Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
410 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 57 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 | #13125726 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13116765 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13115943 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13112855 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13112854 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13112761 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C13×#2187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×C13×D8 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#88186 | — | 2 | 1 | no | — |
| 10 | #11719333 | — | 2 | 1 | no | — |
| 11 | C2×C13×SD32 | — | 2 | 1 | no | — |
| 12 | C13×#467 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#88073 | — | 2 | 1 | no | — |
| 14 | #11718847 | — | 2 | 1 | no | — |
| 15 | C2×#88067 | — | 2 | 1 | no | — |
| 16 | #11718777 | C22 | 1 | 1 | yes | characteristic |
| 17 | #11718771 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11718713 | — | 2 | 1 | no | — |
| 19 | #11718549 | — | 2 | 1 | no | — |
| 20 | #11718475 | — | 2 | 1 | no | — |
| 21 | #11718469 | — | 2 | 1 | no | — |
| 22 | C13×#357 | — | 2 | 1 | no | — |
| 23 | C13×C22⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 24 | #11718154 | — | 2 | 1 | no | — |
| 25 | #11718144 | C22 | 1 | 1 | yes | characteristic |
| 26 | C22⋊#6090 | C22 | 1 | 1 | yes | characteristic |
| 27 | C22×D4×C13 | — | 2 | 1 | no | — |
| 28 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 29 | C2×#6127 | D4 | 1 | 1 | yes | characteristic |
| 30 | C2×C13×Q16 | D4 | 1 | 1 | yes | characteristic |
| 31 | C2×C13×D8 | — | 2 | 1 | no | — |
| 32 | C2×C13×D8 | — | 2 | 1 | no | — |
| 33 | C2×C13×D8 | — | 4 | 2 | no | — |
| 34 | C22×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 35 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 36 | #88200 | — | 2 | 1 | no | — |
| 37 | C2×#6107 | — | 2 | 1 | no | — |
| 38 | C2×#6105 | — | 4 | 1 | no | — |
| 39 | #88186 | — | 4 | 2 | no | — |
| 40 | #88186 | — | 4 | 2 | no | — |
| 41 | C2×#6104 | — | 4 | 1 | no | — |
| 42 | #88178 | — | 2 | 1 | no | — |
| 43 | C2×#6099 | — | 2 | 1 | no | — |
| 44 | C2×#6099 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×Dic52 | D4 | 1 | 1 | yes | characteristic |
| 46 | #88151 | — | 2 | 1 | no | — |
| 47 | #88148 | — | 4 | 1 | no | — |
| 48 | #88146 | — | 2 | 1 | no | — |
| 49 | #88142 | — | 4 | 1 | no | — |
| 50 | #88139 | — | 4 | 1 | no | — |
| 51 | #88137 | — | 4 | 1 | no | — |
| 52 | C13×SD32 | — | 4 | 2 | no | — |
| 53 | C2×C13×C16 | — | 2 | 1 | no | — |
| 54 | C13×#107 | D4 | 1 | 1 | yes | characteristic |
| 55 | C13×#103 | — | 2 | 1 | no | — |
| 56 | #88075 | — | 2 | 1 | no | — |
| 57 | #88073 | — | 4 | 2 | no | — |
| 58 | #88067 | — | 4 | 2 | no | — |
| 59 | #88060 | — | 2 | 1 | no | — |
| 60 | #88060 | — | 2 | 1 | no | — |
| 61 | #88058 | D4 | 1 | 1 | yes | characteristic |
| 62 | #88056 | — | 2 | 1 | no | — |
| 63 | C2×#6090 | — | 2 | 1 | no | — |
| 64 | #88050 | — | 2 | 1 | no | — |
| 65 | #88048 | — | 2 | 1 | no | — |
| 66 | #12109 | — | 13 | 1 | no | maximal, Sylow |
| 67 | C24×C13 | — | 4 | 1 | no | — |
| 68 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 69 | C2×D4×C13 | — | 2 | 2 | no | — |
| 70 | C2×D4×C13 | — | 4 | 1 | no | — |
| 71 | C2×D4×C13 | — | 4 | 1 | no | — |
| 72 | C2×D4×C13 | — | 4 | 1 | no | — |
| 73 | C2×D4×C13 | — | 4 | 1 | no | — |
| 74 | C2×D4×C13 | — | 4 | 1 | no | — |
| 75 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 76 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 77 | Q8×D13 | — | 8 | 1 | no | — |
| 78 | Q8×D13 | — | 8 | 1 | no | — |
| 79 | #6127 | — | 4 | 1 | no | — |
| 80 | #6127 | — | 4 | 1 | no | — |
| 81 | C2×D52 | D8 | 1 | 1 | yes | characteristic |
| 82 | C2×C4×D13 | — | 2 | 1 | no | — |
| 83 | C2×C4×D13 | — | 4 | 1 | no | — |
| 84 | C2×Dic26 | — | 2 | 1 | no | — |
| 85 | C2×Dic26 | — | 4 | 1 | no | — |
| 86 | C2×Dic26 | D8 | 1 | 1 | yes | characteristic |
| 87 | C13×Q16 | — | 4 | 1 | no | — |
| 88 | C13×D8 | — | 2 | 2 | no | — |
| 89 | C13×D8 | — | 2 | 2 | no | — |
| 90 | C13×D8 | — | 4 | 1 | no | — |
| 91 | C13×D8 | — | 4 | 1 | no | — |
| 92 | C2×C8×C13 | — | 4 | 1 | no | — |
| 93 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 96 | C13×C4⋊C4 | — | 4 | 1 | no | — |
| 97 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 98 | C22⋊Dic13 | — | 4 | 1 | no | — |
| 99 | #6107 | — | 8 | 1 | no | — |
| 100 | #6105 | — | 4 | 4 | no | — |
| 101 | #6104 | — | 4 | 4 | no | — |
| 102 | #6103 | — | 4 | 1 | no | — |
| 103 | #6103 | — | 4 | 1 | no | — |
| 104 | #6103 | — | 4 | 1 | no | — |
| 105 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 106 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 107 | #6101 | — | 4 | 1 | no | — |
| 108 | #6101 | — | 4 | 1 | no | — |
| 109 | C4×Dic13 | — | 4 | 1 | no | — |
| 110 | #6099 | — | 2 | 2 | no | — |
| 111 | #6099 | — | 4 | 1 | no | — |
| 112 | #6099 | — | 4 | 1 | no | — |
| 113 | C2×#1055 | — | 2 | 1 | no | — |
| 114 | C2×#1055 | — | 4 | 1 | no | — |
| 115 | Dic52 | — | 4 | 1 | no | — |
| 116 | C13×C16 | — | 4 | 1 | no | — |
| 117 | #6090 | — | 4 | 1 | no | — |
| 118 | #3202 | — | 13 | 1 | no | — |
| 119 | #2187 | — | 13 | 1 | no | — |
| 120 | #2187 | D13 | 1 | 1 | yes | characteristic, complemented |
| 121 | #2018 | — | 13 | 1 | no | — |
| 122 | #1350 | — | 13 | 1 | no | — |
| 123 | #1350 | — | 13 | 1 | no | — |
| 124 | #1315 | — | 13 | 1 | no | — |
| 125 | C23×C13 | — | 4 | 2 | no | — |
| 126 | C23×C13 | — | 8 | 1 | no | — |
| 127 | C23×C13 | — | 8 | 1 | no | — |
| 128 | C23×C13 | — | 16 | 1 | no | — |
| 129 | C23×C13 | — | 16 | 1 | no | — |
| 130 | C23×C13 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 131 | C22×D13 | — | 2 | 1 | no | — |
| 132 | Q8×C13 | — | 4 | 1 | no | — |
| 133 | Q8×C13 | — | 4 | 1 | no | — |
| 134 | D4×C13 | — | 4 | 2 | no | — |
| 135 | D4×C13 | — | 4 | 2 | no | — |
| 136 | D4×C13 | — | 8 | 1 | no | — |
| 137 | D4×C13 | — | 8 | 1 | no | — |
| 138 | C2×C4×C13 | — | 2 | 1 | no | — |
| 139 | C2×C4×C13 | — | 2 | 1 | no | — |
| 140 | C2×C4×C13 | — | 4 | 1 | no | — |
| 141 | C2×C4×C13 | — | 4 | 1 | no | — |
| 142 | C2×C4×C13 | #120 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C13 | C2×D8 | 1 | 1 | yes | characteristic |
| 144 | C22⋊D13 | — | 8 | 1 | no | — |
| 145 | C2×Dic13 | — | 2 | 1 | no | — |
| 146 | C2×Dic13 | — | 4 | 1 | no | — |
| 147 | C2×Dic13 | — | 4 | 1 | no | — |
| 148 | D52 | — | 4 | 1 | no | — |
| 149 | C4×D13 | — | 4 | 1 | no | — |
| 150 | C4×D13 | — | 4 | 1 | no | — |
| 151 | C4×D13 | — | 8 | 2 | no | — |
| 152 | Dic26 | — | 4 | 1 | no | — |
| 153 | Dic26 | — | 4 | 1 | no | — |
| 154 | Dic26 | — | 4 | 1 | no | — |
| 155 | Dic26 | — | 8 | 2 | no | — |
| 156 | C8×C13 | — | 2 | 1 | no | — |
| 157 | C8×C13 | — | 2 | 1 | no | — |
| 158 | #1055 | — | 4 | 2 | no | — |
| 159 | #1055 | — | 4 | 1 | no | — |
| 160 | C2×AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 161 | C22×D8 | C2×D13 | 1 | 1 | yes | characteristic |
| 162 | #536 | — | 26 | 1 | no | — |
| 163 | C2×SD32 | — | 2 | 1 | no | — |
| 164 | C2×SD32 | — | 26 | 1 | no | — |
| 165 | #485 | — | 26 | 1 | no | — |
| 166 | #485 | — | 26 | 1 | no | — |
| 167 | #470 | — | 26 | 1 | no | — |
| 168 | #467 | — | 13 | 1 | no | — |
| 169 | #467 | C2×D13 | 1 | 1 | yes | characteristic |
| 170 | #451 | — | 26 | 1 | no | — |
| 171 | #451 | — | 26 | 1 | no | — |
| 172 | C2×#100 | — | 26 | 1 | no | — |
| 173 | #408 | — | 13 | 1 | no | — |
| 174 | #357 | — | 2 | 1 | no | — |
| 175 | #357 | — | 26 | 1 | no | — |
| 176 | C22⋊C16 | — | 13 | 1 | no | — |
| 177 | C22⋊C16 | C2×D13 | 1 | 1 | yes | characteristic |
| 178 | #341 | — | 13 | 1 | no | — |
| 179 | C22×C13 | — | 2 | 1 | no | — |
| 180 | C22×C13 | — | 2 | 1 | no | — |
| 181 | C22×C13 | — | 2 | 1 | no | — |
| 182 | C22×C13 | — | 8 | 2 | no | — |
| 183 | C22×C13 | — | 16 | 2 | no | — |
| 184 | C22×C13 | — | 16 | 2 | no | — |
| 185 | C22×C13 | — | 16 | 1 | no | — |
| 186 | C22×C13 | — | 16 | 1 | no | — |
| 187 | C22×C13 | #447 | 1 | 1 | yes | characteristic |
| 188 | C2×D13 | — | 4 | 1 | no | — |
| 189 | C2×D13 | — | 4 | 1 | no | — |
| 190 | C2×D13 | — | 4 | 1 | no | — |
| 191 | C4×C13 | — | 2 | 1 | no | — |
| 192 | C4×C13 | — | 8 | 1 | no | — |
| 193 | C4×C13 | — | 8 | 1 | no | — |
| 194 | C4×C13 | #453 | 1 | 1 | yes | characteristic |
| 195 | C4×C13 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 196 | Dic13 | — | 4 | 1 | no | — |
| 197 | Dic13 | — | 8 | 1 | no | — |
| 198 | Dic13 | — | 8 | 1 | no | — |
| 199 | C2×#41 | — | 13 | 1 | no | — |
| 200 | C22×Q8 | — | 26 | 1 | no | — |
| 201 | C22×D4 | — | 2 | 1 | no | — |
| 202 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 203 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 204 | C2×Q16 | — | 13 | 1 | no | — |
| 205 | C2×Q16 | — | 26 | 1 | no | — |
| 206 | C2×Q16 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 207 | C2×SD16 | — | 52 | 1 | no | — |
| 208 | C2×D8 | — | 2 | 1 | no | — |
| 209 | C2×D8 | — | 2 | 1 | no | — |
| 210 | C2×D8 | — | 4 | 2 | no | — |
| 211 | C2×D8 | — | 52 | 1 | no | — |
| 212 | C2×M16 | — | 13 | 1 | no | — |
| 213 | C2×M16 | — | 26 | 1 | no | — |
| 214 | C22×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 215 | C4⋊Q8 | — | 52 | 1 | no | — |
| 216 | #124 | — | 52 | 1 | no | — |
| 217 | #123 | — | 52 | 1 | no | — |
| 218 | #123 | — | 52 | 1 | no | — |
| 219 | C22⋊Q8 | — | 2 | 1 | no | — |
| 220 | C22⋊Q8 | — | 26 | 1 | no | — |
| 221 | C22⋊Q8 | — | 26 | 1 | no | — |
| 222 | C22⋊Q8 | — | 26 | 1 | no | — |
| 223 | #117 | — | 26 | 1 | no | — |
| 224 | SD32 | — | 4 | 2 | no | — |
| 225 | SD32 | — | 52 | 2 | no | — |
| 226 | C2×C16 | — | 2 | 1 | no | — |
| 227 | C2×C16 | — | 26 | 1 | no | — |
| 228 | #107 | — | 13 | 1 | no | — |
| 229 | #107 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 230 | #106 | — | 26 | 1 | no | — |
| 231 | #103 | — | 2 | 1 | no | — |
| 232 | #103 | — | 26 | 1 | no | — |
| 233 | #103 | — | 26 | 1 | no | — |
| 234 | #103 | — | 26 | 1 | no | — |
| 235 | #100 | — | 52 | 2 | no | — |
| 236 | C22⋊C8 | — | 26 | 1 | no | — |
| 237 | C22⋊C8 | — | 26 | 1 | no | — |
| 238 | C2×C13 | — | 4 | 1 | no | — |
| 239 | C2×C13 | — | 16 | 2 | no | — |
| 240 | C2×C13 | #1595 | 1 | 1 | yes | characteristic |
| 241 | C2×C13 | #2193 | 1 | 1 | yes | characteristic |
| 242 | C2×C13 | #2193 | 1 | 1 | yes | characteristic |
| 243 | D13 | — | 8 | 1 | no | — |
| 244 | C24 | — | 4 | 1 | no | — |
| 245 | #41 | — | 52 | 1 | no | — |
| 246 | #41 | — | 52 | 1 | no | — |
| 247 | C2×Q8 | — | 2 | 1 | no | — |
| 248 | C2×Q8 | — | 13 | 1 | no | — |
| 249 | C2×Q8 | — | 26 | 1 | no | — |
| 250 | C2×Q8 | — | 52 | 1 | no | — |
| 251 | C2×Q8 | — | 104 | 1 | no | — |
| 252 | C2×Q8 | — | 104 | 1 | no | — |
| 253 | C2×D4 | — | 2 | 2 | no | — |
| 254 | C2×D4 | — | 4 | 1 | no | — |
| 255 | C2×D4 | — | 4 | 1 | no | — |
| 256 | C2×D4 | — | 4 | 1 | no | — |
| 257 | C2×D4 | — | 4 | 1 | no | — |
| 258 | C2×D4 | — | 4 | 1 | no | — |
| 259 | C2×D4 | — | 13 | 1 | no | — |
| 260 | C2×D4 | — | 26 | 1 | no | — |
| 261 | C22×C4 | — | 26 | 1 | no | — |
| 262 | C22×C4 | — | 52 | 1 | no | — |
| 263 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 264 | Q16 | — | 4 | 1 | no | — |
| 265 | Q16 | — | 52 | 1 | no | — |
| 266 | Q16 | — | 104 | 1 | no | — |
| 267 | SD16 | — | 52 | 4 | no | — |
| 268 | D8 | — | 2 | 2 | no | — |
| 269 | D8 | — | 2 | 2 | no | — |
| 270 | D8 | — | 4 | 1 | no | — |
| 271 | D8 | — | 4 | 1 | no | — |
| 272 | D8 | — | 52 | 4 | no | — |
| 273 | M16 | — | 26 | 2 | no | — |
| 274 | M16 | — | 52 | 1 | no | — |
| 275 | M16 | — | 52 | 1 | no | — |
| 276 | C2×C8 | — | 4 | 1 | no | — |
| 277 | C2×C8 | — | 26 | 1 | no | — |
| 278 | C2×C8 | — | 52 | 1 | no | — |
| 279 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 280 | C2×C8 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 281 | C4⋊C4 | — | 2 | 1 | no | — |
| 282 | C4⋊C4 | — | 4 | 1 | no | — |
| 283 | C4⋊C4 | — | 26 | 1 | no | — |
| 284 | C4⋊C4 | — | 52 | 1 | no | — |
| 285 | C4⋊C4 | — | 52 | 1 | no | — |
| 286 | C4⋊C4 | — | 52 | 1 | no | — |
| 287 | C22⋊C4 | — | 4 | 1 | no | — |
| 288 | C22⋊C4 | — | 52 | 1 | no | — |
| 289 | C22⋊C4 | — | 52 | 1 | no | — |
| 290 | C22⋊C4 | — | 52 | 1 | no | — |
| 291 | C22⋊C4 | — | 52 | 1 | no | — |
| 292 | C42 | — | 52 | 1 | no | — |
| 293 | C16 | — | 4 | 1 | no | — |
| 294 | C16 | — | 52 | 1 | no | — |
| 295 | C13 | #12109 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 296 | C23 | — | 4 | 2 | no | — |
| 297 | C23 | — | 8 | 1 | no | — |
| 298 | C23 | — | 8 | 1 | no | — |
| 299 | C23 | — | 16 | 1 | no | — |
| 300 | C23 | — | 16 | 1 | no | — |
| 301 | C23 | — | 26 | 1 | no | — |
| 302 | C23 | #88165 | 1 | 1 | yes | characteristic |
| 303 | Q8 | — | 4 | 1 | no | — |
| 304 | Q8 | — | 4 | 1 | no | — |
| 305 | Q8 | — | 52 | 1 | no | — |
| 306 | Q8 | — | 52 | 1 | no | — |
| 307 | Q8 | — | 52 | 1 | no | — |
| 308 | Q8 | — | 104 | 2 | no | — |
| 309 | D4 | — | 4 | 2 | no | — |
| 310 | D4 | — | 4 | 2 | no | — |
| 311 | D4 | — | 8 | 1 | no | — |
| 312 | D4 | — | 8 | 1 | no | — |
| 313 | D4 | — | 52 | 1 | no | — |
| 314 | D4 | — | 104 | 1 | no | — |
| 315 | C2×C4 | — | 2 | 1 | no | — |
| 316 | C2×C4 | — | 2 | 1 | no | — |
| 317 | C2×C4 | — | 4 | 1 | no | — |
| 318 | C2×C4 | — | 4 | 1 | no | — |
| 319 | C2×C4 | — | 26 | 1 | no | — |
| 320 | C2×C4 | — | 52 | 1 | no | — |
| 321 | C2×C4 | — | 52 | 1 | no | — |
| 322 | C2×C4 | — | 52 | 1 | no | — |
| 323 | C2×C4 | — | 52 | 1 | no | — |
| 324 | C2×C4 | — | 104 | 2 | no | — |
| 325 | C2×C4 | D8×D13 | 1 | 1 | yes | characteristic |
| 326 | C2×C4 | #88191 | 1 | 1 | yes | characteristic |
| 327 | C8 | — | 2 | 1 | no | — |
| 328 | C8 | — | 2 | 1 | no | — |
| 329 | C8 | — | 52 | 2 | no | — |
| 330 | C8 | — | 52 | 1 | no | — |
| 331 | C22 | — | 2 | 1 | no | — |
| 332 | C22 | — | 2 | 1 | no | — |
| 333 | C22 | — | 2 | 1 | no | — |
| 334 | C22 | — | 8 | 2 | no | — |
| 335 | C22 | — | 16 | 2 | no | — |
| 336 | C22 | — | 16 | 2 | no | — |
| 337 | C22 | — | 16 | 1 | no | — |
| 338 | C22 | — | 16 | 1 | no | — |
| 339 | C22 | — | 52 | 1 | no | — |
| 340 | C22 | — | 52 | 1 | no | — |
| 341 | C22 | — | 52 | 1 | no | — |
| 342 | C22 | #11718817 | 1 | 1 | yes | characteristic |
| 343 | C4 | — | 2 | 1 | no | — |
| 344 | C4 | — | 8 | 1 | no | — |
| 345 | C4 | — | 8 | 1 | no | — |
| 346 | C4 | — | 52 | 1 | no | — |
| 347 | C4 | — | 104 | 1 | no | — |
| 348 | C4 | — | 104 | 1 | no | — |
| 349 | C4 | #11718693 | 1 | 1 | yes | characteristic |
| 350 | C4 | #11718859 | 1 | 1 | yes | characteristic |
| 351 | C2 | — | 4 | 1 | no | — |
| 352 | C2 | — | 16 | 2 | no | — |
| 353 | C2 | — | 104 | 1 | no | — |
| 354 | C2 | #13113752 | 1 | 1 | yes | characteristic |
| 355 | C2 | #13116797 | 1 | 1 | yes | characteristic |
| 356 | C2 | #13116799 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13125726 | C2 | semidirect |
| 2. #13116765 | C2 | semidirect |
| 4. #13112855 | C2 | semidirect |
| 5. #13112854 | C2 | semidirect |
| 6. #13112761 | C2 | semidirect |
| 7. C13×#2187 | C2 | semidirect |
| 120. #2187 | D13 | semidirect |
| 295. C13 | #12109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125726 | 2 |
| #13116765 | 2 |
| #13115943 | 2 |
| #13112855 | 2 |
| #13112854 | 2 |
| #13112761 | 2 |
| C13×#2187 | 2 |
| #12109 | 13 |