Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1498 conjugacy classes of subgroups.
The subgroup lattice has 864 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #14542541 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14538038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14538034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #14532000 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #14527754 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #14527737 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #14527720 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #14527703 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #14527299 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #14527120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C17×#1507 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#10587691 | — | 2 | 1 | no | — |
| 13 | C22×#63252 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×#10587594 | — | 2 | 1 | no | — |
| 15 | C2×#10587618 | — | 2 | 1 | no | — |
| 16 | #11763460 | — | 2 | 1 | no | — |
| 17 | #11763459 | — | 2 | 1 | no | — |
| 18 | #11763449 | — | 2 | 2 | no | — |
| 19 | #11763448 | — | 2 | 2 | no | — |
| 20 | #11763443 | — | 2 | 1 | no | — |
| 21 | D4×C22⋊D17 | — | 2 | 1 | no | — |
| 22 | #11763386 | C22 | 1 | 2 | yes | — |
| 23 | #11763368 | — | 2 | 1 | no | — |
| 24 | #11763367 | C22 | 1 | 2 | yes | — |
| 25 | #11763354 | — | 2 | 1 | no | — |
| 26 | C2×#10587616 | C22 | 1 | 1 | yes | characteristic |
| 27 | #121×D17 | — | 2 | 1 | no | — |
| 28 | C2×C4×D68 | — | 2 | 1 | no | — |
| 29 | C2×C4×C22⋊D17 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11762956 | — | 2 | 2 | no | — |
| 31 | #11762952 | — | 2 | 2 | no | — |
| 32 | #11762950 | C22 | 1 | 2 | yes | complemented |
| 33 | #11762947 | C22 | 1 | 2 | yes | complemented |
| 34 | #11762945 | C22 | 1 | 2 | yes | complemented |
| 35 | #11762942 | C22 | 1 | 2 | yes | complemented |
| 36 | #11762811 | — | 2 | 1 | no | — |
| 37 | #11762808 | — | 2 | 1 | no | — |
| 38 | #11762773 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #11762730 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #11762727 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #11762725 | — | 2 | 1 | no | — |
| 42 | #11762722 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #11762719 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #11762718 | — | 2 | 1 | no | — |
| 45 | C4×#63227 | — | 2 | 1 | no | — |
| 46 | #11762542 | C22 | 1 | 2 | yes | complemented |
| 47 | #11762542 | C22 | 1 | 2 | yes | complemented |
| 48 | #11762534 | C22 | 1 | 2 | yes | complemented |
| 49 | #11762532 | C22 | 1 | 2 | yes | complemented |
| 50 | C2×C17×#121 | C22 | 1 | 1 | yes | characteristic |
| 51 | C17×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C4×C22⋊C4×C17 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C17×#327 | C22 | 1 | 2 | yes | complemented |
| 54 | C17×#327 | C22 | 1 | 2 | yes | complemented |
| 55 | C22×D4×C17 | — | 2 | 1 | no | — |
| 56 | C22×D4×C17 | D4 | 1 | 1 | yes | characteristic, complemented |
| 57 | C23×C4×C17 | C23 | 1 | 1 | yes | characteristic |
| 58 | C22×C22⋊D17 | — | 2 | 2 | no | — |
| 59 | C22×C22⋊D17 | — | 2 | 1 | no | — |
| 60 | C22×C22⋊D17 | — | 2 | 1 | no | — |
| 61 | C22×C22⋊D17 | D4 | 1 | 1 | yes | characteristic |
| 62 | #10587691 | — | 4 | 4 | no | — |
| 63 | #10587691 | — | 4 | 4 | no | — |
| 64 | C2×#63254 | — | 2 | 2 | no | — |
| 65 | C2×#63254 | — | 2 | 2 | no | — |
| 66 | C2×D4×D17 | — | 2 | 2 | no | — |
| 67 | C2×D4×D17 | — | 2 | 2 | no | — |
| 68 | C2×D4×D17 | — | 2 | 1 | no | — |
| 69 | C2×#63252 | — | 2 | 2 | no | — |
| 70 | C2×#63252 | — | 2 | 1 | no | — |
| 71 | C2×#63252 | — | 2 | 1 | no | — |
| 72 | C2×#63252 | — | 2 | 1 | no | — |
| 73 | C2×#63252 | — | 2 | 1 | no | — |
| 74 | C2×#63252 | — | 4 | 4 | no | — |
| 75 | C22×D68 | — | 2 | 1 | no | — |
| 76 | C22×D68 | D4 | 1 | 1 | yes | characteristic, complemented |
| 77 | C22×D68 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×C4×D17 | — | 2 | 1 | no | — |
| 79 | C22×C4×D17 | D4 | 1 | 1 | yes | characteristic |
| 80 | C22×Dic34 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×M16×C17 | — | 2 | 1 | no | — |
| 82 | C17×#121 | — | 2 | 1 | no | — |
| 83 | C17×#121 | — | 2 | 1 | no | — |
| 84 | C17×#121 | D4 | 1 | 2 | yes | complemented |
| 85 | C17×#121 | C23 | 1 | 2 | yes | — |
| 86 | C2×C4⋊C4×C17 | D4 | 1 | 1 | yes | characteristic, complemented |
| 87 | C2×C22⋊C4×C17 | — | 2 | 1 | no | — |
| 88 | C2×C22⋊C4×C17 | — | 2 | 1 | no | — |
| 89 | C2×C42×C17 | — | 2 | 1 | no | — |
| 90 | #10587639 | — | 2 | 2 | no | — |
| 91 | C2×C22⋊Dic17 | D4 | 1 | 1 | yes | characteristic |
| 92 | #10587626 | — | 2 | 1 | no | — |
| 93 | #10587625 | — | 2 | 2 | no | — |
| 94 | #10587625 | — | 2 | 2 | no | — |
| 95 | #10587625 | — | 2 | 2 | no | — |
| 96 | #10587624 | — | 2 | 1 | no | — |
| 97 | #10587623 | — | 2 | 2 | no | — |
| 98 | #10587623 | — | 2 | 2 | no | — |
| 99 | #10587621 | — | 2 | 2 | no | — |
| 100 | D4×Dic17 | — | 2 | 1 | no | — |
| 101 | C2×#63229 | — | 2 | 2 | no | — |
| 102 | #10587618 | — | 4 | 4 | no | — |
| 103 | C2×#63228 | — | 2 | 2 | no | — |
| 104 | #10587616 | — | 2 | 1 | no | — |
| 105 | #10587616 | — | 2 | 1 | no | — |
| 106 | #10587616 | D4 | 1 | 2 | yes | complemented |
| 107 | #10587616 | C23 | 1 | 2 | yes | — |
| 108 | #10587615 | — | 2 | 2 | no | — |
| 109 | C4×C22⋊D17 | — | 2 | 1 | no | — |
| 110 | C4×C22⋊D17 | — | 2 | 1 | no | — |
| 111 | C4×C22⋊D17 | — | 2 | 1 | no | — |
| 112 | C4×C22⋊D17 | — | 2 | 1 | no | — |
| 113 | C2×#63227 | — | 2 | 1 | no | — |
| 114 | C2×#63227 | — | 2 | 1 | no | — |
| 115 | C2×#63227 | — | 2 | 1 | no | — |
| 116 | C2×#63227 | — | 2 | 1 | no | — |
| 117 | C2×#63227 | — | 2 | 1 | no | — |
| 118 | C2×#63227 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×C4⋊Dic17 | — | 2 | 1 | no | — |
| 120 | C2×C4⋊Dic17 | D4 | 1 | 1 | yes | characteristic, complemented |
| 121 | C2×#63225 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C4×Dic17 | D4 | 1 | 1 | yes | characteristic |
| 123 | C2×#63223 | — | 2 | 1 | no | — |
| 124 | #10587594 | — | 4 | 4 | no | — |
| 125 | C2×D136 | — | 2 | 2 | no | — |
| 126 | C2×#63219 | — | 2 | 2 | no | — |
| 127 | #10587582 | — | 2 | 2 | no | — |
| 128 | #10587581 | — | 2 | 1 | no | — |
| 129 | #10587580 | — | 2 | 2 | no | — |
| 130 | #10587579 | — | 2 | 1 | no | — |
| 131 | C4⋊C4×D17 | — | 2 | 1 | no | — |
| 132 | #10587574 | — | 2 | 1 | no | — |
| 133 | #10587571 | — | 2 | 2 | no | — |
| 134 | #10587570 | — | 2 | 2 | no | — |
| 135 | #10587570 | — | 2 | 2 | no | — |
| 136 | #10587569 | — | 2 | 2 | no | — |
| 137 | #10587568 | — | 2 | 2 | no | — |
| 138 | #10587567 | — | 2 | 2 | no | — |
| 139 | C22⋊C4×D17 | — | 2 | 2 | no | — |
| 140 | #10587564 | — | 2 | 2 | no | — |
| 141 | C4×D68 | — | 4 | 4 | no | — |
| 142 | C17×C22⋊C8 | — | 2 | 1 | no | — |
| 143 | C17×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 144 | C17×#95 | C23 | 1 | 1 | yes | characteristic |
| 145 | C17×#95 | C23 | 1 | 1 | yes | characteristic |
| 146 | #10587502 | — | 2 | 1 | no | — |
| 147 | #10587502 | — | 2 | 1 | no | — |
| 148 | C22⋊#3622 | — | 2 | 1 | no | — |
| 149 | C22⋊#3622 | C23 | 1 | 2 | yes | — |
| 150 | #10587492 | — | 2 | 2 | no | — |
| 151 | #10587487 | — | 2 | 2 | no | — |
| 152 | #10587481 | — | 2 | 2 | no | — |
| 153 | #10587480 | — | 2 | 2 | no | — |
| 154 | C24×C17 | — | 2 | 1 | no | — |
| 155 | C24×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 156 | C23×D17 | — | 2 | 1 | no | — |
| 157 | C23×D17 | — | 2 | 2 | no | — |
| 158 | C23×D17 | — | 2 | 1 | no | — |
| 159 | C23×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C2×D4×C17 | — | 2 | 2 | no | — |
| 161 | C2×D4×C17 | — | 2 | 2 | no | — |
| 162 | C2×D4×C17 | — | 2 | 1 | no | — |
| 163 | C2×D4×C17 | — | 4 | 2 | no | — |
| 164 | C2×D4×C17 | — | 4 | 2 | no | — |
| 165 | C2×D4×C17 | — | 4 | 2 | no | — |
| 166 | C2×D4×C17 | C2×D4 | 1 | 2 | yes | — |
| 167 | C22×C4×C17 | — | 2 | 1 | no | — |
| 168 | C22×C4×C17 | — | 2 | 1 | no | — |
| 169 | C22×C4×C17 | — | 2 | 1 | no | — |
| 170 | C22×C4×C17 | — | 4 | 2 | no | — |
| 171 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 172 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C22×C4×C17 | C24 | 1 | 1 | yes | characteristic |
| 177 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 178 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 179 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 180 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 181 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 182 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 183 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 184 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 185 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 186 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 187 | C2×C22⋊D17 | — | 4 | 2 | no | — |
| 188 | C2×C22⋊D17 | — | 4 | 8 | no | — |
| 189 | C2×C22⋊D17 | — | 4 | 2 | no | — |
| 190 | C2×C22⋊D17 | — | 4 | 2 | no | — |
| 191 | C2×C22⋊D17 | — | 4 | 2 | no | — |
| 192 | C2×C22⋊D17 | — | 4 | 1 | no | — |
| 193 | C2×C22⋊D17 | — | 4 | 1 | no | — |
| 194 | C22×Dic17 | — | 2 | 2 | no | — |
| 195 | C22×Dic17 | — | 2 | 1 | no | — |
| 196 | C22×Dic17 | — | 2 | 1 | no | — |
| 197 | C22×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C22×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C22×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | #63254 | — | 4 | 4 | no | — |
| 201 | #63254 | — | 4 | 8 | no | — |
| 202 | #63254 | — | 4 | 4 | no | — |
| 203 | D4×D17 | — | 4 | 8 | no | — |
| 204 | D4×D17 | — | 4 | 4 | no | — |
| 205 | D4×D17 | — | 4 | 4 | no | — |
| 206 | D4×D17 | — | 8 | 2 | no | — |
| 207 | #63252 | — | 2 | 4 | no | — |
| 208 | #63252 | — | 2 | 4 | no | — |
| 209 | #63252 | — | 4 | 2 | no | — |
| 210 | #63252 | — | 4 | 2 | no | — |
| 211 | #63252 | — | 4 | 2 | no | — |
| 212 | #63252 | — | 4 | 2 | no | — |
| 213 | #63252 | — | 4 | 8 | no | — |
| 214 | #63252 | — | 4 | 2 | no | — |
| 215 | #63252 | — | 4 | 2 | no | — |
| 216 | C2×D68 | — | 2 | 1 | no | — |
| 217 | C2×D68 | — | 2 | 1 | no | — |
| 218 | C2×D68 | — | 2 | 2 | no | — |
| 219 | C2×D68 | — | 2 | 1 | no | — |
| 220 | C2×D68 | — | 4 | 2 | no | — |
| 221 | C2×D68 | — | 4 | 2 | no | — |
| 222 | C2×D68 | — | 4 | 2 | no | — |
| 223 | C2×D68 | — | 4 | 2 | no | — |
| 224 | C2×D68 | — | 4 | 2 | no | — |
| 225 | C2×D68 | C2×D4 | 1 | 2 | yes | — |
| 226 | C2×C4×D17 | — | 2 | 4 | no | — |
| 227 | C2×C4×D17 | — | 2 | 2 | no | — |
| 228 | C2×C4×D17 | — | 2 | 2 | no | — |
| 229 | C2×C4×D17 | — | 2 | 1 | no | — |
| 230 | C2×C4×D17 | — | 2 | 1 | no | — |
| 231 | C2×C4×D17 | — | 4 | 2 | no | — |
| 232 | C2×C4×D17 | — | 4 | 1 | no | — |
| 233 | C2×C4×D17 | — | 4 | 1 | no | — |
| 234 | C2×C4×D17 | — | 4 | 2 | no | — |
| 235 | C2×Dic34 | — | 2 | 1 | no | — |
| 236 | C2×Dic34 | — | 2 | 1 | no | — |
| 237 | C2×Dic34 | — | 2 | 2 | no | — |
| 238 | C2×Dic34 | — | 4 | 2 | no | — |
| 239 | M16×C17 | — | 4 | 2 | no | — |
| 240 | C2×C8×C17 | — | 2 | 2 | no | — |
| 241 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 242 | C4⋊C4×C17 | C2×D4 | 1 | 2 | yes | — |
| 243 | C22⋊C4×C17 | — | 2 | 2 | no | — |
| 244 | C22⋊C4×C17 | — | 2 | 2 | no | — |
| 245 | C22⋊C4×C17 | — | 4 | 2 | no | — |
| 246 | C42×C17 | — | 4 | 2 | no | — |
| 247 | C22⋊Dic17 | — | 2 | 2 | no | — |
| 248 | C22⋊Dic17 | — | 2 | 2 | no | — |
| 249 | C22⋊Dic17 | — | 2 | 1 | no | — |
| 250 | C22⋊Dic17 | — | 2 | 1 | no | — |
| 251 | #63229 | — | 4 | 4 | no | — |
| 252 | #63228 | — | 4 | 4 | no | — |
| 253 | #63227 | — | 2 | 2 | no | — |
| 254 | #63227 | — | 2 | 2 | no | — |
| 255 | #63227 | — | 2 | 2 | no | — |
| 256 | #63227 | — | 2 | 1 | no | — |
| 257 | #63227 | — | 2 | 1 | no | — |
| 258 | #63227 | — | 2 | 2 | no | — |
| 259 | #63227 | — | 4 | 2 | no | — |
| 260 | #63227 | — | 4 | 2 | no | — |
| 261 | #63227 | — | 4 | 2 | no | — |
| 262 | #63227 | — | 4 | 2 | no | — |
| 263 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 264 | C4⋊Dic17 | — | 4 | 2 | no | — |
| 265 | C4⋊Dic17 | C2×D4 | 1 | 2 | yes | — |
| 266 | #63225 | — | 2 | 2 | no | — |
| 267 | #63225 | — | 2 | 2 | no | — |
| 268 | #63225 | — | 2 | 1 | no | — |
| 269 | #63225 | — | 2 | 1 | no | — |
| 270 | C4×Dic17 | — | 2 | 1 | no | — |
| 271 | C4×Dic17 | — | 2 | 1 | no | — |
| 272 | #63223 | — | 4 | 2 | no | — |
| 273 | C2×#3622 | — | 2 | 2 | no | — |
| 274 | D136 | — | 4 | 4 | no | — |
| 275 | #63219 | — | 4 | 4 | no | — |
| 276 | #18166 | — | 17 | 1 | no | maximal, Sylow |
| 277 | C23×C17 | — | 2 | 1 | no | — |
| 278 | C23×C17 | — | 2 | 1 | no | — |
| 279 | C23×C17 | — | 2 | 2 | no | — |
| 280 | C23×C17 | — | 4 | 1 | no | — |
| 281 | C23×C17 | — | 4 | 1 | no | — |
| 282 | C23×C17 | — | 4 | 2 | no | — |
| 283 | C23×C17 | — | 8 | 1 | no | — |
| 284 | C23×C17 | — | 8 | 1 | no | — |
| 285 | C23×C17 | #120 | 1 | 1 | yes | characteristic |
| 286 | C23×C17 | #120 | 1 | 1 | yes | characteristic |
| 287 | C23×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 288 | C22×D17 | — | 2 | 1 | no | — |
| 289 | C22×D17 | — | 2 | 1 | no | — |
| 290 | C22×D17 | — | 2 | 2 | no | — |
| 291 | C22×D17 | — | 2 | 2 | no | — |
| 292 | C22×D17 | — | 4 | 4 | no | — |
| 293 | C22×D17 | — | 4 | 1 | no | — |
| 294 | C22×D17 | — | 4 | 1 | no | — |
| 295 | C22×D17 | — | 4 | 1 | no | — |
| 296 | C22×D17 | — | 4 | 1 | no | — |
| 297 | C22×D17 | — | 4 | 1 | no | — |
| 298 | C22×D17 | — | 4 | 1 | no | — |
| 299 | C22×D17 | — | 4 | 1 | no | — |
| 300 | C22×D17 | — | 4 | 1 | no | — |
| 301 | C22×D17 | — | 4 | 2 | no | — |
| 302 | C22×D17 | — | 8 | 1 | no | — |
| 303 | C22×D17 | — | 8 | 1 | no | — |
| 304 | C22×D17 | — | 8 | 2 | no | — |
| 305 | C22×D17 | — | 8 | 2 | no | — |
| 306 | C22×D17 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 307 | D4×C17 | — | 4 | 2 | no | — |
| 308 | D4×C17 | — | 4 | 4 | no | — |
| 309 | D4×C17 | — | 4 | 2 | no | — |
| 310 | D4×C17 | — | 4 | 2 | no | — |
| 311 | D4×C17 | — | 4 | 2 | no | — |
| 312 | C2×C4×C17 | — | 2 | 2 | no | — |
| 313 | C2×C4×C17 | — | 2 | 2 | no | — |
| 314 | C2×C4×C17 | — | 2 | 2 | no | — |
| 315 | C2×C4×C17 | — | 2 | 2 | no | — |
| 316 | C2×C4×C17 | — | 2 | 2 | no | — |
| 317 | C2×C4×C17 | — | 4 | 1 | no | — |
| 318 | C2×C4×C17 | — | 4 | 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 | — | 4 | 1 | no | — |
| 323 | C2×C4×C17 | — | 4 | 1 | no | — |
| 324 | C2×C4×C17 | — | 4 | 1 | no | — |
| 325 | C2×C4×C17 | — | 4 | 1 | no | — |
| 326 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 327 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 328 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 329 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 330 | C22⋊D17 | — | 2 | 4 | no | — |
| 331 | C22⋊D17 | — | 2 | 4 | no | — |
| 332 | C22⋊D17 | — | 4 | 4 | no | — |
| 333 | C22⋊D17 | — | 4 | 4 | no | — |
| 334 | C22⋊D17 | — | 4 | 4 | no | — |
| 335 | C22⋊D17 | — | 4 | 4 | no | — |
| 336 | C22⋊D17 | — | 4 | 4 | no | — |
| 337 | C22⋊D17 | — | 4 | 2 | no | — |
| 338 | C22⋊D17 | — | 4 | 2 | no | — |
| 339 | C22⋊D17 | — | 8 | 2 | no | — |
| 340 | C22⋊D17 | — | 8 | 2 | no | — |
| 341 | C2×Dic17 | — | 2 | 1 | no | — |
| 342 | C2×Dic17 | — | 2 | 1 | no | — |
| 343 | C2×Dic17 | — | 2 | 2 | no | — |
| 344 | C2×Dic17 | — | 2 | 1 | no | — |
| 345 | C2×Dic17 | — | 2 | 1 | no | — |
| 346 | C2×Dic17 | — | 2 | 2 | no | — |
| 347 | C2×Dic17 | — | 4 | 4 | no | — |
| 348 | C2×Dic17 | — | 4 | 1 | no | — |
| 349 | C2×Dic17 | — | 4 | 2 | no | — |
| 350 | C2×Dic17 | — | 4 | 1 | no | — |
| 351 | C2×Dic17 | — | 4 | 1 | no | — |
| 352 | C2×Dic17 | — | 4 | 1 | no | — |
| 353 | C2×Dic17 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 354 | D68 | — | 2 | 2 | no | — |
| 355 | D68 | — | 2 | 2 | no | — |
| 356 | D68 | — | 4 | 2 | no | — |
| 357 | D68 | — | 4 | 1 | no | — |
| 358 | D68 | — | 4 | 1 | no | — |
| 359 | D68 | — | 4 | 4 | no | — |
| 360 | D68 | — | 4 | 8 | no | — |
| 361 | D68 | — | 4 | 2 | no | — |
| 362 | C4×D17 | — | 4 | 4 | no | — |
| 363 | C4×D17 | — | 4 | 4 | no | — |
| 364 | C4×D17 | — | 4 | 4 | no | — |
| 365 | C4×D17 | — | 4 | 4 | no | — |
| 366 | C4×D17 | — | 4 | 2 | no | — |
| 367 | C4×D17 | — | 8 | 1 | no | — |
| 368 | Dic34 | — | 2 | 2 | no | — |
| 369 | Dic34 | — | 2 | 2 | no | — |
| 370 | Dic34 | — | 4 | 4 | no | — |
| 371 | Dic34 | — | 4 | 1 | no | — |
| 372 | Dic34 | — | 4 | 1 | no | — |
| 373 | C8×C17 | — | 4 | 2 | no | — |
| 374 | #3622 | — | 4 | 2 | no | — |
| 375 | #3496 | — | 17 | 1 | no | — |
| 376 | #3006 | — | 17 | 1 | no | — |
| 377 | #3006 | — | 17 | 1 | no | — |
| 378 | #2388 | — | 17 | 1 | no | — |
| 379 | #1604 | — | 17 | 2 | no | — |
| 380 | #1601 | — | 17 | 2 | no | — |
| 381 | #1598 | — | 17 | 2 | no | — |
| 382 | #1595 | — | 17 | 2 | no | — |
| 383 | #1507 | — | 17 | 1 | no | — |
| 384 | #1507 | D17 | 1 | 1 | yes | characteristic, complemented |
| 385 | #1465 | — | 17 | 1 | no | — |
| 386 | C22×C17 | — | 2 | 1 | no | — |
| 387 | C22×C17 | — | 2 | 1 | no | — |
| 388 | C22×C17 | — | 2 | 1 | no | — |
| 389 | C22×C17 | — | 2 | 1 | no | — |
| 390 | C22×C17 | — | 2 | 1 | no | — |
| 391 | C22×C17 | — | 2 | 1 | no | — |
| 392 | C22×C17 | — | 2 | 1 | no | — |
| 393 | C22×C17 | — | 2 | 1 | no | — |
| 394 | C22×C17 | — | 4 | 2 | no | — |
| 395 | C22×C17 | — | 4 | 2 | no | — |
| 396 | C22×C17 | — | 4 | 2 | no | — |
| 397 | C22×C17 | — | 8 | 1 | no | — |
| 398 | C22×C17 | — | 8 | 1 | no | — |
| 399 | C22×C17 | — | 16 | 2 | no | — |
| 400 | C22×C17 | C2×#120 | 1 | 1 | yes | characteristic |
| 401 | C22×C17 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 402 | C22×C17 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 403 | C2×D17 | — | 2 | 2 | no | — |
| 404 | C2×D17 | — | 4 | 1 | no | — |
| 405 | C2×D17 | — | 4 | 1 | no | — |
| 406 | C2×D17 | — | 4 | 2 | no | — |
| 407 | C2×D17 | — | 4 | 2 | no | — |
| 408 | C2×D17 | — | 4 | 2 | no | — |
| 409 | C2×D17 | — | 4 | 2 | no | — |
| 410 | C2×D17 | — | 4 | 2 | no | — |
| 411 | C2×D17 | — | 4 | 2 | no | — |
| 412 | C2×D17 | — | 4 | 2 | no | — |
| 413 | C2×D17 | — | 8 | 1 | no | — |
| 414 | C2×D17 | — | 8 | 1 | no | — |
| 415 | C2×D17 | — | 8 | 1 | no | — |
| 416 | C2×D17 | — | 8 | 1 | no | — |
| 417 | C2×D17 | — | 8 | 1 | no | — |
| 418 | C2×D17 | — | 16 | 4 | no | — |
| 419 | C2×D17 | — | 16 | 2 | no | — |
| 420 | C4×C17 | — | 2 | 1 | no | — |
| 421 | C4×C17 | — | 2 | 1 | no | — |
| 422 | C4×C17 | — | 2 | 1 | no | — |
| 423 | C4×C17 | — | 4 | 2 | no | — |
| 424 | C4×C17 | — | 4 | 2 | no | — |
| 425 | C4×C17 | — | 8 | 1 | no | — |
| 426 | C4×C17 | B(4,𝔽2) | 1 | 2 | yes | — |
| 427 | Dic17 | — | 2 | 2 | no | — |
| 428 | Dic17 | — | 4 | 2 | no | — |
| 429 | Dic17 | — | 4 | 1 | no | — |
| 430 | Dic17 | — | 4 | 2 | no | — |
| 431 | Dic17 | — | 4 | 1 | no | — |
| 432 | C2×H(5,𝔽2) | — | 34 | 1 | no | — |
| 433 | C22×#41 | — | 17 | 1 | no | — |
| 434 | C2×AGL(1,ℤ/8) | — | 34 | 1 | no | — |
| 435 | C2×AGL(1,ℤ/8) | — | 34 | 1 | no | — |
| 436 | #547 | — | 34 | 1 | no | — |
| 437 | #547 | — | 34 | 1 | no | — |
| 438 | #546 | — | 34 | 2 | no | — |
| 439 | #546 | — | 34 | 2 | no | — |
| 440 | D42 | — | 34 | 1 | no | — |
| 441 | D42 | — | 34 | 1 | no | — |
| 442 | #537 | — | 17 | 2 | no | — |
| 443 | #534 | — | 17 | 2 | no | — |
| 444 | #534 | — | 34 | 1 | no | — |
| 445 | #532 | — | 34 | 1 | no | — |
| 446 | C2×#121 | — | 17 | 1 | no | — |
| 447 | C2×#121 | — | 34 | 1 | no | — |
| 448 | C2×#121 | C2×D17 | 1 | 1 | yes | characteristic |
| 449 | C2×C4×D4 | — | 17 | 1 | no | — |
| 450 | C2×C4×D4 | — | 34 | 1 | no | — |
| 451 | #449 | — | 34 | 2 | no | — |
| 452 | #449 | — | 34 | 2 | no | — |
| 453 | #448 | — | 17 | 2 | no | — |
| 454 | #448 | — | 17 | 2 | no | — |
| 455 | #447 | — | 17 | 2 | no | — |
| 456 | #447 | — | 17 | 2 | no | — |
| 457 | #417 | — | 34 | 1 | no | — |
| 458 | #417 | — | 34 | 1 | no | — |
| 459 | #407 | — | 17 | 1 | no | — |
| 460 | #407 | C2×D17 | 1 | 1 | yes | characteristic, complemented |
| 461 | #395 | — | 17 | 1 | no | — |
| 462 | #394 | — | 17 | 1 | no | — |
| 463 | #394 | — | 34 | 1 | no | — |
| 464 | #393 | — | 17 | 1 | no | — |
| 465 | #392 | — | 17 | 1 | no | — |
| 466 | #392 | — | 34 | 1 | no | — |
| 467 | C4×C22⋊C4 | — | 34 | 1 | no | — |
| 468 | C4×C22⋊C4 | C2×D17 | 1 | 1 | yes | characteristic, complemented |
| 469 | #327 | — | 17 | 2 | no | — |
| 470 | #327 | — | 17 | 2 | no | — |
| 471 | #327 | C2×D17 | 1 | 2 | yes | complemented |
| 472 | #327 | C2×D17 | 1 | 2 | yes | complemented |
| 473 | #324 | — | 17 | 2 | no | — |
| 474 | #323 | — | 17 | 2 | no | — |
| 475 | C2×C17 | — | 2 | 1 | no | — |
| 476 | C2×C17 | — | 2 | 1 | no | — |
| 477 | C2×C17 | — | 4 | 1 | no | — |
| 478 | C2×C17 | — | 4 | 1 | no | — |
| 479 | C2×C17 | — | 8 | 2 | no | — |
| 480 | C2×C17 | #3003 | 1 | 1 | yes | characteristic |
| 481 | C2×C17 | #3018 | 1 | 1 | yes | characteristic |
| 482 | C2×C17 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 483 | D17 | — | 4 | 2 | no | — |
| 484 | D17 | — | 8 | 2 | no | — |
| 485 | D17 | — | 8 | 2 | no | — |
| 486 | H(5,𝔽2) | — | 68 | 4 | no | — |
| 487 | H(5,𝔽2) | — | 68 | 4 | no | — |
| 488 | C2×#41 | — | 34 | 2 | no | — |
| 489 | C2×#41 | — | 34 | 2 | no | — |
| 490 | C2×#41 | — | 34 | 2 | no | — |
| 491 | C2×#41 | — | 34 | 1 | no | — |
| 492 | C2×#41 | — | 34 | 1 | no | — |
| 493 | C2×#41 | — | 34 | 1 | no | — |
| 494 | C2×#41 | — | 34 | 1 | no | — |
| 495 | C2×#41 | — | 68 | 4 | no | — |
| 496 | C22×Q8 | — | 17 | 1 | no | — |
| 497 | C22×D4 | — | 2 | 1 | no | — |
| 498 | C22×D4 | — | 17 | 1 | no | — |
| 499 | C22×D4 | — | 17 | 1 | no | — |
| 500 | C22×D4 | — | 17 | 1 | no | — |
| 501 | C22×D4 | — | 34 | 1 | no | — |
| 502 | C22×D4 | — | 34 | 2 | no | — |
| 503 | C22×D4 | — | 34 | 2 | no | — |
| 504 | C22×D4 | — | 34 | 1 | no | — |
| 505 | C22×D4 | — | 34 | 2 | no | — |
| 506 | C22×D4 | — | 34 | 1 | no | — |
| 507 | C22×D4 | — | 34 | 1 | no | — |
| 508 | C22×D4 | D68 | 1 | 1 | yes | characteristic, complemented |
| 509 | C23×C4 | — | 17 | 1 | no | — |
| 510 | C23×C4 | — | 34 | 1 | no | — |
| 511 | C23×C4 | C22×D17 | 1 | 1 | yes | characteristic |
| 512 | AGL(1,ℤ/8) | — | 68 | 4 | no | — |
| 513 | AGL(1,ℤ/8) | — | 68 | 4 | no | — |
| 514 | C2×SD16 | — | 34 | 2 | no | — |
| 515 | C2×SD16 | — | 34 | 2 | no | — |
| 516 | C2×D8 | — | 34 | 2 | no | — |
| 517 | C2×D8 | — | 34 | 2 | no | — |
| 518 | C2×M16 | — | 2 | 1 | no | — |
| 519 | C2×M16 | — | 34 | 1 | no | — |
| 520 | C4⋊Q8 | — | 34 | 1 | no | — |
| 521 | #127 | — | 34 | 1 | no | — |
| 522 | #124 | — | 34 | 2 | no | — |
| 523 | #123 | — | 34 | 2 | no | — |
| 524 | #123 | — | 34 | 2 | no | — |
| 525 | #123 | — | 34 | 2 | no | — |
| 526 | #123 | — | 34 | 2 | no | — |
| 527 | C22⋊Q8 | — | 34 | 2 | no | — |
| 528 | C22⋊Q8 | — | 34 | 2 | no | — |
| 529 | #121 | — | 2 | 1 | no | — |
| 530 | #121 | — | 2 | 1 | no | — |
| 531 | #121 | — | 17 | 2 | no | — |
| 532 | #121 | — | 17 | 2 | no | — |
| 533 | #121 | — | 34 | 2 | no | — |
| 534 | #121 | — | 34 | 2 | no | — |
| 535 | #121 | — | 34 | 1 | no | — |
| 536 | #121 | — | 34 | 2 | no | — |
| 537 | #121 | — | 34 | 2 | no | — |
| 538 | #121 | — | 34 | 1 | no | — |
| 539 | #121 | — | 34 | 2 | no | — |
| 540 | #121 | — | 34 | 1 | no | — |
| 541 | #121 | — | 34 | 1 | no | — |
| 542 | #121 | D68 | 1 | 2 | yes | complemented |
| 543 | #121 | C22×D17 | 1 | 2 | yes | — |
| 544 | #120 | — | 34 | 2 | no | — |
| 545 | #120 | — | 34 | 2 | no | — |
| 546 | #120 | — | 34 | 2 | no | — |
| 547 | #120 | — | 34 | 2 | no | — |
| 548 | C4×D4 | — | 34 | 2 | no | — |
| 549 | C4×D4 | — | 34 | 1 | no | — |
| 550 | C4×D4 | — | 34 | 1 | no | — |
| 551 | C4×D4 | — | 34 | 1 | no | — |
| 552 | C4×D4 | — | 34 | 1 | no | — |
| 553 | C4×D4 | — | 34 | 1 | no | — |
| 554 | C4×D4 | — | 34 | 1 | no | — |
| 555 | C4×D4 | — | 68 | 4 | no | — |
| 556 | C2×C4⋊C4 | — | 17 | 1 | no | — |
| 557 | C2×C4⋊C4 | — | 17 | 1 | no | — |
| 558 | C2×C4⋊C4 | — | 34 | 1 | no | — |
| 559 | C2×C4⋊C4 | — | 34 | 1 | no | — |
| 560 | C2×C4⋊C4 | D68 | 1 | 1 | yes | characteristic, complemented |
| 561 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 562 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 563 | C2×C22⋊C4 | — | 17 | 1 | no | — |
| 564 | C2×C22⋊C4 | — | 17 | 1 | no | — |
| 565 | C2×C22⋊C4 | — | 34 | 2 | no | — |
| 566 | C2×C22⋊C4 | — | 34 | 1 | no | — |
| 567 | C2×C22⋊C4 | — | 34 | 1 | no | — |
| 568 | C2×C22⋊C4 | — | 34 | 1 | no | — |
| 569 | C2×C22⋊C4 | — | 34 | 1 | no | — |
| 570 | C2×C22⋊C4 | — | 34 | 1 | no | — |
| 571 | C2×C42 | — | 2 | 1 | no | — |
| 572 | C2×C42 | — | 17 | 1 | no | — |
| 573 | #103 | — | 34 | 2 | no | — |
| 574 | #103 | — | 34 | 2 | no | — |
| 575 | #102 | — | 34 | 2 | no | — |
| 576 | #102 | — | 34 | 2 | no | — |
| 577 | C22⋊C8 | — | 2 | 1 | no | — |
| 578 | C22⋊C8 | — | 17 | 2 | no | — |
| 579 | C22⋊C8 | — | 34 | 1 | no | — |
| 580 | C22⋊C8 | C22×D17 | 1 | 2 | yes | — |
| 581 | #95 | — | 34 | 1 | no | — |
| 582 | #95 | — | 34 | 1 | no | — |
| 583 | #95 | C22×D17 | 1 | 1 | yes | characteristic |
| 584 | #95 | C22×D17 | 1 | 1 | yes | characteristic |
| 585 | C17 | #18166 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 586 | C24 | — | 2 | 1 | no | — |
| 587 | C24 | — | 17 | 1 | no | — |
| 588 | C24 | — | 34 | 2 | no | — |
| 589 | C24 | — | 34 | 1 | no | — |
| 590 | C24 | — | 34 | 1 | no | — |
| 591 | C24 | D4×D17 | 1 | 1 | yes | characteristic |
| 592 | #41 | — | 34 | 4 | no | — |
| 593 | #41 | — | 34 | 4 | no | — |
| 594 | #41 | — | 68 | 2 | no | — |
| 595 | #41 | — | 68 | 2 | no | — |
| 596 | #41 | — | 68 | 2 | no | — |
| 597 | #41 | — | 68 | 2 | no | — |
| 598 | #41 | — | 68 | 8 | no | — |
| 599 | #41 | — | 68 | 2 | no | — |
| 600 | #41 | — | 68 | 2 | no | — |
| 601 | #41 | — | 68 | 4 | no | — |
| 602 | #41 | — | 68 | 4 | no | — |
| 603 | #41 | — | 68 | 8 | no | — |
| 604 | C2×Q8 | — | 34 | 2 | no | — |
| 605 | C2×Q8 | — | 34 | 1 | no | — |
| 606 | C2×Q8 | — | 34 | 1 | no | — |
| 607 | C2×Q8 | — | 68 | 2 | no | — |
| 608 | C2×D4 | — | 2 | 2 | no | — |
| 609 | C2×D4 | — | 2 | 2 | no | — |
| 610 | C2×D4 | — | 2 | 1 | no | — |
| 611 | C2×D4 | — | 4 | 2 | no | — |
| 612 | C2×D4 | — | 4 | 2 | no | — |
| 613 | C2×D4 | — | 4 | 2 | no | — |
| 614 | C2×D4 | — | 17 | 2 | no | — |
| 615 | C2×D4 | — | 34 | 2 | no | — |
| 616 | C2×D4 | — | 34 | 2 | no | — |
| 617 | C2×D4 | — | 34 | 2 | no | — |
| 618 | C2×D4 | — | 34 | 1 | no | — |
| 619 | C2×D4 | — | 34 | 1 | no | — |
| 620 | C2×D4 | — | 34 | 2 | no | — |
| 621 | C2×D4 | — | 34 | 2 | no | — |
| 622 | C2×D4 | — | 34 | 2 | no | — |
| 623 | C2×D4 | — | 34 | 2 | no | — |
| 624 | C2×D4 | — | 34 | 2 | no | — |
| 625 | C2×D4 | — | 34 | 2 | no | — |
| 626 | C2×D4 | — | 34 | 1 | no | — |
| 627 | C2×D4 | — | 34 | 1 | no | — |
| 628 | C2×D4 | — | 34 | 1 | no | — |
| 629 | C2×D4 | — | 68 | 2 | no | — |
| 630 | C2×D4 | — | 68 | 2 | no | — |
| 631 | C2×D4 | — | 68 | 2 | no | — |
| 632 | C2×D4 | — | 68 | 2 | no | — |
| 633 | C2×D4 | — | 68 | 2 | no | — |
| 634 | C2×D4 | — | 68 | 2 | no | — |
| 635 | C2×D4 | — | 68 | 8 | no | — |
| 636 | C2×D4 | — | 68 | 4 | no | — |
| 637 | C2×D4 | — | 68 | 4 | no | — |
| 638 | C2×D4 | — | 68 | 8 | no | — |
| 639 | C2×D4 | — | 68 | 2 | no | — |
| 640 | C2×D4 | — | 68 | 2 | no | — |
| 641 | C2×D4 | — | 68 | 2 | no | — |
| 642 | C2×D4 | — | 68 | 1 | no | — |
| 643 | C2×D4 | — | 68 | 1 | no | — |
| 644 | C2×D4 | — | 136 | 2 | no | — |
| 645 | C2×D4 | C2×D68 | 1 | 2 | yes | — |
| 646 | C22×C4 | — | 2 | 1 | no | — |
| 647 | C22×C4 | — | 2 | 1 | no | — |
| 648 | C22×C4 | — | 2 | 1 | no | — |
| 649 | C22×C4 | — | 4 | 2 | no | — |
| 650 | C22×C4 | — | 17 | 1 | no | — |
| 651 | C22×C4 | — | 17 | 1 | no | — |
| 652 | C22×C4 | — | 17 | 1 | no | — |
| 653 | C22×C4 | — | 34 | 2 | no | — |
| 654 | C22×C4 | — | 34 | 2 | no | — |
| 655 | C22×C4 | — | 34 | 4 | no | — |
| 656 | C22×C4 | — | 34 | 2 | no | — |
| 657 | C22×C4 | — | 34 | 1 | no | — |
| 658 | C22×C4 | — | 34 | 1 | no | — |
| 659 | C22×C4 | — | 34 | 1 | no | — |
| 660 | C22×C4 | — | 34 | 1 | no | — |
| 661 | C22×C4 | — | 68 | 2 | no | — |
| 662 | C22×C4 | — | 68 | 2 | no | — |
| 663 | C22×C4 | — | 68 | 1 | no | — |
| 664 | C22×C4 | — | 68 | 1 | no | — |
| 665 | C22×C4 | C2×D68 | 1 | 1 | yes | characteristic |
| 666 | C22×C4 | C2×D68 | 1 | 1 | yes | characteristic |
| 667 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 668 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 669 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 670 | C22×C4 | C23×D17 | 1 | 1 | yes | characteristic |
| 671 | SD16 | — | 68 | 4 | no | — |
| 672 | SD16 | — | 68 | 4 | no | — |
| 673 | D8 | — | 68 | 4 | no | — |
| 674 | D8 | — | 68 | 4 | no | — |
| 675 | M16 | — | 4 | 2 | no | — |
| 676 | M16 | — | 68 | 2 | no | — |
| 677 | C2×C8 | — | 2 | 2 | no | — |
| 678 | C2×C8 | — | 34 | 2 | no | — |
| 679 | C4⋊C4 | — | 2 | 1 | no | — |
| 680 | C4⋊C4 | — | 17 | 2 | no | — |
| 681 | C4⋊C4 | — | 34 | 2 | no | — |
| 682 | C4⋊C4 | — | 34 | 2 | no | — |
| 683 | C4⋊C4 | — | 34 | 1 | no | — |
| 684 | C4⋊C4 | — | 34 | 1 | no | — |
| 685 | C4⋊C4 | — | 34 | 1 | no | — |
| 686 | C4⋊C4 | — | 68 | 2 | no | — |
| 687 | C4⋊C4 | C2×D68 | 1 | 2 | yes | — |
| 688 | C22⋊C4 | — | 2 | 2 | no | — |
| 689 | C22⋊C4 | — | 2 | 2 | no | — |
| 690 | C22⋊C4 | — | 4 | 2 | no | — |
| 691 | C22⋊C4 | — | 34 | 2 | no | — |
| 692 | C22⋊C4 | — | 34 | 2 | no | — |
| 693 | C22⋊C4 | — | 34 | 2 | no | — |
| 694 | C22⋊C4 | — | 34 | 2 | no | — |
| 695 | C22⋊C4 | — | 34 | 1 | no | — |
| 696 | C22⋊C4 | — | 34 | 1 | no | — |
| 697 | C22⋊C4 | — | 34 | 1 | no | — |
| 698 | C22⋊C4 | — | 34 | 2 | no | — |
| 699 | C22⋊C4 | — | 34 | 1 | no | — |
| 700 | C22⋊C4 | — | 34 | 2 | no | — |
| 701 | C22⋊C4 | — | 68 | 2 | no | — |
| 702 | C22⋊C4 | — | 68 | 2 | no | — |
| 703 | C22⋊C4 | — | 68 | 2 | no | — |
| 704 | C22⋊C4 | — | 68 | 2 | no | — |
| 705 | C42 | — | 4 | 2 | no | — |
| 706 | C42 | — | 34 | 1 | no | — |
| 707 | C42 | — | 34 | 1 | no | — |
| 708 | C23 | — | 2 | 1 | no | — |
| 709 | C23 | — | 2 | 1 | no | — |
| 710 | C23 | — | 2 | 2 | no | — |
| 711 | C23 | — | 4 | 1 | no | — |
| 712 | C23 | — | 4 | 1 | no | — |
| 713 | C23 | — | 4 | 2 | no | — |
| 714 | C23 | — | 8 | 1 | no | — |
| 715 | C23 | — | 8 | 1 | no | — |
| 716 | C23 | — | 17 | 2 | no | — |
| 717 | C23 | — | 34 | 2 | no | — |
| 718 | C23 | — | 34 | 1 | no | — |
| 719 | C23 | — | 34 | 1 | no | — |
| 720 | C23 | — | 34 | 2 | no | — |
| 721 | C23 | — | 68 | 2 | no | — |
| 722 | C23 | — | 68 | 1 | no | — |
| 723 | C23 | — | 68 | 1 | no | — |
| 724 | C23 | — | 68 | 1 | no | — |
| 725 | C23 | — | 68 | 1 | no | — |
| 726 | C23 | — | 68 | 1 | no | — |
| 727 | C23 | — | 68 | 4 | no | — |
| 728 | C23 | — | 68 | 1 | no | — |
| 729 | C23 | — | 68 | 1 | no | — |
| 730 | C23 | — | 68 | 1 | no | — |
| 731 | C23 | — | 136 | 1 | no | — |
| 732 | C23 | — | 136 | 1 | no | — |
| 733 | C23 | — | 136 | 2 | no | — |
| 734 | C23 | — | 136 | 2 | no | — |
| 735 | C23 | #10587568 | 1 | 1 | yes | characteristic |
| 736 | C23 | #10587568 | 1 | 1 | yes | characteristic |
| 737 | C23 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 738 | Q8 | — | 34 | 2 | no | — |
| 739 | Q8 | — | 34 | 2 | no | — |
| 740 | Q8 | — | 68 | 1 | no | — |
| 741 | Q8 | — | 68 | 1 | no | — |
| 742 | Q8 | — | 68 | 4 | no | — |
| 743 | D4 | — | 4 | 2 | no | — |
| 744 | D4 | — | 4 | 4 | no | — |
| 745 | D4 | — | 4 | 2 | no | — |
| 746 | D4 | — | 4 | 2 | no | — |
| 747 | D4 | — | 4 | 2 | no | — |
| 748 | D4 | — | 34 | 2 | no | — |
| 749 | D4 | — | 34 | 2 | no | — |
| 750 | D4 | — | 34 | 4 | no | — |
| 751 | D4 | — | 34 | 4 | no | — |
| 752 | D4 | — | 68 | 2 | no | — |
| 753 | D4 | — | 68 | 1 | no | — |
| 754 | D4 | — | 68 | 1 | no | — |
| 755 | D4 | — | 68 | 4 | no | — |
| 756 | D4 | — | 68 | 8 | no | — |
| 757 | D4 | — | 68 | 4 | no | — |
| 758 | D4 | — | 68 | 4 | no | — |
| 759 | D4 | — | 68 | 4 | no | — |
| 760 | D4 | — | 68 | 4 | no | — |
| 761 | D4 | — | 68 | 4 | no | — |
| 762 | D4 | — | 68 | 2 | no | — |
| 763 | D4 | — | 68 | 2 | no | — |
| 764 | D4 | — | 68 | 2 | no | — |
| 765 | D4 | — | 136 | 2 | no | — |
| 766 | D4 | — | 136 | 2 | no | — |
| 767 | C2×C4 | — | 2 | 2 | no | — |
| 768 | C2×C4 | — | 2 | 2 | no | — |
| 769 | C2×C4 | — | 2 | 2 | no | — |
| 770 | C2×C4 | — | 2 | 2 | no | — |
| 771 | C2×C4 | — | 2 | 2 | no | — |
| 772 | C2×C4 | — | 4 | 1 | no | — |
| 773 | C2×C4 | — | 4 | 1 | no | — |
| 774 | C2×C4 | — | 4 | 1 | no | — |
| 775 | C2×C4 | — | 4 | 1 | no | — |
| 776 | C2×C4 | — | 4 | 2 | no | — |
| 777 | C2×C4 | — | 4 | 1 | no | — |
| 778 | C2×C4 | — | 4 | 1 | no | — |
| 779 | C2×C4 | — | 4 | 1 | no | — |
| 780 | C2×C4 | — | 4 | 1 | no | — |
| 781 | C2×C4 | — | 17 | 2 | no | — |
| 782 | C2×C4 | — | 34 | 1 | no | — |
| 783 | C2×C4 | — | 34 | 1 | no | — |
| 784 | C2×C4 | — | 34 | 2 | no | — |
| 785 | C2×C4 | — | 34 | 1 | no | — |
| 786 | C2×C4 | — | 34 | 1 | no | — |
| 787 | C2×C4 | — | 34 | 2 | no | — |
| 788 | C2×C4 | — | 68 | 4 | no | — |
| 789 | C2×C4 | — | 68 | 4 | no | — |
| 790 | C2×C4 | — | 68 | 4 | no | — |
| 791 | C2×C4 | — | 68 | 4 | no | — |
| 792 | C2×C4 | — | 68 | 1 | no | — |
| 793 | C2×C4 | — | 68 | 2 | no | — |
| 794 | C2×C4 | — | 68 | 1 | no | — |
| 795 | C2×C4 | — | 68 | 4 | no | — |
| 796 | C2×C4 | — | 68 | 2 | no | — |
| 797 | C2×C4 | — | 68 | 1 | no | — |
| 798 | C2×C4 | — | 68 | 1 | no | — |
| 799 | C2×C4 | — | 136 | 1 | no | — |
| 800 | C2×C4 | #10587568 | 1 | 1 | yes | characteristic |
| 801 | C2×C4 | #10587568 | 1 | 1 | yes | characteristic |
| 802 | C2×C4 | C22×D68 | 1 | 1 | yes | characteristic |
| 803 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 804 | C8 | — | 4 | 2 | no | — |
| 805 | C8 | — | 68 | 2 | no | — |
| 806 | C22 | — | 2 | 1 | no | — |
| 807 | C22 | — | 2 | 1 | no | — |
| 808 | C22 | — | 2 | 1 | no | — |
| 809 | C22 | — | 2 | 1 | no | — |
| 810 | C22 | — | 2 | 1 | no | — |
| 811 | C22 | — | 2 | 1 | no | — |
| 812 | C22 | — | 2 | 1 | no | — |
| 813 | C22 | — | 2 | 1 | no | — |
| 814 | C22 | — | 4 | 2 | no | — |
| 815 | C22 | — | 4 | 2 | no | — |
| 816 | C22 | — | 4 | 2 | no | — |
| 817 | C22 | — | 8 | 1 | no | — |
| 818 | C22 | — | 8 | 1 | no | — |
| 819 | C22 | — | 16 | 2 | no | — |
| 820 | C22 | — | 272 | 2 | no | — |
| 821 | C22 | — | 272 | 4 | no | — |
| 822 | C22 | — | 34 | 2 | no | — |
| 823 | C22 | — | 68 | 2 | no | — |
| 824 | C22 | — | 68 | 2 | no | — |
| 825 | C22 | — | 68 | 2 | no | — |
| 826 | C22 | — | 68 | 1 | no | — |
| 827 | C22 | — | 68 | 1 | no | — |
| 828 | C22 | — | 68 | 2 | no | — |
| 829 | C22 | — | 68 | 2 | no | — |
| 830 | C22 | — | 68 | 2 | no | — |
| 831 | C22 | — | 68 | 2 | no | — |
| 832 | C22 | — | 136 | 1 | no | — |
| 833 | C22 | — | 136 | 1 | no | — |
| 834 | C22 | — | 136 | 1 | no | — |
| 835 | C22 | — | 136 | 1 | no | — |
| 836 | C22 | — | 136 | 1 | no | — |
| 837 | C22 | C2×#10587568 | 1 | 1 | yes | characteristic |
| 838 | C22 | AGL(1,ℤ/8)×D17 | 1 | 1 | yes | characteristic |
| 839 | C22 | AGL(1,ℤ/8)×D17 | 1 | 1 | yes | characteristic |
| 840 | C4 | — | 2 | 1 | no | — |
| 841 | C4 | — | 2 | 1 | no | — |
| 842 | C4 | — | 2 | 1 | no | — |
| 843 | C4 | — | 4 | 2 | no | — |
| 844 | C4 | — | 4 | 2 | no | — |
| 845 | C4 | — | 8 | 1 | no | — |
| 846 | C4 | — | 34 | 2 | no | — |
| 847 | C4 | — | 68 | 2 | no | — |
| 848 | C4 | — | 68 | 1 | no | — |
| 849 | C4 | — | 68 | 2 | no | — |
| 850 | C4 | — | 68 | 1 | no | — |
| 851 | C4 | #11762997 | 1 | 2 | yes | — |
| 852 | C2 | — | 2 | 1 | no | — |
| 853 | C2 | — | 2 | 1 | no | — |
| 854 | C2 | — | 4 | 1 | no | — |
| 855 | C2 | — | 4 | 1 | no | — |
| 856 | C2 | — | 8 | 2 | no | — |
| 857 | C2 | — | 68 | 2 | no | — |
| 858 | C2 | — | 136 | 2 | no | — |
| 859 | C2 | — | 136 | 2 | no | — |
| 860 | C2 | #14538013 | 1 | 1 | yes | characteristic |
| 861 | C2 | #14538135 | 1 | 1 | yes | characteristic |
| 862 | C2 | C2×#11762997 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14542541 | C2 | semidirect |
| 2. #14538038 | C2 | semidirect |
| 3. #14538034 | C2 | semidirect |
| 4. #14532000 | C2 | semidirect |
| 5. #14527754 | C2 | semidirect |
| 6. #14527737 | C2 | semidirect |
| 7. #14527720 | C2 | semidirect |
| 8. #14527703 | C2 | semidirect |
| 9. #14527299 | C2 | semidirect |
| 10. #14527120 | C2 | semidirect |
| 11. C17×#1507 | C2 | semidirect |
| 13. C22×#63252 | C22 | semidirect |
| 32. #11762950 | C22 | semidirect |
| 33. #11762947 | C22 | semidirect |
| 34. #11762945 | C22 | semidirect |
| 35. #11762942 | C22 | semidirect |
| 38. #11762773 | C22 | semidirect |
| 39. #11762730 | C22 | semidirect |
| 40. #11762727 | C22 | semidirect |
| 42. #11762722 | C22 | semidirect |
| 43. #11762719 | C22 | semidirect |
| 46. #11762542 | C22 | semidirect |
| 47. #11762542 | C22 | semidirect |
| 48. #11762534 | C22 | semidirect |
| 49. #11762532 | C22 | semidirect |
| 51. C17×#407 | C22 | semidirect |
| 52. C4×C22⋊C4×C17 | C22 | semidirect |
| 53. C17×#327 | C22 | semidirect |
| 54. C17×#327 | C22 | semidirect |
| 56. C22×D4×C17 | D4 | semidirect |
| 76. C22×D68 | D4 | semidirect |
| 84. C17×#121 | D4 | semidirect |
| 86. C2×C4⋊C4×C17 | D4 | semidirect |
| 106. #10587616 | D4 | semidirect |
| 120. C2×C4⋊Dic17 | D4 | semidirect |
| 306. C22×D17 | AGL(1,ℤ/8) | semidirect |
| 353. C2×Dic17 | AGL(1,ℤ/8) | semidirect |
| 384. #1507 | D17 | semidirect |
| 460. #407 | C2×D17 | semidirect |
| 468. C4×C22⋊C4 | C2×D17 | semidirect |
| 471. #327 | C2×D17 | semidirect |
| 472. #327 | C2×D17 | semidirect |
| 508. C22×D4 | D68 | semidirect |
| 542. #121 | D68 | semidirect |
| 560. C2×C4⋊C4 | D68 | semidirect |
| 585. C17 | #18166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14542541 | 2 |
| #14538038 | 2 |
| #14538034 | 2 |
| #14532000 | 2 |
| #14527754 | 2 |
| #14527737 | 2 |
| #14527720 | 2 |
| #14527703 | 2 |
| #14527299 | 2 |
| #14527120 | 2 |
| C17×#1507 | 2 |
| #18166 | 17 |