Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1020 conjugacy classes of subgroups.
The subgroup lattice has 980 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129053 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13125635 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13125600 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13120768 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13113871 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13113865 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13113864 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13113772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13113771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13113767 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13113766 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13113337 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | D13×#327 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #13113198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#1616 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C13×#537 | C22 | 1 | 1 | yes | characteristic |
| 17 | #11719534 | — | 2 | 1 | no | — |
| 18 | #11719529 | — | 2 | 1 | no | — |
| 19 | #11719352 | — | 2 | 1 | no | — |
| 20 | #11719345 | — | 2 | 1 | no | — |
| 21 | #11719341 | — | 2 | 1 | no | — |
| 22 | #11719339 | — | 2 | 1 | no | — |
| 23 | #11719326 | — | 2 | 1 | no | — |
| 24 | #11719318 | — | 2 | 1 | no | — |
| 25 | #11719315 | — | 2 | 1 | no | — |
| 26 | #11719315 | — | 2 | 1 | no | — |
| 27 | #11719311 | C22 | 1 | 1 | yes | characteristic |
| 28 | D13×#121 | C22 | 1 | 1 | yes | characteristic |
| 29 | #11719307 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11719303 | — | 2 | 1 | no | — |
| 31 | #11719302 | — | 2 | 1 | no | — |
| 32 | #11719302 | C22 | 1 | 1 | yes | characteristic |
| 33 | #11719220 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#88150 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#88149 | C22 | 1 | 1 | yes | characteristic |
| 36 | C13×#481 | C22 | 1 | 1 | yes | characteristic |
| 37 | C13×#481 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C13×#400 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #11718697 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11718697 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #11718652 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #11718643 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #11718631 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #11718629 | C22 | 1 | 1 | yes | characteristic |
| 45 | #11718527 | — | 2 | 1 | no | — |
| 46 | #11718526 | — | 2 | 1 | no | — |
| 47 | #11718525 | — | 2 | 1 | no | — |
| 48 | #11718524 | — | 2 | 1 | no | — |
| 49 | #11718443 | — | 2 | 1 | no | — |
| 50 | #11718442 | — | 2 | 1 | no | — |
| 51 | #11718436 | — | 2 | 1 | no | — |
| 52 | #11718434 | — | 2 | 1 | no | — |
| 53 | #11718393 | C22 | 1 | 1 | yes | characteristic |
| 54 | #11718392 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #11718387 | C22 | 1 | 1 | yes | characteristic |
| 56 | D13×C22⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 57 | #11718336 | — | 2 | 1 | no | — |
| 58 | #11718334 | — | 2 | 1 | no | — |
| 59 | #11718333 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #11718326 | — | 2 | 1 | no | — |
| 61 | #11718326 | — | 2 | 1 | no | — |
| 62 | D13×#95 | C22 | 1 | 1 | yes | characteristic |
| 63 | C13×#327 | C22 | 1 | 1 | yes | characteristic |
| 64 | C13×#327 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C13×#324 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #11718129 | C22 | 1 | 1 | yes | characteristic |
| 67 | #11718129 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #11718120 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #11718062 | C22 | 1 | 1 | yes | characteristic |
| 70 | #11718061 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #11718061 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | #11718059 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #11718044 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | #11718043 | C22 | 1 | 1 | yes | characteristic |
| 75 | C2×C13×#41 | — | 2 | 1 | no | — |
| 76 | C2×#6129 | — | 2 | 1 | no | — |
| 77 | C2×#6129 | — | 2 | 1 | no | — |
| 78 | C2×#6129 | D4 | 1 | 1 | yes | characteristic |
| 79 | C2×D4×D13 | — | 2 | 1 | no | — |
| 80 | C2×D4×D13 | D4 | 1 | 1 | yes | characteristic |
| 81 | C22×D52 | — | 2 | 1 | no | — |
| 82 | C22×D52 | C23 | 1 | 1 | yes | characteristic |
| 83 | C22×C4×D13 | — | 2 | 1 | no | — |
| 84 | C22×C4×D13 | C23 | 1 | 1 | yes | characteristic |
| 85 | C22×Dic26 | D4 | 1 | 1 | yes | characteristic |
| 86 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 87 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 88 | C13×#121 | — | 2 | 1 | no | — |
| 89 | C13×#121 | — | 2 | 1 | no | — |
| 90 | C13×#121 | — | 2 | 1 | no | — |
| 91 | C13×#121 | C23 | 1 | 1 | yes | characteristic |
| 92 | C13×#121 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C13×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×C13×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 95 | #88201 | — | 2 | 1 | no | — |
| 96 | #88200 | — | 2 | 1 | no | — |
| 97 | #88200 | — | 2 | 1 | no | — |
| 98 | #88198 | — | 2 | 1 | no | — |
| 99 | #88193 | — | 2 | 1 | no | — |
| 100 | #88193 | — | 2 | 1 | no | — |
| 101 | #88193 | — | 2 | 1 | no | — |
| 102 | #88193 | — | 2 | 1 | no | — |
| 103 | #88193 | — | 2 | 1 | no | — |
| 104 | #88193 | — | 2 | 1 | no | — |
| 105 | #88192 | D4 | 1 | 1 | yes | characteristic |
| 106 | #88192 | D4 | 1 | 1 | yes | characteristic |
| 107 | #88191 | — | 2 | 1 | no | — |
| 108 | #88191 | — | 2 | 1 | no | — |
| 109 | #88191 | — | 2 | 1 | no | — |
| 110 | #88190 | — | 2 | 1 | no | — |
| 111 | #88189 | — | 2 | 1 | no | — |
| 112 | #88189 | — | 2 | 1 | no | — |
| 113 | #88189 | — | 2 | 1 | no | — |
| 114 | D4×Dic13 | — | 2 | 1 | no | — |
| 115 | D4×Dic13 | — | 2 | 1 | no | — |
| 116 | C2×#6104 | — | 2 | 1 | no | — |
| 117 | C2×#6104 | — | 2 | 1 | no | — |
| 118 | #88184 | — | 2 | 1 | no | — |
| 119 | #88184 | C23 | 1 | 1 | yes | characteristic |
| 120 | #88183 | — | 2 | 1 | no | — |
| 121 | #88183 | — | 2 | 1 | no | — |
| 122 | #88183 | — | 2 | 1 | no | — |
| 123 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 124 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 125 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 126 | C2×#6103 | — | 2 | 1 | no | — |
| 127 | C2×#6103 | — | 2 | 1 | no | — |
| 128 | C2×#6103 | — | 2 | 1 | no | — |
| 129 | C2×#6103 | — | 2 | 1 | no | — |
| 130 | C2×#6103 | — | 2 | 1 | no | — |
| 131 | C2×#6103 | — | 2 | 1 | no | — |
| 132 | C2×#6103 | D4 | 1 | 1 | yes | characteristic |
| 133 | C2×#6103 | D4 | 1 | 1 | yes | characteristic |
| 134 | #88178 | — | 2 | 1 | no | — |
| 135 | #88178 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×#6101 | — | 2 | 1 | no | — |
| 137 | C2×#6101 | D4 | 1 | 1 | yes | characteristic |
| 138 | C2×#6101 | C23 | 1 | 1 | yes | characteristic |
| 139 | C2×D104 | — | 2 | 1 | no | — |
| 140 | C2×#6095 | — | 2 | 1 | no | — |
| 141 | C2×#6094 | — | 2 | 1 | no | — |
| 142 | C2×C8×D13 | — | 2 | 1 | no | — |
| 143 | #88152 | — | 2 | 1 | no | — |
| 144 | #88151 | — | 2 | 1 | no | — |
| 145 | #88151 | D4 | 1 | 1 | yes | characteristic |
| 146 | #88150 | — | 2 | 1 | no | — |
| 147 | #88150 | — | 2 | 1 | no | — |
| 148 | #88150 | — | 2 | 1 | no | — |
| 149 | #88150 | — | 2 | 1 | no | — |
| 150 | #88150 | — | 2 | 1 | no | — |
| 151 | #88150 | — | 2 | 1 | no | — |
| 152 | #88150 | — | 2 | 1 | no | — |
| 153 | #88149 | — | 2 | 1 | no | — |
| 154 | #88149 | — | 2 | 1 | no | — |
| 155 | #88149 | — | 2 | 1 | no | — |
| 156 | #88149 | — | 2 | 1 | no | — |
| 157 | #88149 | D4 | 1 | 1 | yes | characteristic |
| 158 | #88148 | — | 2 | 1 | no | — |
| 159 | #88148 | — | 2 | 1 | no | — |
| 160 | #88146 | D4 | 1 | 1 | yes | characteristic |
| 161 | C4⋊C4×D13 | D4 | 1 | 1 | yes | characteristic |
| 162 | #88143 | — | 2 | 1 | no | — |
| 163 | #88143 | — | 2 | 1 | no | — |
| 164 | #88141 | — | 2 | 1 | no | — |
| 165 | #88139 | — | 2 | 1 | no | — |
| 166 | #88139 | — | 2 | 1 | no | — |
| 167 | #88139 | — | 2 | 1 | no | — |
| 168 | #88138 | — | 2 | 1 | no | — |
| 169 | #88138 | — | 2 | 1 | no | — |
| 170 | #88138 | — | 2 | 1 | no | — |
| 171 | #88137 | — | 2 | 1 | no | — |
| 172 | #88135 | — | 2 | 1 | no | — |
| 173 | #88135 | — | 2 | 1 | no | — |
| 174 | C22⋊C4×D13 | — | 2 | 1 | no | — |
| 175 | C22⋊C4×D13 | — | 2 | 1 | no | — |
| 176 | #88133 | — | 2 | 1 | no | — |
| 177 | #88132 | — | 2 | 1 | no | — |
| 178 | #88132 | — | 2 | 1 | no | — |
| 179 | #88132 | — | 2 | 1 | no | — |
| 180 | #88132 | — | 2 | 1 | no | — |
| 181 | C13×#106 | — | 2 | 1 | no | — |
| 182 | C13×#106 | — | 2 | 1 | no | — |
| 183 | C13×#102 | — | 2 | 1 | no | — |
| 184 | C13×#102 | — | 2 | 1 | no | — |
| 185 | C13×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 186 | C13×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 187 | C13×#95 | — | 2 | 1 | no | — |
| 188 | C13×#95 | — | 2 | 1 | no | — |
| 189 | C13×#95 | C23 | 1 | 1 | yes | characteristic |
| 190 | #88071 | — | 2 | 1 | no | — |
| 191 | #88071 | — | 2 | 1 | no | — |
| 192 | #88071 | — | 2 | 1 | no | — |
| 193 | #88071 | C23 | 1 | 1 | yes | characteristic |
| 194 | C22⋊#1055 | C23 | 1 | 1 | yes | characteristic |
| 195 | C22⋊#1055 | C23 | 1 | 1 | yes | characteristic |
| 196 | #88061 | — | 2 | 1 | no | — |
| 197 | #88061 | — | 2 | 1 | no | — |
| 198 | #88060 | — | 2 | 1 | no | — |
| 199 | #88060 | — | 2 | 1 | no | — |
| 200 | #88050 | — | 2 | 1 | no | — |
| 201 | #88049 | — | 2 | 1 | no | — |
| 202 | #88049 | — | 2 | 1 | no | — |
| 203 | #88049 | — | 2 | 1 | no | — |
| 204 | #88048 | — | 2 | 1 | no | — |
| 205 | #88047 | — | 2 | 1 | no | — |
| 206 | #18424 | — | 13 | 1 | no | maximal, Sylow |
| 207 | C23×D13 | — | 2 | 1 | no | — |
| 208 | C23×D13 | — | 2 | 1 | no | — |
| 209 | C23×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C13×#41 | — | 8 | 1 | no | — |
| 211 | C13×#41 | — | 8 | 1 | no | — |
| 212 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 213 | C2×D4×C13 | — | 2 | 1 | no | — |
| 214 | C2×D4×C13 | — | 2 | 1 | no | — |
| 215 | C2×D4×C13 | — | 2 | 1 | no | — |
| 216 | C2×D4×C13 | — | 2 | 1 | no | — |
| 217 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C22×C4×C13 | — | 2 | 1 | no | — |
| 220 | C22×C4×C13 | — | 2 | 1 | no | — |
| 221 | C22×C4×C13 | — | 2 | 1 | no | — |
| 222 | C22×C4×C13 | — | 2 | 1 | no | — |
| 223 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 226 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 227 | C2×C22⋊D13 | — | 2 | 1 | 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 | C22×Dic13 | — | 2 | 1 | no | — |
| 234 | C22×Dic13 | — | 2 | 1 | no | — |
| 235 | C22×Dic13 | — | 2 | 1 | no | — |
| 236 | C22×Dic13 | — | 2 | 1 | no | — |
| 237 | C22×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C22×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C22×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | #6129 | — | 8 | 1 | no | — |
| 241 | #6129 | — | 8 | 2 | no | — |
| 242 | #6129 | — | 8 | 1 | no | — |
| 243 | #6129 | — | 8 | 1 | no | — |
| 244 | D4×D13 | — | 8 | 1 | no | — |
| 245 | D4×D13 | — | 8 | 1 | no | — |
| 246 | D4×D13 | — | 8 | 1 | no | — |
| 247 | C2×D52 | — | 2 | 1 | no | — |
| 248 | C2×D52 | — | 2 | 1 | no | — |
| 249 | C2×D52 | — | 2 | 1 | no | — |
| 250 | C2×D52 | — | 4 | 2 | no | — |
| 251 | C2×D52 | — | 4 | 2 | no | — |
| 252 | C2×D52 | — | 4 | 1 | no | — |
| 253 | C2×D52 | — | 4 | 1 | no | — |
| 254 | C2×D52 | — | 8 | 1 | no | — |
| 255 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×C4×D13 | — | 2 | 1 | no | — |
| 257 | C2×C4×D13 | — | 2 | 1 | no | — |
| 258 | C2×C4×D13 | — | 2 | 1 | no | — |
| 259 | C2×C4×D13 | — | 4 | 2 | no | — |
| 260 | C2×C4×D13 | — | 8 | 1 | no | — |
| 261 | C2×C4×D13 | — | 8 | 1 | no | — |
| 262 | C2×C4×D13 | — | 8 | 1 | no | — |
| 263 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 265 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C2×Dic26 | — | 2 | 1 | no | — |
| 268 | C2×Dic26 | — | 2 | 1 | no | — |
| 269 | C2×Dic26 | — | 2 | 1 | no | — |
| 270 | C2×Dic26 | — | 8 | 1 | no | — |
| 271 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C2×C8×C13 | — | 2 | 1 | no | — |
| 273 | C2×C8×C13 | — | 2 | 1 | no | — |
| 274 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 275 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 276 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 277 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 278 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 279 | C13×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C13×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 282 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 283 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 284 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 285 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 286 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 287 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 288 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 289 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 290 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 291 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 292 | #6104 | — | 8 | 1 | no | — |
| 293 | #6104 | — | 8 | 1 | no | — |
| 294 | #6103 | — | 2 | 1 | no | — |
| 295 | #6103 | — | 2 | 1 | no | — |
| 296 | #6103 | — | 2 | 1 | no | — |
| 297 | #6103 | — | 2 | 1 | no | — |
| 298 | #6103 | — | 2 | 1 | no | — |
| 299 | #6103 | — | 2 | 1 | no | — |
| 300 | #6103 | — | 2 | 1 | no | — |
| 301 | #6103 | — | 2 | 1 | no | — |
| 302 | #6103 | — | 2 | 1 | no | — |
| 303 | #6103 | — | 2 | 1 | no | — |
| 304 | #6103 | — | 2 | 1 | no | — |
| 305 | #6103 | — | 2 | 1 | no | — |
| 306 | #6103 | — | 4 | 1 | no | — |
| 307 | #6103 | — | 4 | 1 | no | — |
| 308 | #6103 | — | 8 | 1 | no | — |
| 309 | #6103 | — | 8 | 1 | no | — |
| 310 | #6103 | — | 8 | 1 | no | — |
| 311 | #6103 | — | 8 | 1 | no | — |
| 312 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 313 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 314 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 315 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | #6101 | — | 2 | 1 | no | — |
| 317 | #6101 | — | 2 | 1 | no | — |
| 318 | #6101 | — | 2 | 1 | no | — |
| 319 | #6101 | — | 2 | 1 | no | — |
| 320 | #6101 | — | 2 | 1 | no | — |
| 321 | #6101 | — | 2 | 1 | no | — |
| 322 | #6101 | — | 2 | 1 | no | — |
| 323 | #6101 | — | 2 | 1 | no | — |
| 324 | #6101 | — | 2 | 1 | no | — |
| 325 | #6101 | — | 2 | 1 | no | — |
| 326 | #6101 | — | 2 | 1 | no | — |
| 327 | #6101 | — | 2 | 1 | no | — |
| 328 | C4×Dic13 | — | 2 | 1 | no | — |
| 329 | C4×Dic13 | — | 2 | 1 | no | — |
| 330 | C4×Dic13 | — | 2 | 1 | no | — |
| 331 | C2×#1055 | — | 2 | 1 | no | — |
| 332 | C2×#1055 | — | 2 | 1 | no | — |
| 333 | D104 | — | 8 | 1 | no | — |
| 334 | #6095 | — | 8 | 1 | no | — |
| 335 | #6094 | — | 8 | 1 | no | — |
| 336 | C8×D13 | — | 8 | 1 | no | — |
| 337 | #3536 | — | 13 | 1 | no | — |
| 338 | #3192 | — | 13 | 1 | no | — |
| 339 | #3188 | — | 13 | 1 | no | — |
| 340 | #2639 | — | 13 | 1 | no | — |
| 341 | #1616 | — | 13 | 1 | no | — |
| 342 | #1616 | D13 | 1 | 1 | yes | characteristic, complemented |
| 343 | #1615 | — | 13 | 1 | no | — |
| 344 | #1615 | — | 13 | 1 | no | — |
| 345 | #1598 | — | 13 | 1 | no | — |
| 346 | #1598 | — | 13 | 1 | no | — |
| 347 | #1597 | — | 13 | 1 | no | — |
| 348 | #1597 | — | 13 | 1 | no | — |
| 349 | #1504 | — | 13 | 1 | no | — |
| 350 | C2×#327 | — | 13 | 1 | no | — |
| 351 | #1472 | — | 13 | 1 | no | — |
| 352 | C23×C13 | — | 2 | 1 | no | — |
| 353 | C23×C13 | — | 2 | 1 | no | — |
| 354 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 355 | C22×D13 | — | 2 | 1 | no | — |
| 356 | C22×D13 | — | 2 | 1 | no | — |
| 357 | C22×D13 | — | 2 | 2 | no | — |
| 358 | C22×D13 | — | 2 | 1 | no | — |
| 359 | C22×D13 | — | 4 | 1 | no | — |
| 360 | C22×D13 | — | 4 | 2 | no | — |
| 361 | C22×D13 | — | 4 | 1 | no | — |
| 362 | C22×D13 | — | 4 | 1 | no | — |
| 363 | C22×D13 | — | 4 | 1 | no | — |
| 364 | C22×D13 | — | 4 | 1 | no | — |
| 365 | C22×D13 | — | 4 | 1 | no | — |
| 366 | C22×D13 | — | 4 | 1 | no | — |
| 367 | C22×D13 | — | 4 | 1 | no | — |
| 368 | C22×D13 | — | 8 | 1 | no | — |
| 369 | C22×D13 | — | 8 | 1 | no | — |
| 370 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 371 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 372 | Q8×C13 | — | 8 | 1 | no | — |
| 373 | D4×C13 | — | 4 | 1 | no | — |
| 374 | D4×C13 | — | 4 | 1 | no | — |
| 375 | D4×C13 | — | 4 | 1 | no | — |
| 376 | D4×C13 | — | 4 | 1 | no | — |
| 377 | D4×C13 | — | 4 | 1 | no | — |
| 378 | D4×C13 | — | 4 | 1 | no | — |
| 379 | D4×C13 | — | 8 | 1 | no | — |
| 380 | D4×C13 | — | 8 | 1 | no | — |
| 381 | C2×C4×C13 | — | 2 | 1 | no | — |
| 382 | C2×C4×C13 | — | 2 | 1 | no | — |
| 383 | C2×C4×C13 | — | 2 | 1 | no | — |
| 384 | C2×C4×C13 | — | 2 | 1 | no | — |
| 385 | C2×C4×C13 | — | 2 | 1 | no | — |
| 386 | C2×C4×C13 | — | 2 | 1 | no | — |
| 387 | C2×C4×C13 | — | 4 | 1 | no | — |
| 388 | C2×C4×C13 | — | 4 | 1 | no | — |
| 389 | C2×C4×C13 | — | 4 | 1 | no | — |
| 390 | C2×C4×C13 | — | 4 | 1 | no | — |
| 391 | C2×C4×C13 | — | 4 | 1 | no | — |
| 392 | C2×C4×C13 | — | 4 | 1 | no | — |
| 393 | C2×C4×C13 | — | 4 | 1 | no | — |
| 394 | C2×C4×C13 | — | 4 | 1 | no | — |
| 395 | C2×C4×C13 | — | 8 | 1 | no | — |
| 396 | C2×C4×C13 | — | 8 | 1 | no | — |
| 397 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 398 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 399 | C22⋊D13 | — | 4 | 2 | no | — |
| 400 | C22⋊D13 | — | 4 | 1 | no | — |
| 401 | C22⋊D13 | — | 4 | 1 | no | — |
| 402 | C22⋊D13 | — | 4 | 2 | no | — |
| 403 | C22⋊D13 | — | 8 | 1 | no | — |
| 404 | C22⋊D13 | — | 8 | 1 | no | — |
| 405 | C22⋊D13 | — | 8 | 1 | no | — |
| 406 | C22⋊D13 | — | 8 | 1 | no | — |
| 407 | C2×Dic13 | — | 2 | 1 | no | — |
| 408 | C2×Dic13 | — | 2 | 1 | no | — |
| 409 | C2×Dic13 | — | 2 | 1 | no | — |
| 410 | C2×Dic13 | — | 2 | 1 | no | — |
| 411 | C2×Dic13 | — | 2 | 1 | no | — |
| 412 | C2×Dic13 | — | 2 | 1 | no | — |
| 413 | C2×Dic13 | — | 2 | 1 | no | — |
| 414 | C2×Dic13 | — | 4 | 1 | no | — |
| 415 | C2×Dic13 | — | 4 | 2 | no | — |
| 416 | C2×Dic13 | — | 4 | 1 | no | — |
| 417 | C2×Dic13 | — | 4 | 1 | no | — |
| 418 | C2×Dic13 | — | 4 | 1 | no | — |
| 419 | C2×Dic13 | — | 4 | 1 | no | — |
| 420 | C2×Dic13 | — | 8 | 1 | no | — |
| 421 | C2×Dic13 | — | 8 | 1 | no | — |
| 422 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 423 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 424 | D52 | — | 4 | 1 | no | — |
| 425 | D52 | — | 4 | 1 | no | — |
| 426 | D52 | — | 4 | 1 | no | — |
| 427 | D52 | — | 4 | 1 | no | — |
| 428 | D52 | — | 4 | 1 | no | — |
| 429 | D52 | — | 8 | 1 | no | — |
| 430 | D52 | — | 8 | 2 | no | — |
| 431 | D52 | — | 8 | 2 | no | — |
| 432 | C4×D13 | — | 4 | 1 | no | — |
| 433 | C4×D13 | — | 4 | 1 | no | — |
| 434 | C4×D13 | — | 4 | 1 | no | — |
| 435 | C4×D13 | — | 4 | 1 | no | — |
| 436 | C4×D13 | — | 8 | 1 | no | — |
| 437 | C4×D13 | — | 8 | 1 | no | — |
| 438 | C4×D13 | — | 8 | 1 | no | — |
| 439 | C4×D13 | — | 8 | 4 | no | — |
| 440 | Dic26 | — | 4 | 2 | no | — |
| 441 | Dic26 | — | 4 | 1 | no | — |
| 442 | Dic26 | — | 8 | 1 | no | — |
| 443 | Dic26 | — | 8 | 1 | no | — |
| 444 | C8×C13 | — | 4 | 1 | no | — |
| 445 | C8×C13 | — | 4 | 1 | no | — |
| 446 | #1055 | — | 4 | 1 | no | — |
| 447 | #1055 | — | 4 | 1 | no | — |
| 448 | #562 | — | 26 | 1 | no | — |
| 449 | #562 | — | 26 | 1 | no | — |
| 450 | #554 | — | 26 | 1 | no | — |
| 451 | #548 | — | 26 | 1 | no | — |
| 452 | #547 | — | 26 | 1 | no | — |
| 453 | #546 | — | 26 | 1 | no | — |
| 454 | #546 | — | 26 | 1 | no | — |
| 455 | #546 | — | 26 | 1 | no | — |
| 456 | #543 | — | 26 | 1 | no | — |
| 457 | #542 | — | 26 | 1 | no | — |
| 458 | #539 | — | 13 | 1 | no | — |
| 459 | #539 | — | 13 | 1 | no | — |
| 460 | #538 | — | 26 | 1 | no | — |
| 461 | #537 | — | 13 | 1 | no | — |
| 462 | #537 | — | 26 | 1 | no | — |
| 463 | #537 | C2×D13 | 1 | 1 | yes | characteristic |
| 464 | #525 | — | 13 | 1 | no | — |
| 465 | C2×C22⋊Q8 | — | 13 | 1 | no | — |
| 466 | C2×#121 | — | 13 | 1 | no | — |
| 467 | C2×#121 | — | 13 | 1 | no | — |
| 468 | #484 | — | 13 | 1 | no | — |
| 469 | #482 | — | 26 | 1 | no | — |
| 470 | #481 | — | 13 | 1 | no | — |
| 471 | #481 | — | 26 | 1 | no | — |
| 472 | #481 | C2×D13 | 1 | 1 | yes | characteristic |
| 473 | #481 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 474 | #469 | — | 26 | 1 | no | — |
| 475 | #469 | — | 26 | 1 | no | — |
| 476 | #466 | — | 26 | 1 | no | — |
| 477 | #465 | — | 26 | 1 | no | — |
| 478 | #450 | — | 13 | 1 | no | — |
| 479 | #449 | — | 26 | 1 | no | — |
| 480 | #447 | — | 13 | 1 | no | — |
| 481 | #447 | — | 13 | 1 | no | — |
| 482 | #447 | — | 13 | 1 | no | — |
| 483 | #447 | — | 26 | 1 | no | — |
| 484 | #407 | — | 13 | 1 | no | — |
| 485 | C2×C22⋊C8 | — | 13 | 1 | no | — |
| 486 | #400 | — | 13 | 1 | no | — |
| 487 | #400 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 488 | #397 | — | 26 | 1 | no | — |
| 489 | #394 | — | 13 | 1 | no | — |
| 490 | #394 | — | 13 | 1 | no | — |
| 491 | #393 | — | 26 | 1 | no | — |
| 492 | #386 | — | 26 | 1 | no | — |
| 493 | #386 | — | 26 | 1 | no | — |
| 494 | C2×#95 | — | 13 | 1 | no | — |
| 495 | #328 | — | 13 | 1 | no | — |
| 496 | #328 | — | 13 | 1 | no | — |
| 497 | #327 | — | 13 | 1 | no | — |
| 498 | #327 | — | 13 | 1 | no | — |
| 499 | #327 | — | 13 | 1 | no | — |
| 500 | #327 | — | 13 | 1 | no | — |
| 501 | #327 | C2×D13 | 1 | 1 | yes | characteristic |
| 502 | #327 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 503 | #324 | — | 13 | 1 | no | — |
| 504 | #324 | — | 13 | 1 | no | — |
| 505 | #324 | — | 13 | 1 | no | — |
| 506 | #324 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 507 | C22×C13 | — | 2 | 1 | no | — |
| 508 | C22×C13 | — | 2 | 1 | no | — |
| 509 | C22×C13 | — | 4 | 1 | no | — |
| 510 | C22×C13 | — | 4 | 1 | no | — |
| 511 | C22×C13 | — | 4 | 1 | no | — |
| 512 | C22×C13 | — | 4 | 1 | no | — |
| 513 | C22×C13 | — | 4 | 1 | no | — |
| 514 | C22×C13 | — | 4 | 1 | no | — |
| 515 | C22×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 516 | C22×C13 | #576 | 1 | 1 | yes | characteristic |
| 517 | C22×C13 | #577 | 1 | 1 | yes | characteristic |
| 518 | C2×D13 | — | 2 | 1 | no | — |
| 519 | C2×D13 | — | 2 | 1 | no | — |
| 520 | C2×D13 | — | 2 | 1 | no | — |
| 521 | C2×D13 | — | 2 | 1 | no | — |
| 522 | C2×D13 | — | 2 | 1 | no | — |
| 523 | C2×D13 | — | 4 | 2 | no | — |
| 524 | C2×D13 | — | 4 | 2 | no | — |
| 525 | C2×D13 | — | 4 | 1 | no | — |
| 526 | C2×D13 | — | 4 | 1 | no | — |
| 527 | C2×D13 | — | 4 | 1 | no | — |
| 528 | C2×D13 | — | 8 | 1 | no | — |
| 529 | C2×D13 | — | 8 | 1 | no | — |
| 530 | C2×D13 | — | 8 | 1 | no | — |
| 531 | C2×D13 | — | 8 | 1 | no | — |
| 532 | C2×D13 | — | 8 | 1 | no | — |
| 533 | C2×D13 | — | 8 | 1 | no | — |
| 534 | C2×D13 | — | 8 | 1 | no | — |
| 535 | C2×D13 | — | 16 | 2 | no | — |
| 536 | C2×D13 | #454 | 1 | 2 | yes | — |
| 537 | C4×C13 | — | 2 | 1 | no | — |
| 538 | C4×C13 | — | 2 | 1 | no | — |
| 539 | C4×C13 | — | 4 | 1 | no | — |
| 540 | C4×C13 | — | 4 | 1 | no | — |
| 541 | C4×C13 | — | 4 | 1 | no | — |
| 542 | C4×C13 | — | 4 | 1 | no | — |
| 543 | C4×C13 | — | 8 | 1 | no | — |
| 544 | C4×C13 | — | 8 | 1 | no | — |
| 545 | Dic13 | — | 2 | 1 | no | — |
| 546 | Dic13 | — | 2 | 1 | no | — |
| 547 | Dic13 | — | 4 | 1 | no | — |
| 548 | Dic13 | — | 4 | 1 | no | — |
| 549 | Dic13 | — | 4 | 1 | no | — |
| 550 | Dic13 | — | 4 | 1 | no | — |
| 551 | Dic13 | — | 4 | 1 | no | — |
| 552 | Dic13 | — | 8 | 1 | no | — |
| 553 | C2×#41 | — | 2 | 1 | no | — |
| 554 | C2×#41 | — | 13 | 1 | no | — |
| 555 | C2×#41 | — | 26 | 1 | no | — |
| 556 | C2×#41 | — | 26 | 1 | no | — |
| 557 | C22×Q8 | — | 13 | 1 | no | — |
| 558 | C22×D4 | — | 13 | 1 | no | — |
| 559 | C22×D4 | — | 13 | 1 | no | — |
| 560 | C22×D4 | — | 26 | 1 | no | — |
| 561 | C22×D4 | — | 26 | 1 | no | — |
| 562 | C23×C4 | — | 13 | 1 | no | — |
| 563 | C23×C4 | — | 26 | 1 | no | — |
| 564 | C2×SD16 | — | 26 | 1 | no | — |
| 565 | C2×D8 | — | 26 | 1 | no | — |
| 566 | C2×D8 | — | 26 | 1 | no | — |
| 567 | C2×D8 | — | 26 | 1 | no | — |
| 568 | C2×M16 | — | 26 | 1 | no | — |
| 569 | C22×C8 | — | 26 | 1 | no | — |
| 570 | C4⋊Q8 | — | 26 | 1 | no | — |
| 571 | #126 | — | 26 | 1 | no | — |
| 572 | #126 | — | 26 | 1 | no | — |
| 573 | #125 | — | 26 | 1 | no | — |
| 574 | #125 | — | 26 | 1 | no | — |
| 575 | #124 | — | 26 | 1 | no | — |
| 576 | #124 | — | 26 | 1 | no | — |
| 577 | #124 | — | 26 | 1 | no | — |
| 578 | #124 | — | 26 | 1 | no | — |
| 579 | #124 | — | 26 | 1 | no | — |
| 580 | #123 | — | 26 | 1 | no | — |
| 581 | #123 | — | 26 | 1 | no | — |
| 582 | #123 | — | 26 | 1 | no | — |
| 583 | #123 | — | 26 | 1 | no | — |
| 584 | #123 | — | 26 | 1 | no | — |
| 585 | #123 | — | 26 | 1 | no | — |
| 586 | #123 | — | 26 | 1 | no | — |
| 587 | #123 | — | 26 | 1 | no | — |
| 588 | #123 | — | 26 | 1 | no | — |
| 589 | C22⋊Q8 | — | 2 | 1 | no | — |
| 590 | C22⋊Q8 | — | 2 | 1 | no | — |
| 591 | C22⋊Q8 | — | 13 | 1 | no | — |
| 592 | C22⋊Q8 | — | 13 | 1 | no | — |
| 593 | C22⋊Q8 | — | 26 | 1 | no | — |
| 594 | C22⋊Q8 | — | 26 | 1 | no | — |
| 595 | C22⋊Q8 | — | 26 | 1 | no | — |
| 596 | C22⋊Q8 | — | 26 | 1 | no | — |
| 597 | C22⋊Q8 | — | 26 | 1 | no | — |
| 598 | C22⋊Q8 | — | 26 | 1 | no | — |
| 599 | C22⋊Q8 | — | 26 | 1 | no | — |
| 600 | C22⋊Q8 | — | 26 | 1 | no | — |
| 601 | C22⋊Q8 | — | 26 | 1 | no | — |
| 602 | C22⋊Q8 | — | 26 | 1 | no | — |
| 603 | C22⋊Q8 | — | 26 | 1 | no | — |
| 604 | C22⋊Q8 | — | 26 | 1 | no | — |
| 605 | C22⋊Q8 | — | 26 | 1 | no | — |
| 606 | C22⋊Q8 | — | 26 | 1 | no | — |
| 607 | C22⋊Q8 | — | 26 | 1 | no | — |
| 608 | #121 | — | 2 | 1 | no | — |
| 609 | #121 | — | 2 | 1 | no | — |
| 610 | #121 | — | 2 | 1 | no | — |
| 611 | #121 | — | 13 | 1 | no | — |
| 612 | #121 | — | 13 | 1 | no | — |
| 613 | #121 | — | 13 | 1 | no | — |
| 614 | #121 | — | 13 | 1 | no | — |
| 615 | #121 | — | 26 | 1 | no | — |
| 616 | #121 | — | 26 | 1 | no | — |
| 617 | #121 | — | 26 | 1 | no | — |
| 618 | #121 | — | 26 | 1 | no | — |
| 619 | #121 | — | 26 | 1 | no | — |
| 620 | #121 | — | 26 | 1 | no | — |
| 621 | #121 | — | 26 | 1 | no | — |
| 622 | #121 | — | 26 | 1 | no | — |
| 623 | #121 | — | 26 | 1 | no | — |
| 624 | #121 | — | 26 | 1 | no | — |
| 625 | #121 | — | 26 | 1 | no | — |
| 626 | #121 | — | 26 | 1 | no | — |
| 627 | #121 | — | 26 | 1 | no | — |
| 628 | #121 | — | 26 | 1 | no | — |
| 629 | #121 | C22×D13 | 1 | 1 | yes | characteristic |
| 630 | #121 | C22×D13 | 1 | 1 | yes | characteristic |
| 631 | #120 | — | 26 | 1 | no | — |
| 632 | #120 | — | 26 | 1 | no | — |
| 633 | #120 | — | 26 | 1 | no | — |
| 634 | C4×Q8 | — | 26 | 1 | no | — |
| 635 | C4×D4 | — | 26 | 1 | no | — |
| 636 | C4×D4 | — | 26 | 1 | no | — |
| 637 | C4×D4 | — | 26 | 1 | no | — |
| 638 | C4×D4 | — | 26 | 1 | no | — |
| 639 | C4×D4 | — | 26 | 1 | no | — |
| 640 | C4×D4 | — | 26 | 1 | no | — |
| 641 | C4×D4 | — | 26 | 1 | no | — |
| 642 | #117 | — | 13 | 1 | no | — |
| 643 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 644 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 645 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 646 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 647 | C2×C4⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 648 | C2×C4⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 649 | C2×C22⋊C4 | — | 13 | 1 | no | — |
| 650 | C2×C22⋊C4 | — | 13 | 1 | no | — |
| 651 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 652 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 653 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 654 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 655 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 656 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 657 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 658 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 659 | #107 | — | 26 | 1 | no | — |
| 660 | #106 | — | 2 | 1 | no | — |
| 661 | #106 | — | 2 | 1 | no | — |
| 662 | #106 | — | 26 | 1 | no | — |
| 663 | #103 | — | 26 | 1 | no | — |
| 664 | #102 | — | 2 | 1 | no | — |
| 665 | #102 | — | 2 | 1 | no | — |
| 666 | #102 | — | 26 | 1 | no | — |
| 667 | #102 | — | 26 | 1 | no | — |
| 668 | #102 | — | 26 | 1 | no | — |
| 669 | #102 | — | 26 | 1 | no | — |
| 670 | #102 | — | 26 | 1 | no | — |
| 671 | C22⋊C8 | — | 13 | 1 | no | — |
| 672 | C22⋊C8 | — | 13 | 1 | no | — |
| 673 | C22⋊C8 | — | 26 | 1 | no | — |
| 674 | C22⋊C8 | — | 26 | 1 | no | — |
| 675 | C22⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 676 | C22⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 677 | #95 | — | 2 | 1 | no | — |
| 678 | #95 | — | 2 | 1 | no | — |
| 679 | #95 | — | 13 | 1 | no | — |
| 680 | #95 | — | 26 | 1 | no | — |
| 681 | #95 | — | 26 | 1 | no | — |
| 682 | #95 | — | 26 | 1 | no | — |
| 683 | #95 | C22×D13 | 1 | 1 | yes | characteristic |
| 684 | C2×C13 | — | 2 | 1 | no | — |
| 685 | C2×C13 | — | 2 | 1 | no | — |
| 686 | C2×C13 | — | 8 | 1 | no | — |
| 687 | C2×C13 | — | 8 | 1 | no | — |
| 688 | C2×C13 | #3012 | 1 | 1 | yes | characteristic |
| 689 | C2×C13 | C2×#454 | 1 | 1 | yes | characteristic |
| 690 | C2×C13 | #3026 | 1 | 1 | yes | characteristic |
| 691 | D13 | — | 2 | 2 | no | — |
| 692 | D13 | — | 4 | 1 | no | — |
| 693 | D13 | — | 8 | 1 | no | — |
| 694 | D13 | — | 16 | 1 | no | — |
| 695 | C24 | — | 13 | 1 | no | — |
| 696 | C24 | — | 26 | 1 | no | — |
| 697 | C24 | — | 26 | 1 | no | — |
| 698 | #41 | — | 8 | 1 | no | — |
| 699 | #41 | — | 8 | 1 | no | — |
| 700 | #41 | — | 104 | 1 | no | — |
| 701 | #41 | — | 104 | 1 | no | — |
| 702 | #41 | — | 104 | 1 | no | — |
| 703 | #41 | — | 104 | 2 | no | — |
| 704 | C2×Q8 | — | 2 | 1 | no | — |
| 705 | C2×Q8 | — | 13 | 1 | no | — |
| 706 | C2×Q8 | — | 26 | 1 | no | — |
| 707 | C2×Q8 | — | 26 | 1 | no | — |
| 708 | C2×Q8 | — | 26 | 1 | no | — |
| 709 | C2×Q8 | — | 104 | 1 | no | — |
| 710 | C2×D4 | — | 2 | 1 | no | — |
| 711 | C2×D4 | — | 2 | 1 | no | — |
| 712 | C2×D4 | — | 2 | 1 | no | — |
| 713 | C2×D4 | — | 2 | 1 | no | — |
| 714 | C2×D4 | — | 13 | 1 | no | — |
| 715 | C2×D4 | — | 26 | 1 | no | — |
| 716 | C2×D4 | — | 26 | 1 | no | — |
| 717 | C2×D4 | — | 26 | 1 | no | — |
| 718 | C2×D4 | — | 26 | 1 | no | — |
| 719 | C2×D4 | — | 26 | 1 | no | — |
| 720 | C2×D4 | — | 26 | 1 | no | — |
| 721 | C2×D4 | — | 26 | 1 | no | — |
| 722 | C2×D4 | — | 26 | 1 | no | — |
| 723 | C2×D4 | — | 26 | 1 | no | — |
| 724 | C2×D4 | — | 26 | 1 | no | — |
| 725 | C2×D4 | — | 52 | 1 | no | — |
| 726 | C2×D4 | — | 52 | 1 | no | — |
| 727 | C2×D4 | — | 52 | 2 | no | — |
| 728 | C2×D4 | — | 52 | 2 | no | — |
| 729 | C2×D4 | — | 104 | 1 | no | — |
| 730 | C2×D4 | — | 104 | 1 | no | — |
| 731 | C2×D4 | — | 104 | 1 | no | — |
| 732 | C2×D4 | — | 104 | 1 | no | — |
| 733 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 734 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 735 | C22×C4 | — | 2 | 1 | no | — |
| 736 | C22×C4 | — | 2 | 1 | no | — |
| 737 | C22×C4 | — | 2 | 1 | no | — |
| 738 | C22×C4 | — | 2 | 1 | no | — |
| 739 | C22×C4 | — | 13 | 1 | no | — |
| 740 | C22×C4 | — | 13 | 1 | no | — |
| 741 | C22×C4 | — | 13 | 1 | no | — |
| 742 | C22×C4 | — | 13 | 1 | no | — |
| 743 | C22×C4 | — | 13 | 1 | no | — |
| 744 | C22×C4 | — | 13 | 1 | no | — |
| 745 | C22×C4 | — | 13 | 1 | no | — |
| 746 | C22×C4 | — | 26 | 1 | no | — |
| 747 | C22×C4 | — | 26 | 1 | no | — |
| 748 | C22×C4 | — | 26 | 1 | no | — |
| 749 | C22×C4 | — | 26 | 1 | no | — |
| 750 | C22×C4 | — | 26 | 1 | no | — |
| 751 | C22×C4 | — | 26 | 1 | no | — |
| 752 | C22×C4 | — | 26 | 1 | no | — |
| 753 | C22×C4 | — | 52 | 2 | no | — |
| 754 | C22×C4 | — | 104 | 1 | no | — |
| 755 | C22×C4 | — | 104 | 1 | no | — |
| 756 | C22×C4 | — | 104 | 1 | no | — |
| 757 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 758 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 759 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 760 | SD16 | — | 104 | 1 | no | — |
| 761 | D8 | — | 104 | 1 | no | — |
| 762 | D8 | — | 104 | 1 | no | — |
| 763 | D8 | — | 104 | 1 | no | — |
| 764 | M16 | — | 104 | 1 | no | — |
| 765 | C2×C8 | — | 2 | 1 | no | — |
| 766 | C2×C8 | — | 2 | 1 | no | — |
| 767 | C2×C8 | — | 26 | 1 | no | — |
| 768 | C2×C8 | — | 26 | 1 | no | — |
| 769 | C2×C8 | — | 104 | 1 | no | — |
| 770 | C4⋊C4 | — | 2 | 1 | no | — |
| 771 | C4⋊C4 | — | 2 | 1 | no | — |
| 772 | C4⋊C4 | — | 2 | 1 | no | — |
| 773 | C4⋊C4 | — | 2 | 1 | no | — |
| 774 | C4⋊C4 | — | 2 | 1 | no | — |
| 775 | C4⋊C4 | — | 13 | 1 | no | — |
| 776 | C4⋊C4 | — | 13 | 1 | no | — |
| 777 | C4⋊C4 | — | 26 | 1 | no | — |
| 778 | C4⋊C4 | — | 26 | 1 | no | — |
| 779 | C4⋊C4 | — | 26 | 1 | no | — |
| 780 | C4⋊C4 | — | 26 | 1 | no | — |
| 781 | C4⋊C4 | — | 26 | 1 | no | — |
| 782 | C4⋊C4 | — | 26 | 1 | no | — |
| 783 | C4⋊C4 | — | 26 | 1 | no | — |
| 784 | C4⋊C4 | — | 26 | 1 | no | — |
| 785 | C4⋊C4 | — | 26 | 1 | no | — |
| 786 | C4⋊C4 | — | 26 | 1 | no | — |
| 787 | C4⋊C4 | — | 26 | 1 | no | — |
| 788 | C4⋊C4 | — | 26 | 1 | no | — |
| 789 | C4⋊C4 | — | 26 | 1 | no | — |
| 790 | C4⋊C4 | — | 26 | 1 | no | — |
| 791 | C4⋊C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 792 | C4⋊C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 793 | C22⋊C4 | — | 2 | 1 | no | — |
| 794 | C22⋊C4 | — | 2 | 1 | no | — |
| 795 | C22⋊C4 | — | 2 | 1 | no | — |
| 796 | C22⋊C4 | — | 2 | 1 | no | — |
| 797 | C22⋊C4 | — | 26 | 1 | no | — |
| 798 | C22⋊C4 | — | 26 | 1 | no | — |
| 799 | C22⋊C4 | — | 26 | 1 | no | — |
| 800 | C22⋊C4 | — | 26 | 1 | no | — |
| 801 | C22⋊C4 | — | 26 | 1 | no | — |
| 802 | C22⋊C4 | — | 26 | 1 | no | — |
| 803 | C22⋊C4 | — | 26 | 1 | no | — |
| 804 | C22⋊C4 | — | 26 | 1 | no | — |
| 805 | C22⋊C4 | — | 26 | 1 | no | — |
| 806 | C22⋊C4 | — | 26 | 1 | no | — |
| 807 | C22⋊C4 | — | 26 | 1 | no | — |
| 808 | C22⋊C4 | — | 26 | 1 | no | — |
| 809 | C22⋊C4 | — | 26 | 1 | no | — |
| 810 | C22⋊C4 | — | 26 | 1 | no | — |
| 811 | C22⋊C4 | — | 26 | 1 | no | — |
| 812 | C22⋊C4 | — | 26 | 1 | no | — |
| 813 | C22⋊C4 | — | 26 | 1 | no | — |
| 814 | C22⋊C4 | — | 26 | 1 | no | — |
| 815 | C22⋊C4 | — | 26 | 1 | no | — |
| 816 | C22⋊C4 | — | 52 | 1 | no | — |
| 817 | C22⋊C4 | — | 52 | 1 | no | — |
| 818 | C22⋊C4 | — | 104 | 1 | no | — |
| 819 | C22⋊C4 | — | 104 | 1 | no | — |
| 820 | C22⋊C4 | — | 104 | 1 | no | — |
| 821 | C22⋊C4 | — | 104 | 1 | no | — |
| 822 | C42 | — | 26 | 1 | no | — |
| 823 | C42 | — | 26 | 1 | no | — |
| 824 | C42 | — | 26 | 1 | no | — |
| 825 | C13 | #18424 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 826 | C23 | — | 2 | 1 | no | — |
| 827 | C23 | — | 2 | 1 | no | — |
| 828 | C23 | — | 13 | 1 | no | — |
| 829 | C23 | — | 13 | 1 | no | — |
| 830 | C23 | — | 26 | 2 | no | — |
| 831 | C23 | — | 26 | 1 | no | — |
| 832 | C23 | — | 26 | 1 | no | — |
| 833 | C23 | — | 26 | 1 | no | — |
| 834 | C23 | — | 52 | 1 | no | — |
| 835 | C23 | — | 52 | 1 | no | — |
| 836 | C23 | — | 52 | 1 | no | — |
| 837 | C23 | — | 52 | 1 | no | — |
| 838 | C23 | — | 52 | 1 | no | — |
| 839 | C23 | — | 52 | 2 | no | — |
| 840 | C23 | — | 52 | 1 | no | — |
| 841 | C23 | — | 52 | 1 | no | — |
| 842 | C23 | — | 52 | 1 | no | — |
| 843 | C23 | — | 104 | 1 | no | — |
| 844 | C23 | — | 104 | 1 | no | — |
| 845 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 846 | Q8 | — | 8 | 1 | no | — |
| 847 | Q8 | — | 52 | 1 | no | — |
| 848 | Q8 | — | 52 | 2 | no | — |
| 849 | Q8 | — | 104 | 1 | no | — |
| 850 | Q8 | — | 104 | 1 | no | — |
| 851 | D4 | — | 4 | 1 | no | — |
| 852 | D4 | — | 4 | 1 | no | — |
| 853 | D4 | — | 4 | 1 | no | — |
| 854 | D4 | — | 4 | 1 | no | — |
| 855 | D4 | — | 4 | 1 | no | — |
| 856 | D4 | — | 4 | 1 | no | — |
| 857 | D4 | — | 8 | 1 | no | — |
| 858 | D4 | — | 8 | 1 | no | — |
| 859 | D4 | — | 52 | 1 | no | — |
| 860 | D4 | — | 52 | 1 | no | — |
| 861 | D4 | — | 52 | 1 | no | — |
| 862 | D4 | — | 52 | 1 | no | — |
| 863 | D4 | — | 52 | 1 | no | — |
| 864 | D4 | — | 52 | 2 | no | — |
| 865 | D4 | — | 52 | 2 | no | — |
| 866 | D4 | — | 52 | 1 | no | — |
| 867 | D4 | — | 52 | 1 | no | — |
| 868 | D4 | — | 104 | 1 | no | — |
| 869 | D4 | — | 104 | 2 | no | — |
| 870 | D4 | — | 104 | 2 | no | — |
| 871 | D4 | — | 104 | 1 | no | — |
| 872 | D4 | — | 104 | 1 | no | — |
| 873 | D4 | — | 104 | 1 | no | — |
| 874 | D4 | — | 104 | 1 | no | — |
| 875 | C2×C4 | — | 2 | 1 | no | — |
| 876 | C2×C4 | — | 2 | 1 | no | — |
| 877 | C2×C4 | — | 2 | 1 | no | — |
| 878 | C2×C4 | — | 2 | 1 | no | — |
| 879 | C2×C4 | — | 2 | 1 | no | — |
| 880 | C2×C4 | — | 2 | 1 | no | — |
| 881 | C2×C4 | — | 4 | 1 | no | — |
| 882 | C2×C4 | — | 4 | 1 | no | — |
| 883 | C2×C4 | — | 4 | 1 | no | — |
| 884 | C2×C4 | — | 4 | 1 | no | — |
| 885 | C2×C4 | — | 4 | 1 | no | — |
| 886 | C2×C4 | — | 4 | 1 | no | — |
| 887 | C2×C4 | — | 4 | 1 | no | — |
| 888 | C2×C4 | — | 4 | 1 | no | — |
| 889 | C2×C4 | — | 8 | 1 | no | — |
| 890 | C2×C4 | — | 8 | 1 | no | — |
| 891 | C2×C4 | — | 13 | 1 | no | — |
| 892 | C2×C4 | — | 13 | 1 | no | — |
| 893 | C2×C4 | — | 26 | 1 | no | — |
| 894 | C2×C4 | — | 26 | 1 | no | — |
| 895 | C2×C4 | — | 26 | 1 | no | — |
| 896 | C2×C4 | — | 26 | 1 | no | — |
| 897 | C2×C4 | — | 26 | 1 | no | — |
| 898 | C2×C4 | — | 26 | 1 | no | — |
| 899 | C2×C4 | — | 26 | 1 | no | — |
| 900 | C2×C4 | — | 52 | 1 | no | — |
| 901 | C2×C4 | — | 52 | 1 | no | — |
| 902 | C2×C4 | — | 52 | 1 | no | — |
| 903 | C2×C4 | — | 52 | 1 | no | — |
| 904 | C2×C4 | — | 52 | 1 | no | — |
| 905 | C2×C4 | — | 52 | 2 | no | — |
| 906 | C2×C4 | — | 52 | 1 | no | — |
| 907 | C2×C4 | — | 52 | 1 | no | — |
| 908 | C2×C4 | — | 52 | 1 | no | — |
| 909 | C2×C4 | — | 52 | 1 | no | — |
| 910 | C2×C4 | — | 104 | 1 | no | — |
| 911 | C2×C4 | — | 104 | 1 | no | — |
| 912 | C2×C4 | — | 104 | 1 | no | — |
| 913 | C2×C4 | — | 104 | 4 | no | — |
| 914 | C2×C4 | — | 104 | 1 | no | — |
| 915 | C2×C4 | — | 104 | 1 | no | — |
| 916 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 917 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 918 | C8 | — | 4 | 1 | no | — |
| 919 | C8 | — | 4 | 1 | no | — |
| 920 | C8 | — | 52 | 1 | no | — |
| 921 | C8 | — | 52 | 1 | no | — |
| 922 | C22 | — | 2 | 1 | no | — |
| 923 | C22 | — | 2 | 1 | no | — |
| 924 | C22 | — | 4 | 1 | no | — |
| 925 | C22 | — | 4 | 1 | no | — |
| 926 | C22 | — | 4 | 1 | no | — |
| 927 | C22 | — | 4 | 1 | no | — |
| 928 | C22 | — | 4 | 1 | no | — |
| 929 | C22 | — | 4 | 1 | no | — |
| 930 | C22 | — | 13 | 2 | no | — |
| 931 | C22 | — | 26 | 1 | no | — |
| 932 | C22 | — | 26 | 1 | no | — |
| 933 | C22 | — | 26 | 1 | no | — |
| 934 | C22 | — | 26 | 1 | no | — |
| 935 | C22 | — | 26 | 1 | no | — |
| 936 | C22 | — | 52 | 2 | no | — |
| 937 | C22 | — | 52 | 2 | no | — |
| 938 | C22 | — | 52 | 1 | no | — |
| 939 | C22 | — | 52 | 1 | no | — |
| 940 | C22 | — | 52 | 1 | no | — |
| 941 | C22 | — | 104 | 1 | no | — |
| 942 | C22 | — | 104 | 1 | no | — |
| 943 | C22 | — | 104 | 1 | no | — |
| 944 | C22 | — | 104 | 1 | no | — |
| 945 | C22 | — | 104 | 1 | no | — |
| 946 | C22 | — | 104 | 1 | no | — |
| 947 | C22 | — | 104 | 1 | no | — |
| 948 | C22 | — | 208 | 2 | no | — |
| 949 | C22 | D13×#120 | 1 | 1 | yes | characteristic |
| 950 | C22 | #11719467 | 1 | 1 | yes | characteristic |
| 951 | C22 | #11719479 | 1 | 1 | yes | characteristic |
| 952 | C4 | — | 2 | 1 | no | — |
| 953 | C4 | — | 2 | 1 | no | — |
| 954 | C4 | — | 4 | 1 | no | — |
| 955 | C4 | — | 4 | 1 | no | — |
| 956 | C4 | — | 4 | 1 | no | — |
| 957 | C4 | — | 4 | 1 | no | — |
| 958 | C4 | — | 8 | 1 | no | — |
| 959 | C4 | — | 8 | 1 | no | — |
| 960 | C4 | — | 26 | 1 | no | — |
| 961 | C4 | — | 26 | 1 | no | — |
| 962 | C4 | — | 52 | 1 | no | — |
| 963 | C4 | — | 52 | 1 | no | — |
| 964 | C4 | — | 52 | 1 | no | — |
| 965 | C4 | — | 52 | 1 | no | — |
| 966 | C4 | — | 52 | 1 | no | — |
| 967 | C4 | — | 104 | 1 | no | — |
| 968 | C2 | — | 2 | 1 | no | — |
| 969 | C2 | — | 2 | 1 | no | — |
| 970 | C2 | — | 8 | 1 | no | — |
| 971 | C2 | — | 8 | 1 | no | — |
| 972 | C2 | — | 26 | 2 | no | — |
| 973 | C2 | — | 52 | 1 | no | — |
| 974 | C2 | — | 104 | 1 | no | — |
| 975 | C2 | — | 208 | 1 | no | — |
| 976 | C2 | #13124141 | 1 | 1 | yes | characteristic |
| 977 | C2 | D13×#454 | 1 | 1 | yes | characteristic |
| 978 | C2 | #13124234 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129053 | C2 | semidirect |
| 2. #13125635 | C2 | semidirect |
| 3. #13125600 | C2 | semidirect |
| 4. #13120768 | C2 | semidirect |
| 5. #13113871 | C2 | semidirect |
| 6. #13113865 | C2 | semidirect |
| 7. #13113864 | C2 | semidirect |
| 8. #13113772 | C2 | semidirect |
| 9. #13113771 | C2 | semidirect |
| 10. #13113767 | C2 | semidirect |
| 11. #13113766 | C2 | semidirect |
| 12. #13113337 | C2 | semidirect |
| 13. D13×#327 | C2 | semidirect |
| 14. #13113198 | C2 | semidirect |
| 15. C13×#1616 | C2 | semidirect |
| 37. C13×#481 | C22 | semidirect |
| 38. C13×#400 | C22 | semidirect |
| 40. #11718697 | C22 | semidirect |
| 41. #11718652 | C22 | semidirect |
| 42. #11718643 | C22 | semidirect |
| 43. #11718631 | C22 | semidirect |
| 54. #11718392 | C22 | semidirect |
| 59. #11718333 | C22 | semidirect |
| 64. C13×#327 | C22 | semidirect |
| 65. C13×#324 | C22 | semidirect |
| 67. #11718129 | C22 | semidirect |
| 68. #11718120 | C22 | semidirect |
| 70. #11718061 | C22 | semidirect |
| 71. #11718061 | C22 | semidirect |
| 72. #11718059 | C22 | semidirect |
| 73. #11718044 | C22 | semidirect |
| 342. #1616 | D13 | semidirect |
| 473. #481 | C2×D13 | semidirect |
| 487. #400 | C2×D13 | semidirect |
| 502. #327 | C2×D13 | semidirect |
| 506. #324 | C2×D13 | semidirect |
| 825. C13 | #18424 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129053 | 2 |
| #13125635 | 2 |
| #13125600 | 2 |
| #13120768 | 2 |
| #13113871 | 2 |
| #13113865 | 2 |
| #13113864 | 2 |
| #13113772 | 2 |
| #13113771 | 2 |
| #13113767 | 2 |
| #13113766 | 2 |
| #13113337 | 2 |
| D13×#327 | 2 |
| #13113198 | 2 |
| C13×#1616 | 2 |
| #18424 | 13 |