Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1196 conjugacy classes of subgroups.
The subgroup lattice has 1004 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13124098 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13124058 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13118448 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13113818 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13113812 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13113801 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13113795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13113784 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13113778 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13113767 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13113761 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13113341 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#11718059 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#1468 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C22×#6127 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C13×#123 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11719511 | — | 2 | 1 | no | — |
| 19 | C2×#88193 | — | 2 | 1 | no | — |
| 20 | #11719496 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#88178 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#88163 | — | 2 | 1 | no | — |
| 23 | C2×#88158 | — | 2 | 1 | no | — |
| 24 | #11719372 | — | 2 | 1 | no | — |
| 25 | #11719370 | — | 2 | 1 | no | — |
| 26 | #11719367 | — | 2 | 1 | no | — |
| 27 | #11719365 | — | 2 | 1 | no | — |
| 28 | #11719360 | — | 2 | 1 | no | — |
| 29 | #11719356 | — | 2 | 1 | no | — |
| 30 | #11719355 | — | 2 | 1 | no | — |
| 31 | #11719353 | — | 2 | 1 | no | — |
| 32 | #11719220 | C22 | 1 | 1 | yes | characteristic |
| 33 | #11719216 | — | 2 | 1 | no | — |
| 34 | #11719205 | C22 | 1 | 1 | yes | characteristic |
| 35 | #11719200 | — | 2 | 1 | no | — |
| 36 | #11719200 | — | 2 | 1 | no | — |
| 37 | #11719199 | C22 | 1 | 1 | yes | characteristic |
| 38 | #11719188 | C22 | 1 | 1 | yes | characteristic |
| 39 | C13×#407 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×C13×C22⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#88071 | C22 | 1 | 1 | yes | characteristic |
| 42 | #11718794 | — | 2 | 1 | no | — |
| 43 | #11718774 | — | 2 | 1 | no | — |
| 44 | #11718652 | C22 | 1 | 1 | yes | characteristic |
| 45 | #11718650 | — | 2 | 1 | no | — |
| 46 | #11718640 | C22 | 1 | 1 | yes | characteristic |
| 47 | #11718621 | C22 | 1 | 1 | yes | characteristic |
| 48 | #11718619 | — | 2 | 1 | no | — |
| 49 | #11718617 | — | 2 | 1 | no | — |
| 50 | #11718608 | C22 | 1 | 1 | yes | characteristic |
| 51 | #11718400 | C22 | 1 | 1 | yes | characteristic |
| 52 | #11718400 | C22 | 1 | 1 | yes | characteristic |
| 53 | #11718400 | C22 | 1 | 1 | yes | characteristic |
| 54 | #11718399 | C22 | 1 | 1 | yes | characteristic |
| 55 | #11718395 | — | 2 | 1 | no | — |
| 56 | #11718394 | — | 2 | 1 | no | — |
| 57 | #11718394 | — | 2 | 1 | no | — |
| 58 | #11718394 | — | 2 | 1 | no | — |
| 59 | #11718393 | C22 | 1 | 1 | yes | characteristic |
| 60 | #11718392 | C22 | 1 | 1 | yes | characteristic |
| 61 | #11718392 | C22 | 1 | 1 | yes | characteristic |
| 62 | #11718392 | C22 | 1 | 1 | yes | characteristic |
| 63 | C13×#324 | C22 | 1 | 1 | yes | characteristic |
| 64 | C13×#324 | C22 | 1 | 1 | yes | characteristic |
| 65 | C13×#323 | C22 | 1 | 1 | yes | characteristic |
| 66 | C13×#323 | C22 | 1 | 1 | yes | characteristic |
| 67 | #11718062 | C22 | 1 | 1 | yes | characteristic |
| 68 | #11718062 | C22 | 1 | 1 | yes | characteristic |
| 69 | #11718059 | C22 | 1 | 1 | yes | characteristic |
| 70 | #11718059 | C22 | 1 | 1 | yes | characteristic |
| 71 | #11718059 | C22 | 1 | 1 | yes | characteristic |
| 72 | #11718059 | C22 | 1 | 1 | yes | characteristic |
| 73 | #11718059 | C22 | 1 | 1 | yes | characteristic |
| 74 | #11718059 | C22 | 1 | 1 | yes | characteristic |
| 75 | C22×D4×C13 | D4 | 1 | 1 | yes | characteristic |
| 76 | C23×C4×C13 | C23 | 1 | 1 | yes | characteristic |
| 77 | C22×C22⋊D13 | — | 2 | 1 | no | — |
| 78 | C22×C22⋊D13 | — | 2 | 1 | no | — |
| 79 | C23×Dic13 | — | 2 | 1 | no | — |
| 80 | C2×#6129 | — | 2 | 1 | no | — |
| 81 | C2×#6127 | — | 2 | 1 | no | — |
| 82 | C2×#6127 | — | 2 | 1 | no | — |
| 83 | C2×#6127 | — | 2 | 1 | no | — |
| 84 | C2×#6127 | — | 2 | 1 | no | — |
| 85 | C2×#6127 | — | 4 | 4 | no | — |
| 86 | C2×#6127 | D4 | 1 | 1 | yes | characteristic, complemented |
| 87 | C22×D52 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×C4×D13 | — | 2 | 1 | no | — |
| 89 | C22×Dic26 | D4 | 1 | 1 | yes | characteristic, complemented |
| 90 | C22×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C13×M16 | — | 2 | 1 | no | — |
| 92 | C22×C8×C13 | — | 2 | 1 | no | — |
| 93 | C13×#123 | — | 2 | 1 | no | — |
| 94 | C13×#123 | — | 2 | 1 | no | — |
| 95 | C13×#123 | — | 2 | 1 | no | — |
| 96 | C13×#123 | — | 2 | 1 | no | — |
| 97 | C2×C13×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C13×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×C13×C22⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 100 | C2×C13×C22⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 101 | C2×C13×C22⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 102 | #88207 | — | 2 | 1 | no | — |
| 103 | #88207 | — | 2 | 1 | no | — |
| 104 | C2×C22⋊Dic13 | — | 2 | 1 | no | — |
| 105 | C2×C22⋊Dic13 | — | 2 | 1 | no | — |
| 106 | C2×C22⋊Dic13 | — | 2 | 1 | no | — |
| 107 | #88193 | — | 2 | 1 | no | — |
| 108 | #88193 | — | 2 | 1 | no | — |
| 109 | #88193 | — | 4 | 4 | no | — |
| 110 | #88192 | — | 2 | 1 | no | — |
| 111 | #88190 | — | 2 | 1 | no | — |
| 112 | #88189 | — | 2 | 1 | no | — |
| 113 | #88189 | — | 2 | 1 | no | — |
| 114 | D4×Dic13 | — | 2 | 1 | no | — |
| 115 | #88184 | D4 | 1 | 1 | yes | characteristic, complemented |
| 116 | #88184 | C23 | 1 | 1 | yes | characteristic |
| 117 | #88183 | — | 2 | 1 | no | — |
| 118 | #88183 | — | 2 | 1 | no | — |
| 119 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 120 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 121 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 122 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 123 | C2×#6103 | — | 2 | 1 | no | — |
| 124 | C2×#6103 | — | 2 | 1 | no | — |
| 125 | C2×#6103 | — | 2 | 1 | no | — |
| 126 | #88180 | — | 2 | 1 | no | — |
| 127 | #88180 | D4 | 1 | 1 | yes | characteristic, complemented |
| 128 | C2×C4⋊Dic13 | D4 | 1 | 1 | yes | characteristic, complemented |
| 129 | #88178 | — | 2 | 1 | no | — |
| 130 | #88178 | — | 2 | 1 | no | — |
| 131 | #88178 | — | 2 | 1 | no | — |
| 132 | #88178 | — | 2 | 1 | no | — |
| 133 | #88178 | D4 | 1 | 1 | yes | characteristic, complemented |
| 134 | #88178 | D4 | 1 | 1 | yes | characteristic, complemented |
| 135 | #88178 | D4 | 1 | 1 | yes | characteristic, complemented |
| 136 | #88178 | C23 | 1 | 1 | yes | characteristic |
| 137 | #88178 | C23 | 1 | 1 | yes | characteristic |
| 138 | #88178 | C23 | 1 | 1 | yes | characteristic |
| 139 | C2×#6101 | — | 2 | 1 | no | — |
| 140 | C2×#6101 | — | 2 | 1 | no | — |
| 141 | #88163 | — | 4 | 4 | no | — |
| 142 | C2×Dic52 | — | 2 | 1 | no | — |
| 143 | C2×Dic52 | — | 2 | 1 | no | — |
| 144 | C2×Dic52 | — | 2 | 1 | no | — |
| 145 | #88158 | — | 4 | 4 | no | — |
| 146 | C2×D104 | — | 2 | 1 | no | — |
| 147 | C2×#6095 | — | 2 | 1 | no | — |
| 148 | C2×#6095 | — | 2 | 1 | no | — |
| 149 | C2×#6095 | — | 2 | 1 | no | — |
| 150 | C2×#6095 | — | 2 | 1 | no | — |
| 151 | #88152 | — | 2 | 1 | no | — |
| 152 | #88151 | — | 2 | 1 | no | — |
| 153 | #88150 | — | 2 | 1 | no | — |
| 154 | #88150 | — | 2 | 1 | no | — |
| 155 | #88150 | — | 2 | 1 | no | — |
| 156 | #88148 | — | 2 | 1 | no | — |
| 157 | C4⋊C4×D13 | — | 2 | 1 | no | — |
| 158 | #88144 | — | 2 | 1 | no | — |
| 159 | #88144 | — | 2 | 1 | no | — |
| 160 | #88143 | — | 2 | 1 | no | — |
| 161 | #88143 | — | 2 | 1 | no | — |
| 162 | #88143 | — | 2 | 1 | no | — |
| 163 | #88142 | — | 2 | 1 | no | — |
| 164 | #88142 | — | 2 | 1 | no | — |
| 165 | #88142 | — | 2 | 1 | no | — |
| 166 | #88141 | — | 2 | 1 | no | — |
| 167 | #88140 | — | 2 | 1 | no | — |
| 168 | #88140 | — | 2 | 1 | no | — |
| 169 | #88139 | — | 2 | 1 | no | — |
| 170 | #88139 | — | 2 | 1 | no | — |
| 171 | #88139 | — | 2 | 1 | no | — |
| 172 | #88138 | — | 2 | 1 | no | — |
| 173 | #88137 | — | 2 | 1 | no | — |
| 174 | #88137 | — | 2 | 1 | no | — |
| 175 | #88137 | — | 2 | 1 | no | — |
| 176 | #88135 | — | 2 | 1 | no | — |
| 177 | #88135 | — | 2 | 1 | no | — |
| 178 | #88133 | — | 2 | 1 | no | — |
| 179 | #88133 | — | 2 | 1 | no | — |
| 180 | #88133 | — | 2 | 1 | no | — |
| 181 | #88133 | — | 2 | 1 | no | — |
| 182 | #88133 | — | 2 | 1 | no | — |
| 183 | #88132 | — | 2 | 1 | no | — |
| 184 | #88132 | — | 2 | 1 | no | — |
| 185 | #88132 | — | 2 | 1 | no | — |
| 186 | #88132 | — | 2 | 1 | no | — |
| 187 | #88132 | — | 2 | 1 | no | — |
| 188 | #88132 | — | 2 | 1 | no | — |
| 189 | #88131 | — | 2 | 1 | no | — |
| 190 | #88131 | — | 2 | 1 | no | — |
| 191 | C13×C22⋊C8 | — | 2 | 1 | no | — |
| 192 | C13×C22⋊C8 | — | 2 | 1 | no | — |
| 193 | C13×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 194 | C13×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 195 | C13×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 196 | C13×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 197 | #88071 | — | 2 | 1 | no | — |
| 198 | #88071 | — | 2 | 1 | no | — |
| 199 | #88071 | — | 2 | 1 | no | — |
| 200 | #88071 | C23 | 1 | 1 | yes | characteristic |
| 201 | #88071 | C23 | 1 | 1 | yes | characteristic |
| 202 | #88061 | — | 2 | 1 | no | — |
| 203 | #88061 | — | 2 | 1 | no | — |
| 204 | #88061 | — | 2 | 1 | no | — |
| 205 | #88061 | — | 2 | 1 | no | — |
| 206 | #88056 | — | 2 | 1 | no | — |
| 207 | #88056 | — | 2 | 1 | no | — |
| 208 | #88056 | — | 2 | 1 | no | — |
| 209 | #88056 | — | 2 | 1 | no | — |
| 210 | #18253 | — | 13 | 1 | no | maximal, Sylow |
| 211 | C24×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C24×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C23×D13 | — | 2 | 1 | no | — |
| 214 | C2×D4×C13 | — | 2 | 1 | no | — |
| 215 | C2×D4×C13 | — | 2 | 1 | no | — |
| 216 | C2×D4×C13 | — | 4 | 2 | no | — |
| 217 | C22×C4×C13 | — | 4 | 2 | no | — |
| 218 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 227 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 228 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 229 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 230 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 231 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 232 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 233 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 234 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 235 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 236 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 237 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 238 | C2×C22⋊D13 | — | 8 | 1 | no | — |
| 239 | C22×Dic13 | — | 2 | 1 | no | — |
| 240 | C22×Dic13 | — | 2 | 1 | no | — |
| 241 | C22×Dic13 | — | 2 | 1 | no | — |
| 242 | C22×Dic13 | — | 2 | 1 | no | — |
| 243 | C22×Dic13 | — | 2 | 1 | no | — |
| 244 | C22×Dic13 | — | 2 | 1 | no | — |
| 245 | C22×Dic13 | — | 2 | 1 | no | — |
| 246 | C22×Dic13 | — | 4 | 2 | no | — |
| 247 | C22×Dic13 | — | 4 | 2 | no | — |
| 248 | C22×Dic13 | — | 8 | 1 | no | — |
| 249 | #6129 | — | 8 | 2 | no | — |
| 250 | #6127 | — | 2 | 4 | no | — |
| 251 | #6127 | — | 2 | 4 | no | — |
| 252 | #6127 | — | 4 | 2 | no | — |
| 253 | #6127 | — | 4 | 2 | no | — |
| 254 | #6127 | — | 4 | 2 | no | — |
| 255 | #6127 | — | 4 | 2 | no | — |
| 256 | #6127 | — | 4 | 2 | no | — |
| 257 | #6127 | — | 4 | 2 | no | — |
| 258 | #6127 | — | 4 | 2 | no | — |
| 259 | C2×D52 | — | 2 | 1 | no | — |
| 260 | C2×D52 | — | 2 | 1 | no | — |
| 261 | C2×D52 | — | 4 | 2 | no | — |
| 262 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C2×C4×D13 | — | 2 | 1 | no | — |
| 264 | C2×C4×D13 | — | 2 | 1 | no | — |
| 265 | C2×C4×D13 | — | 2 | 1 | no | — |
| 266 | C2×C4×D13 | — | 4 | 2 | no | — |
| 267 | C2×C4×D13 | — | 4 | 2 | no | — |
| 268 | C2×C4×D13 | — | 4 | 1 | no | — |
| 269 | C2×C4×D13 | — | 4 | 1 | no | — |
| 270 | C2×Dic26 | — | 2 | 1 | no | — |
| 271 | C2×Dic26 | — | 2 | 1 | no | — |
| 272 | C2×Dic26 | — | 2 | 1 | no | — |
| 273 | C2×Dic26 | — | 2 | 1 | no | — |
| 274 | C2×Dic26 | — | 2 | 1 | no | — |
| 275 | C2×Dic26 | — | 4 | 2 | no | — |
| 276 | C2×Dic26 | — | 4 | 2 | no | — |
| 277 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 279 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C13×M16 | — | 4 | 2 | no | — |
| 281 | C2×C8×C13 | — | 2 | 1 | no | — |
| 282 | C2×C8×C13 | — | 2 | 1 | no | — |
| 283 | C2×C8×C13 | — | 2 | 1 | no | — |
| 284 | C2×C8×C13 | — | 2 | 1 | no | — |
| 285 | C2×C8×C13 | — | 4 | 2 | no | — |
| 286 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 287 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 288 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 289 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 290 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 291 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 292 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 293 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 294 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 295 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 296 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 297 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 298 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 299 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 300 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 301 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 302 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 303 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 304 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 305 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 306 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 307 | C22⋊Dic13 | — | 4 | 2 | no | — |
| 308 | #6103 | — | 2 | 1 | no | — |
| 309 | #6103 | — | 2 | 1 | no | — |
| 310 | #6103 | — | 2 | 1 | no | — |
| 311 | #6103 | — | 2 | 1 | no | — |
| 312 | #6103 | — | 2 | 1 | no | — |
| 313 | #6103 | — | 2 | 1 | no | — |
| 314 | #6103 | — | 4 | 2 | no | — |
| 315 | #6103 | — | 4 | 2 | no | — |
| 316 | #6103 | — | 8 | 1 | no | — |
| 317 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 318 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 319 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 320 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 321 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 322 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 323 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | #6101 | — | 2 | 1 | no | — |
| 327 | #6101 | — | 2 | 1 | no | — |
| 328 | #6101 | — | 2 | 1 | no | — |
| 329 | #6101 | — | 2 | 1 | no | — |
| 330 | #6101 | — | 2 | 1 | no | — |
| 331 | #6101 | — | 2 | 1 | no | — |
| 332 | #6101 | — | 2 | 1 | no | — |
| 333 | #6101 | — | 2 | 1 | no | — |
| 334 | #6101 | — | 2 | 1 | no | — |
| 335 | #6101 | — | 2 | 1 | no | — |
| 336 | #6101 | — | 2 | 1 | no | — |
| 337 | #6101 | — | 2 | 1 | no | — |
| 338 | #6101 | — | 2 | 1 | no | — |
| 339 | #6101 | — | 2 | 1 | no | — |
| 340 | #6101 | — | 4 | 2 | no | — |
| 341 | C4×Dic13 | — | 2 | 1 | no | — |
| 342 | C4×Dic13 | — | 2 | 1 | no | — |
| 343 | C4×Dic13 | — | 2 | 1 | no | — |
| 344 | C4×Dic13 | — | 2 | 1 | no | — |
| 345 | C4×Dic13 | — | 2 | 1 | no | — |
| 346 | Dic52 | — | 4 | 2 | no | — |
| 347 | Dic52 | — | 4 | 2 | no | — |
| 348 | Dic52 | — | 4 | 2 | no | — |
| 349 | D104 | — | 4 | 2 | no | — |
| 350 | #6095 | — | 4 | 2 | no | — |
| 351 | #6095 | — | 4 | 2 | no | — |
| 352 | #6095 | — | 4 | 2 | no | — |
| 353 | #6095 | — | 4 | 2 | no | — |
| 354 | #3535 | — | 13 | 1 | no | — |
| 355 | #3007 | — | 13 | 1 | no | — |
| 356 | #3002 | — | 13 | 1 | no | — |
| 357 | #2430 | — | 13 | 1 | no | — |
| 358 | #1606 | — | 13 | 1 | no | — |
| 359 | #1605 | — | 13 | 1 | no | — |
| 360 | #1603 | — | 13 | 1 | no | — |
| 361 | #1602 | — | 13 | 1 | no | — |
| 362 | #1600 | — | 13 | 1 | no | — |
| 363 | #1599 | — | 13 | 1 | no | — |
| 364 | #1597 | — | 13 | 1 | no | — |
| 365 | #1596 | — | 13 | 1 | no | — |
| 366 | #1504 | — | 13 | 1 | no | — |
| 367 | C2×#328 | — | 13 | 1 | no | — |
| 368 | #1468 | D13 | 1 | 1 | yes | characteristic, complemented |
| 369 | C23×C13 | — | 2 | 1 | no | — |
| 370 | C23×C13 | — | 2 | 1 | no | — |
| 371 | C23×C13 | — | 2 | 2 | no | — |
| 372 | C23×C13 | — | 2 | 1 | no | — |
| 373 | C23×C13 | — | 2 | 1 | no | — |
| 374 | C23×C13 | — | 2 | 1 | no | — |
| 375 | C23×C13 | — | 4 | 1 | no | — |
| 376 | C23×C13 | — | 4 | 1 | no | — |
| 377 | C23×C13 | — | 4 | 1 | no | — |
| 378 | C23×C13 | #120 | 1 | 1 | yes | characteristic |
| 379 | C23×C13 | #120 | 1 | 1 | yes | characteristic |
| 380 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 381 | C22×D13 | — | 2 | 2 | no | — |
| 382 | C22×D13 | — | 2 | 1 | no | — |
| 383 | C22×D13 | — | 4 | 1 | no | — |
| 384 | C22×D13 | — | 4 | 1 | no | — |
| 385 | C22×D13 | — | 4 | 1 | no | — |
| 386 | C22×D13 | — | 4 | 1 | no | — |
| 387 | C22×D13 | — | 4 | 1 | no | — |
| 388 | C22×D13 | — | 4 | 1 | no | — |
| 389 | D4×C13 | — | 4 | 2 | no | — |
| 390 | D4×C13 | — | 8 | 1 | no | — |
| 391 | C2×C4×C13 | — | 2 | 2 | no | — |
| 392 | C2×C4×C13 | — | 2 | 2 | no | — |
| 393 | C2×C4×C13 | — | 2 | 1 | no | — |
| 394 | C2×C4×C13 | — | 2 | 1 | no | — |
| 395 | C2×C4×C13 | — | 2 | 1 | no | — |
| 396 | C2×C4×C13 | — | 2 | 1 | no | — |
| 397 | C2×C4×C13 | — | 2 | 1 | no | — |
| 398 | C2×C4×C13 | — | 4 | 1 | no | — |
| 399 | C2×C4×C13 | — | 4 | 1 | no | — |
| 400 | C2×C4×C13 | — | 4 | 1 | no | — |
| 401 | C2×C4×C13 | — | 4 | 1 | no | — |
| 402 | C2×C4×C13 | — | 4 | 1 | no | — |
| 403 | C2×C4×C13 | — | 4 | 1 | no | — |
| 404 | C2×C4×C13 | #120 | 1 | 1 | yes | characteristic |
| 405 | C2×C4×C13 | #120 | 1 | 1 | yes | characteristic |
| 406 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 407 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 408 | C22⋊D13 | — | 4 | 4 | no | — |
| 409 | C22⋊D13 | — | 4 | 1 | no | — |
| 410 | C22⋊D13 | — | 4 | 1 | no | — |
| 411 | C22⋊D13 | — | 4 | 4 | no | — |
| 412 | C22⋊D13 | — | 4 | 2 | no | — |
| 413 | C22⋊D13 | — | 8 | 1 | no | — |
| 414 | C22⋊D13 | — | 8 | 1 | no | — |
| 415 | C22⋊D13 | — | 8 | 1 | no | — |
| 416 | C22⋊D13 | — | 8 | 4 | no | — |
| 417 | C2×Dic13 | — | 2 | 2 | no | — |
| 418 | C2×Dic13 | — | 2 | 2 | no | — |
| 419 | C2×Dic13 | — | 2 | 1 | no | — |
| 420 | C2×Dic13 | — | 2 | 1 | no | — |
| 421 | C2×Dic13 | — | 2 | 1 | no | — |
| 422 | C2×Dic13 | — | 2 | 1 | no | — |
| 423 | C2×Dic13 | — | 2 | 1 | no | — |
| 424 | C2×Dic13 | — | 2 | 1 | no | — |
| 425 | C2×Dic13 | — | 2 | 1 | no | — |
| 426 | C2×Dic13 | — | 4 | 1 | no | — |
| 427 | C2×Dic13 | — | 4 | 1 | no | — |
| 428 | C2×Dic13 | — | 4 | 1 | no | — |
| 429 | C2×Dic13 | — | 4 | 1 | no | — |
| 430 | C2×Dic13 | — | 4 | 2 | no | — |
| 431 | C2×Dic13 | — | 4 | 1 | no | — |
| 432 | C2×Dic13 | — | 4 | 1 | no | — |
| 433 | C2×Dic13 | — | 4 | 1 | no | — |
| 434 | C2×Dic13 | — | 8 | 1 | no | — |
| 435 | C2×Dic13 | — | 8 | 1 | no | — |
| 436 | C2×Dic13 | — | 8 | 1 | no | — |
| 437 | C2×Dic13 | — | 8 | 4 | no | — |
| 438 | D52 | — | 2 | 2 | no | — |
| 439 | D52 | — | 2 | 2 | no | — |
| 440 | D52 | — | 4 | 1 | no | — |
| 441 | D52 | — | 4 | 1 | no | — |
| 442 | D52 | — | 4 | 1 | no | — |
| 443 | C4×D13 | — | 4 | 4 | no | — |
| 444 | C4×D13 | — | 4 | 4 | no | — |
| 445 | C4×D13 | — | 8 | 1 | no | — |
| 446 | C4×D13 | — | 8 | 1 | no | — |
| 447 | C4×D13 | — | 8 | 1 | no | — |
| 448 | Dic26 | — | 2 | 2 | no | — |
| 449 | Dic26 | — | 2 | 2 | no | — |
| 450 | Dic26 | — | 4 | 1 | no | — |
| 451 | Dic26 | — | 4 | 1 | no | — |
| 452 | Dic26 | — | 4 | 1 | no | — |
| 453 | Dic26 | — | 4 | 1 | no | — |
| 454 | Dic26 | — | 4 | 1 | no | — |
| 455 | Dic26 | — | 8 | 1 | no | — |
| 456 | Dic26 | — | 8 | 1 | no | — |
| 457 | Dic26 | — | 8 | 1 | no | — |
| 458 | C8×C13 | — | 4 | 1 | no | — |
| 459 | C8×C13 | — | 4 | 1 | no | — |
| 460 | C8×C13 | — | 4 | 1 | no | — |
| 461 | C8×C13 | — | 4 | 1 | no | — |
| 462 | C22×#41 | — | 13 | 1 | no | — |
| 463 | C2×#137 | — | 26 | 1 | no | — |
| 464 | C2×#135 | — | 26 | 1 | no | — |
| 465 | #563 | — | 26 | 1 | no | — |
| 466 | #562 | — | 26 | 1 | no | — |
| 467 | #554 | — | 26 | 1 | no | — |
| 468 | #552 | — | 26 | 1 | no | — |
| 469 | #551 | — | 26 | 1 | no | — |
| 470 | #551 | — | 26 | 1 | no | — |
| 471 | #547 | — | 26 | 1 | no | — |
| 472 | #546 | — | 26 | 1 | no | — |
| 473 | #544 | — | 13 | 1 | no | — |
| 474 | #543 | — | 13 | 1 | no | — |
| 475 | #542 | — | 26 | 1 | no | — |
| 476 | #539 | — | 13 | 1 | no | — |
| 477 | #539 | — | 26 | 1 | no | — |
| 478 | #539 | — | 26 | 1 | no | — |
| 479 | #538 | — | 13 | 1 | no | — |
| 480 | #536 | — | 26 | 1 | no | — |
| 481 | #525 | — | 13 | 1 | no | — |
| 482 | C2×#123 | C2×D13 | 1 | 1 | yes | characteristic |
| 483 | C2×C22⋊Q8 | — | 13 | 1 | no | — |
| 484 | C2×#121 | — | 26 | 1 | no | — |
| 485 | #452 | — | 26 | 1 | no | — |
| 486 | #452 | — | 26 | 1 | no | — |
| 487 | #452 | — | 26 | 1 | no | — |
| 488 | #451 | — | 13 | 1 | no | — |
| 489 | #451 | — | 13 | 1 | no | — |
| 490 | #451 | — | 13 | 1 | no | — |
| 491 | #450 | — | 13 | 1 | no | — |
| 492 | #450 | — | 13 | 1 | no | — |
| 493 | #450 | — | 13 | 1 | no | — |
| 494 | #449 | — | 26 | 1 | no | — |
| 495 | #448 | — | 13 | 1 | no | — |
| 496 | #447 | — | 13 | 1 | no | — |
| 497 | #417 | — | 26 | 1 | no | — |
| 498 | #416 | — | 26 | 1 | no | — |
| 499 | #407 | C2×D13 | 1 | 1 | yes | characteristic |
| 500 | C2×C22⋊C8 | C2×D13 | 1 | 1 | yes | characteristic |
| 501 | #395 | — | 13 | 1 | no | — |
| 502 | #394 | — | 13 | 1 | no | — |
| 503 | #393 | — | 13 | 1 | no | — |
| 504 | #392 | — | 13 | 1 | no | — |
| 505 | #386 | — | 26 | 1 | no | — |
| 506 | #386 | — | 26 | 1 | no | — |
| 507 | #385 | — | 26 | 1 | no | — |
| 508 | C2×#95 | — | 13 | 1 | no | — |
| 509 | #328 | — | 13 | 1 | no | — |
| 510 | #328 | — | 13 | 1 | no | — |
| 511 | #328 | — | 13 | 1 | no | — |
| 512 | #328 | — | 13 | 1 | no | — |
| 513 | #328 | — | 13 | 1 | no | — |
| 514 | #328 | — | 13 | 1 | no | — |
| 515 | #327 | — | 13 | 1 | no | — |
| 516 | #327 | — | 13 | 1 | no | — |
| 517 | #324 | C2×D13 | 1 | 1 | yes | characteristic |
| 518 | #324 | C2×D13 | 1 | 1 | yes | characteristic |
| 519 | #323 | C2×D13 | 1 | 1 | yes | characteristic |
| 520 | #323 | C2×D13 | 1 | 1 | yes | characteristic |
| 521 | C22×C13 | — | 2 | 1 | no | — |
| 522 | C22×C13 | — | 2 | 1 | no | — |
| 523 | C22×C13 | — | 2 | 1 | no | — |
| 524 | C22×C13 | — | 2 | 1 | no | — |
| 525 | C22×C13 | — | 2 | 1 | no | — |
| 526 | C22×C13 | — | 2 | 1 | no | — |
| 527 | C22×C13 | — | 2 | 1 | no | — |
| 528 | C22×C13 | — | 4 | 2 | no | — |
| 529 | C22×C13 | — | 4 | 2 | no | — |
| 530 | C22×C13 | — | 4 | 1 | no | — |
| 531 | C22×C13 | — | 4 | 1 | no | — |
| 532 | C22×C13 | — | 4 | 1 | no | — |
| 533 | C22×C13 | — | 8 | 1 | no | — |
| 534 | C22×C13 | — | 8 | 1 | no | — |
| 535 | C22×C13 | B(4,𝔽2) | 1 | 2 | yes | — |
| 536 | C22×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 537 | C22×C13 | #577 | 1 | 1 | yes | characteristic |
| 538 | C22×C13 | #578 | 1 | 1 | yes | characteristic |
| 539 | C2×D13 | — | 4 | 2 | no | — |
| 540 | C2×D13 | — | 4 | 2 | no | — |
| 541 | C2×D13 | — | 4 | 1 | no | — |
| 542 | C2×D13 | — | 4 | 1 | no | — |
| 543 | C2×D13 | — | 4 | 2 | no | — |
| 544 | C2×D13 | — | 4 | 1 | no | — |
| 545 | C2×D13 | — | 8 | 1 | no | — |
| 546 | C2×D13 | — | 8 | 1 | no | — |
| 547 | C2×D13 | — | 8 | 1 | no | — |
| 548 | C2×D13 | — | 8 | 1 | no | — |
| 549 | C4×C13 | — | 2 | 1 | no | — |
| 550 | C4×C13 | — | 2 | 1 | no | — |
| 551 | C4×C13 | — | 2 | 1 | no | — |
| 552 | C4×C13 | — | 2 | 1 | no | — |
| 553 | C4×C13 | — | 4 | 1 | no | — |
| 554 | C4×C13 | — | 4 | 1 | no | — |
| 555 | C4×C13 | — | 4 | 1 | no | — |
| 556 | Dic13 | — | 4 | 2 | no | — |
| 557 | Dic13 | — | 4 | 1 | no | — |
| 558 | Dic13 | — | 4 | 1 | no | — |
| 559 | Dic13 | — | 4 | 1 | no | — |
| 560 | Dic13 | — | 4 | 1 | no | — |
| 561 | Dic13 | — | 4 | 2 | no | — |
| 562 | Dic13 | — | 4 | 1 | no | — |
| 563 | Dic13 | — | 4 | 1 | no | — |
| 564 | Dic13 | — | 4 | 1 | no | — |
| 565 | Dic13 | — | 8 | 1 | no | — |
| 566 | C2×#41 | — | 13 | 1 | no | — |
| 567 | C2×#41 | — | 26 | 1 | no | — |
| 568 | C2×#41 | — | 26 | 1 | no | — |
| 569 | C2×#41 | — | 26 | 1 | no | — |
| 570 | C2×#41 | — | 26 | 1 | no | — |
| 571 | C2×#41 | — | 26 | 1 | no | — |
| 572 | C2×#41 | — | 52 | 4 | no | — |
| 573 | C22×Q8 | — | 13 | 1 | no | — |
| 574 | C22×Q8 | — | 13 | 1 | no | — |
| 575 | C22×D4 | — | 13 | 1 | no | — |
| 576 | C22×D4 | — | 26 | 1 | no | — |
| 577 | C22×D4 | — | 26 | 1 | no | — |
| 578 | C22×D4 | D52 | 1 | 1 | yes | characteristic |
| 579 | C23×C4 | — | 26 | 1 | no | — |
| 580 | C23×C4 | — | 26 | 1 | no | — |
| 581 | C23×C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 582 | #137 | — | 52 | 4 | no | — |
| 583 | #135 | — | 52 | 4 | no | — |
| 584 | C2×Q16 | — | 26 | 1 | no | — |
| 585 | C2×Q16 | — | 26 | 1 | no | — |
| 586 | C2×Q16 | — | 26 | 1 | no | — |
| 587 | C2×SD16 | — | 26 | 1 | no | — |
| 588 | C2×SD16 | — | 26 | 1 | no | — |
| 589 | C2×SD16 | — | 26 | 1 | no | — |
| 590 | C2×SD16 | — | 26 | 1 | no | — |
| 591 | C2×D8 | — | 26 | 1 | no | — |
| 592 | C2×M16 | — | 2 | 1 | no | — |
| 593 | C22×C8 | — | 2 | 1 | no | — |
| 594 | C4⋊Q8 | — | 26 | 1 | no | — |
| 595 | C4⋊Q8 | — | 26 | 1 | no | — |
| 596 | C4⋊Q8 | — | 26 | 1 | no | — |
| 597 | #126 | — | 26 | 1 | no | — |
| 598 | #126 | — | 26 | 1 | no | — |
| 599 | #126 | — | 26 | 1 | no | — |
| 600 | #126 | — | 26 | 1 | no | — |
| 601 | #126 | — | 26 | 1 | no | — |
| 602 | #126 | — | 26 | 1 | no | — |
| 603 | #125 | — | 26 | 1 | no | — |
| 604 | #125 | — | 26 | 1 | no | — |
| 605 | #125 | — | 26 | 1 | no | — |
| 606 | #125 | — | 26 | 1 | no | — |
| 607 | #125 | — | 26 | 1 | no | — |
| 608 | #124 | — | 26 | 1 | no | — |
| 609 | #124 | — | 26 | 1 | no | — |
| 610 | #124 | — | 26 | 1 | no | — |
| 611 | #124 | — | 26 | 1 | no | — |
| 612 | #123 | — | 2 | 1 | no | — |
| 613 | #123 | — | 2 | 1 | no | — |
| 614 | #123 | — | 2 | 1 | no | — |
| 615 | #123 | — | 2 | 1 | no | — |
| 616 | #123 | — | 26 | 1 | no | — |
| 617 | #123 | — | 26 | 1 | no | — |
| 618 | #123 | — | 26 | 1 | no | — |
| 619 | #123 | — | 26 | 1 | no | — |
| 620 | #123 | — | 26 | 1 | no | — |
| 621 | #123 | — | 26 | 1 | no | — |
| 622 | #123 | — | 26 | 1 | no | — |
| 623 | #123 | — | 26 | 1 | no | — |
| 624 | #123 | — | 26 | 1 | no | — |
| 625 | #123 | — | 26 | 1 | no | — |
| 626 | C22⋊Q8 | — | 13 | 1 | no | — |
| 627 | C22⋊Q8 | — | 13 | 1 | no | — |
| 628 | C22⋊Q8 | — | 13 | 1 | no | — |
| 629 | C22⋊Q8 | — | 13 | 1 | no | — |
| 630 | C22⋊Q8 | — | 13 | 1 | no | — |
| 631 | C22⋊Q8 | — | 13 | 1 | no | — |
| 632 | C22⋊Q8 | — | 26 | 1 | no | — |
| 633 | C22⋊Q8 | — | 26 | 1 | no | — |
| 634 | C22⋊Q8 | — | 26 | 1 | no | — |
| 635 | C22⋊Q8 | — | 26 | 1 | no | — |
| 636 | C22⋊Q8 | — | 26 | 1 | no | — |
| 637 | C22⋊Q8 | — | 26 | 1 | no | — |
| 638 | C22⋊Q8 | — | 26 | 1 | no | — |
| 639 | C22⋊Q8 | — | 26 | 1 | no | — |
| 640 | C22⋊Q8 | — | 26 | 1 | no | — |
| 641 | C22⋊Q8 | — | 26 | 1 | no | — |
| 642 | C22⋊Q8 | — | 26 | 1 | no | — |
| 643 | C22⋊Q8 | — | 26 | 1 | no | — |
| 644 | C22⋊Q8 | — | 26 | 1 | no | — |
| 645 | C22⋊Q8 | — | 26 | 1 | no | — |
| 646 | #121 | — | 13 | 1 | no | — |
| 647 | #121 | — | 13 | 1 | no | — |
| 648 | #121 | — | 26 | 1 | no | — |
| 649 | #121 | — | 26 | 1 | no | — |
| 650 | #121 | — | 26 | 1 | no | — |
| 651 | #121 | — | 26 | 1 | no | — |
| 652 | #121 | — | 52 | 4 | no | — |
| 653 | #120 | — | 26 | 1 | no | — |
| 654 | #120 | — | 26 | 1 | no | — |
| 655 | C4×Q8 | — | 26 | 1 | no | — |
| 656 | C4×D4 | — | 26 | 1 | no | — |
| 657 | C4×D4 | — | 26 | 1 | no | — |
| 658 | C4×D4 | — | 26 | 1 | no | — |
| 659 | C4×D4 | — | 26 | 1 | no | — |
| 660 | C4×D4 | — | 26 | 1 | no | — |
| 661 | C4×D4 | — | 26 | 1 | no | — |
| 662 | C4×D4 | — | 26 | 1 | no | — |
| 663 | #117 | — | 13 | 1 | no | — |
| 664 | #117 | — | 26 | 1 | no | — |
| 665 | #117 | — | 26 | 1 | no | — |
| 666 | #117 | — | 26 | 1 | no | — |
| 667 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 668 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 669 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 670 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 671 | C2×C4⋊C4 | D52 | 1 | 1 | yes | characteristic |
| 672 | C2×C4⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 673 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 674 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 675 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 676 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 677 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 678 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 679 | C2×C22⋊C4 | D52 | 1 | 1 | yes | characteristic |
| 680 | C2×C22⋊C4 | D52 | 1 | 1 | yes | characteristic |
| 681 | C2×C22⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 682 | #103 | — | 26 | 1 | no | — |
| 683 | #103 | — | 26 | 1 | no | — |
| 684 | #103 | — | 26 | 1 | no | — |
| 685 | #103 | — | 26 | 1 | no | — |
| 686 | #102 | — | 26 | 1 | no | — |
| 687 | #102 | — | 26 | 1 | no | — |
| 688 | #102 | — | 26 | 1 | no | — |
| 689 | #102 | — | 26 | 1 | no | — |
| 690 | C22⋊C8 | — | 2 | 1 | no | — |
| 691 | C22⋊C8 | — | 2 | 1 | no | — |
| 692 | C22⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 693 | C22⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 694 | C22⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 695 | C22⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 696 | #95 | — | 13 | 1 | no | — |
| 697 | #95 | — | 13 | 1 | no | — |
| 698 | #95 | — | 26 | 1 | no | — |
| 699 | #95 | — | 26 | 1 | no | — |
| 700 | #95 | — | 26 | 1 | no | — |
| 701 | C2×C13 | — | 2 | 1 | no | — |
| 702 | C2×C13 | — | 2 | 1 | no | — |
| 703 | C2×C13 | — | 2 | 2 | no | — |
| 704 | C2×C13 | — | 4 | 1 | no | — |
| 705 | C2×C13 | — | 8 | 1 | no | — |
| 706 | C2×C13 | #3013 | 1 | 1 | yes | characteristic |
| 707 | C2×C13 | #3018 | 1 | 1 | yes | characteristic |
| 708 | C2×C13 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 709 | D13 | — | 8 | 1 | no | — |
| 710 | D13 | — | 8 | 2 | no | — |
| 711 | C24 | — | 26 | 1 | no | — |
| 712 | C24 | C2×D52 | 1 | 1 | yes | characteristic |
| 713 | C24 | C2×D52 | 1 | 1 | yes | characteristic |
| 714 | #41 | — | 26 | 4 | no | — |
| 715 | #41 | — | 26 | 4 | no | — |
| 716 | #41 | — | 52 | 2 | no | — |
| 717 | #41 | — | 52 | 2 | no | — |
| 718 | #41 | — | 52 | 2 | no | — |
| 719 | #41 | — | 52 | 2 | no | — |
| 720 | #41 | — | 52 | 2 | no | — |
| 721 | #41 | — | 52 | 2 | no | — |
| 722 | #41 | — | 52 | 2 | no | — |
| 723 | #41 | — | 104 | 2 | no | — |
| 724 | C2×Q8 | — | 13 | 1 | no | — |
| 725 | C2×Q8 | — | 13 | 1 | no | — |
| 726 | C2×Q8 | — | 13 | 1 | no | — |
| 727 | C2×Q8 | — | 26 | 1 | no | — |
| 728 | C2×Q8 | — | 26 | 1 | no | — |
| 729 | C2×Q8 | — | 26 | 1 | no | — |
| 730 | C2×Q8 | — | 26 | 1 | no | — |
| 731 | C2×Q8 | — | 26 | 1 | no | — |
| 732 | C2×Q8 | — | 52 | 2 | no | — |
| 733 | C2×Q8 | — | 52 | 2 | no | — |
| 734 | C2×D4 | — | 2 | 1 | no | — |
| 735 | C2×D4 | — | 2 | 1 | no | — |
| 736 | C2×D4 | — | 4 | 2 | no | — |
| 737 | C2×D4 | — | 13 | 1 | no | — |
| 738 | C2×D4 | — | 26 | 4 | no | — |
| 739 | C2×D4 | — | 26 | 1 | no | — |
| 740 | C2×D4 | — | 26 | 1 | no | — |
| 741 | C2×D4 | — | 26 | 1 | no | — |
| 742 | C2×D4 | — | 26 | 1 | no | — |
| 743 | C2×D4 | — | 26 | 1 | no | — |
| 744 | C2×D4 | — | 26 | 1 | no | — |
| 745 | C2×D4 | — | 26 | 1 | no | — |
| 746 | C2×D4 | — | 52 | 2 | no | — |
| 747 | C2×D4 | — | 52 | 2 | no | — |
| 748 | C2×D4 | — | 52 | 2 | no | — |
| 749 | C2×D4 | — | 52 | 1 | no | — |
| 750 | C2×D4 | — | 52 | 1 | no | — |
| 751 | C2×D4 | — | 52 | 2 | no | — |
| 752 | C2×D4 | — | 104 | 1 | no | — |
| 753 | C22×C4 | — | 4 | 2 | no | — |
| 754 | C22×C4 | — | 26 | 1 | no | — |
| 755 | C22×C4 | — | 26 | 1 | no | — |
| 756 | C22×C4 | — | 26 | 1 | no | — |
| 757 | C22×C4 | — | 26 | 1 | no | — |
| 758 | C22×C4 | — | 26 | 1 | no | — |
| 759 | C22×C4 | — | 26 | 1 | no | — |
| 760 | C22×C4 | — | 26 | 1 | no | — |
| 761 | C22×C4 | — | 26 | 1 | no | — |
| 762 | C22×C4 | — | 26 | 1 | no | — |
| 763 | C22×C4 | — | 26 | 1 | no | — |
| 764 | C22×C4 | — | 52 | 2 | no | — |
| 765 | C22×C4 | — | 52 | 2 | no | — |
| 766 | C22×C4 | — | 52 | 2 | no | — |
| 767 | C22×C4 | — | 52 | 1 | no | — |
| 768 | C22×C4 | — | 52 | 1 | no | — |
| 769 | C22×C4 | — | 52 | 2 | no | — |
| 770 | C22×C4 | — | 104 | 1 | no | — |
| 771 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 772 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 773 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 774 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 775 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 776 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 777 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 778 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 779 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 780 | Q16 | — | 52 | 2 | no | — |
| 781 | Q16 | — | 52 | 2 | no | — |
| 782 | Q16 | — | 52 | 2 | no | — |
| 783 | SD16 | — | 52 | 2 | no | — |
| 784 | SD16 | — | 52 | 2 | no | — |
| 785 | SD16 | — | 52 | 2 | no | — |
| 786 | SD16 | — | 52 | 2 | no | — |
| 787 | D8 | — | 52 | 2 | no | — |
| 788 | M16 | — | 4 | 2 | no | — |
| 789 | C2×C8 | — | 2 | 1 | no | — |
| 790 | C2×C8 | — | 2 | 1 | no | — |
| 791 | C2×C8 | — | 2 | 1 | no | — |
| 792 | C2×C8 | — | 2 | 1 | no | — |
| 793 | C2×C8 | — | 4 | 2 | no | — |
| 794 | C4⋊C4 | — | 2 | 1 | no | — |
| 795 | C4⋊C4 | — | 2 | 1 | no | — |
| 796 | C4⋊C4 | — | 2 | 1 | no | — |
| 797 | C4⋊C4 | — | 2 | 1 | no | — |
| 798 | C4⋊C4 | — | 13 | 1 | no | — |
| 799 | C4⋊C4 | — | 13 | 1 | no | — |
| 800 | C4⋊C4 | — | 13 | 1 | no | — |
| 801 | C4⋊C4 | — | 13 | 1 | no | — |
| 802 | C4⋊C4 | — | 26 | 1 | no | — |
| 803 | C4⋊C4 | — | 26 | 1 | no | — |
| 804 | C4⋊C4 | — | 26 | 1 | no | — |
| 805 | C4⋊C4 | — | 26 | 1 | no | — |
| 806 | C4⋊C4 | — | 26 | 1 | no | — |
| 807 | C4⋊C4 | — | 26 | 1 | no | — |
| 808 | C4⋊C4 | — | 26 | 1 | no | — |
| 809 | C4⋊C4 | — | 26 | 1 | no | — |
| 810 | C4⋊C4 | — | 26 | 1 | no | — |
| 811 | C4⋊C4 | — | 26 | 1 | no | — |
| 812 | C4⋊C4 | — | 26 | 1 | no | — |
| 813 | C4⋊C4 | — | 26 | 1 | no | — |
| 814 | C4⋊C4 | — | 26 | 1 | no | — |
| 815 | C4⋊C4 | — | 26 | 1 | no | — |
| 816 | C4⋊C4 | — | 26 | 1 | no | — |
| 817 | C4⋊C4 | — | 26 | 1 | no | — |
| 818 | C4⋊C4 | — | 26 | 1 | no | — |
| 819 | C4⋊C4 | — | 26 | 1 | no | — |
| 820 | C4⋊C4 | — | 26 | 1 | no | — |
| 821 | C4⋊C4 | — | 52 | 2 | no | — |
| 822 | C22⋊C4 | — | 2 | 1 | no | — |
| 823 | C22⋊C4 | — | 2 | 1 | no | — |
| 824 | C22⋊C4 | — | 2 | 1 | no | — |
| 825 | C22⋊C4 | — | 2 | 1 | no | — |
| 826 | C22⋊C4 | — | 2 | 1 | no | — |
| 827 | C22⋊C4 | — | 2 | 1 | no | — |
| 828 | C22⋊C4 | — | 26 | 1 | no | — |
| 829 | C22⋊C4 | — | 26 | 1 | no | — |
| 830 | C22⋊C4 | — | 26 | 1 | no | — |
| 831 | C22⋊C4 | — | 26 | 1 | no | — |
| 832 | C22⋊C4 | — | 26 | 1 | no | — |
| 833 | C22⋊C4 | — | 26 | 1 | no | — |
| 834 | C22⋊C4 | — | 26 | 1 | no | — |
| 835 | C22⋊C4 | — | 26 | 1 | no | — |
| 836 | C22⋊C4 | — | 26 | 1 | no | — |
| 837 | C22⋊C4 | — | 26 | 1 | no | — |
| 838 | C22⋊C4 | — | 26 | 1 | no | — |
| 839 | C22⋊C4 | — | 26 | 1 | no | — |
| 840 | C22⋊C4 | — | 26 | 1 | no | — |
| 841 | C22⋊C4 | — | 26 | 1 | no | — |
| 842 | C22⋊C4 | — | 26 | 1 | no | — |
| 843 | C22⋊C4 | — | 26 | 1 | no | — |
| 844 | C22⋊C4 | — | 26 | 1 | no | — |
| 845 | C22⋊C4 | — | 52 | 2 | no | — |
| 846 | C22⋊C4 | — | 52 | 2 | no | — |
| 847 | C22⋊C4 | — | 52 | 2 | no | — |
| 848 | C22⋊C4 | — | 104 | 1 | no | — |
| 849 | C42 | — | 26 | 1 | no | — |
| 850 | C42 | — | 26 | 1 | no | — |
| 851 | C42 | — | 26 | 1 | no | — |
| 852 | C42 | — | 26 | 1 | no | — |
| 853 | C42 | — | 26 | 1 | no | — |
| 854 | C13 | #18253 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 855 | C23 | — | 2 | 2 | no | — |
| 856 | C23 | — | 2 | 1 | no | — |
| 857 | C23 | — | 2 | 1 | no | — |
| 858 | C23 | — | 2 | 1 | no | — |
| 859 | C23 | — | 2 | 1 | no | — |
| 860 | C23 | — | 2 | 1 | no | — |
| 861 | C23 | — | 4 | 1 | no | — |
| 862 | C23 | — | 4 | 1 | no | — |
| 863 | C23 | — | 4 | 1 | no | — |
| 864 | C23 | — | 26 | 2 | no | — |
| 865 | C23 | — | 26 | 1 | no | — |
| 866 | C23 | — | 52 | 1 | no | — |
| 867 | C23 | — | 52 | 1 | no | — |
| 868 | C23 | — | 52 | 1 | no | — |
| 869 | C23 | — | 52 | 1 | no | — |
| 870 | C23 | — | 52 | 1 | no | — |
| 871 | C23 | — | 52 | 1 | no | — |
| 872 | C23 | #88136 | 1 | 1 | yes | characteristic |
| 873 | C23 | #88136 | 1 | 1 | yes | characteristic |
| 874 | C23 | C22×D52 | 1 | 1 | yes | characteristic |
| 875 | Q8 | — | 26 | 2 | no | — |
| 876 | Q8 | — | 26 | 2 | no | — |
| 877 | Q8 | — | 52 | 1 | no | — |
| 878 | Q8 | — | 52 | 1 | no | — |
| 879 | Q8 | — | 52 | 1 | no | — |
| 880 | Q8 | — | 52 | 1 | no | — |
| 881 | Q8 | — | 52 | 1 | no | — |
| 882 | Q8 | — | 104 | 1 | no | — |
| 883 | Q8 | — | 104 | 1 | no | — |
| 884 | Q8 | — | 104 | 1 | no | — |
| 885 | D4 | — | 4 | 2 | no | — |
| 886 | D4 | — | 8 | 1 | no | — |
| 887 | D4 | — | 26 | 2 | no | — |
| 888 | D4 | — | 26 | 2 | no | — |
| 889 | D4 | — | 52 | 1 | no | — |
| 890 | D4 | — | 52 | 1 | no | — |
| 891 | D4 | — | 52 | 1 | no | — |
| 892 | D4 | — | 52 | 4 | no | — |
| 893 | D4 | — | 52 | 4 | no | — |
| 894 | D4 | — | 52 | 2 | no | — |
| 895 | D4 | — | 52 | 1 | no | — |
| 896 | D4 | — | 52 | 1 | no | — |
| 897 | D4 | — | 104 | 1 | no | — |
| 898 | D4 | — | 104 | 1 | no | — |
| 899 | D4 | — | 104 | 1 | no | — |
| 900 | D4 | — | 104 | 4 | no | — |
| 901 | C2×C4 | — | 2 | 2 | no | — |
| 902 | C2×C4 | — | 2 | 2 | no | — |
| 903 | C2×C4 | — | 2 | 1 | no | — |
| 904 | C2×C4 | — | 2 | 1 | no | — |
| 905 | C2×C4 | — | 2 | 1 | no | — |
| 906 | C2×C4 | — | 2 | 1 | no | — |
| 907 | C2×C4 | — | 2 | 1 | no | — |
| 908 | C2×C4 | — | 4 | 1 | no | — |
| 909 | C2×C4 | — | 4 | 1 | no | — |
| 910 | C2×C4 | — | 4 | 1 | no | — |
| 911 | C2×C4 | — | 4 | 1 | no | — |
| 912 | C2×C4 | — | 4 | 1 | no | — |
| 913 | C2×C4 | — | 4 | 1 | no | — |
| 914 | C2×C4 | — | 26 | 2 | no | — |
| 915 | C2×C4 | — | 26 | 2 | no | — |
| 916 | C2×C4 | — | 26 | 1 | no | — |
| 917 | C2×C4 | — | 26 | 1 | no | — |
| 918 | C2×C4 | — | 26 | 1 | no | — |
| 919 | C2×C4 | — | 26 | 1 | no | — |
| 920 | C2×C4 | — | 26 | 1 | no | — |
| 921 | C2×C4 | — | 26 | 1 | no | — |
| 922 | C2×C4 | — | 26 | 1 | no | — |
| 923 | C2×C4 | — | 52 | 4 | no | — |
| 924 | C2×C4 | — | 52 | 4 | no | — |
| 925 | C2×C4 | — | 52 | 1 | no | — |
| 926 | C2×C4 | — | 52 | 1 | no | — |
| 927 | C2×C4 | — | 52 | 2 | no | — |
| 928 | C2×C4 | — | 52 | 1 | no | — |
| 929 | C2×C4 | — | 52 | 1 | no | — |
| 930 | C2×C4 | — | 52 | 1 | no | — |
| 931 | C2×C4 | — | 52 | 1 | no | — |
| 932 | C2×C4 | — | 52 | 1 | no | — |
| 933 | C2×C4 | — | 104 | 1 | no | — |
| 934 | C2×C4 | — | 104 | 1 | no | — |
| 935 | C2×C4 | — | 104 | 1 | no | — |
| 936 | C2×C4 | — | 104 | 1 | no | — |
| 937 | C2×C4 | — | 104 | 1 | no | — |
| 938 | C2×C4 | — | 104 | 1 | no | — |
| 939 | C2×C4 | — | 104 | 4 | no | — |
| 940 | C2×C4 | #88136 | 1 | 1 | yes | characteristic |
| 941 | C2×C4 | #88136 | 1 | 1 | yes | characteristic |
| 942 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 943 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 944 | C8 | — | 4 | 1 | no | — |
| 945 | C8 | — | 4 | 1 | no | — |
| 946 | C8 | — | 4 | 1 | no | — |
| 947 | C8 | — | 4 | 1 | no | — |
| 948 | C22 | — | 2 | 1 | no | — |
| 949 | C22 | — | 2 | 1 | no | — |
| 950 | C22 | — | 2 | 1 | no | — |
| 951 | C22 | — | 2 | 1 | no | — |
| 952 | C22 | — | 2 | 1 | no | — |
| 953 | C22 | — | 2 | 1 | no | — |
| 954 | C22 | — | 2 | 1 | no | — |
| 955 | C22 | — | 4 | 2 | no | — |
| 956 | C22 | — | 4 | 2 | no | — |
| 957 | C22 | — | 4 | 1 | no | — |
| 958 | C22 | — | 4 | 1 | no | — |
| 959 | C22 | — | 4 | 1 | no | — |
| 960 | C22 | — | 8 | 1 | no | — |
| 961 | C22 | — | 8 | 1 | no | — |
| 962 | C22 | — | 52 | 2 | no | — |
| 963 | C22 | — | 52 | 2 | no | — |
| 964 | C22 | — | 52 | 1 | no | — |
| 965 | C22 | — | 52 | 1 | no | — |
| 966 | C22 | — | 52 | 2 | no | — |
| 967 | C22 | — | 52 | 1 | no | — |
| 968 | C22 | — | 104 | 1 | no | — |
| 969 | C22 | — | 104 | 1 | no | — |
| 970 | C22 | — | 104 | 1 | no | — |
| 971 | C22 | — | 104 | 1 | no | — |
| 972 | C22 | #11718402 | 1 | 2 | yes | — |
| 973 | C22 | C2×#88136 | 1 | 1 | yes | characteristic |
| 974 | C22 | #11719456 | 1 | 1 | yes | characteristic |
| 975 | C22 | #11719458 | 1 | 1 | yes | characteristic |
| 976 | C4 | — | 2 | 1 | no | — |
| 977 | C4 | — | 2 | 1 | no | — |
| 978 | C4 | — | 2 | 1 | no | — |
| 979 | C4 | — | 2 | 1 | no | — |
| 980 | C4 | — | 4 | 1 | no | — |
| 981 | C4 | — | 4 | 1 | no | — |
| 982 | C4 | — | 4 | 1 | no | — |
| 983 | C4 | — | 52 | 2 | no | — |
| 984 | C4 | — | 52 | 1 | no | — |
| 985 | C4 | — | 52 | 1 | no | — |
| 986 | C4 | — | 52 | 1 | no | — |
| 987 | C4 | — | 52 | 1 | no | — |
| 988 | C4 | — | 52 | 2 | no | — |
| 989 | C4 | — | 52 | 1 | no | — |
| 990 | C4 | — | 52 | 1 | no | — |
| 991 | C4 | — | 52 | 1 | no | — |
| 992 | C4 | — | 104 | 1 | no | — |
| 993 | C2 | — | 2 | 1 | no | — |
| 994 | C2 | — | 2 | 1 | no | — |
| 995 | C2 | — | 2 | 2 | no | — |
| 996 | C2 | — | 4 | 1 | no | — |
| 997 | C2 | — | 8 | 1 | no | — |
| 998 | C2 | — | 104 | 2 | no | — |
| 999 | C2 | — | 104 | 1 | no | — |
| 1000 | C2 | #13124154 | 1 | 1 | yes | characteristic |
| 1001 | C2 | #13124189 | 1 | 1 | yes | characteristic |
| 1002 | C2 | C2×#11718402 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129049 | C2 | semidirect |
| 2. #13124098 | C2 | semidirect |
| 3. #13124058 | C2 | semidirect |
| 4. #13118448 | C2 | semidirect |
| 5. #13113818 | C2 | semidirect |
| 6. #13113812 | C2 | semidirect |
| 7. #13113801 | C2 | semidirect |
| 8. #13113795 | C2 | semidirect |
| 9. #13113784 | C2 | semidirect |
| 10. #13113778 | C2 | semidirect |
| 11. #13113767 | C2 | semidirect |
| 12. #13113761 | C2 | semidirect |
| 13. #13113341 | C2 | semidirect |
| 14. C2×#11718059 | C2 | semidirect |
| 15. C13×#1468 | C2 | semidirect |
| 86. C2×#6127 | D4 | semidirect |
| 89. C22×Dic26 | D4 | semidirect |
| 115. #88184 | D4 | semidirect |
| 127. #88180 | D4 | semidirect |
| 128. C2×C4⋊Dic13 | D4 | semidirect |
| 133. #88178 | D4 | semidirect |
| 134. #88178 | D4 | semidirect |
| 135. #88178 | D4 | semidirect |
| 368. #1468 | D13 | semidirect |
| 854. C13 | #18253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129049 | 2 |
| #13124098 | 2 |
| #13124058 | 2 |
| #13118448 | 2 |
| #13113818 | 2 |
| #13113812 | 2 |
| #13113801 | 2 |
| #13113795 | 2 |
| #13113784 | 2 |
| #13113778 | 2 |
| #13113767 | 2 |
| #13113761 | 2 |
| #13113341 | 2 |
| C2×#11718059 | 2 |
| C13×#1468 | 2 |
| #18253 | 13 |