Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2620 conjugacy classes of subgroups.
The subgroup lattice has 1006 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129609 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #13129607 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13126637 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13126632 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13126631 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13126626 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13126620 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #13126615 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #13125262 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13124555 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #13124553 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #13124187 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #13124184 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#11718485 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | C13×#3018 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C13×#585 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11719648 | C22 | 1 | 2 | yes | complemented |
| 18 | #11719648 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C13×#575 | C22 | 1 | 2 | yes | complemented |
| 20 | C13×#532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #11719543 | — | 2 | 2 | no | — |
| 22 | #11719543 | C22 | 1 | 4 | yes | complemented |
| 23 | #11719542 | — | 2 | 2 | no | — |
| 24 | #11719542 | C22 | 1 | 4 | yes | complemented |
| 25 | #11719541 | — | 2 | 2 | no | — |
| 26 | #11719541 | C22 | 1 | 4 | yes | complemented |
| 27 | #11719540 | — | 2 | 2 | no | — |
| 28 | #11719540 | C22 | 1 | 4 | yes | complemented |
| 29 | #11719527 | — | 2 | 4 | no | — |
| 30 | #11719527 | C22 | 1 | 2 | yes | complemented |
| 31 | #11719527 | C22 | 1 | 2 | yes | complemented |
| 32 | C2×#88204 | — | 2 | 4 | no | — |
| 33 | C2×#88204 | C22 | 1 | 2 | yes | — |
| 34 | C2×#88204 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#88204 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#88202 | C22 | 1 | 2 | yes | complemented |
| 37 | #11719484 | — | 2 | 2 | no | — |
| 38 | #11719484 | C22 | 1 | 4 | yes | complemented |
| 39 | #11719483 | — | 2 | 2 | no | — |
| 40 | #11719483 | C22 | 1 | 4 | yes | complemented |
| 41 | #11719480 | — | 2 | 2 | no | — |
| 42 | #11719480 | C22 | 1 | 4 | yes | complemented |
| 43 | #11719479 | — | 2 | 2 | no | — |
| 44 | #11719479 | C22 | 1 | 4 | yes | complemented |
| 45 | #11719473 | — | 2 | 4 | no | — |
| 46 | D13×#135 | — | 2 | 4 | no | — |
| 47 | #11719453 | C22 | 1 | 2 | yes | complemented |
| 48 | C2×#88161 | C22 | 1 | 2 | yes | complemented |
| 49 | #11719182 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C13×#456 | C22 | 1 | 2 | yes | complemented |
| 51 | C13×#455 | C22 | 1 | 2 | yes | complemented |
| 52 | C13×#454 | C22 | 1 | 2 | yes | complemented |
| 53 | C13×#453 | C22 | 1 | 2 | yes | complemented |
| 54 | C2×C13×#104 | C22 | 1 | 2 | yes | complemented |
| 55 | C13×#413 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #11718898 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #11718865 | C22 | 1 | 4 | yes | complemented |
| 58 | #11718864 | C22 | 1 | 4 | yes | complemented |
| 59 | #11718861 | C22 | 1 | 4 | yes | complemented |
| 60 | #11718860 | C22 | 1 | 4 | yes | complemented |
| 61 | #11718793 | C22 | 1 | 2 | yes | complemented |
| 62 | C2×#88062 | C22 | 1 | 2 | yes | complemented |
| 63 | #11718756 | C22 | 1 | 2 | yes | complemented |
| 64 | #11718753 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #11718746 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #11718738 | C22 | 1 | 2 | yes | complemented |
| 67 | #11718737 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #11718734 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #11718723 | C22 | 1 | 2 | yes | complemented |
| 70 | #11718722 | C22 | 1 | 2 | yes | complemented |
| 71 | #11718720 | C22 | 1 | 2 | yes | complemented |
| 72 | #11718720 | C22 | 1 | 2 | yes | complemented |
| 73 | C2×#88045 | C22 | 1 | 2 | yes | complemented |
| 74 | C2×C4×#1055 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | #11718488 | C22 | 1 | 4 | yes | complemented |
| 76 | #11718487 | C22 | 1 | 4 | yes | complemented |
| 77 | #11718486 | C22 | 1 | 4 | yes | complemented |
| 78 | #11718485 | C22 | 1 | 4 | yes | complemented |
| 79 | #11718485 | C22 | 1 | 4 | yes | complemented |
| 80 | #11718485 | C22 | 1 | 4 | yes | complemented |
| 81 | #11718485 | C22 | 1 | 4 | yes | complemented |
| 82 | #11718483 | C22 | 1 | 4 | yes | complemented |
| 83 | #11718416 | C22 | 1 | 4 | yes | complemented |
| 84 | #11718415 | C22 | 1 | 4 | yes | complemented |
| 85 | #11718410 | C22 | 1 | 4 | yes | complemented |
| 86 | #11718409 | C22 | 1 | 4 | yes | complemented |
| 87 | C13×2−1+4 | — | 2 | 2 | no | — |
| 88 | C13×2−1+4 | C23 | 1 | 2 | yes | — |
| 89 | C13×H(5,𝔽2) | — | 2 | 2 | no | — |
| 90 | C13×H(5,𝔽2) | — | 4 | 1 | no | — |
| 91 | C13×H(5,𝔽2) | C23 | 1 | 2 | yes | — |
| 92 | C2×C13×#41 | — | 2 | 4 | no | — |
| 93 | C2×C13×#41 | — | 4 | 1 | no | — |
| 94 | C2×C13×#41 | C23 | 1 | 2 | yes | — |
| 95 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 97 | #88257 | — | 2 | 2 | no | — |
| 98 | #88257 | — | 2 | 2 | no | — |
| 99 | #88257 | C23 | 1 | 4 | yes | — |
| 100 | #88256 | — | 2 | 2 | no | — |
| 101 | #88256 | — | 2 | 2 | no | — |
| 102 | #88256 | C23 | 1 | 4 | yes | — |
| 103 | #41×D13 | — | 2 | 4 | no | — |
| 104 | #41×D13 | — | 2 | 4 | no | — |
| 105 | #41×D13 | — | 4 | 2 | no | — |
| 106 | #88254 | — | 2 | 2 | no | — |
| 107 | #88254 | C23 | 1 | 2 | yes | — |
| 108 | #88251 | — | 2 | 2 | no | — |
| 109 | #88251 | — | 4 | 1 | no | — |
| 110 | #88251 | — | 4 | 2 | no | — |
| 111 | #88251 | C23 | 1 | 2 | yes | — |
| 112 | C2×#6127 | — | 2 | 4 | no | — |
| 113 | C2×#6127 | — | 4 | 1 | no | — |
| 114 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 115 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 116 | C13×#137 | — | 2 | 2 | no | — |
| 117 | C13×#137 | C23 | 1 | 4 | yes | — |
| 118 | C13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 119 | C13×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | — |
| 120 | C13×#135 | — | 2 | 4 | no | — |
| 121 | C2×C13×M16 | C23 | 1 | 2 | yes | — |
| 122 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 123 | C13×#127 | C23 | 1 | 1 | yes | characteristic |
| 124 | C13×#124 | C23 | 1 | 1 | yes | characteristic |
| 125 | C13×#124 | C23 | 1 | 1 | yes | characteristic |
| 126 | C13×#121 | — | 4 | 1 | no | — |
| 127 | C4×D4×C13 | — | 4 | 1 | no | — |
| 128 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 129 | #88205 | — | 2 | 2 | no | — |
| 130 | #88205 | — | 2 | 4 | no | — |
| 131 | #88205 | — | 2 | 4 | no | — |
| 132 | #88205 | C23 | 1 | 4 | yes | — |
| 133 | #88204 | — | 2 | 4 | no | — |
| 134 | #88204 | — | 2 | 4 | no | — |
| 135 | #88204 | — | 2 | 4 | no | — |
| 136 | #88204 | — | 2 | 4 | no | — |
| 137 | #88204 | — | 2 | 4 | no | — |
| 138 | #88204 | — | 2 | 4 | no | — |
| 139 | #88204 | — | 2 | 2 | no | — |
| 140 | #88204 | — | 2 | 2 | no | — |
| 141 | #88204 | — | 2 | 2 | no | — |
| 142 | #88204 | — | 2 | 2 | no | — |
| 143 | #88204 | — | 2 | 2 | no | — |
| 144 | #88204 | — | 2 | 2 | no | — |
| 145 | #88204 | — | 2 | 2 | no | — |
| 146 | #88204 | — | 2 | 2 | no | — |
| 147 | #88204 | D4 | 1 | 4 | yes | complemented |
| 148 | #88204 | D4 | 1 | 4 | yes | complemented |
| 149 | #88204 | C23 | 1 | 4 | yes | — |
| 150 | #88204 | C23 | 1 | 4 | yes | — |
| 151 | #88203 | — | 2 | 2 | no | — |
| 152 | #88203 | — | 2 | 4 | no | — |
| 153 | #88203 | — | 2 | 4 | no | — |
| 154 | #88203 | C23 | 1 | 4 | yes | — |
| 155 | #88202 | — | 2 | 2 | no | — |
| 156 | #88202 | — | 2 | 2 | no | — |
| 157 | #88202 | C23 | 1 | 4 | yes | — |
| 158 | #88202 | C23 | 1 | 4 | yes | — |
| 159 | C2×#6107 | — | 2 | 4 | no | — |
| 160 | C2×#6107 | D4 | 1 | 2 | yes | complemented |
| 161 | C2×#6107 | C23 | 1 | 2 | yes | — |
| 162 | C2×#6107 | C23 | 1 | 2 | yes | — |
| 163 | #88196 | — | 2 | 2 | no | — |
| 164 | #88196 | — | 2 | 4 | no | — |
| 165 | #88196 | — | 2 | 4 | no | — |
| 166 | #88196 | C23 | 1 | 4 | yes | — |
| 167 | C2×#6106 | — | 2 | 4 | no | — |
| 168 | C2×#6106 | D4 | 1 | 2 | yes | complemented |
| 169 | C2×#6106 | C23 | 1 | 2 | yes | — |
| 170 | C2×#6106 | C23 | 1 | 2 | yes | — |
| 171 | C2×#6105 | — | 2 | 4 | no | — |
| 172 | C2×#6105 | D4 | 1 | 2 | yes | complemented |
| 173 | C2×#6105 | C23 | 1 | 2 | yes | — |
| 174 | C2×#6105 | C23 | 1 | 2 | yes | — |
| 175 | #88186 | — | 2 | 2 | no | — |
| 176 | #88186 | — | 2 | 4 | no | — |
| 177 | #88186 | — | 2 | 4 | no | — |
| 178 | #88186 | C23 | 1 | 4 | yes | — |
| 179 | C2×#6104 | — | 2 | 4 | no | — |
| 180 | C2×#6104 | D4 | 1 | 2 | yes | complemented |
| 181 | C2×#6104 | C23 | 1 | 2 | yes | — |
| 182 | C2×#6104 | C23 | 1 | 2 | yes | — |
| 183 | #88184 | — | 4 | 1 | no | — |
| 184 | C2×#6099 | — | 2 | 2 | no | — |
| 185 | C2×#6099 | C23 | 1 | 2 | yes | — |
| 186 | C22×#1055 | — | 2 | 2 | no | — |
| 187 | C22×#1055 | C23 | 1 | 2 | yes | — |
| 188 | #88173 | — | 2 | 4 | no | — |
| 189 | #88172 | — | 2 | 4 | no | — |
| 190 | #88172 | — | 2 | 4 | no | — |
| 191 | Q16×D13 | — | 2 | 4 | no | — |
| 192 | #88170 | — | 2 | 4 | no | — |
| 193 | #88170 | — | 2 | 4 | no | — |
| 194 | #88169 | — | 2 | 4 | no | — |
| 195 | #88169 | — | 2 | 4 | no | — |
| 196 | #88168 | — | 2 | 4 | no | — |
| 197 | #88168 | — | 2 | 4 | no | — |
| 198 | SD16×D13 | — | 2 | 4 | no | — |
| 199 | SD16×D13 | — | 2 | 4 | no | — |
| 200 | #88166 | — | 2 | 4 | no | — |
| 201 | #88165 | — | 2 | 4 | no | — |
| 202 | #88165 | — | 2 | 4 | no | — |
| 203 | D8×D13 | — | 2 | 4 | no | — |
| 204 | #88163 | — | 2 | 2 | no | — |
| 205 | #88163 | C23 | 1 | 4 | yes | — |
| 206 | #88162 | — | 2 | 2 | no | — |
| 207 | #88162 | C23 | 1 | 4 | yes | — |
| 208 | #88161 | — | 2 | 2 | no | — |
| 209 | #88161 | — | 2 | 2 | no | — |
| 210 | #88161 | C23 | 1 | 4 | yes | — |
| 211 | #88161 | C23 | 1 | 4 | yes | — |
| 212 | #88158 | — | 2 | 4 | no | — |
| 213 | C2×#6094 | — | 2 | 2 | no | — |
| 214 | C2×C8×D13 | — | 2 | 2 | no | — |
| 215 | #88129 | C23 | 1 | 2 | yes | — |
| 216 | #88128 | C23 | 1 | 1 | yes | characteristic |
| 217 | C4×D52 | — | 4 | 1 | no | — |
| 218 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 219 | C13×#104 | C23 | 1 | 4 | yes | — |
| 220 | C13×#104 | C23 | 1 | 4 | yes | — |
| 221 | C13×#101 | C23 | 1 | 2 | yes | — |
| 222 | C13×#100 | C23 | 1 | 2 | yes | — |
| 223 | #88076 | C23 | 1 | 2 | yes | — |
| 224 | #88073 | C23 | 1 | 2 | yes | — |
| 225 | #88064 | C23 | 1 | 4 | yes | — |
| 226 | #88063 | C23 | 1 | 4 | yes | — |
| 227 | #88062 | C23 | 1 | 4 | yes | — |
| 228 | #88062 | C23 | 1 | 4 | yes | — |
| 229 | #88045 | C23 | 1 | 4 | yes | — |
| 230 | #88045 | C23 | 1 | 4 | yes | — |
| 231 | C4×#1055 | C23 | 1 | 2 | yes | — |
| 232 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 233 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 234 | #61105 | — | 13 | 1 | no | maximal, Sylow |
| 235 | C13×#41 | — | 2 | 2 | no | — |
| 236 | C13×#41 | — | 2 | 2 | no | — |
| 237 | C13×#41 | — | 2 | 4 | no | — |
| 238 | C13×#41 | — | 2 | 4 | no | — |
| 239 | C13×#41 | — | 2 | 2 | no | — |
| 240 | C13×#41 | — | 2 | 2 | no | — |
| 241 | C13×#41 | — | 2 | 2 | no | — |
| 242 | C13×#41 | — | 2 | 2 | no | — |
| 243 | C13×#41 | — | 4 | 2 | no | — |
| 244 | C13×#41 | — | 4 | 2 | no | — |
| 245 | C13×#41 | — | 4 | 4 | no | — |
| 246 | C13×#41 | — | 4 | 2 | no | — |
| 247 | C13×#41 | C2×D4 | 1 | 4 | yes | — |
| 248 | C13×#41 | C24 | 1 | 4 | yes | — |
| 249 | C2×Q8×C13 | — | 2 | 4 | no | — |
| 250 | C2×Q8×C13 | — | 4 | 1 | no | — |
| 251 | C2×Q8×C13 | C2×D4 | 1 | 2 | yes | — |
| 252 | C2×Q8×C13 | C24 | 1 | 1 | yes | characteristic |
| 253 | C2×Q8×C13 | C24 | 1 | 1 | yes | characteristic |
| 254 | C2×D4×C13 | — | 2 | 2 | no | — |
| 255 | C2×D4×C13 | — | 2 | 4 | no | — |
| 256 | C2×D4×C13 | — | 2 | 1 | no | — |
| 257 | C2×D4×C13 | — | 2 | 1 | no | — |
| 258 | C2×D4×C13 | — | 4 | 1 | no | — |
| 259 | C2×D4×C13 | — | 4 | 2 | no | — |
| 260 | C2×D4×C13 | — | 4 | 1 | no | — |
| 261 | C2×D4×C13 | — | 4 | 4 | no | — |
| 262 | C2×D4×C13 | C2×D4 | 1 | 2 | yes | — |
| 263 | C2×D4×C13 | C24 | 1 | 1 | yes | characteristic |
| 264 | C2×D4×C13 | C24 | 1 | 1 | yes | characteristic |
| 265 | C22×C4×C13 | — | 2 | 2 | no | — |
| 266 | C22×C4×C13 | — | 2 | 1 | no | — |
| 267 | C22×C4×C13 | — | 2 | 1 | no | — |
| 268 | C22×C4×C13 | — | 2 | 1 | no | — |
| 269 | C22×C4×C13 | — | 4 | 2 | no | — |
| 270 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 271 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 272 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 273 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 274 | C2×C22⋊D13 | — | 4 | 4 | no | — |
| 275 | #6131 | — | 2 | 4 | no | — |
| 276 | #6131 | — | 2 | 4 | no | — |
| 277 | #6131 | — | 4 | 2 | no | — |
| 278 | Q8×D13 | — | 2 | 4 | no | — |
| 279 | Q8×D13 | — | 2 | 4 | no | — |
| 280 | Q8×D13 | — | 4 | 2 | no | — |
| 281 | #6129 | — | 2 | 4 | no | — |
| 282 | #6129 | — | 2 | 4 | no | — |
| 283 | #6129 | — | 4 | 2 | no | — |
| 284 | #6129 | — | 4 | 4 | no | — |
| 285 | #6129 | — | 4 | 4 | no | — |
| 286 | #6129 | — | 4 | 4 | no | — |
| 287 | D4×D13 | — | 2 | 4 | no | — |
| 288 | D4×D13 | — | 2 | 4 | no | — |
| 289 | D4×D13 | — | 4 | 2 | no | — |
| 290 | D4×D13 | — | 4 | 4 | no | — |
| 291 | D4×D13 | — | 4 | 4 | no | — |
| 292 | D4×D13 | — | 4 | 4 | no | — |
| 293 | #6127 | — | 2 | 2 | no | — |
| 294 | #6127 | — | 2 | 2 | no | — |
| 295 | #6127 | — | 2 | 2 | no | — |
| 296 | #6127 | — | 2 | 2 | no | — |
| 297 | #6127 | — | 2 | 2 | no | — |
| 298 | #6127 | — | 2 | 2 | no | — |
| 299 | #6127 | — | 2 | 4 | no | — |
| 300 | #6127 | — | 2 | 4 | no | — |
| 301 | #6127 | — | 4 | 2 | no | — |
| 302 | #6127 | — | 4 | 2 | no | — |
| 303 | #6127 | — | 4 | 4 | no | — |
| 304 | #6127 | — | 4 | 2 | no | — |
| 305 | #6127 | — | 4 | 4 | no | — |
| 306 | #6127 | C2×D4 | 1 | 4 | yes | — |
| 307 | #6127 | C24 | 1 | 4 | yes | — |
| 308 | C2×D52 | — | 2 | 4 | no | — |
| 309 | C2×D52 | — | 4 | 1 | no | — |
| 310 | C2×D52 | — | 4 | 1 | no | — |
| 311 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 312 | C2×D52 | C24 | 1 | 2 | yes | — |
| 313 | C2×C4×D13 | — | 2 | 2 | no | — |
| 314 | C2×C4×D13 | — | 2 | 2 | no | — |
| 315 | C2×C4×D13 | — | 4 | 2 | no | — |
| 316 | C2×C4×D13 | — | 4 | 4 | no | — |
| 317 | C2×Dic26 | — | 2 | 4 | no | — |
| 318 | C2×Dic26 | — | 4 | 1 | no | — |
| 319 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 320 | C2×Dic26 | C24 | 1 | 2 | yes | — |
| 321 | C13×Q16 | — | 2 | 4 | no | — |
| 322 | C13×SD16 | — | 2 | 4 | no | — |
| 323 | C13×SD16 | — | 2 | 4 | no | — |
| 324 | C13×D8 | — | 2 | 4 | no | — |
| 325 | C13×M16 | — | 2 | 2 | no | — |
| 326 | C13×M16 | C24 | 1 | 4 | yes | — |
| 327 | C2×C8×C13 | — | 2 | 2 | no | — |
| 328 | C13×C4⋊C4 | — | 4 | 1 | no | — |
| 329 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 330 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 331 | C42×C13 | — | 2 | 1 | no | — |
| 332 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 333 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 334 | #6107 | — | 2 | 4 | no | — |
| 335 | #6107 | — | 2 | 4 | no | — |
| 336 | #6107 | — | 2 | 2 | no | — |
| 337 | #6107 | — | 2 | 2 | no | — |
| 338 | #6107 | — | 2 | 2 | no | — |
| 339 | #6107 | — | 2 | 2 | no | — |
| 340 | #6107 | C2×D4 | 1 | 4 | yes | — |
| 341 | #6107 | C2×D4 | 1 | 4 | yes | — |
| 342 | #6106 | — | 2 | 4 | no | — |
| 343 | #6106 | — | 2 | 4 | no | — |
| 344 | #6106 | — | 2 | 2 | no | — |
| 345 | #6106 | — | 2 | 2 | no | — |
| 346 | #6106 | — | 2 | 2 | no | — |
| 347 | #6106 | — | 2 | 2 | no | — |
| 348 | #6106 | C2×D4 | 1 | 4 | yes | — |
| 349 | #6106 | C2×D4 | 1 | 4 | yes | — |
| 350 | #6105 | — | 2 | 4 | no | — |
| 351 | #6105 | — | 2 | 4 | no | — |
| 352 | #6105 | — | 2 | 2 | no | — |
| 353 | #6105 | — | 2 | 2 | no | — |
| 354 | #6105 | — | 2 | 2 | no | — |
| 355 | #6105 | — | 2 | 2 | no | — |
| 356 | #6105 | C2×D4 | 1 | 4 | yes | — |
| 357 | #6105 | C2×D4 | 1 | 4 | yes | — |
| 358 | #6104 | — | 2 | 4 | no | — |
| 359 | #6104 | — | 2 | 4 | no | — |
| 360 | #6104 | — | 2 | 2 | no | — |
| 361 | #6104 | — | 2 | 2 | no | — |
| 362 | #6104 | — | 2 | 2 | no | — |
| 363 | #6104 | — | 2 | 2 | no | — |
| 364 | #6104 | C2×D4 | 1 | 4 | yes | — |
| 365 | #6104 | C2×D4 | 1 | 4 | yes | — |
| 366 | #6103 | — | 4 | 2 | no | — |
| 367 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 368 | #6099 | — | 2 | 2 | no | — |
| 369 | #6099 | — | 2 | 4 | no | — |
| 370 | #6099 | — | 2 | 4 | no | — |
| 371 | #6099 | C24 | 1 | 4 | yes | — |
| 372 | C2×#1055 | — | 2 | 2 | no | — |
| 373 | C2×#1055 | — | 2 | 4 | no | — |
| 374 | C2×#1055 | — | 2 | 4 | no | — |
| 375 | C2×#1055 | C2×D4 | 1 | 2 | yes | — |
| 376 | C2×#1055 | C2×D4 | 1 | 2 | yes | — |
| 377 | C2×#1055 | C2×D4 | 1 | 2 | yes | — |
| 378 | C2×#1055 | C2×D4 | 1 | 2 | yes | — |
| 379 | C2×#1055 | C24 | 1 | 2 | yes | — |
| 380 | C2×#1055 | C24 | 1 | 2 | yes | — |
| 381 | Dic52 | — | 2 | 4 | no | — |
| 382 | D104 | — | 2 | 4 | no | — |
| 383 | #6095 | — | 2 | 4 | no | — |
| 384 | #6095 | — | 2 | 4 | no | — |
| 385 | #6094 | — | 2 | 4 | no | — |
| 386 | #6094 | — | 2 | 4 | no | — |
| 387 | C8×D13 | — | 2 | 4 | no | — |
| 388 | C8×D13 | — | 2 | 4 | no | — |
| 389 | #3584 | — | 13 | 2 | no | — |
| 390 | #3584 | — | 13 | 2 | no | — |
| 391 | #3293 | — | 13 | 2 | no | — |
| 392 | #3292 | — | 13 | 2 | no | — |
| 393 | #3291 | — | 13 | 2 | no | — |
| 394 | #3291 | — | 13 | 2 | no | — |
| 395 | #3290 | — | 13 | 4 | no | — |
| 396 | #3290 | — | 13 | 4 | no | — |
| 397 | #3147 | — | 13 | 1 | no | — |
| 398 | #3067 | — | 13 | 2 | no | — |
| 399 | #3067 | — | 13 | 2 | no | — |
| 400 | #3018 | — | 13 | 2 | no | — |
| 401 | #3018 | — | 13 | 1 | no | — |
| 402 | #3018 | D13 | 1 | 1 | yes | characteristic, complemented |
| 403 | C2×#443 | — | 13 | 2 | no | — |
| 404 | C23×C13 | — | 2 | 2 | no | — |
| 405 | C23×C13 | — | 2 | 1 | no | — |
| 406 | C23×C13 | — | 2 | 1 | no | — |
| 407 | C23×C13 | — | 4 | 2 | no | — |
| 408 | C23×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 409 | C22×D13 | — | 2 | 2 | no | — |
| 410 | C22×D13 | — | 2 | 2 | no | — |
| 411 | C22×D13 | — | 4 | 2 | no | — |
| 412 | C22×D13 | — | 4 | 4 | no | — |
| 413 | Q8×C13 | — | 2 | 2 | no | — |
| 414 | Q8×C13 | — | 2 | 2 | no | — |
| 415 | Q8×C13 | — | 2 | 2 | no | — |
| 416 | Q8×C13 | — | 4 | 2 | no | — |
| 417 | Q8×C13 | C22×D4 | 1 | 4 | yes | — |
| 418 | D4×C13 | — | 2 | 4 | no | — |
| 419 | D4×C13 | — | 2 | 4 | no | — |
| 420 | D4×C13 | — | 2 | 2 | no | — |
| 421 | D4×C13 | — | 2 | 2 | no | — |
| 422 | D4×C13 | — | 2 | 2 | no | — |
| 423 | D4×C13 | — | 4 | 4 | no | — |
| 424 | D4×C13 | — | 4 | 2 | no | — |
| 425 | D4×C13 | — | 4 | 2 | no | — |
| 426 | D4×C13 | — | 4 | 2 | no | — |
| 427 | D4×C13 | — | 8 | 2 | no | — |
| 428 | D4×C13 | C22×D4 | 1 | 4 | yes | — |
| 429 | C2×C4×C13 | — | 2 | 2 | no | — |
| 430 | C2×C4×C13 | — | 2 | 1 | no | — |
| 431 | C2×C4×C13 | — | 2 | 4 | no | — |
| 432 | C2×C4×C13 | — | 2 | 4 | no | — |
| 433 | C2×C4×C13 | — | 2 | 1 | no | — |
| 434 | C2×C4×C13 | — | 2 | 1 | no | — |
| 435 | C2×C4×C13 | — | 2 | 1 | no | — |
| 436 | C2×C4×C13 | — | 4 | 2 | no | — |
| 437 | C2×C4×C13 | — | 4 | 4 | no | — |
| 438 | C2×C4×C13 | — | 4 | 2 | no | — |
| 439 | C2×C4×C13 | — | 4 | 1 | no | — |
| 440 | C2×C4×C13 | — | 4 | 1 | no | — |
| 441 | C2×C4×C13 | — | 4 | 1 | no | — |
| 442 | C2×C4×C13 | — | 4 | 1 | no | — |
| 443 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 444 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 445 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 446 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 447 | C22⋊D13 | — | 2 | 4 | no | — |
| 448 | C22⋊D13 | — | 2 | 4 | no | — |
| 449 | C22⋊D13 | — | 4 | 4 | no | — |
| 450 | C22⋊D13 | — | 4 | 4 | no | — |
| 451 | C22⋊D13 | — | 4 | 4 | no | — |
| 452 | C22⋊D13 | — | 4 | 2 | no | — |
| 453 | C22⋊D13 | — | 4 | 2 | no | — |
| 454 | C2×Dic13 | — | 2 | 2 | no | — |
| 455 | C2×Dic13 | — | 2 | 2 | no | — |
| 456 | C2×Dic13 | — | 4 | 2 | no | — |
| 457 | C2×Dic13 | — | 4 | 4 | no | — |
| 458 | D52 | — | 2 | 2 | no | — |
| 459 | D52 | — | 2 | 2 | no | — |
| 460 | D52 | — | 2 | 2 | no | — |
| 461 | D52 | — | 4 | 4 | no | — |
| 462 | D52 | — | 4 | 2 | no | — |
| 463 | D52 | — | 8 | 2 | no | — |
| 464 | D52 | C22×D4 | 1 | 4 | yes | — |
| 465 | C4×D13 | — | 2 | 4 | no | — |
| 466 | C4×D13 | — | 2 | 4 | no | — |
| 467 | C4×D13 | — | 4 | 4 | no | — |
| 468 | C4×D13 | — | 4 | 4 | no | — |
| 469 | C4×D13 | — | 4 | 4 | no | — |
| 470 | C4×D13 | — | 4 | 2 | no | — |
| 471 | C4×D13 | — | 4 | 2 | no | — |
| 472 | Dic26 | — | 2 | 2 | no | — |
| 473 | Dic26 | — | 2 | 2 | no | — |
| 474 | Dic26 | — | 2 | 2 | no | — |
| 475 | Dic26 | — | 4 | 2 | no | — |
| 476 | Dic26 | — | 4 | 4 | no | — |
| 477 | Dic26 | C22×D4 | 1 | 4 | yes | — |
| 478 | C8×C13 | — | 2 | 4 | no | — |
| 479 | #1055 | — | 2 | 4 | no | — |
| 480 | #1055 | C22×D4 | 1 | 2 | yes | — |
| 481 | #1055 | C22×D4 | 1 | 2 | yes | — |
| 482 | #1055 | C22×D4 | 1 | 2 | yes | — |
| 483 | #1055 | C22×D4 | 1 | 2 | yes | — |
| 484 | #585 | — | 13 | 1 | no | — |
| 485 | #585 | — | 13 | 2 | no | — |
| 486 | #585 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 487 | #578 | — | 13 | 4 | no | — |
| 488 | #578 | — | 13 | 4 | no | — |
| 489 | #578 | — | 26 | 2 | no | — |
| 490 | #578 | — | 26 | 2 | no | — |
| 491 | #577 | — | 13 | 4 | no | — |
| 492 | #577 | — | 13 | 4 | no | — |
| 493 | #577 | — | 13 | 4 | no | — |
| 494 | #577 | — | 13 | 4 | no | — |
| 495 | #577 | — | 26 | 2 | no | — |
| 496 | #577 | — | 26 | 2 | no | — |
| 497 | #577 | — | 26 | 2 | no | — |
| 498 | #577 | — | 26 | 2 | no | — |
| 499 | #576 | — | 13 | 4 | no | — |
| 500 | #576 | — | 13 | 4 | no | — |
| 501 | #576 | — | 26 | 2 | no | — |
| 502 | #576 | — | 26 | 2 | no | — |
| 503 | #575 | — | 13 | 2 | no | — |
| 504 | #575 | — | 13 | 2 | no | — |
| 505 | #575 | — | 13 | 2 | no | — |
| 506 | #575 | — | 26 | 4 | no | — |
| 507 | #575 | — | 26 | 4 | no | — |
| 508 | #575 | C2×D13 | 1 | 2 | yes | complemented |
| 509 | C2×#135 | — | 13 | 2 | no | — |
| 510 | C2×#135 | — | 13 | 2 | no | — |
| 511 | C2×#135 | — | 13 | 2 | no | — |
| 512 | C2×#135 | — | 26 | 4 | no | — |
| 513 | C2×#135 | — | 26 | 4 | no | — |
| 514 | C2×#131 | — | 13 | 2 | no | — |
| 515 | C2×#131 | — | 13 | 2 | no | — |
| 516 | #532 | — | 13 | 1 | no | — |
| 517 | #532 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 518 | #495 | — | 13 | 2 | no | — |
| 519 | #495 | — | 13 | 2 | no | — |
| 520 | #494 | — | 13 | 1 | no | — |
| 521 | #493 | — | 13 | 1 | no | — |
| 522 | #492 | — | 13 | 1 | no | — |
| 523 | #492 | — | 13 | 1 | no | — |
| 524 | #473 | — | 13 | 4 | no | — |
| 525 | #473 | — | 13 | 4 | no | — |
| 526 | #472 | — | 13 | 4 | no | — |
| 527 | #472 | — | 13 | 4 | no | — |
| 528 | #471 | — | 13 | 4 | no | — |
| 529 | #471 | — | 13 | 4 | no | — |
| 530 | #471 | — | 13 | 4 | no | — |
| 531 | #471 | — | 13 | 4 | no | — |
| 532 | #456 | — | 13 | 2 | no | — |
| 533 | #456 | — | 13 | 4 | no | — |
| 534 | #456 | C2×D13 | 1 | 2 | yes | complemented |
| 535 | #455 | — | 13 | 2 | no | — |
| 536 | #455 | — | 13 | 4 | no | — |
| 537 | #455 | C2×D13 | 1 | 2 | yes | complemented |
| 538 | #454 | — | 13 | 2 | no | — |
| 539 | #454 | — | 13 | 4 | no | — |
| 540 | #454 | C2×D13 | 1 | 2 | yes | complemented |
| 541 | #453 | — | 13 | 2 | no | — |
| 542 | #453 | — | 13 | 4 | no | — |
| 543 | #453 | C2×D13 | 1 | 2 | yes | complemented |
| 544 | #443 | — | 13 | 4 | no | — |
| 545 | #443 | — | 13 | 4 | no | — |
| 546 | #443 | — | 13 | 4 | no | — |
| 547 | #443 | — | 13 | 4 | no | — |
| 548 | C2×#108 | — | 13 | 2 | no | — |
| 549 | C2×#104 | — | 13 | 2 | no | — |
| 550 | C2×#104 | C2×D13 | 1 | 2 | yes | complemented |
| 551 | #413 | — | 13 | 1 | no | — |
| 552 | #413 | — | 13 | 2 | no | — |
| 553 | #413 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 554 | C2×C4×C8 | — | 13 | 1 | no | — |
| 555 | C22×C13 | — | 2 | 4 | no | — |
| 556 | C22×C13 | — | 4 | 1 | no | — |
| 557 | C22×C13 | — | 4 | 1 | no | — |
| 558 | C22×C13 | — | 4 | 1 | no | — |
| 559 | C22×C13 | — | 8 | 2 | no | — |
| 560 | C22×C13 | — | 8 | 1 | no | — |
| 561 | C22×C13 | — | 8 | 1 | no | — |
| 562 | C22×C13 | — | 16 | 2 | no | — |
| 563 | C22×C13 | D42 | 1 | 2 | yes | — |
| 564 | C22×C13 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 565 | C2×D13 | — | 2 | 4 | no | — |
| 566 | C2×D13 | — | 4 | 2 | no | — |
| 567 | C2×D13 | — | 8 | 2 | no | — |
| 568 | C2×D13 | — | 8 | 2 | no | — |
| 569 | C2×D13 | — | 16 | 2 | no | — |
| 570 | C2×D13 | — | 16 | 4 | no | — |
| 571 | C4×C13 | — | 2 | 2 | no | — |
| 572 | C4×C13 | — | 2 | 4 | no | — |
| 573 | C4×C13 | — | 4 | 1 | no | — |
| 574 | C4×C13 | — | 4 | 1 | no | — |
| 575 | C4×C13 | — | 4 | 1 | no | — |
| 576 | C4×C13 | D42 | 1 | 1 | yes | characteristic |
| 577 | C4×C13 | D42 | 1 | 1 | yes | characteristic |
| 578 | C4×C13 | C23×D4 | 1 | 2 | yes | — |
| 579 | Dic13 | — | 2 | 4 | no | — |
| 580 | Dic13 | — | 4 | 2 | no | — |
| 581 | 2−1+4 | — | 2 | 2 | no | — |
| 582 | 2−1+4 | — | 13 | 4 | no | — |
| 583 | 2−1+4 | — | 13 | 2 | no | — |
| 584 | 2−1+4 | — | 26 | 2 | no | — |
| 585 | 2−1+4 | — | 26 | 2 | no | — |
| 586 | 2−1+4 | — | 26 | 2 | no | — |
| 587 | 2−1+4 | C22×D13 | 1 | 2 | yes | — |
| 588 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 589 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 590 | H(5,𝔽2) | — | 13 | 4 | no | — |
| 591 | H(5,𝔽2) | — | 13 | 2 | no | — |
| 592 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 593 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 594 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 595 | H(5,𝔽2) | — | 52 | 2 | no | — |
| 596 | H(5,𝔽2) | — | 52 | 1 | no | — |
| 597 | H(5,𝔽2) | C22×D13 | 1 | 2 | yes | — |
| 598 | C2×#41 | — | 2 | 4 | no | — |
| 599 | C2×#41 | — | 4 | 1 | no | — |
| 600 | C2×#41 | — | 13 | 2 | no | — |
| 601 | C2×#41 | — | 13 | 2 | no | — |
| 602 | C2×#41 | — | 26 | 4 | no | — |
| 603 | C2×#41 | — | 26 | 4 | no | — |
| 604 | C2×#41 | — | 26 | 4 | no | — |
| 605 | C2×#41 | — | 52 | 1 | no | — |
| 606 | C2×#41 | — | 52 | 2 | no | — |
| 607 | C2×#41 | C22×D13 | 1 | 2 | yes | — |
| 608 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 609 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 610 | #137 | — | 2 | 2 | no | — |
| 611 | #137 | — | 13 | 4 | no | — |
| 612 | #137 | — | 13 | 4 | no | — |
| 613 | #137 | — | 13 | 4 | no | — |
| 614 | #137 | — | 26 | 2 | no | — |
| 615 | #137 | — | 26 | 4 | no | — |
| 616 | #137 | — | 26 | 4 | no | — |
| 617 | #137 | — | 26 | 4 | no | — |
| 618 | #137 | — | 26 | 4 | no | — |
| 619 | #137 | — | 26 | 4 | no | — |
| 620 | #137 | — | 26 | 4 | no | — |
| 621 | #137 | — | 26 | 4 | no | — |
| 622 | #137 | — | 26 | 4 | no | — |
| 623 | #137 | — | 26 | 2 | no | — |
| 624 | #137 | — | 26 | 2 | no | — |
| 625 | #137 | C22×D13 | 1 | 4 | yes | — |
| 626 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 627 | AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 628 | AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 629 | AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 630 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 631 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 632 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 633 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 634 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 635 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 636 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 637 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 638 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 639 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 640 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 641 | AGL(1,ℤ/8) | C22×D13 | 1 | 4 | yes | — |
| 642 | #135 | — | 2 | 4 | no | — |
| 643 | #135 | — | 13 | 4 | no | — |
| 644 | #135 | — | 13 | 4 | no | — |
| 645 | #135 | — | 13 | 4 | no | — |
| 646 | #135 | — | 13 | 4 | no | — |
| 647 | #135 | — | 26 | 4 | no | — |
| 648 | #135 | — | 26 | 2 | no | — |
| 649 | #135 | — | 26 | 2 | no | — |
| 650 | #135 | — | 26 | 2 | no | — |
| 651 | #135 | — | 26 | 2 | no | — |
| 652 | #135 | — | 26 | 2 | no | — |
| 653 | #135 | — | 26 | 2 | no | — |
| 654 | #135 | — | 26 | 2 | no | — |
| 655 | #135 | — | 26 | 2 | no | — |
| 656 | #135 | — | 26 | 4 | no | — |
| 657 | #135 | — | 26 | 4 | no | — |
| 658 | #135 | — | 26 | 4 | no | — |
| 659 | #135 | — | 26 | 4 | no | — |
| 660 | #135 | — | 26 | 4 | no | — |
| 661 | #135 | — | 26 | 4 | no | — |
| 662 | #135 | — | 26 | 4 | no | — |
| 663 | #135 | — | 26 | 4 | no | — |
| 664 | #135 | — | 26 | 4 | no | — |
| 665 | #135 | — | 26 | 4 | no | — |
| 666 | C2×Q16 | — | 13 | 2 | no | — |
| 667 | C2×Q16 | — | 13 | 2 | no | — |
| 668 | C2×Q16 | — | 13 | 2 | no | — |
| 669 | C2×Q16 | — | 26 | 4 | no | — |
| 670 | C2×Q16 | — | 26 | 4 | no | — |
| 671 | C2×SD16 | — | 13 | 2 | no | — |
| 672 | C2×SD16 | — | 13 | 2 | no | — |
| 673 | C2×SD16 | — | 13 | 2 | no | — |
| 674 | C2×SD16 | — | 13 | 2 | no | — |
| 675 | C2×SD16 | — | 13 | 2 | no | — |
| 676 | C2×SD16 | — | 13 | 2 | no | — |
| 677 | C2×SD16 | — | 26 | 4 | no | — |
| 678 | C2×SD16 | — | 26 | 4 | no | — |
| 679 | C2×SD16 | — | 26 | 4 | no | — |
| 680 | C2×SD16 | — | 26 | 4 | no | — |
| 681 | C2×D8 | — | 13 | 2 | no | — |
| 682 | C2×D8 | — | 13 | 2 | no | — |
| 683 | C2×D8 | — | 13 | 2 | no | — |
| 684 | C2×D8 | — | 26 | 4 | no | — |
| 685 | C2×D8 | — | 26 | 4 | no | — |
| 686 | #131 | — | 13 | 4 | no | — |
| 687 | #131 | — | 13 | 4 | no | — |
| 688 | #131 | — | 13 | 4 | no | — |
| 689 | #131 | — | 13 | 4 | no | — |
| 690 | #131 | — | 26 | 2 | no | — |
| 691 | #131 | — | 26 | 2 | no | — |
| 692 | #131 | — | 26 | 2 | no | — |
| 693 | #131 | — | 26 | 2 | no | — |
| 694 | C2×M16 | — | 13 | 2 | no | — |
| 695 | C2×M16 | — | 26 | 2 | no | — |
| 696 | C2×M16 | — | 26 | 2 | no | — |
| 697 | C2×M16 | C22×D13 | 1 | 2 | yes | — |
| 698 | C22×C8 | — | 13 | 2 | no | — |
| 699 | C22×C8 | — | 26 | 2 | no | — |
| 700 | C22×C8 | — | 26 | 2 | no | — |
| 701 | C4⋊Q8 | — | 13 | 1 | no | — |
| 702 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 703 | #127 | — | 13 | 1 | no | — |
| 704 | #127 | C22×D13 | 1 | 1 | yes | characteristic |
| 705 | #124 | — | 13 | 2 | no | — |
| 706 | #124 | C22×D13 | 1 | 1 | yes | characteristic |
| 707 | #124 | C22×D13 | 1 | 1 | yes | characteristic |
| 708 | #121 | — | 4 | 1 | no | — |
| 709 | #121 | — | 52 | 1 | no | — |
| 710 | C4×D4 | — | 4 | 1 | no | — |
| 711 | C4×D4 | — | 52 | 1 | no | — |
| 712 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 713 | #108 | — | 13 | 4 | no | — |
| 714 | #108 | — | 13 | 4 | no | — |
| 715 | #104 | — | 13 | 4 | no | — |
| 716 | #104 | — | 13 | 4 | no | — |
| 717 | #104 | C22×D13 | 1 | 4 | yes | — |
| 718 | #104 | C22×D13 | 1 | 4 | yes | — |
| 719 | #101 | — | 13 | 2 | no | — |
| 720 | #101 | — | 13 | 4 | no | — |
| 721 | #101 | C22×D13 | 1 | 2 | yes | — |
| 722 | #100 | — | 13 | 2 | no | — |
| 723 | #100 | — | 13 | 4 | no | — |
| 724 | #100 | C22×D13 | 1 | 2 | yes | — |
| 725 | C4×C8 | — | 13 | 1 | no | — |
| 726 | C4×C8 | — | 13 | 1 | no | — |
| 727 | C4×C8 | — | 13 | 2 | no | — |
| 728 | C2×C13 | — | 2 | 1 | no | — |
| 729 | C2×C13 | — | 2 | 2 | no | — |
| 730 | C2×C13 | — | 4 | 4 | no | — |
| 731 | C2×C13 | — | 8 | 1 | no | — |
| 732 | C2×C13 | — | 8 | 1 | no | — |
| 733 | C2×C13 | C2×D42 | 1 | 1 | yes | characteristic |
| 734 | D13 | — | 4 | 4 | no | — |
| 735 | D13 | — | 8 | 2 | no | — |
| 736 | #41 | — | 2 | 2 | no | — |
| 737 | #41 | — | 2 | 2 | no | — |
| 738 | #41 | — | 2 | 4 | no | — |
| 739 | #41 | — | 2 | 4 | no | — |
| 740 | #41 | — | 2 | 2 | no | — |
| 741 | #41 | — | 2 | 2 | no | — |
| 742 | #41 | — | 2 | 2 | no | — |
| 743 | #41 | — | 2 | 2 | no | — |
| 744 | #41 | — | 4 | 2 | no | — |
| 745 | #41 | — | 4 | 2 | no | — |
| 746 | #41 | — | 4 | 4 | no | — |
| 747 | #41 | — | 4 | 2 | no | — |
| 748 | #41 | — | 13 | 4 | no | — |
| 749 | #41 | — | 13 | 4 | no | — |
| 750 | #41 | — | 26 | 4 | no | — |
| 751 | #41 | — | 26 | 4 | no | — |
| 752 | #41 | — | 26 | 2 | no | — |
| 753 | #41 | — | 26 | 2 | no | — |
| 754 | #41 | — | 26 | 4 | no | — |
| 755 | #41 | — | 26 | 4 | no | — |
| 756 | #41 | — | 26 | 4 | no | — |
| 757 | #41 | — | 26 | 4 | no | — |
| 758 | #41 | — | 26 | 2 | no | — |
| 759 | #41 | — | 26 | 2 | no | — |
| 760 | #41 | — | 26 | 2 | no | — |
| 761 | #41 | — | 26 | 2 | no | — |
| 762 | #41 | — | 52 | 4 | no | — |
| 763 | #41 | — | 52 | 2 | no | — |
| 764 | #41 | — | 52 | 4 | no | — |
| 765 | #41 | — | 52 | 2 | no | — |
| 766 | #41 | — | 52 | 2 | no | — |
| 767 | #41 | — | 52 | 4 | no | — |
| 768 | #41 | — | 52 | 4 | no | — |
| 769 | #41 | — | 52 | 4 | no | — |
| 770 | #41 | — | 52 | 2 | no | — |
| 771 | #41 | — | 52 | 2 | no | — |
| 772 | #41 | D4×D13 | 1 | 4 | yes | — |
| 773 | #41 | C23×D13 | 1 | 4 | yes | — |
| 774 | C2×Q8 | — | 2 | 4 | no | — |
| 775 | C2×Q8 | — | 4 | 1 | no | — |
| 776 | C2×Q8 | — | 13 | 2 | no | — |
| 777 | C2×Q8 | — | 13 | 2 | no | — |
| 778 | C2×Q8 | — | 26 | 4 | no | — |
| 779 | C2×Q8 | — | 26 | 4 | no | — |
| 780 | C2×Q8 | — | 26 | 4 | no | — |
| 781 | C2×Q8 | — | 52 | 1 | no | — |
| 782 | C2×Q8 | — | 52 | 2 | no | — |
| 783 | C2×Q8 | D4×D13 | 1 | 2 | yes | — |
| 784 | C2×Q8 | C23×D13 | 1 | 1 | yes | characteristic |
| 785 | C2×Q8 | C23×D13 | 1 | 1 | yes | characteristic |
| 786 | C2×D4 | — | 2 | 2 | no | — |
| 787 | C2×D4 | — | 2 | 4 | no | — |
| 788 | C2×D4 | — | 2 | 1 | no | — |
| 789 | C2×D4 | — | 2 | 1 | no | — |
| 790 | C2×D4 | — | 4 | 1 | no | — |
| 791 | C2×D4 | — | 4 | 2 | no | — |
| 792 | C2×D4 | — | 4 | 1 | no | — |
| 793 | C2×D4 | — | 4 | 4 | no | — |
| 794 | C2×D4 | — | 13 | 2 | no | — |
| 795 | C2×D4 | — | 13 | 2 | no | — |
| 796 | C2×D4 | — | 26 | 4 | no | — |
| 797 | C2×D4 | — | 26 | 4 | no | — |
| 798 | C2×D4 | — | 26 | 2 | no | — |
| 799 | C2×D4 | — | 26 | 4 | no | — |
| 800 | C2×D4 | — | 26 | 2 | no | — |
| 801 | C2×D4 | — | 52 | 1 | no | — |
| 802 | C2×D4 | — | 52 | 1 | no | — |
| 803 | C2×D4 | — | 52 | 4 | no | — |
| 804 | C2×D4 | — | 52 | 2 | no | — |
| 805 | C2×D4 | — | 52 | 4 | no | — |
| 806 | C2×D4 | — | 52 | 4 | no | — |
| 807 | C2×D4 | — | 52 | 2 | no | — |
| 808 | C2×D4 | — | 52 | 4 | no | — |
| 809 | C2×D4 | D4×D13 | 1 | 2 | yes | — |
| 810 | C2×D4 | C23×D13 | 1 | 1 | yes | characteristic |
| 811 | C2×D4 | C23×D13 | 1 | 1 | yes | characteristic |
| 812 | C22×C4 | — | 2 | 2 | no | — |
| 813 | C22×C4 | — | 2 | 1 | no | — |
| 814 | C22×C4 | — | 2 | 1 | no | — |
| 815 | C22×C4 | — | 2 | 1 | no | — |
| 816 | C22×C4 | — | 4 | 2 | no | — |
| 817 | C22×C4 | — | 26 | 2 | no | — |
| 818 | C22×C4 | — | 26 | 2 | no | — |
| 819 | C22×C4 | — | 52 | 4 | no | — |
| 820 | C22×C4 | — | 52 | 2 | no | — |
| 821 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 822 | Q16 | — | 2 | 4 | no | — |
| 823 | Q16 | — | 13 | 4 | no | — |
| 824 | Q16 | — | 13 | 4 | no | — |
| 825 | Q16 | — | 26 | 4 | no | — |
| 826 | Q16 | — | 26 | 2 | no | — |
| 827 | Q16 | — | 26 | 2 | no | — |
| 828 | Q16 | — | 26 | 2 | no | — |
| 829 | Q16 | — | 26 | 2 | no | — |
| 830 | Q16 | — | 26 | 4 | no | — |
| 831 | Q16 | — | 26 | 4 | no | — |
| 832 | SD16 | — | 2 | 4 | no | — |
| 833 | SD16 | — | 2 | 4 | no | — |
| 834 | SD16 | — | 13 | 4 | no | — |
| 835 | SD16 | — | 13 | 4 | no | — |
| 836 | SD16 | — | 13 | 4 | no | — |
| 837 | SD16 | — | 13 | 4 | no | — |
| 838 | SD16 | — | 26 | 4 | no | — |
| 839 | SD16 | — | 26 | 4 | no | — |
| 840 | SD16 | — | 26 | 2 | no | — |
| 841 | SD16 | — | 26 | 2 | no | — |
| 842 | SD16 | — | 26 | 2 | no | — |
| 843 | SD16 | — | 26 | 2 | no | — |
| 844 | SD16 | — | 26 | 2 | no | — |
| 845 | SD16 | — | 26 | 2 | no | — |
| 846 | SD16 | — | 26 | 2 | no | — |
| 847 | SD16 | — | 26 | 2 | no | — |
| 848 | SD16 | — | 26 | 4 | no | — |
| 849 | SD16 | — | 26 | 4 | no | — |
| 850 | SD16 | — | 26 | 4 | no | — |
| 851 | SD16 | — | 26 | 4 | no | — |
| 852 | D8 | — | 2 | 4 | no | — |
| 853 | D8 | — | 13 | 4 | no | — |
| 854 | D8 | — | 13 | 4 | no | — |
| 855 | D8 | — | 26 | 4 | no | — |
| 856 | D8 | — | 26 | 2 | no | — |
| 857 | D8 | — | 26 | 2 | no | — |
| 858 | D8 | — | 26 | 2 | no | — |
| 859 | D8 | — | 26 | 2 | no | — |
| 860 | D8 | — | 26 | 4 | no | — |
| 861 | D8 | — | 26 | 4 | no | — |
| 862 | M16 | — | 2 | 2 | no | — |
| 863 | M16 | — | 13 | 4 | no | — |
| 864 | M16 | — | 26 | 4 | no | — |
| 865 | M16 | — | 26 | 4 | no | — |
| 866 | M16 | — | 26 | 4 | no | — |
| 867 | M16 | — | 26 | 4 | no | — |
| 868 | M16 | — | 26 | 2 | no | — |
| 869 | M16 | C23×D13 | 1 | 4 | yes | — |
| 870 | C2×C8 | — | 2 | 2 | no | — |
| 871 | C2×C8 | — | 13 | 2 | no | — |
| 872 | C2×C8 | — | 13 | 2 | no | — |
| 873 | C2×C8 | — | 13 | 2 | no | — |
| 874 | C2×C8 | — | 13 | 2 | no | — |
| 875 | C2×C8 | — | 13 | 2 | no | — |
| 876 | C2×C8 | — | 13 | 2 | no | — |
| 877 | C2×C8 | — | 26 | 4 | no | — |
| 878 | C2×C8 | — | 26 | 4 | no | — |
| 879 | C2×C8 | — | 26 | 4 | no | — |
| 880 | C2×C8 | — | 26 | 4 | no | — |
| 881 | C2×C8 | — | 26 | 2 | no | — |
| 882 | C4⋊C4 | — | 4 | 1 | no | — |
| 883 | C4⋊C4 | — | 52 | 1 | no | — |
| 884 | C22⋊C4 | — | 4 | 1 | no | — |
| 885 | C22⋊C4 | — | 4 | 1 | no | — |
| 886 | C22⋊C4 | — | 52 | 2 | no | — |
| 887 | C42 | — | 2 | 1 | no | — |
| 888 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 889 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 890 | C13 | #61105 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 891 | C23 | — | 2 | 2 | no | — |
| 892 | C23 | — | 2 | 1 | no | — |
| 893 | C23 | — | 2 | 1 | no | — |
| 894 | C23 | — | 4 | 2 | no | — |
| 895 | C23 | — | 26 | 2 | no | — |
| 896 | C23 | — | 26 | 2 | no | — |
| 897 | C23 | — | 52 | 4 | no | — |
| 898 | C23 | — | 52 | 2 | no | — |
| 899 | C23 | #88251 | 1 | 1 | yes | characteristic |
| 900 | Q8 | — | 2 | 2 | no | — |
| 901 | Q8 | — | 2 | 2 | no | — |
| 902 | Q8 | — | 2 | 2 | no | — |
| 903 | Q8 | — | 4 | 2 | no | — |
| 904 | Q8 | — | 13 | 4 | no | — |
| 905 | Q8 | — | 26 | 2 | no | — |
| 906 | Q8 | — | 26 | 2 | no | — |
| 907 | Q8 | — | 26 | 2 | no | — |
| 908 | Q8 | — | 52 | 4 | no | — |
| 909 | Q8 | — | 52 | 2 | no | — |
| 910 | Q8 | C2×D4×D13 | 1 | 4 | yes | — |
| 911 | D4 | — | 2 | 4 | no | — |
| 912 | D4 | — | 2 | 4 | no | — |
| 913 | D4 | — | 2 | 2 | no | — |
| 914 | D4 | — | 2 | 2 | no | — |
| 915 | D4 | — | 2 | 2 | no | — |
| 916 | D4 | — | 4 | 4 | no | — |
| 917 | D4 | — | 4 | 2 | no | — |
| 918 | D4 | — | 4 | 2 | no | — |
| 919 | D4 | — | 4 | 2 | no | — |
| 920 | D4 | — | 8 | 2 | no | — |
| 921 | D4 | — | 13 | 4 | no | — |
| 922 | D4 | — | 26 | 4 | no | — |
| 923 | D4 | — | 26 | 4 | no | — |
| 924 | D4 | — | 26 | 2 | no | — |
| 925 | D4 | — | 26 | 2 | no | — |
| 926 | D4 | — | 26 | 2 | no | — |
| 927 | D4 | — | 52 | 4 | no | — |
| 928 | D4 | — | 52 | 2 | no | — |
| 929 | D4 | — | 52 | 4 | no | — |
| 930 | D4 | — | 52 | 4 | no | — |
| 931 | D4 | — | 52 | 4 | no | — |
| 932 | D4 | — | 52 | 2 | no | — |
| 933 | D4 | — | 52 | 2 | no | — |
| 934 | D4 | — | 104 | 2 | no | — |
| 935 | D4 | C2×D4×D13 | 1 | 4 | yes | — |
| 936 | C2×C4 | — | 2 | 2 | no | — |
| 937 | C2×C4 | — | 2 | 1 | no | — |
| 938 | C2×C4 | — | 2 | 4 | no | — |
| 939 | C2×C4 | — | 2 | 4 | no | — |
| 940 | C2×C4 | — | 2 | 1 | no | — |
| 941 | C2×C4 | — | 2 | 1 | no | — |
| 942 | C2×C4 | — | 2 | 1 | no | — |
| 943 | C2×C4 | — | 4 | 2 | no | — |
| 944 | C2×C4 | — | 4 | 4 | no | — |
| 945 | C2×C4 | — | 4 | 2 | no | — |
| 946 | C2×C4 | — | 4 | 1 | no | — |
| 947 | C2×C4 | — | 4 | 1 | no | — |
| 948 | C2×C4 | — | 4 | 1 | no | — |
| 949 | C2×C4 | — | 4 | 1 | no | — |
| 950 | C2×C4 | — | 26 | 2 | no | — |
| 951 | C2×C4 | — | 26 | 4 | no | — |
| 952 | C2×C4 | — | 26 | 4 | no | — |
| 953 | C2×C4 | — | 26 | 2 | no | — |
| 954 | C2×C4 | — | 52 | 4 | no | — |
| 955 | C2×C4 | — | 52 | 4 | no | — |
| 956 | C2×C4 | — | 52 | 4 | no | — |
| 957 | C2×C4 | — | 52 | 2 | no | — |
| 958 | C2×C4 | — | 52 | 4 | no | — |
| 959 | C2×C4 | — | 52 | 2 | no | — |
| 960 | C2×C4 | — | 52 | 2 | no | — |
| 961 | C2×C4 | C2×D4×D13 | 1 | 2 | yes | — |
| 962 | C2×C4 | C2×D4×D13 | 1 | 2 | yes | — |
| 963 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 964 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 965 | C8 | — | 2 | 4 | no | — |
| 966 | C8 | — | 13 | 2 | no | — |
| 967 | C8 | — | 13 | 2 | no | — |
| 968 | C8 | — | 13 | 2 | no | — |
| 969 | C8 | — | 13 | 2 | no | — |
| 970 | C8 | — | 26 | 4 | no | — |
| 971 | C22 | — | 2 | 4 | no | — |
| 972 | C22 | — | 4 | 1 | no | — |
| 973 | C22 | — | 4 | 1 | no | — |
| 974 | C22 | — | 4 | 1 | no | — |
| 975 | C22 | — | 8 | 2 | no | — |
| 976 | C22 | — | 8 | 1 | no | — |
| 977 | C22 | — | 8 | 1 | no | — |
| 978 | C22 | — | 16 | 2 | no | — |
| 979 | C22 | — | 26 | 4 | no | — |
| 980 | C22 | — | 52 | 2 | no | — |
| 981 | C22 | — | 104 | 2 | no | — |
| 982 | C22 | — | 104 | 2 | no | — |
| 983 | C22 | — | 208 | 4 | no | — |
| 984 | C22 | — | 208 | 2 | no | — |
| 985 | C22 | #11719295 | 1 | 2 | yes | — |
| 986 | C22 | C2×#88251 | 1 | 1 | yes | characteristic |
| 987 | C4 | — | 2 | 2 | no | — |
| 988 | C4 | — | 2 | 4 | no | — |
| 989 | C4 | — | 4 | 1 | no | — |
| 990 | C4 | — | 4 | 1 | no | — |
| 991 | C4 | — | 4 | 1 | no | — |
| 992 | C4 | — | 26 | 4 | no | — |
| 993 | C4 | — | 52 | 2 | no | — |
| 994 | C4 | #11719295 | 1 | 1 | yes | characteristic |
| 995 | C4 | #11719295 | 1 | 1 | yes | characteristic |
| 996 | C4 | C22×D4×D13 | 1 | 2 | yes | — |
| 997 | C2 | — | 2 | 1 | no | — |
| 998 | C2 | — | 2 | 2 | no | — |
| 999 | C2 | — | 4 | 4 | no | — |
| 1000 | C2 | — | 8 | 1 | no | — |
| 1001 | C2 | — | 8 | 1 | no | — |
| 1002 | C2 | — | 52 | 4 | no | — |
| 1003 | C2 | — | 104 | 2 | no | — |
| 1004 | C2 | C2×#11719295 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129609 | C2 | semidirect |
| 2. #13129607 | C2 | semidirect |
| 3. #13126637 | C2 | semidirect |
| 4. #13126632 | C2 | semidirect |
| 5. #13126631 | C2 | semidirect |
| 6. #13126626 | C2 | semidirect |
| 7. #13126620 | C2 | semidirect |
| 8. #13126615 | C2 | semidirect |
| 9. #13125262 | C2 | semidirect |
| 10. #13124555 | C2 | semidirect |
| 11. #13124553 | C2 | semidirect |
| 12. #13124187 | C2 | semidirect |
| 13. #13124184 | C2 | semidirect |
| 14. C2×#11718485 | C2 | semidirect |
| 15. C13×#3018 | C2 | semidirect |
| 16. C13×#585 | C22 | semidirect |
| 17. #11719648 | C22 | semidirect |
| 18. #11719648 | C22 | semidirect |
| 19. C13×#575 | C22 | semidirect |
| 20. C13×#532 | C22 | semidirect |
| 22. #11719543 | C22 | semidirect |
| 24. #11719542 | C22 | semidirect |
| 26. #11719541 | C22 | semidirect |
| 28. #11719540 | C22 | semidirect |
| 30. #11719527 | C22 | semidirect |
| 31. #11719527 | C22 | semidirect |
| 34. C2×#88204 | C22 | semidirect |
| 35. C2×#88204 | C22 | semidirect |
| 36. C2×#88202 | C22 | semidirect |
| 38. #11719484 | C22 | semidirect |
| 40. #11719483 | C22 | semidirect |
| 42. #11719480 | C22 | semidirect |
| 44. #11719479 | C22 | semidirect |
| 47. #11719453 | C22 | semidirect |
| 48. C2×#88161 | C22 | semidirect |
| 49. #11719182 | C22 | semidirect |
| 50. C13×#456 | C22 | semidirect |
| 51. C13×#455 | C22 | semidirect |
| 52. C13×#454 | C22 | semidirect |
| 53. C13×#453 | C22 | semidirect |
| 54. C2×C13×#104 | C22 | semidirect |
| 55. C13×#413 | C22 | semidirect |
| 56. #11718898 | C22 | semidirect |
| 57. #11718865 | C22 | semidirect |
| 58. #11718864 | C22 | semidirect |
| 59. #11718861 | C22 | semidirect |
| 60. #11718860 | C22 | semidirect |
| 61. #11718793 | C22 | semidirect |
| 62. C2×#88062 | C22 | semidirect |
| 63. #11718756 | C22 | semidirect |
| 64. #11718753 | C22 | semidirect |
| 65. #11718746 | C22 | semidirect |
| 66. #11718738 | C22 | semidirect |
| 67. #11718737 | C22 | semidirect |
| 68. #11718734 | C22 | semidirect |
| 69. #11718723 | C22 | semidirect |
| 70. #11718722 | C22 | semidirect |
| 71. #11718720 | C22 | semidirect |
| 72. #11718720 | C22 | semidirect |
| 73. C2×#88045 | C22 | semidirect |
| 74. C2×C4×#1055 | C22 | semidirect |
| 75. #11718488 | C22 | semidirect |
| 76. #11718487 | C22 | semidirect |
| 77. #11718486 | C22 | semidirect |
| 78. #11718485 | C22 | semidirect |
| 79. #11718485 | C22 | semidirect |
| 80. #11718485 | C22 | semidirect |
| 81. #11718485 | C22 | semidirect |
| 82. #11718483 | C22 | semidirect |
| 83. #11718416 | C22 | semidirect |
| 84. #11718415 | C22 | semidirect |
| 85. #11718410 | C22 | semidirect |
| 86. #11718409 | C22 | semidirect |
| 147. #88204 | D4 | semidirect |
| 148. #88204 | D4 | semidirect |
| 160. C2×#6107 | D4 | semidirect |
| 168. C2×#6106 | D4 | semidirect |
| 172. C2×#6105 | D4 | semidirect |
| 180. C2×#6104 | D4 | semidirect |
| 402. #3018 | D13 | semidirect |
| 486. #585 | C2×D13 | semidirect |
| 508. #575 | C2×D13 | semidirect |
| 517. #532 | C2×D13 | semidirect |
| 534. #456 | C2×D13 | semidirect |
| 537. #455 | C2×D13 | semidirect |
| 540. #454 | C2×D13 | semidirect |
| 543. #453 | C2×D13 | semidirect |
| 550. C2×#104 | C2×D13 | semidirect |
| 553. #413 | C2×D13 | semidirect |
| 890. C13 | #61105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129609 | 2 |
| #13129607 | 2 |
| #13126637 | 2 |
| #13126632 | 2 |
| #13126631 | 2 |
| #13126626 | 2 |
| #13126620 | 2 |
| #13126615 | 2 |
| #13125262 | 2 |
| #13124555 | 2 |
| #13124553 | 2 |
| #13124187 | 2 |
| #13124184 | 2 |
| C2×#11718485 | 2 |
| C13×#3018 | 2 |
| #61105 | 13 |