Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2038 conjugacy classes of subgroups.
The subgroup lattice has 722 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129606 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13129604 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13127988 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #13127987 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13127984 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13127979 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #13127978 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #13127976 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #13127975 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13127971 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #13127968 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | C2×#11718577 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | D13×#508 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | D13×#504 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#3416 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #11719652 | — | 2 | 1 | no | — |
| 17 | #11719650 | — | 2 | 1 | no | — |
| 18 | C13×#578 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C13×#576 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #11719542 | — | 2 | 1 | no | — |
| 21 | #11719541 | — | 2 | 1 | no | — |
| 22 | #11719483 | — | 2 | 3 | no | — |
| 23 | #11719482 | — | 2 | 3 | no | — |
| 24 | #11719480 | — | 2 | 3 | no | — |
| 25 | #11719478 | — | 2 | 3 | no | — |
| 26 | #11719476 | C22 | 1 | 3 | yes | complemented |
| 27 | #11719474 | C22 | 1 | 3 | yes | complemented |
| 28 | D13×#135 | C22 | 1 | 3 | yes | complemented |
| 29 | D13×#135 | C22 | 1 | 3 | yes | complemented |
| 30 | #11719471 | C22 | 1 | 3 | yes | complemented |
| 31 | C2×#88173 | C22 | 1 | 3 | yes | complemented |
| 32 | #11719462 | C22 | 1 | 3 | yes | complemented |
| 33 | C2×#88166 | C22 | 1 | 3 | yes | complemented |
| 34 | #11719458 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #11719457 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | D13×#131 | C22 | 1 | 1 | yes | characteristic |
| 37 | C13×#510 | C22 | 1 | 3 | yes | complemented |
| 38 | C13×#509 | C22 | 1 | 3 | yes | complemented |
| 39 | C13×#508 | C22 | 1 | 3 | yes | complemented |
| 40 | C2×C13×SD32 | C22 | 1 | 3 | yes | complemented |
| 41 | C13×#504 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #11718856 | C22 | 1 | 3 | yes | complemented |
| 43 | #11718855 | C22 | 1 | 3 | yes | complemented |
| 44 | #11718855 | C22 | 1 | 3 | yes | complemented |
| 45 | #11718854 | C22 | 1 | 3 | yes | complemented |
| 46 | C2×#88069 | C22 | 1 | 3 | yes | complemented |
| 47 | #11718840 | C22 | 1 | 3 | yes | complemented |
| 48 | #11718808 | C22 | 1 | 3 | yes | complemented |
| 49 | C2×#88066 | C22 | 1 | 3 | yes | complemented |
| 50 | #11718801 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #11718580 | C22 | 1 | 3 | yes | complemented |
| 52 | #11718579 | C22 | 1 | 6 | yes | complemented |
| 53 | D13×Q32 | C22 | 1 | 3 | yes | complemented |
| 54 | #11718577 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #11718577 | C22 | 1 | 3 | yes | complemented |
| 56 | #11718577 | C22 | 1 | 6 | yes | complemented |
| 57 | #11718577 | C22 | 1 | 6 | yes | complemented |
| 58 | #11718577 | C22 | 1 | 6 | yes | complemented |
| 59 | #11718576 | C22 | 1 | 6 | yes | complemented |
| 60 | #11718575 | C22 | 1 | 6 | yes | complemented |
| 61 | D13×SD32 | C22 | 1 | 3 | yes | complemented |
| 62 | D13×SD32 | C22 | 1 | 3 | yes | complemented |
| 63 | #11718573 | C22 | 1 | 3 | yes | complemented |
| 64 | #11718572 | C22 | 1 | 6 | yes | complemented |
| 65 | D13×D16 | C22 | 1 | 3 | yes | complemented |
| 66 | #11718570 | C22 | 1 | 3 | yes | complemented |
| 67 | #11718569 | C22 | 1 | 3 | yes | complemented |
| 68 | #11718568 | C22 | 1 | 3 | yes | complemented |
| 69 | D13×M32 | C22 | 1 | 3 | yes | complemented |
| 70 | #11718565 | C22 | 1 | 3 | yes | complemented |
| 71 | C2×#88040 | C22 | 1 | 3 | yes | complemented |
| 72 | #11718562 | C22 | 1 | 3 | yes | complemented |
| 73 | C2×C16×D13 | C22 | 1 | 3 | yes | complemented |
| 74 | C13×2−1+4 | — | 2 | 1 | no | — |
| 75 | C13×H(5,𝔽2) | — | 2 | 1 | no | — |
| 76 | #88257 | — | 2 | 1 | no | — |
| 77 | #88257 | — | 2 | 3 | no | — |
| 78 | #88257 | — | 4 | 1 | no | — |
| 79 | #88256 | — | 2 | 1 | no | — |
| 80 | #88256 | — | 2 | 3 | no | — |
| 81 | #88256 | — | 4 | 3 | no | — |
| 82 | #41×D13 | — | 2 | 3 | no | — |
| 83 | #41×D13 | — | 2 | 3 | no | — |
| 84 | #41×D13 | — | 4 | 1 | no | — |
| 85 | #41×D13 | — | 4 | 3 | no | — |
| 86 | #41×D13 | D4 | 1 | 1 | yes | characteristic |
| 87 | #88254 | — | 2 | 3 | no | — |
| 88 | #88254 | — | 4 | 1 | no | — |
| 89 | C2×#6131 | — | 2 | 3 | no | — |
| 90 | C2×#6131 | — | 4 | 1 | no | — |
| 91 | #88251 | — | 2 | 3 | no | — |
| 92 | #88251 | — | 4 | 3 | no | — |
| 93 | C2×#6129 | — | 2 | 3 | no | — |
| 94 | C2×#6129 | — | 4 | 3 | no | — |
| 95 | C13×#137 | — | 2 | 3 | no | — |
| 96 | C13×AGL(1,ℤ/8) | — | 2 | 3 | no | — |
| 97 | C13×#135 | C23 | 1 | 3 | yes | — |
| 98 | C13×#135 | C23 | 1 | 3 | yes | — |
| 99 | C2×C13×Q16 | C23 | 1 | 3 | yes | — |
| 100 | C2×C13×D8 | C23 | 1 | 3 | yes | — |
| 101 | C13×#131 | C23 | 1 | 1 | yes | characteristic |
| 102 | #88205 | — | 2 | 3 | no | — |
| 103 | #88204 | — | 2 | 3 | no | — |
| 104 | #88204 | — | 2 | 3 | no | — |
| 105 | #88203 | — | 2 | 3 | no | — |
| 106 | #88202 | D4 | 1 | 1 | yes | characteristic |
| 107 | #88196 | — | 2 | 3 | no | — |
| 108 | C2×#6106 | — | 2 | 3 | no | — |
| 109 | C2×#6105 | — | 2 | 3 | no | — |
| 110 | #88186 | — | 2 | 3 | no | — |
| 111 | #88173 | — | 2 | 3 | no | — |
| 112 | #88173 | — | 2 | 3 | no | — |
| 113 | #88173 | C23 | 1 | 3 | yes | — |
| 114 | #88173 | C23 | 1 | 6 | yes | — |
| 115 | #88173 | C23 | 1 | 1 | yes | characteristic |
| 116 | #88172 | — | 2 | 6 | no | — |
| 117 | Q16×D13 | C23 | 1 | 3 | yes | — |
| 118 | Q16×D13 | C23 | 1 | 3 | yes | — |
| 119 | #88170 | — | 2 | 3 | no | — |
| 120 | #88170 | — | 2 | 3 | no | — |
| 121 | #88169 | — | 2 | 6 | no | — |
| 122 | #88168 | — | 2 | 6 | no | — |
| 123 | SD16×D13 | — | 2 | 3 | no | — |
| 124 | SD16×D13 | — | 2 | 3 | no | — |
| 125 | #88166 | — | 2 | 3 | no | — |
| 126 | #88166 | — | 2 | 3 | no | — |
| 127 | #88166 | C23 | 1 | 3 | yes | — |
| 128 | #88166 | C23 | 1 | 6 | yes | — |
| 129 | #88166 | C23 | 1 | 1 | yes | characteristic |
| 130 | #88165 | — | 2 | 6 | no | — |
| 131 | D8×D13 | C23 | 1 | 3 | yes | — |
| 132 | D8×D13 | C23 | 1 | 3 | yes | — |
| 133 | #88163 | — | 2 | 3 | no | — |
| 134 | #88162 | — | 2 | 3 | no | — |
| 135 | #88161 | D4 | 1 | 3 | yes | — |
| 136 | M16×D13 | D4 | 1 | 3 | yes | — |
| 137 | C2×Dic52 | C23 | 1 | 3 | yes | — |
| 138 | #88158 | C23 | 1 | 3 | yes | — |
| 139 | #88158 | C23 | 1 | 3 | yes | — |
| 140 | C2×D104 | C23 | 1 | 3 | yes | — |
| 141 | #88155 | C23 | 1 | 3 | yes | — |
| 142 | C2×C8×D13 | C23 | 1 | 3 | yes | — |
| 143 | C13×Q32 | C23 | 1 | 3 | yes | — |
| 144 | C13×SD32 | C23 | 1 | 3 | yes | — |
| 145 | C13×SD32 | C23 | 1 | 6 | yes | — |
| 146 | C13×SD32 | C23 | 1 | 1 | yes | characteristic |
| 147 | C13×D16 | C23 | 1 | 3 | yes | — |
| 148 | C13×M32 | C23 | 1 | 3 | yes | — |
| 149 | C2×C13×C16 | C23 | 1 | 3 | yes | — |
| 150 | #88069 | C23 | 1 | 6 | yes | — |
| 151 | #88069 | C23 | 1 | 3 | yes | — |
| 152 | #88069 | C23 | 1 | 1 | yes | characteristic |
| 153 | #88068 | C23 | 1 | 3 | yes | — |
| 154 | #88068 | C23 | 1 | 3 | yes | — |
| 155 | #88067 | C23 | 1 | 3 | yes | — |
| 156 | #88067 | C23 | 1 | 3 | yes | — |
| 157 | #88066 | C23 | 1 | 3 | yes | — |
| 158 | #88066 | C23 | 1 | 6 | yes | — |
| 159 | #88066 | C23 | 1 | 1 | yes | characteristic |
| 160 | #88052 | C23 | 1 | 3 | yes | — |
| 161 | C2×#6090 | C23 | 1 | 3 | yes | — |
| 162 | Dic104 | C23 | 1 | 3 | yes | — |
| 163 | #88040 | C23 | 1 | 3 | yes | — |
| 164 | #88040 | C23 | 1 | 6 | yes | — |
| 165 | #88040 | C23 | 1 | 1 | yes | characteristic |
| 166 | D208 | C23 | 1 | 3 | yes | — |
| 167 | #88038 | C23 | 1 | 6 | yes | — |
| 168 | C16×D13 | C23 | 1 | 1 | yes | characteristic |
| 169 | C16×D13 | C23 | 1 | 3 | yes | — |
| 170 | C16×D13 | C23 | 1 | 3 | yes | — |
| 171 | C16×D13 | C23 | 1 | 3 | yes | — |
| 172 | #62635 | — | 13 | 1 | no | maximal, Sylow |
| 173 | C13×#41 | — | 2 | 3 | no | — |
| 174 | C13×#41 | — | 2 | 3 | no | — |
| 175 | C13×#41 | — | 4 | 1 | no | — |
| 176 | C13×#41 | — | 4 | 3 | no | — |
| 177 | C13×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C2×Q8×C13 | — | 2 | 3 | no | — |
| 179 | C2×Q8×C13 | — | 4 | 1 | no | — |
| 180 | C2×D4×C13 | — | 2 | 3 | no | — |
| 181 | C2×D4×C13 | — | 4 | 3 | no | — |
| 182 | C2×C22⋊D13 | — | 4 | 3 | no | — |
| 183 | C2×C22⋊D13 | — | 4 | 6 | no | — |
| 184 | C22×Dic13 | — | 4 | 3 | no | — |
| 185 | #6131 | — | 2 | 6 | no | — |
| 186 | #6131 | — | 2 | 1 | no | — |
| 187 | #6131 | — | 2 | 3 | no | — |
| 188 | #6131 | — | 4 | 1 | no | — |
| 189 | #6131 | — | 4 | 3 | no | — |
| 190 | #6131 | — | 4 | 3 | no | — |
| 191 | #6131 | — | 4 | 3 | no | — |
| 192 | #6131 | D8 | 1 | 1 | yes | characteristic |
| 193 | Q8×D13 | — | 2 | 3 | no | — |
| 194 | Q8×D13 | — | 2 | 3 | no | — |
| 195 | Q8×D13 | — | 4 | 1 | no | — |
| 196 | Q8×D13 | — | 4 | 3 | no | — |
| 197 | Q8×D13 | D8 | 1 | 1 | yes | characteristic |
| 198 | #6129 | — | 2 | 6 | no | — |
| 199 | #6129 | — | 2 | 3 | no | — |
| 200 | #6129 | — | 2 | 1 | no | — |
| 201 | #6129 | — | 4 | 3 | no | — |
| 202 | #6129 | — | 4 | 6 | no | — |
| 203 | #6129 | — | 4 | 3 | no | — |
| 204 | #6129 | — | 4 | 3 | no | — |
| 205 | #6129 | — | 4 | 3 | no | — |
| 206 | #6129 | — | 4 | 3 | no | — |
| 207 | #6129 | — | 4 | 3 | no | — |
| 208 | #6129 | D8 | 1 | 3 | yes | — |
| 209 | D4×D13 | — | 2 | 3 | no | — |
| 210 | D4×D13 | — | 2 | 3 | no | — |
| 211 | D4×D13 | — | 4 | 3 | no | — |
| 212 | D4×D13 | — | 4 | 3 | no | — |
| 213 | D4×D13 | — | 4 | 3 | no | — |
| 214 | D4×D13 | — | 4 | 6 | no | — |
| 215 | D4×D13 | — | 4 | 3 | no | — |
| 216 | D4×D13 | D8 | 1 | 3 | yes | — |
| 217 | #6127 | — | 2 | 3 | no | — |
| 218 | #6127 | — | 2 | 3 | no | — |
| 219 | #6127 | — | 4 | 6 | no | — |
| 220 | #6127 | — | 4 | 3 | no | — |
| 221 | #6127 | — | 4 | 3 | no | — |
| 222 | #6127 | — | 4 | 3 | no | — |
| 223 | #6127 | — | 4 | 3 | no | — |
| 224 | #6127 | C2×D4 | 1 | 3 | yes | — |
| 225 | C2×D52 | — | 2 | 3 | no | — |
| 226 | C2×D52 | — | 4 | 3 | no | — |
| 227 | C2×D52 | — | 4 | 3 | no | — |
| 228 | C2×C4×D13 | — | 4 | 3 | no | — |
| 229 | C2×C4×D13 | — | 4 | 3 | no | — |
| 230 | C2×C4×D13 | — | 4 | 3 | no | — |
| 231 | C2×C4×D13 | C2×D4 | 1 | 3 | yes | — |
| 232 | C2×Dic26 | — | 2 | 3 | no | — |
| 233 | C2×Dic26 | — | 4 | 3 | no | — |
| 234 | C13×Q16 | — | 2 | 3 | no | — |
| 235 | C13×Q16 | C24 | 1 | 1 | yes | characteristic |
| 236 | C13×Q16 | C24 | 1 | 3 | yes | — |
| 237 | C13×SD16 | — | 2 | 3 | no | — |
| 238 | C13×SD16 | — | 2 | 3 | no | — |
| 239 | C13×D8 | — | 2 | 3 | no | — |
| 240 | C13×D8 | C24 | 1 | 3 | yes | — |
| 241 | C13×D8 | C24 | 1 | 1 | yes | characteristic |
| 242 | C13×M16 | C2×D4 | 1 | 3 | yes | — |
| 243 | C2×C8×C13 | C24 | 1 | 3 | yes | — |
| 244 | #6107 | — | 2 | 3 | no | — |
| 245 | #6107 | — | 2 | 3 | no | — |
| 246 | #6106 | — | 2 | 1 | no | — |
| 247 | #6106 | — | 2 | 3 | no | — |
| 248 | #6106 | — | 2 | 6 | no | — |
| 249 | #6105 | — | 2 | 6 | no | — |
| 250 | #6105 | — | 2 | 3 | no | — |
| 251 | #6105 | — | 2 | 1 | no | — |
| 252 | #6104 | — | 2 | 3 | no | — |
| 253 | #6104 | — | 2 | 3 | no | — |
| 254 | #6099 | C2×D4 | 1 | 3 | yes | — |
| 255 | C2×#1055 | C2×D4 | 1 | 3 | yes | — |
| 256 | Dic52 | — | 2 | 3 | no | — |
| 257 | Dic52 | C24 | 1 | 1 | yes | characteristic |
| 258 | Dic52 | C24 | 1 | 3 | yes | — |
| 259 | D104 | — | 2 | 3 | no | — |
| 260 | D104 | C24 | 1 | 3 | yes | — |
| 261 | D104 | C24 | 1 | 1 | yes | characteristic |
| 262 | #6095 | — | 2 | 3 | no | — |
| 263 | #6095 | — | 2 | 3 | no | — |
| 264 | #6094 | C2×D4 | 1 | 6 | yes | — |
| 265 | C8×D13 | C2×D4 | 1 | 3 | yes | — |
| 266 | C8×D13 | C2×D4 | 1 | 3 | yes | — |
| 267 | C8×D13 | C24 | 1 | 1 | yes | characteristic |
| 268 | C8×D13 | C24 | 1 | 3 | yes | — |
| 269 | C13×C16 | C24 | 1 | 1 | yes | characteristic |
| 270 | C13×C16 | C24 | 1 | 3 | yes | — |
| 271 | #6090 | C24 | 1 | 1 | yes | characteristic |
| 272 | #6090 | C24 | 1 | 3 | yes | — |
| 273 | #3584 | — | 13 | 1 | no | — |
| 274 | #3584 | — | 13 | 1 | no | — |
| 275 | #3417 | — | 13 | 3 | no | — |
| 276 | #3417 | — | 13 | 1 | no | — |
| 277 | #3416 | — | 13 | 3 | no | — |
| 278 | #3416 | — | 13 | 3 | no | — |
| 279 | #3416 | — | 13 | 1 | no | — |
| 280 | #3416 | D13 | 1 | 1 | yes | characteristic, complemented |
| 281 | #3415 | — | 13 | 3 | no | — |
| 282 | #3415 | — | 13 | 1 | no | — |
| 283 | #3414 | — | 13 | 3 | no | — |
| 284 | #3414 | — | 13 | 3 | no | — |
| 285 | C2×#508 | — | 13 | 3 | no | — |
| 286 | C2×#508 | — | 13 | 3 | no | — |
| 287 | C2×#504 | — | 13 | 1 | no | — |
| 288 | C23×C13 | — | 4 | 3 | no | — |
| 289 | C22×D13 | — | 4 | 3 | no | — |
| 290 | C22×D13 | — | 4 | 3 | no | — |
| 291 | C22×D13 | — | 4 | 3 | no | — |
| 292 | C22×D13 | C2×D8 | 1 | 3 | yes | — |
| 293 | Q8×C13 | — | 2 | 3 | no | — |
| 294 | Q8×C13 | — | 2 | 1 | no | — |
| 295 | Q8×C13 | — | 4 | 3 | no | — |
| 296 | Q8×C13 | C2×D8 | 1 | 1 | yes | characteristic |
| 297 | D4×C13 | — | 2 | 1 | no | — |
| 298 | D4×C13 | — | 2 | 3 | no | — |
| 299 | D4×C13 | — | 4 | 3 | no | — |
| 300 | D4×C13 | — | 4 | 3 | no | — |
| 301 | D4×C13 | — | 4 | 3 | no | — |
| 302 | D4×C13 | C2×D8 | 1 | 3 | yes | — |
| 303 | C2×C4×C13 | — | 4 | 3 | no | — |
| 304 | C2×C4×C13 | — | 4 | 3 | no | — |
| 305 | C2×C4×C13 | — | 4 | 3 | no | — |
| 306 | C2×C4×C13 | C22×D4 | 1 | 3 | yes | — |
| 307 | C22⋊D13 | — | 4 | 3 | no | — |
| 308 | C22⋊D13 | — | 4 | 3 | no | — |
| 309 | C22⋊D13 | — | 4 | 1 | no | — |
| 310 | C22⋊D13 | — | 4 | 6 | no | — |
| 311 | C22⋊D13 | — | 4 | 3 | no | — |
| 312 | C22⋊D13 | — | 4 | 3 | no | — |
| 313 | C22⋊D13 | — | 4 | 3 | no | — |
| 314 | C22⋊D13 | C2×D8 | 1 | 6 | yes | — |
| 315 | C2×Dic13 | — | 4 | 3 | no | — |
| 316 | C2×Dic13 | — | 4 | 6 | no | — |
| 317 | C2×Dic13 | — | 4 | 1 | no | — |
| 318 | C2×Dic13 | — | 4 | 3 | no | — |
| 319 | C2×Dic13 | C2×D8 | 1 | 3 | yes | — |
| 320 | D52 | — | 2 | 1 | no | — |
| 321 | D52 | — | 2 | 3 | no | — |
| 322 | D52 | — | 4 | 6 | no | — |
| 323 | D52 | — | 4 | 3 | no | — |
| 324 | D52 | — | 4 | 1 | no | — |
| 325 | D52 | — | 4 | 3 | no | — |
| 326 | D52 | C2×D8 | 1 | 3 | yes | — |
| 327 | C4×D13 | — | 4 | 3 | no | — |
| 328 | C4×D13 | — | 4 | 3 | no | — |
| 329 | C4×D13 | — | 4 | 3 | no | — |
| 330 | C4×D13 | — | 4 | 3 | no | — |
| 331 | C4×D13 | — | 4 | 1 | no | — |
| 332 | C4×D13 | — | 4 | 3 | no | — |
| 333 | C4×D13 | — | 4 | 6 | no | — |
| 334 | C4×D13 | C2×D8 | 1 | 3 | yes | — |
| 335 | C4×D13 | C2×D8 | 1 | 3 | yes | — |
| 336 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 337 | C4×D13 | C22×D4 | 1 | 3 | yes | — |
| 338 | Dic26 | — | 2 | 1 | no | — |
| 339 | Dic26 | — | 2 | 3 | no | — |
| 340 | Dic26 | — | 4 | 3 | no | — |
| 341 | Dic26 | — | 4 | 3 | no | — |
| 342 | Dic26 | — | 4 | 3 | no | — |
| 343 | Dic26 | C2×D8 | 1 | 3 | yes | — |
| 344 | C8×C13 | C22×D4 | 1 | 3 | yes | — |
| 345 | C8×C13 | C25 | 1 | 1 | yes | characteristic |
| 346 | #1055 | C22×D4 | 1 | 1 | yes | characteristic |
| 347 | #1055 | C22×D4 | 1 | 3 | yes | — |
| 348 | #585 | — | 26 | 1 | no | — |
| 349 | #585 | — | 26 | 1 | no | — |
| 350 | #578 | — | 13 | 3 | no | — |
| 351 | #578 | — | 13 | 3 | no | — |
| 352 | #578 | — | 13 | 1 | no | — |
| 353 | #578 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 354 | #577 | — | 26 | 3 | no | — |
| 355 | #577 | — | 26 | 3 | no | — |
| 356 | #577 | — | 26 | 1 | no | — |
| 357 | #577 | — | 26 | 1 | no | — |
| 358 | #576 | — | 13 | 3 | no | — |
| 359 | #576 | — | 13 | 3 | no | — |
| 360 | #576 | — | 13 | 1 | no | — |
| 361 | #576 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 362 | #575 | — | 26 | 3 | no | — |
| 363 | #575 | — | 26 | 3 | no | — |
| 364 | C2×#135 | — | 13 | 3 | no | — |
| 365 | C2×#135 | — | 13 | 3 | no | — |
| 366 | C2×#135 | — | 13 | 3 | no | — |
| 367 | C2×#135 | — | 13 | 3 | no | — |
| 368 | C2×#131 | — | 13 | 1 | no | — |
| 369 | #510 | — | 13 | 3 | no | — |
| 370 | #510 | — | 13 | 3 | no | — |
| 371 | #510 | — | 13 | 6 | no | — |
| 372 | #510 | — | 13 | 6 | no | — |
| 373 | #510 | — | 13 | 3 | no | — |
| 374 | #510 | C2×D13 | 1 | 3 | yes | complemented |
| 375 | #509 | — | 13 | 3 | no | — |
| 376 | #509 | — | 13 | 3 | no | — |
| 377 | #509 | — | 13 | 6 | no | — |
| 378 | #509 | — | 13 | 6 | no | — |
| 379 | #509 | — | 13 | 3 | no | — |
| 380 | #509 | C2×D13 | 1 | 3 | yes | complemented |
| 381 | #508 | — | 13 | 3 | no | — |
| 382 | #508 | — | 13 | 3 | no | — |
| 383 | #508 | — | 13 | 3 | no | — |
| 384 | #508 | — | 13 | 1 | no | — |
| 385 | #508 | — | 13 | 3 | no | — |
| 386 | #508 | — | 13 | 6 | no | — |
| 387 | #508 | — | 13 | 6 | no | — |
| 388 | #508 | — | 13 | 6 | no | — |
| 389 | #508 | — | 13 | 3 | no | — |
| 390 | #508 | — | 13 | 3 | no | — |
| 391 | #508 | C2×D13 | 1 | 3 | yes | complemented |
| 392 | C2×Q32 | — | 13 | 3 | no | — |
| 393 | C2×Q32 | — | 13 | 3 | no | — |
| 394 | C2×SD32 | — | 13 | 3 | no | — |
| 395 | C2×SD32 | — | 13 | 3 | no | — |
| 396 | C2×SD32 | — | 13 | 3 | no | — |
| 397 | C2×SD32 | C2×D13 | 1 | 3 | yes | complemented |
| 398 | C2×D16 | — | 13 | 3 | no | — |
| 399 | C2×D16 | — | 13 | 3 | no | — |
| 400 | #504 | — | 13 | 1 | no | — |
| 401 | #504 | — | 13 | 3 | no | — |
| 402 | #504 | — | 13 | 3 | no | — |
| 403 | #504 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 404 | C2×M32 | — | 13 | 3 | no | — |
| 405 | C22×C16 | — | 13 | 3 | no | — |
| 406 | C22×C13 | — | 4 | 3 | no | — |
| 407 | C22×C13 | — | 4 | 1 | no | — |
| 408 | C22×C13 | — | 16 | 3 | no | — |
| 409 | C22×C13 | C22×D8 | 1 | 3 | yes | — |
| 410 | C2×D13 | — | 4 | 3 | no | — |
| 411 | C2×D13 | — | 4 | 3 | no | — |
| 412 | C2×D13 | — | 4 | 1 | no | — |
| 413 | C2×D13 | — | 16 | 3 | no | — |
| 414 | C2×D13 | — | 16 | 3 | no | — |
| 415 | C2×D13 | — | 16 | 3 | no | — |
| 416 | C2×D13 | C22×D8 | 1 | 3 | yes | — |
| 417 | C2×D13 | C22×D8 | 1 | 1 | yes | characteristic |
| 418 | C4×C13 | — | 4 | 1 | no | — |
| 419 | C4×C13 | — | 4 | 3 | no | — |
| 420 | C4×C13 | C22×D8 | 1 | 3 | yes | — |
| 421 | C4×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 422 | Dic13 | — | 4 | 1 | no | — |
| 423 | Dic13 | — | 4 | 3 | no | — |
| 424 | Dic13 | C22×D8 | 1 | 3 | yes | — |
| 425 | Dic13 | C22×D8 | 1 | 1 | yes | characteristic |
| 426 | 2−1+4 | — | 2 | 1 | no | — |
| 427 | 2−1+4 | — | 26 | 3 | no | — |
| 428 | 2−1+4 | — | 26 | 3 | no | — |
| 429 | 2−1+4 | — | 26 | 1 | no | — |
| 430 | 2−1+4 | — | 52 | 1 | no | — |
| 431 | 2−1+4 | — | 52 | 1 | no | — |
| 432 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 433 | H(5,𝔽2) | — | 26 | 3 | no | — |
| 434 | H(5,𝔽2) | — | 26 | 3 | no | — |
| 435 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 436 | H(5,𝔽2) | — | 52 | 3 | no | — |
| 437 | H(5,𝔽2) | — | 52 | 3 | no | — |
| 438 | C2×#41 | — | 13 | 1 | no | — |
| 439 | C2×#41 | — | 26 | 3 | no | — |
| 440 | C2×#41 | — | 26 | 3 | no | — |
| 441 | C2×#41 | — | 26 | 3 | no | — |
| 442 | C2×#41 | — | 26 | 3 | no | — |
| 443 | C2×#41 | — | 52 | 3 | no | — |
| 444 | C2×#41 | — | 52 | 1 | no | — |
| 445 | C2×#41 | — | 52 | 1 | no | — |
| 446 | C2×#41 | — | 52 | 3 | no | — |
| 447 | #137 | — | 2 | 3 | no | — |
| 448 | #137 | — | 26 | 6 | no | — |
| 449 | #137 | — | 26 | 6 | no | — |
| 450 | #137 | — | 26 | 3 | no | — |
| 451 | #137 | — | 26 | 3 | no | — |
| 452 | #137 | — | 26 | 3 | no | — |
| 453 | AGL(1,ℤ/8) | — | 2 | 3 | no | — |
| 454 | AGL(1,ℤ/8) | — | 26 | 6 | no | — |
| 455 | AGL(1,ℤ/8) | — | 26 | 6 | no | — |
| 456 | AGL(1,ℤ/8) | — | 26 | 3 | no | — |
| 457 | AGL(1,ℤ/8) | — | 26 | 3 | no | — |
| 458 | AGL(1,ℤ/8) | — | 26 | 3 | no | — |
| 459 | #135 | — | 13 | 1 | no | — |
| 460 | #135 | — | 13 | 3 | no | — |
| 461 | #135 | — | 13 | 6 | no | — |
| 462 | #135 | — | 13 | 3 | no | — |
| 463 | #135 | — | 13 | 1 | no | — |
| 464 | #135 | — | 13 | 6 | no | — |
| 465 | #135 | — | 13 | 3 | no | — |
| 466 | #135 | — | 13 | 3 | no | — |
| 467 | #135 | — | 26 | 3 | no | — |
| 468 | #135 | — | 26 | 3 | no | — |
| 469 | #135 | — | 26 | 3 | no | — |
| 470 | #135 | — | 26 | 3 | no | — |
| 471 | #135 | — | 26 | 3 | no | — |
| 472 | #135 | — | 26 | 3 | no | — |
| 473 | #135 | — | 26 | 3 | no | — |
| 474 | #135 | — | 26 | 3 | no | — |
| 475 | #135 | C22×D13 | 1 | 3 | yes | — |
| 476 | #135 | C22×D13 | 1 | 3 | yes | — |
| 477 | C2×Q16 | — | 13 | 3 | no | — |
| 478 | C2×Q16 | — | 13 | 3 | no | — |
| 479 | C2×Q16 | — | 13 | 3 | no | — |
| 480 | C2×Q16 | C22×D13 | 1 | 3 | yes | — |
| 481 | C2×SD16 | — | 26 | 3 | no | — |
| 482 | C2×SD16 | — | 26 | 3 | no | — |
| 483 | C2×SD16 | — | 26 | 3 | no | — |
| 484 | C2×SD16 | — | 26 | 3 | no | — |
| 485 | C2×D8 | — | 13 | 3 | no | — |
| 486 | C2×D8 | — | 13 | 3 | no | — |
| 487 | C2×D8 | — | 13 | 3 | no | — |
| 488 | C2×D8 | C22×D13 | 1 | 3 | yes | — |
| 489 | #131 | — | 13 | 1 | no | — |
| 490 | #131 | — | 13 | 3 | no | — |
| 491 | #131 | — | 13 | 3 | no | — |
| 492 | #131 | C22×D13 | 1 | 1 | yes | characteristic |
| 493 | C2×M16 | — | 13 | 3 | no | — |
| 494 | C22×C8 | — | 13 | 3 | no | — |
| 495 | Q32 | — | 13 | 1 | no | — |
| 496 | Q32 | — | 13 | 3 | no | — |
| 497 | Q32 | — | 13 | 6 | no | — |
| 498 | Q32 | — | 13 | 3 | no | — |
| 499 | Q32 | C22×D13 | 1 | 3 | yes | — |
| 500 | SD32 | — | 13 | 3 | no | — |
| 501 | SD32 | — | 13 | 3 | no | — |
| 502 | SD32 | — | 13 | 3 | no | — |
| 503 | SD32 | — | 13 | 3 | no | — |
| 504 | SD32 | — | 13 | 3 | no | — |
| 505 | SD32 | — | 13 | 1 | no | — |
| 506 | SD32 | — | 13 | 6 | no | — |
| 507 | SD32 | C22×D13 | 1 | 1 | yes | characteristic |
| 508 | SD32 | C22×D13 | 1 | 3 | yes | — |
| 509 | SD32 | C22×D13 | 1 | 6 | yes | — |
| 510 | D16 | — | 13 | 3 | no | — |
| 511 | D16 | — | 13 | 1 | no | — |
| 512 | D16 | — | 13 | 6 | no | — |
| 513 | D16 | — | 13 | 3 | no | — |
| 514 | D16 | C22×D13 | 1 | 3 | yes | — |
| 515 | M32 | — | 13 | 3 | no | — |
| 516 | M32 | — | 13 | 6 | no | — |
| 517 | M32 | C22×D13 | 1 | 3 | yes | — |
| 518 | C2×C16 | — | 13 | 3 | no | — |
| 519 | C2×C16 | — | 13 | 1 | no | — |
| 520 | C2×C16 | — | 13 | 3 | no | — |
| 521 | C2×C16 | — | 13 | 3 | no | — |
| 522 | C2×C16 | — | 13 | 3 | no | — |
| 523 | C2×C16 | C22×D13 | 1 | 3 | yes | — |
| 524 | C2×C13 | — | 2 | 3 | no | — |
| 525 | C2×C13 | — | 8 | 1 | no | — |
| 526 | C2×C13 | — | 8 | 3 | no | — |
| 527 | C2×C13 | C23×D8 | 1 | 1 | yes | characteristic |
| 528 | D13 | — | 2 | 1 | no | — |
| 529 | D13 | — | 2 | 3 | no | — |
| 530 | D13 | — | 8 | 3 | no | — |
| 531 | D13 | — | 8 | 1 | no | — |
| 532 | #41 | — | 2 | 3 | no | — |
| 533 | #41 | — | 2 | 3 | no | — |
| 534 | #41 | — | 4 | 1 | no | — |
| 535 | #41 | — | 4 | 3 | no | — |
| 536 | #41 | — | 13 | 1 | no | — |
| 537 | #41 | — | 13 | 3 | no | — |
| 538 | #41 | — | 13 | 3 | no | — |
| 539 | #41 | — | 26 | 3 | no | — |
| 540 | #41 | — | 26 | 1 | no | — |
| 541 | #41 | — | 26 | 6 | no | — |
| 542 | #41 | — | 26 | 1 | no | — |
| 543 | #41 | — | 26 | 3 | no | — |
| 544 | #41 | — | 26 | 6 | no | — |
| 545 | #41 | — | 26 | 3 | no | — |
| 546 | #41 | — | 26 | 3 | no | — |
| 547 | #41 | — | 52 | 3 | no | — |
| 548 | #41 | — | 52 | 3 | no | — |
| 549 | #41 | — | 52 | 6 | no | — |
| 550 | #41 | — | 52 | 3 | no | — |
| 551 | #41 | — | 52 | 3 | no | — |
| 552 | #41 | — | 52 | 3 | no | — |
| 553 | #41 | — | 52 | 3 | no | — |
| 554 | #41 | — | 52 | 3 | no | — |
| 555 | #41 | — | 52 | 3 | no | — |
| 556 | #41 | — | 52 | 3 | no | — |
| 557 | #41 | — | 52 | 3 | no | — |
| 558 | #41 | — | 52 | 6 | no | — |
| 559 | #41 | — | 52 | 3 | no | — |
| 560 | #41 | — | 52 | 3 | no | — |
| 561 | #41 | — | 52 | 1 | no | — |
| 562 | #41 | — | 52 | 3 | no | — |
| 563 | #41 | D4×D13 | 1 | 1 | yes | characteristic |
| 564 | C2×Q8 | — | 2 | 3 | no | — |
| 565 | C2×Q8 | — | 4 | 1 | no | — |
| 566 | C2×Q8 | — | 13 | 1 | no | — |
| 567 | C2×Q8 | — | 26 | 3 | no | — |
| 568 | C2×Q8 | — | 26 | 3 | no | — |
| 569 | C2×Q8 | — | 26 | 3 | no | — |
| 570 | C2×Q8 | — | 52 | 3 | no | — |
| 571 | C2×Q8 | — | 52 | 3 | no | — |
| 572 | C2×Q8 | — | 52 | 1 | no | — |
| 573 | C2×D4 | — | 2 | 3 | no | — |
| 574 | C2×D4 | — | 4 | 3 | no | — |
| 575 | C2×D4 | — | 13 | 3 | no | — |
| 576 | C2×D4 | — | 26 | 3 | no | — |
| 577 | C2×D4 | — | 26 | 3 | no | — |
| 578 | C2×D4 | — | 26 | 3 | no | — |
| 579 | C2×D4 | — | 52 | 3 | no | — |
| 580 | C2×D4 | — | 52 | 3 | no | — |
| 581 | C2×D4 | — | 52 | 6 | no | — |
| 582 | C2×D4 | — | 52 | 3 | no | — |
| 583 | C2×D4 | — | 52 | 3 | no | — |
| 584 | C2×D4 | — | 52 | 3 | no | — |
| 585 | C2×D4 | — | 52 | 6 | no | — |
| 586 | C2×D4 | — | 52 | 3 | no | — |
| 587 | C2×D4 | — | 52 | 3 | no | — |
| 588 | C22×C4 | — | 13 | 3 | no | — |
| 589 | C22×C4 | — | 52 | 3 | no | — |
| 590 | C22×C4 | — | 52 | 3 | no | — |
| 591 | C22×C4 | — | 52 | 3 | no | — |
| 592 | C22×C4 | — | 52 | 3 | no | — |
| 593 | Q16 | — | 2 | 3 | no | — |
| 594 | Q16 | — | 13 | 1 | no | — |
| 595 | Q16 | — | 13 | 3 | no | — |
| 596 | Q16 | — | 26 | 3 | no | — |
| 597 | Q16 | — | 26 | 3 | no | — |
| 598 | Q16 | — | 26 | 3 | no | — |
| 599 | Q16 | C23×D13 | 1 | 1 | yes | characteristic |
| 600 | Q16 | C23×D13 | 1 | 3 | yes | — |
| 601 | SD16 | — | 2 | 3 | no | — |
| 602 | SD16 | — | 2 | 3 | no | — |
| 603 | SD16 | — | 26 | 3 | no | — |
| 604 | SD16 | — | 26 | 1 | no | — |
| 605 | SD16 | — | 26 | 6 | no | — |
| 606 | SD16 | — | 26 | 1 | no | — |
| 607 | SD16 | — | 26 | 3 | no | — |
| 608 | SD16 | — | 26 | 6 | no | — |
| 609 | SD16 | — | 26 | 3 | no | — |
| 610 | SD16 | — | 26 | 3 | no | — |
| 611 | D8 | — | 2 | 3 | no | — |
| 612 | D8 | — | 13 | 3 | no | — |
| 613 | D8 | — | 13 | 1 | no | — |
| 614 | D8 | — | 26 | 3 | no | — |
| 615 | D8 | — | 26 | 3 | no | — |
| 616 | D8 | — | 26 | 3 | no | — |
| 617 | D8 | C23×D13 | 1 | 3 | yes | — |
| 618 | D8 | C23×D13 | 1 | 1 | yes | characteristic |
| 619 | M16 | — | 13 | 3 | no | — |
| 620 | M16 | — | 13 | 6 | no | — |
| 621 | M16 | D4×D13 | 1 | 3 | yes | — |
| 622 | C2×C8 | — | 13 | 3 | no | — |
| 623 | C2×C8 | — | 13 | 3 | no | — |
| 624 | C2×C8 | — | 13 | 3 | no | — |
| 625 | C2×C8 | — | 13 | 1 | no | — |
| 626 | C2×C8 | — | 13 | 3 | no | — |
| 627 | C2×C8 | C23×D13 | 1 | 3 | yes | — |
| 628 | C16 | — | 13 | 1 | no | — |
| 629 | C16 | — | 13 | 3 | no | — |
| 630 | C16 | C23×D13 | 1 | 1 | yes | characteristic |
| 631 | C16 | C23×D13 | 1 | 3 | yes | — |
| 632 | C13 | #62635 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 633 | C23 | — | 4 | 3 | no | — |
| 634 | C23 | — | 13 | 3 | no | — |
| 635 | C23 | — | 52 | 3 | no | — |
| 636 | C23 | — | 52 | 3 | no | — |
| 637 | C23 | — | 52 | 3 | no | — |
| 638 | Q8 | — | 2 | 1 | no | — |
| 639 | Q8 | — | 2 | 3 | no | — |
| 640 | Q8 | — | 4 | 3 | no | — |
| 641 | Q8 | — | 13 | 3 | no | — |
| 642 | Q8 | — | 26 | 1 | no | — |
| 643 | Q8 | — | 26 | 3 | no | — |
| 644 | Q8 | — | 52 | 3 | no | — |
| 645 | Q8 | — | 52 | 3 | no | — |
| 646 | Q8 | — | 52 | 3 | no | — |
| 647 | Q8 | D8×D13 | 1 | 1 | yes | characteristic |
| 648 | D4 | — | 2 | 3 | no | — |
| 649 | D4 | — | 2 | 1 | no | — |
| 650 | D4 | — | 4 | 3 | no | — |
| 651 | D4 | — | 4 | 3 | no | — |
| 652 | D4 | — | 4 | 3 | no | — |
| 653 | D4 | — | 13 | 6 | no | — |
| 654 | D4 | — | 13 | 3 | no | — |
| 655 | D4 | — | 26 | 1 | no | — |
| 656 | D4 | — | 26 | 3 | no | — |
| 657 | D4 | — | 52 | 1 | no | — |
| 658 | D4 | — | 52 | 3 | no | — |
| 659 | D4 | — | 52 | 6 | no | — |
| 660 | D4 | — | 52 | 3 | no | — |
| 661 | D4 | — | 52 | 3 | no | — |
| 662 | D4 | — | 52 | 1 | no | — |
| 663 | D4 | — | 52 | 3 | no | — |
| 664 | D4 | — | 52 | 6 | no | — |
| 665 | D4 | — | 52 | 3 | no | — |
| 666 | D4 | — | 52 | 3 | no | — |
| 667 | D4 | — | 52 | 3 | no | — |
| 668 | D4 | D8×D13 | 1 | 3 | yes | — |
| 669 | C2×C4 | — | 4 | 3 | no | — |
| 670 | C2×C4 | — | 4 | 3 | no | — |
| 671 | C2×C4 | — | 4 | 3 | no | — |
| 672 | C2×C4 | — | 13 | 3 | no | — |
| 673 | C2×C4 | — | 13 | 3 | no | — |
| 674 | C2×C4 | — | 13 | 3 | no | — |
| 675 | C2×C4 | — | 13 | 1 | no | — |
| 676 | C2×C4 | — | 13 | 3 | no | — |
| 677 | C2×C4 | — | 52 | 1 | no | — |
| 678 | C2×C4 | — | 52 | 3 | no | — |
| 679 | C2×C4 | — | 52 | 6 | no | — |
| 680 | C2×C4 | — | 52 | 3 | no | — |
| 681 | C2×C4 | — | 52 | 3 | no | — |
| 682 | C2×C4 | — | 52 | 1 | no | — |
| 683 | C2×C4 | — | 52 | 3 | no | — |
| 684 | C2×C4 | — | 52 | 6 | no | — |
| 685 | C2×C4 | — | 52 | 3 | no | — |
| 686 | C2×C4 | — | 52 | 3 | no | — |
| 687 | C2×C4 | — | 52 | 3 | no | — |
| 688 | C2×C4 | C2×D4×D13 | 1 | 3 | yes | — |
| 689 | C8 | — | 13 | 1 | no | — |
| 690 | C8 | — | 13 | 3 | no | — |
| 691 | C8 | C2×D4×D13 | 1 | 3 | yes | — |
| 692 | C8 | C24×D13 | 1 | 1 | yes | characteristic |
| 693 | C22 | — | 4 | 1 | no | — |
| 694 | C22 | — | 4 | 3 | no | — |
| 695 | C22 | — | 13 | 1 | no | — |
| 696 | C22 | — | 13 | 3 | no | — |
| 697 | C22 | — | 16 | 3 | no | — |
| 698 | C22 | — | 52 | 3 | no | — |
| 699 | C22 | — | 52 | 3 | no | — |
| 700 | C22 | — | 52 | 1 | no | — |
| 701 | C22 | — | 208 | 3 | no | — |
| 702 | C22 | — | 208 | 3 | no | — |
| 703 | C22 | — | 208 | 3 | no | — |
| 704 | C22 | C2×D8×D13 | 1 | 3 | yes | — |
| 705 | C4 | — | 4 | 1 | no | — |
| 706 | C4 | — | 4 | 3 | no | — |
| 707 | C4 | — | 13 | 1 | no | — |
| 708 | C4 | — | 13 | 3 | no | — |
| 709 | C4 | — | 52 | 1 | no | — |
| 710 | C4 | — | 52 | 3 | no | — |
| 711 | C4 | C2×D8×D13 | 1 | 3 | yes | — |
| 712 | C4 | C22×D4×D13 | 1 | 1 | yes | characteristic |
| 713 | C2 | — | 2 | 3 | no | — |
| 714 | C2 | — | 8 | 3 | no | — |
| 715 | C2 | — | 8 | 1 | no | — |
| 716 | C2 | — | 26 | 1 | no | — |
| 717 | C2 | — | 26 | 3 | no | — |
| 718 | C2 | — | 104 | 3 | no | — |
| 719 | C2 | — | 104 | 1 | no | — |
| 720 | C2 | C22×D8×D13 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129606 | C2 | semidirect |
| 2. #13129604 | C2 | semidirect |
| 3. #13127988 | C2 | semidirect |
| 4. #13127987 | C2 | semidirect |
| 5. #13127984 | C2 | semidirect |
| 6. #13127979 | C2 | semidirect |
| 7. #13127978 | C2 | semidirect |
| 8. #13127976 | C2 | semidirect |
| 9. #13127975 | C2 | semidirect |
| 10. #13127971 | C2 | semidirect |
| 11. #13127968 | C2 | semidirect |
| 12. C2×#11718577 | C2 | semidirect |
| 13. D13×#508 | C2 | semidirect |
| 14. D13×#504 | C2 | semidirect |
| 15. C13×#3416 | C2 | semidirect |
| 18. C13×#578 | C22 | semidirect |
| 19. C13×#576 | C22 | semidirect |
| 26. #11719476 | C22 | semidirect |
| 27. #11719474 | C22 | semidirect |
| 28. D13×#135 | C22 | semidirect |
| 29. D13×#135 | C22 | semidirect |
| 30. #11719471 | C22 | semidirect |
| 31. C2×#88173 | C22 | semidirect |
| 32. #11719462 | C22 | semidirect |
| 33. C2×#88166 | C22 | semidirect |
| 34. #11719458 | C22 | semidirect |
| 35. #11719457 | C22 | semidirect |
| 37. C13×#510 | C22 | semidirect |
| 38. C13×#509 | C22 | semidirect |
| 39. C13×#508 | C22 | semidirect |
| 40. C2×C13×SD32 | C22 | semidirect |
| 41. C13×#504 | C22 | semidirect |
| 42. #11718856 | C22 | semidirect |
| 43. #11718855 | C22 | semidirect |
| 44. #11718855 | C22 | semidirect |
| 45. #11718854 | C22 | semidirect |
| 46. C2×#88069 | C22 | semidirect |
| 47. #11718840 | C22 | semidirect |
| 48. #11718808 | C22 | semidirect |
| 49. C2×#88066 | C22 | semidirect |
| 50. #11718801 | C22 | semidirect |
| 51. #11718580 | C22 | semidirect |
| 52. #11718579 | C22 | semidirect |
| 53. D13×Q32 | C22 | semidirect |
| 54. #11718577 | C22 | semidirect |
| 55. #11718577 | C22 | semidirect |
| 56. #11718577 | C22 | semidirect |
| 57. #11718577 | C22 | semidirect |
| 58. #11718577 | C22 | semidirect |
| 59. #11718576 | C22 | semidirect |
| 60. #11718575 | C22 | semidirect |
| 61. D13×SD32 | C22 | semidirect |
| 62. D13×SD32 | C22 | semidirect |
| 63. #11718573 | C22 | semidirect |
| 64. #11718572 | C22 | semidirect |
| 65. D13×D16 | C22 | semidirect |
| 66. #11718570 | C22 | semidirect |
| 67. #11718569 | C22 | semidirect |
| 68. #11718568 | C22 | semidirect |
| 69. D13×M32 | C22 | semidirect |
| 70. #11718565 | C22 | semidirect |
| 71. C2×#88040 | C22 | semidirect |
| 72. #11718562 | C22 | semidirect |
| 73. C2×C16×D13 | C22 | semidirect |
| 280. #3416 | D13 | semidirect |
| 353. #578 | C2×D13 | semidirect |
| 361. #576 | C2×D13 | semidirect |
| 374. #510 | C2×D13 | semidirect |
| 380. #509 | C2×D13 | semidirect |
| 391. #508 | C2×D13 | semidirect |
| 397. C2×SD32 | C2×D13 | semidirect |
| 403. #504 | C2×D13 | semidirect |
| 632. C13 | #62635 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129606 | 2 |
| #13129604 | 2 |
| #13127988 | 2 |
| #13127987 | 2 |
| #13127984 | 2 |
| #13127979 | 2 |
| #13127978 | 2 |
| #13127976 | 2 |
| #13127975 | 2 |
| #13127971 | 2 |
| #13127968 | 2 |
| C2×#11718577 | 2 |
| D13×#508 | 2 |
| D13×#504 | 2 |
| C13×#3416 | 2 |
| #62635 | 13 |