | — |
| 232 | #6127 | — | 4 | 2 | no | — |
| 233 | #6127 | — | 4 | 2 | no | — |
| 234 | C2×D52 | — | 2 | 1 | no | — |
| 235 | C2×D52 | — | 2 | 1 | no | — |
| 236 | C2×D52 | — | 2 | 1 | no | — |
| 237 | C2×D52 | — | 2 | 1 | no | — |
| 238 | C2×D52 | — | 2 | 1 | no | — |
| 239 | C2×D52 | — | 2 | 1 | no | — |
| 240 | C2×D52 | — | 4 | 1 | no | — |
| 241 | C2×D52 | — | 4 | 2 | no | — |
| 242 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×C4×D13 | — | 2 | 2 | no | — |
| 245 | C2×C4×D13 | — | 2 | 1 | no | — |
| 246 | C2×C4×D13 | — | 4 | 2 | no | — |
| 247 | C2×C4×D13 | C2×D4 | 1 | 2 | yes | — |
| 248 | C2×Dic26 | — | 2 | 1 | no | — |
| 249 | C2×Dic26 | — | 2 | 1 | no | — |
| 250 | C2×Dic26 | — | 2 | 1 | no | — |
| 251 | C2×Dic26 | — | 2 | 1 | no | — |
| 252 | C2×Dic26 | — | 2 | 1 | no | — |
| 253 | C2×Dic26 | — | 2 | 2 | no | — |
| 254 | C2×Dic26 | — | 4 | 1 | no | — |
| 255 | C2×Dic26 | — | 4 | 2 | no | — |
| 256 | C2×Dic26 | — | 4 | 2 | no | — |
| 257 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 259 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C13×Q16 | — | 2 | 2 | no | — |
| 261 | C13×SD16 | — | 2 | 2 | no | — |
| 262 | C13×SD16 | — | 2 | 2 | no | — |
| 263 | C13×D8 | — | 2 | 2 | no | — |
| 264 | C13×M16 | — | 2 | 1 | no | — |
| 265 | C13×M16 | — | 2 | 1 | no | — |
| 266 | C13×M16 | — | 2 | 1 | no | — |
| 267 | C13×M16 | — | 2 | 1 | no | — |
| 268 | C13×M16 | — | 4 | 2 | no | — |
| 269 | C13×M16 | C2×D4 | 1 | 2 | yes | — |
| 270 | C13×M16 | C2×D4 | 1 | 2 | yes | — |
| 271 | C2×C8×C13 | — | 2 | 1 | no | — |
| 272 | C2×C8×C13 | — | 2 | 1 | no | — |
| 273 | C2×C8×C13 | — | 2 | 1 | no | — |
| 274 | C2×C8×C13 | — | 2 | 1 | no | — |
| 275 | C2×C8×C13 | — | 2 | 1 | no | — |
| 276 | C2×C8×C13 | — | 2 | 1 | no | — |
| 277 | C2×C8×C13 | — | 4 | 2 | no | — |
| 278 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 279 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 280 | C42×C13 | — | 2 | 1 | no | — |
| 281 | #6107 | — | 2 | 4 | no | — |
| 282 | #6107 | — | 2 | 2 | no | — |
| 283 | #6106 | — | 2 | 2 | no | — |
| 284 | #6106 | — | 4 | 2 | no | — |
| 285 | #6106 | — | 4 | 2 | no | — |
| 286 | #6105 | — | 2 | 4 | no | — |
| 287 | #6105 | — | 2 | 2 | no | — |
| 288 | #6104 | — | 2 | 2 | no | — |
| 289 | #6104 | — | 4 | 2 | no | — |
| 290 | #6104 | — | 4 | 2 | no | — |
| 291 | #6103 | — | 4 | 2 | no | — |
| 292 | #6099 | — | 2 | 1 | no | — |
| 293 | #6099 | — | 2 | 1 | no | — |
| 294 | #6099 | — | 2 | 1 | no | — |
| 295 | #6099 | — | 2 | 1 | no | — |
| 296 | #6099 | — | 2 | 1 | no | — |
| 297 | #6099 | — | 2 | 1 | no | — |
| 298 | #6099 | — | 4 | 2 | no | — |
| 299 | #6099 | C2×D4 | 1 | 2 | yes | — |
| 300 | #6099 | C2×D4 | 1 | 2 | yes | — |
| 301 | C2×#1055 | — | 2 | 1 | no | — |
| 302 | C2×#1055 | — | 2 | 1 | no | — |
| 303 | C2×#1055 | — | 2 | 1 | no | — |
| 304 | C2×#1055 | — | 2 | 1 | no | — |
| 305 | C2×#1055 | — | 4 | 2 | no | — |
| 306 | Dic52 | — | 2 | 4 | no | — |
| 307 | D104 | — | 4 | 2 | no | — |
| 308 | #6095 | — | 2 | 4 | no | — |
| 309 | #6095 | — | 4 | 2 | no | — |
| 310 | #6095 | — | 4 | 4 | no | — |
| 311 | #6094 | — | 2 | 4 | no | — |
| 312 | C8×D13 | — | 2 | 4 | no | — |
| 313 | #3586 | — | 13 | 1 | no | — |
| 314 | #3068 | — | 13 | 1 | no | — |
| 315 | #3068 | — | 13 | 1 | no | — |
| 316 | #3021 | — | 13 | 1 | no | — |
| 317 | #3010 | — | 13 | 1 | no | — |
| 318 | #2889 | — | 13 | 1 | no | — |
| 319 | #2049 | — | 13 | 1 | no | — |
| 320 | #2049 | — | 13 | 1 | no | — |
| 321 | #2019 | — | 13 | 1 | no | — |
| 322 | #2019 | — | 13 | 1 | no | — |
| 323 | #1914 | — | 13 | 1 | no | — |
| 324 | #1881 | — | 13 | 1 | no | — |
| 325 | #1881 | D13 | 1 | 1 | yes | characteristic, complemented |
| 326 | #1858 | — | 13 | 1 | no | — |
| 327 | #1791 | — | 13 | 1 | no | — |
| 328 | C23×C13 | — | 2 | 1 | no | — |
| 329 | C23×C13 | — | 2 | 1 | no | — |
| 330 | C23×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 331 | C22×D13 | — | 2 | 1 | no | — |
| 332 | C22×D13 | — | 4 | 2 | no | — |
| 333 | C22×D13 | — | 4 | 1 | no | — |
| 334 | C22×D13 | — | 4 | 1 | no | — |
| 335 | C22×D13 | — | 4 | 1 | no | — |
| 336 | C22×D13 | — | 16 | 1 | no | — |
| 337 | C22×D13 | #121 | 1 | 2 | yes | — |
| 338 | Q8×C13 | — | 2 | 1 | no | — |
| 339 | Q8×C13 | — | 2 | 1 | no | — |
| 340 | Q8×C13 | — | 2 | 1 | no | — |
| 341 | Q8×C13 | #120 | 1 | 2 | yes | — |
| 342 | D4×C13 | — | 2 | 2 | no | — |
| 343 | D4×C13 | — | 2 | 2 | no | — |
| 344 | D4×C13 | — | 2 | 1 | no | — |
| 345 | D4×C13 | — | 2 | 1 | no | — |
| 346 | D4×C13 | — | 2 | 1 | no | — |
| 347 | D4×C13 | — | 4 | 1 | no | — |
| 348 | D4×C13 | — | 4 | 1 | no | — |
| 349 | D4×C13 | #120 | 1 | 2 | yes | — |
| 350 | C2×C4×C13 | — | 2 | 1 | no | — |
| 351 | C2×C4×C13 | — | 2 | 2 | no | — |
| 352 | C2×C4×C13 | — | 2 | 2 | no | — |
| 353 | C2×C4×C13 | — | 2 | 1 | no | — |
| 354 | C2×C4×C13 | — | 4 | 1 | no | — |
| 355 | C2×C4×C13 | — | 4 | 1 | no | — |
| 356 | C2×C4×C13 | — | 4 | 1 | no | — |
| 357 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 358 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 359 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 360 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 361 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 362 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 363 | C22⋊D13 | — | 2 | 2 | no | — |
| 364 | C22⋊D13 | — | 2 | 2 | no | — |
| 365 | C22⋊D13 | — | 4 | 2 | no | — |
| 366 | C22⋊D13 | — | 4 | 4 | no | — |
| 367 | C22⋊D13 | — | 4 | 2 | no | — |
| 368 | C22⋊D13 | — | 4 | 1 | no | — |
| 369 | C22⋊D13 | — | 4 | 1 | no | — |
| 370 | C2×Dic13 | — | 2 | 2 | no | — |
| 371 | C2×Dic13 | — | 2 | 1 | no | — |
| 372 | C2×Dic13 | — | 4 | 4 | no | — |
| 373 | C2×Dic13 | — | 4 | 2 | no | — |
| 374 | C2×Dic13 | — | 4 | 1 | no | — |
| 375 | C2×Dic13 | — | 4 | 1 | no | — |
| 376 | C2×Dic13 | #121 | 1 | 2 | yes | — |
| 377 | D52 | — | 2 | 1 | no | — |
| 378 | D52 | — | 2 | 1 | no | — |
| 379 | D52 | — | 2 | 1 | no | — |
| 380 | D52 | — | 2 | 1 | no | — |
| 381 | D52 | — | 4 | 2 | no | — |
| 382 | D52 | — | 4 | 1 | no | — |
| 383 | D52 | — | 4 | 1 | no | — |
| 384 | D52 | — | 4 | 1 | no | — |
| 385 | D52 | — | 4 | 1 | no | — |
| 386 | D52 | — | 16 | 2 | no | — |
| 387 | C4×D13 | — | 2 | 2 | no | — |
| 388 | C4×D13 | — | 2 | 2 | no | — |
| 389 | C4×D13 | — | 4 | 2 | no | — |
| 390 | C4×D13 | — | 4 | 4 | no | — |
| 391 | C4×D13 | — | 4 | 2 | no | — |
| 392 | C4×D13 | — | 4 | 1 | no | — |
| 393 | C4×D13 | — | 4 | 1 | no | — |
| 394 | Dic26 | — | 2 | 1 | no | — |
| 395 | Dic26 | — | 2 | 1 | no | — |
| 396 | Dic26 | — | 2 | 2 | no | — |
| 397 | Dic26 | — | 2 | 1 | no | — |
| 398 | Dic26 | — | 2 | 2 | no | — |
| 399 | Dic26 | — | 2 | 1 | no | — |
| 400 | Dic26 | — | 4 | 4 | no | — |
| 401 | Dic26 | — | 4 | 2 | no | — |
| 402 | Dic26 | — | 4 | 1 | no | — |
| 403 | Dic26 | — | 4 | 1 | no | — |
| 404 | C8×C13 | — | 2 | 2 | no | — |
| 405 | C8×C13 | — | 2 | 2 | no | — |
| 406 | C8×C13 | — | 4 | 1 | no | — |
| 407 | C8×C13 | — | 4 | 1 | no | — |
| 408 | #1055 | — | 2 | 2 | no | — |
| 409 | #1055 | — | 2 | 2 | no | — |
| 410 | #1055 | — | 4 | 1 | no | — |
| 411 | #1055 | — | 4 | 1 | no | — |
| 412 | #585 | — | 13 | 1 | no | — |
| 413 | C2×2−1+4 | — | 13 | 1 | no | — |
| 414 | #578 | — | 26 | 2 | no | — |
| 415 | #578 | — | 26 | 2 | no | — |
| 416 | #577 | — | 26 | 2 | no | — |
| 417 | #577 | — | 26 | 2 | no | — |
| 418 | #575 | — | 13 | 1 | no | — |
| 419 | #575 | — | 26 | 2 | no | — |
| 420 | #575 | C2×D13 | 1 | 1 | yes | characteristic |
| 421 | C2×#137 | — | 13 | 1 | no | — |
| 422 | C2×#137 | — | 13 | 1 | no | — |
| 423 | C2×#137 | — | 26 | 2 | no | — |
| 424 | C2×AGL(1,ℤ/8) | — | 13 | 1 | no | — |
| 425 | C2×AGL(1,ℤ/8) | — | 13 | 1 | no | — |
| 426 | C2×AGL(1,ℤ/8) | — | 13 | 1 | no | — |
| 427 | C22×SD16 | — | 13 | 1 | no | — |
| 428 | #568 | — | 13 | 1 | no | — |
| 429 | #568 | — | 13 | 1 | no | — |
| 430 | #568 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 431 | #535 | — | 13 | 1 | no | — |
| 432 | #472 | — | 26 | 2 | no | — |
| 433 | #472 | — | 26 | 2 | no | — |
| 434 | #471 | — | 26 | 2 | no | — |
| 435 | #471 | — | 26 | 2 | no | — |
| 436 | #454 | — | 26 | 2 | no | — |
| 437 | #453 | — | 26 | 2 | no | — |
| 438 | #449 | — | 26 | 2 | no | — |
| 439 | #448 | — | 26 | 2 | no | — |
| 440 | #430 | — | 13 | 1 | no | — |
| 441 | #430 | — | 13 | 1 | no | — |
| 442 | #421 | — | 13 | 1 | no | — |
| 443 | #421 | C2×D13 | 1 | 1 | yes | characteristic |
| 444 | #419 | — | 13 | 1 | no | — |
| 445 | #416 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 446 | #413 | — | 13 | 1 | no | — |
| 447 | #413 | — | 13 | 1 | no | — |
| 448 | #413 | — | 13 | 1 | no | — |
| 449 | #413 | — | 13 | 1 | no | — |
| 450 | #413 | — | 26 | 2 | no | — |
| 451 | C2×#101 | — | 13 | 1 | no | — |
| 452 | C2×#101 | — | 13 | 1 | no | — |
| 453 | C2×#101 | — | 26 | 2 | no | — |
| 454 | C2×#100 | — | 13 | 1 | no | — |
| 455 | C2×#100 | — | 13 | 1 | no | — |
| 456 | #408 | — | 13 | 1 | no | — |
| 457 | #408 | — | 13 | 1 | no | — |
| 458 | #408 | C2×D13 | 1 | 1 | yes | characteristic |
| 459 | #344 | — | 13 | 1 | no | — |
| 460 | #344 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 461 | #341 | — | 13 | 1 | no | — |
| 462 | #341 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 463 | C22×C13 | — | 2 | 2 | no | — |
| 464 | C22×C13 | — | 4 | 1 | no | — |
| 465 | C22×C13 | — | 4 | 1 | no | — |
| 466 | C22×C13 | — | 8 | 1 | no | — |
| 467 | C22×C13 | — | 8 | 1 | no | — |
| 468 | C22×C13 | C2×#121 | 1 | 1 | yes | characteristic |
| 469 | C22×C13 | #546 | 1 | 1 | yes | characteristic |
| 470 | C22×C13 | #546 | 1 | 1 | yes | characteristic |
| 471 | C2×D13 | — | 2 | 2 | no | — |
| 472 | C2×D13 | — | 4 | 2 | no | — |
| 473 | C2×D13 | — | 4 | 1 | no | — |
| 474 | C2×D13 | — | 8 | 1 | no | — |
| 475 | C2×D13 | — | 8 | 2 | no | — |
| 476 | C2×D13 | — | 8 | 1 | no | — |
| 477 | C2×D13 | — | 16 | 2 | no | — |
| 478 | C2×D13 | — | 16 | 1 | no | — |
| 479 | C2×D13 | — | 16 | 1 | no | — |
| 480 | C4×C13 | — | 2 | 2 | no | — |
| 481 | C4×C13 | — | 4 | 1 | no | — |
| 482 | C4×C13 | — | 8 | 1 | no | — |
| 483 | C4×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 484 | C4×C13 | #534 | 1 | 1 | yes | characteristic |
| 485 | C4×C13 | D42 | 1 | 1 | yes | characteristic |
| 486 | C4×C13 | D42 | 1 | 1 | yes | characteristic |
| 487 | Dic13 | — | 2 | 2 | no | — |
| 488 | Dic13 | — | 4 | 2 | no | — |
| 489 | Dic13 | — | 4 | 1 | no | — |
| 490 | 2−1+4 | — | 26 | 1 | no | — |
| 491 | 2−1+4 | — | 26 | 1 | no | — |
| 492 | 2−1+4 | — | 26 | 2 | no | — |
| 493 | 2−1+4 | — | 26 | 2 | no | — |
| 494 | 2−1+4 | — | 26 | 1 | no | — |
| 495 | 2−1+4 | — | 52 | 1 | no | — |
| 496 | 2−1+4 | — | 52 | 1 | no | — |
| 497 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 498 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 499 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 500 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 501 | C2×#41 | — | 13 | 1 | no | — |
| 502 | C2×#41 | — | 13 | 2 | no | — |
| 503 | C2×#41 | — | 13 | 1 | no | — |
| 504 | C2×#41 | — | 26 | 1 | no | — |
| 505 | C2×#41 | — | 26 | 2 | no | — |
| 506 | C2×#41 | — | 26 | 2 | no | — |
| 507 | C2×#41 | — | 52 | 1 | no | — |
| 508 | C2×#41 | — | 52 | 1 | no | — |
| 509 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 510 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 511 | C22×Q8 | — | 13 | 2 | no | — |
| 512 | C22×Q8 | — | 13 | 1 | no | — |
| 513 | C22×Q8 | — | 26 | 1 | no | — |
| 514 | C22×D4 | — | 13 | 1 | no | — |
| 515 | #137 | — | 2 | 1 | no | — |
| 516 | #137 | — | 13 | 2 | no | — |
| 517 | #137 | — | 26 | 2 | no | — |
| 518 | #137 | — | 26 | 2 | no | — |
| 519 | #137 | — | 26 | 4 | no | — |
| 520 | #137 | — | 26 | 4 | no | — |
| 521 | #137 | — | 26 | 4 | no | — |
| 522 | #137 | — | 26 | 2 | no | — |
| 523 | #137 | — | 26 | 1 | no | — |
| 524 | #137 | — | 26 | 2 | no | — |
| 525 | #137 | D52 | 1 | 2 | yes | complemented |
| 526 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 527 | AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 528 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 529 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 530 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 531 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 532 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 533 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 534 | AGL(1,ℤ/8) | — | 52 | 1 | no | — |
| 535 | AGL(1,ℤ/8) | — | 52 | 1 | no | — |
| 536 | AGL(1,ℤ/8) | D52 | 1 | 2 | yes | complemented |
| 537 | #135 | — | 2 | 2 | no | — |
| 538 | #135 | — | 26 | 4 | no | — |
| 539 | #135 | — | 26 | 4 | no | — |
| 540 | #135 | — | 26 | 2 | no | — |
| 541 | C2×Q16 | — | 26 | 1 | no | — |
| 542 | C2×Q16 | — | 26 | 4 | no | — |
| 543 | C2×Q16 | — | 26 | 1 | no | — |
| 544 | C2×SD16 | — | 26 | 1 | no | — |
| 545 | C2×SD16 | — | 26 | 2 | no | — |
| 546 | C2×SD16 | — | 26 | 1 | no | — |
| 547 | C2×SD16 | — | 26 | 4 | no | — |
| 548 | C2×SD16 | — | 26 | 1 | no | — |
| 549 | C2×SD16 | — | 26 | 1 | no | — |
| 550 | C2×SD16 | — | 26 | 1 | no | — |
| 551 | C2×SD16 | — | 52 | 1 | no | — |
| 552 | C2×SD16 | — | 52 | 1 | no | — |
| 553 | C2×D8 | — | 26 | 1 | no | — |
| 554 | C2×D8 | — | 26 | 1 | no | — |
| 555 | C2×D8 | — | 26 | 1 | no | — |
| 556 | #131 | — | 2 | 2 | no | — |
| 557 | #131 | — | 4 | 1 | no | — |
| 558 | #131 | — | 26 | 2 | no | — |
| 559 | #131 | — | 26 | 2 | no | — |
| 560 | #131 | — | 26 | 2 | no | — |
| 561 | #131 | — | 52 | 1 | no | — |
| 562 | C2×M16 | — | 2 | 2 | no | — |
| 563 | C2×M16 | — | 13 | 1 | no | — |
| 564 | C2×M16 | — | 13 | 1 | no | — |
| 565 | C2×M16 | — | 13 | 1 | no | — |
| 566 | C2×M16 | — | 13 | 1 | no | — |
| 567 | C2×M16 | — | 26 | 2 | no | — |
| 568 | C2×M16 | — | 26 | 2 | no | — |
| 569 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 570 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 571 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 572 | C22×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 573 | #127 | — | 26 | 1 | no | — |
| 574 | #124 | — | 26 | 1 | no | — |
| 575 | #121 | — | 26 | 2 | no | — |
| 576 | #120 | — | 26 | 2 | no | — |
| 577 | #117 | C22×D13 | 1 | 1 | yes | characteristic |
| 578 | #108 | — | 26 | 2 | no | — |
| 579 | #108 | — | 26 | 2 | no | — |
| 580 | #104 | — | 2 | 2 | no | — |
| 581 | #104 | — | 26 | 2 | no | — |
| 582 | #103 | — | 2 | 1 | no | — |
| 583 | #103 | — | 26 | 2 | no | — |
| 584 | #102 | — | 2 | 1 | no | — |
| 585 | #101 | — | 13 | 2 | no | — |
| 586 | #101 | — | 26 | 2 | no | — |
| 587 | #101 | — | 26 | 1 | no | — |
| 588 | #101 | — | 26 | 1 | no | — |
| 589 | #101 | — | 26 | 1 | no | — |
| 590 | #101 | — | 26 | 2 | no | — |
| 591 | #100 | — | 13 | 2 | no | — |
| 592 | #100 | — | 26 | 2 | no | — |
| 593 | #100 | — | 26 | 1 | no | — |
| 594 | #100 | — | 26 | 1 | no | — |
| 595 | #100 | — | 26 | 1 | no | — |
| 596 | #100 | — | 26 | 2 | no | — |
| 597 | C22⋊C8 | — | 4 | 1 | no | — |
| 598 | C22⋊C8 | — | 26 | 2 | no | — |
| 599 | C22⋊C8 | — | 52 | 1 | no | — |
| 600 | C2×C13 | — | 2 | 1 | no | — |
| 601 | C2×C13 | — | 2 | 1 | no | — |
| 602 | C2×C13 | — | 2 | 1 | no | — |
| 603 | C2×C13 | — | 4 | 2 | no | — |
| 604 | C2×C13 | — | 8 | 1 | no | — |
| 605 | C2×C13 | #2410 | 1 | 1 | yes | characteristic |
| 606 | D13 | — | 4 | 2 | no | — |
| 607 | D13 | — | 8 | 1 | no | — |
| 608 | D13 | — | 16 | 1 | no | — |
| 609 | C24 | — | 26 | 1 | no | — |
| 610 | #41 | — | 2 | 1 | no | — |
| 611 | #41 | — | 2 | 1 | no | — |
| 612 | #41 | — | 2 | 1 | no | — |
| 613 | #41 | — | 2 | 1 | no | — |
| 614 | #41 | — | 2 | 1 | no | — |
| 615 | #41 | — | 2 | 1 | no | — |
| 616 | #41 | — | 26 | 1 | no | — |
| 617 | #41 | — | 26 | 1 | no | — |
| 618 | #41 | — | 26 | 1 | no | — |
| 619 | #41 | — | 26 | 1 | no | — |
| 620 | #41 | — | 26 | 2 | no | — |
| 621 | #41 | — | 26 | 2 | no | — |
| 622 | #41 | — | 26 | 4 | no | — |
| 623 | #41 | — | 26 | 1 | no | — |
| 624 | #41 | — | 26 | 1 | no | — |
| 625 | #41 | — | 26 | 1 | no | — |
| 626 | #41 | — | 26 | 1 | no | — |
| 627 | #41 | — | 52 | 2 | no | — |
| 628 | #41 | — | 52 | 2 | no | — |
| 629 | #41 | — | 52 | 2 | no | — |
| 630 | #41 | — | 52 | 2 | no | — |
| 631 | #41 | — | 52 | 1 | no | — |
| 632 | #41 | — | 52 | 1 | no | — |
| 633 | #41 | — | 52 | 2 | no | — |
| 634 | #41 | — | 52 | 2 | no | — |
| 635 | #41 | — | 52 | 2 | no | — |
| 636 | #41 | — | 52 | 4 | no | — |
| 637 | #41 | — | 52 | 4 | no | — |
| 638 | #41 | — | 52 | 1 | no | — |
| 639 | #41 | — | 52 | 1 | no | — |
| 640 | #41 | C2×D52 | 1 | 2 | yes | — |
| 641 | #41 | D4×D13 | 1 | 2 | yes | — |
| 642 | C2×Q8 | — | 13 | 1 | no | — |
| 643 | C2×Q8 | — | 13 | 1 | no | — |
| 644 | C2×Q8 | — | 13 | 2 | no | — |
| 645 | C2×Q8 | — | 26 | 2 | no | — |
| 646 | C2×Q8 | — | 26 | 1 | no | — |
| 647 | C2×Q8 | — | 26 | 2 | no | — |
| 648 | C2×Q8 | — | 26 | 4 | no | — |
| 649 | C2×Q8 | — | 26 | 1 | no | — |
| 650 | C2×Q8 | — | 26 | 1 | no | — |
| 651 | C2×Q8 | — | 26 | 1 | no | — |
| 652 | C2×Q8 | — | 26 | 1 | no | — |
| 653 | C2×Q8 | — | 52 | 2 | no | — |
| 654 | C2×Q8 | — | 52 | 2 | no | — |
| 655 | C2×Q8 | — | 52 | 1 | no | — |
| 656 | C2×Q8 | — | 52 | 2 | no | — |
| 657 | C2×Q8 | — | 52 | 1 | no | — |
| 658 | C2×Q8 | C2×D52 | 1 | 1 | yes | characteristic |
| 659 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 660 | C2×D4 | — | 2 | 1 | no | — |
| 661 | C2×D4 | — | 2 | 1 | no | — |
| 662 | C2×D4 | — | 13 | 2 | no | — |
| 663 | C2×D4 | — | 13 | 1 | no | — |
| 664 | C2×D4 | — | 13 | 1 | no | — |
| 665 | C2×D4 | — | 26 | 2 | no | — |
| 666 | C2×D4 | — | 26 | 2 | no | — |
| 667 | C2×D4 | — | 26 | 1 | no | — |
| 668 | C2×D4 | — | 26 | 1 | no | — |
| 669 | C2×D4 | — | 26 | 1 | no | — |
| 670 | C2×D4 | — | 26 | 1 | no | — |
| 671 | C2×D4 | — | 26 | 1 | no | — |
| 672 | C2×D4 | — | 26 | 1 | no | — |
| 673 | C2×D4 | — | 26 | 1 | no | — |
| 674 | C2×D4 | — | 52 | 1 | no | — |
| 675 | C2×D4 | — | 52 | 2 | no | — |
| 676 | C2×D4 | — | 52 | 1 | no | — |
| 677 | C2×D4 | — | 52 | 2 | no | — |
| 678 | C2×D4 | — | 52 | 2 | no | — |
| 679 | C2×D4 | — | 52 | 2 | no | — |
| 680 | C2×D4 | C2×D52 | 1 | 1 | yes | characteristic |
| 681 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 682 | C22×C4 | — | 2 | 1 | no | — |
| 683 | C22×C4 | — | 2 | 1 | no | — |
| 684 | C22×C4 | — | 13 | 2 | no | — |
| 685 | C22×C4 | — | 26 | 2 | no | — |
| 686 | C22×C4 | — | 26 | 2 | no | — |
| 687 | C22×C4 | — | 26 | 1 | no | — |
| 688 | C22×C4 | — | 26 | 1 | no | — |
| 689 | C22×C4 | — | 52 | 2 | no | — |
| 690 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 691 | Q16 | — | 2 | 2 | no | — |
| 692 | Q16 | — | 26 | 4 | no | — |
| 693 | Q16 | — | 26 | 4 | no | — |
| 694 | Q16 | — | 26 | 2 | no | — |
| 695 | SD16 | — | 2 | 2 | no | — |
| 696 | SD16 | — | 2 | 2 | no | — |
| 697 | SD16 | — | 26 | 4 | no | — |
| 698 | SD16 | — | 26 | 4 | no | — |
| 699 | SD16 | — | 26 | 2 | no | — |
| 700 | SD16 | — | 26 | 2 | no | — |
| 701 | SD16 | — | 52 | 2 | no | — |
| 702 | SD16 | — | 52 | 4 | no | — |
| 703 | SD16 | — | 52 | 2 | no | — |
| 704 | SD16 | — | 52 | 2 | no | — |
| 705 | D8 | — | 2 | 2 | no | — |
| 706 | D8 | — | 26 | 2 | no | — |
| 707 | D8 | — | 52 | 2 | no | — |
| 708 | D8 | — | 52 | 2 | no | — |
| 709 | D8 | — | 52 | 2 | no | — |
| 710 | M16 | — | 2 | 1 | no | — |
| 711 | M16 | — | 2 | 1 | no | — |
| 712 | M16 | — | 2 | 1 | no | — |
| 713 | M16 | — | 2 | 1 | no | — |
| 714 | M16 | — | 4 | 2 | no | — |
| 715 | M16 | — | 13 | 2 | no | — |
| 716 | M16 | — | 13 | 2 | no | — |
| 717 | M16 | — | 26 | 4 | no | — |
| 718 | M16 | — | 26 | 1 | no | — |
| 719 | M16 | — | 26 | 1 | no | — |
| 720 | M16 | — | 26 | 1 | no | — |
| 721 | M16 | — | 26 | 1 | no | — |
| 722 | M16 | — | 26 | 1 | no | — |
| 723 | M16 | — | 26 | 1 | no | — |
| 724 | M16 | — | 52 | 2 | no | — |
| 725 | M16 | C2×D52 | 1 | 2 | yes | — |
| 726 | M16 | D4×D13 | 1 | 2 | yes | — |
| 727 | C2×C8 | — | 2 | 1 | no | — |
| 728 | C2×C8 | — | 2 | 1 | no | — |
| 729 | C2×C8 | — | 2 | 1 | no | — |
| 730 | C2×C8 | — | 2 | 1 | no | — |
| 731 | C2×C8 | — | 2 | 1 | no | — |
| 732 | C2×C8 | — | 2 | 1 | no | — |
| 733 | C2×C8 | — | 4 | 2 | no | — |
| 734 | C2×C8 | — | 26 | 4 | no | — |
| 735 | C2×C8 | — | 26 | 1 | no | — |
| 736 | C2×C8 | — | 26 | 1 | no | — |
| 737 | C2×C8 | — | 26 | 1 | no | — |
| 738 | C2×C8 | — | 26 | 1 | no | — |
| 739 | C2×C8 | — | 52 | 2 | no | — |
| 740 | C4⋊C4 | — | 2 | 1 | no | — |
| 741 | C22⋊C4 | — | 2 | 1 | no | — |
| 742 | C22⋊C4 | — | 52 | 2 | no | — |
| 743 | C42 | — | 2 | 1 | no | — |
| 744 | C13 | #24422 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 745 | C23 | — | 2 | 1 | no | — |
| 746 | C23 | — | 2 | 1 | no | — |
| 747 | C23 | — | 13 | 2 | no | — |
| 748 | C23 | — | 26 | 1 | no | — |
| 749 | C23 | — | 52 | 2 | no | — |
| 750 | C23 | — | 52 | 1 | no | — |
| 751 | C23 | — | 52 | 1 | no | — |
| 752 | C23 | — | 52 | 1 | no | — |
| 753 | C23 | — | 208 | 1 | no | — |
| 754 | C23 | #41×D13 | 1 | 1 | yes | characteristic |
| 755 | Q8 | — | 2 | 1 | no | — |
| 756 | Q8 | — | 2 | 1 | no | — |
| 757 | Q8 | — | 2 | 1 | no | — |
| 758 | Q8 | — | 26 | 1 | no | — |
| 759 | Q8 | — | 26 | 1 | no | — |
| 760 | Q8 | — | 26 | 2 | no | — |
| 761 | Q8 | — | 26 | 1 | no | — |
| 762 | Q8 | — | 26 | 1 | no | — |
| 763 | Q8 | — | 26 | 2 | no | — |
| 764 | Q8 | — | 52 | 4 | no | — |
| 765 | Q8 | — | 52 | 2 | no | — |
| 766 | Q8 | — | 52 | 1 | no | — |
| 767 | Q8 | — | 52 | 1 | no | — |
| 768 | Q8 | #88136 | 1 | 2 | yes | — |
| 769 | D4 | — | 2 | 2 | no | — |
| 770 | D4 | — | 2 | 2 | no | — |
| 771 | D4 | — | 2 | 1 | no | — |
| 772 | D4 | — | 2 | 1 | no | — |
| 773 | D4 | — | 2 | 1 | no | — |
| 774 | D4 | — | 4 | 1 | no | — |
| 775 | D4 | — | 4 | 1 | no | — |
| 776 | D4 | — | 26 | 2 | no | — |
| 777 | D4 | — | 26 | 2 | no | — |
| 778 | D4 | — | 26 | 1 | no | — |
| 779 | D4 | — | 26 | 1 | no | — |
| 780 | D4 | — | 26 | 1 | no | — |
| 781 | D4 | — | 26 | 1 | no | — |
| 782 | D4 | — | 52 | 2 | no | — |
| 783 | D4 | — | 52 | 2 | no | — |
| 784 | D4 | — | 52 | 4 | no | — |
| 785 | D4 | — | 52 | 2 | no | — |
| 786 | D4 | — | 52 | 1 | no | — |
| 787 | D4 | — | 52 | 1 | no | — |
| 788 | D4 | — | 52 | 1 | no | — |
| 789 | D4 | — | 52 | 1 | no | — |
| 790 | D4 | — | 52 | 1 | no | — |
| 791 | D4 | — | 52 | 1 | no | — |
| 792 | D4 | — | 208 | 2 | no | — |
| 793 | D4 | #88136 | 1 | 2 | yes | — |
| 794 | C2×C4 | — | 2 | 1 | no | — |
| 795 | C2×C4 | — | 2 | 2 | no | — |
| 796 | C2×C4 | — | 2 | 2 | no | — |
| 797 | C2×C4 | — | 2 | 1 | no | — |
| 798 | C2×C4 | — | 4 | 1 | no | — |
| 799 | C2×C4 | — | 4 | 1 | no | — |
| 800 | C2×C4 | — | 4 | 1 | no | — |
| 801 | C2×C4 | — | 13 | 2 | no | — |
| 802 | C2×C4 | — | 26 | 2 | no | — |
| 803 | C2×C4 | — | 26 | 2 | no | — |
| 804 | C2×C4 | — | 26 | 2 | no | — |
| 805 | C2×C4 | — | 26 | 1 | no | — |
| 806 | C2×C4 | — | 52 | 4 | no | — |
| 807 | C2×C4 | — | 52 | 2 | no | — |
| 808 | C2×C4 | — | 52 | 2 | no | — |
| 809 | C2×C4 | — | 52 | 4 | no | — |
| 810 | C2×C4 | — | 52 | 2 | no | — |
| 811 | C2×C4 | — | 52 | 1 | no | — |
| 812 | C2×C4 | — | 52 | 1 | no | — |
| 813 | C2×C4 | — | 52 | 1 | no | — |
| 814 | C2×C4 | — | 52 | 1 | no | — |
| 815 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 816 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 817 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 818 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 819 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 820 | C2×C4 | #88256 | 1 | 1 | yes | characteristic |
| 821 | C8 | — | 2 | 2 | no | — |
| 822 | C8 | — | 2 | 2 | no | — |
| 823 | C8 | — | 4 | 1 | no | — |
| 824 | C8 | — | 4 | 1 | no | — |
| 825 | C8 | — | 26 | 2 | no | — |
| 826 | C8 | — | 26 | 2 | no | — |
| 827 | C8 | — | 52 | 1 | no | — |
| 828 | C8 | — | 52 | 1 | no | — |
| 829 | C22 | — | 2 | 2 | no | — |
| 830 | C22 | — | 4 | 1 | no | — |
| 831 | C22 | — | 4 | 1 | no | — |
| 832 | C22 | — | 8 | 1 | no | — |
| 833 | C22 | — | 8 | 1 | no | — |
| 834 | C22 | — | 26 | 2 | no | — |
| 835 | C22 | — | 52 | 2 | no | — |
| 836 | C22 | — | 52 | 1 | no | — |
| 837 | C22 | — | 104 | 1 | no | — |
| 838 | C22 | — | 104 | 2 | no | — |
| 839 | C22 | — | 104 | 1 | no | — |
| 840 | C22 | — | 208 | 1 | no | — |
| 841 | C22 | — | 208 | 1 | no | — |
| 842 | C22 | — | 208 | 2 | no | — |
| 843 | C22 | #11719259 | 1 | 1 | yes | characteristic |
| 844 | C22 | D13×#121 | 1 | 1 | yes | characteristic |
| 845 | C22 | #11719359 | 1 | 1 | yes | characteristic |
| 846 | C4 | — | 2 | 2 | no | — |
| 847 | C4 | — | 4 | 1 | no | — |
| 848 | C4 | — | 8 | 1 | no | — |
| 849 | C4 | — | 26 | 2 | no | — |
| 850 | C4 | — | 52 | 1 | no | — |
| 851 | C4 | — | 52 | 2 | no | — |
| 852 | C4 | C2×#88136 | 1 | 1 | yes | characteristic |
| 853 | C4 | D4×D52 | 1 | 1 | yes | characteristic |
| 854 | C4 | #11719295 | 1 | 1 | yes | characteristic |
| 855 | C4 | #11719310 | 1 | 1 | yes | characteristic |
| 856 | C2 | — | 2 | 1 | no | — |
| 857 | C2 | — | 2 | 1 | no | — |
| 858 | C2 | — | 2 | 1 | no | — |
| 859 | C2 | — | 4 | 2 | no | — |
| 860 | C2 | — | 8 | 1 | no | — |
| 861 | C2 | — | 52 | 2 | no | — |
| 862 | C2 | — | 104 | 1 | no | — |
| 863 | C2 | — | 208 | 1 | no | — |
| 864 | C2 | #13118209 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129620 | C2 | semidirect |
| 2. #13124566 | C2 | semidirect |
| 3. #13124564 | C2 | semidirect |
| 4. #13124209 | C2 | semidirect |
| 5. #13124125 | C2 | semidirect |
| 6. #13123318 | C2 | semidirect |
| 7. #13116119 | C2 | semidirect |
| 8. #13116117 | C2 | semidirect |
| 9. #13115953 | C2 | semidirect |
| 10. #13115951 | C2 | semidirect |
| 11. #13115382 | C2 | semidirect |
| 12. #13115196 | C2 | semidirect |
| 13. #13115057 | C2 | semidirect |
| 14. #13114786 | C2 | semidirect |
| 15. C13×#1881 | C2 | semidirect |
| 19. C13×#568 | C22 | semidirect |
| 23. C2×#88203 | C22 | semidirect |
| 24. #11719524 | C22 | semidirect |
| 34. C22×#6095 | C22 | semidirect |
| 37. C13×#416 | C22 | semidirect |
| 45. C2×#88064 | C22 | semidirect |
| 46. C2×#88064 | C22 | semidirect |
| 51. C2×#88063 | C22 | semidirect |
| 52. C2×#88063 | C22 | semidirect |
| 53. #11718786 | C22 | semidirect |
| 54. #11718785 | C22 | semidirect |
| 58. #11718665 | C22 | semidirect |
| 63. C13×#344 | C22 | semidirect |
| 64. C13×#341 | C22 | semidirect |
| 65. #11718144 | C22 | semidirect |
| 66. #11718125 | C22 | semidirect |
| 93. C13×#137 | D4 | semidirect |
| 95. C13×AGL(1,ℤ/8) | D4 | semidirect |
| 107. #88205 | D4 | semidirect |
| 113. #88203 | D4 | semidirect |
| 325. #1881 | D13 | semidirect |
| 430. #568 | C2×D13 | semidirect |
| 445. #416 | C2×D13 | semidirect |
| 460. #344 | C2×D13 | semidirect |
| 462. #341 | C2×D13 | semidirect |
| 525. #137 | D52 | semidirect |
| 536. AGL(1,ℤ/8) | D52 | semidirect |
| 744. C13 | #24422 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129620 | 2 |
| #13124566 | 2 |
| #13124564 | 2 |
| #13124209 | 2 |
| #13124125 | 2 |
| #13123318 | 2 |
| #13116119 | 2 |
| #13116117 | 2 |
| #13115953 | 2 |
| #13115951 | 2 |
| #13115382 | 2 |
| #13115196 | 2 |
| #13115057 | 2 |
| #13114786 | 2 |
| C13×#1881 | 2 |
| #24422 | 13 |