Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2598 conjugacy classes of subgroups.
The subgroup lattice has 592 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D13×#578 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #13126641 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13126640 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13126639 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13126638 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #13126637 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | D13×#494 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D13×#473 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | D13×#456 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | D13×#443 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C13×#3293 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D13×2−1+4 | C22 | 1 | 4 | yes | — |
| 13 | C13×#578 | C22 | 1 | 4 | yes | complemented |
| 14 | #11719543 | C22 | 1 | 8 | yes | complemented |
| 15 | #11719484 | — | 2 | 8 | no | — |
| 16 | #11719484 | C22 | 1 | 8 | yes | complemented |
| 17 | D13×#137 | — | 2 | 8 | no | — |
| 18 | D13×#137 | C22 | 1 | 8 | yes | — |
| 19 | #11719476 | — | 2 | 4 | no | — |
| 20 | #11719476 | C22 | 1 | 4 | yes | complemented |
| 21 | D13×#135 | — | 2 | 4 | no | — |
| 22 | D13×#135 | C22 | 1 | 2 | yes | — |
| 23 | #11719471 | — | 2 | 4 | no | — |
| 24 | #11719471 | C22 | 1 | 4 | yes | complemented |
| 25 | C2×Q16×D13 | — | 2 | 4 | no | — |
| 26 | C2×Q16×D13 | C22 | 1 | 4 | yes | — |
| 27 | #11719458 | C22 | 1 | 4 | yes | complemented |
| 28 | D13×#131 | C22 | 1 | 4 | yes | — |
| 29 | D13×C4⋊Q8 | C22 | 1 | 2 | yes | — |
| 30 | C13×#494 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C13×#473 | C22 | 1 | 4 | yes | complemented |
| 32 | C13×#456 | C22 | 1 | 4 | yes | complemented |
| 33 | C13×#443 | C22 | 1 | 2 | yes | complemented |
| 34 | #11718907 | C22 | 1 | 4 | yes | complemented |
| 35 | #11718866 | C22 | 1 | 8 | yes | complemented |
| 36 | #11718865 | C22 | 1 | 8 | yes | complemented |
| 37 | #11718857 | C22 | 1 | 2 | yes | complemented |
| 38 | #11718853 | C22 | 1 | 4 | yes | complemented |
| 39 | #11718842 | C22 | 1 | 4 | yes | complemented |
| 40 | #11718805 | C22 | 1 | 4 | yes | complemented |
| 41 | #11718804 | C22 | 1 | 4 | yes | complemented |
| 42 | #11718756 | C22 | 1 | 4 | yes | complemented |
| 43 | #11718753 | C22 | 1 | 2 | yes | complemented |
| 44 | #11718557 | C22 | 1 | 4 | yes | complemented |
| 45 | #11718556 | C22 | 1 | 2 | yes | complemented |
| 46 | D13×#108 | C22 | 1 | 2 | yes | — |
| 47 | #11718487 | C22 | 1 | 8 | yes | complemented |
| 48 | #11718485 | C22 | 1 | 4 | yes | complemented |
| 49 | D13×#104 | C22 | 1 | 4 | yes | — |
| 50 | #11718416 | C22 | 1 | 8 | yes | complemented |
| 51 | #11718413 | C22 | 1 | 4 | yes | complemented |
| 52 | D13×#101 | C22 | 1 | 4 | yes | — |
| 53 | #11718361 | C22 | 1 | 2 | yes | complemented |
| 54 | #11718360 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C4×C8×D13 | C22 | 1 | 1 | yes | characteristic |
| 56 | C13×2−1+4 | C23 | 1 | 4 | yes | — |
| 57 | #88257 | — | 2 | 8 | no | — |
| 58 | #88257 | — | 4 | 4 | no | — |
| 59 | #88257 | C23 | 1 | 8 | yes | — |
| 60 | #41×D13 | — | 2 | 8 | no | — |
| 61 | #41×D13 | — | 4 | 4 | no | — |
| 62 | #41×D13 | C23 | 1 | 4 | yes | — |
| 63 | #88254 | — | 2 | 8 | no | — |
| 64 | #88254 | C23 | 1 | 4 | yes | — |
| 65 | C2×Q8×D13 | — | 2 | 8 | no | — |
| 66 | C2×Q8×D13 | C23 | 1 | 4 | yes | — |
| 67 | C13×#137 | — | 2 | 8 | no | — |
| 68 | C13×#137 | C23 | 1 | 8 | yes | — |
| 69 | C13×#135 | — | 2 | 4 | no | — |
| 70 | C13×#135 | C23 | 1 | 2 | yes | — |
| 71 | C2×C13×Q16 | — | 2 | 4 | no | — |
| 72 | C2×C13×Q16 | C23 | 1 | 4 | yes | — |
| 73 | C13×#131 | C23 | 1 | 4 | yes | — |
| 74 | C13×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 75 | #88205 | — | 2 | 8 | no | — |
| 76 | #88205 | C23 | 1 | 8 | yes | — |
| 77 | #88204 | — | 2 | 8 | no | — |
| 78 | #88204 | C23 | 1 | 4 | yes | — |
| 79 | #88202 | C23 | 1 | 4 | yes | — |
| 80 | #88198 | C23 | 1 | 4 | yes | — |
| 81 | C2×#6107 | — | 2 | 8 | no | — |
| 82 | C2×#6107 | C23 | 1 | 8 | yes | — |
| 83 | #88196 | — | 2 | 8 | no | — |
| 84 | #88196 | C23 | 1 | 8 | yes | — |
| 85 | #88173 | — | 2 | 4 | no | — |
| 86 | #88173 | D4 | 1 | 2 | yes | — |
| 87 | #88172 | — | 2 | 8 | no | — |
| 88 | #88172 | — | 2 | 8 | no | — |
| 89 | #88172 | — | 2 | 8 | no | — |
| 90 | Q16×D13 | — | 2 | 8 | no | — |
| 91 | Q16×D13 | — | 2 | 4 | no | — |
| 92 | Q16×D13 | — | 2 | 8 | no | — |
| 93 | Q16×D13 | — | 2 | 4 | no | — |
| 94 | Q16×D13 | — | 2 | 4 | no | — |
| 95 | Q16×D13 | — | 2 | 4 | no | — |
| 96 | Q16×D13 | — | 2 | 4 | no | — |
| 97 | Q16×D13 | — | 2 | 4 | no | — |
| 98 | Q16×D13 | D4 | 1 | 2 | yes | — |
| 99 | #88170 | — | 2 | 8 | no | — |
| 100 | #88170 | D4 | 1 | 4 | yes | — |
| 101 | #88169 | — | 2 | 8 | no | — |
| 102 | #88169 | — | 2 | 8 | no | — |
| 103 | #88169 | — | 2 | 8 | no | — |
| 104 | SD16×D13 | — | 2 | 8 | no | — |
| 105 | SD16×D13 | D4 | 1 | 4 | yes | — |
| 106 | #88166 | — | 2 | 4 | no | — |
| 107 | #88166 | D4 | 1 | 2 | yes | — |
| 108 | D8×D13 | D4 | 1 | 2 | yes | — |
| 109 | #88163 | — | 2 | 8 | no | — |
| 110 | #88163 | C23 | 1 | 8 | yes | — |
| 111 | #88161 | — | 2 | 4 | no | — |
| 112 | #88161 | C23 | 1 | 4 | yes | — |
| 113 | M16×D13 | — | 2 | 4 | no | — |
| 114 | M16×D13 | C23 | 1 | 4 | yes | — |
| 115 | C2×Dic52 | — | 2 | 4 | no | — |
| 116 | C2×Dic52 | C23 | 1 | 4 | yes | — |
| 117 | #88158 | — | 2 | 4 | no | — |
| 118 | #88158 | C23 | 1 | 2 | yes | — |
| 119 | #88155 | — | 2 | 4 | no | — |
| 120 | #88155 | C23 | 1 | 4 | yes | — |
| 121 | C2×C8×D13 | — | 2 | 4 | no | — |
| 122 | C2×C8×D13 | C23 | 1 | 2 | yes | — |
| 123 | C4⋊C4×D13 | — | 4 | 2 | no | — |
| 124 | #88142 | — | 4 | 2 | no | — |
| 125 | C42×D13 | C23 | 1 | 1 | yes | characteristic |
| 126 | #88123 | C23 | 1 | 2 | yes | — |
| 127 | C13×#108 | C23 | 1 | 2 | yes | — |
| 128 | C13×#104 | C23 | 1 | 4 | yes | — |
| 129 | C13×#101 | C23 | 1 | 4 | yes | — |
| 130 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 131 | #88077 | C23 | 1 | 4 | yes | — |
| 132 | #88076 | C23 | 1 | 4 | yes | — |
| 133 | #88065 | C23 | 1 | 4 | yes | — |
| 134 | #88064 | C23 | 1 | 8 | yes | — |
| 135 | #88062 | C23 | 1 | 4 | yes | — |
| 136 | #88059 | C23 | 1 | 2 | yes | — |
| 137 | C8×Dic13 | C23 | 1 | 2 | yes | — |
| 138 | #88045 | C23 | 1 | 4 | yes | — |
| 139 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 140 | C2×#3293 | — | 13 | 1 | no | maximal, Sylow |
| 141 | C13×#41 | — | 2 | 8 | no | — |
| 142 | C13×#41 | — | 4 | 4 | no | — |
| 143 | C13×#41 | C24 | 1 | 4 | yes | — |
| 144 | C2×Q8×C13 | — | 2 | 8 | no | — |
| 145 | C2×Q8×C13 | C24 | 1 | 4 | yes | — |
| 146 | #6131 | — | 2 | 8 | no | — |
| 147 | #6131 | — | 4 | 4 | no | — |
| 148 | #6131 | C2×D4 | 1 | 4 | yes | — |
| 149 | Q8×D13 | — | 2 | 8 | no | — |
| 150 | Q8×D13 | — | 2 | 8 | no | — |
| 151 | Q8×D13 | — | 2 | 8 | no | — |
| 152 | Q8×D13 | — | 2 | 8 | no | — |
| 153 | Q8×D13 | — | 4 | 8 | no | — |
| 154 | Q8×D13 | — | 4 | 4 | no | — |
| 155 | Q8×D13 | C2×D4 | 1 | 4 | yes | — |
| 156 | #6129 | — | 2 | 4 | no | — |
| 157 | #6129 | — | 2 | 8 | no | — |
| 158 | #6129 | — | 4 | 8 | no | — |
| 159 | #6129 | — | 4 | 8 | no | — |
| 160 | #6129 | — | 4 | 4 | no | — |
| 161 | #6129 | C2×D4 | 1 | 4 | yes | — |
| 162 | D4×D13 | — | 2 | 4 | no | — |
| 163 | D4×D13 | — | 4 | 4 | no | — |
| 164 | D4×D13 | C2×D4 | 1 | 4 | yes | — |
| 165 | #6127 | — | 2 | 4 | no | — |
| 166 | #6127 | — | 2 | 8 | no | — |
| 167 | #6127 | — | 4 | 8 | no | — |
| 168 | #6127 | — | 4 | 8 | no | — |
| 169 | #6127 | — | 4 | 4 | no | — |
| 170 | #6127 | C24 | 1 | 4 | yes | — |
| 171 | C2×C4×D13 | — | 2 | 1 | no | — |
| 172 | C2×C4×D13 | — | 2 | 4 | no | — |
| 173 | C2×C4×D13 | — | 2 | 4 | no | — |
| 174 | C2×C4×D13 | — | 4 | 8 | no | — |
| 175 | C2×C4×D13 | C24 | 1 | 1 | yes | characteristic |
| 176 | C2×Dic26 | — | 2 | 8 | no | — |
| 177 | C2×Dic26 | — | 2 | 4 | no | — |
| 178 | C2×Dic26 | — | 4 | 8 | no | — |
| 179 | C2×Dic26 | C24 | 1 | 4 | yes | — |
| 180 | C13×Q16 | — | 2 | 8 | no | — |
| 181 | C13×Q16 | — | 2 | 4 | no | — |
| 182 | C13×Q16 | — | 2 | 4 | no | — |
| 183 | C13×Q16 | C2×D4 | 1 | 2 | yes | — |
| 184 | C13×SD16 | — | 2 | 8 | no | — |
| 185 | C13×SD16 | C2×D4 | 1 | 4 | yes | — |
| 186 | C13×D8 | C2×D4 | 1 | 2 | yes | — |
| 187 | C13×M16 | — | 2 | 4 | no | — |
| 188 | C13×M16 | C24 | 1 | 4 | yes | — |
| 189 | C2×C8×C13 | — | 2 | 4 | no | — |
| 190 | C2×C8×C13 | C24 | 1 | 2 | yes | — |
| 191 | C13×C4⋊C4 | — | 4 | 2 | no | — |
| 192 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 193 | #6107 | — | 2 | 8 | no | — |
| 194 | #6107 | — | 2 | 8 | no | — |
| 195 | #6107 | — | 2 | 8 | no | — |
| 196 | #6107 | — | 2 | 8 | no | — |
| 197 | #6107 | C2×D4 | 1 | 4 | yes | — |
| 198 | #6106 | — | 2 | 8 | no | — |
| 199 | #6106 | C2×D4 | 1 | 4 | yes | — |
| 200 | #6105 | — | 2 | 8 | no | — |
| 201 | #6105 | C2×D4 | 1 | 4 | yes | — |
| 202 | #6104 | C2×D4 | 1 | 4 | yes | — |
| 203 | C4⋊Dic13 | — | 4 | 2 | no | — |
| 204 | #6101 | — | 4 | 4 | no | — |
| 205 | C4×Dic13 | — | 2 | 1 | no | — |
| 206 | C4×Dic13 | C24 | 1 | 1 | yes | characteristic |
| 207 | #6099 | — | 2 | 4 | no | — |
| 208 | #6099 | C24 | 1 | 4 | yes | — |
| 209 | C2×#1055 | — | 2 | 4 | no | — |
| 210 | C2×#1055 | C24 | 1 | 2 | yes | — |
| 211 | Dic52 | — | 2 | 8 | no | — |
| 212 | Dic52 | — | 2 | 4 | no | — |
| 213 | Dic52 | — | 2 | 4 | no | — |
| 214 | Dic52 | C2×D4 | 1 | 2 | yes | — |
| 215 | D104 | C2×D4 | 1 | 2 | yes | — |
| 216 | #6095 | — | 2 | 8 | no | — |
| 217 | #6095 | C2×D4 | 1 | 4 | yes | — |
| 218 | #6094 | — | 2 | 4 | no | — |
| 219 | #6094 | — | 2 | 4 | no | — |
| 220 | #6094 | — | 2 | 4 | no | — |
| 221 | C8×D13 | — | 2 | 4 | no | — |
| 222 | C8×D13 | — | 2 | 4 | no | — |
| 223 | C8×D13 | — | 2 | 4 | no | — |
| 224 | C8×D13 | C2×D4 | 1 | 2 | yes | — |
| 225 | C8×D13 | C2×D4 | 1 | 2 | yes | — |
| 226 | C8×D13 | C2×D4 | 1 | 2 | yes | — |
| 227 | C8×D13 | C2×D4 | 1 | 2 | yes | — |
| 228 | C2×#578 | — | 13 | 4 | no | — |
| 229 | #3293 | — | 13 | 1 | no | — |
| 230 | #3293 | — | 13 | 4 | no | — |
| 231 | #3293 | — | 13 | 4 | no | — |
| 232 | #3293 | — | 13 | 2 | no | — |
| 233 | #3293 | — | 13 | 4 | no | — |
| 234 | #3293 | D13 | 1 | 1 | yes | characteristic, direct product factor |
| 235 | C2×#494 | — | 13 | 1 | no | — |
| 236 | C2×#473 | — | 13 | 4 | no | — |
| 237 | C2×#456 | — | 13 | 4 | no | — |
| 238 | C2×#443 | — | 13 | 2 | no | — |
| 239 | C22×D13 | — | 2 | 4 | no | — |
| 240 | C22×D13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 241 | Q8×C13 | — | 2 | 8 | no | — |
| 242 | Q8×C13 | — | 4 | 4 | no | — |
| 243 | Q8×C13 | C22×D4 | 1 | 4 | yes | — |
| 244 | D4×C13 | — | 2 | 4 | no | — |
| 245 | D4×C13 | — | 4 | 4 | no | — |
| 246 | D4×C13 | C22×D4 | 1 | 4 | yes | — |
| 247 | C2×C4×C13 | — | 2 | 1 | no | — |
| 248 | C2×C4×C13 | — | 2 | 4 | no | — |
| 249 | C2×C4×C13 | — | 2 | 4 | no | — |
| 250 | C2×C4×C13 | — | 4 | 8 | no | — |
| 251 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 252 | C22⋊D13 | — | 2 | 4 | no | — |
| 253 | C22⋊D13 | — | 2 | 4 | no | — |
| 254 | C22⋊D13 | — | 2 | 4 | no | — |
| 255 | C22⋊D13 | — | 4 | 8 | no | — |
| 256 | C2×Dic13 | — | 2 | 1 | no | — |
| 257 | C2×Dic13 | — | 2 | 4 | no | — |
| 258 | C2×Dic13 | — | 2 | 4 | no | — |
| 259 | C2×Dic13 | — | 4 | 8 | no | — |
| 260 | C2×Dic13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 261 | D52 | — | 2 | 4 | no | — |
| 262 | D52 | — | 4 | 4 | no | — |
| 263 | D52 | C22×D4 | 1 | 4 | yes | — |
| 264 | C4×D13 | — | 2 | 4 | no | — |
| 265 | C4×D13 | — | 2 | 4 | no | — |
| 266 | C4×D13 | — | 2 | 4 | no | — |
| 267 | C4×D13 | — | 2 | 4 | no | — |
| 268 | C4×D13 | — | 4 | 8 | no | — |
| 269 | C4×D13 | — | 4 | 8 | no | — |
| 270 | C4×D13 | — | 4 | 4 | no | — |
| 271 | C4×D13 | — | 4 | 4 | no | — |
| 272 | C4×D13 | C22×D4 | 1 | 2 | yes | — |
| 273 | C4×D13 | C22×D4 | 1 | 2 | yes | — |
| 274 | Dic26 | — | 2 | 4 | no | — |
| 275 | Dic26 | — | 2 | 8 | no | — |
| 276 | Dic26 | — | 4 | 4 | no | — |
| 277 | Dic26 | — | 4 | 8 | no | — |
| 278 | Dic26 | — | 4 | 8 | no | — |
| 279 | Dic26 | C22×D4 | 1 | 4 | yes | — |
| 280 | C8×C13 | — | 2 | 4 | no | — |
| 281 | C8×C13 | C22×D4 | 1 | 2 | yes | — |
| 282 | C8×C13 | C22×D4 | 1 | 2 | yes | — |
| 283 | #1055 | — | 2 | 4 | no | — |
| 284 | #1055 | C22×D4 | 1 | 2 | yes | — |
| 285 | #1055 | C22×D4 | 1 | 2 | yes | — |
| 286 | C2×2−1+4 | — | 13 | 4 | no | — |
| 287 | #578 | — | 13 | 8 | no | — |
| 288 | #578 | — | 13 | 8 | no | — |
| 289 | #578 | — | 13 | 4 | no | — |
| 290 | #578 | — | 13 | 4 | no | — |
| 291 | #578 | — | 13 | 4 | no | — |
| 292 | #578 | — | 26 | 4 | no | — |
| 293 | #578 | — | 26 | 4 | no | — |
| 294 | #578 | — | 26 | 8 | no | — |
| 295 | #578 | C2×D13 | 1 | 4 | yes | complemented |
| 296 | C2×#137 | — | 13 | 8 | no | — |
| 297 | C2×#137 | — | 26 | 8 | no | — |
| 298 | C2×#135 | — | 13 | 2 | no | — |
| 299 | C2×#135 | — | 26 | 4 | no | — |
| 300 | C22×Q16 | — | 13 | 4 | no | — |
| 301 | C22×Q16 | — | 26 | 4 | no | — |
| 302 | C2×#131 | — | 13 | 4 | no | — |
| 303 | C2×C4⋊Q8 | — | 13 | 2 | no | — |
| 304 | #494 | — | 13 | 4 | no | — |
| 305 | #494 | — | 13 | 2 | no | — |
| 306 | #494 | — | 13 | 1 | no | — |
| 307 | #494 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 308 | #473 | — | 13 | 8 | no | — |
| 309 | #473 | — | 13 | 4 | no | — |
| 310 | #473 | — | 13 | 4 | no | — |
| 311 | #473 | — | 13 | 4 | no | — |
| 312 | #473 | — | 13 | 8 | no | — |
| 313 | #473 | C2×D13 | 1 | 4 | yes | complemented |
| 314 | #456 | — | 13 | 4 | no | — |
| 315 | #456 | — | 13 | 8 | no | — |
| 316 | #456 | — | 13 | 4 | no | — |
| 317 | #456 | — | 13 | 8 | no | — |
| 318 | #456 | — | 13 | 4 | no | — |
| 319 | #456 | C2×D13 | 1 | 4 | yes | complemented |
| 320 | #443 | — | 13 | 2 | no | — |
| 321 | #443 | — | 13 | 4 | no | — |
| 322 | #443 | — | 13 | 2 | no | — |
| 323 | #443 | — | 13 | 4 | no | — |
| 324 | #443 | — | 13 | 2 | no | — |
| 325 | #443 | C2×D13 | 1 | 2 | yes | complemented |
| 326 | C2×#108 | — | 13 | 2 | no | — |
| 327 | C2×#104 | — | 13 | 4 | no | — |
| 328 | C2×#101 | — | 13 | 4 | no | — |
| 329 | C2×C4×C8 | — | 13 | 1 | no | — |
| 330 | C22×C13 | — | 2 | 4 | no | — |
| 331 | C22×C13 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 332 | C2×D13 | — | 2 | 2 | no | — |
| 333 | C2×D13 | — | 2 | 4 | no | — |
| 334 | C2×D13 | — | 4 | 8 | no | — |
| 335 | C2×D13 | D42 | 1 | 1 | yes | characteristic |
| 336 | C2×D13 | D42 | 1 | 1 | yes | characteristic |
| 337 | C4×C13 | — | 2 | 2 | no | — |
| 338 | C4×C13 | — | 2 | 4 | no | — |
| 339 | C4×C13 | — | 4 | 4 | no | — |
| 340 | C4×C13 | C23×D4 | 1 | 2 | yes | — |
| 341 | Dic13 | — | 2 | 2 | no | — |
| 342 | Dic13 | — | 2 | 4 | no | — |
| 343 | Dic13 | — | 4 | 4 | no | — |
| 344 | Dic13 | D42 | 1 | 2 | yes | — |
| 345 | 2−1+4 | — | 13 | 8 | no | — |
| 346 | 2−1+4 | — | 13 | 4 | no | — |
| 347 | 2−1+4 | — | 26 | 8 | no | — |
| 348 | 2−1+4 | — | 26 | 8 | no | — |
| 349 | 2−1+4 | — | 52 | 4 | no | — |
| 350 | 2−1+4 | C22×D13 | 1 | 4 | yes | — |
| 351 | C2×#41 | — | 13 | 4 | no | — |
| 352 | C2×#41 | — | 26 | 8 | no | — |
| 353 | C2×#41 | — | 52 | 4 | no | — |
| 354 | C22×Q8 | — | 13 | 4 | no | — |
| 355 | C22×Q8 | — | 26 | 8 | no | — |
| 356 | #137 | — | 2 | 8 | no | — |
| 357 | #137 | — | 13 | 8 | no | — |
| 358 | #137 | — | 13 | 8 | no | — |
| 359 | #137 | — | 13 | 8 | no | — |
| 360 | #137 | — | 26 | 8 | no | — |
| 361 | #137 | — | 26 | 8 | no | — |
| 362 | #137 | — | 26 | 8 | no | — |
| 363 | #137 | — | 26 | 8 | no | — |
| 364 | #137 | — | 26 | 8 | no | — |
| 365 | #137 | — | 26 | 8 | no | — |
| 366 | #137 | — | 26 | 8 | no | — |
| 367 | #137 | — | 26 | 8 | no | — |
| 368 | #137 | — | 26 | 8 | no | — |
| 369 | #137 | C22×D13 | 1 | 8 | yes | — |
| 370 | #135 | — | 2 | 4 | no | — |
| 371 | #135 | — | 13 | 4 | no | — |
| 372 | #135 | — | 13 | 2 | no | — |
| 373 | #135 | — | 13 | 4 | no | — |
| 374 | #135 | — | 13 | 2 | no | — |
| 375 | #135 | — | 13 | 2 | no | — |
| 376 | #135 | — | 26 | 4 | no | — |
| 377 | #135 | — | 26 | 8 | no | — |
| 378 | #135 | — | 26 | 4 | no | — |
| 379 | #135 | — | 26 | 8 | no | — |
| 380 | #135 | — | 26 | 4 | no | — |
| 381 | #135 | C22×D13 | 1 | 2 | yes | — |
| 382 | C2×Q16 | — | 2 | 4 | no | — |
| 383 | C2×Q16 | — | 13 | 2 | no | — |
| 384 | C2×Q16 | — | 13 | 8 | no | — |
| 385 | C2×Q16 | — | 13 | 4 | no | — |
| 386 | C2×Q16 | — | 26 | 4 | no | — |
| 387 | C2×Q16 | — | 26 | 4 | no | — |
| 388 | C2×Q16 | — | 26 | 4 | no | — |
| 389 | C2×Q16 | — | 26 | 4 | no | — |
| 390 | C2×Q16 | — | 26 | 4 | no | — |
| 391 | C2×Q16 | — | 26 | 8 | no | — |
| 392 | C2×Q16 | — | 26 | 4 | no | — |
| 393 | C2×Q16 | — | 26 | 8 | no | — |
| 394 | C2×Q16 | — | 26 | 8 | no | — |
| 395 | C2×Q16 | — | 26 | 4 | no | — |
| 396 | C2×Q16 | C22×D13 | 1 | 4 | yes | — |
| 397 | C2×SD16 | — | 13 | 4 | no | — |
| 398 | C2×SD16 | — | 26 | 8 | no | — |
| 399 | C2×D8 | — | 13 | 2 | no | — |
| 400 | #131 | — | 13 | 4 | no | — |
| 401 | #131 | — | 13 | 4 | no | — |
| 402 | #131 | — | 13 | 4 | no | — |
| 403 | #131 | — | 26 | 4 | no | — |
| 404 | #131 | — | 26 | 4 | no | — |
| 405 | #131 | C22×D13 | 1 | 4 | yes | — |
| 406 | C2×M16 | — | 13 | 4 | no | — |
| 407 | C2×M16 | — | 26 | 4 | no | — |
| 408 | C22×C8 | — | 13 | 2 | no | — |
| 409 | C22×C8 | — | 26 | 4 | no | — |
| 410 | C4⋊Q8 | — | 13 | 4 | no | — |
| 411 | C4⋊Q8 | — | 13 | 2 | no | — |
| 412 | C4⋊Q8 | — | 52 | 2 | no | — |
| 413 | C4⋊Q8 | C22×D13 | 1 | 2 | yes | — |
| 414 | C2×C4⋊C4 | — | 52 | 2 | no | — |
| 415 | C2×C42 | — | 13 | 1 | no | — |
| 416 | #108 | — | 13 | 4 | no | — |
| 417 | #108 | — | 13 | 2 | no | — |
| 418 | #108 | C22×D13 | 1 | 2 | yes | — |
| 419 | #104 | — | 13 | 4 | no | — |
| 420 | #104 | — | 13 | 4 | no | — |
| 421 | #104 | — | 13 | 4 | no | — |
| 422 | #104 | C22×D13 | 1 | 4 | yes | — |
| 423 | #101 | — | 13 | 4 | no | — |
| 424 | #101 | — | 13 | 8 | no | — |
| 425 | #101 | C22×D13 | 1 | 4 | yes | — |
| 426 | C4×C8 | — | 13 | 2 | no | — |
| 427 | C4×C8 | — | 13 | 1 | no | — |
| 428 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 429 | C2×C13 | — | 2 | 1 | no | — |
| 430 | C2×C13 | — | 4 | 4 | no | — |
| 431 | C2×C13 | C2×D42 | 1 | 1 | yes | characteristic |
| 432 | D13 | — | 2 | 1 | no | — |
| 433 | D13 | — | 4 | 4 | no | — |
| 434 | D13 | #3293 | 1 | 2 | yes | direct product factor |
| 435 | #41 | — | 2 | 8 | no | — |
| 436 | #41 | — | 4 | 4 | no | — |
| 437 | #41 | — | 13 | 4 | no | — |
| 438 | #41 | — | 13 | 4 | no | — |
| 439 | #41 | — | 13 | 4 | no | — |
| 440 | #41 | — | 26 | 4 | no | — |
| 441 | #41 | — | 26 | 8 | no | — |
| 442 | #41 | — | 26 | 4 | no | — |
| 443 | #41 | — | 26 | 8 | no | — |
| 444 | #41 | — | 26 | 8 | no | — |
| 445 | #41 | — | 52 | 4 | no | — |
| 446 | #41 | — | 52 | 8 | no | — |
| 447 | #41 | — | 52 | 8 | no | — |
| 448 | #41 | — | 52 | 8 | no | — |
| 449 | #41 | — | 52 | 8 | no | — |
| 450 | #41 | — | 52 | 4 | no | — |
| 451 | #41 | — | 52 | 4 | no | — |
| 452 | #41 | C23×D13 | 1 | 4 | yes | — |
| 453 | C2×Q8 | — | 2 | 8 | no | — |
| 454 | C2×Q8 | — | 13 | 4 | no | — |
| 455 | C2×Q8 | — | 13 | 4 | no | — |
| 456 | C2×Q8 | — | 26 | 4 | no | — |
| 457 | C2×Q8 | — | 26 | 8 | no | — |
| 458 | C2×Q8 | — | 26 | 8 | no | — |
| 459 | C2×Q8 | — | 26 | 8 | no | — |
| 460 | C2×Q8 | — | 26 | 8 | no | — |
| 461 | C2×Q8 | — | 26 | 8 | no | — |
| 462 | C2×Q8 | — | 52 | 8 | no | — |
| 463 | C2×Q8 | — | 52 | 4 | no | — |
| 464 | C2×Q8 | — | 52 | 8 | no | — |
| 465 | C2×Q8 | C23×D13 | 1 | 4 | yes | — |
| 466 | C2×D4 | — | 13 | 4 | no | — |
| 467 | C2×D4 | — | 26 | 4 | no | — |
| 468 | C2×D4 | — | 52 | 4 | no | — |
| 469 | C22×C4 | — | 13 | 1 | no | — |
| 470 | C22×C4 | — | 26 | 4 | no | — |
| 471 | C22×C4 | — | 26 | 1 | no | — |
| 472 | C22×C4 | — | 26 | 4 | no | — |
| 473 | C22×C4 | — | 52 | 8 | no | — |
| 474 | Q16 | — | 2 | 8 | no | — |
| 475 | Q16 | — | 2 | 4 | no | — |
| 476 | Q16 | — | 2 | 4 | no | — |
| 477 | Q16 | — | 13 | 4 | no | — |
| 478 | Q16 | — | 13 | 2 | no | — |
| 479 | Q16 | — | 26 | 8 | no | — |
| 480 | Q16 | — | 26 | 8 | no | — |
| 481 | Q16 | — | 26 | 8 | no | — |
| 482 | Q16 | — | 26 | 8 | no | — |
| 483 | Q16 | — | 26 | 8 | no | — |
| 484 | Q16 | — | 26 | 4 | no | — |
| 485 | Q16 | — | 26 | 4 | no | — |
| 486 | Q16 | D4×D13 | 1 | 2 | yes | — |
| 487 | SD16 | — | 2 | 8 | no | — |
| 488 | SD16 | — | 13 | 4 | no | — |
| 489 | SD16 | — | 13 | 4 | no | — |
| 490 | SD16 | — | 13 | 4 | no | — |
| 491 | SD16 | — | 26 | 8 | no | — |
| 492 | SD16 | — | 26 | 8 | no | — |
| 493 | SD16 | — | 26 | 8 | no | — |
| 494 | SD16 | D4×D13 | 1 | 4 | yes | — |
| 495 | D8 | — | 13 | 4 | no | — |
| 496 | D8 | — | 13 | 2 | no | — |
| 497 | D8 | D4×D13 | 1 | 2 | yes | — |
| 498 | M16 | — | 2 | 4 | no | — |
| 499 | M16 | — | 13 | 4 | no | — |
| 500 | M16 | — | 26 | 4 | no | — |
| 501 | M16 | — | 26 | 4 | no | — |
| 502 | M16 | — | 26 | 4 | no | — |
| 503 | M16 | — | 26 | 4 | no | — |
| 504 | M16 | C23×D13 | 1 | 4 | yes | — |
| 505 | C2×C8 | — | 2 | 4 | no | — |
| 506 | C2×C8 | — | 13 | 2 | no | — |
| 507 | C2×C8 | — | 13 | 2 | no | — |
| 508 | C2×C8 | — | 13 | 2 | no | — |
| 509 | C2×C8 | — | 13 | 2 | no | — |
| 510 | C2×C8 | — | 13 | 2 | no | — |
| 511 | C2×C8 | — | 26 | 4 | no | — |
| 512 | C2×C8 | — | 26 | 4 | no | — |
| 513 | C2×C8 | — | 26 | 4 | no | — |
| 514 | C2×C8 | — | 26 | 4 | no | — |
| 515 | C2×C8 | C23×D13 | 1 | 2 | yes | — |
| 516 | C4⋊C4 | — | 4 | 2 | no | — |
| 517 | C4⋊C4 | — | 52 | 4 | no | — |
| 518 | C4⋊C4 | — | 52 | 2 | no | — |
| 519 | C42 | — | 13 | 1 | no | — |
| 520 | C42 | — | 26 | 1 | no | — |
| 521 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 522 | C13 | C2×#3293 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 523 | C23 | — | 13 | 1 | no | — |
| 524 | C23 | — | 26 | 4 | no | — |
| 525 | Q8 | — | 2 | 8 | no | — |
| 526 | Q8 | — | 4 | 4 | no | — |
| 527 | Q8 | — | 13 | 4 | no | — |
| 528 | Q8 | — | 26 | 4 | no | — |
| 529 | Q8 | — | 26 | 8 | no | — |
| 530 | Q8 | — | 52 | 8 | no | — |
| 531 | Q8 | — | 52 | 8 | no | — |
| 532 | Q8 | — | 52 | 4 | no | — |
| 533 | Q8 | C2×D4×D13 | 1 | 4 | yes | — |
| 534 | D4 | — | 2 | 4 | no | — |
| 535 | D4 | — | 4 | 4 | no | — |
| 536 | D4 | — | 13 | 4 | no | — |
| 537 | D4 | — | 26 | 4 | no | — |
| 538 | D4 | — | 26 | 4 | no | — |
| 539 | D4 | — | 26 | 4 | no | — |
| 540 | D4 | — | 26 | 4 | no | — |
| 541 | D4 | — | 52 | 4 | no | — |
| 542 | D4 | — | 52 | 8 | no | — |
| 543 | D4 | C2×D4×D13 | 1 | 4 | yes | — |
| 544 | C2×C4 | — | 2 | 1 | no | — |
| 545 | C2×C4 | — | 2 | 4 | no | — |
| 546 | C2×C4 | — | 2 | 4 | no | — |
| 547 | C2×C4 | — | 4 | 8 | no | — |
| 548 | C2×C4 | — | 13 | 1 | no | — |
| 549 | C2×C4 | — | 13 | 2 | no | — |
| 550 | C2×C4 | — | 13 | 2 | no | — |
| 551 | C2×C4 | — | 26 | 4 | no | — |
| 552 | C2×C4 | — | 26 | 4 | no | — |
| 553 | C2×C4 | — | 26 | 4 | no | — |
| 554 | C2×C4 | — | 26 | 4 | no | — |
| 555 | C2×C4 | — | 26 | 1 | no | — |
| 556 | C2×C4 | — | 26 | 4 | no | — |
| 557 | C2×C4 | — | 26 | 4 | no | — |
| 558 | C2×C4 | — | 52 | 8 | no | — |
| 559 | C2×C4 | — | 52 | 8 | no | — |
| 560 | C2×C4 | — | 52 | 4 | no | — |
| 561 | C2×C4 | — | 52 | 4 | no | — |
| 562 | C2×C4 | — | 52 | 8 | no | — |
| 563 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 564 | C8 | — | 2 | 4 | no | — |
| 565 | C8 | — | 13 | 2 | no | — |
| 566 | C8 | — | 13 | 2 | no | — |
| 567 | C8 | — | 26 | 4 | no | — |
| 568 | C8 | C2×D4×D13 | 1 | 2 | yes | — |
| 569 | C8 | C2×D4×D13 | 1 | 2 | yes | — |
| 570 | C22 | — | 2 | 4 | no | — |
| 571 | C22 | — | 13 | 1 | no | — |
| 572 | C22 | — | 13 | 1 | no | — |
| 573 | C22 | — | 26 | 2 | no | — |
| 574 | C22 | — | 26 | 4 | no | — |
| 575 | C22 | — | 52 | 8 | no | — |
| 576 | C22 | D13×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 577 | C4 | — | 2 | 2 | no | — |
| 578 | C4 | — | 2 | 4 | no | — |
| 579 | C4 | — | 4 | 4 | no | — |
| 580 | C4 | — | 13 | 2 | no | — |
| 581 | C4 | — | 26 | 2 | no | — |
| 582 | C4 | — | 26 | 4 | no | — |
| 583 | C4 | — | 52 | 4 | no | — |
| 584 | C4 | C22×D4×D13 | 1 | 2 | yes | — |
| 585 | C2 | — | 2 | 1 | no | — |
| 586 | C2 | — | 4 | 4 | no | — |
| 587 | C2 | — | 13 | 2 | no | — |
| 588 | C2 | — | 26 | 1 | no | — |
| 589 | C2 | — | 52 | 4 | no | — |
| 590 | C2 | D42×D13 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D13×#578 | C2 | semidirect |
| 2. #13126641 | C2 | semidirect |
| 3. #13126640 | C2 | semidirect |
| 4. #13126639 | C2 | semidirect |
| 5. #13126638 | C2 | semidirect |
| 6. #13126637 | C2 | semidirect |
| 7. D13×#494 | C2 | semidirect |
| 8. D13×#473 | C2 | semidirect |
| 9. D13×#456 | C2 | semidirect |
| 10. D13×#443 | C2 | semidirect |
| 11. C13×#3293 | C2 | semidirect |
| 13. C13×#578 | C22 | semidirect |
| 14. #11719543 | C22 | semidirect |
| 16. #11719484 | C22 | semidirect |
| 20. #11719476 | C22 | semidirect |
| 24. #11719471 | C22 | semidirect |
| 27. #11719458 | C22 | semidirect |
| 30. C13×#494 | C22 | semidirect |
| 31. C13×#473 | C22 | semidirect |
| 32. C13×#456 | C22 | semidirect |
| 33. C13×#443 | C22 | semidirect |
| 34. #11718907 | C22 | semidirect |
| 35. #11718866 | C22 | semidirect |
| 36. #11718865 | C22 | semidirect |
| 37. #11718857 | C22 | semidirect |
| 38. #11718853 | C22 | semidirect |
| 39. #11718842 | C22 | semidirect |
| 40. #11718805 | C22 | semidirect |
| 41. #11718804 | C22 | semidirect |
| 42. #11718756 | C22 | semidirect |
| 43. #11718753 | C22 | semidirect |
| 44. #11718557 | C22 | semidirect |
| 45. #11718556 | C22 | semidirect |
| 47. #11718487 | C22 | semidirect |
| 48. #11718485 | C22 | semidirect |
| 50. #11718416 | C22 | semidirect |
| 51. #11718413 | C22 | semidirect |
| 53. #11718361 | C22 | semidirect |
| 54. #11718360 | C22 | semidirect |
| 234. #3293 | D13 | direct (N × H) |
| 295. #578 | C2×D13 | semidirect |
| 307. #494 | C2×D13 | semidirect |
| 313. #473 | C2×D13 | semidirect |
| 319. #456 | C2×D13 | semidirect |
| 325. #443 | C2×D13 | semidirect |
| 434. D13 | #3293 | direct (N × H) |
| 522. C13 | C2×#3293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#578 | 2 |
| #13126641 | 2 |
| #13126640 | 2 |
| #13126639 | 2 |
| #13126638 | 2 |
| #13126637 | 2 |
| D13×#494 | 2 |
| D13×#473 | 2 |
| D13×#456 | 2 |
| D13×#443 | 2 |
| C13×#3293 | 2 |
| C2×#3293 | 13 |