Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1128 conjugacy classes of subgroups.
The subgroup lattice has 424 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13131804 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13131490 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13131157 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #13131156 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | D13⋊#360 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | C2×#11718275 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #13129604 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #11719650 | — | 2 | 1 | no | — |
| 9 | #11719631 | — | 2 | 1 | no | — |
| 10 | C13×#576 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #11719541 | — | 2 | 1 | no | — |
| 12 | #11719480 | — | 2 | 3 | no | — |
| 13 | #11719478 | — | 2 | 3 | no | — |
| 14 | #11719476 | C4 | 1 | 3 | yes | complemented |
| 15 | D13×#135 | C22 | 1 | 3 | yes | — |
| 16 | #11719462 | C4 | 1 | 3 | yes | complemented |
| 17 | C2×#88166 | C22 | 1 | 3 | yes | — |
| 18 | #11719458 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | D13×#131 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11719162 | — | 2 | 1 | no | — |
| 21 | #11719098 | — | 2 | 3 | no | — |
| 22 | #11719096 | — | 2 | 3 | no | — |
| 23 | #11719092 | C22 | 1 | 3 | yes | complemented |
| 24 | C2×#88101 | C22 | 1 | 3 | yes | complemented |
| 25 | D13⋊M32 | C22 | 1 | 3 | yes | complemented |
| 26 | C2×#88098 | C22 | 1 | 3 | yes | complemented |
| 27 | #11718279 | C22 | 1 | 3 | yes | complemented |
| 28 | #11718279 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #11718275 | C22 | 1 | 3 | yes | complemented |
| 30 | #11718275 | C22 | 1 | 6 | yes | complemented |
| 31 | #11718275 | C22 | 1 | 3 | yes | complemented |
| 32 | C13×H(5,𝔽2) | — | 2 | 1 | no | — |
| 33 | #88257 | — | 2 | 1 | no | — |
| 34 | #88257 | — | 2 | 3 | no | — |
| 35 | #88257 | — | 4 | 1 | no | — |
| 36 | #41×D13 | — | 2 | 3 | no | — |
| 37 | #41×D13 | — | 4 | 1 | no | — |
| 38 | #41×D13 | D4 | 1 | 1 | yes | characteristic |
| 39 | #88251 | — | 2 | 3 | no | — |
| 40 | #88251 | — | 4 | 3 | no | — |
| 41 | C2×#6129 | — | 2 | 3 | no | — |
| 42 | C2×#6129 | — | 4 | 3 | no | — |
| 43 | Q8×#261 | — | 4 | 1 | no | — |
| 44 | D4×#261 | — | 4 | 3 | no | — |
| 45 | #88237 | — | 2 | 3 | no | — |
| 46 | C2×C4⋊#261 | — | 2 | 3 | no | — |
| 47 | C13×AGL(1,ℤ/8) | — | 2 | 3 | no | — |
| 48 | C13×#135 | C2×C4 | 1 | 3 | yes | complemented |
| 49 | C2×C13×D8 | C2×C4 | 1 | 3 | yes | complemented |
| 50 | C13×#131 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | #88205 | — | 2 | 3 | no | — |
| 52 | #88204 | — | 2 | 3 | no | — |
| 53 | #88202 | D4 | 1 | 1 | yes | characteristic |
| 54 | C2×#6105 | — | 2 | 3 | no | — |
| 55 | #88186 | — | 2 | 3 | no | — |
| 56 | #88173 | C23 | 1 | 1 | yes | characteristic |
| 57 | Q16×D13 | C2×C4 | 1 | 3 | yes | complemented |
| 58 | #88170 | — | 2 | 3 | no | — |
| 59 | #88169 | — | 2 | 6 | no | — |
| 60 | SD16×D13 | — | 2 | 3 | no | — |
| 61 | #88166 | — | 2 | 3 | no | — |
| 62 | #88166 | — | 2 | 3 | no | — |
| 63 | #88166 | C2×C4 | 1 | 6 | yes | complemented |
| 64 | #88166 | C23 | 1 | 3 | yes | — |
| 65 | #88165 | — | 2 | 6 | no | — |
| 66 | D8×D13 | C2×C4 | 1 | 3 | yes | complemented |
| 67 | #88163 | — | 2 | 3 | no | — |
| 68 | #88161 | D4 | 1 | 3 | yes | — |
| 69 | M16×D13 | D4 | 1 | 3 | yes | — |
| 70 | C2×Dic52 | C2×C4 | 1 | 3 | yes | complemented |
| 71 | #88158 | C2×C4 | 1 | 3 | yes | complemented |
| 72 | #88155 | C2×C4 | 1 | 3 | yes | — |
| 73 | C2×C8×D13 | C23 | 1 | 3 | yes | — |
| 74 | #88106 | — | 2 | 3 | no | — |
| 75 | C2×#6092 | — | 2 | 3 | no | — |
| 76 | #88102 | — | 2 | 3 | no | — |
| 77 | #88101 | — | 2 | 3 | no | — |
| 78 | #88101 | C23 | 1 | 3 | yes | — |
| 79 | #88101 | C23 | 1 | 1 | yes | characteristic |
| 80 | #88098 | — | 2 | 3 | no | — |
| 81 | #88098 | C23 | 1 | 1 | yes | characteristic |
| 82 | #88098 | C23 | 1 | 3 | yes | — |
| 83 | D13⋊C16 | — | 2 | 3 | no | — |
| 84 | #33388 | — | 13 | 1 | no | maximal, Sylow |
| 85 | C22×#261 | — | 4 | 3 | no | — |
| 86 | C13×#41 | — | 2 | 3 | no | — |
| 87 | C13×#41 | — | 4 | 1 | no | — |
| 88 | C13×#41 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 89 | C2×D4×C13 | — | 2 | 3 | no | — |
| 90 | C2×D4×C13 | — | 4 | 3 | no | — |
| 91 | C2×C22⋊D13 | — | 4 | 3 | no | — |
| 92 | C2×C22⋊D13 | — | 4 | 6 | no | — |
| 93 | C22×Dic13 | — | 4 | 3 | no | — |
| 94 | #6131 | — | 2 | 1 | no | — |
| 95 | #6131 | SD16 | 1 | 1 | yes | characteristic |
| 96 | Q8×D13 | — | 2 | 3 | no | — |
| 97 | Q8×D13 | — | 4 | 1 | no | — |
| 98 | Q8×D13 | D8 | 1 | 1 | yes | characteristic |
| 99 | #6129 | — | 2 | 6 | no | — |
| 100 | #6129 | — | 2 | 3 | no | — |
| 101 | #6129 | — | 4 | 3 | no | — |
| 102 | #6129 | — | 4 | 6 | no | — |
| 103 | #6129 | — | 4 | 3 | no | — |
| 104 | #6129 | — | 4 | 3 | no | — |
| 105 | #6129 | — | 4 | 3 | no | — |
| 106 | #6129 | — | 4 | 3 | no | — |
| 107 | #6129 | SD16 | 1 | 3 | yes | — |
| 108 | D4×D13 | — | 2 | 3 | no | — |
| 109 | D4×D13 | — | 4 | 3 | no | — |
| 110 | D4×D13 | — | 4 | 3 | no | — |
| 111 | D4×D13 | D8 | 1 | 3 | yes | — |
| 112 | #6127 | — | 2 | 3 | no | — |
| 113 | #6127 | — | 4 | 3 | no | — |
| 114 | #6127 | — | 4 | 3 | no | — |
| 115 | #6127 | C22⋊C4 | 1 | 3 | yes | — |
| 116 | C2×C4×D13 | — | 4 | 3 | no | — |
| 117 | C2×C4×D13 | C2×D4 | 1 | 3 | yes | — |
| 118 | C2×Dic26 | — | 2 | 3 | no | — |
| 119 | C2×Dic26 | — | 4 | 3 | no | — |
| 120 | C22⋊#261 | — | 4 | 3 | no | — |
| 121 | C4⋊#261 | — | 2 | 3 | no | — |
| 122 | C4⋊#261 | — | 2 | 1 | no | — |
| 123 | C4⋊#261 | — | 4 | 3 | no | — |
| 124 | C4×#261 | — | 4 | 3 | no | — |
| 125 | C13×Q16 | C22×C4 | 1 | 1 | yes | characteristic |
| 126 | C13×SD16 | — | 2 | 3 | no | — |
| 127 | C13×D8 | — | 2 | 3 | no | — |
| 128 | C13×D8 | C22×C4 | 1 | 3 | yes | — |
| 129 | C13×M16 | C22⋊C4 | 1 | 3 | yes | — |
| 130 | C2×C8×C13 | C22×C4 | 1 | 3 | yes | — |
| 131 | #6107 | — | 2 | 3 | no | — |
| 132 | #6106 | — | 2 | 1 | no | — |
| 133 | #6105 | — | 2 | 6 | no | — |
| 134 | #6105 | — | 2 | 3 | no | — |
| 135 | #6104 | — | 2 | 3 | no | — |
| 136 | #6099 | C22⋊C4 | 1 | 3 | yes | — |
| 137 | C2×#1055 | C2×D4 | 1 | 3 | yes | — |
| 138 | Dic52 | — | 2 | 3 | no | — |
| 139 | Dic52 | C22×C4 | 1 | 3 | yes | — |
| 140 | D104 | C22×C4 | 1 | 1 | yes | characteristic |
| 141 | #6095 | — | 2 | 3 | no | — |
| 142 | #6094 | C22⋊C4 | 1 | 6 | yes | — |
| 143 | C8×D13 | C22×C4 | 1 | 3 | yes | — |
| 144 | C8×D13 | C2×D4 | 1 | 3 | yes | — |
| 145 | C8×D13 | C2×D4 | 1 | 3 | yes | — |
| 146 | C8×D13 | C24 | 1 | 1 | yes | characteristic |
| 147 | #6092 | — | 2 | 3 | no | — |
| 148 | #6092 | — | 2 | 1 | no | — |
| 149 | #3584 | — | 13 | 1 | no | — |
| 150 | #3407 | — | 13 | 1 | no | — |
| 151 | #2912 | — | 13 | 1 | no | — |
| 152 | #2145 | — | 13 | 3 | no | — |
| 153 | #2145 | — | 13 | 3 | no | — |
| 154 | C2×#360 | — | 13 | 3 | no | — |
| 155 | C2×#360 | — | 13 | 3 | no | — |
| 156 | C23×C13 | — | 4 | 3 | no | — |
| 157 | C22×D13 | — | 4 | 3 | no | — |
| 158 | C22×D13 | C2×D8 | 1 | 3 | yes | — |
| 159 | C2×#261 | — | 4 | 1 | no | — |
| 160 | C2×#261 | — | 4 | 3 | no | — |
| 161 | C2×#261 | — | 16 | 3 | no | — |
| 162 | Q8×C13 | — | 2 | 1 | no | — |
| 163 | Q8×C13 | #102 | 1 | 1 | yes | characteristic |
| 164 | D4×C13 | — | 2 | 3 | no | — |
| 165 | D4×C13 | — | 4 | 3 | no | — |
| 166 | D4×C13 | — | 4 | 3 | no | — |
| 167 | D4×C13 | #102 | 1 | 3 | yes | — |
| 168 | C2×C4×C13 | — | 4 | 3 | no | — |
| 169 | C2×C4×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 170 | C22⋊D13 | — | 4 | 3 | no | — |
| 171 | C22⋊D13 | — | 4 | 3 | no | — |
| 172 | C22⋊D13 | — | 4 | 6 | no | — |
| 173 | C22⋊D13 | — | 4 | 3 | no | — |
| 174 | C22⋊D13 | #102 | 1 | 6 | yes | — |
| 175 | C2×Dic13 | — | 4 | 3 | no | — |
| 176 | C2×Dic13 | — | 4 | 3 | no | — |
| 177 | C2×Dic13 | — | 4 | 6 | no | — |
| 178 | C2×Dic13 | C2×SD16 | 1 | 3 | yes | — |
| 179 | D52 | — | 2 | 1 | no | — |
| 180 | D52 | — | 4 | 1 | no | — |
| 181 | D52 | #102 | 1 | 3 | yes | — |
| 182 | C4×D13 | — | 4 | 3 | no | — |
| 183 | C4×D13 | — | 4 | 3 | no | — |
| 184 | C4×D13 | — | 4 | 1 | no | — |
| 185 | C4×D13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 186 | C4×D13 | C2×D8 | 1 | 3 | yes | — |
| 187 | C4×D13 | C2×SD16 | 1 | 3 | yes | — |
| 188 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 189 | Dic26 | — | 2 | 3 | no | — |
| 190 | Dic26 | — | 4 | 3 | no | — |
| 191 | Dic26 | — | 4 | 3 | no | — |
| 192 | Dic26 | #102 | 1 | 3 | yes | — |
| 193 | C8×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 194 | C8×C13 | C23×C4 | 1 | 1 | yes | characteristic |
| 195 | #1055 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 196 | #1055 | C22×D4 | 1 | 1 | yes | characteristic |
| 197 | #585 | — | 26 | 1 | no | — |
| 198 | #578 | — | 13 | 3 | no | — |
| 199 | #578 | — | 13 | 1 | no | — |
| 200 | #577 | — | 26 | 3 | no | — |
| 201 | #577 | — | 26 | 1 | no | — |
| 202 | #576 | — | 13 | 3 | no | — |
| 203 | #576 | #261 | 1 | 1 | yes | characteristic, complemented |
| 204 | #575 | — | 26 | 3 | no | — |
| 205 | C2×#135 | — | 13 | 3 | no | — |
| 206 | C2×#135 | — | 13 | 3 | no | — |
| 207 | C2×#131 | — | 13 | 1 | no | — |
| 208 | #520 | — | 26 | 1 | no | — |
| 209 | #504 | — | 26 | 3 | no | — |
| 210 | #504 | — | 26 | 1 | no | — |
| 211 | C2×M32 | — | 13 | 3 | no | — |
| 212 | C2×M32 | — | 13 | 3 | no | — |
| 213 | #428 | — | 26 | 3 | no | — |
| 214 | #427 | — | 13 | 3 | no | — |
| 215 | C2×#106 | — | 13 | 3 | no | — |
| 216 | #360 | — | 13 | 3 | no | — |
| 217 | #360 | — | 13 | 6 | no | — |
| 218 | #360 | — | 13 | 3 | no | — |
| 219 | #360 | — | 13 | 3 | no | — |
| 220 | #360 | — | 13 | 1 | no | — |
| 221 | C22×C13 | — | 4 | 3 | no | — |
| 222 | C22×C13 | — | 16 | 3 | no | — |
| 223 | C22×C13 | C2×#102 | 1 | 3 | yes | — |
| 224 | C2×D13 | — | 4 | 3 | no | — |
| 225 | C2×D13 | — | 4 | 1 | no | — |
| 226 | C2×D13 | — | 16 | 3 | no | — |
| 227 | C2×D13 | C2×#102 | 1 | 3 | yes | — |
| 228 | C2×D13 | C22×D8 | 1 | 1 | yes | characteristic |
| 229 | #261 | — | 8 | 1 | no | — |
| 230 | #261 | — | 8 | 3 | no | — |
| 231 | C4×C13 | — | 4 | 1 | no | — |
| 232 | C4×C13 | C2×#102 | 1 | 3 | yes | — |
| 233 | C4×C13 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 234 | Dic13 | — | 4 | 3 | no | — |
| 235 | Dic13 | C2×#102 | 1 | 3 | yes | — |
| 236 | Dic13 | C22×SD16 | 1 | 1 | yes | characteristic |
| 237 | 2−1+4 | — | 26 | 3 | no | — |
| 238 | 2−1+4 | — | 26 | 1 | no | — |
| 239 | 2−1+4 | — | 52 | 1 | no | — |
| 240 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 241 | H(5,𝔽2) | — | 26 | 3 | no | — |
| 242 | H(5,𝔽2) | — | 52 | 3 | no | — |
| 243 | C2×#41 | — | 13 | 1 | no | — |
| 244 | C2×#41 | — | 26 | 3 | no | — |
| 245 | C2×#41 | — | 26 | 3 | no | — |
| 246 | C2×#41 | — | 52 | 3 | no | — |
| 247 | C2×#41 | — | 52 | 1 | no | — |
| 248 | #137 | — | 26 | 6 | no | — |
| 249 | #137 | — | 26 | 3 | no | — |
| 250 | #137 | — | 26 | 3 | no | — |
| 251 | AGL(1,ℤ/8) | — | 2 | 3 | no | — |
| 252 | AGL(1,ℤ/8) | — | 26 | 6 | no | — |
| 253 | AGL(1,ℤ/8) | — | 26 | 3 | no | — |
| 254 | #135 | — | 13 | 1 | no | — |
| 255 | #135 | — | 13 | 3 | no | — |
| 256 | #135 | — | 13 | 6 | no | — |
| 257 | #135 | — | 13 | 3 | no | — |
| 258 | #135 | — | 26 | 3 | no | — |
| 259 | #135 | — | 26 | 3 | no | — |
| 260 | #135 | — | 26 | 3 | no | — |
| 261 | #135 | — | 26 | 3 | no | — |
| 262 | #135 | C2×#261 | 1 | 3 | yes | complemented |
| 263 | C2×Q16 | — | 13 | 3 | no | — |
| 264 | C2×Q16 | — | 13 | 3 | no | — |
| 265 | C2×SD16 | — | 26 | 3 | no | — |
| 266 | C2×SD16 | — | 26 | 3 | no | — |
| 267 | C2×D8 | — | 13 | 3 | no | — |
| 268 | C2×D8 | C2×#261 | 1 | 3 | yes | complemented |
| 269 | #131 | — | 13 | 1 | no | — |
| 270 | #131 | — | 13 | 3 | no | — |
| 271 | #131 | — | 13 | 3 | no | — |
| 272 | #131 | C2×#261 | 1 | 1 | yes | characteristic |
| 273 | C2×M16 | — | 13 | 3 | no | — |
| 274 | C22×C8 | — | 13 | 3 | no | — |
| 275 | C4×Q8 | — | 52 | 1 | no | — |
| 276 | C4×D4 | — | 52 | 3 | no | — |
| 277 | #117 | — | 26 | 3 | no | — |
| 278 | C2×C4⋊C4 | — | 26 | 3 | no | — |
| 279 | M32 | — | 13 | 1 | no | — |
| 280 | M32 | — | 13 | 3 | no | — |
| 281 | M32 | — | 26 | 3 | no | — |
| 282 | M32 | — | 26 | 3 | no | — |
| 283 | C2×C16 | — | 26 | 3 | no | — |
| 284 | C2×C16 | — | 26 | 3 | no | — |
| 285 | #107 | — | 26 | 3 | no | — |
| 286 | #106 | — | 13 | 3 | no | — |
| 287 | #106 | — | 13 | 1 | no | — |
| 288 | #106 | — | 26 | 3 | no | — |
| 289 | C2×C13 | — | 2 | 3 | no | — |
| 290 | C2×C13 | — | 8 | 3 | no | — |
| 291 | C2×C13 | C22×#102 | 1 | 1 | yes | characteristic |
| 292 | D13 | — | 2 | 1 | no | — |
| 293 | D13 | — | 2 | 3 | no | — |
| 294 | D13 | — | 8 | 1 | no | — |
| 295 | #41 | — | 2 | 3 | no | — |
| 296 | #41 | — | 4 | 1 | no | — |
| 297 | #41 | — | 13 | 1 | no | — |
| 298 | #41 | — | 13 | 3 | no | — |
| 299 | #41 | — | 13 | 3 | no | — |
| 300 | #41 | — | 26 | 3 | no | — |
| 301 | #41 | — | 26 | 6 | no | — |
| 302 | #41 | — | 26 | 1 | no | — |
| 303 | #41 | — | 26 | 3 | no | — |
| 304 | #41 | — | 52 | 3 | no | — |
| 305 | #41 | — | 52 | 3 | no | — |
| 306 | #41 | — | 52 | 3 | no | — |
| 307 | #41 | — | 52 | 3 | no | — |
| 308 | #41 | — | 52 | 3 | no | — |
| 309 | #41 | — | 52 | 6 | no | — |
| 310 | #41 | — | 52 | 3 | no | — |
| 311 | #41 | — | 52 | 3 | no | — |
| 312 | #41 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 313 | C2×Q8 | — | 13 | 1 | no | — |
| 314 | C2×Q8 | — | 26 | 3 | no | — |
| 315 | C2×Q8 | — | 26 | 3 | no | — |
| 316 | C2×Q8 | — | 52 | 3 | no | — |
| 317 | C2×Q8 | — | 52 | 1 | no | — |
| 318 | C2×D4 | — | 2 | 3 | no | — |
| 319 | C2×D4 | — | 4 | 3 | no | — |
| 320 | C2×D4 | — | 13 | 3 | no | — |
| 321 | C2×D4 | — | 26 | 3 | no | — |
| 322 | C2×D4 | — | 52 | 3 | no | — |
| 323 | C2×D4 | — | 52 | 3 | no | — |
| 324 | C2×D4 | — | 52 | 6 | no | — |
| 325 | C2×D4 | — | 52 | 3 | no | — |
| 326 | C22×C4 | — | 13 | 3 | no | — |
| 327 | C22×C4 | — | 52 | 3 | no | — |
| 328 | C22×C4 | — | 52 | 3 | no | — |
| 329 | C22×C4 | — | 52 | 3 | no | — |
| 330 | Q16 | — | 13 | 3 | no | — |
| 331 | Q16 | — | 26 | 3 | no | — |
| 332 | Q16 | — | 26 | 3 | no | — |
| 333 | Q16 | C22×#261 | 1 | 1 | yes | characteristic |
| 334 | SD16 | — | 2 | 3 | no | — |
| 335 | SD16 | — | 26 | 3 | no | — |
| 336 | SD16 | — | 26 | 6 | no | — |
| 337 | SD16 | — | 26 | 1 | no | — |
| 338 | SD16 | — | 26 | 3 | no | — |
| 339 | D8 | — | 2 | 3 | no | — |
| 340 | D8 | — | 13 | 1 | no | — |
| 341 | D8 | — | 26 | 3 | no | — |
| 342 | D8 | C22×#261 | 1 | 3 | yes | — |
| 343 | M16 | — | 13 | 3 | no | — |
| 344 | M16 | — | 13 | 6 | no | — |
| 345 | M16 | C22⋊#261 | 1 | 3 | yes | — |
| 346 | C2×C8 | — | 13 | 3 | no | — |
| 347 | C2×C8 | — | 13 | 3 | no | — |
| 348 | C2×C8 | — | 13 | 3 | no | — |
| 349 | C2×C8 | — | 13 | 1 | no | — |
| 350 | C2×C8 | — | 13 | 3 | no | — |
| 351 | C2×C8 | C22×#261 | 1 | 3 | yes | — |
| 352 | C4⋊C4 | — | 26 | 3 | no | — |
| 353 | C4⋊C4 | — | 26 | 1 | no | — |
| 354 | C4⋊C4 | — | 52 | 3 | no | — |
| 355 | C22⋊C4 | — | 52 | 3 | no | — |
| 356 | C42 | — | 52 | 3 | no | — |
| 357 | C16 | — | 26 | 3 | no | — |
| 358 | C16 | — | 26 | 1 | no | — |
| 359 | C13 | #33388 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 360 | C23 | — | 4 | 3 | no | — |
| 361 | C23 | — | 13 | 3 | no | — |
| 362 | C23 | — | 52 | 3 | no | — |
| 363 | Q8 | — | 2 | 1 | no | — |
| 364 | Q8 | — | 13 | 3 | no | — |
| 365 | Q8 | — | 26 | 3 | no | — |
| 366 | Q8 | — | 52 | 3 | no | — |
| 367 | Q8 | — | 52 | 3 | no | — |
| 368 | Q8 | #88115 | 1 | 1 | yes | characteristic |
| 369 | D4 | — | 2 | 3 | no | — |
| 370 | D4 | — | 4 | 3 | no | — |
| 371 | D4 | — | 4 | 3 | no | — |
| 372 | D4 | — | 13 | 6 | no | — |
| 373 | D4 | — | 13 | 3 | no | — |
| 374 | D4 | — | 26 | 1 | no | — |
| 375 | D4 | — | 52 | 1 | no | — |
| 376 | D4 | — | 52 | 3 | no | — |
| 377 | D4 | — | 52 | 3 | no | — |
| 378 | D4 | — | 52 | 6 | no | — |
| 379 | D4 | — | 52 | 3 | no | — |
| 380 | D4 | #88115 | 1 | 3 | yes | — |
| 381 | C2×C4 | — | 4 | 3 | no | — |
| 382 | C2×C4 | — | 13 | 3 | no | — |
| 383 | C2×C4 | — | 13 | 1 | no | — |
| 384 | C2×C4 | — | 13 | 3 | no | — |
| 385 | C2×C4 | — | 13 | 3 | no | — |
| 386 | C2×C4 | — | 13 | 3 | no | — |
| 387 | C2×C4 | — | 52 | 1 | no | — |
| 388 | C2×C4 | — | 52 | 3 | no | — |
| 389 | C2×C4 | — | 52 | 3 | no | — |
| 390 | C2×C4 | — | 52 | 6 | no | — |
| 391 | C2×C4 | — | 52 | 3 | no | — |
| 392 | C2×C4 | — | 52 | 3 | no | — |
| 393 | C2×C4 | — | 52 | 1 | no | — |
| 394 | C2×C4 | — | 52 | 3 | no | — |
| 395 | C2×C4 | — | 208 | 3 | no | — |
| 396 | C2×C4 | C2×C22⋊#261 | 1 | 3 | yes | — |
| 397 | C8 | — | 13 | 1 | no | — |
| 398 | C8 | — | 13 | 3 | no | — |
| 399 | C8 | C2×C22⋊#261 | 1 | 3 | yes | — |
| 400 | C8 | C23×#261 | 1 | 1 | yes | characteristic |
| 401 | C22 | — | 4 | 3 | no | — |
| 402 | C22 | — | 13 | 1 | no | — |
| 403 | C22 | — | 13 | 3 | no | — |
| 404 | C22 | — | 16 | 3 | no | — |
| 405 | C22 | — | 52 | 3 | no | — |
| 406 | C22 | — | 52 | 1 | no | — |
| 407 | C22 | — | 208 | 3 | no | — |
| 408 | C22 | C2×#88115 | 1 | 3 | yes | — |
| 409 | C4 | — | 4 | 1 | no | — |
| 410 | C4 | — | 13 | 1 | no | — |
| 411 | C4 | — | 13 | 3 | no | — |
| 412 | C4 | — | 52 | 3 | no | — |
| 413 | C4 | — | 104 | 1 | no | — |
| 414 | C4 | — | 104 | 3 | no | — |
| 415 | C4 | C2×#88115 | 1 | 3 | yes | — |
| 416 | C4 | C22×C22⋊#261 | 1 | 1 | yes | characteristic |
| 417 | C2 | — | 2 | 3 | no | — |
| 418 | C2 | — | 8 | 3 | no | — |
| 419 | C2 | — | 26 | 1 | no | — |
| 420 | C2 | — | 26 | 3 | no | — |
| 421 | C2 | — | 104 | 1 | no | — |
| 422 | C2 | C22×#88115 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131804 | C2 | semidirect |
| 2. #13131490 | C2 | semidirect |
| 3. #13131157 | C2 | semidirect |
| 4. #13131156 | C2 | semidirect |
| 5. D13⋊#360 | C2 | semidirect |
| 6. C2×#11718275 | C2 | semidirect |
| 10. C13×#576 | C4 | semidirect |
| 14. #11719476 | C4 | semidirect |
| 16. #11719462 | C4 | semidirect |
| 18. #11719458 | C4 | semidirect |
| 23. #11719092 | C22 | semidirect |
| 24. C2×#88101 | C22 | semidirect |
| 25. D13⋊M32 | C22 | semidirect |
| 26. C2×#88098 | C22 | semidirect |
| 27. #11718279 | C22 | semidirect |
| 28. #11718279 | C22 | semidirect |
| 29. #11718275 | C22 | semidirect |
| 30. #11718275 | C22 | semidirect |
| 31. #11718275 | C22 | semidirect |
| 48. C13×#135 | C2×C4 | semidirect |
| 49. C2×C13×D8 | C2×C4 | semidirect |
| 57. Q16×D13 | C2×C4 | semidirect |
| 63. #88166 | C2×C4 | semidirect |
| 66. D8×D13 | C2×C4 | semidirect |
| 70. C2×Dic52 | C2×C4 | semidirect |
| 71. #88158 | C2×C4 | semidirect |
| 203. #576 | #261 | semidirect |
| 262. #135 | C2×#261 | semidirect |
| 268. C2×D8 | C2×#261 | semidirect |
| 359. C13 | #33388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131804 | 2 |
| #13131490 | 2 |
| #13131157 | 2 |
| #13131156 | 2 |
| D13⋊#360 | 2 |
| C2×#11718275 | 2 |
| #13129604 | 2 |
| #33388 | 13 |