Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 82 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13131379 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13131020 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | D13⋊#329 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13129713 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | D13×#497 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×Q16×D13 | — | 2 | 1 | no | — |
| 7 | C2×SD16×D13 | — | 2 | 1 | no | — |
| 8 | D13×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 9 | D13×#124 | C22 | 1 | 1 | yes | characteristic |
| 10 | (C2×#261)⋊Q8 | — | 2 | 1 | no | — |
| 11 | #11719150 | — | 2 | 1 | no | — |
| 12 | #11719071 | — | 2 | 2 | no | — |
| 13 | #11719070 | — | 2 | 2 | no | — |
| 14 | #11719060 | C22 | 1 | 2 | yes | — |
| 15 | #11719047 | C22 | 1 | 2 | yes | — |
| 16 | C13×#497 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11718851 | — | 2 | 1 | no | — |
| 18 | #11718828 | — | 2 | 1 | no | — |
| 19 | #11718747 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | #11718721 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | #11718376 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | D13×#97 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11718299 | — | 2 | 1 | no | — |
| 24 | #11718293 | — | 2 | 1 | no | — |
| 25 | #11718246 | — | 2 | 2 | no | — |
| 26 | #11718246 | — | 2 | 2 | no | — |
| 27 | C23×#261 | — | 2 | 1 | no | — |
| 28 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 29 | C2×Q8×D13 | D4 | 1 | 1 | yes | characteristic |
| 30 | C2×D4×D13 | D4 | 1 | 1 | yes | characteristic |
| 31 | C2×C22⋊#261 | — | 2 | 2 | no | — |
| 32 | C2×C22⋊#261 | — | 2 | 1 | no | — |
| 33 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 34 | C2×C4⋊#261 | D4 | 1 | 2 | yes | — |
| 35 | C2×C4⋊#261 | D4 | 1 | 2 | yes | — |
| 36 | C2×C4×#261 | — | 2 | 1 | no | — |
| 37 | C2×D13⋊C8 | — | 2 | 2 | no | — |
| 38 | C2×C13×Q16 | — | 2 | 1 | no | — |
| 39 | C2×C13×SD16 | — | 2 | 1 | no | — |
| 40 | C13×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 41 | C13×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | #88201 | D4 | 1 | 1 | yes | characteristic |
| 43 | #88198 | — | 2 | 1 | no | — |
| 44 | C2×#6107 | — | 2 | 1 | no | — |
| 45 | C2×#6107 | — | 2 | 1 | no | — |
| 46 | C2×#6106 | — | 2 | 1 | no | — |
| 47 | #88190 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×#6105 | — | 2 | 1 | no | — |
| 49 | Q16×D13 | — | 4 | 2 | no | — |
| 50 | Q16×D13 | — | 4 | 2 | no | — |
| 51 | SD16×D13 | — | 4 | 2 | no | — |
| 52 | SD16×D13 | — | 4 | 2 | no | — |
| 53 | C2×Dic52 | — | 2 | 1 | no | — |
| 54 | C2×#6095 | — | 2 | 1 | no | — |
| 55 | C2×C8×D13 | — | 2 | 1 | no | — |
| 56 | C4⋊C4×D13 | — | 2 | 2 | no | — |
| 57 | #88142 | — | 2 | 2 | no | — |
| 58 | #88139 | — | 2 | 2 | no | — |
| 59 | C22⋊C4×D13 | — | 2 | 2 | no | — |
| 60 | #88129 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C42×D13 | C23 | 1 | 1 | yes | characteristic |
| 62 | #88123 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 63 | (C2×#261)⋊C4 | — | 2 | 2 | no | — |
| 64 | (C2×#261)⋊C4 | — | 2 | 2 | no | — |
| 65 | (C2×#261)⋊C4 | — | 2 | 2 | no | — |
| 66 | #88110 | — | 2 | 2 | no | — |
| 67 | #88110 | — | 2 | 2 | no | — |
| 68 | C13×#97 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 69 | #88055 | — | 2 | 1 | no | — |
| 70 | #88043 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 71 | #9003 | — | 13 | 1 | no | maximal, Sylow |
| 72 | C23×D13 | — | 2 | 1 | no | — |
| 73 | C22×#261 | — | 2 | 2 | no | — |
| 74 | C22×#261 | — | 2 | 2 | no | — |
| 75 | C22×#261 | — | 8 | 1 | no | — |
| 76 | C22×#261 | — | 8 | 2 | no | — |
| 77 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 78 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 79 | C2×D4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 80 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 81 | Q8×D13 | — | 4 | 1 | no | — |
| 82 | Q8×D13 | — | 4 | 1 | no | — |
| 83 | Q8×D13 | — | 4 | 1 | no | — |
| 84 | Q8×D13 | — | 4 | 1 | no | — |
| 85 | Q8×D13 | — | 4 | 1 | no | — |
| 86 | Q8×D13 | — | 4 | 1 | no | — |
| 87 | D4×D13 | — | 4 | 1 | no | — |
| 88 | D4×D13 | — | 4 | 1 | no | — |
| 89 | C2×D52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 90 | C2×C4×D13 | — | 2 | 1 | no | — |
| 91 | C2×C4×D13 | — | 4 | 1 | no | — |
| 92 | C2×C4×D13 | C2×D4 | 1 | 2 | yes | — |
| 93 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C2×Dic26 | — | 2 | 1 | no | — |
| 95 | C2×Dic26 | — | 2 | 1 | no | — |
| 96 | C2×Dic26 | — | 4 | 1 | no | — |
| 97 | C2×Dic26 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 98 | C22⋊#261 | — | 8 | 1 | no | — |
| 99 | C22⋊#261 | — | 8 | 2 | no | — |
| 100 | C2×#1057 | — | 4 | 2 | no | — |
| 101 | C4⋊#261 | — | 4 | 2 | no | — |
| 102 | C4⋊#261 | — | 4 | 2 | no | — |
| 103 | C4⋊#261 | — | 8 | 1 | no | — |
| 104 | C4×#261 | — | 8 | 1 | no | — |
| 105 | D13⋊C8 | — | 2 | 4 | no | — |
| 106 | D13⋊C8 | — | 4 | 2 | no | — |
| 107 | C13×Q16 | — | 4 | 2 | no | — |
| 108 | C13×SD16 | — | 4 | 2 | no | — |
| 109 | C2×C8×C13 | — | 2 | 1 | no | — |
| 110 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 111 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 112 | C42×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 113 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 114 | #6107 | — | 4 | 2 | no | — |
| 115 | #6107 | — | 4 | 2 | no | — |
| 116 | #6106 | — | 4 | 2 | no | — |
| 117 | #6105 | — | 4 | 2 | no | — |
| 118 | #6103 | — | 2 | 2 | no | — |
| 119 | #6103 | — | 2 | 2 | no | — |
| 120 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 121 | #6101 | — | 4 | 2 | no | — |
| 122 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C4×Dic13 | #41 | 1 | 2 | yes | — |
| 124 | C2×#1055 | — | 2 | 1 | no | — |
| 125 | Dic52 | — | 4 | 2 | no | — |
| 126 | #6095 | — | 4 | 2 | no | — |
| 127 | C8×D13 | — | 2 | 2 | no | — |
| 128 | C8×D13 | — | 2 | 2 | no | — |
| 129 | C2×#497 | — | 13 | 1 | no | — |
| 130 | #2379 | — | 13 | 1 | no | — |
| 131 | #1993 | — | 13 | 2 | no | — |
| 132 | C2×#329 | — | 13 | 1 | no | — |
| 133 | #1295 | — | 13 | 2 | no | — |
| 134 | C23×C13 | — | 2 | 1 | no | — |
| 135 | C22×D13 | — | 2 | 1 | no | — |
| 136 | C22×D13 | — | 4 | 1 | no | — |
| 137 | C22×D13 | — | 4 | 1 | no | — |
| 138 | C22×D13 | — | 4 | 2 | no | — |
| 139 | C22×D13 | — | 4 | 2 | no | — |
| 140 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 141 | C2×#261 | — | 4 | 2 | no | — |
| 142 | C2×#261 | — | 4 | 2 | no | — |
| 143 | C2×#261 | — | 4 | 2 | no | — |
| 144 | C2×#261 | — | 4 | 2 | no | — |
| 145 | C2×#261 | — | 4 | 2 | no | — |
| 146 | C2×#261 | — | 4 | 2 | no | — |
| 147 | C2×#261 | — | 8 | 4 | no | — |
| 148 | Q8×C13 | — | 4 | 1 | no | — |
| 149 | Q8×C13 | — | 4 | 1 | no | — |
| 150 | Q8×C13 | — | 4 | 1 | no | — |
| 151 | D4×C13 | — | 4 | 1 | no | — |
| 152 | C2×C4×C13 | — | 2 | 1 | no | — |
| 153 | C2×C4×C13 | — | 4 | 1 | no | — |
| 154 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C13 | C4×D4 | 1 | 2 | yes | — |
| 156 | C22⋊D13 | — | 8 | 1 | no | — |
| 157 | C2×Dic13 | — | 2 | 1 | no | — |
| 158 | C2×Dic13 | — | 4 | 1 | no | — |
| 159 | C2×Dic13 | #121 | 1 | 2 | yes | — |
| 160 | C2×Dic13 | #123 | 1 | 1 | yes | characteristic |
| 161 | D52 | — | 4 | 1 | no | — |
| 162 | C4×D13 | — | 2 | 1 | no | — |
| 163 | C4×D13 | — | 2 | 1 | no | — |
| 164 | C4×D13 | — | 2 | 2 | no | — |
| 165 | C4×D13 | — | 2 | 2 | no | — |
| 166 | C4×D13 | — | 4 | 1 | no | — |
| 167 | C4×D13 | — | 4 | 1 | no | — |
| 168 | C4×D13 | — | 8 | 1 | no | — |
| 169 | C4×D13 | — | 8 | 1 | no | — |
| 170 | Dic26 | — | 4 | 1 | no | — |
| 171 | Dic26 | — | 4 | 1 | no | — |
| 172 | Dic26 | — | 4 | 1 | no | — |
| 173 | Dic26 | — | 8 | 1 | no | — |
| 174 | Dic26 | — | 8 | 1 | no | — |
| 175 | Dic26 | — | 8 | 1 | no | — |
| 176 | #1057 | — | 4 | 4 | no | — |
| 177 | C8×C13 | — | 2 | 2 | no | — |
| 178 | #1055 | — | 2 | 2 | no | — |
| 179 | C22×Q16 | — | 26 | 1 | no | — |
| 180 | C22×SD16 | — | 26 | 1 | no | — |
| 181 | C2×C4⋊Q8 | — | 13 | 1 | no | — |
| 182 | C2×#124 | — | 13 | 1 | no | — |
| 183 | #497 | — | 13 | 1 | no | — |
| 184 | #497 | — | 13 | 1 | no | — |
| 185 | #497 | — | 13 | 1 | no | — |
| 186 | #497 | — | 26 | 1 | no | — |
| 187 | #497 | — | 26 | 1 | no | — |
| 188 | #497 | #261 | 1 | 1 | yes | characteristic, complemented |
| 189 | C2×#97 | — | 13 | 1 | no | — |
| 190 | C2×#97 | — | 13 | 2 | no | — |
| 191 | #391 | — | 26 | 1 | no | — |
| 192 | #388 | — | 26 | 2 | no | — |
| 193 | #386 | — | 26 | 1 | no | — |
| 194 | #385 | — | 26 | 2 | no | — |
| 195 | #382 | — | 13 | 2 | no | — |
| 196 | #340 | — | 26 | 2 | no | — |
| 197 | #340 | — | 26 | 2 | no | — |
| 198 | #329 | — | 26 | 1 | no | — |
| 199 | #329 | — | 26 | 1 | no | — |
| 200 | C22×C13 | — | 4 | 2 | no | — |
| 201 | C22×C13 | — | 4 | 1 | no | — |
| 202 | C22×C13 | #386 | 1 | 1 | yes | characteristic |
| 203 | C2×D13 | — | 4 | 2 | no | — |
| 204 | C2×D13 | — | 4 | 1 | no | — |
| 205 | C2×D13 | — | 8 | 1 | no | — |
| 206 | C2×D13 | — | 8 | 1 | no | — |
| 207 | C2×D13 | — | 8 | 2 | no | — |
| 208 | C2×D13 | #453 | 1 | 1 | yes | characteristic |
| 209 | C2×D13 | #453 | 1 | 1 | yes | characteristic |
| 210 | C2×D13 | #455 | 1 | 2 | yes | — |
| 211 | C2×D13 | #456 | 1 | 2 | yes | — |
| 212 | #261 | — | 8 | 2 | no | — |
| 213 | #261 | — | 8 | 2 | no | — |
| 214 | C4×C13 | — | 2 | 2 | no | — |
| 215 | C4×C13 | — | 2 | 1 | no | — |
| 216 | C4×C13 | — | 4 | 1 | no | — |
| 217 | C4×C13 | — | 8 | 1 | no | — |
| 218 | Dic13 | — | 2 | 2 | no | — |
| 219 | Dic13 | — | 2 | 1 | no | — |
| 220 | Dic13 | — | 4 | 1 | no | — |
| 221 | Dic13 | — | 8 | 1 | no | — |
| 222 | C22×Q8 | — | 13 | 1 | no | — |
| 223 | C22×Q8 | — | 26 | 1 | no | — |
| 224 | C22×D4 | — | 13 | 1 | no | — |
| 225 | C23×C4 | — | 26 | 1 | no | — |
| 226 | C2×Q16 | — | 2 | 1 | no | — |
| 227 | C2×Q16 | — | 26 | 1 | no | — |
| 228 | C2×Q16 | — | 26 | 1 | no | — |
| 229 | C2×Q16 | — | 26 | 1 | no | — |
| 230 | C2×Q16 | — | 52 | 2 | no | — |
| 231 | C2×Q16 | — | 52 | 2 | no | — |
| 232 | C2×SD16 | — | 2 | 1 | no | — |
| 233 | C2×SD16 | — | 26 | 1 | no | — |
| 234 | C2×SD16 | — | 26 | 1 | no | — |
| 235 | C2×SD16 | — | 26 | 1 | no | — |
| 236 | C2×SD16 | — | 52 | 2 | no | — |
| 237 | C2×SD16 | — | 52 | 2 | no | — |
| 238 | C22×C8 | — | 26 | 1 | no | — |
| 239 | C22×C8 | — | 26 | 2 | no | — |
| 240 | C4⋊Q8 | — | 13 | 1 | no | — |
| 241 | C4⋊Q8 | — | 26 | 2 | no | — |
| 242 | C4⋊Q8 | — | 26 | 1 | no | — |
| 243 | C4⋊Q8 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 244 | #124 | — | 13 | 1 | no | — |
| 245 | #124 | — | 13 | 1 | no | — |
| 246 | #124 | — | 13 | 1 | no | — |
| 247 | #124 | — | 26 | 2 | no | — |
| 248 | #124 | C2×#261 | 1 | 1 | yes | characteristic |
| 249 | C2×C4⋊C4 | — | 13 | 2 | no | — |
| 250 | C2×C4⋊C4 | — | 13 | 2 | no | — |
| 251 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 252 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 253 | C2×C22⋊C4 | — | 26 | 2 | no | — |
| 254 | C2×C22⋊C4 | — | 26 | 2 | no | — |
| 255 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 256 | C2×C42 | — | 13 | 1 | no | — |
| 257 | C2×C42 | — | 26 | 1 | no | — |
| 258 | #97 | — | 13 | 1 | no | — |
| 259 | #97 | — | 26 | 1 | no | — |
| 260 | #97 | — | 26 | 2 | no | — |
| 261 | #97 | — | 26 | 2 | no | — |
| 262 | #97 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 263 | #95 | — | 26 | 2 | no | — |
| 264 | #95 | — | 26 | 2 | no | — |
| 265 | #95 | — | 26 | 2 | no | — |
| 266 | C2×C13 | — | 8 | 1 | no | — |
| 267 | C2×C13 | #1882 | 1 | 2 | yes | — |
| 268 | C2×C13 | #1887 | 1 | 1 | yes | characteristic |
| 269 | D13 | — | 8 | 1 | no | — |
| 270 | D13 | #1659 | 1 | 1 | yes | characteristic |
| 271 | D13 | #1660 | 1 | 1 | yes | characteristic |
| 272 | D13 | #1661 | 1 | 2 | yes | — |
| 273 | C24 | — | 26 | 1 | no | — |
| 274 | C2×Q8 | — | 2 | 1 | no | — |
| 275 | C2×Q8 | — | 13 | 1 | no | — |
| 276 | C2×Q8 | — | 26 | 1 | no | — |
| 277 | C2×Q8 | — | 26 | 1 | no | — |
| 278 | C2×Q8 | — | 52 | 1 | no | — |
| 279 | C2×Q8 | — | 52 | 1 | no | — |
| 280 | C2×Q8 | — | 52 | 1 | no | — |
| 281 | C2×Q8 | — | 52 | 1 | no | — |
| 282 | C2×Q8 | — | 52 | 1 | no | — |
| 283 | C2×Q8 | — | 52 | 1 | no | — |
| 284 | C2×Q8 | — | 52 | 1 | no | — |
| 285 | C2×Q8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 286 | C2×D4 | — | 13 | 1 | no | — |
| 287 | C2×D4 | — | 26 | 1 | no | — |
| 288 | C2×D4 | — | 52 | 1 | no | — |
| 289 | C2×D4 | — | 52 | 1 | no | — |
| 290 | C2×D4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 291 | C22×C4 | — | 13 | 2 | no | — |
| 292 | C22×C4 | — | 13 | 1 | no | — |
| 293 | C22×C4 | — | 26 | 1 | no | — |
| 294 | C22×C4 | — | 26 | 2 | no | — |
| 295 | C22×C4 | — | 26 | 2 | no | — |
| 296 | C22×C4 | — | 52 | 1 | no | — |
| 297 | C22×C4 | — | 104 | 2 | no | — |
| 298 | C22×C4 | — | 104 | 1 | no | — |
| 299 | Q16 | — | 4 | 2 | no | — |
| 300 | Q16 | — | 52 | 2 | no | — |
| 301 | Q16 | — | 52 | 2 | no | — |
| 302 | Q16 | — | 52 | 2 | no | — |
| 303 | SD16 | — | 4 | 2 | no | — |
| 304 | SD16 | — | 52 | 2 | no | — |
| 305 | SD16 | — | 52 | 2 | no | — |
| 306 | SD16 | — | 52 | 2 | no | — |
| 307 | C2×C8 | — | 2 | 1 | no | — |
| 308 | C2×C8 | — | 26 | 2 | no | — |
| 309 | C2×C8 | — | 26 | 2 | no | — |
| 310 | C2×C8 | — | 26 | 1 | no | — |
| 311 | C2×C8 | — | 26 | 4 | no | — |
| 312 | C2×C8 | — | 52 | 2 | no | — |
| 313 | C2×C8 | — | 52 | 2 | no | — |
| 314 | C4⋊C4 | — | 2 | 2 | no | — |
| 315 | C4⋊C4 | — | 26 | 2 | no | — |
| 316 | C4⋊C4 | — | 52 | 2 | no | — |
| 317 | C4⋊C4 | — | 52 | 2 | no | — |
| 318 | C4⋊C4 | — | 52 | 2 | no | — |
| 319 | C4⋊C4 | — | 104 | 1 | no | — |
| 320 | C22⋊C4 | — | 2 | 2 | no | — |
| 321 | C22⋊C4 | — | 26 | 2 | no | — |
| 322 | C22⋊C4 | — | 26 | 2 | no | — |
| 323 | C22⋊C4 | — | 26 | 2 | no | — |
| 324 | C22⋊C4 | — | 104 | 1 | no | — |
| 325 | C22⋊C4 | — | 104 | 2 | no | — |
| 326 | C42 | — | 13 | 2 | no | — |
| 327 | C42 | — | 13 | 1 | no | — |
| 328 | C42 | — | 104 | 1 | no | — |
| 329 | C42 | C22×#261 | 1 | 1 | yes | characteristic |
| 330 | C13 | #9003 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 331 | C23 | — | 2 | 1 | no | — |
| 332 | C23 | — | 13 | 1 | no | — |
| 333 | C23 | — | 26 | 1 | no | — |
| 334 | C23 | — | 52 | 2 | no | — |
| 335 | C23 | — | 52 | 1 | no | — |
| 336 | C23 | — | 52 | 1 | no | — |
| 337 | C23 | — | 52 | 2 | no | — |
| 338 | Q8 | — | 4 | 1 | no | — |
| 339 | Q8 | — | 4 | 1 | no | — |
| 340 | Q8 | — | 4 | 1 | no | — |
| 341 | Q8 | — | 52 | 1 | no | — |
| 342 | Q8 | — | 52 | 1 | no | — |
| 343 | Q8 | — | 52 | 1 | no | — |
| 344 | Q8 | — | 104 | 1 | no | — |
| 345 | Q8 | — | 104 | 1 | no | — |
| 346 | Q8 | — | 104 | 1 | no | — |
| 347 | D4 | — | 4 | 1 | no | — |
| 348 | D4 | — | 52 | 1 | no | — |
| 349 | D4 | — | 104 | 1 | no | — |
| 350 | C2×C4 | — | 2 | 1 | no | — |
| 351 | C2×C4 | — | 4 | 1 | no | — |
| 352 | C2×C4 | — | 13 | 2 | no | — |
| 353 | C2×C4 | — | 13 | 1 | no | — |
| 354 | C2×C4 | — | 26 | 2 | no | — |
| 355 | C2×C4 | — | 26 | 2 | no | — |
| 356 | C2×C4 | — | 26 | 1 | no | — |
| 357 | C2×C4 | — | 26 | 1 | no | — |
| 358 | C2×C4 | — | 26 | 1 | no | — |
| 359 | C2×C4 | — | 52 | 1 | no | — |
| 360 | C2×C4 | — | 52 | 1 | no | — |
| 361 | C2×C4 | — | 52 | 2 | no | — |
| 362 | C2×C4 | — | 52 | 2 | no | — |
| 363 | C2×C4 | — | 52 | 2 | no | — |
| 364 | C2×C4 | — | 52 | 2 | no | — |
| 365 | C2×C4 | — | 52 | 2 | no | — |
| 366 | C2×C4 | — | 52 | 2 | no | — |
| 367 | C2×C4 | — | 52 | 1 | no | — |
| 368 | C2×C4 | — | 104 | 1 | no | — |
| 369 | C2×C4 | — | 104 | 1 | no | — |
| 370 | C2×C4 | — | 104 | 4 | no | — |
| 371 | C2×C4 | D4×#261 | 1 | 2 | yes | — |
| 372 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 373 | C8 | — | 2 | 2 | no | — |
| 374 | C8 | — | 26 | 2 | no | — |
| 375 | C8 | — | 52 | 4 | no | — |
| 376 | C22 | — | 4 | 2 | no | — |
| 377 | C22 | — | 4 | 1 | no | — |
| 378 | C22 | — | 13 | 2 | no | — |
| 379 | C22 | — | 13 | 2 | no | — |
| 380 | C22 | — | 13 | 1 | no | — |
| 381 | C22 | — | 13 | 1 | no | — |
| 382 | C22 | — | 52 | 2 | no | — |
| 383 | C22 | — | 52 | 1 | no | — |
| 384 | C22 | — | 104 | 1 | no | — |
| 385 | C22 | — | 104 | 2 | no | — |
| 386 | C22 | — | 104 | 1 | no | — |
| 387 | C22 | #11719150 | 1 | 1 | yes | characteristic |
| 388 | C4 | — | 2 | 2 | no | — |
| 389 | C4 | — | 2 | 1 | no | — |
| 390 | C4 | — | 4 | 1 | no | — |
| 391 | C4 | — | 8 | 1 | no | — |
| 392 | C4 | — | 26 | 2 | no | — |
| 393 | C4 | — | 26 | 1 | no | — |
| 394 | C4 | — | 52 | 1 | no | — |
| 395 | C4 | — | 104 | 2 | no | — |
| 396 | C4 | — | 104 | 2 | no | — |
| 397 | C4 | — | 104 | 1 | no | — |
| 398 | C2 | — | 8 | 1 | no | — |
| 399 | C2 | — | 13 | 1 | no | — |
| 400 | C2 | — | 13 | 2 | no | — |
| 401 | C2 | — | 13 | 1 | no | — |
| 402 | C2 | — | 104 | 1 | no | — |
| 403 | C2 | #13130835 | 1 | 2 | yes | — |
| 404 | C2 | #13130843 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13131020 | C2 | semidirect |
| 4. #13129713 | C2 | semidirect |
| 16. C13×#497 | C4 | semidirect |
| 19. #11718747 | C4 | semidirect |
| 20. #11718721 | C4 | semidirect |
| 21. #11718376 | C4 | semidirect |
| 40. C13×C4⋊Q8 | C2×C4 | semidirect |
| 62. #88123 | C2×C4 | semidirect |
| 68. C13×#97 | C2×C4 | semidirect |
| 70. #88043 | C2×C4 | semidirect |
| 188. #497 | #261 | semidirect |
| 243. C4⋊Q8 | C2×#261 | semidirect |
| 262. #97 | C2×#261 | semidirect |
| 330. C13 | #9003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131379 | 2 |
| #13131020 | 2 |
| D13⋊#329 | 2 |
| #13129713 | 2 |
| D13×#497 | 2 |
| #9003 | 13 |