Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1024 conjugacy classes of subgroups.
The subgroup lattice has 814 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #14542923 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14539802 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14539234 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #14528081 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #14528076 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #14528075 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #14528072 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #14527418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #14527392 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #14527391 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C17×#3217 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#10587618 | — | 2 | 1 | no | — |
| 13 | C2×#10587618 | — | 2 | 1 | no | — |
| 14 | #11763563 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #11763561 | — | 2 | 1 | no | — |
| 16 | #11763557 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11763556 | — | 2 | 1 | no | — |
| 18 | #11763555 | — | 2 | 1 | no | — |
| 19 | #11763553 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #11763551 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #11763550 | — | 2 | 1 | no | — |
| 22 | #11763549 | — | 2 | 1 | no | — |
| 23 | #11763547 | — | 2 | 1 | no | — |
| 24 | #11763359 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11763356 | — | 2 | 1 | no | — |
| 26 | #11763346 | — | 2 | 1 | no | — |
| 27 | #11763343 | C22 | 1 | 1 | yes | characteristic |
| 28 | #11763337 | — | 2 | 1 | no | — |
| 29 | #11763321 | — | 2 | 1 | no | — |
| 30 | #11763318 | — | 2 | 1 | no | — |
| 31 | #11763318 | — | 2 | 1 | no | — |
| 32 | #11763196 | C22 | 1 | 2 | yes | — |
| 33 | #11763196 | C22 | 1 | 2 | yes | — |
| 34 | #11763196 | C22 | 1 | 2 | yes | complemented |
| 35 | #11763185 | — | 2 | 1 | no | — |
| 36 | #11763181 | — | 2 | 1 | no | — |
| 37 | #11763173 | C22 | 1 | 2 | yes | complemented |
| 38 | #11763006 | — | 2 | 1 | no | — |
| 39 | #11763001 | — | 2 | 1 | no | — |
| 40 | #11762960 | — | 2 | 1 | no | — |
| 41 | #11762943 | — | 2 | 1 | no | — |
| 42 | #11762866 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C4×#63223 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #11762551 | C22 | 1 | 2 | yes | complemented |
| 45 | #11762550 | C22 | 1 | 2 | yes | complemented |
| 46 | #11762549 | C22 | 1 | 2 | yes | complemented |
| 47 | #11762548 | C22 | 1 | 2 | yes | complemented |
| 48 | #11762548 | C22 | 1 | 2 | yes | complemented |
| 49 | #11762548 | C22 | 1 | 2 | yes | complemented |
| 50 | C2×C17×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C17×#529 | C22 | 1 | 1 | yes | characteristic |
| 52 | C17×#496 | C22 | 1 | 2 | yes | — |
| 53 | C17×#490 | C22 | 1 | 2 | yes | complemented |
| 54 | C17×#460 | — | 2 | 1 | no | — |
| 55 | C17×#459 | — | 2 | 1 | no | — |
| 56 | C17×#450 | — | 2 | 1 | no | — |
| 57 | C17×#447 | — | 2 | 1 | no | — |
| 58 | C17×#432 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C22×D4×C17 | — | 2 | 1 | no | — |
| 60 | C22×D4×C17 | — | 2 | 1 | no | — |
| 61 | C22×D4×C17 | — | 2 | 1 | no | — |
| 62 | C2×#63252 | — | 2 | 1 | no | — |
| 63 | C2×#63252 | D4 | 1 | 1 | yes | characteristic |
| 64 | C2×#63252 | D4 | 1 | 1 | yes | characteristic |
| 65 | C22×C4×D17 | — | 2 | 1 | no | — |
| 66 | C2×SD16×C17 | — | 2 | 2 | no | — |
| 67 | C2×D8×C17 | — | 2 | 2 | no | — |
| 68 | C17×#127 | — | 2 | 1 | no | — |
| 69 | C17×#127 | — | 2 | 1 | no | — |
| 70 | C17×#127 | — | 2 | 1 | no | — |
| 71 | C17×#127 | C23 | 1 | 2 | yes | — |
| 72 | C17×#126 | — | 2 | 1 | no | — |
| 73 | C17×#125 | C23 | 1 | 1 | yes | characteristic |
| 74 | C17×#124 | C23 | 1 | 1 | yes | characteristic |
| 75 | C17×#123 | — | 2 | 1 | no | — |
| 76 | C17×C22⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 77 | C17×#121 | D4 | 1 | 1 | yes | characteristic |
| 78 | C4×Q8×C17 | D4 | 1 | 1 | yes | characteristic |
| 79 | C4×D4×C17 | — | 2 | 1 | no | — |
| 80 | C4×D4×C17 | D4 | 1 | 1 | yes | characteristic |
| 81 | C17×#117 | — | 2 | 1 | no | — |
| 82 | C2×C42×C17 | C23 | 1 | 1 | yes | characteristic |
| 83 | #10587633 | — | 2 | 1 | no | — |
| 84 | #10587632 | — | 2 | 1 | no | — |
| 85 | #10587626 | — | 2 | 1 | no | — |
| 86 | #10587625 | — | 2 | 1 | no | — |
| 87 | #10587625 | — | 2 | 1 | no | — |
| 88 | #10587624 | — | 2 | 1 | no | — |
| 89 | #10587623 | — | 2 | 1 | no | — |
| 90 | #10587623 | — | 2 | 1 | no | — |
| 91 | C2×#63229 | — | 2 | 2 | no | — |
| 92 | C2×#63229 | — | 2 | 2 | no | — |
| 93 | C2×#63229 | — | 2 | 2 | no | — |
| 94 | #10587618 | — | 4 | 4 | no | — |
| 95 | #10587618 | — | 4 | 4 | no | — |
| 96 | C2×#63228 | — | 2 | 2 | no | — |
| 97 | C2×#63228 | — | 2 | 2 | no | — |
| 98 | C2×#63228 | — | 2 | 2 | no | — |
| 99 | #10587616 | — | 2 | 1 | no | — |
| 100 | #10587616 | — | 2 | 1 | no | — |
| 101 | #10587616 | D4 | 1 | 1 | yes | characteristic |
| 102 | #10587615 | — | 2 | 1 | no | — |
| 103 | C4×C22⋊D17 | — | 2 | 1 | no | — |
| 104 | C4×C22⋊D17 | — | 2 | 1 | no | — |
| 105 | C4×C22⋊D17 | — | 2 | 1 | no | — |
| 106 | #10587610 | D4 | 1 | 1 | yes | characteristic |
| 107 | C2×#63223 | — | 2 | 1 | no | — |
| 108 | #10587584 | — | 2 | 1 | no | — |
| 109 | #10587584 | — | 2 | 1 | no | — |
| 110 | #10587584 | — | 2 | 1 | no | — |
| 111 | #10587583 | — | 2 | 1 | no | — |
| 112 | #10587583 | — | 2 | 1 | no | — |
| 113 | #10587582 | — | 2 | 1 | no | — |
| 114 | #10587582 | — | 2 | 1 | no | — |
| 115 | #10587582 | — | 2 | 1 | no | — |
| 116 | #10587581 | — | 2 | 1 | no | — |
| 117 | #10587581 | — | 2 | 1 | no | — |
| 118 | #10587581 | — | 2 | 1 | no | — |
| 119 | #10587581 | — | 2 | 1 | no | — |
| 120 | #10587580 | — | 2 | 1 | no | — |
| 121 | #10587580 | — | 2 | 1 | no | — |
| 122 | #10587580 | — | 2 | 1 | no | — |
| 123 | #10587580 | — | 2 | 1 | no | — |
| 124 | #10587580 | — | 2 | 1 | no | — |
| 125 | #10587576 | — | 2 | 1 | no | — |
| 126 | #10587575 | — | 2 | 1 | no | — |
| 127 | #10587574 | — | 2 | 1 | no | — |
| 128 | #10587572 | — | 2 | 1 | no | — |
| 129 | #10587572 | — | 2 | 1 | no | — |
| 130 | #10587571 | — | 2 | 1 | no | — |
| 131 | #10587571 | — | 2 | 1 | no | — |
| 132 | #10587571 | — | 2 | 1 | no | — |
| 133 | #10587570 | — | 2 | 1 | no | — |
| 134 | #10587570 | — | 2 | 1 | no | — |
| 135 | #10587570 | — | 2 | 1 | no | — |
| 136 | #10587570 | — | 2 | 1 | no | — |
| 137 | #10587570 | — | 2 | 1 | no | — |
| 138 | #10587569 | — | 2 | 1 | no | — |
| 139 | #10587569 | — | 2 | 1 | no | — |
| 140 | #10587569 | — | 2 | 1 | no | — |
| 141 | #10587568 | — | 2 | 1 | no | — |
| 142 | #10587568 | — | 2 | 1 | no | — |
| 143 | #10587568 | — | 2 | 1 | no | — |
| 144 | #10587568 | — | 2 | 1 | no | — |
| 145 | #10587565 | — | 2 | 1 | no | — |
| 146 | #10587564 | — | 2 | 1 | no | — |
| 147 | #10587564 | — | 2 | 1 | no | — |
| 148 | #10587562 | — | 2 | 1 | no | — |
| 149 | #10587561 | C23 | 1 | 1 | yes | characteristic |
| 150 | #10587561 | C23 | 1 | 1 | yes | characteristic |
| 151 | #10587561 | C23 | 1 | 1 | yes | characteristic |
| 152 | #10587560 | D4 | 1 | 1 | yes | characteristic |
| 153 | C4×D68 | — | 2 | 1 | no | — |
| 154 | C4×D68 | — | 2 | 1 | no | — |
| 155 | C4×D68 | — | 2 | 1 | no | — |
| 156 | C4×D68 | — | 2 | 1 | no | — |
| 157 | C4×D68 | D4 | 1 | 1 | yes | characteristic |
| 158 | #10587558 | — | 2 | 1 | no | — |
| 159 | #10587558 | — | 2 | 1 | no | — |
| 160 | C42×D17 | — | 2 | 1 | no | — |
| 161 | #10587556 | C23 | 1 | 1 | yes | characteristic |
| 162 | #10587555 | D4 | 1 | 1 | yes | characteristic |
| 163 | C4×Dic34 | D4 | 1 | 1 | yes | characteristic |
| 164 | C17×C4⋊C8 | — | 2 | 1 | no | — |
| 165 | C17×#102 | — | 2 | 2 | no | — |
| 166 | C17×#102 | — | 2 | 2 | no | — |
| 167 | C17×C22⋊C8 | — | 2 | 1 | no | — |
| 168 | C17×#97 | C23 | 1 | 2 | yes | — |
| 169 | #10587503 | — | 2 | 2 | no | — |
| 170 | #10587503 | — | 2 | 2 | no | — |
| 171 | C22⋊#3622 | — | 2 | 1 | no | — |
| 172 | C4⋊#3622 | — | 2 | 1 | no | — |
| 173 | #10587474 | C23 | 1 | 2 | yes | — |
| 174 | #10587474 | C23 | 1 | 2 | yes | — |
| 175 | C4×#3622 | — | 2 | 1 | no | — |
| 176 | C24×C17 | — | 4 | 1 | no | — |
| 177 | C23×D17 | — | 2 | 1 | no | — |
| 178 | C2×Q8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×D4×C17 | — | 2 | 1 | no | — |
| 180 | C2×D4×C17 | — | 2 | 2 | no | — |
| 181 | C2×D4×C17 | — | 2 | 2 | no | — |
| 182 | C2×D4×C17 | — | 2 | 2 | no | — |
| 183 | C2×D4×C17 | — | 4 | 2 | no | — |
| 184 | C2×D4×C17 | — | 4 | 2 | no | — |
| 185 | C2×D4×C17 | — | 4 | 1 | no | — |
| 186 | C2×D4×C17 | — | 4 | 1 | no | — |
| 187 | C2×D4×C17 | — | 4 | 1 | no | — |
| 188 | C2×D4×C17 | — | 8 | 2 | no | — |
| 189 | C2×D4×C17 | — | 8 | 2 | no | — |
| 190 | C2×D4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C22×C4×C17 | — | 2 | 1 | no | — |
| 192 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 196 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 197 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 198 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 199 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 200 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 201 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 202 | C22×Dic17 | — | 2 | 1 | no | — |
| 203 | #63252 | — | 4 | 2 | no | — |
| 204 | #63252 | — | 4 | 2 | no | — |
| 205 | #63252 | — | 8 | 2 | no | — |
| 206 | C2×D68 | — | 2 | 1 | no | — |
| 207 | C2×D68 | — | 2 | 1 | no | — |
| 208 | C2×D68 | — | 2 | 1 | no | — |
| 209 | C2×D68 | — | 2 | 1 | no | — |
| 210 | C2×D68 | — | 2 | 1 | no | — |
| 211 | C2×D68 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×D68 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C2×D68 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C2×C4×D17 | — | 2 | 1 | no | — |
| 215 | C2×C4×D17 | — | 2 | 1 | no | — |
| 216 | C2×C4×D17 | — | 2 | 1 | no | — |
| 217 | C2×C4×D17 | — | 2 | 1 | no | — |
| 218 | C2×C4×D17 | — | 2 | 1 | no | — |
| 219 | C2×C4×D17 | — | 2 | 1 | no | — |
| 220 | C2×C4×D17 | — | 2 | 1 | no | — |
| 221 | C2×C4×D17 | — | 8 | 2 | no | — |
| 222 | C2×Dic34 | — | 2 | 1 | no | — |
| 223 | C2×Dic34 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C2×Dic34 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C2×Dic34 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | SD16×C17 | — | 8 | 2 | no | — |
| 227 | D8×C17 | — | 8 | 2 | no | — |
| 228 | C2×C8×C17 | — | 2 | 2 | no | — |
| 229 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 230 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 231 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 232 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 233 | C4⋊C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C4⋊C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C22⋊C4×C17 | — | 2 | 1 | no | — |
| 236 | C22⋊C4×C17 | — | 2 | 1 | no | — |
| 237 | C22⋊C4×C17 | — | 2 | 1 | no | — |
| 238 | C22⋊C4×C17 | — | 2 | 1 | no | — |
| 239 | C22⋊C4×C17 | — | 2 | 1 | no | — |
| 240 | C42×C17 | — | 2 | 1 | no | — |
| 241 | C42×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C42×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C42×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 245 | C22⋊Dic17 | — | 2 | 1 | no | — |
| 246 | C22⋊Dic17 | — | 2 | 1 | no | — |
| 247 | C22⋊Dic17 | — | 2 | 1 | no | — |
| 248 | #63229 | — | 4 | 4 | no | — |
| 249 | #63229 | — | 4 | 4 | no | — |
| 250 | #63229 | — | 8 | 2 | no | — |
| 251 | #63228 | — | 4 | 4 | no | — |
| 252 | #63228 | — | 4 | 4 | no | — |
| 253 | #63228 | — | 8 | 2 | no | — |
| 254 | #63227 | — | 2 | 1 | no | — |
| 255 | #63227 | — | 2 | 1 | no | — |
| 256 | #63227 | — | 2 | 1 | no | — |
| 257 | #63227 | — | 2 | 1 | no | — |
| 258 | #63227 | — | 2 | 1 | no | — |
| 259 | #63227 | — | 2 | 1 | no | — |
| 260 | #63227 | — | 2 | 1 | no | — |
| 261 | #63227 | — | 2 | 1 | no | — |
| 262 | #63227 | — | 2 | 1 | no | — |
| 263 | #63227 | — | 2 | 1 | no | — |
| 264 | #63227 | — | 2 | 1 | no | — |
| 265 | #63227 | — | 2 | 1 | no | — |
| 266 | #63227 | — | 2 | 1 | no | — |
| 267 | #63227 | — | 2 | 1 | no | — |
| 268 | #63227 | — | 2 | 1 | no | — |
| 269 | #63227 | — | 2 | 1 | no | — |
| 270 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 271 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 272 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 273 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 274 | C4⋊Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C4⋊Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | #63225 | — | 2 | 1 | no | — |
| 277 | #63225 | — | 2 | 1 | no | — |
| 278 | #63225 | — | 2 | 1 | no | — |
| 279 | #63225 | — | 2 | 1 | no | — |
| 280 | #63225 | — | 2 | 1 | no | — |
| 281 | #63225 | — | 2 | 1 | no | — |
| 282 | #63225 | — | 2 | 1 | no | — |
| 283 | #63225 | — | 2 | 1 | no | — |
| 284 | C4×Dic17 | — | 2 | 1 | no | — |
| 285 | C4×Dic17 | — | 2 | 1 | no | — |
| 286 | C4×Dic17 | — | 2 | 1 | no | — |
| 287 | #63223 | — | 2 | 4 | no | — |
| 288 | C2×#3622 | — | 2 | 2 | no | — |
| 289 | C2×#3622 | — | 2 | 2 | no | — |
| 290 | #18995 | — | 17 | 1 | no | maximal, Sylow |
| 291 | C23×C17 | — | 2 | 1 | no | — |
| 292 | C23×C17 | — | 4 | 2 | no | — |
| 293 | C23×C17 | — | 8 | 2 | no | — |
| 294 | C23×C17 | — | 8 | 2 | no | — |
| 295 | C23×C17 | — | 8 | 2 | no | — |
| 296 | C23×C17 | #120 | 1 | 1 | yes | characteristic |
| 297 | C22×D17 | — | 2 | 1 | no | — |
| 298 | C22×D17 | — | 2 | 1 | no | — |
| 299 | C22×D17 | — | 2 | 1 | no | — |
| 300 | C22×D17 | — | 8 | 1 | no | — |
| 301 | C22×D17 | — | 8 | 1 | no | — |
| 302 | C22×D17 | — | 8 | 1 | no | — |
| 303 | Q8×C17 | — | 4 | 1 | no | — |
| 304 | D4×C17 | — | 4 | 1 | no | — |
| 305 | D4×C17 | — | 4 | 2 | no | — |
| 306 | D4×C17 | — | 4 | 2 | no | — |
| 307 | D4×C17 | — | 4 | 2 | no | — |
| 308 | D4×C17 | — | 4 | 2 | no | — |
| 309 | D4×C17 | — | 4 | 2 | no | — |
| 310 | D4×C17 | — | 4 | 2 | no | — |
| 311 | D4×C17 | — | 8 | 2 | no | — |
| 312 | D4×C17 | — | 8 | 2 | no | — |
| 313 | D4×C17 | — | 8 | 1 | no | — |
| 314 | D4×C17 | — | 8 | 2 | no | — |
| 315 | C2×C4×C17 | — | 2 | 2 | no | — |
| 316 | C2×C4×C17 | — | 2 | 1 | no | — |
| 317 | C2×C4×C17 | — | 2 | 1 | no | — |
| 318 | C2×C4×C17 | — | 2 | 1 | no | — |
| 319 | C2×C4×C17 | — | 4 | 1 | no | — |
| 320 | C2×C4×C17 | — | 4 | 1 | no | — |
| 321 | C2×C4×C17 | — | 4 | 2 | no | — |
| 322 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 323 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 324 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 325 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 326 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 327 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 328 | C22⋊D17 | — | 8 | 1 | no | — |
| 329 | C22⋊D17 | — | 8 | 1 | no | — |
| 330 | C22⋊D17 | — | 8 | 1 | no | — |
| 331 | C22⋊D17 | — | 8 | 1 | no | — |
| 332 | C22⋊D17 | — | 8 | 1 | no | — |
| 333 | C22⋊D17 | — | 8 | 1 | no | — |
| 334 | C22⋊D17 | — | 8 | 1 | no | — |
| 335 | C2×Dic17 | — | 2 | 1 | no | — |
| 336 | C2×Dic17 | — | 2 | 1 | no | — |
| 337 | C2×Dic17 | — | 2 | 1 | no | — |
| 338 | C2×Dic17 | — | 2 | 1 | no | — |
| 339 | C2×Dic17 | — | 2 | 1 | no | — |
| 340 | C2×Dic17 | — | 8 | 1 | no | — |
| 341 | D68 | — | 4 | 1 | no | — |
| 342 | D68 | — | 4 | 1 | no | — |
| 343 | D68 | — | 4 | 1 | no | — |
| 344 | D68 | — | 8 | 1 | no | — |
| 345 | D68 | — | 8 | 1 | no | — |
| 346 | D68 | — | 8 | 1 | no | — |
| 347 | D68 | — | 8 | 1 | no | — |
| 348 | D68 | — | 8 | 1 | no | — |
| 349 | C4×D17 | — | 4 | 2 | no | — |
| 350 | C4×D17 | — | 4 | 2 | no | — |
| 351 | C4×D17 | — | 4 | 2 | no | — |
| 352 | C4×D17 | — | 8 | 1 | no | — |
| 353 | C4×D17 | — | 8 | 1 | no | — |
| 354 | C4×D17 | — | 8 | 1 | no | — |
| 355 | C4×D17 | — | 8 | 1 | no | — |
| 356 | Dic34 | — | 4 | 1 | no | — |
| 357 | Dic34 | — | 4 | 1 | no | — |
| 358 | Dic34 | — | 4 | 1 | no | — |
| 359 | Dic34 | — | 8 | 1 | no | — |
| 360 | C8×C17 | — | 4 | 2 | no | — |
| 361 | #3622 | — | 2 | 4 | no | — |
| 362 | #3622 | — | 4 | 2 | no | — |
| 363 | #3529 | — | 17 | 1 | no | — |
| 364 | #3217 | — | 17 | 1 | no | — |
| 365 | #3217 | D17 | 1 | 1 | yes | characteristic, complemented |
| 366 | #3151 | — | 17 | 1 | no | — |
| 367 | #1657 | — | 17 | 2 | no | — |
| 368 | #1656 | — | 17 | 2 | no | — |
| 369 | #1656 | — | 17 | 2 | no | — |
| 370 | #1655 | — | 17 | 2 | no | — |
| 371 | #1536 | — | 17 | 1 | no | — |
| 372 | #1529 | — | 17 | 1 | no | — |
| 373 | #1529 | — | 17 | 1 | no | — |
| 374 | C22×C17 | — | 2 | 1 | no | — |
| 375 | C22×C17 | — | 2 | 1 | no | — |
| 376 | C22×C17 | — | 2 | 1 | no | — |
| 377 | C22×C17 | — | 4 | 1 | no | — |
| 378 | C22×C17 | — | 4 | 1 | no | — |
| 379 | C22×C17 | — | 4 | 1 | no | — |
| 380 | C22×C17 | — | 8 | 2 | no | — |
| 381 | C22×C17 | — | 8 | 2 | no | — |
| 382 | C22×C17 | — | 8 | 2 | no | — |
| 383 | C22×C17 | — | 16 | 4 | no | — |
| 384 | C22×C17 | C2×#120 | 1 | 1 | yes | characteristic |
| 385 | C2×D17 | — | 4 | 1 | no | — |
| 386 | C2×D17 | — | 4 | 1 | no | — |
| 387 | C2×D17 | — | 4 | 1 | no | — |
| 388 | C2×D17 | — | 4 | 1 | no | — |
| 389 | C2×D17 | — | 4 | 1 | no | — |
| 390 | C2×D17 | — | 4 | 1 | no | — |
| 391 | C2×D17 | — | 4 | 1 | no | — |
| 392 | C2×D17 | — | 4 | 1 | no | — |
| 393 | C2×D17 | — | 4 | 1 | no | — |
| 394 | C2×D17 | — | 8 | 4 | no | — |
| 395 | C4×C17 | — | 2 | 1 | no | — |
| 396 | C4×C17 | — | 2 | 1 | no | — |
| 397 | C4×C17 | — | 2 | 1 | no | — |
| 398 | C4×C17 | — | 2 | 1 | no | — |
| 399 | C4×C17 | — | 2 | 1 | no | — |
| 400 | C4×C17 | — | 4 | 1 | no | — |
| 401 | C4×C17 | — | 4 | 1 | no | — |
| 402 | C4×C17 | — | 4 | 1 | no | — |
| 403 | C4×C17 | #453 | 1 | 2 | yes | — |
| 404 | Dic17 | — | 4 | 1 | no | — |
| 405 | Dic17 | — | 4 | 1 | no | — |
| 406 | Dic17 | — | 4 | 1 | no | — |
| 407 | Dic17 | — | 4 | 1 | no | — |
| 408 | Dic17 | — | 4 | 1 | no | — |
| 409 | C2×AGL(1,ℤ/8) | — | 34 | 1 | no | — |
| 410 | C2×AGL(1,ℤ/8) | — | 34 | 1 | no | — |
| 411 | #563 | — | 17 | 1 | no | — |
| 412 | #563 | — | 34 | 1 | no | — |
| 413 | #562 | — | 17 | 1 | no | — |
| 414 | #562 | — | 17 | 1 | no | — |
| 415 | #562 | — | 34 | 1 | no | — |
| 416 | #562 | — | 34 | 1 | no | — |
| 417 | H(3,𝔽4) | — | 17 | 1 | no | — |
| 418 | #560 | — | 34 | 1 | no | — |
| 419 | #560 | — | 34 | 1 | no | — |
| 420 | #560 | — | 34 | 1 | no | — |
| 421 | #532 | — | 17 | 1 | no | — |
| 422 | #532 | — | 34 | 1 | no | — |
| 423 | C2×#127 | C2×D17 | 1 | 1 | yes | characteristic, complemented |
| 424 | #529 | — | 17 | 1 | no | — |
| 425 | #529 | — | 34 | 1 | no | — |
| 426 | #529 | — | 34 | 1 | no | — |
| 427 | #529 | C2×D17 | 1 | 1 | yes | characteristic |
| 428 | #525 | — | 34 | 1 | no | — |
| 429 | #525 | — | 34 | 1 | no | — |
| 430 | #525 | — | 34 | 1 | no | — |
| 431 | #496 | — | 17 | 2 | no | — |
| 432 | #496 | — | 17 | 2 | no | — |
| 433 | #496 | — | 17 | 2 | no | — |
| 434 | #496 | C2×D17 | 1 | 2 | yes | — |
| 435 | #493 | — | 34 | 1 | no | — |
| 436 | #492 | — | 34 | 1 | no | — |
| 437 | #490 | — | 17 | 2 | no | — |
| 438 | #490 | C2×D17 | 1 | 2 | yes | complemented |
| 439 | #460 | — | 2 | 1 | no | — |
| 440 | #460 | — | 34 | 1 | no | — |
| 441 | #459 | — | 2 | 1 | no | — |
| 442 | #459 | — | 34 | 1 | no | — |
| 443 | #450 | — | 2 | 1 | no | — |
| 444 | #450 | — | 34 | 1 | no | — |
| 445 | #447 | — | 2 | 1 | no | — |
| 446 | #447 | — | 34 | 1 | no | — |
| 447 | #432 | — | 17 | 1 | no | — |
| 448 | #432 | C2×D17 | 1 | 1 | yes | characteristic, complemented |
| 449 | C4×M16 | — | 17 | 1 | no | — |
| 450 | #330 | — | 17 | 2 | no | — |
| 451 | #330 | — | 17 | 2 | no | — |
| 452 | #329 | — | 17 | 2 | no | — |
| 453 | #329 | — | 17 | 2 | no | — |
| 454 | #329 | — | 17 | 2 | no | — |
| 455 | #329 | — | 17 | 2 | no | — |
| 456 | C2×C17 | — | 4 | 1 | no | — |
| 457 | C2×C17 | — | 8 | 1 | no | — |
| 458 | C2×C17 | — | 16 | 2 | no | — |
| 459 | C2×C17 | C2×#453 | 1 | 1 | yes | characteristic |
| 460 | C2×C17 | #3021 | 1 | 1 | yes | characteristic |
| 461 | C2×C17 | #3021 | 1 | 1 | yes | characteristic |
| 462 | D17 | — | 8 | 1 | no | — |
| 463 | D17 | — | 8 | 1 | no | — |
| 464 | D17 | — | 8 | 1 | no | — |
| 465 | C2×#41 | — | 17 | 1 | no | — |
| 466 | C2×#41 | — | 17 | 1 | no | — |
| 467 | C2×#41 | — | 34 | 1 | no | — |
| 468 | C22×D4 | — | 2 | 1 | no | — |
| 469 | C22×D4 | — | 2 | 1 | no | — |
| 470 | C22×D4 | — | 2 | 1 | no | — |
| 471 | C23×C4 | — | 34 | 1 | no | — |
| 472 | AGL(1,ℤ/8) | — | 68 | 4 | no | — |
| 473 | AGL(1,ℤ/8) | — | 68 | 4 | no | — |
| 474 | C2×SD16 | — | 2 | 2 | no | — |
| 475 | C2×SD16 | — | 34 | 2 | no | — |
| 476 | C2×SD16 | — | 34 | 2 | no | — |
| 477 | C2×SD16 | — | 34 | 2 | no | — |
| 478 | C2×D8 | — | 2 | 2 | no | — |
| 479 | C2×D8 | — | 34 | 2 | no | — |
| 480 | C2×D8 | — | 34 | 2 | no | — |
| 481 | C2×D8 | — | 34 | 2 | no | — |
| 482 | C2×M16 | — | 34 | 1 | no | — |
| 483 | C4⋊Q8 | — | 17 | 1 | no | — |
| 484 | C4⋊Q8 | — | 34 | 1 | no | — |
| 485 | #127 | — | 2 | 1 | no | — |
| 486 | #127 | — | 2 | 1 | no | — |
| 487 | #127 | — | 2 | 1 | no | — |
| 488 | #127 | — | 17 | 1 | no | — |
| 489 | #127 | — | 34 | 1 | no | — |
| 490 | #127 | C22×D17 | 1 | 2 | yes | — |
| 491 | #126 | — | 2 | 1 | no | — |
| 492 | #126 | — | 34 | 1 | no | — |
| 493 | #126 | — | 34 | 1 | no | — |
| 494 | #126 | — | 34 | 1 | no | — |
| 495 | #126 | — | 34 | 1 | no | — |
| 496 | #126 | — | 34 | 1 | no | — |
| 497 | #125 | — | 17 | 1 | no | — |
| 498 | #125 | — | 34 | 1 | no | — |
| 499 | #125 | — | 34 | 1 | no | — |
| 500 | #125 | C22×D17 | 1 | 1 | yes | characteristic |
| 501 | #124 | — | 17 | 1 | no | — |
| 502 | #124 | — | 17 | 1 | no | — |
| 503 | #124 | — | 17 | 1 | no | — |
| 504 | #124 | — | 34 | 1 | no | — |
| 505 | #124 | — | 34 | 1 | no | — |
| 506 | #124 | — | 34 | 1 | no | — |
| 507 | #124 | — | 34 | 1 | no | — |
| 508 | #124 | C22×D17 | 1 | 1 | yes | characteristic |
| 509 | #123 | — | 2 | 1 | no | — |
| 510 | #123 | — | 34 | 1 | no | — |
| 511 | #123 | — | 34 | 1 | no | — |
| 512 | #123 | — | 34 | 1 | no | — |
| 513 | #123 | — | 34 | 1 | no | — |
| 514 | #123 | — | 34 | 1 | no | — |
| 515 | #123 | — | 34 | 1 | no | — |
| 516 | #123 | — | 34 | 1 | no | — |
| 517 | #123 | — | 34 | 1 | no | — |
| 518 | #123 | — | 34 | 1 | no | — |
| 519 | #123 | — | 34 | 1 | no | — |
| 520 | #123 | — | 34 | 1 | no | — |
| 521 | C22⋊Q8 | — | 17 | 1 | no | — |
| 522 | C22⋊Q8 | — | 34 | 1 | no | — |
| 523 | C22⋊Q8 | — | 34 | 1 | no | — |
| 524 | C22⋊Q8 | — | 34 | 1 | no | — |
| 525 | C22⋊Q8 | — | 34 | 1 | no | — |
| 526 | C22⋊Q8 | — | 34 | 1 | no | — |
| 527 | C22⋊Q8 | — | 34 | 1 | no | — |
| 528 | C22⋊Q8 | — | 34 | 1 | no | — |
| 529 | C22⋊Q8 | — | 34 | 1 | no | — |
| 530 | C22⋊Q8 | C22⋊D17 | 1 | 1 | yes | characteristic |
| 531 | #121 | — | 17 | 1 | no | — |
| 532 | #121 | — | 34 | 1 | no | — |
| 533 | #121 | — | 34 | 1 | no | — |
| 534 | #121 | — | 34 | 1 | no | — |
| 535 | #121 | — | 34 | 1 | no | — |
| 536 | #121 | — | 34 | 1 | no | — |
| 537 | #121 | — | 34 | 1 | no | — |
| 538 | #121 | — | 34 | 1 | no | — |
| 539 | #121 | — | 34 | 1 | no | — |
| 540 | #121 | — | 34 | 1 | no | — |
| 541 | #121 | — | 34 | 1 | no | — |
| 542 | #121 | — | 34 | 1 | no | — |
| 543 | #121 | — | 34 | 1 | no | — |
| 544 | #121 | — | 34 | 1 | no | — |
| 545 | #121 | — | 34 | 1 | no | — |
| 546 | #121 | C22⋊D17 | 1 | 1 | yes | characteristic |
| 547 | #120 | — | 34 | 1 | no | — |
| 548 | #120 | — | 34 | 1 | no | — |
| 549 | #120 | — | 34 | 1 | no | — |
| 550 | #120 | — | 34 | 1 | no | — |
| 551 | #120 | — | 34 | 1 | no | — |
| 552 | #120 | — | 34 | 1 | no | — |
| 553 | C4×Q8 | — | 17 | 1 | no | — |
| 554 | C4×Q8 | C22⋊D17 | 1 | 1 | yes | characteristic |
| 555 | C4×D4 | — | 2 | 1 | no | — |
| 556 | C4×D4 | — | 17 | 1 | no | — |
| 557 | C4×D4 | — | 34 | 1 | no | — |
| 558 | C4×D4 | — | 34 | 1 | no | — |
| 559 | C4×D4 | — | 34 | 1 | no | — |
| 560 | C4×D4 | — | 34 | 1 | no | — |
| 561 | C4×D4 | — | 34 | 1 | no | — |
| 562 | C4×D4 | — | 34 | 1 | no | — |
| 563 | C4×D4 | — | 34 | 1 | no | — |
| 564 | C4×D4 | C22⋊D17 | 1 | 1 | yes | characteristic |
| 565 | #117 | — | 2 | 1 | no | — |
| 566 | #117 | — | 34 | 1 | no | — |
| 567 | #117 | — | 34 | 1 | no | — |
| 568 | C2×C42 | — | 34 | 1 | no | — |
| 569 | C2×C42 | C22×D17 | 1 | 1 | yes | characteristic |
| 570 | C4⋊C8 | — | 2 | 1 | no | — |
| 571 | C4⋊C8 | — | 34 | 1 | no | — |
| 572 | #102 | — | 2 | 2 | no | — |
| 573 | #102 | — | 2 | 2 | no | — |
| 574 | #102 | — | 34 | 2 | no | — |
| 575 | #102 | — | 34 | 2 | no | — |
| 576 | C22⋊C8 | — | 2 | 1 | no | — |
| 577 | C22⋊C8 | — | 34 | 1 | no | — |
| 578 | #97 | — | 17 | 2 | no | — |
| 579 | #97 | — | 17 | 2 | no | — |
| 580 | #97 | C22×D17 | 1 | 2 | yes | — |
| 581 | C4×C8 | — | 34 | 1 | no | — |
| 582 | C17 | #18995 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 583 | C24 | — | 4 | 1 | no | — |
| 584 | C24 | — | 34 | 1 | no | — |
| 585 | #41 | — | 68 | 2 | no | — |
| 586 | #41 | — | 68 | 2 | no | — |
| 587 | #41 | — | 136 | 2 | no | — |
| 588 | C2×Q8 | — | 17 | 1 | no | — |
| 589 | C2×Q8 | — | 17 | 1 | no | — |
| 590 | C2×Q8 | — | 17 | 1 | no | — |
| 591 | C2×Q8 | — | 34 | 1 | no | — |
| 592 | C2×Q8 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 593 | C2×D4 | — | 2 | 1 | no | — |
| 594 | C2×D4 | — | 2 | 2 | no | — |
| 595 | C2×D4 | — | 2 | 2 | no | — |
| 596 | C2×D4 | — | 2 | 2 | no | — |
| 597 | C2×D4 | — | 4 | 2 | no | — |
| 598 | C2×D4 | — | 4 | 2 | no | — |
| 599 | C2×D4 | — | 4 | 1 | no | — |
| 600 | C2×D4 | — | 4 | 1 | no | — |
| 601 | C2×D4 | — | 4 | 1 | no | — |
| 602 | C2×D4 | — | 8 | 2 | no | — |
| 603 | C2×D4 | — | 8 | 2 | no | — |
| 604 | C2×D4 | — | 17 | 1 | no | — |
| 605 | C2×D4 | — | 17 | 1 | no | — |
| 606 | C2×D4 | — | 17 | 1 | no | — |
| 607 | C2×D4 | — | 34 | 1 | no | — |
| 608 | C2×D4 | — | 34 | 1 | no | — |
| 609 | C2×D4 | — | 34 | 1 | no | — |
| 610 | C2×D4 | — | 34 | 1 | no | — |
| 611 | C2×D4 | — | 34 | 1 | no | — |
| 612 | C2×D4 | — | 34 | 1 | no | — |
| 613 | C2×D4 | — | 34 | 1 | no | — |
| 614 | C2×D4 | — | 34 | 1 | no | — |
| 615 | C2×D4 | — | 34 | 1 | no | — |
| 616 | C2×D4 | — | 34 | 1 | no | — |
| 617 | C2×D4 | — | 34 | 1 | no | — |
| 618 | C2×D4 | — | 34 | 1 | no | — |
| 619 | C2×D4 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 620 | C22×C4 | — | 2 | 1 | no | — |
| 621 | C22×C4 | — | 34 | 1 | no | — |
| 622 | C22×C4 | — | 34 | 1 | no | — |
| 623 | C22×C4 | — | 34 | 1 | no | — |
| 624 | C22×C4 | — | 34 | 1 | no | — |
| 625 | C22×C4 | — | 34 | 1 | no | — |
| 626 | C22×C4 | — | 34 | 1 | no | — |
| 627 | C22×C4 | — | 34 | 1 | no | — |
| 628 | C22×C4 | — | 34 | 1 | no | — |
| 629 | C22×C4 | — | 136 | 2 | no | — |
| 630 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 631 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 632 | C22×C4 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 633 | SD16 | — | 8 | 2 | no | — |
| 634 | SD16 | — | 68 | 4 | no | — |
| 635 | SD16 | — | 68 | 4 | no | — |
| 636 | SD16 | — | 136 | 2 | no | — |
| 637 | D8 | — | 8 | 2 | no | — |
| 638 | D8 | — | 68 | 4 | no | — |
| 639 | D8 | — | 68 | 4 | no | — |
| 640 | D8 | — | 136 | 2 | no | — |
| 641 | M16 | — | 34 | 4 | no | — |
| 642 | C2×C8 | — | 2 | 2 | no | — |
| 643 | C2×C8 | — | 34 | 2 | no | — |
| 644 | C2×C8 | — | 34 | 2 | no | — |
| 645 | C4⋊C4 | — | 2 | 1 | no | — |
| 646 | C4⋊C4 | — | 2 | 1 | no | — |
| 647 | C4⋊C4 | — | 2 | 1 | no | — |
| 648 | C4⋊C4 | — | 2 | 1 | no | — |
| 649 | C4⋊C4 | — | 17 | 1 | no | — |
| 650 | C4⋊C4 | — | 17 | 1 | no | — |
| 651 | C4⋊C4 | — | 34 | 1 | no | — |
| 652 | C4⋊C4 | — | 34 | 1 | no | — |
| 653 | C4⋊C4 | — | 34 | 1 | no | — |
| 654 | C4⋊C4 | — | 34 | 1 | no | — |
| 655 | C4⋊C4 | — | 34 | 1 | no | — |
| 656 | C4⋊C4 | — | 34 | 1 | no | — |
| 657 | C4⋊C4 | — | 34 | 1 | no | — |
| 658 | C4⋊C4 | — | 34 | 1 | no | — |
| 659 | C4⋊C4 | — | 34 | 1 | no | — |
| 660 | C4⋊C4 | — | 34 | 1 | no | — |
| 661 | C4⋊C4 | — | 34 | 1 | no | — |
| 662 | C4⋊C4 | — | 34 | 1 | no | — |
| 663 | C4⋊C4 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 664 | C4⋊C4 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 665 | C22⋊C4 | — | 2 | 1 | no | — |
| 666 | C22⋊C4 | — | 2 | 1 | no | — |
| 667 | C22⋊C4 | — | 2 | 1 | no | — |
| 668 | C22⋊C4 | — | 2 | 1 | no | — |
| 669 | C22⋊C4 | — | 2 | 1 | no | — |
| 670 | C22⋊C4 | — | 34 | 1 | no | — |
| 671 | C22⋊C4 | — | 34 | 1 | no | — |
| 672 | C22⋊C4 | — | 34 | 1 | no | — |
| 673 | C22⋊C4 | — | 34 | 1 | no | — |
| 674 | C22⋊C4 | — | 34 | 1 | no | — |
| 675 | C22⋊C4 | — | 34 | 1 | no | — |
| 676 | C22⋊C4 | — | 34 | 1 | no | — |
| 677 | C22⋊C4 | — | 34 | 1 | no | — |
| 678 | C22⋊C4 | — | 34 | 1 | no | — |
| 679 | C22⋊C4 | — | 34 | 1 | no | — |
| 680 | C22⋊C4 | — | 34 | 1 | no | — |
| 681 | C22⋊C4 | — | 34 | 1 | no | — |
| 682 | C22⋊C4 | — | 34 | 1 | no | — |
| 683 | C22⋊C4 | — | 34 | 1 | no | — |
| 684 | C22⋊C4 | — | 34 | 1 | no | — |
| 685 | C22⋊C4 | — | 34 | 1 | no | — |
| 686 | C22⋊C4 | — | 34 | 1 | no | — |
| 687 | C22⋊C4 | — | 34 | 1 | no | — |
| 688 | C22⋊C4 | — | 34 | 1 | no | — |
| 689 | C42 | — | 2 | 1 | no | — |
| 690 | C42 | — | 34 | 1 | no | — |
| 691 | C42 | — | 34 | 1 | no | — |
| 692 | C42 | — | 34 | 1 | no | — |
| 693 | C42 | D4×D17 | 1 | 1 | yes | characteristic |
| 694 | C42 | D4×D17 | 1 | 1 | yes | characteristic |
| 695 | C42 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 696 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 697 | C23 | — | 2 | 1 | no | — |
| 698 | C23 | — | 4 | 2 | no | — |
| 699 | C23 | — | 8 | 2 | no | — |
| 700 | C23 | — | 8 | 2 | no | — |
| 701 | C23 | — | 8 | 2 | no | — |
| 702 | C23 | — | 34 | 1 | no | — |
| 703 | C23 | — | 34 | 1 | no | — |
| 704 | C23 | — | 34 | 1 | no | — |
| 705 | C23 | — | 136 | 1 | no | — |
| 706 | C23 | — | 136 | 1 | no | — |
| 707 | C23 | — | 136 | 1 | no | — |
| 708 | C23 | #10587623 | 1 | 1 | yes | characteristic |
| 709 | Q8 | — | 4 | 1 | no | — |
| 710 | Q8 | — | 68 | 1 | no | — |
| 711 | Q8 | — | 68 | 1 | no | — |
| 712 | Q8 | — | 68 | 1 | no | — |
| 713 | Q8 | — | 136 | 1 | no | — |
| 714 | D4 | — | 4 | 1 | no | — |
| 715 | D4 | — | 4 | 2 | no | — |
| 716 | D4 | — | 4 | 2 | no | — |
| 717 | D4 | — | 4 | 2 | no | — |
| 718 | D4 | — | 4 | 2 | no | — |
| 719 | D4 | — | 4 | 2 | no | — |
| 720 | D4 | — | 4 | 2 | no | — |
| 721 | D4 | — | 8 | 2 | no | — |
| 722 | D4 | — | 8 | 2 | no | — |
| 723 | D4 | — | 8 | 1 | no | — |
| 724 | D4 | — | 8 | 2 | no | — |
| 725 | D4 | — | 68 | 1 | no | — |
| 726 | D4 | — | 68 | 1 | no | — |
| 727 | D4 | — | 68 | 1 | no | — |
| 728 | D4 | — | 136 | 1 | no | — |
| 729 | D4 | — | 136 | 1 | no | — |
| 730 | D4 | — | 136 | 1 | no | — |
| 731 | D4 | — | 136 | 1 | no | — |
| 732 | D4 | — | 136 | 1 | no | — |
| 733 | D4 | — | 136 | 1 | no | — |
| 734 | D4 | — | 136 | 1 | no | — |
| 735 | D4 | — | 136 | 1 | no | — |
| 736 | D4 | — | 136 | 1 | no | — |
| 737 | D4 | — | 136 | 1 | no | — |
| 738 | D4 | — | 136 | 1 | no | — |
| 739 | D4 | — | 136 | 1 | no | — |
| 740 | C2×C4 | — | 2 | 2 | no | — |
| 741 | C2×C4 | — | 2 | 1 | no | — |
| 742 | C2×C4 | — | 2 | 1 | no | — |
| 743 | C2×C4 | — | 2 | 1 | no | — |
| 744 | C2×C4 | — | 4 | 1 | no | — |
| 745 | C2×C4 | — | 4 | 1 | no | — |
| 746 | C2×C4 | — | 4 | 2 | no | — |
| 747 | C2×C4 | — | 34 | 1 | no | — |
| 748 | C2×C4 | — | 34 | 1 | no | — |
| 749 | C2×C4 | — | 34 | 1 | no | — |
| 750 | C2×C4 | — | 34 | 1 | no | — |
| 751 | C2×C4 | — | 34 | 1 | no | — |
| 752 | C2×C4 | — | 68 | 2 | no | — |
| 753 | C2×C4 | — | 68 | 2 | no | — |
| 754 | C2×C4 | — | 68 | 2 | no | — |
| 755 | C2×C4 | — | 136 | 1 | no | — |
| 756 | C2×C4 | — | 136 | 1 | no | — |
| 757 | C2×C4 | — | 136 | 1 | no | — |
| 758 | C2×C4 | — | 136 | 1 | no | — |
| 759 | C2×C4 | — | 136 | 1 | no | — |
| 760 | C2×C4 | #10587623 | 1 | 1 | yes | characteristic |
| 761 | C2×C4 | #10587623 | 1 | 1 | yes | characteristic |
| 762 | C2×C4 | #10587623 | 1 | 1 | yes | characteristic |
| 763 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 764 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 765 | C2×C4 | C22×C22⋊D17 | 1 | 1 | yes | characteristic |
| 766 | C8 | — | 4 | 2 | no | — |
| 767 | C8 | — | 34 | 4 | no | — |
| 768 | C8 | — | 68 | 2 | no | — |
| 769 | C22 | — | 2 | 1 | no | — |
| 770 | C22 | — | 2 | 1 | no | — |
| 771 | C22 | — | 2 | 1 | no | — |
| 772 | C22 | — | 4 | 1 | no | — |
| 773 | C22 | — | 4 | 1 | no | — |
| 774 | C22 | — | 4 | 1 | no | — |
| 775 | C22 | — | 8 | 2 | no | — |
| 776 | C22 | — | 8 | 2 | no | — |
| 777 | C22 | — | 8 | 2 | no | — |
| 778 | C22 | — | 16 | 4 | no | — |
| 779 | C22 | — | 68 | 1 | no | — |
| 780 | C22 | — | 68 | 1 | no | — |
| 781 | C22 | — | 68 | 1 | no | — |
| 782 | C22 | — | 68 | 1 | no | — |
| 783 | C22 | — | 68 | 1 | no | — |
| 784 | C22 | — | 68 | 1 | no | — |
| 785 | C22 | — | 68 | 1 | no | — |
| 786 | C22 | — | 68 | 1 | no | — |
| 787 | C22 | — | 68 | 1 | no | — |
| 788 | C22 | — | 136 | 4 | no | — |
| 789 | C22 | C2×#10587623 | 1 | 1 | yes | characteristic |
| 790 | C4 | — | 2 | 1 | no | — |
| 791 | C4 | — | 2 | 1 | no | — |
| 792 | C4 | — | 2 | 1 | no | — |
| 793 | C4 | — | 2 | 1 | no | — |
| 794 | C4 | — | 2 | 1 | no | — |
| 795 | C4 | — | 4 | 1 | no | — |
| 796 | C4 | — | 4 | 1 | no | — |
| 797 | C4 | — | 4 | 1 | no | — |
| 798 | C4 | — | 68 | 1 | no | — |
| 799 | C4 | — | 68 | 1 | no | — |
| 800 | C4 | — | 68 | 1 | no | — |
| 801 | C4 | — | 68 | 1 | no | — |
| 802 | C4 | — | 68 | 1 | no | — |
| 803 | C4 | #11762975 | 1 | 2 | yes | — |
| 804 | C2 | — | 4 | 1 | no | — |
| 805 | C2 | — | 8 | 1 | no | — |
| 806 | C2 | — | 16 | 2 | no | — |
| 807 | C2 | — | 136 | 1 | no | — |
| 808 | C2 | — | 136 | 1 | no | — |
| 809 | C2 | — | 136 | 1 | no | — |
| 810 | C2 | C2×#11762975 | 1 | 1 | yes | characteristic |
| 811 | C2 | #14538153 | 1 | 1 | yes | characteristic |
| 812 | C2 | #14538155 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14542923 | C2 | semidirect |
| 2. #14539802 | C2 | semidirect |
| 3. #14539234 | C2 | semidirect |
| 4. #14528081 | C2 | semidirect |
| 5. #14528076 | C2 | semidirect |
| 6. #14528075 | C2 | semidirect |
| 7. #14528072 | C2 | semidirect |
| 8. #14527418 | C2 | semidirect |
| 9. #14527392 | C2 | semidirect |
| 10. #14527391 | C2 | semidirect |
| 11. C17×#3217 | C2 | semidirect |
| 14. #11763563 | C22 | semidirect |
| 16. #11763557 | C22 | semidirect |
| 19. #11763553 | C22 | semidirect |
| 20. #11763551 | C22 | semidirect |
| 34. #11763196 | C22 | semidirect |
| 37. #11763173 | C22 | semidirect |
| 42. #11762866 | C22 | semidirect |
| 43. C4×#63223 | C22 | semidirect |
| 44. #11762551 | C22 | semidirect |
| 45. #11762550 | C22 | semidirect |
| 46. #11762549 | C22 | semidirect |
| 47. #11762548 | C22 | semidirect |
| 48. #11762548 | C22 | semidirect |
| 49. #11762548 | C22 | semidirect |
| 50. C2×C17×#127 | C22 | semidirect |
| 53. C17×#490 | C22 | semidirect |
| 58. C17×#432 | C22 | semidirect |
| 365. #3217 | D17 | semidirect |
| 423. C2×#127 | C2×D17 | semidirect |
| 438. #490 | C2×D17 | semidirect |
| 448. #432 | C2×D17 | semidirect |
| 582. C17 | #18995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14542923 | 2 |
| #14539802 | 2 |
| #14539234 | 2 |
| #14528081 | 2 |
| #14528076 | 2 |
| #14528075 | 2 |
| #14528072 | 2 |
| #14527418 | 2 |
| #14527392 | 2 |
| #14527391 | 2 |
| C17×#3217 | 2 |
| #18995 | 17 |