← D17×#3202 #17905018
Subgroups — D17×#3202 #17905018
Order 4352.
2122 conjugacy classes of subgroups.
The subgroup lattice has 762 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | D17×#536 | C2 | 1 | 2 | yes | maximal |
| 2 | #14539679 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14539678 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #14539677 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #14539676 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #14539675 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #14539674 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | D17×#485 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | D17×#470 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | D17×#467 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | D17×#451 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | D17×#408 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | C17×#3202 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#41×D17 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×Q8×D17 | C22 | 1 | 2 | yes | — |
| 16 | C2×Q16×D17 | C22 | 1 | 2 | yes | — |
| 17 | C2×Q16×D17 | C22 | 1 | 2 | yes | — |
| 18 | C2×M16×D17 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×C8×D17 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11763385 | C22 | 1 | 2 | yes | — |
| 21 | #11763384 | — | 2 | 2 | no | — |
| 22 | #11763383 | C22 | 1 | 2 | yes | — |
| 23 | #11763382 | C22 | 1 | 4 | yes | — |
| 24 | #11763382 | C22 | 1 | 4 | yes | — |
| 25 | #11763381 | — | 2 | 2 | no | — |
| 26 | #11763381 | — | 2 | 2 | no | — |
| 27 | #11763380 | C22 | 1 | 2 | yes | — |
| 28 | #11763379 | — | 2 | 2 | no | — |
| 29 | C4⋊Q8×D17 | — | 2 | 2 | no | — |
| 30 | #124×D17 | — | 2 | 2 | no | — |
| 31 | #123×D17 | — | 2 | 2 | no | — |
| 32 | #123×D17 | — | 2 | 2 | no | — |
| 33 | C22⋊Q8×D17 | C22 | 1 | 4 | yes | — |
| 34 | C22⋊Q8×D17 | C22 | 1 | 4 | yes | — |
| 35 | #117×D17 | C22 | 1 | 2 | yes | — |
| 36 | #11763153 | C22 | 1 | 4 | yes | complemented |
| 37 | #11763152 | C22 | 1 | 4 | yes | complemented |
| 38 | #11763151 | C22 | 1 | 4 | yes | complemented |
| 39 | #11763150 | C22 | 1 | 4 | yes | complemented |
| 40 | #11763149 | C22 | 1 | 4 | yes | complemented |
| 41 | #11763148 | C22 | 1 | 4 | yes | complemented |
| 42 | #11763147 | C22 | 1 | 4 | yes | complemented |
| 43 | #11763068 | C22 | 1 | 2 | yes | complemented |
| 44 | #11763067 | C22 | 1 | 2 | yes | complemented |
| 45 | #11763066 | C22 | 1 | 4 | yes | complemented |
| 46 | #11763065 | C22 | 1 | 4 | yes | complemented |
| 47 | #11763064 | C22 | 1 | 2 | yes | complemented |
| 48 | #11763051 | C22 | 1 | 2 | yes | complemented |
| 49 | #11763050 | C22 | 1 | 2 | yes | complemented |
| 50 | #11763049 | C22 | 1 | 4 | yes | complemented |
| 51 | #11763048 | C22 | 1 | 4 | yes | complemented |
| 52 | #11763047 | C22 | 1 | 2 | yes | complemented |
| 53 | #11762967 | C22 | 1 | 4 | yes | complemented |
| 54 | #11762966 | C22 | 1 | 4 | yes | complemented |
| 55 | #11762966 | C22 | 1 | 4 | yes | complemented |
| 56 | #11762965 | C22 | 1 | 4 | yes | complemented |
| 57 | #11762964 | C22 | 1 | 4 | yes | complemented |
| 58 | #11762963 | C22 | 1 | 4 | yes | complemented |
| 59 | #11762963 | C22 | 1 | 4 | yes | complemented |
| 60 | #107×D17 | C22 | 1 | 2 | yes | — |
| 61 | #106×D17 | C22 | 1 | 2 | yes | — |
| 62 | #103×D17 | C22 | 1 | 4 | yes | — |
| 63 | #103×D17 | C22 | 1 | 4 | yes | — |
| 64 | #11762777 | C22 | 1 | 1 | yes | characteristic |
| 65 | #11762776 | C22 | 1 | 1 | yes | characteristic |
| 66 | #11762775 | C22 | 1 | 1 | yes | characteristic |
| 67 | #11762774 | C22 | 1 | 4 | yes | — |
| 68 | C22⋊C8×D17 | C22 | 1 | 4 | yes | — |
| 69 | C17×#536 | C22 | 1 | 2 | yes | — |
| 70 | C17×#485 | C22 | 1 | 4 | yes | complemented |
| 71 | C17×#470 | C22 | 1 | 2 | yes | complemented |
| 72 | C17×#467 | C22 | 1 | 2 | yes | complemented |
| 73 | C17×#451 | C22 | 1 | 4 | yes | complemented |
| 74 | C17×#408 | C22 | 1 | 1 | yes | characteristic |
| 75 | C2×#41×C17 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×Q8×C17 | C23 | 1 | 2 | yes | — |
| 77 | #41×D17 | — | 4 | 2 | no | — |
| 78 | #41×D17 | — | 4 | 2 | no | — |
| 79 | C2×#63256 | D4 | 1 | 1 | yes | characteristic |
| 80 | C2×Q8×D17 | — | 2 | 2 | no | — |
| 81 | C2×Q8×D17 | — | 2 | 2 | no | — |
| 82 | C2×Q8×D17 | — | 4 | 4 | no | — |
| 83 | C2×Q8×D17 | — | 4 | 4 | no | — |
| 84 | C2×Q8×D17 | D4 | 1 | 1 | yes | characteristic |
| 85 | C2×Q8×D17 | C23 | 1 | 4 | yes | — |
| 86 | C2×Q8×D17 | C23 | 1 | 4 | yes | — |
| 87 | C2×#63254 | D4 | 1 | 2 | yes | — |
| 88 | C2×#63254 | D4 | 1 | 1 | yes | characteristic |
| 89 | C2×D4×D17 | D4 | 1 | 1 | yes | characteristic |
| 90 | C2×D4×D17 | D4 | 1 | 2 | yes | — |
| 91 | C2×#63252 | C23 | 1 | 2 | yes | — |
| 92 | C2×#63252 | C23 | 1 | 1 | yes | characteristic |
| 93 | C22×C4×D17 | — | 2 | 2 | no | — |
| 94 | C22×C4×D17 | C23 | 1 | 2 | yes | — |
| 95 | C22×C4×D17 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×Dic34 | — | 2 | 2 | no | — |
| 97 | C22×Dic34 | C23 | 1 | 2 | yes | — |
| 98 | C2×Q16×C17 | C23 | 1 | 2 | yes | — |
| 99 | C2×Q16×C17 | C23 | 1 | 2 | yes | — |
| 100 | C2×M16×C17 | C23 | 1 | 1 | yes | characteristic |
| 101 | C22×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 102 | C17×C4⋊Q8 | — | 2 | 2 | no | — |
| 103 | C17×#124 | — | 2 | 2 | no | — |
| 104 | C17×#123 | — | 2 | 2 | no | — |
| 105 | C17×#123 | — | 2 | 2 | no | — |
| 106 | C17×C22⋊Q8 | C23 | 1 | 4 | yes | — |
| 107 | C17×C22⋊Q8 | C23 | 1 | 4 | yes | — |
| 108 | C17×#117 | C23 | 1 | 2 | yes | — |
| 109 | #10587633 | — | 2 | 2 | no | — |
| 110 | #10587632 | C23 | 1 | 4 | yes | — |
| 111 | #10587632 | C23 | 1 | 4 | yes | — |
| 112 | #10587630 | — | 2 | 2 | no | — |
| 113 | #10587630 | — | 2 | 2 | no | — |
| 114 | C2×#63231 | C23 | 1 | 4 | yes | — |
| 115 | C2×#63231 | C23 | 1 | 4 | yes | — |
| 116 | #10587622 | — | 2 | 2 | no | — |
| 117 | #10587621 | — | 2 | 2 | no | — |
| 118 | #10587621 | — | 2 | 2 | no | — |
| 119 | #10587615 | — | 2 | 2 | no | — |
| 120 | #10587615 | — | 2 | 2 | no | — |
| 121 | #10587612 | C23 | 1 | 2 | yes | — |
| 122 | #10587610 | C23 | 1 | 4 | yes | — |
| 123 | #10587610 | C23 | 1 | 4 | yes | — |
| 124 | C2×#63223 | C23 | 1 | 1 | yes | characteristic |
| 125 | C22×#3622 | C23 | 1 | 1 | yes | characteristic |
| 126 | Q16×D17 | — | 4 | 4 | no | — |
| 127 | Q16×D17 | — | 4 | 4 | no | — |
| 128 | M16×D17 | — | 4 | 2 | no | — |
| 129 | C2×Dic68 | C23 | 1 | 2 | yes | — |
| 130 | C2×Dic68 | C23 | 1 | 2 | yes | — |
| 131 | C2×#63218 | C23 | 1 | 2 | yes | — |
| 132 | C2×C8×D17 | — | 4 | 2 | no | — |
| 133 | C2×C8×D17 | C23 | 1 | 2 | yes | — |
| 134 | C2×C8×D17 | C23 | 1 | 2 | yes | — |
| 135 | C2×C8×D17 | C23 | 1 | 2 | yes | — |
| 136 | #10587583 | C23 | 1 | 4 | yes | — |
| 137 | #10587583 | C23 | 1 | 4 | yes | — |
| 138 | #10587582 | — | 2 | 4 | no | — |
| 139 | #10587582 | — | 2 | 4 | no | — |
| 140 | #10587580 | — | 2 | 4 | no | — |
| 141 | #10587580 | — | 2 | 4 | no | — |
| 142 | #10587578 | C23 | 1 | 4 | yes | — |
| 143 | C4⋊C4×D17 | — | 2 | 4 | no | — |
| 144 | C4⋊C4×D17 | — | 2 | 4 | no | — |
| 145 | C4⋊C4×D17 | C23 | 1 | 4 | yes | — |
| 146 | #10587574 | — | 2 | 4 | no | — |
| 147 | #10587574 | — | 2 | 4 | no | — |
| 148 | #10587572 | — | 2 | 2 | no | — |
| 149 | #10587572 | — | 2 | 2 | no | — |
| 150 | #10587571 | — | 2 | 4 | no | — |
| 151 | #10587571 | — | 2 | 4 | no | — |
| 152 | #10587569 | — | 2 | 4 | no | — |
| 153 | #10587569 | — | 2 | 4 | no | — |
| 154 | C22⋊C4×D17 | — | 2 | 2 | no | — |
| 155 | C22⋊C4×D17 | — | 2 | 4 | no | — |
| 156 | C22⋊C4×D17 | — | 2 | 4 | no | — |
| 157 | #10587564 | — | 2 | 4 | no | — |
| 158 | #10587564 | — | 2 | 4 | no | — |
| 159 | #10587563 | — | 2 | 2 | no | — |
| 160 | #10587561 | — | 2 | 2 | no | — |
| 161 | #10587558 | — | 2 | 2 | no | — |
| 162 | C42×D17 | — | 2 | 2 | no | — |
| 163 | #10587555 | — | 2 | 2 | no | — |
| 164 | C17×#107 | C23 | 1 | 2 | yes | — |
| 165 | C17×#106 | C23 | 1 | 2 | yes | — |
| 166 | C17×#103 | C23 | 1 | 4 | yes | — |
| 167 | C17×#103 | C23 | 1 | 4 | yes | — |
| 168 | C17×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 169 | #10587506 | C23 | 1 | 4 | yes | — |
| 170 | #10587506 | C23 | 1 | 4 | yes | — |
| 171 | C22⋊#3622 | C23 | 1 | 4 | yes | — |
| 172 | #10587491 | C23 | 1 | 4 | yes | — |
| 173 | #10587491 | C23 | 1 | 4 | yes | — |
| 174 | #10587489 | C23 | 1 | 2 | yes | — |
| 175 | #10587488 | C23 | 1 | 2 | yes | — |
| 176 | #10587487 | C23 | 1 | 4 | yes | — |
| 177 | #10587487 | C23 | 1 | 4 | yes | — |
| 178 | #10587481 | C23 | 1 | 4 | yes | — |
| 179 | #10587481 | C23 | 1 | 4 | yes | — |
| 180 | #10587479 | C23 | 1 | 4 | yes | — |
| 181 | #10587478 | C23 | 1 | 4 | yes | — |
| 182 | C23×D17 | C2×D4 | 1 | 2 | yes | — |
| 183 | C23×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | #41×C17 | — | 4 | 1 | no | — |
| 185 | #41×C17 | — | 4 | 1 | no | — |
| 186 | C2×Q8×C17 | — | 2 | 2 | no | — |
| 187 | C2×Q8×C17 | — | 4 | 2 | no | — |
| 188 | C2×Q8×C17 | — | 4 | 2 | no | — |
| 189 | C2×Q8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×Q8×C17 | C24 | 1 | 4 | yes | — |
| 191 | C2×D4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×D4×C17 | C2×D4 | 1 | 2 | yes | — |
| 193 | C22×C4×C17 | — | 2 | 2 | no | — |
| 194 | C22×C4×C17 | C24 | 1 | 1 | yes | characteristic |
| 195 | C22×C4×C17 | C24 | 1 | 2 | yes | — |
| 196 | C2×C22⋊D17 | C2×D4 | 1 | 2 | yes | — |
| 197 | C2×C22⋊D17 | C2×D4 | 1 | 2 | yes | — |
| 198 | C2×C22⋊D17 | C2×D4 | 1 | 2 | yes | — |
| 199 | C22×Dic17 | — | 2 | 2 | no | — |
| 200 | C22×Dic17 | C2×D4 | 1 | 2 | yes | — |
| 201 | C22×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | #63256 | — | 4 | 2 | no | — |
| 203 | Q8×D17 | — | 2 | 8 | no | — |
| 204 | Q8×D17 | — | 2 | 8 | no | — |
| 205 | Q8×D17 | — | 4 | 4 | no | — |
| 206 | Q8×D17 | — | 4 | 4 | no | — |
| 207 | Q8×D17 | — | 4 | 2 | no | — |
| 208 | Q8×D17 | — | 4 | 8 | no | — |
| 209 | Q8×D17 | — | 4 | 8 | no | — |
| 210 | #63254 | — | 4 | 4 | no | — |
| 211 | #63254 | — | 4 | 2 | no | — |
| 212 | D4×D17 | — | 4 | 2 | no | — |
| 213 | D4×D17 | — | 4 | 4 | no | — |
| 214 | #63252 | — | 4 | 1 | no | — |
| 215 | #63252 | — | 4 | 1 | no | — |
| 216 | #63252 | — | 4 | 2 | no | — |
| 217 | #63252 | — | 4 | 2 | no | — |
| 218 | C2×D68 | C2×D4 | 1 | 2 | yes | — |
| 219 | C2×D68 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C2×C4×D17 | — | 2 | 4 | no | — |
| 221 | C2×C4×D17 | — | 2 | 4 | no | — |
| 222 | C2×C4×D17 | — | 2 | 2 | no | — |
| 223 | C2×C4×D17 | — | 2 | 2 | no | — |
| 224 | C2×C4×D17 | — | 2 | 4 | no | — |
| 225 | C2×C4×D17 | — | 2 | 4 | no | — |
| 226 | C2×C4×D17 | — | 2 | 4 | no | — |
| 227 | C2×C4×D17 | — | 4 | 8 | no | — |
| 228 | C2×C4×D17 | C2×D4 | 1 | 2 | yes | — |
| 229 | C2×C4×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×C4×D17 | C2×D4 | 1 | 2 | yes | — |
| 231 | C2×C4×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | C2×C4×D17 | C24 | 1 | 2 | yes | — |
| 233 | C2×C4×D17 | C24 | 1 | 1 | yes | characteristic |
| 234 | C2×C4×D17 | C24 | 1 | 1 | yes | characteristic |
| 235 | C2×Dic34 | — | 2 | 2 | no | — |
| 236 | C2×Dic34 | — | 2 | 4 | no | — |
| 237 | C2×Dic34 | — | 2 | 4 | no | — |
| 238 | C2×Dic34 | — | 4 | 2 | no | — |
| 239 | C2×Dic34 | — | 4 | 2 | no | — |
| 240 | C2×Dic34 | — | 4 | 8 | no | — |
| 241 | C2×Dic34 | C2×D4 | 1 | 2 | yes | — |
| 242 | C2×Dic34 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×Dic34 | C24 | 1 | 4 | yes | — |
| 244 | Q16×C17 | — | 4 | 2 | no | — |
| 245 | Q16×C17 | — | 4 | 2 | no | — |
| 246 | M16×C17 | — | 4 | 1 | no | — |
| 247 | C2×C8×C17 | — | 4 | 1 | no | — |
| 248 | C2×C8×C17 | C24 | 1 | 2 | yes | — |
| 249 | C2×C8×C17 | C24 | 1 | 2 | yes | — |
| 250 | C4⋊C4×C17 | — | 2 | 4 | no | — |
| 251 | C4⋊C4×C17 | — | 2 | 4 | no | — |
| 252 | C4⋊C4×C17 | C24 | 1 | 4 | yes | — |
| 253 | C22⋊C4×C17 | — | 2 | 4 | no | — |
| 254 | C22⋊C4×C17 | — | 2 | 4 | no | — |
| 255 | C22⋊C4×C17 | — | 2 | 2 | no | — |
| 256 | C42×C17 | — | 2 | 2 | no | — |
| 257 | C22⋊Dic17 | — | 2 | 2 | no | — |
| 258 | C22⋊Dic17 | — | 2 | 4 | no | — |
| 259 | C22⋊Dic17 | — | 2 | 4 | no | — |
| 260 | #63231 | — | 4 | 4 | no | — |
| 261 | #63231 | — | 4 | 4 | no | — |
| 262 | #63227 | — | 2 | 4 | no | — |
| 263 | #63227 | — | 2 | 4 | no | — |
| 264 | #63227 | — | 2 | 4 | no | — |
| 265 | #63227 | — | 2 | 4 | no | — |
| 266 | #63227 | — | 2 | 4 | no | — |
| 267 | C4⋊Dic17 | — | 2 | 4 | no | — |
| 268 | C4⋊Dic17 | — | 2 | 4 | no | — |
| 269 | C4⋊Dic17 | C24 | 1 | 4 | yes | — |
| 270 | #63225 | — | 2 | 4 | no | — |
| 271 | #63225 | — | 2 | 4 | no | — |
| 272 | #63225 | — | 2 | 4 | no | — |
| 273 | #63225 | — | 2 | 4 | no | — |
| 274 | #63225 | — | 2 | 4 | no | — |
| 275 | C4×Dic17 | — | 2 | 2 | no | — |
| 276 | C4×Dic17 | — | 2 | 4 | no | — |
| 277 | #63223 | — | 4 | 1 | no | — |
| 278 | C2×#3622 | — | 4 | 1 | no | — |
| 279 | C2×#3622 | C24 | 1 | 2 | yes | — |
| 280 | C2×#3622 | C24 | 1 | 2 | yes | — |
| 281 | Dic68 | — | 4 | 2 | no | — |
| 282 | Dic68 | — | 4 | 2 | no | — |
| 283 | #63218 | — | 4 | 2 | no | — |
| 284 | C8×D17 | — | 2 | 4 | no | — |
| 285 | C8×D17 | — | 2 | 4 | no | — |
| 286 | C8×D17 | — | 4 | 2 | no | — |
| 287 | C2×#3202 | — | 17 | 1 | no | maximal, Sylow |
| 288 | C23×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 289 | C23×C17 | C22×D4 | 1 | 2 | yes | — |
| 290 | C22×D17 | — | 2 | 4 | no | — |
| 291 | C22×D17 | — | 2 | 2 | no | — |
| 292 | C22×D17 | — | 2 | 8 | no | — |
| 293 | C22×D17 | — | 2 | 4 | no | — |
| 294 | C22×D17 | C22×D4 | 1 | 2 | yes | — |
| 295 | C22×D17 | C22×D4 | 1 | 1 | yes | characteristic |
| 296 | C22×D17 | C22×D4 | 1 | 1 | yes | characteristic |
| 297 | Q8×C17 | — | 2 | 4 | no | — |
| 298 | Q8×C17 | — | 2 | 4 | no | — |
| 299 | Q8×C17 | — | 4 | 1 | no | — |
| 300 | Q8×C17 | — | 4 | 4 | no | — |
| 301 | D4×C17 | — | 4 | 2 | no | — |
| 302 | D4×C17 | — | 4 | 1 | no | — |
| 303 | C2×C4×C17 | — | 2 | 1 | no | — |
| 304 | C2×C4×C17 | — | 2 | 1 | no | — |
| 305 | C2×C4×C17 | — | 2 | 2 | no | — |
| 306 | C2×C4×C17 | — | 2 | 2 | no | — |
| 307 | C2×C4×C17 | — | 2 | 4 | no | — |
| 308 | C2×C4×C17 | — | 2 | 4 | no | — |
| 309 | C2×C4×C17 | — | 4 | 4 | no | — |
| 310 | C2×C4×C17 | C22×D4 | 1 | 2 | yes | — |
| 311 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 312 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 313 | C22⋊D17 | — | 4 | 2 | no | — |
| 314 | C22⋊D17 | — | 4 | 2 | no | — |
| 315 | C22⋊D17 | — | 4 | 2 | no | — |
| 316 | C2×Dic17 | — | 2 | 4 | no | — |
| 317 | C2×Dic17 | — | 2 | 2 | no | — |
| 318 | C2×Dic17 | — | 2 | 4 | no | — |
| 319 | C2×Dic17 | — | 2 | 4 | no | — |
| 320 | C2×Dic17 | — | 4 | 4 | no | — |
| 321 | C2×Dic17 | C22×D4 | 1 | 2 | yes | — |
| 322 | C2×Dic17 | C22×D4 | 1 | 1 | yes | characteristic |
| 323 | C2×Dic17 | C22×D4 | 1 | 1 | yes | characteristic |
| 324 | D68 | — | 4 | 2 | no | — |
| 325 | D68 | — | 4 | 1 | no | — |
| 326 | C4×D17 | — | 2 | 2 | no | — |
| 327 | C4×D17 | — | 2 | 4 | no | — |
| 328 | C4×D17 | — | 2 | 2 | no | — |
| 329 | C4×D17 | — | 2 | 2 | no | — |
| 330 | C4×D17 | — | 2 | 1 | no | — |
| 331 | C4×D17 | — | 2 | 1 | no | — |
| 332 | C4×D17 | — | 2 | 4 | no | — |
| 333 | C4×D17 | — | 2 | 2 | no | — |
| 334 | C4×D17 | — | 4 | 8 | no | — |
| 335 | C4×D17 | — | 4 | 8 | no | — |
| 336 | C4×D17 | — | 4 | 8 | no | — |
| 337 | C4×D17 | H(5,𝔽2) | 1 | 2 | yes | — |
| 338 | C4×D17 | H(5,𝔽2) | 1 | 2 | yes | — |
| 339 | Dic34 | — | 2 | 4 | no | — |
| 340 | Dic34 | — | 2 | 4 | no | — |
| 341 | Dic34 | — | 4 | 1 | no | — |
| 342 | Dic34 | — | 4 | 2 | no | — |
| 343 | Dic34 | — | 4 | 8 | no | — |
| 344 | Dic34 | — | 4 | 4 | no | — |
| 345 | Dic34 | — | 4 | 8 | no | — |
| 346 | C8×C17 | — | 2 | 2 | no | — |
| 347 | C8×C17 | — | 2 | 2 | no | — |
| 348 | #3622 | — | 2 | 2 | no | — |
| 349 | #3622 | — | 2 | 2 | no | — |
| 350 | C2×#536 | — | 17 | 2 | no | — |
| 351 | #3202 | — | 17 | 4 | no | — |
| 352 | #3202 | — | 17 | 2 | no | — |
| 353 | #3202 | — | 17 | 2 | no | — |
| 354 | #3202 | — | 17 | 4 | no | — |
| 355 | #3202 | — | 17 | 1 | no | — |
| 356 | #3202 | — | 17 | 2 | no | — |
| 357 | #3202 | D17 | 1 | 1 | yes | characteristic, direct product factor |
| 358 | C2×#485 | — | 17 | 4 | no | — |
| 359 | C2×#470 | — | 17 | 2 | no | — |
| 360 | C2×#467 | — | 17 | 2 | no | — |
| 361 | C2×#451 | — | 17 | 4 | no | — |
| 362 | C2×#408 | — | 17 | 1 | no | — |
| 363 | C22×C17 | — | 2 | 2 | no | — |
| 364 | C22×C17 | — | 2 | 1 | no | — |
| 365 | C22×C17 | — | 2 | 2 | no | — |
| 366 | C22×C17 | — | 2 | 4 | no | — |
| 367 | C22×C17 | C23×D4 | 1 | 1 | yes | characteristic |
| 368 | C2×D17 | — | 2 | 2 | no | — |
| 369 | C2×D17 | — | 2 | 1 | no | — |
| 370 | C2×D17 | — | 2 | 4 | no | — |
| 371 | C2×D17 | — | 2 | 2 | no | — |
| 372 | C2×D17 | — | 4 | 8 | no | — |
| 373 | C2×D17 | — | 4 | 4 | no | — |
| 374 | C2×D17 | #534 | 1 | 2 | yes | — |
| 375 | C2×D17 | #578 | 1 | 4 | yes | — |
| 376 | C4×C17 | — | 2 | 2 | no | — |
| 377 | C4×C17 | — | 2 | 1 | no | — |
| 378 | C4×C17 | — | 4 | 4 | no | — |
| 379 | C4×C17 | — | 4 | 4 | no | — |
| 380 | C4×C17 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 381 | C4×C17 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 382 | Dic17 | — | 2 | 2 | no | — |
| 383 | Dic17 | — | 2 | 1 | no | — |
| 384 | Dic17 | — | 4 | 4 | no | — |
| 385 | Dic17 | — | 4 | 4 | no | — |
| 386 | Dic17 | #534 | 1 | 2 | yes | — |
| 387 | C22×#41 | — | 17 | 1 | no | — |
| 388 | C23×Q8 | — | 17 | 2 | no | — |
| 389 | C22×Q16 | — | 17 | 2 | no | — |
| 390 | C22×Q16 | — | 17 | 2 | no | — |
| 391 | C22×M16 | — | 17 | 1 | no | — |
| 392 | C23×C8 | — | 17 | 1 | no | — |
| 393 | #536 | — | 17 | 2 | no | — |
| 394 | #536 | — | 17 | 2 | no | — |
| 395 | #536 | — | 17 | 4 | no | — |
| 396 | #536 | — | 17 | 4 | no | — |
| 397 | #536 | — | 17 | 2 | no | — |
| 398 | #536 | — | 34 | 2 | no | — |
| 399 | #536 | — | 34 | 2 | no | — |
| 400 | #536 | — | 34 | 2 | no | — |
| 401 | #536 | — | 34 | 2 | no | — |
| 402 | #536 | C2×D17 | 1 | 2 | yes | — |
| 403 | C2×C4⋊Q8 | — | 34 | 2 | no | — |
| 404 | C2×#124 | — | 34 | 2 | no | — |
| 405 | C2×#123 | — | 34 | 2 | no | — |
| 406 | C2×#123 | — | 34 | 2 | no | — |
| 407 | C2×C22⋊Q8 | — | 17 | 4 | no | — |
| 408 | C2×C22⋊Q8 | — | 17 | 4 | no | — |
| 409 | C2×#117 | — | 17 | 2 | no | — |
| 410 | #485 | — | 17 | 4 | no | — |
| 411 | #485 | — | 17 | 4 | no | — |
| 412 | #485 | — | 17 | 4 | no | — |
| 413 | #485 | — | 17 | 4 | no | — |
| 414 | #485 | — | 17 | 4 | no | — |
| 415 | #485 | — | 17 | 4 | no | — |
| 416 | #485 | — | 17 | 4 | no | — |
| 417 | #485 | C2×D17 | 1 | 4 | yes | complemented |
| 418 | #470 | — | 17 | 2 | no | — |
| 419 | #470 | — | 17 | 2 | no | — |
| 420 | #470 | — | 17 | 4 | no | — |
| 421 | #470 | — | 17 | 2 | no | — |
| 422 | #470 | — | 17 | 4 | no | — |
| 423 | #470 | C2×D17 | 1 | 2 | yes | complemented |
| 424 | #467 | — | 17 | 2 | no | — |
| 425 | #467 | — | 17 | 2 | no | — |
| 426 | #467 | — | 17 | 4 | no | — |
| 427 | #467 | — | 17 | 2 | no | — |
| 428 | #467 | — | 17 | 4 | no | — |
| 429 | #467 | C2×D17 | 1 | 2 | yes | complemented |
| 430 | #451 | — | 17 | 4 | no | — |
| 431 | #451 | — | 17 | 4 | no | — |
| 432 | #451 | — | 17 | 4 | no | — |
| 433 | #451 | — | 17 | 4 | no | — |
| 434 | #451 | — | 17 | 4 | no | — |
| 435 | #451 | — | 17 | 4 | no | — |
| 436 | #451 | — | 17 | 4 | no | — |
| 437 | #451 | C2×D17 | 1 | 4 | yes | complemented |
| 438 | C2×#107 | — | 17 | 2 | no | — |
| 439 | C2×#106 | — | 17 | 2 | no | — |
| 440 | C2×#103 | — | 17 | 4 | no | — |
| 441 | C2×#103 | — | 17 | 4 | no | — |
| 442 | #408 | — | 17 | 1 | no | — |
| 443 | #408 | — | 17 | 1 | no | — |
| 444 | #408 | — | 17 | 1 | no | — |
| 445 | #408 | — | 17 | 4 | no | — |
| 446 | #408 | C2×D17 | 1 | 1 | yes | characteristic |
| 447 | C2×C22⋊C8 | — | 17 | 4 | no | — |
| 448 | C2×C17 | — | 4 | 2 | no | — |
| 449 | C2×C17 | — | 4 | 1 | no | — |
| 450 | C2×C17 | C2×#534 | 1 | 1 | yes | characteristic |
| 451 | C2×C17 | C2×#578 | 1 | 2 | yes | — |
| 452 | D17 | — | 4 | 2 | no | — |
| 453 | D17 | — | 4 | 1 | no | — |
| 454 | D17 | #3202 | 1 | 4 | yes | direct product factor |
| 455 | C2×#41 | — | 17 | 1 | no | — |
| 456 | C2×#41 | — | 17 | 1 | no | — |
| 457 | C2×#41 | — | 17 | 2 | no | — |
| 458 | C2×#41 | — | 17 | 1 | no | — |
| 459 | C2×#41 | — | 17 | 2 | no | — |
| 460 | C2×#41 | — | 68 | 2 | no | — |
| 461 | C2×#41 | — | 68 | 2 | no | — |
| 462 | C2×#41 | C22×D17 | 1 | 1 | yes | characteristic |
| 463 | C22×Q8 | — | 17 | 1 | no | — |
| 464 | C22×Q8 | — | 17 | 4 | no | — |
| 465 | C22×Q8 | — | 17 | 4 | no | — |
| 466 | C22×Q8 | — | 17 | 2 | no | — |
| 467 | C22×Q8 | — | 34 | 2 | no | — |
| 468 | C22×Q8 | — | 34 | 2 | no | — |
| 469 | C22×Q8 | — | 34 | 2 | no | — |
| 470 | C22×Q8 | — | 68 | 4 | no | — |
| 471 | C22×Q8 | — | 68 | 4 | no | — |
| 472 | C22×Q8 | C22×D17 | 1 | 2 | yes | — |
| 473 | C22×D4 | — | 17 | 1 | no | — |
| 474 | C22×D4 | — | 17 | 2 | no | — |
| 475 | C23×C4 | — | 17 | 2 | no | — |
| 476 | C23×C4 | — | 17 | 1 | no | — |
| 477 | C23×C4 | — | 34 | 2 | no | — |
| 478 | C2×Q16 | — | 17 | 4 | no | — |
| 479 | C2×Q16 | — | 17 | 4 | no | — |
| 480 | C2×Q16 | — | 17 | 2 | no | — |
| 481 | C2×Q16 | — | 17 | 2 | no | — |
| 482 | C2×Q16 | — | 68 | 4 | no | — |
| 483 | C2×Q16 | — | 68 | 4 | no | — |
| 484 | C2×Q16 | C22×D17 | 1 | 2 | yes | — |
| 485 | C2×Q16 | C22×D17 | 1 | 2 | yes | — |
| 486 | C2×M16 | — | 17 | 1 | no | — |
| 487 | C2×M16 | — | 17 | 2 | no | — |
| 488 | C2×M16 | — | 68 | 2 | no | — |
| 489 | C2×M16 | C22×D17 | 1 | 1 | yes | characteristic |
| 490 | C22×C8 | — | 17 | 1 | no | — |
| 491 | C22×C8 | — | 17 | 2 | no | — |
| 492 | C22×C8 | — | 17 | 2 | no | — |
| 493 | C22×C8 | — | 17 | 2 | no | — |
| 494 | C22×C8 | — | 68 | 2 | no | — |
| 495 | C22×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 496 | C4⋊Q8 | — | 2 | 2 | no | — |
| 497 | C4⋊Q8 | — | 34 | 2 | no | — |
| 498 | C4⋊Q8 | — | 34 | 4 | no | — |
| 499 | C4⋊Q8 | — | 34 | 4 | no | — |
| 500 | C4⋊Q8 | — | 34 | 2 | no | — |
| 501 | C4⋊Q8 | — | 34 | 2 | no | — |
| 502 | #124 | — | 2 | 2 | no | — |
| 503 | #124 | — | 34 | 2 | no | — |
| 504 | #124 | — | 34 | 4 | no | — |
| 505 | #124 | — | 34 | 4 | no | — |
| 506 | #124 | — | 34 | 2 | no | — |
| 507 | #124 | — | 34 | 2 | no | — |
| 508 | #123 | — | 2 | 2 | no | — |
| 509 | #123 | — | 2 | 2 | no | — |
| 510 | #123 | — | 34 | 4 | no | — |
| 511 | #123 | — | 34 | 4 | no | — |
| 512 | #123 | — | 34 | 2 | no | — |
| 513 | #123 | — | 34 | 2 | no | — |
| 514 | #123 | — | 34 | 4 | no | — |
| 515 | #123 | — | 34 | 4 | no | — |
| 516 | #123 | — | 34 | 2 | no | — |
| 517 | #123 | — | 34 | 2 | no | — |
| 518 | #123 | — | 34 | 2 | no | — |
| 519 | #123 | — | 34 | 2 | no | — |
| 520 | C22⋊Q8 | — | 17 | 4 | no | — |
| 521 | C22⋊Q8 | — | 17 | 4 | no | — |
| 522 | C22⋊Q8 | — | 17 | 4 | no | — |
| 523 | C22⋊Q8 | — | 17 | 4 | no | — |
| 524 | C22⋊Q8 | — | 17 | 4 | no | — |
| 525 | C22⋊Q8 | — | 17 | 4 | no | — |
| 526 | C22⋊Q8 | — | 34 | 4 | no | — |
| 527 | C22⋊Q8 | — | 34 | 4 | no | — |
| 528 | C22⋊Q8 | — | 34 | 4 | no | — |
| 529 | C22⋊Q8 | — | 34 | 4 | no | — |
| 530 | C22⋊Q8 | C22×D17 | 1 | 4 | yes | — |
| 531 | C22⋊Q8 | C22×D17 | 1 | 4 | yes | — |
| 532 | #117 | — | 17 | 2 | no | — |
| 533 | #117 | — | 17 | 4 | no | — |
| 534 | #117 | — | 34 | 2 | no | — |
| 535 | #117 | — | 34 | 2 | no | — |
| 536 | #117 | C22×D17 | 1 | 2 | yes | — |
| 537 | C2×C4⋊C4 | — | 17 | 4 | no | — |
| 538 | C2×C4⋊C4 | — | 34 | 4 | no | — |
| 539 | C2×C4⋊C4 | — | 34 | 4 | no | — |
| 540 | C2×C22⋊C4 | — | 34 | 2 | no | — |
| 541 | C2×C22⋊C4 | — | 34 | 4 | no | — |
| 542 | C2×C22⋊C4 | — | 34 | 4 | no | — |
| 543 | C2×C42 | — | 34 | 2 | no | — |
| 544 | #107 | — | 17 | 2 | no | — |
| 545 | #107 | — | 17 | 4 | no | — |
| 546 | #107 | C22×D17 | 1 | 2 | yes | — |
| 547 | #106 | — | 17 | 2 | no | — |
| 548 | #106 | — | 17 | 4 | no | — |
| 549 | #106 | C22×D17 | 1 | 2 | yes | — |
| 550 | #103 | — | 17 | 4 | no | — |
| 551 | #103 | — | 17 | 4 | no | — |
| 552 | #103 | — | 17 | 4 | no | — |
| 553 | #103 | — | 17 | 4 | no | — |
| 554 | #103 | — | 17 | 4 | no | — |
| 555 | #103 | — | 17 | 4 | no | — |
| 556 | #103 | C22×D17 | 1 | 4 | yes | — |
| 557 | #103 | C22×D17 | 1 | 4 | yes | — |
| 558 | C22⋊C8 | — | 17 | 4 | no | — |
| 559 | C22⋊C8 | — | 17 | 4 | no | — |
| 560 | C22⋊C8 | — | 17 | 4 | no | — |
| 561 | C22⋊C8 | C22×D17 | 1 | 4 | yes | — |
| 562 | C17 | C2×#3202 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 563 | C24 | — | 17 | 1 | no | — |
| 564 | C24 | — | 17 | 2 | no | — |
| 565 | #41 | — | 4 | 1 | no | — |
| 566 | #41 | — | 4 | 1 | no | — |
| 567 | #41 | — | 68 | 1 | no | — |
| 568 | #41 | — | 68 | 1 | no | — |
| 569 | #41 | — | 68 | 2 | no | — |
| 570 | #41 | — | 68 | 2 | no | — |
| 571 | #41 | — | 68 | 4 | no | — |
| 572 | #41 | — | 68 | 2 | no | — |
| 573 | #41 | — | 68 | 2 | no | — |
| 574 | C2×Q8 | — | 2 | 2 | no | — |
| 575 | C2×Q8 | — | 4 | 2 | no | — |
| 576 | C2×Q8 | — | 4 | 2 | no | — |
| 577 | C2×Q8 | — | 17 | 1 | no | — |
| 578 | C2×Q8 | — | 17 | 2 | no | — |
| 579 | C2×Q8 | — | 17 | 4 | no | — |
| 580 | C2×Q8 | — | 34 | 4 | no | — |
| 581 | C2×Q8 | — | 34 | 4 | no | — |
| 582 | C2×Q8 | — | 34 | 8 | no | — |
| 583 | C2×Q8 | — | 34 | 8 | no | — |
| 584 | C2×Q8 | — | 34 | 2 | no | — |
| 585 | C2×Q8 | — | 68 | 2 | no | — |
| 586 | C2×Q8 | — | 68 | 2 | no | — |
| 587 | C2×Q8 | — | 68 | 8 | no | — |
| 588 | C2×Q8 | — | 68 | 2 | no | — |
| 589 | C2×Q8 | — | 68 | 4 | no | — |
| 590 | C2×Q8 | — | 68 | 4 | no | — |
| 591 | C2×Q8 | — | 68 | 8 | no | — |
| 592 | C2×Q8 | — | 68 | 8 | no | — |
| 593 | C2×Q8 | D4×D17 | 1 | 1 | yes | characteristic |
| 594 | C2×Q8 | C23×D17 | 1 | 4 | yes | — |
| 595 | C2×D4 | — | 17 | 2 | no | — |
| 596 | C2×D4 | — | 17 | 2 | no | — |
| 597 | C2×D4 | — | 17 | 2 | no | — |
| 598 | C2×D4 | — | 17 | 1 | no | — |
| 599 | C2×D4 | — | 17 | 2 | no | — |
| 600 | C2×D4 | — | 68 | 4 | no | — |
| 601 | C2×D4 | — | 68 | 2 | no | — |
| 602 | C2×D4 | D4×D17 | 1 | 1 | yes | characteristic |
| 603 | C2×D4 | D4×D17 | 1 | 2 | yes | — |
| 604 | C22×C4 | — | 2 | 2 | no | — |
| 605 | C22×C4 | — | 17 | 1 | no | — |
| 606 | C22×C4 | — | 17 | 2 | no | — |
| 607 | C22×C4 | — | 17 | 1 | no | — |
| 608 | C22×C4 | — | 17 | 2 | no | — |
| 609 | C22×C4 | — | 17 | 1 | no | — |
| 610 | C22×C4 | — | 17 | 2 | no | — |
| 611 | C22×C4 | — | 17 | 1 | no | — |
| 612 | C22×C4 | — | 17 | 2 | no | — |
| 613 | C22×C4 | — | 17 | 1 | no | — |
| 614 | C22×C4 | — | 34 | 2 | no | — |
| 615 | C22×C4 | — | 34 | 2 | no | — |
| 616 | C22×C4 | — | 34 | 4 | no | — |
| 617 | C22×C4 | — | 34 | 4 | no | — |
| 618 | C22×C4 | — | 34 | 4 | no | — |
| 619 | C22×C4 | — | 34 | 4 | no | — |
| 620 | C22×C4 | — | 34 | 4 | no | — |
| 621 | C22×C4 | — | 34 | 2 | no | — |
| 622 | C22×C4 | — | 68 | 8 | no | — |
| 623 | C22×C4 | C23×D17 | 1 | 2 | yes | — |
| 624 | C22×C4 | C23×D17 | 1 | 1 | yes | characteristic |
| 625 | Q16 | — | 4 | 2 | no | — |
| 626 | Q16 | — | 4 | 2 | no | — |
| 627 | Q16 | — | 68 | 2 | no | — |
| 628 | Q16 | — | 68 | 2 | no | — |
| 629 | Q16 | — | 68 | 4 | no | — |
| 630 | Q16 | — | 68 | 4 | no | — |
| 631 | M16 | — | 4 | 1 | no | — |
| 632 | M16 | — | 68 | 2 | no | — |
| 633 | M16 | — | 68 | 1 | no | — |
| 634 | C2×C8 | — | 4 | 1 | no | — |
| 635 | C2×C8 | — | 17 | 2 | no | — |
| 636 | C2×C8 | — | 17 | 2 | no | — |
| 637 | C2×C8 | — | 34 | 4 | no | — |
| 638 | C2×C8 | — | 34 | 4 | no | — |
| 639 | C2×C8 | — | 68 | 2 | no | — |
| 640 | C2×C8 | — | 68 | 1 | no | — |
| 641 | C2×C8 | C23×D17 | 1 | 2 | yes | — |
| 642 | C2×C8 | C23×D17 | 1 | 2 | yes | — |
| 643 | C4⋊C4 | — | 2 | 4 | no | — |
| 644 | C4⋊C4 | — | 2 | 4 | no | — |
| 645 | C4⋊C4 | — | 17 | 4 | no | — |
| 646 | C4⋊C4 | — | 34 | 4 | no | — |
| 647 | C4⋊C4 | — | 34 | 4 | no | — |
| 648 | C4⋊C4 | — | 34 | 4 | no | — |
| 649 | C4⋊C4 | — | 34 | 4 | no | — |
| 650 | C4⋊C4 | — | 34 | 4 | no | — |
| 651 | C4⋊C4 | — | 34 | 4 | no | — |
| 652 | C4⋊C4 | — | 34 | 4 | no | — |
| 653 | C4⋊C4 | C23×D17 | 1 | 4 | yes | — |
| 654 | C22⋊C4 | — | 2 | 2 | no | — |
| 655 | C22⋊C4 | — | 2 | 4 | no | — |
| 656 | C22⋊C4 | — | 2 | 4 | no | — |
| 657 | C22⋊C4 | — | 34 | 4 | no | — |
| 658 | C22⋊C4 | — | 34 | 4 | no | — |
| 659 | C22⋊C4 | — | 34 | 4 | no | — |
| 660 | C22⋊C4 | — | 34 | 4 | no | — |
| 661 | C22⋊C4 | — | 34 | 4 | no | — |
| 662 | C22⋊C4 | — | 34 | 2 | no | — |
| 663 | C22⋊C4 | — | 34 | 4 | no | — |
| 664 | C22⋊C4 | — | 34 | 4 | no | — |
| 665 | C42 | — | 2 | 2 | no | — |
| 666 | C42 | — | 34 | 4 | no | — |
| 667 | C42 | — | 34 | 2 | no | — |
| 668 | C23 | — | 17 | 1 | no | — |
| 669 | C23 | — | 17 | 1 | no | — |
| 670 | C23 | — | 17 | 2 | no | — |
| 671 | C23 | — | 34 | 4 | no | — |
| 672 | C23 | — | 34 | 2 | no | — |
| 673 | C23 | — | 34 | 4 | no | — |
| 674 | C23 | — | 34 | 8 | no | — |
| 675 | C23 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 676 | C23 | C2×D4×D17 | 1 | 2 | yes | — |
| 677 | Q8 | — | 2 | 4 | no | — |
| 678 | Q8 | — | 2 | 4 | no | — |
| 679 | Q8 | — | 4 | 1 | no | — |
| 680 | Q8 | — | 4 | 4 | no | — |
| 681 | Q8 | — | 34 | 4 | no | — |
| 682 | Q8 | — | 34 | 4 | no | — |
| 683 | Q8 | — | 68 | 2 | no | — |
| 684 | Q8 | — | 68 | 1 | no | — |
| 685 | Q8 | — | 68 | 4 | no | — |
| 686 | Q8 | — | 68 | 8 | no | — |
| 687 | Q8 | — | 68 | 8 | no | — |
| 688 | D4 | — | 4 | 2 | no | — |
| 689 | D4 | — | 4 | 1 | no | — |
| 690 | D4 | — | 68 | 2 | no | — |
| 691 | D4 | — | 68 | 1 | no | — |
| 692 | D4 | — | 68 | 2 | no | — |
| 693 | D4 | — | 68 | 2 | no | — |
| 694 | D4 | — | 68 | 2 | no | — |
| 695 | C2×C4 | — | 2 | 1 | no | — |
| 696 | C2×C4 | — | 2 | 1 | no | — |
| 697 | C2×C4 | — | 2 | 2 | no | — |
| 698 | C2×C4 | — | 2 | 2 | no | — |
| 699 | C2×C4 | — | 2 | 4 | no | — |
| 700 | C2×C4 | — | 2 | 4 | no | — |
| 701 | C2×C4 | — | 4 | 4 | no | — |
| 702 | C2×C4 | — | 17 | 1 | no | — |
| 703 | C2×C4 | — | 17 | 2 | no | — |
| 704 | C2×C4 | — | 17 | 2 | no | — |
| 705 | C2×C4 | — | 17 | 2 | no | — |
| 706 | C2×C4 | — | 17 | 1 | no | — |
| 707 | C2×C4 | — | 34 | 4 | no | — |
| 708 | C2×C4 | — | 34 | 2 | no | — |
| 709 | C2×C4 | — | 34 | 4 | no | — |
| 710 | C2×C4 | — | 34 | 2 | no | — |
| 711 | C2×C4 | — | 34 | 4 | no | — |
| 712 | C2×C4 | — | 34 | 2 | no | — |
| 713 | C2×C4 | — | 34 | 1 | no | — |
| 714 | C2×C4 | — | 34 | 1 | no | — |
| 715 | C2×C4 | — | 34 | 2 | no | — |
| 716 | C2×C4 | — | 34 | 2 | no | — |
| 717 | C2×C4 | — | 34 | 4 | no | — |
| 718 | C2×C4 | — | 34 | 4 | no | — |
| 719 | C2×C4 | — | 68 | 8 | no | — |
| 720 | C2×C4 | — | 68 | 8 | no | — |
| 721 | C2×C4 | — | 68 | 8 | no | — |
| 722 | C2×C4 | — | 68 | 4 | no | — |
| 723 | C2×C4 | C2×D4×D17 | 1 | 2 | yes | — |
| 724 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 725 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 726 | C8 | — | 2 | 2 | no | — |
| 727 | C8 | — | 2 | 2 | no | — |
| 728 | C8 | — | 34 | 2 | no | — |
| 729 | C8 | — | 34 | 2 | no | — |
| 730 | C22 | — | 2 | 2 | no | — |
| 731 | C22 | — | 2 | 1 | no | — |
| 732 | C22 | — | 2 | 2 | no | — |
| 733 | C22 | — | 2 | 4 | no | — |
| 734 | C22 | — | 17 | 2 | no | — |
| 735 | C22 | — | 17 | 4 | no | — |
| 736 | C22 | — | 34 | 2 | no | — |
| 737 | C22 | — | 34 | 1 | no | — |
| 738 | C22 | — | 34 | 2 | no | — |
| 739 | C22 | — | 34 | 4 | no | — |
| 740 | C22 | — | 68 | 8 | no | — |
| 741 | C22 | — | 68 | 4 | no | — |
| 742 | C22 | C22×D4×D17 | 1 | 1 | yes | characteristic |
| 743 | C4 | — | 2 | 2 | no | — |
| 744 | C4 | — | 2 | 1 | no | — |
| 745 | C4 | — | 4 | 4 | no | — |
| 746 | C4 | — | 4 | 4 | no | — |
| 747 | C4 | — | 17 | 2 | no | — |
| 748 | C4 | — | 34 | 2 | no | — |
| 749 | C4 | — | 34 | 1 | no | — |
| 750 | C4 | — | 68 | 4 | no | — |
| 751 | C4 | — | 68 | 4 | no | — |
| 752 | C4 | H(5,𝔽2)×D17 | 1 | 1 | yes | characteristic |
| 753 | C4 | H(5,𝔽2)×D17 | 1 | 1 | yes | characteristic |
| 754 | C2 | — | 4 | 2 | no | — |
| 755 | C2 | — | 4 | 1 | no | — |
| 756 | C2 | — | 17 | 4 | no | — |
| 757 | C2 | — | 68 | 2 | no | — |
| 758 | C2 | — | 68 | 1 | no | — |
| 759 | C2 | D17×#534 | 1 | 1 | yes | characteristic |
| 760 | C2 | D17×#578 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta