Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2626 conjugacy classes of subgroups.
The subgroup lattice has 766 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129619 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #13129616 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13126620 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #13126614 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13126605 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #13125300 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13124570 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13124563 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13124187 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×#11718723 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13123742 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×C13×#455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C2×C13×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 14 | #11719648 | C22 | 1 | 2 | yes | complemented |
| 15 | C2×#88254 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C2×C13×#137 | C22 | 1 | 2 | yes | complemented |
| 17 | C2×C13×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #11719541 | — | 2 | 4 | no | — |
| 19 | #11719541 | C22 | 1 | 8 | yes | complemented |
| 20 | #11719540 | — | 2 | 4 | no | — |
| 21 | #11719540 | C22 | 1 | 8 | yes | complemented |
| 22 | #11719527 | — | 2 | 4 | no | — |
| 23 | #11719527 | C22 | 1 | 2 | yes | — |
| 24 | #11719527 | C22 | 1 | 2 | yes | — |
| 25 | #11719524 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×#88196 | C22 | 1 | 2 | yes | complemented |
| 27 | C2×#88186 | — | 2 | 4 | no | — |
| 28 | C2×#88186 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×#88186 | C22 | 1 | 2 | yes | complemented |
| 30 | #11719484 | C22 | 1 | 8 | yes | complemented |
| 31 | #11719483 | C22 | 1 | 8 | yes | complemented |
| 32 | #11719482 | — | 2 | 4 | no | — |
| 33 | D13×#137 | — | 2 | 4 | no | — |
| 34 | #11719471 | — | 2 | 4 | no | — |
| 35 | #11719467 | — | 2 | 4 | no | — |
| 36 | #11719453 | C22 | 1 | 2 | yes | complemented |
| 37 | #11719450 | C22 | 1 | 2 | yes | complemented |
| 38 | #11719182 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C13×#455 | C22 | 1 | 4 | yes | complemented |
| 40 | C13×#455 | C22 | 1 | 4 | yes | complemented |
| 41 | C2×C13×#104 | C22 | 1 | 2 | yes | complemented |
| 42 | C2×C13×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#88076 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #11718865 | C22 | 1 | 8 | yes | complemented |
| 45 | #11718864 | C22 | 1 | 8 | yes | complemented |
| 46 | #11718793 | C22 | 1 | 2 | yes | complemented |
| 47 | #11718785 | C22 | 1 | 2 | yes | complemented |
| 48 | #11718723 | C22 | 1 | 4 | yes | complemented |
| 49 | #11718723 | C22 | 1 | 4 | yes | complemented |
| 50 | #11718721 | C22 | 1 | 2 | yes | complemented |
| 51 | #11718720 | C22 | 1 | 4 | yes | complemented |
| 52 | #11718719 | C22 | 1 | 2 | yes | complemented |
| 53 | C2×#88045 | C22 | 1 | 2 | yes | complemented |
| 54 | C4×#6099 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #11718488 | C22 | 1 | 4 | yes | complemented |
| 56 | #11718487 | C22 | 1 | 4 | yes | complemented |
| 57 | #11718486 | C22 | 1 | 4 | yes | complemented |
| 58 | #11718485 | C22 | 1 | 8 | yes | complemented |
| 59 | #11718484 | C22 | 1 | 8 | yes | complemented |
| 60 | #11718483 | C22 | 1 | 4 | yes | complemented |
| 61 | #11718410 | C22 | 1 | 8 | yes | complemented |
| 62 | #11718409 | C22 | 1 | 8 | yes | complemented |
| 63 | C13×H(5,𝔽2) | — | 2 | 4 | no | — |
| 64 | C13×H(5,𝔽2) | — | 4 | 1 | no | — |
| 65 | C13×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 66 | C2×C13×#41 | — | 2 | 2 | no | — |
| 67 | C2×C13×#41 | C23 | 1 | 2 | yes | — |
| 68 | C22×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×D4×C13 | — | 2 | 2 | no | — |
| 70 | C22×D4×C13 | — | 4 | 1 | no | — |
| 71 | C22×D4×C13 | C23 | 1 | 1 | yes | characteristic |
| 72 | #88257 | — | 2 | 2 | no | — |
| 73 | #88257 | C23 | 1 | 4 | yes | — |
| 74 | #88256 | — | 2 | 2 | no | — |
| 75 | #88256 | C23 | 1 | 4 | yes | — |
| 76 | #41×D13 | — | 2 | 4 | no | — |
| 77 | #41×D13 | — | 4 | 2 | no | — |
| 78 | #88254 | — | 2 | 2 | no | — |
| 79 | #88254 | — | 2 | 4 | no | — |
| 80 | #88254 | — | 4 | 1 | no | — |
| 81 | #88254 | C23 | 1 | 4 | yes | complemented |
| 82 | C2×#6131 | — | 2 | 2 | no | — |
| 83 | C2×Q8×D13 | — | 2 | 2 | no | — |
| 84 | #88251 | — | 2 | 2 | no | — |
| 85 | #88251 | — | 4 | 2 | no | — |
| 86 | C2×#6127 | — | 2 | 4 | no | — |
| 87 | C2×#6127 | — | 4 | 1 | no | — |
| 88 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 89 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 90 | C13×#137 | — | 2 | 4 | no | — |
| 91 | C13×#137 | C23 | 1 | 8 | yes | — |
| 92 | C2×C13×Q16 | — | 2 | 2 | no | — |
| 93 | C2×C13×SD16 | — | 2 | 2 | no | — |
| 94 | C2×C13×M16 | C23 | 1 | 2 | yes | — |
| 95 | C13×#124 | — | 4 | 1 | no | — |
| 96 | C13×#124 | C23 | 1 | 2 | yes | — |
| 97 | C13×#124 | C23 | 1 | 2 | yes | — |
| 98 | C2×C13×C22⋊C4 | — | 4 | 1 | no | — |
| 99 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 100 | #88205 | — | 2 | 8 | no | — |
| 101 | #88205 | D4 | 1 | 4 | yes | complemented |
| 102 | #88205 | C23 | 1 | 4 | yes | — |
| 103 | #88204 | — | 2 | 4 | no | — |
| 104 | #88204 | — | 2 | 8 | no | — |
| 105 | #88204 | — | 2 | 8 | no | — |
| 106 | #88204 | C23 | 1 | 8 | yes | — |
| 107 | #88203 | — | 2 | 8 | no | — |
| 108 | #88203 | D4 | 1 | 4 | yes | complemented |
| 109 | #88203 | C23 | 1 | 4 | yes | — |
| 110 | #88202 | — | 2 | 4 | no | — |
| 111 | #88202 | C23 | 1 | 8 | yes | — |
| 112 | C2×#6107 | C23 | 1 | 4 | yes | complemented |
| 113 | #88196 | — | 2 | 2 | no | — |
| 114 | #88196 | — | 2 | 4 | no | — |
| 115 | #88196 | — | 2 | 4 | no | — |
| 116 | #88196 | D4 | 1 | 4 | yes | complemented |
| 117 | C2×#6106 | C23 | 1 | 4 | yes | complemented |
| 118 | C2×#6105 | — | 2 | 2 | no | — |
| 119 | C2×#6105 | — | 2 | 8 | no | — |
| 120 | C2×#6105 | C23 | 1 | 4 | yes | — |
| 121 | #88186 | — | 2 | 2 | no | — |
| 122 | #88186 | — | 2 | 4 | no | — |
| 123 | #88186 | — | 2 | 8 | no | — |
| 124 | #88186 | — | 2 | 8 | no | — |
| 125 | #88186 | — | 2 | 4 | no | — |
| 126 | #88186 | — | 2 | 4 | no | — |
| 127 | #88186 | D4 | 1 | 4 | yes | complemented |
| 128 | #88186 | C23 | 1 | 8 | yes | — |
| 129 | C2×#6104 | — | 2 | 2 | no | — |
| 130 | C2×#6104 | — | 2 | 8 | no | — |
| 131 | C2×#6104 | C23 | 1 | 4 | yes | — |
| 132 | #88184 | — | 4 | 1 | no | — |
| 133 | C2×#6099 | — | 2 | 4 | no | — |
| 134 | C2×#6099 | C23 | 1 | 2 | yes | — |
| 135 | C2×#6099 | C23 | 1 | 2 | yes | — |
| 136 | #88173 | — | 2 | 8 | no | — |
| 137 | #88172 | — | 2 | 8 | no | — |
| 138 | #88172 | — | 2 | 8 | no | — |
| 139 | Q16×D13 | — | 2 | 8 | no | — |
| 140 | #88170 | — | 2 | 8 | no | — |
| 141 | #88169 | — | 2 | 8 | no | — |
| 142 | #88168 | — | 2 | 8 | no | — |
| 143 | SD16×D13 | — | 2 | 8 | no | — |
| 144 | #88163 | — | 2 | 2 | no | — |
| 145 | #88163 | C23 | 1 | 4 | yes | complemented |
| 146 | #88162 | — | 2 | 2 | no | — |
| 147 | #88162 | C23 | 1 | 4 | yes | complemented |
| 148 | #88161 | C23 | 1 | 8 | yes | complemented |
| 149 | M16×D13 | — | 2 | 4 | no | — |
| 150 | #88158 | — | 2 | 4 | no | — |
| 151 | #88155 | — | 2 | 4 | no | — |
| 152 | #88129 | C23 | 1 | 2 | yes | complemented |
| 153 | #88128 | C23 | 1 | 1 | yes | characteristic, complemented |
| 154 | C4×D52 | — | 4 | 1 | no | — |
| 155 | #88123 | C23 | 1 | 1 | yes | characteristic, complemented |
| 156 | C13×#104 | C23 | 1 | 4 | yes | — |
| 157 | C13×#104 | C23 | 1 | 4 | yes | — |
| 158 | C13×#100 | C23 | 1 | 4 | yes | — |
| 159 | #88076 | C23 | 1 | 4 | yes | complemented |
| 160 | #88064 | C23 | 1 | 4 | yes | complemented |
| 161 | #88063 | C23 | 1 | 4 | yes | complemented |
| 162 | #88062 | C23 | 1 | 8 | yes | complemented |
| 163 | #88045 | C23 | 1 | 4 | yes | complemented |
| 164 | #88045 | C23 | 1 | 4 | yes | complemented |
| 165 | #88043 | C23 | 1 | 2 | yes | complemented |
| 166 | C4×#1055 | C23 | 1 | 2 | yes | complemented |
| 167 | #61109 | — | 13 | 1 | no | maximal, Sylow |
| 168 | C24×C13 | — | 2 | 1 | no | — |
| 169 | C24×C13 | — | 4 | 1 | no | — |
| 170 | C13×#41 | — | 2 | 2 | no | — |
| 171 | C13×#41 | — | 2 | 2 | no | — |
| 172 | C13×#41 | — | 2 | 8 | no | — |
| 173 | C13×#41 | — | 4 | 4 | no | — |
| 174 | C13×#41 | C2×D4 | 1 | 4 | yes | — |
| 175 | C13×#41 | C24 | 1 | 4 | yes | — |
| 176 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 177 | C2×Q8×C13 | — | 2 | 2 | no | — |
| 178 | C2×Q8×C13 | — | 2 | 2 | no | — |
| 179 | C2×Q8×C13 | C2×D4 | 1 | 2 | yes | — |
| 180 | C2×Q8×C13 | C24 | 1 | 2 | yes | — |
| 181 | C2×D4×C13 | — | 2 | 2 | no | — |
| 182 | C2×D4×C13 | — | 2 | 8 | no | — |
| 183 | C2×D4×C13 | — | 2 | 2 | no | — |
| 184 | C2×D4×C13 | — | 2 | 2 | no | — |
| 185 | C2×D4×C13 | — | 2 | 1 | no | — |
| 186 | C2×D4×C13 | — | 4 | 4 | no | — |
| 187 | C2×D4×C13 | — | 4 | 2 | no | — |
| 188 | C2×D4×C13 | — | 4 | 4 | no | — |
| 189 | C2×D4×C13 | — | 4 | 4 | no | — |
| 190 | C2×D4×C13 | C2×D4 | 1 | 2 | yes | — |
| 191 | C2×D4×C13 | C24 | 1 | 2 | yes | — |
| 192 | C22×C4×C13 | — | 2 | 2 | no | — |
| 193 | C22×C4×C13 | — | 2 | 1 | no | — |
| 194 | C22×C4×C13 | — | 2 | 1 | no | — |
| 195 | C22×C4×C13 | — | 4 | 1 | no | — |
| 196 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 197 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 198 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 199 | C2×C22⋊D13 | — | 4 | 4 | no | — |
| 200 | #6131 | — | 2 | 4 | no | — |
| 201 | #6131 | — | 2 | 8 | no | — |
| 202 | #6131 | — | 4 | 4 | no | — |
| 203 | #6131 | — | 4 | 2 | no | — |
| 204 | Q8×D13 | — | 2 | 4 | no | — |
| 205 | Q8×D13 | — | 2 | 8 | no | — |
| 206 | Q8×D13 | — | 4 | 4 | no | — |
| 207 | Q8×D13 | — | 4 | 2 | no | — |
| 208 | #6129 | — | 2 | 4 | no | — |
| 209 | #6129 | — | 4 | 2 | no | — |
| 210 | #6129 | — | 4 | 4 | no | — |
| 211 | #6129 | — | 4 | 4 | no | — |
| 212 | D4×D13 | — | 2 | 4 | no | — |
| 213 | D4×D13 | — | 4 | 2 | no | — |
| 214 | D4×D13 | — | 4 | 4 | no | — |
| 215 | D4×D13 | — | 4 | 4 | no | — |
| 216 | #6127 | — | 2 | 2 | no | — |
| 217 | #6127 | — | 2 | 2 | no | — |
| 218 | #6127 | — | 2 | 2 | no | — |
| 219 | #6127 | — | 2 | 2 | no | — |
| 220 | #6127 | — | 2 | 2 | no | — |
| 221 | #6127 | — | 2 | 2 | no | — |
| 222 | #6127 | — | 2 | 4 | no | — |
| 223 | #6127 | — | 2 | 4 | no | — |
| 224 | #6127 | — | 4 | 4 | no | — |
| 225 | #6127 | — | 4 | 4 | no | — |
| 226 | #6127 | — | 4 | 4 | no | — |
| 227 | #6127 | — | 4 | 4 | no | — |
| 228 | #6127 | C2×D4 | 1 | 4 | yes | — |
| 229 | #6127 | C24 | 1 | 4 | yes | — |
| 230 | C2×D52 | — | 2 | 4 | no | — |
| 231 | C2×D52 | — | 4 | 1 | no | — |
| 232 | C2×D52 | — | 4 | 1 | no | — |
| 233 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 234 | C2×D52 | C24 | 1 | 2 | yes | — |
| 235 | C2×C4×D13 | — | 2 | 2 | no | — |
| 236 | C2×C4×D13 | — | 2 | 2 | no | — |
| 237 | C2×C4×D13 | — | 4 | 4 | no | — |
| 238 | C2×C4×D13 | — | 4 | 2 | no | — |
| 239 | C2×Dic26 | — | 2 | 4 | no | — |
| 240 | C2×Dic26 | — | 4 | 1 | no | — |
| 241 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 242 | C2×Dic26 | C24 | 1 | 2 | yes | — |
| 243 | C13×Q16 | — | 2 | 8 | no | — |
| 244 | C13×SD16 | — | 2 | 8 | no | — |
| 245 | C13×M16 | — | 2 | 2 | no | — |
| 246 | C13×M16 | C24 | 1 | 4 | yes | — |
| 247 | C2×C8×C13 | — | 2 | 2 | no | — |
| 248 | C13×C22⋊C4 | — | 4 | 2 | no | — |
| 249 | C13×C22⋊C4 | — | 4 | 2 | no | — |
| 250 | C42×C13 | — | 2 | 1 | no | — |
| 251 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 252 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 253 | #6107 | — | 2 | 4 | no | — |
| 254 | #6107 | — | 2 | 8 | no | — |
| 255 | #6107 | C2×D4 | 1 | 8 | yes | — |
| 256 | #6106 | — | 2 | 4 | no | — |
| 257 | #6106 | — | 2 | 8 | no | — |
| 258 | #6106 | C2×D4 | 1 | 8 | yes | — |
| 259 | #6105 | — | 2 | 4 | no | — |
| 260 | #6105 | — | 2 | 8 | no | — |
| 261 | #6105 | — | 2 | 8 | no | — |
| 262 | #6105 | C2×D4 | 1 | 8 | yes | — |
| 263 | #6104 | — | 2 | 4 | no | — |
| 264 | #6104 | — | 2 | 8 | no | — |
| 265 | #6104 | — | 2 | 8 | no | — |
| 266 | #6104 | C2×D4 | 1 | 8 | yes | — |
| 267 | #6103 | — | 4 | 2 | no | — |
| 268 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 269 | #6099 | — | 2 | 2 | no | — |
| 270 | #6099 | — | 2 | 8 | no | — |
| 271 | #6099 | C2×D4 | 1 | 4 | yes | — |
| 272 | #6099 | C2×D4 | 1 | 4 | yes | — |
| 273 | #6099 | C24 | 1 | 4 | yes | — |
| 274 | C2×#1055 | — | 2 | 2 | no | — |
| 275 | C2×#1055 | — | 2 | 8 | no | — |
| 276 | C2×#1055 | C24 | 1 | 4 | yes | — |
| 277 | Dic52 | — | 2 | 4 | no | — |
| 278 | D104 | — | 2 | 4 | no | — |
| 279 | #6095 | — | 2 | 4 | no | — |
| 280 | #6095 | — | 2 | 4 | no | — |
| 281 | #6094 | — | 2 | 8 | no | — |
| 282 | C8×D13 | — | 2 | 8 | no | — |
| 283 | #3586 | — | 13 | 2 | no | — |
| 284 | #3585 | — | 13 | 2 | no | — |
| 285 | #3290 | — | 13 | 8 | no | — |
| 286 | #3289 | — | 13 | 4 | no | — |
| 287 | #3288 | — | 13 | 4 | no | — |
| 288 | #3153 | — | 13 | 1 | no | — |
| 289 | #3069 | — | 13 | 2 | no | — |
| 290 | #3068 | — | 13 | 2 | no | — |
| 291 | #3018 | — | 13 | 2 | no | — |
| 292 | C2×#454 | — | 13 | 1 | no | — |
| 293 | C2×#455 | D13 | 1 | 1 | yes | characteristic, complemented |
| 294 | #2956 | — | 13 | 2 | no | — |
| 295 | C23×C13 | — | 2 | 2 | no | — |
| 296 | C23×C13 | — | 2 | 2 | no | — |
| 297 | C23×C13 | — | 4 | 4 | no | — |
| 298 | C23×C13 | — | 4 | 1 | no | — |
| 299 | C23×C13 | — | 4 | 1 | no | — |
| 300 | C23×C13 | — | 8 | 2 | no | — |
| 301 | C23×C13 | — | 16 | 2 | no | — |
| 302 | C23×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 303 | C22×D13 | — | 2 | 2 | no | — |
| 304 | C22×D13 | — | 2 | 2 | no | — |
| 305 | C22×D13 | — | 4 | 4 | no | — |
| 306 | Q8×C13 | — | 2 | 2 | no | — |
| 307 | Q8×C13 | — | 2 | 4 | no | — |
| 308 | Q8×C13 | — | 4 | 2 | no | — |
| 309 | Q8×C13 | C22×D4 | 1 | 4 | yes | — |
| 310 | D4×C13 | — | 2 | 4 | no | — |
| 311 | D4×C13 | — | 2 | 4 | no | — |
| 312 | D4×C13 | — | 2 | 2 | no | — |
| 313 | D4×C13 | — | 2 | 4 | no | — |
| 314 | D4×C13 | — | 4 | 8 | no | — |
| 315 | D4×C13 | — | 4 | 2 | no | — |
| 316 | D4×C13 | C22×D4 | 1 | 4 | yes | — |
| 317 | C2×C4×C13 | — | 2 | 2 | no | — |
| 318 | C2×C4×C13 | — | 2 | 4 | no | — |
| 319 | C2×C4×C13 | — | 2 | 4 | no | — |
| 320 | C2×C4×C13 | — | 2 | 1 | no | — |
| 321 | C2×C4×C13 | — | 2 | 1 | no | — |
| 322 | C2×C4×C13 | — | 2 | 2 | no | — |
| 323 | C2×C4×C13 | — | 4 | 4 | no | — |
| 324 | C2×C4×C13 | — | 4 | 1 | no | — |
| 325 | C2×C4×C13 | — | 4 | 1 | no | — |
| 326 | C2×C4×C13 | — | 8 | 1 | no | — |
| 327 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 328 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 329 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 330 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 331 | C22⋊D13 | — | 2 | 4 | no | — |
| 332 | C22⋊D13 | — | 2 | 4 | no | — |
| 333 | C22⋊D13 | — | 4 | 4 | no | — |
| 334 | C22⋊D13 | — | 4 | 4 | no | — |
| 335 | C22⋊D13 | — | 4 | 2 | no | — |
| 336 | C22⋊D13 | — | 4 | 2 | no | — |
| 337 | C2×Dic13 | — | 2 | 2 | no | — |
| 338 | C2×Dic13 | — | 2 | 2 | no | — |
| 339 | C2×Dic13 | — | 4 | 4 | no | — |
| 340 | D52 | — | 2 | 2 | no | — |
| 341 | D52 | — | 2 | 2 | no | — |
| 342 | D52 | — | 2 | 2 | no | — |
| 343 | D52 | — | 4 | 4 | no | — |
| 344 | D52 | — | 4 | 4 | no | — |
| 345 | D52 | — | 8 | 2 | no | — |
| 346 | D52 | C22×D4 | 1 | 4 | yes | — |
| 347 | C4×D13 | — | 2 | 4 | no | — |
| 348 | C4×D13 | — | 2 | 4 | no | — |
| 349 | C4×D13 | — | 4 | 4 | no | — |
| 350 | C4×D13 | — | 4 | 8 | no | — |
| 351 | C4×D13 | — | 4 | 4 | no | — |
| 352 | C4×D13 | — | 4 | 2 | no | — |
| 353 | C4×D13 | — | 4 | 2 | no | — |
| 354 | Dic26 | — | 2 | 2 | no | — |
| 355 | Dic26 | — | 2 | 2 | no | — |
| 356 | Dic26 | — | 2 | 2 | no | — |
| 357 | Dic26 | — | 4 | 4 | no | — |
| 358 | Dic26 | — | 4 | 4 | no | — |
| 359 | Dic26 | C22×D4 | 1 | 4 | yes | — |
| 360 | C8×C13 | — | 2 | 4 | no | — |
| 361 | #1055 | — | 2 | 4 | no | — |
| 362 | #1055 | C22×D4 | 1 | 8 | yes | — |
| 363 | #585 | — | 13 | 2 | no | — |
| 364 | C2×2−1+4 | — | 13 | 1 | no | — |
| 365 | C2×H(5,𝔽2) | C2×D13 | 1 | 1 | yes | characteristic |
| 366 | #578 | — | 13 | 8 | no | — |
| 367 | #578 | — | 26 | 4 | no | — |
| 368 | #577 | — | 13 | 8 | no | — |
| 369 | #577 | — | 13 | 8 | no | — |
| 370 | #577 | — | 26 | 4 | no | — |
| 371 | #577 | — | 26 | 4 | no | — |
| 372 | #576 | — | 13 | 8 | no | — |
| 373 | #576 | — | 26 | 4 | no | — |
| 374 | #575 | — | 13 | 2 | no | — |
| 375 | #575 | — | 13 | 2 | no | — |
| 376 | #575 | — | 13 | 2 | no | — |
| 377 | #575 | — | 26 | 4 | no | — |
| 378 | #575 | — | 26 | 4 | no | — |
| 379 | C2×#137 | — | 13 | 2 | no | — |
| 380 | C2×#137 | — | 26 | 4 | no | — |
| 381 | C2×#137 | C2×D13 | 1 | 2 | yes | complemented |
| 382 | C2×AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 383 | C2×AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 384 | C2×AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 385 | #568 | — | 13 | 2 | no | — |
| 386 | #568 | — | 13 | 2 | no | — |
| 387 | #532 | — | 13 | 1 | no | — |
| 388 | C2×#124 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 389 | #497 | — | 13 | 2 | no | — |
| 390 | #496 | — | 13 | 2 | no | — |
| 391 | #495 | — | 13 | 4 | no | — |
| 392 | #473 | — | 13 | 8 | no | — |
| 393 | #472 | — | 13 | 8 | no | — |
| 394 | #471 | — | 13 | 8 | no | — |
| 395 | #471 | — | 13 | 8 | no | — |
| 396 | #456 | — | 13 | 4 | no | — |
| 397 | #455 | — | 13 | 4 | no | — |
| 398 | #455 | C2×D13 | 1 | 4 | yes | complemented |
| 399 | #455 | C2×D13 | 1 | 4 | yes | complemented |
| 400 | #454 | — | 13 | 4 | no | — |
| 401 | #454 | — | 13 | 4 | no | — |
| 402 | #454 | — | 13 | 4 | no | — |
| 403 | #453 | — | 13 | 4 | no | — |
| 404 | #444 | — | 13 | 8 | no | — |
| 405 | #443 | — | 13 | 8 | no | — |
| 406 | #430 | — | 13 | 2 | no | — |
| 407 | C2×#104 | — | 13 | 2 | no | — |
| 408 | C2×#104 | C2×D13 | 1 | 2 | yes | complemented |
| 409 | #413 | — | 13 | 2 | no | — |
| 410 | C2×#101 | — | 13 | 1 | no | — |
| 411 | C2×#100 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 412 | C4×M16 | — | 13 | 1 | no | — |
| 413 | C22×C13 | — | 2 | 4 | no | — |
| 414 | C22×C13 | — | 4 | 1 | no | — |
| 415 | C22×C13 | — | 4 | 2 | no | — |
| 416 | C22×C13 | — | 8 | 2 | no | — |
| 417 | C22×C13 | — | 8 | 2 | no | — |
| 418 | C22×C13 | — | 8 | 2 | no | — |
| 419 | C22×C13 | — | 16 | 1 | no | — |
| 420 | C22×C13 | — | 16 | 4 | no | — |
| 421 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 422 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 423 | C22×C13 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 424 | C2×D13 | — | 2 | 4 | no | — |
| 425 | C2×D13 | — | 4 | 2 | no | — |
| 426 | C2×D13 | — | 8 | 2 | no | — |
| 427 | C2×D13 | — | 8 | 2 | no | — |
| 428 | C2×D13 | — | 16 | 4 | no | — |
| 429 | C4×C13 | — | 2 | 4 | no | — |
| 430 | C4×C13 | — | 4 | 1 | no | — |
| 431 | C4×C13 | — | 4 | 1 | no | — |
| 432 | C4×C13 | — | 4 | 2 | no | — |
| 433 | C4×C13 | D42 | 1 | 2 | yes | — |
| 434 | C4×C13 | C23×D4 | 1 | 2 | yes | — |
| 435 | Dic13 | — | 2 | 4 | no | — |
| 436 | Dic13 | — | 4 | 2 | no | — |
| 437 | 2−1+4 | — | 13 | 4 | no | — |
| 438 | 2−1+4 | — | 13 | 4 | no | — |
| 439 | 2−1+4 | — | 26 | 4 | no | — |
| 440 | 2−1+4 | — | 26 | 2 | no | — |
| 441 | 2−1+4 | — | 26 | 2 | no | — |
| 442 | 2−1+4 | — | 52 | 1 | no | — |
| 443 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 444 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 445 | H(5,𝔽2) | — | 13 | 4 | no | — |
| 446 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 447 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 448 | H(5,𝔽2) | — | 52 | 2 | no | — |
| 449 | H(5,𝔽2) | C22×D13 | 1 | 4 | yes | — |
| 450 | C2×#41 | — | 2 | 2 | no | — |
| 451 | C2×#41 | — | 13 | 2 | no | — |
| 452 | C2×#41 | — | 13 | 2 | no | — |
| 453 | C2×#41 | — | 26 | 4 | no | — |
| 454 | C2×#41 | — | 26 | 2 | no | — |
| 455 | C2×#41 | — | 26 | 4 | no | — |
| 456 | C2×#41 | — | 52 | 1 | no | — |
| 457 | C2×#41 | — | 52 | 2 | no | — |
| 458 | C2×#41 | C22×D13 | 1 | 2 | yes | — |
| 459 | C22×Q8 | — | 26 | 2 | no | — |
| 460 | C22×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 461 | C22×D4 | — | 2 | 2 | no | — |
| 462 | C22×D4 | — | 4 | 1 | no | — |
| 463 | C22×D4 | C22×D13 | 1 | 1 | yes | characteristic |
| 464 | #137 | — | 2 | 4 | no | — |
| 465 | #137 | — | 13 | 4 | no | — |
| 466 | #137 | — | 13 | 4 | no | — |
| 467 | #137 | — | 13 | 4 | no | — |
| 468 | #137 | — | 13 | 4 | no | — |
| 469 | #137 | — | 26 | 2 | no | — |
| 470 | #137 | — | 26 | 4 | no | — |
| 471 | #137 | — | 26 | 4 | no | — |
| 472 | #137 | — | 26 | 8 | no | — |
| 473 | #137 | — | 26 | 8 | no | — |
| 474 | #137 | — | 26 | 8 | no | — |
| 475 | #137 | — | 26 | 8 | no | — |
| 476 | #137 | — | 26 | 2 | no | — |
| 477 | #137 | C22×D13 | 1 | 8 | yes | — |
| 478 | AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 479 | AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 480 | AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 481 | AGL(1,ℤ/8) | — | 13 | 8 | no | — |
| 482 | AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 483 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 484 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 485 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 486 | AGL(1,ℤ/8) | — | 26 | 8 | no | — |
| 487 | AGL(1,ℤ/8) | — | 26 | 8 | no | — |
| 488 | AGL(1,ℤ/8) | — | 26 | 8 | no | — |
| 489 | AGL(1,ℤ/8) | — | 26 | 8 | no | — |
| 490 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 491 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 492 | #135 | — | 13 | 8 | no | — |
| 493 | #135 | — | 26 | 4 | no | — |
| 494 | #135 | — | 26 | 8 | no | — |
| 495 | #135 | — | 26 | 8 | no | — |
| 496 | #135 | — | 26 | 8 | no | — |
| 497 | #135 | — | 26 | 8 | no | — |
| 498 | #135 | — | 26 | 4 | no | — |
| 499 | C2×Q16 | — | 2 | 2 | no | — |
| 500 | C2×Q16 | — | 13 | 4 | no | — |
| 501 | C2×Q16 | — | 26 | 8 | no | — |
| 502 | C2×SD16 | — | 2 | 2 | no | — |
| 503 | C2×SD16 | — | 13 | 4 | no | — |
| 504 | C2×SD16 | — | 13 | 4 | no | — |
| 505 | C2×SD16 | — | 26 | 8 | no | — |
| 506 | C2×SD16 | — | 26 | 8 | no | — |
| 507 | C2×SD16 | — | 26 | 2 | no | — |
| 508 | C2×D8 | — | 13 | 4 | no | — |
| 509 | C2×D8 | — | 26 | 8 | no | — |
| 510 | C2×D8 | — | 26 | 2 | no | — |
| 511 | #131 | — | 13 | 8 | no | — |
| 512 | #131 | — | 13 | 8 | no | — |
| 513 | #131 | — | 26 | 4 | no | — |
| 514 | #131 | — | 26 | 4 | no | — |
| 515 | C2×M16 | — | 13 | 2 | no | — |
| 516 | C2×M16 | — | 13 | 2 | no | — |
| 517 | C2×M16 | — | 26 | 4 | no | — |
| 518 | C2×M16 | — | 26 | 4 | no | — |
| 519 | C2×M16 | C22×D13 | 1 | 2 | yes | — |
| 520 | C4⋊Q8 | — | 13 | 1 | no | — |
| 521 | #127 | — | 13 | 1 | no | — |
| 522 | #124 | — | 4 | 1 | no | — |
| 523 | #124 | — | 13 | 2 | no | — |
| 524 | #124 | C22×D13 | 1 | 2 | yes | — |
| 525 | #124 | C22×D13 | 1 | 2 | yes | — |
| 526 | #121 | — | 52 | 1 | no | — |
| 527 | C4×D4 | — | 52 | 1 | no | — |
| 528 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 529 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 530 | #108 | — | 13 | 8 | no | — |
| 531 | #104 | — | 13 | 4 | no | — |
| 532 | #104 | — | 13 | 4 | no | — |
| 533 | #104 | C22×D13 | 1 | 4 | yes | — |
| 534 | #104 | C22×D13 | 1 | 4 | yes | — |
| 535 | #101 | — | 13 | 4 | no | — |
| 536 | #101 | — | 13 | 4 | no | — |
| 537 | #100 | — | 13 | 4 | no | — |
| 538 | #100 | C22×D13 | 1 | 4 | yes | — |
| 539 | #97 | — | 13 | 2 | no | — |
| 540 | C4×C8 | — | 13 | 2 | no | — |
| 541 | C2×C13 | — | 2 | 1 | no | — |
| 542 | C2×C13 | — | 2 | 1 | no | — |
| 543 | C2×C13 | — | 2 | 1 | no | — |
| 544 | C2×C13 | — | 4 | 4 | no | — |
| 545 | C2×C13 | — | 8 | 2 | no | — |
| 546 | C2×C13 | C2×D42 | 1 | 1 | yes | characteristic |
| 547 | D13 | — | 4 | 4 | no | — |
| 548 | D13 | — | 8 | 2 | no | — |
| 549 | C24 | — | 2 | 1 | no | — |
| 550 | C24 | — | 4 | 1 | no | — |
| 551 | #41 | — | 2 | 2 | no | — |
| 552 | #41 | — | 2 | 2 | no | — |
| 553 | #41 | — | 2 | 8 | no | — |
| 554 | #41 | — | 4 | 4 | no | — |
| 555 | #41 | — | 13 | 4 | no | — |
| 556 | #41 | — | 13 | 4 | no | — |
| 557 | #41 | — | 26 | 4 | no | — |
| 558 | #41 | — | 26 | 4 | no | — |
| 559 | #41 | — | 26 | 2 | no | — |
| 560 | #41 | — | 26 | 2 | no | — |
| 561 | #41 | — | 26 | 8 | no | — |
| 562 | #41 | — | 26 | 4 | no | — |
| 563 | #41 | — | 26 | 4 | no | — |
| 564 | #41 | — | 26 | 2 | no | — |
| 565 | #41 | — | 26 | 2 | no | — |
| 566 | #41 | — | 26 | 2 | no | — |
| 567 | #41 | — | 26 | 2 | no | — |
| 568 | #41 | — | 52 | 4 | no | — |
| 569 | #41 | — | 52 | 4 | no | — |
| 570 | #41 | — | 52 | 4 | no | — |
| 571 | #41 | — | 52 | 4 | no | — |
| 572 | #41 | — | 52 | 4 | no | — |
| 573 | #41 | — | 52 | 4 | no | — |
| 574 | #41 | — | 52 | 4 | no | — |
| 575 | #41 | — | 52 | 2 | no | — |
| 576 | #41 | — | 52 | 2 | no | — |
| 577 | #41 | D4×D13 | 1 | 4 | yes | — |
| 578 | #41 | C23×D13 | 1 | 4 | yes | — |
| 579 | C2×Q8 | — | 2 | 1 | no | — |
| 580 | C2×Q8 | — | 2 | 2 | no | — |
| 581 | C2×Q8 | — | 2 | 2 | no | — |
| 582 | C2×Q8 | — | 13 | 2 | no | — |
| 583 | C2×Q8 | — | 13 | 2 | no | — |
| 584 | C2×Q8 | — | 26 | 4 | no | — |
| 585 | C2×Q8 | — | 26 | 8 | no | — |
| 586 | C2×Q8 | — | 26 | 4 | no | — |
| 587 | C2×Q8 | — | 52 | 1 | no | — |
| 588 | C2×Q8 | — | 52 | 4 | no | — |
| 589 | C2×Q8 | — | 52 | 2 | no | — |
| 590 | C2×Q8 | D4×D13 | 1 | 2 | yes | — |
| 591 | C2×Q8 | C23×D13 | 1 | 2 | yes | — |
| 592 | C2×D4 | — | 2 | 2 | no | — |
| 593 | C2×D4 | — | 2 | 8 | no | — |
| 594 | C2×D4 | — | 2 | 2 | no | — |
| 595 | C2×D4 | — | 2 | 2 | no | — |
| 596 | C2×D4 | — | 2 | 1 | no | — |
| 597 | C2×D4 | — | 4 | 4 | no | — |
| 598 | C2×D4 | — | 4 | 2 | no | — |
| 599 | C2×D4 | — | 4 | 4 | no | — |
| 600 | C2×D4 | — | 4 | 4 | no | — |
| 601 | C2×D4 | — | 13 | 2 | no | — |
| 602 | C2×D4 | — | 13 | 2 | no | — |
| 603 | C2×D4 | — | 26 | 4 | no | — |
| 604 | C2×D4 | — | 26 | 2 | no | — |
| 605 | C2×D4 | — | 26 | 4 | no | — |
| 606 | C2×D4 | — | 26 | 2 | no | — |
| 607 | C2×D4 | — | 52 | 1 | no | — |
| 608 | C2×D4 | — | 52 | 1 | no | — |
| 609 | C2×D4 | — | 52 | 4 | no | — |
| 610 | C2×D4 | — | 52 | 2 | no | — |
| 611 | C2×D4 | — | 52 | 4 | no | — |
| 612 | C2×D4 | — | 52 | 4 | no | — |
| 613 | C2×D4 | D4×D13 | 1 | 2 | yes | — |
| 614 | C2×D4 | C23×D13 | 1 | 2 | yes | — |
| 615 | C22×C4 | — | 2 | 2 | no | — |
| 616 | C22×C4 | — | 2 | 1 | no | — |
| 617 | C22×C4 | — | 2 | 1 | no | — |
| 618 | C22×C4 | — | 4 | 1 | no | — |
| 619 | C22×C4 | — | 26 | 2 | no | — |
| 620 | C22×C4 | — | 26 | 2 | no | — |
| 621 | C22×C4 | — | 52 | 4 | no | — |
| 622 | C22×C4 | — | 52 | 2 | no | — |
| 623 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 624 | Q16 | — | 2 | 8 | no | — |
| 625 | Q16 | — | 13 | 8 | no | — |
| 626 | Q16 | — | 26 | 4 | no | — |
| 627 | Q16 | — | 26 | 8 | no | — |
| 628 | Q16 | — | 26 | 4 | no | — |
| 629 | SD16 | — | 2 | 8 | no | — |
| 630 | SD16 | — | 13 | 8 | no | — |
| 631 | SD16 | — | 13 | 8 | no | — |
| 632 | SD16 | — | 26 | 4 | no | — |
| 633 | SD16 | — | 26 | 4 | no | — |
| 634 | SD16 | — | 26 | 8 | no | — |
| 635 | SD16 | — | 26 | 8 | no | — |
| 636 | SD16 | — | 26 | 8 | no | — |
| 637 | SD16 | — | 26 | 4 | no | — |
| 638 | SD16 | — | 26 | 4 | no | — |
| 639 | D8 | — | 13 | 8 | no | — |
| 640 | D8 | — | 26 | 4 | no | — |
| 641 | D8 | — | 26 | 8 | no | — |
| 642 | D8 | — | 26 | 8 | no | — |
| 643 | D8 | — | 26 | 4 | no | — |
| 644 | M16 | — | 2 | 2 | no | — |
| 645 | M16 | — | 13 | 4 | no | — |
| 646 | M16 | — | 13 | 4 | no | — |
| 647 | M16 | — | 13 | 4 | no | — |
| 648 | M16 | — | 26 | 8 | no | — |
| 649 | M16 | — | 26 | 8 | no | — |
| 650 | M16 | — | 26 | 2 | no | — |
| 651 | M16 | C23×D13 | 1 | 4 | yes | — |
| 652 | C2×C8 | — | 2 | 2 | no | — |
| 653 | C2×C8 | — | 13 | 4 | no | — |
| 654 | C2×C8 | — | 26 | 8 | no | — |
| 655 | C2×C8 | — | 26 | 8 | no | — |
| 656 | C2×C8 | — | 26 | 2 | no | — |
| 657 | C4⋊C4 | — | 52 | 1 | no | — |
| 658 | C22⋊C4 | — | 4 | 2 | no | — |
| 659 | C22⋊C4 | — | 4 | 2 | no | — |
| 660 | C22⋊C4 | — | 52 | 2 | no | — |
| 661 | C42 | — | 2 | 1 | no | — |
| 662 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 663 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 664 | C13 | #61109 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 665 | C23 | — | 2 | 2 | no | — |
| 666 | C23 | — | 2 | 2 | no | — |
| 667 | C23 | — | 4 | 4 | no | — |
| 668 | C23 | — | 4 | 1 | no | — |
| 669 | C23 | — | 4 | 1 | no | — |
| 670 | C23 | — | 8 | 2 | no | — |
| 671 | C23 | — | 16 | 2 | no | — |
| 672 | C23 | — | 26 | 2 | no | — |
| 673 | C23 | — | 26 | 2 | no | — |
| 674 | C23 | — | 52 | 4 | no | — |
| 675 | C23 | #88251 | 1 | 1 | yes | characteristic |
| 676 | Q8 | — | 2 | 2 | no | — |
| 677 | Q8 | — | 2 | 4 | no | — |
| 678 | Q8 | — | 4 | 2 | no | — |
| 679 | Q8 | — | 13 | 4 | no | — |
| 680 | Q8 | — | 26 | 2 | no | — |
| 681 | Q8 | — | 26 | 2 | no | — |
| 682 | Q8 | — | 26 | 2 | no | — |
| 683 | Q8 | — | 52 | 4 | no | — |
| 684 | Q8 | — | 52 | 4 | no | — |
| 685 | Q8 | C2×D4×D13 | 1 | 4 | yes | — |
| 686 | D4 | — | 2 | 4 | no | — |
| 687 | D4 | — | 2 | 4 | no | — |
| 688 | D4 | — | 2 | 2 | no | — |
| 689 | D4 | — | 2 | 4 | no | — |
| 690 | D4 | — | 4 | 8 | no | — |
| 691 | D4 | — | 4 | 2 | no | — |
| 692 | D4 | — | 13 | 4 | no | — |
| 693 | D4 | — | 26 | 4 | no | — |
| 694 | D4 | — | 26 | 4 | no | — |
| 695 | D4 | — | 26 | 2 | no | — |
| 696 | D4 | — | 26 | 2 | no | — |
| 697 | D4 | — | 26 | 2 | no | — |
| 698 | D4 | — | 52 | 4 | no | — |
| 699 | D4 | — | 52 | 4 | no | — |
| 700 | D4 | — | 52 | 4 | no | — |
| 701 | D4 | — | 52 | 4 | no | — |
| 702 | D4 | — | 52 | 2 | no | — |
| 703 | D4 | — | 52 | 2 | no | — |
| 704 | D4 | — | 104 | 2 | no | — |
| 705 | D4 | C2×D4×D13 | 1 | 4 | yes | — |
| 706 | C2×C4 | — | 2 | 2 | no | — |
| 707 | C2×C4 | — | 2 | 4 | no | — |
| 708 | C2×C4 | — | 2 | 4 | no | — |
| 709 | C2×C4 | — | 2 | 1 | no | — |
| 710 | C2×C4 | — | 2 | 1 | no | — |
| 711 | C2×C4 | — | 2 | 2 | no | — |
| 712 | C2×C4 | — | 4 | 4 | no | — |
| 713 | C2×C4 | — | 4 | 1 | no | — |
| 714 | C2×C4 | — | 4 | 1 | no | — |
| 715 | C2×C4 | — | 8 | 1 | no | — |
| 716 | C2×C4 | — | 26 | 2 | no | — |
| 717 | C2×C4 | — | 26 | 4 | no | — |
| 718 | C2×C4 | — | 26 | 4 | no | — |
| 719 | C2×C4 | — | 26 | 2 | no | — |
| 720 | C2×C4 | — | 52 | 4 | no | — |
| 721 | C2×C4 | — | 52 | 4 | no | — |
| 722 | C2×C4 | — | 52 | 8 | no | — |
| 723 | C2×C4 | — | 52 | 4 | no | — |
| 724 | C2×C4 | — | 52 | 2 | no | — |
| 725 | C2×C4 | — | 52 | 2 | no | — |
| 726 | C2×C4 | C2×D4×D13 | 1 | 2 | yes | — |
| 727 | C2×C4 | C2×D4×D13 | 1 | 2 | yes | — |
| 728 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 729 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 730 | C8 | — | 2 | 4 | no | — |
| 731 | C8 | — | 13 | 8 | no | — |
| 732 | C8 | — | 26 | 4 | no | — |
| 733 | C22 | — | 2 | 4 | no | — |
| 734 | C22 | — | 4 | 1 | no | — |
| 735 | C22 | — | 4 | 2 | no | — |
| 736 | C22 | — | 8 | 2 | no | — |
| 737 | C22 | — | 8 | 2 | no | — |
| 738 | C22 | — | 8 | 2 | no | — |
| 739 | C22 | — | 16 | 1 | no | — |
| 740 | C22 | — | 16 | 4 | no | — |
| 741 | C22 | — | 26 | 4 | no | — |
| 742 | C22 | — | 52 | 2 | no | — |
| 743 | C22 | — | 104 | 2 | no | — |
| 744 | C22 | — | 104 | 2 | no | — |
| 745 | C22 | — | 208 | 4 | no | — |
| 746 | C22 | #11719295 | 1 | 1 | yes | characteristic |
| 747 | C22 | #11719295 | 1 | 1 | yes | characteristic |
| 748 | C22 | C2×#88251 | 1 | 1 | yes | characteristic |
| 749 | C4 | — | 2 | 4 | no | — |
| 750 | C4 | — | 4 | 1 | no | — |
| 751 | C4 | — | 4 | 1 | no | — |
| 752 | C4 | — | 4 | 2 | no | — |
| 753 | C4 | — | 26 | 4 | no | — |
| 754 | C4 | — | 52 | 2 | no | — |
| 755 | C4 | #11719295 | 1 | 2 | yes | — |
| 756 | C4 | C22×D4×D13 | 1 | 2 | yes | — |
| 757 | C2 | — | 2 | 1 | no | — |
| 758 | C2 | — | 2 | 1 | no | — |
| 759 | C2 | — | 2 | 1 | no | — |
| 760 | C2 | — | 4 | 4 | no | — |
| 761 | C2 | — | 8 | 2 | no | — |
| 762 | C2 | — | 52 | 4 | no | — |
| 763 | C2 | — | 104 | 2 | no | — |
| 764 | C2 | C2×#11719295 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129619 | C2 | semidirect |
| 2. #13129616 | C2 | semidirect |
| 3. #13126620 | C2 | semidirect |
| 4. #13126614 | C2 | semidirect |
| 5. #13126605 | C2 | semidirect |
| 6. #13125300 | C2 | semidirect |
| 7. #13124570 | C2 | semidirect |
| 8. #13124563 | C2 | semidirect |
| 9. #13124187 | C2 | semidirect |
| 10. C2×#11718723 | C2 | semidirect |
| 11. #13123742 | C2 | semidirect |
| 12. C2×C13×#455 | C2 | semidirect |
| 14. #11719648 | C22 | semidirect |
| 15. C2×#88254 | C22 | semidirect |
| 16. C2×C13×#137 | C22 | semidirect |
| 17. C2×C13×#124 | C22 | semidirect |
| 19. #11719541 | C22 | semidirect |
| 21. #11719540 | C22 | semidirect |
| 25. #11719524 | C22 | semidirect |
| 26. C2×#88196 | C22 | semidirect |
| 28. C2×#88186 | C22 | semidirect |
| 29. C2×#88186 | C22 | semidirect |
| 30. #11719484 | C22 | semidirect |
| 31. #11719483 | C22 | semidirect |
| 36. #11719453 | C22 | semidirect |
| 37. #11719450 | C22 | semidirect |
| 38. #11719182 | C22 | semidirect |
| 39. C13×#455 | C22 | semidirect |
| 40. C13×#455 | C22 | semidirect |
| 41. C2×C13×#104 | C22 | semidirect |
| 42. C2×C13×#100 | C22 | semidirect |
| 43. C2×#88076 | C22 | semidirect |
| 44. #11718865 | C22 | semidirect |
| 45. #11718864 | C22 | semidirect |
| 46. #11718793 | C22 | semidirect |
| 47. #11718785 | C22 | semidirect |
| 48. #11718723 | C22 | semidirect |
| 49. #11718723 | C22 | semidirect |
| 50. #11718721 | C22 | semidirect |
| 51. #11718720 | C22 | semidirect |
| 52. #11718719 | C22 | semidirect |
| 53. C2×#88045 | C22 | semidirect |
| 54. C4×#6099 | C22 | semidirect |
| 55. #11718488 | C22 | semidirect |
| 56. #11718487 | C22 | semidirect |
| 57. #11718486 | C22 | semidirect |
| 58. #11718485 | C22 | semidirect |
| 59. #11718484 | C22 | semidirect |
| 60. #11718483 | C22 | semidirect |
| 61. #11718410 | C22 | semidirect |
| 62. #11718409 | C22 | semidirect |
| 81. #88254 | C23 | semidirect |
| 101. #88205 | D4 | semidirect |
| 108. #88203 | D4 | semidirect |
| 112. C2×#6107 | C23 | semidirect |
| 116. #88196 | D4 | semidirect |
| 117. C2×#6106 | C23 | semidirect |
| 127. #88186 | D4 | semidirect |
| 145. #88163 | C23 | semidirect |
| 147. #88162 | C23 | semidirect |
| 148. #88161 | C23 | semidirect |
| 152. #88129 | C23 | semidirect |
| 153. #88128 | C23 | semidirect |
| 155. #88123 | C23 | semidirect |
| 159. #88076 | C23 | semidirect |
| 160. #88064 | C23 | semidirect |
| 161. #88063 | C23 | semidirect |
| 162. #88062 | C23 | semidirect |
| 163. #88045 | C23 | semidirect |
| 164. #88045 | C23 | semidirect |
| 165. #88043 | C23 | semidirect |
| 166. C4×#1055 | C23 | semidirect |
| 293. C2×#455 | D13 | semidirect |
| 381. C2×#137 | C2×D13 | semidirect |
| 388. C2×#124 | C2×D13 | semidirect |
| 398. #455 | C2×D13 | semidirect |
| 399. #455 | C2×D13 | semidirect |
| 408. C2×#104 | C2×D13 | semidirect |
| 411. C2×#100 | C2×D13 | semidirect |
| 664. C13 | #61109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129619 | 2 |
| #13129616 | 2 |
| #13126620 | 2 |
| #13126614 | 2 |
| #13126605 | 2 |
| #13125300 | 2 |
| #13124570 | 2 |
| #13124563 | 2 |
| #13124187 | 2 |
| C2×#11718723 | 2 |
| #13123742 | 2 |
| C2×C13×#455 | 2 |
| #61109 | 13 |