Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
962 conjugacy classes of subgroups.
The subgroup lattice has 836 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×D13⋊#104 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13131311 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#11718271 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13130523 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#11718272 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13130013 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D13×#417 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#41×D13 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#88237 | C22 | 1 | 1 | yes | characteristic |
| 10 | C22×C4⋊#261 | C22 | 1 | 1 | yes | characteristic |
| 11 | C22×C4×#261 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×D13⋊M16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×M16×D13 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C4⋊C4×D13 | C22 | 1 | 1 | yes | characteristic |
| 15 | D13⋊#104 | — | 2 | 2 | no | — |
| 16 | D13⋊#104 | — | 2 | 2 | no | — |
| 17 | (C2×#261)⋊Q8 | — | 2 | 1 | no | — |
| 18 | C2×#88118 | — | 2 | 1 | no | — |
| 19 | #11719151 | — | 2 | 1 | no | — |
| 20 | #11719150 | — | 2 | 2 | no | — |
| 21 | C2×#88116 | — | 2 | 1 | no | — |
| 22 | #11719136 | — | 2 | 1 | no | — |
| 23 | #11719136 | — | 2 | 1 | no | — |
| 24 | C2×(C2×#261)⋊C4 | — | 2 | 2 | no | — |
| 25 | C13×#417 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | #11718893 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #11718794 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #11718627 | C4 | 1 | 1 | yes | characteristic, complemented |
| 29 | #11718464 | — | 2 | 1 | no | — |
| 30 | D13×#103 | — | 2 | 1 | no | — |
| 31 | #11718432 | — | 2 | 1 | no | — |
| 32 | D13×#102 | — | 2 | 1 | no | — |
| 33 | #11718272 | — | 2 | 2 | no | — |
| 34 | #11718271 | — | 2 | 2 | no | — |
| 35 | #11718246 | — | 2 | 1 | no | — |
| 36 | #11718246 | — | 2 | 1 | no | — |
| 37 | C23×#261 | — | 2 | 1 | no | — |
| 38 | C23×#261 | D4 | 1 | 2 | yes | — |
| 39 | C2×C13×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | #41×D13 | — | 2 | 1 | no | — |
| 41 | #41×D13 | — | 2 | 1 | no | — |
| 42 | #41×D13 | — | 2 | 1 | no | — |
| 43 | #41×D13 | — | 2 | 1 | no | — |
| 44 | #41×D13 | — | 2 | 1 | no | — |
| 45 | #41×D13 | — | 2 | 1 | no | — |
| 46 | #41×D13 | — | 2 | 1 | no | — |
| 47 | #41×D13 | — | 2 | 1 | no | — |
| 48 | C2×#6131 | D4 | 1 | 1 | yes | characteristic |
| 49 | C2×Q8×D13 | D4 | 1 | 1 | yes | characteristic |
| 50 | C2×#6129 | — | 2 | 1 | no | — |
| 51 | C2×#6129 | D4 | 1 | 1 | yes | characteristic |
| 52 | C2×D4×D13 | — | 2 | 1 | no | — |
| 53 | C2×D4×D13 | D4 | 1 | 1 | yes | characteristic |
| 54 | C2×#6127 | — | 2 | 1 | no | — |
| 55 | C2×#6127 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C22×C4×D13 | — | 2 | 1 | no | — |
| 57 | C22×C4×D13 | — | 2 | 1 | no | — |
| 58 | C22×C4×D13 | C23 | 1 | 1 | yes | characteristic |
| 59 | C2×C22⋊#261 | — | 2 | 1 | no | — |
| 60 | C2×C22⋊#261 | — | 2 | 2 | no | — |
| 61 | C2×C22⋊#261 | — | 2 | 2 | no | — |
| 62 | C2×#6122 | — | 2 | 1 | no | — |
| 63 | #88237 | — | 2 | 1 | no | — |
| 64 | #88237 | — | 2 | 1 | no | — |
| 65 | #88237 | — | 2 | 1 | no | — |
| 66 | #88237 | — | 2 | 1 | no | — |
| 67 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 68 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 69 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 70 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 71 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 72 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 73 | C2×C4⋊#261 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×C4⋊#261 | D4 | 1 | 1 | yes | characteristic |
| 75 | C2×C4×#261 | — | 2 | 1 | no | — |
| 76 | C2×C4×#261 | — | 2 | 1 | no | — |
| 77 | C2×C4×#261 | — | 2 | 1 | no | — |
| 78 | C2×C4×#261 | — | 2 | 1 | no | — |
| 79 | C2×C4×#261 | — | 2 | 1 | no | — |
| 80 | C2×C4×#261 | — | 2 | 1 | no | — |
| 81 | C2×C4×#261 | D4 | 1 | 2 | yes | — |
| 82 | D13⋊M16 | — | 2 | 1 | no | — |
| 83 | D13⋊M16 | — | 2 | 1 | no | — |
| 84 | D13⋊M16 | — | 2 | 1 | no | — |
| 85 | D13⋊M16 | D4 | 1 | 2 | yes | — |
| 86 | C2×#6118 | — | 2 | 1 | no | — |
| 87 | C2×D13⋊C8 | — | 2 | 1 | no | — |
| 88 | C2×C13×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 89 | C2×C13×C4⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | C2×C4⋊Dic13 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | C2×#6101 | — | 2 | 1 | no | — |
| 92 | C2×#6099 | C2×C4 | 1 | 1 | yes | characteristic |
| 93 | M16×D13 | — | 2 | 1 | no | — |
| 94 | M16×D13 | — | 2 | 1 | no | — |
| 95 | M16×D13 | — | 2 | 1 | no | — |
| 96 | M16×D13 | — | 2 | 1 | no | — |
| 97 | C2×#6094 | — | 2 | 1 | no | — |
| 98 | C2×C8×D13 | — | 2 | 1 | no | — |
| 99 | C4⋊C4×D13 | — | 2 | 1 | no | — |
| 100 | C4⋊C4×D13 | — | 2 | 1 | no | — |
| 101 | C4⋊C4×D13 | — | 2 | 1 | no | — |
| 102 | C4⋊C4×D13 | — | 2 | 1 | no | — |
| 103 | #88118 | — | 2 | 4 | no | — |
| 104 | #88116 | — | 2 | 4 | no | — |
| 105 | (C2×#261)⋊C4 | — | 2 | 2 | no | — |
| 106 | (C2×#261)⋊C4 | — | 2 | 2 | no | — |
| 107 | (C2×#261)⋊C4 | — | 4 | 4 | no | — |
| 108 | C13×#103 | — | 2 | 1 | no | — |
| 109 | C13×#102 | — | 2 | 1 | no | — |
| 110 | #88075 | — | 2 | 1 | no | — |
| 111 | #88072 | — | 2 | 1 | no | — |
| 112 | #88061 | — | 2 | 1 | no | — |
| 113 | #88056 | — | 2 | 1 | no | — |
| 114 | #88050 | — | 2 | 1 | no | — |
| 115 | #88049 | — | 2 | 1 | no | — |
| 116 | #11195 | — | 13 | 1 | no | maximal, Sylow |
| 117 | C23×D13 | — | 2 | 1 | no | — |
| 118 | C23×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C22×#261 | — | 2 | 2 | no | — |
| 120 | C22×#261 | — | 2 | 2 | no | — |
| 121 | C22×#261 | — | 2 | 2 | no | — |
| 122 | C22×#261 | — | 2 | 1 | no | — |
| 123 | C22×#261 | — | 2 | 1 | no | — |
| 124 | C22×#261 | — | 2 | 2 | no | — |
| 125 | C22×#261 | — | 2 | 2 | no | — |
| 126 | C22×#261 | — | 2 | 2 | no | — |
| 127 | C22×#261 | — | 4 | 1 | no | — |
| 128 | C22×#261 | — | 4 | 1 | no | — |
| 129 | C22×#261 | — | 4 | 1 | no | — |
| 130 | C22×#261 | — | 4 | 1 | no | — |
| 131 | C22×#261 | — | 4 | 2 | no | — |
| 132 | C22×#261 | — | 4 | 2 | no | — |
| 133 | C13×#41 | — | 2 | 1 | no | — |
| 134 | C13×#41 | — | 2 | 1 | no | — |
| 135 | C13×#41 | — | 2 | 1 | no | — |
| 136 | C13×#41 | — | 2 | 1 | no | — |
| 137 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 138 | C2×D4×C13 | — | 2 | 1 | no | — |
| 139 | C2×D4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 140 | C22×C4×C13 | — | 2 | 1 | no | — |
| 141 | C22×C4×C13 | — | 2 | 1 | no | — |
| 142 | C22×C4×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 143 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 144 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 145 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 146 | C22×Dic13 | — | 2 | 1 | no | — |
| 147 | C22×Dic13 | — | 2 | 1 | no | — |
| 148 | C22×Dic13 | #41 | 1 | 1 | yes | characteristic |
| 149 | #6131 | — | 2 | 1 | no | — |
| 150 | #6131 | — | 2 | 1 | no | — |
| 151 | #6131 | — | 2 | 1 | no | — |
| 152 | #6131 | — | 2 | 1 | no | — |
| 153 | Q8×D13 | — | 2 | 1 | no | — |
| 154 | Q8×D13 | — | 2 | 1 | no | — |
| 155 | Q8×D13 | — | 2 | 1 | no | — |
| 156 | Q8×D13 | — | 2 | 1 | no | — |
| 157 | #6129 | — | 2 | 1 | no | — |
| 158 | #6129 | — | 2 | 1 | no | — |
| 159 | #6129 | — | 2 | 1 | no | — |
| 160 | #6129 | — | 2 | 1 | no | — |
| 161 | #6129 | — | 4 | 1 | no | — |
| 162 | #6129 | — | 4 | 1 | no | — |
| 163 | #6129 | — | 4 | 1 | no | — |
| 164 | #6129 | — | 4 | 1 | no | — |
| 165 | D4×D13 | — | 2 | 1 | no | — |
| 166 | D4×D13 | — | 2 | 1 | no | — |
| 167 | D4×D13 | — | 2 | 1 | no | — |
| 168 | D4×D13 | — | 2 | 1 | no | — |
| 169 | D4×D13 | — | 4 | 1 | no | — |
| 170 | D4×D13 | — | 4 | 1 | no | — |
| 171 | D4×D13 | — | 4 | 1 | no | — |
| 172 | D4×D13 | — | 4 | 1 | no | — |
| 173 | #6127 | — | 2 | 1 | no | — |
| 174 | #6127 | — | 2 | 1 | no | — |
| 175 | #6127 | — | 2 | 1 | no | — |
| 176 | #6127 | — | 2 | 1 | no | — |
| 177 | #6127 | — | 4 | 1 | no | — |
| 178 | #6127 | — | 4 | 1 | no | — |
| 179 | #6127 | — | 4 | 1 | no | — |
| 180 | #6127 | — | 4 | 1 | no | — |
| 181 | C2×D52 | — | 2 | 1 | no | — |
| 182 | C2×D52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 183 | C2×C4×D13 | — | 2 | 1 | no | — |
| 184 | C2×C4×D13 | — | 2 | 1 | no | — |
| 185 | C2×C4×D13 | — | 2 | 1 | no | — |
| 186 | C2×C4×D13 | — | 4 | 1 | no | — |
| 187 | C2×C4×D13 | — | 4 | 1 | no | — |
| 188 | C2×C4×D13 | — | 4 | 1 | no | — |
| 189 | C2×C4×D13 | — | 4 | 1 | no | — |
| 190 | C2×C4×D13 | — | 4 | 2 | no | — |
| 191 | C2×C4×D13 | — | 4 | 2 | no | — |
| 192 | C2×C4×D13 | — | 4 | 1 | no | — |
| 193 | C2×C4×D13 | — | 4 | 1 | no | — |
| 194 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 200 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 201 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 202 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 203 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 204 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 205 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 206 | C2×Dic26 | — | 2 | 1 | no | — |
| 207 | C2×Dic26 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 208 | C22⋊#261 | — | 4 | 1 | no | — |
| 209 | C22⋊#261 | — | 4 | 1 | no | — |
| 210 | C22⋊#261 | — | 8 | 2 | no | — |
| 211 | C22⋊#261 | — | 8 | 2 | no | — |
| 212 | #6122 | — | 2 | 2 | no | — |
| 213 | #6122 | — | 4 | 1 | no | — |
| 214 | C2×#1057 | — | 4 | 1 | no | — |
| 215 | C4⋊#261 | — | 2 | 1 | no | — |
| 216 | C4⋊#261 | — | 2 | 1 | no | — |
| 217 | C4⋊#261 | — | 2 | 1 | no | — |
| 218 | C4⋊#261 | — | 2 | 1 | no | — |
| 219 | C4⋊#261 | — | 4 | 1 | no | — |
| 220 | C4⋊#261 | — | 4 | 1 | no | — |
| 221 | C4⋊#261 | — | 4 | 1 | no | — |
| 222 | C4⋊#261 | — | 4 | 1 | no | — |
| 223 | C4×#261 | — | 2 | 2 | no | — |
| 224 | C4×#261 | — | 2 | 2 | no | — |
| 225 | C4×#261 | — | 4 | 1 | no | — |
| 226 | C4×#261 | — | 4 | 1 | no | — |
| 227 | C4×#261 | — | 4 | 1 | no | — |
| 228 | C4×#261 | — | 4 | 1 | no | — |
| 229 | #6118 | — | 2 | 2 | no | — |
| 230 | #6118 | — | 4 | 1 | no | — |
| 231 | D13⋊C8 | — | 2 | 2 | no | — |
| 232 | D13⋊C8 | — | 4 | 1 | no | — |
| 233 | C13×M16 | — | 2 | 1 | no | — |
| 234 | C13×M16 | — | 2 | 1 | no | — |
| 235 | C2×C8×C13 | — | 2 | 1 | no | — |
| 236 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 237 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 238 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 239 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 240 | #6101 | — | 4 | 1 | no | — |
| 241 | #6101 | — | 4 | 1 | no | — |
| 242 | #6099 | — | 2 | 1 | no | — |
| 243 | #6099 | — | 2 | 1 | no | — |
| 244 | C2×#1055 | — | 2 | 1 | no | — |
| 245 | #6094 | — | 4 | 1 | no | — |
| 246 | #6094 | — | 4 | 1 | no | — |
| 247 | C8×D13 | — | 4 | 1 | no | — |
| 248 | C8×D13 | — | 4 | 1 | no | — |
| 249 | C22×#104 | — | 13 | 1 | no | — |
| 250 | C2×#417 | — | 13 | 1 | no | — |
| 251 | #2311 | — | 13 | 1 | no | — |
| 252 | C2×#343 | — | 13 | 1 | no | — |
| 253 | #1736 | — | 13 | 1 | no | — |
| 254 | C2×#339 | — | 13 | 1 | no | — |
| 255 | C4⋊#95 | — | 13 | 1 | no | — |
| 256 | C23×C13 | — | 2 | 1 | no | — |
| 257 | C23×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 258 | C22×D13 | — | 2 | 1 | no | — |
| 259 | C22×D13 | — | 2 | 1 | no | — |
| 260 | C22×D13 | — | 2 | 1 | no | — |
| 261 | C22×D13 | — | 2 | 1 | no | — |
| 262 | C22×D13 | — | 2 | 1 | no | — |
| 263 | C22×D13 | — | 4 | 1 | no | — |
| 264 | C22×D13 | — | 4 | 1 | no | — |
| 265 | C22×D13 | — | 4 | 1 | no | — |
| 266 | C22×D13 | — | 4 | 1 | no | — |
| 267 | C22×D13 | — | 4 | 1 | no | — |
| 268 | C22×D13 | — | 4 | 1 | no | — |
| 269 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 270 | C22×D13 | #121 | 1 | 1 | yes | characteristic |
| 271 | C22×D13 | #121 | 1 | 1 | yes | characteristic |
| 272 | C22×D13 | #121 | 1 | 1 | yes | characteristic |
| 273 | C22×D13 | #123 | 1 | 1 | yes | characteristic |
| 274 | C22×D13 | #124 | 1 | 1 | yes | characteristic |
| 275 | C2×#261 | — | 2 | 4 | no | — |
| 276 | C2×#261 | — | 4 | 2 | no | — |
| 277 | C2×#261 | — | 4 | 2 | no | — |
| 278 | C2×#261 | — | 4 | 2 | no | — |
| 279 | C2×#261 | — | 4 | 2 | no | — |
| 280 | C2×#261 | — | 4 | 2 | no | — |
| 281 | C2×#261 | — | 4 | 2 | no | — |
| 282 | C2×#261 | — | 4 | 4 | no | — |
| 283 | C2×#261 | — | 4 | 1 | no | — |
| 284 | C2×#261 | — | 4 | 1 | no | — |
| 285 | C2×#261 | — | 4 | 2 | no | — |
| 286 | C2×#261 | — | 4 | 1 | no | — |
| 287 | C2×#261 | — | 4 | 2 | no | — |
| 288 | C2×#261 | — | 4 | 1 | no | — |
| 289 | C2×#261 | — | 4 | 1 | no | — |
| 290 | C2×#261 | — | 4 | 2 | no | — |
| 291 | C2×#261 | — | 4 | 1 | no | — |
| 292 | C2×#261 | — | 8 | 2 | no | — |
| 293 | Q8×C13 | — | 2 | 1 | no | — |
| 294 | Q8×C13 | — | 2 | 1 | no | — |
| 295 | D4×C13 | — | 2 | 1 | no | — |
| 296 | D4×C13 | — | 2 | 1 | no | — |
| 297 | D4×C13 | — | 4 | 1 | no | — |
| 298 | D4×C13 | — | 4 | 1 | no | — |
| 299 | C2×C4×C13 | — | 2 | 1 | no | — |
| 300 | C2×C4×C13 | — | 4 | 1 | no | — |
| 301 | C2×C4×C13 | — | 4 | 1 | no | — |
| 302 | C2×C4×C13 | — | 4 | 2 | no | — |
| 303 | C2×C4×C13 | — | 4 | 1 | no | — |
| 304 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 305 | C2×C4×C13 | #117 | 1 | 1 | yes | characteristic |
| 306 | C2×C4×C13 | #117 | 1 | 1 | yes | characteristic |
| 307 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 308 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 309 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 310 | C22⋊D13 | — | 4 | 1 | no | — |
| 311 | C22⋊D13 | — | 4 | 1 | no | — |
| 312 | C22⋊D13 | — | 4 | 1 | no | — |
| 313 | C22⋊D13 | — | 4 | 1 | no | — |
| 314 | C22⋊D13 | — | 4 | 1 | no | — |
| 315 | C22⋊D13 | — | 4 | 1 | no | — |
| 316 | C2×Dic13 | — | 2 | 1 | no | — |
| 317 | C2×Dic13 | — | 4 | 1 | no | — |
| 318 | C2×Dic13 | — | 4 | 1 | no | — |
| 319 | C2×Dic13 | — | 4 | 2 | no | — |
| 320 | C2×Dic13 | — | 4 | 1 | no | — |
| 321 | C2×Dic13 | #121 | 1 | 1 | yes | characteristic |
| 322 | C2×Dic13 | #123 | 1 | 1 | yes | characteristic |
| 323 | C2×Dic13 | #123 | 1 | 1 | yes | characteristic |
| 324 | C2×Dic13 | #124 | 1 | 1 | yes | characteristic |
| 325 | C2×Dic13 | #126 | 1 | 1 | yes | characteristic |
| 326 | C2×Dic13 | #126 | 1 | 1 | yes | characteristic |
| 327 | D52 | — | 2 | 1 | no | — |
| 328 | D52 | — | 2 | 1 | no | — |
| 329 | D52 | — | 4 | 1 | no | — |
| 330 | D52 | — | 4 | 1 | no | — |
| 331 | C4×D13 | — | 4 | 1 | no | — |
| 332 | C4×D13 | — | 4 | 1 | no | — |
| 333 | C4×D13 | — | 4 | 1 | no | — |
| 334 | C4×D13 | — | 4 | 1 | no | — |
| 335 | C4×D13 | — | 4 | 1 | no | — |
| 336 | C4×D13 | — | 4 | 1 | no | — |
| 337 | C4×D13 | — | 8 | 2 | no | — |
| 338 | C4×D13 | — | 8 | 1 | no | — |
| 339 | C4×D13 | — | 8 | 1 | no | — |
| 340 | C4×D13 | #120 | 1 | 1 | yes | characteristic |
| 341 | C4×D13 | #121 | 1 | 1 | yes | characteristic |
| 342 | C4×D13 | #121 | 1 | 1 | yes | characteristic |
| 343 | C4×D13 | #121 | 1 | 1 | yes | characteristic |
| 344 | C4×D13 | #121 | 1 | 1 | yes | characteristic |
| 345 | C4×D13 | #123 | 1 | 1 | yes | characteristic |
| 346 | C4×D13 | #123 | 1 | 1 | yes | characteristic |
| 347 | C4×D13 | #123 | 1 | 1 | yes | characteristic |
| 348 | C4×D13 | #123 | 1 | 1 | yes | characteristic |
| 349 | C4×D13 | #123 | 1 | 1 | yes | characteristic |
| 350 | C4×D13 | #123 | 1 | 1 | yes | characteristic |
| 351 | C4×D13 | #123 | 1 | 1 | yes | characteristic |
| 352 | C4×D13 | #124 | 1 | 1 | yes | characteristic |
| 353 | C4×D13 | #124 | 1 | 1 | yes | characteristic |
| 354 | C4×D13 | #126 | 1 | 1 | yes | characteristic |
| 355 | C4×D13 | #126 | 1 | 1 | yes | characteristic |
| 356 | Dic26 | — | 2 | 1 | no | — |
| 357 | Dic26 | — | 2 | 1 | no | — |
| 358 | Dic26 | — | 4 | 1 | no | — |
| 359 | Dic26 | — | 4 | 1 | no | — |
| 360 | #1057 | — | 4 | 2 | no | — |
| 361 | C8×C13 | — | 4 | 1 | no | — |
| 362 | #1055 | — | 4 | 1 | no | — |
| 363 | C22×#41 | — | 13 | 1 | no | — |
| 364 | C22×M16 | — | 13 | 1 | no | — |
| 365 | C22×M16 | — | 13 | 1 | no | — |
| 366 | C2×#117 | — | 13 | 1 | no | — |
| 367 | C22×C4⋊C4 | — | 13 | 1 | no | — |
| 368 | C22×C4⋊C4 | — | 13 | 1 | no | — |
| 369 | C22×C42 | — | 13 | 1 | no | — |
| 370 | C2×#104 | — | 26 | 2 | no | — |
| 371 | C2×#104 | — | 26 | 2 | no | — |
| 372 | C2×#104 | — | 26 | 1 | no | — |
| 373 | C2×#104 | — | 26 | 1 | no | — |
| 374 | #417 | — | 13 | 1 | no | — |
| 375 | #417 | — | 13 | 1 | no | — |
| 376 | #417 | — | 13 | 1 | no | — |
| 377 | #417 | — | 26 | 1 | no | — |
| 378 | #417 | — | 26 | 1 | no | — |
| 379 | #417 | #261 | 1 | 1 | yes | characteristic, complemented |
| 380 | C2×#103 | — | 26 | 1 | no | — |
| 381 | C2×#102 | — | 26 | 1 | no | — |
| 382 | #391 | — | 26 | 1 | no | — |
| 383 | #390 | — | 26 | 1 | no | — |
| 384 | #386 | — | 26 | 2 | no | — |
| 385 | #380 | — | 26 | 1 | no | — |
| 386 | #380 | — | 26 | 1 | no | — |
| 387 | C2×#95 | — | 26 | 2 | no | — |
| 388 | #343 | — | 26 | 2 | no | — |
| 389 | #340 | — | 26 | 1 | no | — |
| 390 | #340 | — | 26 | 1 | no | — |
| 391 | #339 | — | 26 | 2 | no | — |
| 392 | C22×C13 | — | 2 | 1 | no | — |
| 393 | C22×C13 | — | 2 | 1 | no | — |
| 394 | C22×C13 | — | 4 | 1 | no | — |
| 395 | C22×C13 | — | 4 | 1 | no | — |
| 396 | C22×C13 | — | 4 | 1 | no | — |
| 397 | C22×C13 | #386 | 1 | 1 | yes | characteristic |
| 398 | C22×C13 | #388 | 1 | 1 | yes | characteristic |
| 399 | C22×C13 | #388 | 1 | 1 | yes | characteristic |
| 400 | C2×D13 | — | 2 | 1 | no | — |
| 401 | C2×D13 | — | 2 | 1 | no | — |
| 402 | C2×D13 | — | 2 | 1 | no | — |
| 403 | C2×D13 | — | 2 | 1 | no | — |
| 404 | C2×D13 | — | 2 | 1 | no | — |
| 405 | C2×D13 | — | 2 | 1 | no | — |
| 406 | C2×D13 | — | 2 | 1 | no | — |
| 407 | C2×D13 | — | 2 | 1 | no | — |
| 408 | C2×D13 | — | 2 | 1 | no | — |
| 409 | C2×D13 | — | 2 | 1 | no | — |
| 410 | C2×D13 | — | 4 | 1 | no | — |
| 411 | C2×D13 | — | 4 | 1 | no | — |
| 412 | C2×D13 | — | 4 | 1 | no | — |
| 413 | C2×D13 | — | 8 | 1 | no | — |
| 414 | C2×D13 | — | 8 | 1 | no | — |
| 415 | C2×D13 | — | 8 | 1 | no | — |
| 416 | C2×D13 | — | 8 | 1 | no | — |
| 417 | C2×D13 | #394 | 1 | 1 | yes | characteristic |
| 418 | C2×D13 | #394 | 1 | 1 | yes | characteristic |
| 419 | C2×D13 | #394 | 1 | 1 | yes | characteristic |
| 420 | C2×D13 | #397 | 1 | 1 | yes | characteristic |
| 421 | C2×D13 | #453 | 1 | 1 | yes | characteristic |
| 422 | C2×D13 | #454 | 1 | 1 | yes | characteristic |
| 423 | C2×D13 | #455 | 1 | 1 | yes | characteristic |
| 424 | C2×D13 | #456 | 1 | 1 | yes | characteristic |
| 425 | #261 | — | 4 | 4 | no | — |
| 426 | #261 | — | 8 | 2 | no | — |
| 427 | #261 | — | 8 | 1 | no | — |
| 428 | #261 | — | 8 | 1 | no | — |
| 429 | C4×C13 | — | 4 | 1 | no | — |
| 430 | C4×C13 | — | 8 | 1 | no | — |
| 431 | C4×C13 | #381 | 1 | 1 | yes | characteristic |
| 432 | C4×C13 | #386 | 1 | 1 | yes | characteristic |
| 433 | C4×C13 | #388 | 1 | 1 | yes | characteristic |
| 434 | C4×C13 | #388 | 1 | 1 | yes | characteristic |
| 435 | Dic13 | — | 4 | 1 | no | — |
| 436 | Dic13 | — | 8 | 1 | no | — |
| 437 | Dic13 | #394 | 1 | 1 | yes | characteristic |
| 438 | Dic13 | #397 | 1 | 1 | yes | characteristic |
| 439 | Dic13 | #397 | 1 | 1 | yes | characteristic |
| 440 | Dic13 | #397 | 1 | 1 | yes | characteristic |
| 441 | C2×#41 | — | 13 | 1 | no | — |
| 442 | C2×#41 | — | 13 | 1 | no | — |
| 443 | C2×#41 | — | 13 | 1 | no | — |
| 444 | C2×#41 | — | 26 | 1 | no | — |
| 445 | C2×#41 | — | 26 | 1 | no | — |
| 446 | C2×#41 | — | 26 | 1 | no | — |
| 447 | C2×#41 | — | 26 | 1 | no | — |
| 448 | C2×#41 | — | 26 | 1 | no | — |
| 449 | C2×#41 | — | 26 | 1 | no | — |
| 450 | C2×#41 | — | 26 | 1 | no | — |
| 451 | C2×#41 | — | 26 | 1 | no | — |
| 452 | C2×#41 | — | 26 | 1 | no | — |
| 453 | C2×#41 | — | 26 | 1 | no | — |
| 454 | C2×#41 | C2×#261 | 1 | 1 | yes | characteristic |
| 455 | C22×Q8 | — | 13 | 1 | no | — |
| 456 | C22×D4 | — | 13 | 1 | no | — |
| 457 | C22×D4 | — | 26 | 1 | no | — |
| 458 | C23×C4 | — | 13 | 1 | no | — |
| 459 | C23×C4 | — | 13 | 2 | no | — |
| 460 | C23×C4 | — | 26 | 1 | no | — |
| 461 | C23×C4 | — | 26 | 1 | no | — |
| 462 | C23×C4 | — | 26 | 1 | no | — |
| 463 | C2×M16 | — | 13 | 2 | no | — |
| 464 | C2×M16 | — | 13 | 1 | no | — |
| 465 | C2×M16 | — | 26 | 1 | no | — |
| 466 | C2×M16 | — | 26 | 1 | no | — |
| 467 | C2×M16 | — | 26 | 1 | no | — |
| 468 | C2×M16 | — | 26 | 1 | no | — |
| 469 | C2×M16 | — | 26 | 1 | no | — |
| 470 | C2×M16 | — | 26 | 1 | no | — |
| 471 | C2×M16 | — | 26 | 1 | no | — |
| 472 | C2×M16 | — | 26 | 1 | no | — |
| 473 | C2×M16 | — | 26 | 1 | no | — |
| 474 | C2×M16 | — | 26 | 1 | no | — |
| 475 | C2×M16 | C2×#261 | 1 | 1 | yes | characteristic |
| 476 | C22×C8 | — | 26 | 1 | no | — |
| 477 | C22×C8 | — | 26 | 1 | no | — |
| 478 | #117 | — | 26 | 1 | no | — |
| 479 | #117 | — | 26 | 1 | no | — |
| 480 | #117 | — | 26 | 1 | no | — |
| 481 | #117 | — | 26 | 1 | no | — |
| 482 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 483 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 484 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 485 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 486 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 487 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 488 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 489 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 490 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 491 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 492 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 493 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 494 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 495 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 496 | C2×C4⋊C4 | C2×#261 | 1 | 1 | yes | characteristic |
| 497 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 498 | C2×C22⋊C4 | — | 26 | 2 | no | — |
| 499 | C2×C22⋊C4 | — | 26 | 2 | no | — |
| 500 | C2×C42 | — | 13 | 2 | no | — |
| 501 | C2×C42 | — | 26 | 1 | no | — |
| 502 | C2×C42 | — | 26 | 1 | no | — |
| 503 | C2×C42 | — | 26 | 1 | no | — |
| 504 | C2×C42 | — | 26 | 1 | no | — |
| 505 | C2×C42 | — | 26 | 1 | no | — |
| 506 | C2×C42 | — | 26 | 1 | no | — |
| 507 | #104 | — | 26 | 4 | no | — |
| 508 | #104 | — | 26 | 4 | no | — |
| 509 | #103 | — | 2 | 1 | no | — |
| 510 | #103 | — | 26 | 1 | no | — |
| 511 | #103 | — | 26 | 1 | no | — |
| 512 | #103 | — | 26 | 1 | no | — |
| 513 | #102 | — | 2 | 1 | no | — |
| 514 | #102 | — | 26 | 1 | no | — |
| 515 | #102 | — | 26 | 1 | no | — |
| 516 | #102 | — | 26 | 1 | no | — |
| 517 | #95 | — | 26 | 2 | no | — |
| 518 | #95 | — | 26 | 2 | no | — |
| 519 | #95 | — | 52 | 4 | no | — |
| 520 | C2×C13 | — | 2 | 1 | no | — |
| 521 | C2×C13 | — | 2 | 1 | no | — |
| 522 | C2×C13 | — | 8 | 1 | no | — |
| 523 | C2×C13 | #1440 | 1 | 1 | yes | characteristic |
| 524 | C2×C13 | #1882 | 1 | 1 | yes | characteristic |
| 525 | C2×C13 | #1883 | 1 | 1 | yes | characteristic |
| 526 | D13 | — | 2 | 1 | no | — |
| 527 | D13 | — | 2 | 1 | no | — |
| 528 | D13 | — | 8 | 1 | no | — |
| 529 | D13 | #2037 | 1 | 1 | yes | characteristic |
| 530 | D13 | #2038 | 1 | 1 | yes | characteristic |
| 531 | D13 | #2039 | 1 | 1 | yes | characteristic |
| 532 | D13 | #2040 | 1 | 1 | yes | characteristic |
| 533 | C24 | — | 13 | 1 | no | — |
| 534 | C24 | — | 26 | 1 | no | — |
| 535 | #41 | — | 2 | 1 | no | — |
| 536 | #41 | — | 2 | 1 | no | — |
| 537 | #41 | — | 2 | 1 | no | — |
| 538 | #41 | — | 2 | 1 | no | — |
| 539 | #41 | — | 26 | 1 | no | — |
| 540 | #41 | — | 26 | 1 | no | — |
| 541 | #41 | — | 26 | 1 | no | — |
| 542 | #41 | — | 26 | 1 | no | — |
| 543 | #41 | — | 26 | 1 | no | — |
| 544 | #41 | — | 26 | 1 | no | — |
| 545 | #41 | — | 26 | 1 | no | — |
| 546 | #41 | — | 26 | 1 | no | — |
| 547 | #41 | — | 26 | 1 | no | — |
| 548 | #41 | — | 26 | 1 | no | — |
| 549 | #41 | — | 26 | 1 | no | — |
| 550 | #41 | — | 26 | 1 | no | — |
| 551 | #41 | — | 52 | 1 | no | — |
| 552 | #41 | — | 52 | 1 | no | — |
| 553 | #41 | — | 52 | 1 | no | — |
| 554 | #41 | — | 52 | 1 | no | — |
| 555 | #41 | — | 52 | 1 | no | — |
| 556 | #41 | — | 52 | 1 | no | — |
| 557 | #41 | — | 52 | 1 | no | — |
| 558 | #41 | — | 52 | 1 | no | — |
| 559 | C2×Q8 | — | 13 | 1 | no | — |
| 560 | C2×Q8 | — | 26 | 1 | no | — |
| 561 | C2×Q8 | — | 26 | 1 | no | — |
| 562 | C2×Q8 | — | 26 | 1 | no | — |
| 563 | C2×Q8 | — | 26 | 1 | no | — |
| 564 | C2×Q8 | — | 26 | 1 | no | — |
| 565 | C2×Q8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 566 | C2×D4 | — | 2 | 1 | no | — |
| 567 | C2×D4 | — | 13 | 1 | no | — |
| 568 | C2×D4 | — | 26 | 1 | no | — |
| 569 | C2×D4 | — | 26 | 1 | no | — |
| 570 | C2×D4 | — | 26 | 1 | no | — |
| 571 | C2×D4 | — | 26 | 1 | no | — |
| 572 | C2×D4 | — | 26 | 1 | no | — |
| 573 | C2×D4 | — | 26 | 1 | no | — |
| 574 | C2×D4 | — | 26 | 1 | no | — |
| 575 | C2×D4 | — | 26 | 1 | no | — |
| 576 | C2×D4 | — | 52 | 1 | no | — |
| 577 | C2×D4 | — | 52 | 1 | no | — |
| 578 | C2×D4 | — | 52 | 1 | no | — |
| 579 | C2×D4 | — | 52 | 1 | no | — |
| 580 | C2×D4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 581 | C22×C4 | — | 2 | 1 | no | — |
| 582 | C22×C4 | — | 2 | 1 | no | — |
| 583 | C22×C4 | — | 13 | 1 | no | — |
| 584 | C22×C4 | — | 13 | 1 | no | — |
| 585 | C22×C4 | — | 13 | 1 | no | — |
| 586 | C22×C4 | — | 13 | 1 | no | — |
| 587 | C22×C4 | — | 13 | 1 | no | — |
| 588 | C22×C4 | — | 13 | 1 | no | — |
| 589 | C22×C4 | — | 13 | 1 | no | — |
| 590 | C22×C4 | — | 13 | 1 | no | — |
| 591 | C22×C4 | — | 13 | 1 | no | — |
| 592 | C22×C4 | — | 13 | 1 | no | — |
| 593 | C22×C4 | — | 13 | 1 | no | — |
| 594 | C22×C4 | — | 13 | 1 | no | — |
| 595 | C22×C4 | — | 13 | 1 | no | — |
| 596 | C22×C4 | — | 26 | 1 | no | — |
| 597 | C22×C4 | — | 26 | 1 | no | — |
| 598 | C22×C4 | — | 26 | 1 | no | — |
| 599 | C22×C4 | — | 26 | 2 | no | — |
| 600 | C22×C4 | — | 26 | 2 | no | — |
| 601 | C22×C4 | — | 26 | 2 | no | — |
| 602 | C22×C4 | — | 26 | 1 | no | — |
| 603 | C22×C4 | — | 26 | 1 | no | — |
| 604 | C22×C4 | — | 26 | 1 | no | — |
| 605 | C22×C4 | — | 26 | 2 | no | — |
| 606 | C22×C4 | — | 26 | 2 | no | — |
| 607 | C22×C4 | — | 26 | 1 | no | — |
| 608 | C22×C4 | — | 26 | 2 | no | — |
| 609 | C22×C4 | — | 52 | 1 | no | — |
| 610 | C22×C4 | — | 52 | 1 | no | — |
| 611 | C22×C4 | — | 52 | 1 | no | — |
| 612 | C22×C4 | — | 52 | 1 | no | — |
| 613 | C22×C4 | — | 52 | 1 | no | — |
| 614 | C22×C4 | — | 52 | 1 | no | — |
| 615 | C22×C4 | — | 52 | 2 | no | — |
| 616 | C22×C4 | — | 52 | 2 | no | — |
| 617 | C22×C4 | — | 52 | 1 | no | — |
| 618 | C22×C4 | — | 52 | 1 | no | — |
| 619 | C22×C4 | — | 52 | 1 | no | — |
| 620 | C22×C4 | — | 52 | 1 | no | — |
| 621 | C22×C4 | — | 52 | 2 | no | — |
| 622 | C22×C4 | — | 52 | 2 | no | — |
| 623 | C22×C4 | C22×#261 | 1 | 1 | yes | characteristic |
| 624 | M16 | — | 2 | 1 | no | — |
| 625 | M16 | — | 2 | 1 | no | — |
| 626 | M16 | — | 26 | 2 | no | — |
| 627 | M16 | — | 26 | 2 | no | — |
| 628 | M16 | — | 26 | 1 | no | — |
| 629 | M16 | — | 26 | 1 | no | — |
| 630 | M16 | — | 52 | 1 | no | — |
| 631 | M16 | — | 52 | 1 | no | — |
| 632 | M16 | — | 52 | 1 | no | — |
| 633 | M16 | — | 52 | 1 | no | — |
| 634 | C2×C8 | — | 2 | 1 | no | — |
| 635 | C2×C8 | — | 26 | 2 | no | — |
| 636 | C2×C8 | — | 26 | 1 | no | — |
| 637 | C2×C8 | — | 52 | 1 | no | — |
| 638 | C2×C8 | — | 52 | 1 | no | — |
| 639 | C2×C8 | — | 52 | 1 | no | — |
| 640 | C2×C8 | — | 52 | 1 | no | — |
| 641 | C4⋊C4 | — | 2 | 1 | no | — |
| 642 | C4⋊C4 | — | 2 | 1 | no | — |
| 643 | C4⋊C4 | — | 26 | 1 | no | — |
| 644 | C4⋊C4 | — | 26 | 1 | no | — |
| 645 | C4⋊C4 | — | 26 | 1 | no | — |
| 646 | C4⋊C4 | — | 26 | 1 | no | — |
| 647 | C4⋊C4 | — | 26 | 1 | no | — |
| 648 | C4⋊C4 | — | 26 | 1 | no | — |
| 649 | C4⋊C4 | — | 52 | 1 | no | — |
| 650 | C4⋊C4 | — | 52 | 1 | no | — |
| 651 | C4⋊C4 | — | 52 | 1 | no | — |
| 652 | C4⋊C4 | — | 52 | 1 | no | — |
| 653 | C4⋊C4 | — | 52 | 1 | no | — |
| 654 | C4⋊C4 | — | 52 | 1 | no | — |
| 655 | C22⋊C4 | — | 52 | 1 | no | — |
| 656 | C22⋊C4 | — | 52 | 1 | no | — |
| 657 | C22⋊C4 | — | 104 | 2 | no | — |
| 658 | C22⋊C4 | — | 104 | 2 | no | — |
| 659 | C42 | — | 26 | 2 | no | — |
| 660 | C42 | — | 26 | 2 | no | — |
| 661 | C42 | — | 52 | 1 | no | — |
| 662 | C42 | — | 52 | 1 | no | — |
| 663 | C42 | — | 52 | 1 | no | — |
| 664 | C42 | — | 52 | 1 | no | — |
| 665 | C13 | #11195 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 666 | C23 | — | 2 | 1 | no | — |
| 667 | C23 | — | 13 | 1 | no | — |
| 668 | C23 | — | 13 | 1 | no | — |
| 669 | C23 | — | 13 | 1 | no | — |
| 670 | C23 | — | 13 | 1 | no | — |
| 671 | C23 | — | 13 | 1 | no | — |
| 672 | C23 | — | 13 | 1 | no | — |
| 673 | C23 | — | 26 | 1 | no | — |
| 674 | C23 | — | 26 | 1 | no | — |
| 675 | C23 | — | 26 | 1 | no | — |
| 676 | C23 | — | 26 | 1 | no | — |
| 677 | C23 | — | 26 | 1 | no | — |
| 678 | C23 | — | 52 | 1 | no | — |
| 679 | C23 | — | 52 | 1 | no | — |
| 680 | C23 | — | 52 | 1 | no | — |
| 681 | C23 | — | 52 | 1 | no | — |
| 682 | C23 | — | 52 | 1 | no | — |
| 683 | C23 | — | 52 | 1 | no | — |
| 684 | C23 | D4×#261 | 1 | 1 | yes | characteristic |
| 685 | Q8 | — | 2 | 1 | no | — |
| 686 | Q8 | — | 2 | 1 | no | — |
| 687 | Q8 | — | 26 | 1 | no | — |
| 688 | Q8 | — | 26 | 1 | no | — |
| 689 | Q8 | — | 52 | 1 | no | — |
| 690 | Q8 | — | 52 | 1 | no | — |
| 691 | D4 | — | 2 | 1 | no | — |
| 692 | D4 | — | 2 | 1 | no | — |
| 693 | D4 | — | 4 | 1 | no | — |
| 694 | D4 | — | 4 | 1 | no | — |
| 695 | D4 | — | 26 | 1 | no | — |
| 696 | D4 | — | 26 | 1 | no | — |
| 697 | D4 | — | 52 | 1 | no | — |
| 698 | D4 | — | 52 | 1 | no | — |
| 699 | D4 | — | 52 | 1 | no | — |
| 700 | D4 | — | 52 | 1 | no | — |
| 701 | D4 | — | 52 | 1 | no | — |
| 702 | D4 | — | 52 | 1 | no | — |
| 703 | D4 | — | 52 | 1 | no | — |
| 704 | D4 | — | 52 | 1 | no | — |
| 705 | C2×C4 | — | 2 | 1 | no | — |
| 706 | C2×C4 | — | 4 | 1 | no | — |
| 707 | C2×C4 | — | 4 | 1 | no | — |
| 708 | C2×C4 | — | 4 | 2 | no | — |
| 709 | C2×C4 | — | 4 | 1 | no | — |
| 710 | C2×C4 | — | 13 | 1 | no | — |
| 711 | C2×C4 | — | 13 | 1 | no | — |
| 712 | C2×C4 | — | 13 | 1 | no | — |
| 713 | C2×C4 | — | 13 | 1 | no | — |
| 714 | C2×C4 | — | 13 | 1 | no | — |
| 715 | C2×C4 | — | 13 | 1 | no | — |
| 716 | C2×C4 | — | 13 | 1 | no | — |
| 717 | C2×C4 | — | 13 | 1 | no | — |
| 718 | C2×C4 | — | 13 | 1 | no | — |
| 719 | C2×C4 | — | 13 | 1 | no | — |
| 720 | C2×C4 | — | 13 | 1 | no | — |
| 721 | C2×C4 | — | 13 | 1 | no | — |
| 722 | C2×C4 | — | 13 | 1 | no | — |
| 723 | C2×C4 | — | 13 | 1 | no | — |
| 724 | C2×C4 | — | 13 | 1 | no | — |
| 725 | C2×C4 | — | 13 | 1 | no | — |
| 726 | C2×C4 | — | 13 | 1 | no | — |
| 727 | C2×C4 | — | 13 | 1 | no | — |
| 728 | C2×C4 | — | 13 | 1 | no | — |
| 729 | C2×C4 | — | 13 | 1 | no | — |
| 730 | C2×C4 | — | 13 | 1 | no | — |
| 731 | C2×C4 | — | 13 | 1 | no | — |
| 732 | C2×C4 | — | 26 | 4 | no | — |
| 733 | C2×C4 | — | 26 | 1 | no | — |
| 734 | C2×C4 | — | 52 | 1 | no | — |
| 735 | C2×C4 | — | 52 | 1 | no | — |
| 736 | C2×C4 | — | 52 | 1 | no | — |
| 737 | C2×C4 | — | 52 | 1 | no | — |
| 738 | C2×C4 | — | 52 | 1 | no | — |
| 739 | C2×C4 | — | 52 | 1 | no | — |
| 740 | C2×C4 | — | 52 | 2 | no | — |
| 741 | C2×C4 | — | 52 | 2 | no | — |
| 742 | C2×C4 | — | 52 | 2 | no | — |
| 743 | C2×C4 | — | 52 | 2 | no | — |
| 744 | C2×C4 | — | 52 | 2 | no | — |
| 745 | C2×C4 | — | 52 | 2 | no | — |
| 746 | C2×C4 | — | 52 | 1 | no | — |
| 747 | C2×C4 | — | 52 | 1 | no | — |
| 748 | C2×C4 | — | 52 | 2 | no | — |
| 749 | C2×C4 | — | 52 | 1 | no | — |
| 750 | C2×C4 | — | 52 | 1 | no | — |
| 751 | C2×C4 | — | 52 | 1 | no | — |
| 752 | C2×C4 | — | 52 | 1 | no | — |
| 753 | C2×C4 | — | 52 | 2 | no | — |
| 754 | C2×C4 | — | 52 | 2 | no | — |
| 755 | C2×C4 | — | 52 | 2 | no | — |
| 756 | C2×C4 | — | 52 | 1 | no | — |
| 757 | C2×C4 | — | 52 | 1 | no | — |
| 758 | C2×C4 | — | 52 | 4 | no | — |
| 759 | C2×C4 | — | 52 | 1 | no | — |
| 760 | C2×C4 | — | 104 | 1 | no | — |
| 761 | C2×C4 | — | 104 | 1 | no | — |
| 762 | C2×C4 | — | 104 | 2 | no | — |
| 763 | C2×C4 | — | 104 | 2 | no | — |
| 764 | C2×C4 | #88237 | 1 | 1 | yes | characteristic |
| 765 | C2×C4 | #88237 | 1 | 1 | yes | characteristic |
| 766 | C2×C4 | D4×#261 | 1 | 1 | yes | characteristic |
| 767 | C2×C4 | D4×#261 | 1 | 1 | yes | characteristic |
| 768 | C2×C4 | D4×#261 | 1 | 1 | yes | characteristic |
| 769 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 770 | C8 | — | 4 | 1 | no | — |
| 771 | C8 | — | 52 | 2 | no | — |
| 772 | C8 | — | 52 | 1 | no | — |
| 773 | C22 | — | 2 | 1 | no | — |
| 774 | C22 | — | 2 | 1 | no | — |
| 775 | C22 | — | 4 | 1 | no | — |
| 776 | C22 | — | 4 | 1 | no | — |
| 777 | C22 | — | 4 | 1 | no | — |
| 778 | C22 | — | 13 | 1 | no | — |
| 779 | C22 | — | 13 | 1 | no | — |
| 780 | C22 | — | 13 | 1 | no | — |
| 781 | C22 | — | 13 | 1 | no | — |
| 782 | C22 | — | 13 | 1 | no | — |
| 783 | C22 | — | 13 | 1 | no | — |
| 784 | C22 | — | 13 | 1 | no | — |
| 785 | C22 | — | 13 | 1 | no | — |
| 786 | C22 | — | 26 | 1 | no | — |
| 787 | C22 | — | 26 | 1 | no | — |
| 788 | C22 | — | 26 | 1 | no | — |
| 789 | C22 | — | 26 | 1 | no | — |
| 790 | C22 | — | 26 | 1 | no | — |
| 791 | C22 | — | 26 | 1 | no | — |
| 792 | C22 | — | 26 | 1 | no | — |
| 793 | C22 | — | 26 | 1 | no | — |
| 794 | C22 | — | 26 | 1 | no | — |
| 795 | C22 | — | 26 | 1 | no | — |
| 796 | C22 | — | 52 | 1 | no | — |
| 797 | C22 | — | 52 | 1 | no | — |
| 798 | C22 | — | 52 | 1 | no | — |
| 799 | C22 | — | 104 | 1 | no | — |
| 800 | C22 | — | 104 | 1 | no | — |
| 801 | C22 | — | 104 | 1 | no | — |
| 802 | C22 | — | 104 | 1 | no | — |
| 803 | C22 | #11719071 | 1 | 1 | yes | characteristic |
| 804 | C22 | #11719071 | 1 | 1 | yes | characteristic |
| 805 | C22 | #11719150 | 1 | 1 | yes | characteristic |
| 806 | C4 | — | 4 | 1 | no | — |
| 807 | C4 | — | 8 | 1 | no | — |
| 808 | C4 | — | 13 | 1 | no | — |
| 809 | C4 | — | 13 | 1 | no | — |
| 810 | C4 | — | 13 | 1 | no | — |
| 811 | C4 | — | 13 | 1 | no | — |
| 812 | C4 | — | 52 | 4 | no | — |
| 813 | C4 | — | 52 | 1 | no | — |
| 814 | C4 | — | 104 | 1 | no | — |
| 815 | C4 | — | 104 | 1 | no | — |
| 816 | C4 | — | 104 | 2 | no | — |
| 817 | C4 | — | 104 | 1 | no | — |
| 818 | C4 | #11719071 | 1 | 1 | yes | characteristic |
| 819 | C4 | #11719071 | 1 | 1 | yes | characteristic |
| 820 | C4 | #11719135 | 1 | 1 | yes | characteristic |
| 821 | C4 | #11719150 | 1 | 1 | yes | characteristic |
| 822 | C2 | — | 2 | 1 | no | — |
| 823 | C2 | — | 2 | 1 | no | — |
| 824 | C2 | — | 8 | 1 | no | — |
| 825 | C2 | — | 13 | 1 | no | — |
| 826 | C2 | — | 13 | 1 | no | — |
| 827 | C2 | — | 13 | 1 | no | — |
| 828 | C2 | — | 13 | 1 | no | — |
| 829 | C2 | — | 26 | 1 | no | — |
| 830 | C2 | — | 26 | 1 | no | — |
| 831 | C2 | — | 104 | 1 | no | — |
| 832 | C2 | #13130020 | 1 | 1 | yes | characteristic |
| 833 | C2 | #13130835 | 1 | 1 | yes | characteristic |
| 834 | C2 | #13130836 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#11718271 | C2 | semidirect |
| 4. #13130523 | C2 | semidirect |
| 5. C2×#11718272 | C2 | semidirect |
| 6. #13130013 | C2 | semidirect |
| 25. C13×#417 | C4 | semidirect |
| 26. #11718893 | C4 | semidirect |
| 27. #11718794 | C4 | semidirect |
| 28. #11718627 | C4 | semidirect |
| 379. #417 | #261 | semidirect |
| 665. C13 | #11195 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊#104 | 2 |
| #13131311 | 2 |
| C2×#11718271 | 2 |
| #13130523 | 2 |
| C2×#11718272 | 2 |
| #13130013 | 2 |
| D13×#417 | 2 |
| #11195 | 13 |