Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
936 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 108 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 | D13⋊#360 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #13131144 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | D13⋊#349 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13130714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | D13×#575 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×#41×D13 | — | 2 | 1 | no | — |
| 7 | C13×#575 | C4 | 1 | 1 | yes | characteristic, complemented |
| 8 | #11719527 | — | 2 | 1 | no | — |
| 9 | #11719482 | — | 2 | 2 | no | — |
| 10 | D13×#137 | — | 2 | 2 | no | — |
| 11 | #11719478 | — | 2 | 2 | no | — |
| 12 | D13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 13 | #11719473 | — | 2 | 1 | no | — |
| 14 | #11719473 | C4 | 1 | 2 | yes | complemented |
| 15 | D13×#135 | — | 2 | 1 | no | — |
| 16 | D13×#135 | C22 | 1 | 2 | yes | — |
| 17 | #11719453 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×M16×D13 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11719136 | — | 2 | 1 | no | — |
| 20 | C2×#88102 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#88101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | D13⋊M32 | C22 | 1 | 2 | yes | complemented |
| 23 | #11718284 | — | 2 | 1 | no | — |
| 24 | #11718280 | — | 2 | 2 | no | — |
| 25 | #11718279 | — | 2 | 2 | no | — |
| 26 | #11718276 | — | 2 | 2 | no | — |
| 27 | #11718275 | — | 2 | 2 | no | — |
| 28 | #11718265 | — | 2 | 1 | no | — |
| 29 | #11718263 | — | 2 | 1 | no | — |
| 30 | C2×C13×#41 | — | 2 | 1 | no | — |
| 31 | #41×D13 | — | 2 | 2 | no | — |
| 32 | #41×D13 | — | 2 | 2 | no | — |
| 33 | #41×D13 | — | 2 | 2 | no | — |
| 34 | #41×D13 | — | 2 | 2 | no | — |
| 35 | #41×D13 | — | 4 | 1 | no | — |
| 36 | #41×D13 | — | 4 | 1 | no | — |
| 37 | #41×D13 | — | 4 | 1 | no | — |
| 38 | #41×D13 | — | 4 | 1 | no | — |
| 39 | C2×#6131 | — | 2 | 1 | no | — |
| 40 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 41 | C2×#6129 | — | 2 | 1 | no | — |
| 42 | C2×#6129 | — | 4 | 1 | no | — |
| 43 | C2×D4×D13 | — | 2 | 1 | no | — |
| 44 | C2×D4×D13 | — | 4 | 1 | no | — |
| 45 | C2×#6127 | — | 2 | 1 | no | — |
| 46 | C2×#6127 | — | 4 | 1 | no | — |
| 47 | C22×C4×D13 | — | 4 | 1 | no | — |
| 48 | C22×C4×D13 | D4 | 1 | 1 | yes | characteristic |
| 49 | C2×C22⋊#261 | — | 4 | 1 | no | — |
| 50 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 51 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 52 | C13×#137 | — | 2 | 2 | no | — |
| 53 | C13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 54 | C13×#135 | — | 2 | 1 | no | — |
| 55 | C13×#135 | C2×C4 | 1 | 2 | yes | — |
| 56 | C2×C13×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | #88205 | — | 2 | 2 | no | — |
| 58 | #88204 | — | 2 | 2 | no | — |
| 59 | #88204 | — | 2 | 2 | no | — |
| 60 | #88203 | — | 2 | 2 | no | — |
| 61 | #88196 | — | 2 | 2 | no | — |
| 62 | #88186 | — | 2 | 2 | no | — |
| 63 | C2×#6099 | D4 | 1 | 1 | yes | characteristic |
| 64 | #88173 | — | 2 | 1 | no | — |
| 65 | #88173 | D4 | 1 | 2 | yes | — |
| 66 | #88172 | — | 2 | 2 | no | — |
| 67 | #88172 | — | 2 | 2 | no | — |
| 68 | Q16×D13 | — | 2 | 1 | no | — |
| 69 | Q16×D13 | D4 | 1 | 2 | yes | — |
| 70 | #88170 | — | 2 | 2 | no | — |
| 71 | #88170 | — | 2 | 2 | no | — |
| 72 | #88169 | — | 2 | 2 | no | — |
| 73 | #88169 | — | 2 | 2 | no | — |
| 74 | #88168 | — | 2 | 2 | no | — |
| 75 | #88168 | — | 2 | 2 | no | — |
| 76 | SD16×D13 | — | 2 | 2 | no | — |
| 77 | SD16×D13 | — | 2 | 2 | no | — |
| 78 | #88166 | — | 2 | 1 | no | — |
| 79 | #88166 | D4 | 1 | 2 | yes | — |
| 80 | #88165 | — | 2 | 2 | no | — |
| 81 | #88165 | — | 2 | 2 | no | — |
| 82 | D8×D13 | — | 2 | 1 | no | — |
| 83 | D8×D13 | D4 | 1 | 2 | yes | — |
| 84 | #88163 | — | 2 | 2 | no | — |
| 85 | #88162 | — | 2 | 2 | no | — |
| 86 | M16×D13 | — | 2 | 2 | no | — |
| 87 | M16×D13 | — | 2 | 2 | no | — |
| 88 | #88158 | — | 2 | 1 | no | — |
| 89 | #88158 | C2×C4 | 1 | 2 | yes | — |
| 90 | C2×#6094 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | C2×#6094 | D4 | 1 | 1 | yes | characteristic |
| 92 | C2×C8×D13 | D4 | 1 | 1 | yes | characteristic |
| 93 | C2×C8×D13 | C23 | 1 | 1 | yes | characteristic |
| 94 | (C2×#261)⋊C4 | — | 4 | 1 | no | — |
| 95 | #88106 | — | 2 | 2 | no | — |
| 96 | #88102 | — | 2 | 2 | no | — |
| 97 | #88101 | — | 2 | 2 | no | — |
| 98 | #88098 | — | 2 | 2 | no | — |
| 99 | D13⋊C16 | — | 2 | 2 | no | — |
| 100 | #12739 | — | 13 | 1 | no | maximal, Sylow |
| 101 | C23×D13 | — | 4 | 1 | no | — |
| 102 | C23×D13 | D8 | 1 | 1 | yes | characteristic |
| 103 | C22×#261 | — | 4 | 1 | no | — |
| 104 | C22×#261 | — | 4 | 1 | no | — |
| 105 | C13×#41 | — | 2 | 2 | no | — |
| 106 | C13×#41 | — | 2 | 2 | no | — |
| 107 | C13×#41 | — | 4 | 1 | no | — |
| 108 | C13×#41 | — | 4 | 1 | no | — |
| 109 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 110 | C2×D4×C13 | — | 2 | 1 | no | — |
| 111 | C2×D4×C13 | — | 4 | 1 | no | — |
| 112 | C22×C4×C13 | — | 4 | 1 | no | — |
| 113 | C22×C4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 114 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 115 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 116 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 117 | C22×Dic13 | — | 4 | 1 | no | — |
| 118 | C22×Dic13 | SD16 | 1 | 1 | yes | characteristic |
| 119 | #6131 | — | 2 | 2 | no | — |
| 120 | #6131 | — | 2 | 2 | no | — |
| 121 | #6131 | — | 4 | 1 | no | — |
| 122 | #6131 | — | 4 | 1 | no | — |
| 123 | Q8×D13 | — | 2 | 2 | no | — |
| 124 | Q8×D13 | — | 2 | 2 | no | — |
| 125 | Q8×D13 | — | 4 | 1 | no | — |
| 126 | Q8×D13 | — | 4 | 1 | no | — |
| 127 | #6129 | — | 2 | 2 | no | — |
| 128 | #6129 | — | 2 | 2 | no | — |
| 129 | #6129 | — | 4 | 1 | no | — |
| 130 | #6129 | — | 4 | 1 | no | — |
| 131 | #6129 | — | 4 | 2 | no | — |
| 132 | #6129 | — | 4 | 2 | no | — |
| 133 | #6129 | — | 4 | 2 | no | — |
| 134 | #6129 | — | 4 | 2 | no | — |
| 135 | D4×D13 | — | 2 | 2 | no | — |
| 136 | D4×D13 | — | 2 | 2 | no | — |
| 137 | D4×D13 | — | 4 | 1 | no | — |
| 138 | D4×D13 | — | 4 | 1 | no | — |
| 139 | D4×D13 | — | 4 | 2 | no | — |
| 140 | D4×D13 | — | 4 | 2 | no | — |
| 141 | D4×D13 | — | 4 | 2 | no | — |
| 142 | D4×D13 | — | 4 | 2 | no | — |
| 143 | #6127 | — | 2 | 2 | no | — |
| 144 | #6127 | — | 2 | 2 | no | — |
| 145 | #6127 | — | 4 | 2 | no | — |
| 146 | #6127 | — | 4 | 2 | no | — |
| 147 | #6127 | — | 4 | 2 | no | — |
| 148 | #6127 | — | 4 | 1 | no | — |
| 149 | #6127 | — | 4 | 1 | no | — |
| 150 | #6127 | — | 4 | 2 | no | — |
| 151 | C2×D52 | — | 2 | 1 | no | — |
| 152 | C2×D52 | — | 4 | 1 | no | — |
| 153 | C2×C4×D13 | — | 2 | 1 | no | — |
| 154 | C2×C4×D13 | — | 2 | 1 | no | — |
| 155 | C2×C4×D13 | — | 2 | 1 | no | — |
| 156 | C2×C4×D13 | — | 2 | 1 | no | — |
| 157 | C2×C4×D13 | — | 4 | 2 | no | — |
| 158 | C2×C4×D13 | — | 4 | 2 | no | — |
| 159 | C2×C4×D13 | — | 4 | 2 | no | — |
| 160 | C2×C4×D13 | — | 4 | 1 | no | — |
| 161 | C2×C4×D13 | — | 4 | 1 | no | — |
| 162 | C2×C4×D13 | — | 4 | 1 | no | — |
| 163 | C2×C4×D13 | — | 4 | 2 | no | — |
| 164 | C2×C4×D13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×D13 | D8 | 1 | 1 | yes | characteristic |
| 166 | C2×C4×D13 | SD16 | 1 | 1 | yes | characteristic |
| 167 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×Dic26 | — | 2 | 1 | no | — |
| 169 | C2×Dic26 | — | 4 | 1 | no | — |
| 170 | C22⋊#261 | — | 8 | 2 | no | — |
| 171 | C4⋊#261 | — | 4 | 1 | no | — |
| 172 | C4⋊#261 | — | 4 | 1 | no | — |
| 173 | C4⋊#261 | — | 4 | 1 | no | — |
| 174 | C4⋊#261 | — | 4 | 1 | no | — |
| 175 | C13×Q16 | — | 2 | 1 | no | — |
| 176 | C13×Q16 | C22⋊C4 | 1 | 2 | yes | complemented |
| 177 | C13×SD16 | — | 2 | 2 | no | — |
| 178 | C13×SD16 | — | 2 | 2 | no | — |
| 179 | C13×D8 | — | 2 | 1 | no | — |
| 180 | C13×D8 | C22⋊C4 | 1 | 2 | yes | complemented |
| 181 | C13×M16 | — | 2 | 2 | no | — |
| 182 | C2×C8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 183 | C2×C8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 184 | #6107 | — | 2 | 2 | no | — |
| 185 | #6107 | — | 2 | 2 | no | — |
| 186 | #6106 | — | 2 | 2 | no | — |
| 187 | #6106 | — | 2 | 2 | no | — |
| 188 | #6105 | — | 2 | 2 | no | — |
| 189 | #6105 | — | 2 | 2 | no | — |
| 190 | #6104 | — | 2 | 2 | no | — |
| 191 | #6104 | — | 2 | 2 | no | — |
| 192 | #6099 | — | 2 | 2 | no | — |
| 193 | C2×#1055 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 194 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | Dic52 | — | 2 | 1 | no | — |
| 196 | Dic52 | C22⋊C4 | 1 | 2 | yes | complemented |
| 197 | D104 | — | 2 | 1 | no | — |
| 198 | D104 | C22⋊C4 | 1 | 2 | yes | complemented |
| 199 | #6095 | — | 2 | 2 | no | — |
| 200 | #6095 | — | 2 | 2 | no | — |
| 201 | #6094 | — | 2 | 2 | no | — |
| 202 | #6094 | — | 2 | 2 | no | — |
| 203 | C8×D13 | — | 2 | 1 | no | — |
| 204 | C8×D13 | — | 2 | 1 | no | — |
| 205 | C8×D13 | C2×D4 | 1 | 2 | yes | — |
| 206 | C8×D13 | C2×D4 | 1 | 2 | yes | — |
| 207 | #6092 | — | 4 | 2 | no | — |
| 208 | C2×#575 | — | 13 | 1 | no | — |
| 209 | C2×#360 | — | 13 | 2 | no | — |
| 210 | #2139 | — | 13 | 2 | no | — |
| 211 | C2×#349 | — | 13 | 1 | no | — |
| 212 | #1809 | — | 13 | 1 | no | — |
| 213 | C23×C13 | — | 4 | 1 | no | — |
| 214 | C23×C13 | #102 | 1 | 1 | yes | characteristic |
| 215 | C22×D13 | — | 2 | 1 | no | — |
| 216 | C22×D13 | — | 2 | 1 | no | — |
| 217 | C22×D13 | — | 4 | 1 | no | — |
| 218 | C22×D13 | — | 4 | 1 | no | — |
| 219 | C22×D13 | — | 4 | 2 | no | — |
| 220 | C22×D13 | — | 4 | 1 | no | — |
| 221 | C22×D13 | — | 4 | 2 | no | — |
| 222 | C22×D13 | — | 8 | 2 | no | — |
| 223 | C22×D13 | — | 8 | 2 | no | — |
| 224 | C22×D13 | #102 | 1 | 1 | yes | characteristic |
| 225 | C22×D13 | C2×D8 | 1 | 1 | yes | characteristic |
| 226 | C2×#261 | — | 8 | 1 | no | — |
| 227 | C2×#261 | — | 8 | 1 | no | — |
| 228 | C2×#261 | — | 8 | 1 | no | — |
| 229 | C2×#261 | — | 8 | 1 | no | — |
| 230 | C2×#261 | — | 8 | 1 | no | — |
| 231 | C2×#261 | — | 8 | 1 | no | — |
| 232 | Q8×C13 | — | 2 | 2 | no | — |
| 233 | Q8×C13 | — | 4 | 1 | no | — |
| 234 | D4×C13 | — | 2 | 2 | no | — |
| 235 | D4×C13 | — | 4 | 1 | no | — |
| 236 | D4×C13 | — | 4 | 2 | no | — |
| 237 | D4×C13 | — | 4 | 2 | no | — |
| 238 | C2×C4×C13 | — | 2 | 1 | no | — |
| 239 | C2×C4×C13 | — | 2 | 1 | no | — |
| 240 | C2×C4×C13 | — | 4 | 2 | no | — |
| 241 | C2×C4×C13 | — | 4 | 1 | no | — |
| 242 | C2×C4×C13 | — | 4 | 2 | no | — |
| 243 | C2×C4×C13 | #102 | 1 | 1 | yes | characteristic |
| 244 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 245 | C22⋊D13 | — | 4 | 2 | no | — |
| 246 | C22⋊D13 | — | 4 | 2 | no | — |
| 247 | C22⋊D13 | — | 4 | 2 | no | — |
| 248 | C22⋊D13 | — | 4 | 2 | no | — |
| 249 | C22⋊D13 | — | 4 | 2 | no | — |
| 250 | C22⋊D13 | — | 4 | 2 | no | — |
| 251 | C2×Dic13 | — | 2 | 1 | no | — |
| 252 | C2×Dic13 | — | 2 | 1 | no | — |
| 253 | C2×Dic13 | — | 4 | 2 | no | — |
| 254 | C2×Dic13 | — | 4 | 1 | no | — |
| 255 | C2×Dic13 | — | 4 | 2 | no | — |
| 256 | C2×Dic13 | #102 | 1 | 1 | yes | characteristic |
| 257 | C2×Dic13 | C2×SD16 | 1 | 1 | yes | characteristic |
| 258 | D52 | — | 2 | 2 | no | — |
| 259 | D52 | — | 4 | 1 | no | — |
| 260 | D52 | — | 4 | 2 | no | — |
| 261 | D52 | — | 4 | 2 | no | — |
| 262 | C4×D13 | — | 2 | 1 | no | — |
| 263 | C4×D13 | — | 2 | 1 | no | — |
| 264 | C4×D13 | — | 2 | 1 | no | — |
| 265 | C4×D13 | — | 2 | 1 | no | — |
| 266 | C4×D13 | — | 2 | 1 | no | — |
| 267 | C4×D13 | — | 2 | 1 | no | — |
| 268 | C4×D13 | — | 4 | 2 | no | — |
| 269 | C4×D13 | — | 4 | 2 | no | — |
| 270 | C4×D13 | — | 4 | 2 | no | — |
| 271 | C4×D13 | — | 4 | 2 | no | — |
| 272 | C4×D13 | — | 4 | 2 | no | — |
| 273 | C4×D13 | — | 4 | 2 | no | — |
| 274 | C4×D13 | #120 | 1 | 1 | yes | characteristic |
| 275 | C4×D13 | #120 | 1 | 1 | yes | characteristic |
| 276 | C4×D13 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 277 | C4×D13 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 278 | Dic26 | — | 2 | 2 | no | — |
| 279 | Dic26 | — | 4 | 2 | no | — |
| 280 | Dic26 | — | 4 | 1 | no | — |
| 281 | Dic26 | — | 4 | 2 | no | — |
| 282 | C8×C13 | — | 2 | 1 | no | — |
| 283 | C8×C13 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 284 | #1055 | — | 2 | 1 | no | — |
| 285 | #1055 | #120 | 1 | 2 | yes | — |
| 286 | C22×#41 | — | 26 | 1 | no | — |
| 287 | #575 | — | 13 | 2 | no | — |
| 288 | #575 | — | 13 | 1 | no | — |
| 289 | #575 | — | 26 | 1 | no | — |
| 290 | #575 | — | 26 | 1 | no | — |
| 291 | #575 | — | 26 | 2 | no | — |
| 292 | #575 | — | 26 | 2 | no | — |
| 293 | #575 | #261 | 1 | 1 | yes | characteristic, complemented |
| 294 | C2×#137 | — | 26 | 2 | no | — |
| 295 | C2×AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 296 | C2×#135 | — | 13 | 2 | no | — |
| 297 | C2×#135 | — | 26 | 1 | no | — |
| 298 | C22×M16 | — | 13 | 1 | no | — |
| 299 | C2×M32 | — | 13 | 2 | no | — |
| 300 | C2×#107 | — | 13 | 1 | no | — |
| 301 | C2×#106 | — | 13 | 1 | no | — |
| 302 | #380 | — | 26 | 1 | no | — |
| 303 | #360 | — | 26 | 2 | no | — |
| 304 | #360 | — | 26 | 2 | no | — |
| 305 | #358 | — | 26 | 2 | no | — |
| 306 | #357 | — | 26 | 2 | no | — |
| 307 | #349 | — | 26 | 1 | no | — |
| 308 | #349 | — | 26 | 1 | no | — |
| 309 | #340 | — | 26 | 1 | no | — |
| 310 | C22×C13 | — | 2 | 1 | no | — |
| 311 | C22×C13 | — | 4 | 1 | no | — |
| 312 | C22×C13 | — | 4 | 2 | no | — |
| 313 | C22×C13 | — | 8 | 2 | no | — |
| 314 | C22×C13 | C2×#102 | 1 | 1 | yes | characteristic |
| 315 | C2×D13 | — | 2 | 1 | no | — |
| 316 | C2×D13 | — | 2 | 1 | no | — |
| 317 | C2×D13 | — | 2 | 1 | no | — |
| 318 | C2×D13 | — | 4 | 1 | no | — |
| 319 | C2×D13 | — | 4 | 1 | no | — |
| 320 | C2×D13 | — | 4 | 1 | no | — |
| 321 | C2×D13 | — | 4 | 2 | no | — |
| 322 | C2×D13 | — | 8 | 1 | no | — |
| 323 | C2×D13 | — | 8 | 4 | no | — |
| 324 | C2×D13 | — | 8 | 2 | no | — |
| 325 | C2×D13 | — | 8 | 2 | no | — |
| 326 | C2×D13 | — | 8 | 2 | no | — |
| 327 | C2×D13 | #447 | 1 | 1 | yes | characteristic |
| 328 | C2×D13 | #447 | 1 | 1 | yes | characteristic |
| 329 | #261 | — | 16 | 1 | no | — |
| 330 | #261 | — | 16 | 1 | no | — |
| 331 | C4×C13 | — | 2 | 1 | no | — |
| 332 | C4×C13 | — | 4 | 2 | no | — |
| 333 | C4×C13 | #379 | 1 | 1 | yes | characteristic |
| 334 | C4×C13 | #418 | 1 | 1 | yes | characteristic |
| 335 | Dic13 | — | 2 | 1 | no | — |
| 336 | Dic13 | — | 4 | 2 | no | — |
| 337 | Dic13 | #450 | 1 | 1 | yes | characteristic |
| 338 | Dic13 | #450 | 1 | 1 | yes | characteristic |
| 339 | C2×#41 | — | 2 | 1 | no | — |
| 340 | C2×#41 | — | 26 | 2 | no | — |
| 341 | C2×#41 | — | 26 | 2 | no | — |
| 342 | C2×#41 | — | 26 | 1 | no | — |
| 343 | C2×#41 | — | 26 | 1 | no | — |
| 344 | C2×#41 | — | 26 | 2 | no | — |
| 345 | C2×#41 | — | 26 | 2 | no | — |
| 346 | C2×#41 | — | 26 | 1 | no | — |
| 347 | C2×#41 | — | 52 | 1 | no | — |
| 348 | C2×#41 | — | 52 | 1 | no | — |
| 349 | C2×#41 | — | 52 | 1 | no | — |
| 350 | C2×#41 | — | 52 | 1 | no | — |
| 351 | C2×#41 | — | 52 | 1 | no | — |
| 352 | C2×#41 | — | 52 | 1 | no | — |
| 353 | C22×Q8 | — | 26 | 1 | no | — |
| 354 | C22×D4 | — | 26 | 1 | no | — |
| 355 | C22×D4 | — | 52 | 1 | no | — |
| 356 | C23×C4 | — | 13 | 1 | no | — |
| 357 | C23×C4 | — | 52 | 1 | no | — |
| 358 | #137 | — | 2 | 2 | no | — |
| 359 | #137 | — | 26 | 2 | no | — |
| 360 | #137 | — | 26 | 2 | no | — |
| 361 | #137 | — | 26 | 2 | no | — |
| 362 | #137 | — | 26 | 2 | no | — |
| 363 | #137 | — | 26 | 2 | no | — |
| 364 | #137 | — | 26 | 2 | no | — |
| 365 | #137 | — | 26 | 2 | no | — |
| 366 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 367 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 368 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 369 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 370 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 371 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 372 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 373 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 374 | #135 | — | 2 | 1 | no | — |
| 375 | #135 | — | 13 | 2 | no | — |
| 376 | #135 | — | 13 | 2 | no | — |
| 377 | #135 | — | 13 | 2 | no | — |
| 378 | #135 | — | 26 | 2 | no | — |
| 379 | #135 | — | 26 | 2 | no | — |
| 380 | #135 | — | 26 | 2 | no | — |
| 381 | #135 | — | 26 | 1 | no | — |
| 382 | #135 | — | 26 | 2 | no | — |
| 383 | #135 | — | 26 | 1 | no | — |
| 384 | #135 | — | 26 | 1 | no | — |
| 385 | #135 | C2×#261 | 1 | 2 | yes | — |
| 386 | C2×Q16 | — | 13 | 2 | no | — |
| 387 | C2×Q16 | — | 26 | 1 | no | — |
| 388 | C2×SD16 | — | 26 | 2 | no | — |
| 389 | C2×SD16 | — | 26 | 2 | no | — |
| 390 | C2×D8 | — | 13 | 2 | no | — |
| 391 | C2×D8 | — | 26 | 1 | no | — |
| 392 | C2×M16 | — | 13 | 1 | no | — |
| 393 | C2×M16 | — | 13 | 1 | no | — |
| 394 | C2×M16 | — | 13 | 1 | no | — |
| 395 | C2×M16 | — | 26 | 2 | no | — |
| 396 | C2×M16 | — | 26 | 2 | no | — |
| 397 | C2×M16 | C2×#261 | 1 | 1 | yes | characteristic |
| 398 | C22×C8 | — | 13 | 1 | no | — |
| 399 | C22×C8 | — | 13 | 1 | no | — |
| 400 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 401 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 402 | C2×C22⋊C4 | — | 52 | 1 | no | — |
| 403 | M32 | — | 26 | 2 | no | — |
| 404 | M32 | — | 26 | 2 | no | — |
| 405 | C2×C16 | — | 26 | 2 | no | — |
| 406 | #107 | — | 26 | 2 | no | — |
| 407 | #106 | — | 26 | 2 | no | — |
| 408 | #95 | — | 52 | 1 | no | — |
| 409 | C2×C13 | — | 2 | 1 | no | — |
| 410 | C2×C13 | — | 4 | 1 | no | — |
| 411 | C2×C13 | — | 8 | 2 | no | — |
| 412 | C2×C13 | #1786 | 1 | 1 | yes | characteristic |
| 413 | D13 | — | 2 | 1 | no | — |
| 414 | D13 | — | 4 | 1 | no | — |
| 415 | D13 | — | 8 | 2 | no | — |
| 416 | D13 | #2190 | 1 | 1 | yes | characteristic |
| 417 | D13 | #2191 | 1 | 1 | yes | characteristic |
| 418 | C24 | — | 13 | 1 | no | — |
| 419 | C24 | — | 52 | 1 | no | — |
| 420 | #41 | — | 2 | 2 | no | — |
| 421 | #41 | — | 2 | 2 | no | — |
| 422 | #41 | — | 4 | 1 | no | — |
| 423 | #41 | — | 4 | 1 | no | — |
| 424 | #41 | — | 26 | 2 | no | — |
| 425 | #41 | — | 26 | 2 | no | — |
| 426 | #41 | — | 26 | 2 | no | — |
| 427 | #41 | — | 26 | 2 | no | — |
| 428 | #41 | — | 26 | 2 | no | — |
| 429 | #41 | — | 26 | 2 | no | — |
| 430 | #41 | — | 52 | 1 | no | — |
| 431 | #41 | — | 52 | 2 | no | — |
| 432 | #41 | — | 52 | 2 | no | — |
| 433 | #41 | — | 52 | 2 | no | — |
| 434 | #41 | — | 52 | 2 | no | — |
| 435 | #41 | — | 52 | 2 | no | — |
| 436 | #41 | — | 52 | 2 | no | — |
| 437 | #41 | — | 52 | 1 | no | — |
| 438 | #41 | — | 52 | 1 | no | — |
| 439 | #41 | — | 52 | 2 | no | — |
| 440 | #41 | — | 52 | 2 | no | — |
| 441 | #41 | — | 52 | 1 | no | — |
| 442 | #41 | — | 52 | 1 | no | — |
| 443 | #41 | — | 52 | 1 | no | — |
| 444 | C2×Q8 | — | 2 | 1 | no | — |
| 445 | C2×Q8 | — | 26 | 1 | no | — |
| 446 | C2×Q8 | — | 26 | 2 | no | — |
| 447 | C2×Q8 | — | 26 | 2 | no | — |
| 448 | C2×Q8 | — | 52 | 1 | no | — |
| 449 | C2×Q8 | — | 52 | 1 | no | — |
| 450 | C2×Q8 | — | 52 | 1 | no | — |
| 451 | C2×D4 | — | 2 | 1 | no | — |
| 452 | C2×D4 | — | 4 | 1 | no | — |
| 453 | C2×D4 | — | 26 | 1 | no | — |
| 454 | C2×D4 | — | 26 | 2 | no | — |
| 455 | C2×D4 | — | 26 | 2 | no | — |
| 456 | C2×D4 | — | 52 | 1 | no | — |
| 457 | C2×D4 | — | 52 | 1 | no | — |
| 458 | C2×D4 | — | 52 | 1 | no | — |
| 459 | C2×D4 | — | 52 | 1 | no | — |
| 460 | C2×D4 | — | 52 | 2 | no | — |
| 461 | C2×D4 | — | 52 | 2 | no | — |
| 462 | C2×D4 | — | 52 | 2 | no | — |
| 463 | C2×D4 | — | 52 | 2 | no | — |
| 464 | C2×D4 | — | 52 | 1 | no | — |
| 465 | C2×D4 | — | 52 | 1 | no | — |
| 466 | C22×C4 | — | 4 | 1 | no | — |
| 467 | C22×C4 | — | 13 | 1 | no | — |
| 468 | C22×C4 | — | 13 | 1 | no | — |
| 469 | C22×C4 | — | 13 | 1 | no | — |
| 470 | C22×C4 | — | 13 | 1 | no | — |
| 471 | C22×C4 | — | 13 | 1 | no | — |
| 472 | C22×C4 | — | 26 | 1 | no | — |
| 473 | C22×C4 | — | 26 | 1 | no | — |
| 474 | C22×C4 | — | 26 | 1 | no | — |
| 475 | C22×C4 | — | 26 | 1 | no | — |
| 476 | C22×C4 | — | 52 | 1 | no | — |
| 477 | C22×C4 | — | 52 | 2 | no | — |
| 478 | C22×C4 | — | 52 | 2 | no | — |
| 479 | C22×C4 | — | 52 | 2 | no | — |
| 480 | C22×C4 | — | 52 | 1 | no | — |
| 481 | C22×C4 | — | 52 | 2 | no | — |
| 482 | C22×C4 | — | 52 | 1 | no | — |
| 483 | C22×C4 | — | 52 | 1 | no | — |
| 484 | C22×C4 | — | 52 | 1 | no | — |
| 485 | C22×C4 | — | 52 | 1 | no | — |
| 486 | C22×C4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 487 | Q16 | — | 2 | 1 | no | — |
| 488 | Q16 | — | 13 | 2 | no | — |
| 489 | Q16 | — | 26 | 1 | no | — |
| 490 | Q16 | — | 26 | 2 | no | — |
| 491 | Q16 | — | 26 | 2 | no | — |
| 492 | Q16 | C22⋊#261 | 1 | 2 | yes | complemented |
| 493 | SD16 | — | 2 | 2 | no | — |
| 494 | SD16 | — | 2 | 2 | no | — |
| 495 | SD16 | — | 26 | 2 | no | — |
| 496 | SD16 | — | 26 | 2 | no | — |
| 497 | SD16 | — | 26 | 2 | no | — |
| 498 | SD16 | — | 26 | 2 | no | — |
| 499 | SD16 | — | 26 | 2 | no | — |
| 500 | SD16 | — | 26 | 2 | no | — |
| 501 | D8 | — | 2 | 1 | no | — |
| 502 | D8 | — | 13 | 2 | no | — |
| 503 | D8 | — | 26 | 1 | no | — |
| 504 | D8 | — | 26 | 2 | no | — |
| 505 | D8 | — | 26 | 2 | no | — |
| 506 | D8 | C22⋊#261 | 1 | 2 | yes | complemented |
| 507 | M16 | — | 2 | 2 | no | — |
| 508 | M16 | — | 26 | 2 | no | — |
| 509 | M16 | — | 26 | 2 | no | — |
| 510 | M16 | — | 26 | 2 | no | — |
| 511 | C2×C8 | — | 13 | 1 | no | — |
| 512 | C2×C8 | — | 13 | 2 | no | — |
| 513 | C2×C8 | — | 13 | 2 | no | — |
| 514 | C2×C8 | — | 13 | 1 | no | — |
| 515 | C2×C8 | — | 26 | 1 | no | — |
| 516 | C2×C8 | — | 26 | 1 | no | — |
| 517 | C2×C8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 518 | C2×C8 | C22×#261 | 1 | 1 | yes | characteristic |
| 519 | C4⋊C4 | — | 52 | 1 | no | — |
| 520 | C4⋊C4 | — | 52 | 1 | no | — |
| 521 | C4⋊C4 | — | 52 | 1 | no | — |
| 522 | C4⋊C4 | — | 52 | 1 | no | — |
| 523 | C22⋊C4 | — | 104 | 2 | no | — |
| 524 | C16 | — | 52 | 2 | no | — |
| 525 | C13 | #12739 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 526 | C23 | — | 4 | 1 | no | — |
| 527 | C23 | — | 13 | 1 | no | — |
| 528 | C23 | — | 13 | 1 | no | — |
| 529 | C23 | — | 26 | 1 | no | — |
| 530 | C23 | — | 26 | 1 | no | — |
| 531 | C23 | — | 52 | 1 | no | — |
| 532 | C23 | — | 52 | 2 | no | — |
| 533 | C23 | — | 52 | 1 | no | — |
| 534 | C23 | — | 52 | 1 | no | — |
| 535 | C23 | — | 52 | 2 | no | — |
| 536 | C23 | — | 104 | 2 | no | — |
| 537 | C23 | — | 104 | 2 | no | — |
| 538 | C23 | #88115 | 1 | 1 | yes | characteristic |
| 539 | Q8 | — | 2 | 2 | no | — |
| 540 | Q8 | — | 4 | 1 | no | — |
| 541 | Q8 | — | 26 | 2 | no | — |
| 542 | Q8 | — | 52 | 1 | no | — |
| 543 | Q8 | — | 52 | 2 | no | — |
| 544 | Q8 | — | 52 | 2 | no | — |
| 545 | D4 | — | 2 | 2 | no | — |
| 546 | D4 | — | 4 | 1 | no | — |
| 547 | D4 | — | 4 | 2 | no | — |
| 548 | D4 | — | 4 | 2 | no | — |
| 549 | D4 | — | 26 | 2 | no | — |
| 550 | D4 | — | 52 | 1 | no | — |
| 551 | D4 | — | 52 | 2 | no | — |
| 552 | D4 | — | 52 | 2 | no | — |
| 553 | D4 | — | 52 | 2 | no | — |
| 554 | D4 | — | 52 | 2 | no | — |
| 555 | D4 | — | 52 | 2 | no | — |
| 556 | D4 | — | 52 | 2 | no | — |
| 557 | D4 | — | 52 | 2 | no | — |
| 558 | D4 | — | 52 | 2 | no | — |
| 559 | C2×C4 | — | 2 | 1 | no | — |
| 560 | C2×C4 | — | 2 | 1 | no | — |
| 561 | C2×C4 | — | 4 | 2 | no | — |
| 562 | C2×C4 | — | 4 | 1 | no | — |
| 563 | C2×C4 | — | 4 | 2 | no | — |
| 564 | C2×C4 | — | 13 | 1 | no | — |
| 565 | C2×C4 | — | 13 | 1 | no | — |
| 566 | C2×C4 | — | 13 | 1 | no | — |
| 567 | C2×C4 | — | 13 | 1 | no | — |
| 568 | C2×C4 | — | 13 | 1 | no | — |
| 569 | C2×C4 | — | 13 | 1 | no | — |
| 570 | C2×C4 | — | 26 | 1 | no | — |
| 571 | C2×C4 | — | 26 | 1 | no | — |
| 572 | C2×C4 | — | 26 | 1 | no | — |
| 573 | C2×C4 | — | 26 | 1 | no | — |
| 574 | C2×C4 | — | 26 | 1 | no | — |
| 575 | C2×C4 | — | 26 | 1 | no | — |
| 576 | C2×C4 | — | 26 | 1 | no | — |
| 577 | C2×C4 | — | 26 | 1 | no | — |
| 578 | C2×C4 | — | 52 | 2 | no | — |
| 579 | C2×C4 | — | 52 | 2 | no | — |
| 580 | C2×C4 | — | 52 | 2 | no | — |
| 581 | C2×C4 | — | 52 | 2 | no | — |
| 582 | C2×C4 | — | 52 | 2 | no | — |
| 583 | C2×C4 | — | 52 | 2 | no | — |
| 584 | C2×C4 | — | 52 | 2 | no | — |
| 585 | C2×C4 | — | 52 | 1 | no | — |
| 586 | C2×C4 | — | 52 | 2 | no | — |
| 587 | C2×C4 | — | 104 | 1 | no | — |
| 588 | C2×C4 | — | 104 | 1 | no | — |
| 589 | C2×C4 | — | 104 | 1 | no | — |
| 590 | C2×C4 | — | 104 | 1 | no | — |
| 591 | C2×C4 | — | 104 | 1 | no | — |
| 592 | C2×C4 | — | 104 | 1 | no | — |
| 593 | C2×C4 | #88115 | 1 | 1 | yes | characteristic |
| 594 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 595 | C8 | — | 2 | 1 | no | — |
| 596 | C8 | — | 13 | 2 | no | — |
| 597 | C8 | — | 26 | 1 | no | — |
| 598 | C8 | C2×C22⋊#261 | 1 | 2 | yes | — |
| 599 | C22 | — | 2 | 1 | no | — |
| 600 | C22 | — | 4 | 1 | no | — |
| 601 | C22 | — | 4 | 2 | no | — |
| 602 | C22 | — | 8 | 2 | no | — |
| 603 | C22 | — | 13 | 1 | no | — |
| 604 | C22 | — | 13 | 1 | no | — |
| 605 | C22 | — | 26 | 1 | no | — |
| 606 | C22 | — | 26 | 1 | no | — |
| 607 | C22 | — | 26 | 1 | no | — |
| 608 | C22 | — | 52 | 1 | no | — |
| 609 | C22 | — | 52 | 1 | no | — |
| 610 | C22 | — | 52 | 1 | no | — |
| 611 | C22 | — | 52 | 2 | no | — |
| 612 | C22 | — | 104 | 1 | no | — |
| 613 | C22 | — | 104 | 2 | no | — |
| 614 | C22 | — | 104 | 2 | no | — |
| 615 | C22 | — | 104 | 2 | no | — |
| 616 | C22 | — | 104 | 4 | no | — |
| 617 | C22 | C2×#88115 | 1 | 1 | yes | characteristic |
| 618 | C4 | — | 2 | 1 | no | — |
| 619 | C4 | — | 4 | 2 | no | — |
| 620 | C4 | — | 13 | 1 | no | — |
| 621 | C4 | — | 13 | 1 | no | — |
| 622 | C4 | — | 26 | 1 | no | — |
| 623 | C4 | — | 52 | 2 | no | — |
| 624 | C4 | — | 208 | 1 | no | — |
| 625 | C4 | — | 208 | 1 | no | — |
| 626 | C4 | #11719138 | 1 | 1 | yes | characteristic |
| 627 | C4 | #11719171 | 1 | 1 | yes | characteristic |
| 628 | C2 | — | 2 | 1 | no | — |
| 629 | C2 | — | 4 | 1 | no | — |
| 630 | C2 | — | 8 | 2 | no | — |
| 631 | C2 | — | 13 | 1 | no | — |
| 632 | C2 | — | 13 | 1 | no | — |
| 633 | C2 | — | 26 | 1 | no | — |
| 634 | C2 | — | 52 | 1 | no | — |
| 635 | C2 | — | 104 | 2 | no | — |
| 636 | C2 | #13130674 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D13⋊#360 | C2 | semidirect |
| 2. #13131144 | C2 | semidirect |
| 3. D13⋊#349 | C2 | semidirect |
| 4. #13130714 | C2 | semidirect |
| 7. C13×#575 | C4 | semidirect |
| 14. #11719473 | C4 | semidirect |
| 17. #11719453 | C4 | semidirect |
| 20. C2×#88102 | C22 | semidirect |
| 21. C2×#88101 | C22 | semidirect |
| 22. D13⋊M32 | C22 | semidirect |
| 176. C13×Q16 | C22⋊C4 | semidirect |
| 180. C13×D8 | C22⋊C4 | semidirect |
| 196. Dic52 | C22⋊C4 | semidirect |
| 198. D104 | C22⋊C4 | semidirect |
| 293. #575 | #261 | semidirect |
| 492. Q16 | C22⋊#261 | semidirect |
| 506. D8 | C22⋊#261 | semidirect |
| 525. C13 | #12739 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#360 | 2 |
| #13131144 | 2 |
| D13⋊#349 | 2 |
| #13130714 | 2 |
| D13×#575 | 2 |
| #12739 | 13 |