Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
4810 conjugacy classes of subgroups.
The subgroup lattice has 1202 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#16864232 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#16864195 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#16863976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22569528 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #22569525 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #22569517 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #22569514 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #22569467 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22569465 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #22569463 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22569462 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #22569461 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #417×D67 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #22568652 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C67×#3007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16864232 | — | 2 | 16 | no | — |
| 17 | C2×#14524091 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#14524090 | — | 2 | 1 | no | — |
| 19 | C2×#14524090 | C22 | 1 | 2 | yes | complemented |
| 20 | C2×#14524089 | — | 2 | 1 | no | — |
| 21 | C2×#14524089 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×#14524088 | — | 2 | 1 | no | — |
| 23 | C2×#14524088 | — | 2 | 1 | no | — |
| 24 | C2×#14524088 | C22 | 1 | 2 | yes | complemented |
| 25 | C22×#11761629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C22×#11761628 | — | 2 | 2 | no | — |
| 27 | C22×#11761628 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×#11761628 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#41×D67 | — | 2 | 2 | no | — |
| 30 | C2×#41×D67 | C22 | 1 | 2 | yes | — |
| 31 | C2×#41×D67 | C22 | 1 | 2 | yes | — |
| 32 | #16864195 | — | 2 | 16 | no | — |
| 33 | C2×#14524075 | C22 | 1 | 4 | yes | complemented |
| 34 | C2×#14524074 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#14524071 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#14524070 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×#14524068 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#14524066 | C22 | 1 | 4 | yes | complemented |
| 39 | C2×#14524064 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×M16×D67 | C22 | 1 | 2 | yes | complemented |
| 41 | #16863976 | — | 2 | 2 | no | — |
| 42 | #16863976 | — | 2 | 2 | no | — |
| 43 | #16863976 | C22 | 1 | 4 | yes | complemented |
| 44 | #16863976 | C22 | 1 | 4 | yes | complemented |
| 45 | C2×#14524021 | — | 2 | 1 | no | — |
| 46 | C2×#14524019 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×#14524018 | — | 2 | 1 | no | — |
| 48 | C2×#14524018 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#14524017 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×#14524016 | — | 2 | 1 | no | — |
| 51 | C2×#14524016 | — | 2 | 1 | no | — |
| 52 | C2×C4⋊C4×D67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #16863557 | C22 | 1 | 4 | yes | complemented |
| 54 | #16863556 | C22 | 1 | 4 | yes | complemented |
| 55 | #16863555 | C22 | 1 | 4 | yes | complemented |
| 56 | #16863551 | C22 | 1 | 2 | yes | complemented |
| 57 | #16863550 | C22 | 1 | 4 | yes | complemented |
| 58 | #16863546 | C22 | 1 | 2 | yes | complemented |
| 59 | #16863545 | C22 | 1 | 4 | yes | complemented |
| 60 | #16863544 | C22 | 1 | 4 | yes | complemented |
| 61 | #16863543 | C22 | 1 | 4 | yes | complemented |
| 62 | #16863542 | C22 | 1 | 4 | yes | complemented |
| 63 | #16863541 | C22 | 1 | 4 | yes | complemented |
| 64 | #16863537 | C22 | 1 | 2 | yes | complemented |
| 65 | #16863536 | C22 | 1 | 4 | yes | complemented |
| 66 | #16863535 | C22 | 1 | 2 | yes | complemented |
| 67 | #16863532 | C22 | 1 | 2 | yes | complemented |
| 68 | #16863531 | C22 | 1 | 4 | yes | complemented |
| 69 | #16863530 | C22 | 1 | 2 | yes | complemented |
| 70 | #16863398 | C22 | 1 | 2 | yes | complemented |
| 71 | #16863397 | C22 | 1 | 2 | yes | complemented |
| 72 | #16863396 | C22 | 1 | 4 | yes | complemented |
| 73 | #16863395 | C22 | 1 | 2 | yes | complemented |
| 74 | #16863394 | C22 | 1 | 4 | yes | complemented |
| 75 | #103×D67 | C22 | 1 | 4 | yes | complemented |
| 76 | #102×D67 | C22 | 1 | 4 | yes | complemented |
| 77 | #16863361 | C22 | 1 | 4 | yes | complemented |
| 78 | #16863361 | C22 | 1 | 4 | yes | complemented |
| 79 | #16863360 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #16863359 | C22 | 1 | 2 | yes | complemented |
| 81 | C22×#41×C67 | C22 | 1 | 1 | yes | characteristic |
| 82 | C2×#137×C67 | C22 | 1 | 2 | yes | complemented |
| 83 | C2×C22⋊Q8×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | #452×C67 | C22 | 1 | 4 | yes | complemented |
| 85 | #451×C67 | C22 | 1 | 2 | yes | complemented |
| 86 | #450×C67 | C22 | 1 | 2 | yes | complemented |
| 87 | #417×C67 | C22 | 1 | 2 | yes | complemented |
| 88 | #407×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 89 | #14524091 | — | 2 | 8 | no | — |
| 90 | #14524091 | — | 2 | 8 | no | — |
| 91 | #14524090 | — | 2 | 16 | no | — |
| 92 | #14524090 | — | 2 | 8 | no | — |
| 93 | #14524090 | — | 2 | 8 | no | — |
| 94 | #14524089 | — | 2 | 16 | no | — |
| 95 | #14524089 | — | 2 | 8 | no | — |
| 96 | #14524089 | — | 2 | 8 | no | — |
| 97 | #14524088 | — | 2 | 16 | no | — |
| 98 | #14524088 | — | 2 | 16 | no | — |
| 99 | #14524088 | — | 2 | 8 | no | — |
| 100 | #14524088 | — | 2 | 8 | no | — |
| 101 | C2×#11761629 | — | 2 | 2 | no | — |
| 102 | C2×#11761629 | — | 2 | 2 | no | — |
| 103 | C2×#11761629 | — | 2 | 8 | no | — |
| 104 | C2×#11761629 | C23 | 1 | 2 | yes | — |
| 105 | C2×#11761629 | C23 | 1 | 4 | yes | — |
| 106 | C2×#11761629 | C23 | 1 | 2 | yes | — |
| 107 | C2×#11761628 | — | 2 | 32 | no | — |
| 108 | C2×#11761628 | — | 2 | 8 | no | — |
| 109 | C2×#11761628 | — | 2 | 2 | no | — |
| 110 | C2×#11761628 | — | 2 | 2 | no | — |
| 111 | C2×#11761628 | — | 2 | 2 | no | — |
| 112 | C2×#11761628 | — | 2 | 2 | no | — |
| 113 | C2×#11761628 | — | 2 | 2 | no | — |
| 114 | C2×#11761628 | — | 2 | 2 | no | — |
| 115 | C2×#11761628 | — | 2 | 8 | no | — |
| 116 | C2×#11761628 | — | 2 | 1 | no | — |
| 117 | C2×#11761628 | — | 2 | 1 | no | — |
| 118 | C2×#11761628 | D4 | 1 | 2 | yes | — |
| 119 | C2×#11761628 | D4 | 1 | 2 | yes | — |
| 120 | C2×#11761628 | C23 | 1 | 2 | yes | — |
| 121 | C2×#11761628 | C23 | 1 | 2 | yes | — |
| 122 | C2×#11761628 | C23 | 1 | 2 | yes | — |
| 123 | C2×#11761628 | C23 | 1 | 2 | yes | — |
| 124 | C2×#11761627 | — | 2 | 2 | no | — |
| 125 | C2×#11761627 | — | 2 | 2 | no | — |
| 126 | C2×#11761627 | — | 2 | 2 | no | — |
| 127 | C2×#11761627 | — | 2 | 2 | no | — |
| 128 | C2×#11761627 | — | 2 | 2 | no | — |
| 129 | C2×#11761627 | C23 | 1 | 2 | yes | — |
| 130 | C2×#11761627 | C23 | 1 | 2 | yes | — |
| 131 | #41×D67 | — | 2 | 32 | no | — |
| 132 | #41×D67 | — | 2 | 8 | no | — |
| 133 | #41×D67 | — | 2 | 8 | no | — |
| 134 | #41×D67 | — | 2 | 8 | no | — |
| 135 | #41×D67 | D4 | 1 | 16 | yes | complemented |
| 136 | C22×Dic134 | — | 2 | 2 | no | — |
| 137 | C22×Dic134 | D4 | 1 | 1 | yes | characteristic |
| 138 | C22×Dic134 | C23 | 1 | 1 | yes | characteristic |
| 139 | C2×Q8×D67 | — | 2 | 2 | no | — |
| 140 | C2×Q8×D67 | C23 | 1 | 2 | yes | — |
| 141 | C2×Q8×D67 | C23 | 1 | 2 | yes | — |
| 142 | C22×D268 | — | 2 | 2 | no | — |
| 143 | C22×D268 | — | 2 | 1 | no | — |
| 144 | C22×D268 | — | 2 | 1 | no | — |
| 145 | C22×D268 | D4 | 1 | 1 | yes | characteristic |
| 146 | C22×D268 | C23 | 1 | 1 | yes | characteristic |
| 147 | C22×D268 | C23 | 1 | 1 | yes | characteristic |
| 148 | C22×C22⋊D67 | — | 2 | 2 | no | — |
| 149 | C22×C22⋊D67 | — | 2 | 2 | no | — |
| 150 | C22×C22⋊D67 | — | 2 | 1 | no | — |
| 151 | C22×C22⋊D67 | — | 2 | 1 | no | — |
| 152 | C22×C22⋊D67 | D4 | 1 | 1 | yes | characteristic |
| 153 | C22×C22⋊D67 | D4 | 1 | 1 | yes | characteristic |
| 154 | C2×D4×D67 | — | 2 | 2 | no | — |
| 155 | C2×D4×D67 | — | 2 | 2 | no | — |
| 156 | C2×D4×D67 | — | 2 | 2 | no | — |
| 157 | C2×D4×D67 | — | 2 | 2 | no | — |
| 158 | C2×D4×D67 | — | 2 | 2 | no | — |
| 159 | C2×D4×D67 | C23 | 1 | 2 | yes | — |
| 160 | C2×D4×D67 | C23 | 1 | 2 | yes | — |
| 161 | C22×C4×D67 | — | 2 | 2 | no | — |
| 162 | C22×C4×D67 | — | 2 | 2 | no | — |
| 163 | C22×C4×D67 | — | 2 | 1 | no | — |
| 164 | C22×C4×D67 | — | 2 | 1 | no | — |
| 165 | C22×C4×D67 | — | 2 | 1 | no | — |
| 166 | C22×C4×D67 | C23 | 1 | 1 | yes | characteristic |
| 167 | C22×C4×D67 | C23 | 1 | 1 | yes | characteristic |
| 168 | #14524075 | — | 2 | 16 | no | — |
| 169 | #14524074 | — | 2 | 8 | no | — |
| 170 | #14524071 | — | 2 | 8 | no | — |
| 171 | #14524070 | — | 2 | 16 | no | — |
| 172 | #14524068 | — | 2 | 8 | no | — |
| 173 | #14524066 | — | 2 | 16 | no | — |
| 174 | #14524064 | — | 2 | 16 | no | — |
| 175 | C2×#11761618 | C23 | 1 | 4 | yes | — |
| 176 | C2×#11761617 | C23 | 1 | 4 | yes | — |
| 177 | C2×#11761615 | C23 | 1 | 4 | yes | — |
| 178 | C2×#11761615 | C23 | 1 | 4 | yes | — |
| 179 | C2×D536 | C23 | 1 | 4 | yes | — |
| 180 | C2×#11761613 | C23 | 1 | 4 | yes | — |
| 181 | C2×#11761612 | C23 | 1 | 2 | yes | — |
| 182 | C2×#11761611 | C23 | 1 | 4 | yes | — |
| 183 | M16×D67 | — | 2 | 8 | no | — |
| 184 | C2×C8×D67 | C23 | 1 | 4 | yes | — |
| 185 | #14524021 | — | 2 | 4 | no | — |
| 186 | #14524021 | — | 2 | 4 | no | — |
| 187 | #14524019 | — | 2 | 2 | no | — |
| 188 | #14524019 | C23 | 1 | 4 | yes | — |
| 189 | #14524018 | — | 2 | 4 | no | — |
| 190 | #14524018 | — | 2 | 4 | no | — |
| 191 | #14524018 | — | 2 | 2 | no | — |
| 192 | #14524018 | C23 | 1 | 4 | yes | — |
| 193 | #14524017 | — | 2 | 1 | no | — |
| 194 | #14524017 | — | 2 | 1 | no | — |
| 195 | #14524017 | C23 | 1 | 2 | yes | — |
| 196 | #14524017 | C23 | 1 | 2 | yes | — |
| 197 | #14524016 | — | 2 | 4 | no | — |
| 198 | #14524016 | — | 2 | 4 | no | — |
| 199 | #14524016 | — | 2 | 4 | no | — |
| 200 | #14524016 | — | 2 | 4 | no | — |
| 201 | C2×C4⋊Dic67 | C23 | 1 | 1 | yes | characteristic |
| 202 | C2×Dic67⋊C4 | — | 2 | 1 | no | — |
| 203 | C2×Dic67⋊C4 | — | 2 | 1 | no | — |
| 204 | C4⋊C4×D67 | — | 2 | 2 | no | — |
| 205 | C4⋊C4×D67 | C23 | 1 | 4 | yes | — |
| 206 | C2×(C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 207 | C2×(C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 208 | C2×(C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 209 | #14523968 | C23 | 1 | 4 | yes | — |
| 210 | #14523967 | C23 | 1 | 4 | yes | — |
| 211 | #14523966 | C23 | 1 | 4 | yes | — |
| 212 | #14523965 | C23 | 1 | 4 | yes | — |
| 213 | #14523964 | C23 | 1 | 4 | yes | — |
| 214 | #14523963 | C23 | 1 | 4 | yes | — |
| 215 | C22⋊(C67⋊C8) | C23 | 1 | 2 | yes | — |
| 216 | C22⋊(C67⋊C8) | C23 | 1 | 2 | yes | — |
| 217 | (C2×D67)⋊C8 | C23 | 1 | 4 | yes | — |
| 218 | (C2×D67)⋊C8 | C23 | 1 | 4 | yes | — |
| 219 | C2×#41×C67 | — | 2 | 8 | no | — |
| 220 | C2×#41×C67 | — | 2 | 1 | no | — |
| 221 | C2×#41×C67 | — | 2 | 1 | no | — |
| 222 | C2×#41×C67 | C23 | 1 | 2 | yes | — |
| 223 | C2×#41×C67 | C23 | 1 | 2 | yes | — |
| 224 | C22×Q8×C67 | C23 | 1 | 1 | yes | characteristic |
| 225 | C22×Q8×C67 | C23 | 1 | 1 | yes | characteristic |
| 226 | C22×D4×C67 | — | 2 | 1 | no | — |
| 227 | C22×D4×C67 | C23 | 1 | 1 | yes | characteristic |
| 228 | C23×C4×C67 | — | 2 | 1 | no | — |
| 229 | C23×C4×C67 | C23 | 1 | 1 | yes | characteristic |
| 230 | #137×C67 | — | 2 | 8 | no | — |
| 231 | C2×Q16×C67 | C23 | 1 | 4 | yes | — |
| 232 | C2×SD16×C67 | C23 | 1 | 4 | yes | — |
| 233 | C2×M16×C67 | C23 | 1 | 2 | yes | — |
| 234 | C22⋊Q8×C67 | — | 2 | 1 | no | — |
| 235 | C22⋊Q8×C67 | — | 2 | 1 | no | — |
| 236 | C22⋊Q8×C67 | C23 | 1 | 2 | yes | — |
| 237 | C22⋊Q8×C67 | C23 | 1 | 2 | yes | — |
| 238 | C2×C4⋊C4×C67 | — | 2 | 1 | no | — |
| 239 | C2×C4⋊C4×C67 | C23 | 1 | 1 | yes | characteristic |
| 240 | C2×C22⋊C4×C67 | — | 2 | 1 | no | — |
| 241 | #103×C67 | C23 | 1 | 4 | yes | — |
| 242 | #102×C67 | C23 | 1 | 4 | yes | — |
| 243 | C22⋊C8×C67 | C23 | 1 | 2 | yes | — |
| 244 | C22⋊C8×C67 | C23 | 1 | 2 | yes | — |
| 245 | C23×D67 | — | 2 | 1 | no | — |
| 246 | C23×D67 | — | 2 | 2 | no | — |
| 247 | C23×D67 | — | 2 | 2 | no | — |
| 248 | C23×D67 | — | 2 | 1 | no | — |
| 249 | C23×D67 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C23×D67 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | #11761629 | — | 2 | 16 | no | — |
| 252 | #11761629 | — | 2 | 4 | no | — |
| 253 | #11761629 | — | 2 | 4 | no | — |
| 254 | #11761629 | — | 2 | 4 | no | — |
| 255 | #11761629 | — | 2 | 8 | no | — |
| 256 | #11761629 | — | 2 | 8 | no | — |
| 257 | #11761629 | — | 4 | 8 | no | — |
| 258 | #11761629 | C2×D4 | 1 | 8 | yes | complemented |
| 259 | #11761628 | — | 2 | 16 | no | — |
| 260 | #11761628 | — | 2 | 8 | no | — |
| 261 | #11761628 | — | 2 | 16 | no | — |
| 262 | #11761628 | — | 2 | 16 | no | — |
| 263 | #11761628 | — | 2 | 8 | no | — |
| 264 | #11761628 | — | 2 | 16 | no | — |
| 265 | #11761628 | — | 2 | 16 | no | — |
| 266 | #11761628 | — | 2 | 4 | no | — |
| 267 | #11761628 | — | 2 | 4 | no | — |
| 268 | #11761628 | — | 2 | 8 | no | — |
| 269 | #11761628 | — | 2 | 16 | no | — |
| 270 | #11761628 | — | 2 | 8 | no | — |
| 271 | #11761628 | — | 2 | 4 | no | — |
| 272 | #11761628 | — | 2 | 4 | no | — |
| 273 | #11761628 | — | 2 | 4 | no | — |
| 274 | #11761628 | — | 2 | 4 | no | — |
| 275 | #11761628 | — | 2 | 4 | no | — |
| 276 | #11761628 | C2×D4 | 1 | 8 | yes | — |
| 277 | #11761627 | — | 2 | 16 | no | — |
| 278 | #11761627 | — | 2 | 16 | no | — |
| 279 | #11761627 | — | 2 | 16 | no | — |
| 280 | #11761627 | — | 2 | 16 | no | — |
| 281 | #11761627 | — | 2 | 4 | no | — |
| 282 | #11761627 | — | 2 | 16 | no | — |
| 283 | #11761627 | — | 2 | 4 | no | — |
| 284 | #11761627 | — | 2 | 4 | no | — |
| 285 | #11761627 | C2×D4 | 1 | 8 | yes | complemented |
| 286 | C2×Dic134 | — | 2 | 16 | no | — |
| 287 | C2×Dic134 | — | 2 | 1 | no | — |
| 288 | C2×Dic134 | — | 2 | 4 | no | — |
| 289 | C2×Dic134 | — | 2 | 2 | no | — |
| 290 | C2×Dic134 | — | 2 | 2 | no | — |
| 291 | C2×Dic134 | — | 2 | 4 | no | — |
| 292 | C2×Dic134 | C2×D4 | 1 | 2 | yes | — |
| 293 | C2×Dic134 | C2×D4 | 1 | 2 | yes | — |
| 294 | C2×Dic134 | C24 | 1 | 2 | yes | — |
| 295 | Q8×D67 | — | 2 | 16 | no | — |
| 296 | Q8×D67 | — | 2 | 4 | no | — |
| 297 | Q8×D67 | — | 2 | 4 | no | — |
| 298 | Q8×D67 | — | 2 | 4 | no | — |
| 299 | Q8×D67 | C2×D4 | 1 | 8 | yes | complemented |
| 300 | C2×D268 | — | 2 | 16 | no | — |
| 301 | C2×D268 | — | 2 | 4 | no | — |
| 302 | C2×D268 | — | 2 | 2 | no | — |
| 303 | C2×D268 | — | 2 | 2 | no | — |
| 304 | C2×D268 | — | 2 | 1 | no | — |
| 305 | C2×D268 | — | 2 | 4 | no | — |
| 306 | C2×D268 | — | 2 | 4 | no | — |
| 307 | C2×D268 | — | 2 | 4 | no | — |
| 308 | C2×D268 | — | 2 | 1 | no | — |
| 309 | C2×D268 | — | 2 | 4 | no | — |
| 310 | C2×D268 | — | 4 | 4 | no | — |
| 311 | C2×D268 | — | 8 | 2 | no | — |
| 312 | C2×D268 | C2×D4 | 1 | 2 | yes | — |
| 313 | C2×D268 | C2×D4 | 1 | 2 | yes | — |
| 314 | C2×D268 | C24 | 1 | 2 | yes | — |
| 315 | C2×D268 | C24 | 1 | 2 | yes | — |
| 316 | C2×C22⋊D67 | — | 2 | 16 | no | — |
| 317 | C2×C22⋊D67 | — | 2 | 8 | no | — |
| 318 | C2×C22⋊D67 | — | 2 | 16 | no | — |
| 319 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 320 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 321 | C2×C22⋊D67 | — | 2 | 4 | no | — |
| 322 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 323 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 324 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 325 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 326 | C2×C22⋊D67 | — | 2 | 4 | no | — |
| 327 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 328 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 329 | C2×C22⋊D67 | — | 8 | 2 | no | — |
| 330 | C2×C22⋊D67 | C2×D4 | 1 | 2 | yes | — |
| 331 | C2×C22⋊D67 | C2×D4 | 1 | 2 | yes | — |
| 332 | C2×C22⋊D67 | C2×D4 | 1 | 2 | yes | — |
| 333 | C2×C22⋊D67 | C2×D4 | 1 | 2 | yes | — |
| 334 | D4×D67 | — | 2 | 16 | no | — |
| 335 | D4×D67 | — | 2 | 16 | no | — |
| 336 | D4×D67 | — | 2 | 16 | no | — |
| 337 | D4×D67 | — | 2 | 16 | no | — |
| 338 | D4×D67 | — | 2 | 16 | no | — |
| 339 | D4×D67 | — | 2 | 4 | no | — |
| 340 | D4×D67 | — | 2 | 4 | no | — |
| 341 | D4×D67 | — | 2 | 4 | no | — |
| 342 | D4×D67 | C2×D4 | 1 | 8 | yes | complemented |
| 343 | C22×Dic67 | — | 2 | 1 | no | — |
| 344 | C22×Dic67 | — | 2 | 2 | no | — |
| 345 | C22×Dic67 | — | 2 | 2 | no | — |
| 346 | C22×Dic67 | — | 2 | 1 | no | — |
| 347 | C22×Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 348 | C22×Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 349 | C2×C4×D67 | — | 2 | 8 | no | — |
| 350 | C2×C4×D67 | — | 2 | 16 | no | — |
| 351 | C2×C4×D67 | — | 2 | 2 | no | — |
| 352 | C2×C4×D67 | — | 2 | 2 | no | — |
| 353 | C2×C4×D67 | — | 2 | 2 | no | — |
| 354 | C2×C4×D67 | — | 2 | 2 | no | — |
| 355 | C2×C4×D67 | — | 2 | 4 | no | — |
| 356 | C2×C4×D67 | — | 2 | 2 | no | — |
| 357 | C2×C4×D67 | — | 2 | 2 | no | — |
| 358 | C2×C4×D67 | — | 2 | 16 | no | — |
| 359 | C2×C4×D67 | — | 2 | 4 | no | — |
| 360 | C2×C4×D67 | — | 2 | 4 | no | — |
| 361 | C2×C4×D67 | — | 4 | 4 | no | — |
| 362 | C2×C4×D67 | — | 8 | 2 | no | — |
| 363 | C2×C4×D67 | C2×D4 | 1 | 2 | yes | — |
| 364 | C2×C4×D67 | C2×D4 | 1 | 2 | yes | — |
| 365 | C2×C4×D67 | C2×D4 | 1 | 8 | yes | — |
| 366 | C2×C4×D67 | C24 | 1 | 2 | yes | — |
| 367 | C2×C4×D67 | C24 | 1 | 2 | yes | — |
| 368 | #11761618 | — | 2 | 8 | no | — |
| 369 | #11761617 | — | 2 | 8 | no | — |
| 370 | #11761615 | — | 2 | 8 | no | — |
| 371 | #11761615 | — | 2 | 8 | no | — |
| 372 | D536 | — | 2 | 8 | no | — |
| 373 | #11761613 | — | 2 | 8 | no | — |
| 374 | #11761612 | — | 2 | 4 | no | — |
| 375 | #11761611 | — | 2 | 8 | no | — |
| 376 | C2×C67⋊C8 | C24 | 1 | 4 | yes | — |
| 377 | C8×D67 | — | 2 | 8 | no | — |
| 378 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 379 | C4⋊Dic67 | C24 | 1 | 2 | yes | — |
| 380 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 381 | Dic67⋊C4 | — | 2 | 4 | no | — |
| 382 | (C2×D67)⋊C4 | — | 2 | 4 | no | — |
| 383 | (C2×D67)⋊C4 | — | 2 | 2 | no | — |
| 384 | (C2×D67)⋊C4 | — | 2 | 2 | no | — |
| 385 | (C2×D67)⋊C4 | — | 2 | 4 | no | — |
| 386 | C24×C67 | — | 2 | 1 | no | — |
| 387 | C24×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 388 | #41×C67 | — | 2 | 8 | no | — |
| 389 | #41×C67 | — | 2 | 8 | no | — |
| 390 | #41×C67 | — | 2 | 4 | no | — |
| 391 | #41×C67 | — | 2 | 4 | no | — |
| 392 | #41×C67 | — | 2 | 4 | no | — |
| 393 | #41×C67 | C2×D4 | 1 | 8 | yes | — |
| 394 | C2×Q8×C67 | — | 2 | 4 | no | — |
| 395 | C2×Q8×C67 | — | 2 | 1 | no | — |
| 396 | C2×Q8×C67 | — | 2 | 1 | no | — |
| 397 | C2×Q8×C67 | — | 2 | 4 | no | — |
| 398 | C2×Q8×C67 | C24 | 1 | 2 | yes | — |
| 399 | C2×Q8×C67 | C24 | 1 | 2 | yes | — |
| 400 | C2×D4×C67 | — | 2 | 8 | no | — |
| 401 | C2×D4×C67 | — | 2 | 2 | no | — |
| 402 | C2×D4×C67 | — | 2 | 2 | no | — |
| 403 | C2×D4×C67 | — | 2 | 4 | no | — |
| 404 | C2×D4×C67 | — | 2 | 1 | no | — |
| 405 | C2×D4×C67 | C24 | 1 | 2 | yes | — |
| 406 | C22×C4×C67 | — | 2 | 8 | no | — |
| 407 | C22×C4×C67 | — | 2 | 1 | no | — |
| 408 | C22×C4×C67 | — | 2 | 2 | no | — |
| 409 | C22×C4×C67 | — | 2 | 2 | no | — |
| 410 | C22×C4×C67 | — | 2 | 4 | no | — |
| 411 | C22×C4×C67 | — | 2 | 1 | no | — |
| 412 | C22×C4×C67 | — | 2 | 1 | no | — |
| 413 | C22×C4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 414 | C22×C4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 415 | C22×C4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 416 | C22×C4×C67 | C24 | 1 | 1 | yes | characteristic |
| 417 | C22×C4×C67 | C24 | 1 | 1 | yes | characteristic |
| 418 | C22×C4×C67 | C24 | 1 | 1 | yes | characteristic |
| 419 | Q16×C67 | — | 2 | 8 | no | — |
| 420 | SD16×C67 | — | 2 | 8 | no | — |
| 421 | M16×C67 | — | 2 | 4 | no | — |
| 422 | C2×C8×C67 | C24 | 1 | 4 | yes | — |
| 423 | C4⋊C4×C67 | — | 2 | 2 | no | — |
| 424 | C4⋊C4×C67 | — | 2 | 2 | no | — |
| 425 | C4⋊C4×C67 | — | 2 | 1 | no | — |
| 426 | C4⋊C4×C67 | C24 | 1 | 2 | yes | — |
| 427 | C22⋊C4×C67 | — | 2 | 2 | no | — |
| 428 | C22⋊C4×C67 | — | 2 | 2 | no | — |
| 429 | C23×C67 | — | 2 | 4 | no | — |
| 430 | C23×C67 | — | 2 | 2 | no | — |
| 431 | C23×C67 | — | 2 | 2 | no | — |
| 432 | C23×C67 | — | 4 | 1 | no | — |
| 433 | C23×C67 | — | 4 | 1 | no | — |
| 434 | C23×C67 | — | 8 | 1 | no | — |
| 435 | C23×C67 | — | 8 | 1 | no | — |
| 436 | C23×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 437 | C23×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 438 | C23×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 439 | C22×D67 | — | 2 | 2 | no | — |
| 440 | C22×D67 | — | 2 | 8 | no | — |
| 441 | C22×D67 | — | 2 | 4 | no | — |
| 442 | C22×D67 | — | 2 | 2 | no | — |
| 443 | C22×D67 | — | 2 | 8 | no | — |
| 444 | C22×D67 | — | 2 | 2 | no | — |
| 445 | C22×D67 | — | 4 | 1 | no | — |
| 446 | C22×D67 | — | 4 | 1 | no | — |
| 447 | C22×D67 | — | 4 | 1 | no | — |
| 448 | C22×D67 | — | 4 | 1 | no | — |
| 449 | C22×D67 | — | 4 | 2 | no | — |
| 450 | C22×D67 | — | 4 | 2 | no | — |
| 451 | C22×D67 | — | 4 | 2 | no | — |
| 452 | C22×D67 | — | 8 | 2 | no | — |
| 453 | C22×D67 | — | 8 | 2 | no | — |
| 454 | C22×D67 | — | 8 | 2 | no | — |
| 455 | C22×D67 | — | 8 | 2 | no | — |
| 456 | C22×D67 | — | 8 | 1 | no | — |
| 457 | C22×D67 | — | 8 | 1 | no | — |
| 458 | C22×D67 | #120 | 1 | 4 | yes | — |
| 459 | C22×D67 | C22×D4 | 1 | 2 | yes | — |
| 460 | C22×D67 | C22×D4 | 1 | 2 | yes | — |
| 461 | Q8×C67 | — | 2 | 4 | no | — |
| 462 | Q8×C67 | — | 2 | 2 | no | — |
| 463 | Q8×C67 | — | 2 | 4 | no | — |
| 464 | Q8×C67 | — | 4 | 2 | no | — |
| 465 | Q8×C67 | C22×D4 | 1 | 4 | yes | — |
| 466 | D4×C67 | — | 2 | 8 | no | — |
| 467 | D4×C67 | — | 2 | 4 | no | — |
| 468 | D4×C67 | — | 2 | 8 | no | — |
| 469 | D4×C67 | — | 2 | 2 | no | — |
| 470 | D4×C67 | C22×D4 | 1 | 4 | yes | — |
| 471 | C2×C4×C67 | — | 2 | 4 | no | — |
| 472 | C2×C4×C67 | — | 2 | 8 | no | — |
| 473 | C2×C4×C67 | — | 2 | 2 | no | — |
| 474 | C2×C4×C67 | — | 2 | 2 | no | — |
| 475 | C2×C4×C67 | — | 2 | 2 | no | — |
| 476 | C2×C4×C67 | — | 2 | 8 | no | — |
| 477 | C2×C4×C67 | — | 2 | 2 | no | — |
| 478 | C2×C4×C67 | — | 2 | 2 | no | — |
| 479 | C2×C4×C67 | — | 2 | 2 | no | — |
| 480 | C2×C4×C67 | — | 2 | 2 | no | — |
| 481 | C2×C4×C67 | — | 2 | 2 | no | — |
| 482 | C2×C4×C67 | — | 4 | 2 | no | — |
| 483 | C2×C4×C67 | — | 4 | 2 | no | — |
| 484 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 485 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 486 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 487 | C2×C4×C67 | C22×D4 | 1 | 4 | yes | — |
| 488 | C2×C4×C67 | C25 | 1 | 1 | yes | characteristic |
| 489 | C22⋊D67 | — | 2 | 8 | no | — |
| 490 | C22⋊D67 | — | 2 | 8 | no | — |
| 491 | C22⋊D67 | — | 2 | 8 | no | — |
| 492 | C22⋊D67 | — | 2 | 8 | no | — |
| 493 | C22⋊D67 | — | 2 | 8 | no | — |
| 494 | C22⋊D67 | — | 2 | 4 | no | — |
| 495 | C22⋊D67 | — | 2 | 4 | no | — |
| 496 | C22⋊D67 | — | 2 | 4 | no | — |
| 497 | C22⋊D67 | — | 2 | 8 | no | — |
| 498 | C22⋊D67 | — | 2 | 4 | no | — |
| 499 | C22⋊D67 | — | 8 | 2 | no | — |
| 500 | C22⋊D67 | — | 8 | 2 | no | — |
| 501 | C2×Dic67 | — | 2 | 8 | no | — |
| 502 | C2×Dic67 | — | 2 | 4 | no | — |
| 503 | C2×Dic67 | — | 2 | 2 | no | — |
| 504 | C2×Dic67 | — | 2 | 2 | no | — |
| 505 | C2×Dic67 | — | 2 | 8 | no | — |
| 506 | C2×Dic67 | — | 2 | 2 | no | — |
| 507 | C2×Dic67 | — | 4 | 2 | no | — |
| 508 | C2×Dic67 | #120 | 1 | 4 | yes | — |
| 509 | C2×Dic67 | C22×D4 | 1 | 2 | yes | — |
| 510 | C2×Dic67 | C22×D4 | 1 | 2 | yes | — |
| 511 | D268 | — | 2 | 8 | no | — |
| 512 | D268 | — | 2 | 4 | no | — |
| 513 | D268 | — | 2 | 8 | no | — |
| 514 | D268 | — | 2 | 4 | no | — |
| 515 | D268 | — | 2 | 4 | no | — |
| 516 | D268 | — | 2 | 2 | no | — |
| 517 | D268 | — | 2 | 4 | no | — |
| 518 | D268 | — | 4 | 8 | no | — |
| 519 | D268 | — | 4 | 2 | no | — |
| 520 | D268 | — | 8 | 4 | no | — |
| 521 | D268 | C22×D4 | 1 | 4 | yes | — |
| 522 | C4×D67 | — | 2 | 8 | no | — |
| 523 | C4×D67 | — | 2 | 8 | no | — |
| 524 | C4×D67 | — | 2 | 8 | no | — |
| 525 | C4×D67 | — | 2 | 8 | no | — |
| 526 | C4×D67 | — | 2 | 8 | no | — |
| 527 | C4×D67 | — | 2 | 4 | no | — |
| 528 | C4×D67 | — | 2 | 2 | no | — |
| 529 | C4×D67 | — | 2 | 2 | no | — |
| 530 | C4×D67 | — | 2 | 8 | no | — |
| 531 | C4×D67 | — | 4 | 8 | no | — |
| 532 | C4×D67 | — | 8 | 4 | no | — |
| 533 | C4×D67 | #120 | 1 | 8 | yes | — |
| 534 | C4×D67 | C22×D4 | 1 | 4 | yes | — |
| 535 | C4×D67 | C22×D4 | 1 | 4 | yes | — |
| 536 | Dic134 | — | 2 | 8 | no | — |
| 537 | Dic134 | — | 2 | 4 | no | — |
| 538 | Dic134 | — | 2 | 2 | no | — |
| 539 | Dic134 | — | 2 | 4 | no | — |
| 540 | Dic134 | — | 2 | 8 | no | — |
| 541 | Dic134 | — | 2 | 4 | no | — |
| 542 | Dic134 | C22×D4 | 1 | 4 | yes | — |
| 543 | C8×C67 | — | 2 | 4 | no | — |
| 544 | C67⋊C8 | — | 2 | 4 | no | — |
| 545 | C22×C67 | — | 2 | 1 | no | — |
| 546 | C22×C67 | — | 2 | 1 | no | — |
| 547 | C22×C67 | — | 2 | 1 | no | — |
| 548 | C22×C67 | — | 2 | 1 | no | — |
| 549 | C22×C67 | — | 2 | 1 | no | — |
| 550 | C22×C67 | — | 2 | 1 | no | — |
| 551 | C22×C67 | — | 2 | 1 | no | — |
| 552 | C22×C67 | — | 2 | 4 | no | — |
| 553 | C22×C67 | — | 2 | 1 | no | — |
| 554 | C22×C67 | — | 4 | 2 | no | — |
| 555 | C22×C67 | — | 4 | 2 | no | — |
| 556 | C22×C67 | — | 8 | 2 | no | — |
| 557 | C22×C67 | — | 8 | 4 | no | — |
| 558 | C22×C67 | C2×#120 | 1 | 2 | yes | — |
| 559 | C22×C67 | C23×D4 | 1 | 1 | yes | characteristic |
| 560 | C2×D67 | — | 2 | 2 | no | — |
| 561 | C2×D67 | — | 2 | 2 | no | — |
| 562 | C2×D67 | — | 2 | 2 | no | — |
| 563 | C2×D67 | — | 2 | 2 | no | — |
| 564 | C2×D67 | — | 2 | 2 | no | — |
| 565 | C2×D67 | — | 2 | 4 | no | — |
| 566 | C2×D67 | — | 4 | 4 | no | — |
| 567 | C2×D67 | — | 4 | 2 | no | — |
| 568 | C2×D67 | — | 4 | 2 | no | — |
| 569 | C2×D67 | — | 4 | 2 | no | — |
| 570 | C2×D67 | — | 4 | 2 | no | — |
| 571 | C2×D67 | — | 4 | 2 | no | — |
| 572 | C2×D67 | — | 8 | 8 | no | — |
| 573 | C2×D67 | — | 8 | 2 | no | — |
| 574 | C2×D67 | — | 8 | 8 | no | — |
| 575 | C2×D67 | — | 8 | 4 | no | — |
| 576 | C2×D67 | — | 8 | 4 | no | — |
| 577 | C2×D67 | C2×#120 | 1 | 4 | yes | — |
| 578 | C4×C67 | — | 2 | 1 | no | — |
| 579 | C4×C67 | — | 2 | 4 | no | — |
| 580 | C4×C67 | — | 2 | 1 | no | — |
| 581 | C4×C67 | — | 4 | 2 | no | — |
| 582 | C4×C67 | — | 4 | 2 | no | — |
| 583 | C4×C67 | C2×#120 | 1 | 2 | yes | — |
| 584 | C4×C67 | C23×D4 | 1 | 2 | yes | — |
| 585 | Dic67 | — | 2 | 2 | no | — |
| 586 | Dic67 | — | 2 | 4 | no | — |
| 587 | Dic67 | — | 4 | 2 | no | — |
| 588 | Dic67 | C2×#120 | 1 | 4 | yes | — |
| 589 | #60371 | — | 67 | 1 | no | maximal, Sylow |
| 590 | C2×C67 | — | 2 | 2 | no | — |
| 591 | C2×C67 | — | 4 | 1 | no | — |
| 592 | C2×C67 | — | 4 | 4 | no | — |
| 593 | C2×C67 | — | 4 | 1 | no | — |
| 594 | C2×C67 | C22×#120 | 1 | 1 | yes | characteristic |
| 595 | C2×C67 | #3585 | 1 | 1 | yes | characteristic |
| 596 | C2×C67 | #3586 | 1 | 1 | yes | characteristic |
| 597 | D67 | — | 2 | 4 | no | — |
| 598 | D67 | — | 4 | 2 | no | — |
| 599 | D67 | — | 4 | 4 | no | — |
| 600 | D67 | — | 8 | 2 | no | — |
| 601 | C2×#585 | — | 67 | 1 | no | — |
| 602 | C2×#575 | — | 67 | 2 | no | — |
| 603 | C2×#537 | — | 67 | 1 | no | — |
| 604 | #3013 | — | 67 | 4 | no | — |
| 605 | #3013 | — | 67 | 4 | no | — |
| 606 | #3012 | — | 67 | 4 | no | — |
| 607 | #3012 | — | 67 | 4 | no | — |
| 608 | #3007 | — | 67 | 2 | no | — |
| 609 | #3007 | — | 67 | 1 | no | — |
| 610 | #3007 | D67 | 1 | 1 | yes | characteristic, complemented |
| 611 | #3006 | — | 67 | 2 | no | — |
| 612 | #3006 | — | 67 | 1 | no | — |
| 613 | #3006 | — | 67 | 1 | no | — |
| 614 | C2×#417 | — | 67 | 2 | no | — |
| 615 | #2879 | — | 67 | 1 | no | — |
| 616 | C67 | #60371 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 617 | #585 | — | 134 | 16 | no | — |
| 618 | C2×2−1+4 | — | 67 | 2 | no | — |
| 619 | C2×2−1+4 | — | 67 | 2 | no | — |
| 620 | C2×2−1+4 | — | 134 | 1 | no | — |
| 621 | C2×H(5,𝔽2) | — | 67 | 2 | no | — |
| 622 | C2×H(5,𝔽2) | — | 67 | 2 | no | — |
| 623 | C2×H(5,𝔽2) | — | 134 | 1 | no | — |
| 624 | C2×H(5,𝔽2) | — | 134 | 1 | no | — |
| 625 | C2×H(5,𝔽2) | — | 134 | 1 | no | — |
| 626 | C22×#41 | — | 67 | 1 | no | — |
| 627 | C22×#41 | — | 67 | 2 | no | — |
| 628 | C22×#41 | — | 67 | 2 | no | — |
| 629 | C22×#41 | — | 67 | 1 | no | — |
| 630 | C22×#41 | — | 67 | 1 | no | — |
| 631 | C22×#41 | — | 134 | 2 | no | — |
| 632 | C22×#41 | — | 134 | 2 | no | — |
| 633 | C22×#41 | C2×D67 | 1 | 1 | yes | characteristic |
| 634 | #575 | — | 134 | 16 | no | — |
| 635 | C2×#137 | — | 67 | 2 | no | — |
| 636 | C2×#137 | — | 67 | 4 | no | — |
| 637 | C2×#137 | C2×D67 | 1 | 2 | yes | complemented |
| 638 | C2×AGL(1,ℤ/8) | — | 67 | 2 | no | — |
| 639 | C2×AGL(1,ℤ/8) | — | 67 | 4 | no | — |
| 640 | C2×AGL(1,ℤ/8) | — | 67 | 2 | no | — |
| 641 | C2×#135 | — | 67 | 4 | no | — |
| 642 | C2×#135 | — | 67 | 4 | no | — |
| 643 | C22×M16 | — | 67 | 2 | no | — |
| 644 | #537 | — | 67 | 4 | no | — |
| 645 | #537 | — | 67 | 4 | no | — |
| 646 | #537 | — | 134 | 2 | no | — |
| 647 | #537 | — | 134 | 2 | no | — |
| 648 | C2×C22⋊Q8 | — | 67 | 1 | no | — |
| 649 | C2×C22⋊Q8 | — | 134 | 1 | no | — |
| 650 | C2×C22⋊Q8 | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 651 | C2×#121 | — | 67 | 1 | no | — |
| 652 | C2×#121 | — | 67 | 1 | no | — |
| 653 | C2×#121 | — | 134 | 1 | no | — |
| 654 | C2×#121 | — | 134 | 1 | no | — |
| 655 | C2×#121 | — | 134 | 1 | no | — |
| 656 | C22×C4⋊C4 | — | 67 | 1 | no | — |
| 657 | #452 | — | 67 | 4 | no | — |
| 658 | #452 | — | 67 | 4 | no | — |
| 659 | #452 | — | 67 | 4 | no | — |
| 660 | #452 | C2×D67 | 1 | 4 | yes | complemented |
| 661 | #451 | — | 67 | 4 | no | — |
| 662 | #451 | — | 67 | 2 | no | — |
| 663 | #451 | C2×D67 | 1 | 2 | yes | complemented |
| 664 | #450 | — | 67 | 4 | no | — |
| 665 | #450 | — | 67 | 2 | no | — |
| 666 | #450 | C2×D67 | 1 | 2 | yes | complemented |
| 667 | #449 | — | 67 | 4 | no | — |
| 668 | #449 | — | 67 | 4 | no | — |
| 669 | #449 | — | 67 | 4 | no | — |
| 670 | #449 | — | 67 | 4 | no | — |
| 671 | #448 | — | 67 | 2 | no | — |
| 672 | #448 | — | 67 | 4 | no | — |
| 673 | #448 | — | 67 | 2 | no | — |
| 674 | #447 | — | 67 | 2 | no | — |
| 675 | #447 | — | 67 | 4 | no | — |
| 676 | #447 | — | 67 | 2 | no | — |
| 677 | #417 | — | 67 | 2 | no | — |
| 678 | #417 | — | 67 | 2 | no | — |
| 679 | #417 | — | 67 | 2 | no | — |
| 680 | #417 | — | 67 | 4 | no | — |
| 681 | #417 | — | 67 | 4 | no | — |
| 682 | #417 | C2×D67 | 1 | 2 | yes | complemented |
| 683 | C2×#103 | — | 67 | 4 | no | — |
| 684 | C2×#102 | — | 67 | 4 | no | — |
| 685 | #408 | — | 67 | 4 | no | — |
| 686 | #408 | — | 67 | 4 | no | — |
| 687 | #407 | — | 67 | 1 | no | — |
| 688 | #407 | — | 67 | 2 | no | — |
| 689 | #407 | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 690 | 2−1+4 | — | 134 | 8 | no | — |
| 691 | 2−1+4 | — | 134 | 8 | no | — |
| 692 | 2−1+4 | — | 134 | 8 | no | — |
| 693 | 2−1+4 | — | 134 | 8 | no | — |
| 694 | 2−1+4 | — | 134 | 16 | no | — |
| 695 | H(5,𝔽2) | — | 134 | 8 | no | — |
| 696 | H(5,𝔽2) | — | 134 | 8 | no | — |
| 697 | H(5,𝔽2) | — | 134 | 16 | no | — |
| 698 | H(5,𝔽2) | — | 134 | 16 | no | — |
| 699 | H(5,𝔽2) | — | 134 | 8 | no | — |
| 700 | H(5,𝔽2) | — | 134 | 8 | no | — |
| 701 | H(5,𝔽2) | — | 134 | 16 | no | — |
| 702 | C2×#41 | — | 2 | 8 | no | — |
| 703 | C2×#41 | — | 2 | 1 | no | — |
| 704 | C2×#41 | — | 2 | 1 | no | — |
| 705 | C2×#41 | — | 67 | 2 | no | — |
| 706 | C2×#41 | — | 67 | 2 | no | — |
| 707 | C2×#41 | — | 67 | 2 | no | — |
| 708 | C2×#41 | — | 67 | 2 | no | — |
| 709 | C2×#41 | — | 67 | 16 | no | — |
| 710 | C2×#41 | — | 67 | 2 | no | — |
| 711 | C2×#41 | — | 67 | 4 | no | — |
| 712 | C2×#41 | — | 67 | 2 | no | — |
| 713 | C2×#41 | — | 67 | 2 | no | — |
| 714 | C2×#41 | — | 67 | 2 | no | — |
| 715 | C2×#41 | — | 67 | 2 | no | — |
| 716 | C2×#41 | — | 67 | 2 | no | — |
| 717 | C2×#41 | — | 134 | 2 | no | — |
| 718 | C2×#41 | — | 134 | 2 | no | — |
| 719 | C2×#41 | — | 134 | 8 | no | — |
| 720 | C2×#41 | — | 134 | 2 | no | — |
| 721 | C2×#41 | — | 134 | 2 | no | — |
| 722 | C2×#41 | — | 134 | 2 | no | — |
| 723 | C2×#41 | — | 134 | 2 | no | — |
| 724 | C2×#41 | — | 134 | 8 | no | — |
| 725 | C2×#41 | — | 134 | 32 | no | — |
| 726 | C2×#41 | — | 134 | 8 | no | — |
| 727 | C2×#41 | — | 134 | 2 | no | — |
| 728 | C2×#41 | — | 134 | 2 | no | — |
| 729 | C2×#41 | — | 134 | 2 | no | — |
| 730 | C2×#41 | — | 134 | 8 | no | — |
| 731 | C2×#41 | — | 134 | 2 | no | — |
| 732 | C2×#41 | — | 134 | 2 | no | — |
| 733 | C2×#41 | — | 134 | 2 | no | — |
| 734 | C2×#41 | — | 134 | 2 | no | — |
| 735 | C2×#41 | — | 134 | 8 | no | — |
| 736 | C2×#41 | — | 134 | 32 | no | — |
| 737 | C2×#41 | — | 134 | 8 | no | — |
| 738 | C2×#41 | — | 134 | 1 | no | — |
| 739 | C2×#41 | — | 134 | 1 | no | — |
| 740 | C2×#41 | C22×D67 | 1 | 2 | yes | — |
| 741 | C2×#41 | C22×D67 | 1 | 2 | yes | — |
| 742 | C22×Q8 | — | 67 | 1 | no | — |
| 743 | C22×Q8 | — | 67 | 2 | no | — |
| 744 | C22×Q8 | — | 67 | 2 | no | — |
| 745 | C22×Q8 | — | 67 | 1 | no | — |
| 746 | C22×Q8 | — | 134 | 2 | no | — |
| 747 | C22×Q8 | — | 134 | 2 | no | — |
| 748 | C22×Q8 | C22×D67 | 1 | 1 | yes | characteristic |
| 749 | C22×Q8 | C22×D67 | 1 | 1 | yes | characteristic |
| 750 | C22×D4 | — | 2 | 1 | no | — |
| 751 | C22×D4 | — | 67 | 2 | no | — |
| 752 | C22×D4 | — | 67 | 1 | no | — |
| 753 | C22×D4 | — | 67 | 1 | no | — |
| 754 | C22×D4 | — | 67 | 2 | no | — |
| 755 | C22×D4 | — | 67 | 1 | no | — |
| 756 | C22×D4 | — | 67 | 1 | no | — |
| 757 | C22×D4 | — | 67 | 1 | no | — |
| 758 | C22×D4 | — | 134 | 1 | no | — |
| 759 | C22×D4 | — | 134 | 1 | no | — |
| 760 | C22×D4 | — | 134 | 2 | no | — |
| 761 | C22×D4 | — | 134 | 2 | no | — |
| 762 | C22×D4 | — | 134 | 2 | no | — |
| 763 | C22×D4 | — | 134 | 2 | no | — |
| 764 | C22×D4 | — | 134 | 2 | no | — |
| 765 | C22×D4 | — | 134 | 2 | no | — |
| 766 | C22×D4 | — | 134 | 1 | no | — |
| 767 | C22×D4 | — | 134 | 2 | no | — |
| 768 | C22×D4 | — | 134 | 2 | no | — |
| 769 | C22×D4 | — | 134 | 1 | no | — |
| 770 | C22×D4 | C22×D67 | 1 | 1 | yes | characteristic |
| 771 | C23×C4 | — | 2 | 1 | no | — |
| 772 | C23×C4 | — | 67 | 1 | no | — |
| 773 | C23×C4 | — | 67 | 1 | no | — |
| 774 | C23×C4 | — | 134 | 1 | no | — |
| 775 | C23×C4 | — | 134 | 1 | no | — |
| 776 | C23×C4 | — | 134 | 2 | no | — |
| 777 | C23×C4 | — | 134 | 2 | no | — |
| 778 | C23×C4 | — | 134 | 1 | no | — |
| 779 | C23×C4 | C22×D67 | 1 | 1 | yes | characteristic |
| 780 | #137 | — | 2 | 8 | no | — |
| 781 | #137 | — | 134 | 16 | no | — |
| 782 | #137 | — | 134 | 8 | no | — |
| 783 | AGL(1,ℤ/8) | — | 134 | 8 | no | — |
| 784 | AGL(1,ℤ/8) | — | 134 | 16 | no | — |
| 785 | AGL(1,ℤ/8) | — | 134 | 8 | no | — |
| 786 | #135 | — | 134 | 16 | no | — |
| 787 | #135 | — | 134 | 16 | no | — |
| 788 | C2×Q16 | — | 67 | 4 | no | — |
| 789 | C2×Q16 | C22×D67 | 1 | 4 | yes | — |
| 790 | C2×SD16 | — | 67 | 4 | no | — |
| 791 | C2×SD16 | — | 67 | 4 | no | — |
| 792 | C2×SD16 | — | 67 | 4 | no | — |
| 793 | C2×SD16 | C22×D67 | 1 | 4 | yes | — |
| 794 | C2×D8 | — | 67 | 4 | no | — |
| 795 | C2×D8 | — | 67 | 4 | no | — |
| 796 | C2×M16 | — | 67 | 2 | no | — |
| 797 | C2×M16 | — | 67 | 4 | no | — |
| 798 | C2×M16 | — | 134 | 8 | no | — |
| 799 | C2×M16 | C22×D67 | 1 | 2 | yes | — |
| 800 | C22×C8 | — | 67 | 4 | no | — |
| 801 | C22⋊Q8 | — | 2 | 1 | no | — |
| 802 | C22⋊Q8 | — | 2 | 1 | no | — |
| 803 | C22⋊Q8 | — | 67 | 4 | no | — |
| 804 | C22⋊Q8 | — | 134 | 4 | no | — |
| 805 | C22⋊Q8 | — | 134 | 4 | no | — |
| 806 | C22⋊Q8 | — | 134 | 2 | no | — |
| 807 | C22⋊Q8 | C22×D67 | 1 | 2 | yes | — |
| 808 | C22⋊Q8 | C22×D67 | 1 | 2 | yes | — |
| 809 | #121 | — | 67 | 2 | no | — |
| 810 | #121 | — | 67 | 2 | no | — |
| 811 | #121 | — | 67 | 4 | no | — |
| 812 | #121 | — | 134 | 4 | no | — |
| 813 | #121 | — | 134 | 4 | no | — |
| 814 | #121 | — | 134 | 4 | no | — |
| 815 | #121 | — | 134 | 4 | no | — |
| 816 | #121 | — | 134 | 2 | no | — |
| 817 | #121 | — | 134 | 4 | no | — |
| 818 | #121 | — | 134 | 4 | no | — |
| 819 | #121 | — | 134 | 1 | no | — |
| 820 | #121 | — | 134 | 1 | no | — |
| 821 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 822 | C2×C4⋊C4 | — | 67 | 1 | no | — |
| 823 | C2×C4⋊C4 | — | 67 | 4 | no | — |
| 824 | C2×C4⋊C4 | — | 134 | 2 | no | — |
| 825 | C2×C4⋊C4 | — | 134 | 1 | no | — |
| 826 | C2×C4⋊C4 | — | 134 | 1 | no | — |
| 827 | C2×C4⋊C4 | C22×D67 | 1 | 1 | yes | characteristic |
| 828 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 829 | C2×C22⋊C4 | — | 134 | 1 | no | — |
| 830 | C2×C22⋊C4 | — | 134 | 1 | no | — |
| 831 | C2×C22⋊C4 | — | 134 | 1 | no | — |
| 832 | #103 | — | 67 | 4 | no | — |
| 833 | #103 | — | 67 | 4 | no | — |
| 834 | #103 | — | 67 | 4 | no | — |
| 835 | #103 | C22×D67 | 1 | 4 | yes | — |
| 836 | #102 | — | 67 | 4 | no | — |
| 837 | #102 | — | 67 | 4 | no | — |
| 838 | #102 | — | 67 | 4 | no | — |
| 839 | #102 | C22×D67 | 1 | 4 | yes | — |
| 840 | C22⋊C8 | — | 67 | 2 | no | — |
| 841 | C22⋊C8 | — | 67 | 2 | no | — |
| 842 | C22⋊C8 | — | 67 | 4 | no | — |
| 843 | C22⋊C8 | — | 67 | 4 | no | — |
| 844 | C22⋊C8 | C22×D67 | 1 | 2 | yes | — |
| 845 | C22⋊C8 | C22×D67 | 1 | 2 | yes | — |
| 846 | C24 | — | 2 | 1 | no | — |
| 847 | C24 | — | 67 | 1 | no | — |
| 848 | C24 | — | 67 | 1 | no | — |
| 849 | C24 | — | 134 | 2 | no | — |
| 850 | C24 | — | 134 | 2 | no | — |
| 851 | C24 | — | 134 | 1 | no | — |
| 852 | C24 | — | 134 | 1 | no | — |
| 853 | C24 | D4×D67 | 1 | 1 | yes | characteristic |
| 854 | #41 | — | 2 | 8 | no | — |
| 855 | #41 | — | 2 | 8 | no | — |
| 856 | #41 | — | 2 | 4 | no | — |
| 857 | #41 | — | 2 | 4 | no | — |
| 858 | #41 | — | 2 | 4 | no | — |
| 859 | #41 | — | 268 | 8 | no | — |
| 860 | #41 | — | 67 | 8 | no | — |
| 861 | #41 | — | 67 | 8 | no | — |
| 862 | #41 | — | 67 | 8 | no | — |
| 863 | #41 | — | 134 | 8 | no | — |
| 864 | #41 | — | 134 | 16 | no | — |
| 865 | #41 | — | 134 | 8 | no | — |
| 866 | #41 | — | 134 | 4 | no | — |
| 867 | #41 | — | 134 | 4 | no | — |
| 868 | #41 | — | 134 | 4 | no | — |
| 869 | #41 | — | 134 | 4 | no | — |
| 870 | #41 | — | 134 | 4 | no | — |
| 871 | #41 | — | 134 | 4 | no | — |
| 872 | #41 | — | 134 | 8 | no | — |
| 873 | #41 | — | 134 | 16 | no | — |
| 874 | #41 | — | 134 | 16 | no | — |
| 875 | #41 | — | 134 | 16 | no | — |
| 876 | #41 | — | 134 | 16 | no | — |
| 877 | #41 | — | 134 | 16 | no | — |
| 878 | #41 | — | 134 | 8 | no | — |
| 879 | #41 | — | 134 | 8 | no | — |
| 880 | #41 | — | 134 | 8 | no | — |
| 881 | #41 | — | 134 | 16 | no | — |
| 882 | #41 | — | 134 | 4 | no | — |
| 883 | #41 | — | 134 | 4 | no | — |
| 884 | #41 | — | 134 | 4 | no | — |
| 885 | #41 | — | 134 | 16 | no | — |
| 886 | #41 | — | 134 | 16 | no | — |
| 887 | #41 | — | 134 | 16 | no | — |
| 888 | #41 | — | 134 | 16 | no | — |
| 889 | #41 | — | 134 | 4 | no | — |
| 890 | #41 | — | 134 | 16 | no | — |
| 891 | #41 | — | 134 | 4 | no | — |
| 892 | #41 | — | 134 | 4 | no | — |
| 893 | #41 | — | 134 | 4 | no | — |
| 894 | #41 | D4×D67 | 1 | 8 | yes | — |
| 895 | C2×Q8 | — | 2 | 4 | no | — |
| 896 | C2×Q8 | — | 2 | 1 | no | — |
| 897 | C2×Q8 | — | 2 | 1 | no | — |
| 898 | C2×Q8 | — | 2 | 4 | no | — |
| 899 | C2×Q8 | — | 67 | 2 | no | — |
| 900 | C2×Q8 | — | 67 | 2 | no | — |
| 901 | C2×Q8 | — | 67 | 8 | no | — |
| 902 | C2×Q8 | — | 67 | 2 | no | — |
| 903 | C2×Q8 | — | 134 | 2 | no | — |
| 904 | C2×Q8 | — | 134 | 2 | no | — |
| 905 | C2×Q8 | — | 134 | 4 | no | — |
| 906 | C2×Q8 | — | 134 | 4 | no | — |
| 907 | C2×Q8 | — | 134 | 16 | no | — |
| 908 | C2×Q8 | — | 134 | 4 | no | — |
| 909 | C2×Q8 | — | 134 | 4 | no | — |
| 910 | C2×Q8 | — | 134 | 16 | no | — |
| 911 | C2×Q8 | — | 134 | 4 | no | — |
| 912 | C2×Q8 | — | 134 | 1 | no | — |
| 913 | C2×Q8 | C23×D67 | 1 | 2 | yes | — |
| 914 | C2×Q8 | C23×D67 | 1 | 2 | yes | — |
| 915 | C2×D4 | — | 2 | 8 | no | — |
| 916 | C2×D4 | — | 2 | 2 | no | — |
| 917 | C2×D4 | — | 2 | 2 | no | — |
| 918 | C2×D4 | — | 2 | 4 | no | — |
| 919 | C2×D4 | — | 2 | 1 | no | — |
| 920 | C2×D4 | — | 268 | 4 | no | — |
| 921 | C2×D4 | — | 536 | 2 | no | — |
| 922 | C2×D4 | — | 536 | 2 | no | — |
| 923 | C2×D4 | — | 67 | 8 | no | — |
| 924 | C2×D4 | — | 67 | 2 | no | — |
| 925 | C2×D4 | — | 67 | 2 | no | — |
| 926 | C2×D4 | — | 67 | 2 | no | — |
| 927 | C2×D4 | — | 67 | 2 | no | — |
| 928 | C2×D4 | — | 67 | 2 | no | — |
| 929 | C2×D4 | — | 67 | 2 | no | — |
| 930 | C2×D4 | — | 67 | 2 | no | — |
| 931 | C2×D4 | — | 67 | 2 | no | — |
| 932 | C2×D4 | — | 134 | 4 | no | — |
| 933 | C2×D4 | — | 134 | 4 | no | — |
| 934 | C2×D4 | — | 134 | 4 | no | — |
| 935 | C2×D4 | — | 134 | 4 | no | — |
| 936 | C2×D4 | — | 134 | 2 | no | — |
| 937 | C2×D4 | — | 134 | 2 | no | — |
| 938 | C2×D4 | — | 134 | 16 | no | — |
| 939 | C2×D4 | — | 134 | 4 | no | — |
| 940 | C2×D4 | — | 134 | 2 | no | — |
| 941 | C2×D4 | — | 134 | 2 | no | — |
| 942 | C2×D4 | — | 134 | 4 | no | — |
| 943 | C2×D4 | — | 134 | 4 | no | — |
| 944 | C2×D4 | — | 134 | 16 | no | — |
| 945 | C2×D4 | — | 134 | 16 | no | — |
| 946 | C2×D4 | — | 134 | 16 | no | — |
| 947 | C2×D4 | — | 134 | 16 | no | — |
| 948 | C2×D4 | — | 134 | 16 | no | — |
| 949 | C2×D4 | — | 134 | 2 | no | — |
| 950 | C2×D4 | — | 134 | 2 | no | — |
| 951 | C2×D4 | — | 134 | 4 | no | — |
| 952 | C2×D4 | — | 134 | 2 | no | — |
| 953 | C2×D4 | — | 134 | 2 | no | — |
| 954 | C2×D4 | — | 134 | 16 | no | — |
| 955 | C2×D4 | — | 134 | 16 | no | — |
| 956 | C2×D4 | — | 134 | 8 | no | — |
| 957 | C2×D4 | — | 134 | 2 | no | — |
| 958 | C2×D4 | — | 134 | 2 | no | — |
| 959 | C2×D4 | — | 134 | 4 | no | — |
| 960 | C2×D4 | — | 134 | 1 | no | — |
| 961 | C2×D4 | — | 134 | 4 | no | — |
| 962 | C2×D4 | — | 134 | 1 | no | — |
| 963 | C2×D4 | C23×D67 | 1 | 2 | yes | — |
| 964 | C22×C4 | — | 2 | 8 | no | — |
| 965 | C22×C4 | — | 2 | 1 | no | — |
| 966 | C22×C4 | — | 2 | 2 | no | — |
| 967 | C22×C4 | — | 2 | 2 | no | — |
| 968 | C22×C4 | — | 2 | 4 | no | — |
| 969 | C22×C4 | — | 2 | 1 | no | — |
| 970 | C22×C4 | — | 2 | 1 | no | — |
| 971 | C22×C4 | — | 268 | 4 | no | — |
| 972 | C22×C4 | — | 536 | 2 | no | — |
| 973 | C22×C4 | — | 67 | 1 | no | — |
| 974 | C22×C4 | — | 67 | 2 | no | — |
| 975 | C22×C4 | — | 67 | 8 | no | — |
| 976 | C22×C4 | — | 67 | 2 | no | — |
| 977 | C22×C4 | — | 67 | 1 | no | — |
| 978 | C22×C4 | — | 67 | 2 | no | — |
| 979 | C22×C4 | — | 67 | 2 | no | — |
| 980 | C22×C4 | — | 134 | 4 | no | — |
| 981 | C22×C4 | — | 134 | 4 | no | — |
| 982 | C22×C4 | — | 134 | 2 | no | — |
| 983 | C22×C4 | — | 134 | 2 | no | — |
| 984 | C22×C4 | — | 134 | 16 | no | — |
| 985 | C22×C4 | — | 134 | 2 | no | — |
| 986 | C22×C4 | — | 134 | 2 | no | — |
| 987 | C22×C4 | — | 134 | 16 | no | — |
| 988 | C22×C4 | — | 134 | 8 | no | — |
| 989 | C22×C4 | — | 134 | 1 | no | — |
| 990 | C22×C4 | — | 134 | 2 | no | — |
| 991 | C22×C4 | — | 134 | 2 | no | — |
| 992 | C22×C4 | — | 134 | 1 | no | — |
| 993 | C22×C4 | — | 134 | 4 | no | — |
| 994 | C22×C4 | — | 134 | 2 | no | — |
| 995 | C22×C4 | — | 134 | 2 | no | — |
| 996 | C22×C4 | D4×D67 | 1 | 1 | yes | characteristic |
| 997 | C22×C4 | D4×D67 | 1 | 1 | yes | characteristic |
| 998 | C22×C4 | D4×D67 | 1 | 1 | yes | characteristic |
| 999 | C22×C4 | C23×D67 | 1 | 1 | yes | characteristic |
| 1000 | C22×C4 | C23×D67 | 1 | 1 | yes | characteristic |
| 1001 | C22×C4 | C23×D67 | 1 | 1 | yes | characteristic |
| 1002 | Q16 | — | 2 | 8 | no | — |
| 1003 | Q16 | — | 134 | 8 | no | — |
| 1004 | SD16 | — | 2 | 8 | no | — |
| 1005 | SD16 | — | 134 | 8 | no | — |
| 1006 | SD16 | — | 134 | 8 | no | — |
| 1007 | SD16 | — | 134 | 8 | no | — |
| 1008 | D8 | — | 134 | 8 | no | — |
| 1009 | D8 | — | 134 | 8 | no | — |
| 1010 | M16 | — | 2 | 4 | no | — |
| 1011 | M16 | — | 134 | 8 | no | — |
| 1012 | M16 | — | 134 | 4 | no | — |
| 1013 | C2×C8 | — | 67 | 4 | no | — |
| 1014 | C2×C8 | — | 134 | 8 | no | — |
| 1015 | C2×C8 | C23×D67 | 1 | 4 | yes | — |
| 1016 | C4⋊C4 | — | 2 | 2 | no | — |
| 1017 | C4⋊C4 | — | 2 | 2 | no | — |
| 1018 | C4⋊C4 | — | 2 | 1 | no | — |
| 1019 | C4⋊C4 | — | 67 | 2 | no | — |
| 1020 | C4⋊C4 | — | 134 | 4 | no | — |
| 1021 | C4⋊C4 | — | 134 | 4 | no | — |
| 1022 | C4⋊C4 | — | 134 | 1 | no | — |
| 1023 | C4⋊C4 | C23×D67 | 1 | 2 | yes | — |
| 1024 | C22⋊C4 | — | 2 | 2 | no | — |
| 1025 | C22⋊C4 | — | 2 | 2 | no | — |
| 1026 | C22⋊C4 | — | 134 | 4 | no | — |
| 1027 | C22⋊C4 | — | 134 | 4 | no | — |
| 1028 | C22⋊C4 | — | 134 | 2 | no | — |
| 1029 | C22⋊C4 | — | 134 | 2 | no | — |
| 1030 | C23 | — | 2 | 4 | no | — |
| 1031 | C23 | — | 2 | 2 | no | — |
| 1032 | C23 | — | 2 | 2 | no | — |
| 1033 | C23 | — | 4 | 1 | no | — |
| 1034 | C23 | — | 4 | 1 | no | — |
| 1035 | C23 | — | 8 | 1 | no | — |
| 1036 | C23 | — | 8 | 1 | no | — |
| 1037 | C23 | — | 268 | 1 | no | — |
| 1038 | C23 | — | 268 | 1 | no | — |
| 1039 | C23 | — | 268 | 2 | no | — |
| 1040 | C23 | — | 268 | 2 | no | — |
| 1041 | C23 | — | 268 | 1 | no | — |
| 1042 | C23 | — | 268 | 1 | no | — |
| 1043 | C23 | — | 268 | 2 | no | — |
| 1044 | C23 | — | 536 | 1 | no | — |
| 1045 | C23 | — | 536 | 1 | no | — |
| 1046 | C23 | — | 536 | 2 | no | — |
| 1047 | C23 | — | 536 | 2 | no | — |
| 1048 | C23 | — | 536 | 2 | no | — |
| 1049 | C23 | — | 536 | 2 | no | — |
| 1050 | C23 | — | 67 | 4 | no | — |
| 1051 | C23 | — | 67 | 2 | no | — |
| 1052 | C23 | — | 67 | 2 | no | — |
| 1053 | C23 | — | 134 | 8 | no | — |
| 1054 | C23 | — | 134 | 4 | no | — |
| 1055 | C23 | — | 134 | 8 | no | — |
| 1056 | C23 | — | 134 | 2 | no | — |
| 1057 | C23 | — | 134 | 2 | no | — |
| 1058 | C23 | — | 134 | 2 | no | — |
| 1059 | C23 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1060 | C23 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1061 | C23 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1062 | Q8 | — | 2 | 4 | no | — |
| 1063 | Q8 | — | 2 | 2 | no | — |
| 1064 | Q8 | — | 2 | 4 | no | — |
| 1065 | Q8 | — | 4 | 2 | no | — |
| 1066 | Q8 | — | 67 | 4 | no | — |
| 1067 | Q8 | — | 134 | 4 | no | — |
| 1068 | Q8 | — | 134 | 8 | no | — |
| 1069 | Q8 | — | 134 | 4 | no | — |
| 1070 | Q8 | — | 134 | 4 | no | — |
| 1071 | Q8 | — | 134 | 8 | no | — |
| 1072 | Q8 | — | 134 | 2 | no | — |
| 1073 | Q8 | C2×D4×D67 | 1 | 4 | yes | — |
| 1074 | D4 | — | 2 | 8 | no | — |
| 1075 | D4 | — | 2 | 4 | no | — |
| 1076 | D4 | — | 2 | 8 | no | — |
| 1077 | D4 | — | 2 | 2 | no | — |
| 1078 | D4 | — | 268 | 8 | no | — |
| 1079 | D4 | — | 268 | 2 | no | — |
| 1080 | D4 | — | 536 | 4 | no | — |
| 1081 | D4 | — | 536 | 2 | no | — |
| 1082 | D4 | — | 536 | 2 | no | — |
| 1083 | D4 | — | 67 | 4 | no | — |
| 1084 | D4 | — | 134 | 4 | no | — |
| 1085 | D4 | — | 134 | 4 | no | — |
| 1086 | D4 | — | 134 | 8 | no | — |
| 1087 | D4 | — | 134 | 4 | no | — |
| 1088 | D4 | — | 134 | 8 | no | — |
| 1089 | D4 | — | 134 | 4 | no | — |
| 1090 | D4 | — | 134 | 4 | no | — |
| 1091 | D4 | — | 134 | 8 | no | — |
| 1092 | D4 | — | 134 | 4 | no | — |
| 1093 | D4 | — | 134 | 4 | no | — |
| 1094 | D4 | — | 134 | 8 | no | — |
| 1095 | D4 | — | 134 | 8 | no | — |
| 1096 | D4 | — | 134 | 8 | no | — |
| 1097 | D4 | — | 134 | 8 | no | — |
| 1098 | D4 | — | 134 | 8 | no | — |
| 1099 | D4 | — | 134 | 4 | no | — |
| 1100 | D4 | — | 134 | 2 | no | — |
| 1101 | D4 | C2×D4×D67 | 1 | 4 | yes | — |
| 1102 | C2×C4 | — | 2 | 4 | no | — |
| 1103 | C2×C4 | — | 2 | 8 | no | — |
| 1104 | C2×C4 | — | 2 | 2 | no | — |
| 1105 | C2×C4 | — | 2 | 2 | no | — |
| 1106 | C2×C4 | — | 2 | 2 | no | — |
| 1107 | C2×C4 | — | 2 | 8 | no | — |
| 1108 | C2×C4 | — | 2 | 2 | no | — |
| 1109 | C2×C4 | — | 2 | 2 | no | — |
| 1110 | C2×C4 | — | 2 | 2 | no | — |
| 1111 | C2×C4 | — | 2 | 2 | no | — |
| 1112 | C2×C4 | — | 2 | 2 | no | — |
| 1113 | C2×C4 | — | 4 | 2 | no | — |
| 1114 | C2×C4 | — | 4 | 2 | no | — |
| 1115 | C2×C4 | — | 268 | 8 | no | — |
| 1116 | C2×C4 | — | 268 | 2 | no | — |
| 1117 | C2×C4 | — | 536 | 4 | no | — |
| 1118 | C2×C4 | — | 67 | 4 | no | — |
| 1119 | C2×C4 | — | 67 | 2 | no | — |
| 1120 | C2×C4 | — | 67 | 8 | no | — |
| 1121 | C2×C4 | — | 67 | 4 | no | — |
| 1122 | C2×C4 | — | 67 | 4 | no | — |
| 1123 | C2×C4 | — | 67 | 2 | no | — |
| 1124 | C2×C4 | — | 134 | 8 | no | — |
| 1125 | C2×C4 | — | 134 | 8 | no | — |
| 1126 | C2×C4 | — | 134 | 8 | no | — |
| 1127 | C2×C4 | — | 134 | 8 | no | — |
| 1128 | C2×C4 | — | 134 | 8 | no | — |
| 1129 | C2×C4 | — | 134 | 2 | no | — |
| 1130 | C2×C4 | — | 134 | 8 | no | — |
| 1131 | C2×C4 | — | 134 | 8 | no | — |
| 1132 | C2×C4 | — | 134 | 4 | no | — |
| 1133 | C2×C4 | — | 134 | 2 | no | — |
| 1134 | C2×C4 | — | 134 | 2 | no | — |
| 1135 | C2×C4 | — | 134 | 4 | no | — |
| 1136 | C2×C4 | — | 134 | 8 | no | — |
| 1137 | C2×C4 | — | 134 | 2 | no | — |
| 1138 | C2×C4 | — | 134 | 2 | no | — |
| 1139 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1140 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1141 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1142 | C2×C4 | C2×D4×D67 | 1 | 4 | yes | — |
| 1143 | C2×C4 | C24×D67 | 1 | 1 | yes | characteristic |
| 1144 | C8 | — | 2 | 4 | no | — |
| 1145 | C8 | — | 134 | 4 | no | — |
| 1146 | C22 | — | 2 | 1 | no | — |
| 1147 | C22 | — | 2 | 1 | no | — |
| 1148 | C22 | — | 2 | 1 | no | — |
| 1149 | C22 | — | 2 | 1 | no | — |
| 1150 | C22 | — | 2 | 4 | no | — |
| 1151 | C22 | — | 2 | 1 | no | — |
| 1152 | C22 | — | 2 | 1 | no | — |
| 1153 | C22 | — | 2 | 1 | no | — |
| 1154 | C22 | — | 2 | 1 | no | — |
| 1155 | C22 | — | 4 | 2 | no | — |
| 1156 | C22 | — | 4 | 2 | no | — |
| 1157 | C22 | — | 8 | 2 | no | — |
| 1158 | C22 | — | 8 | 4 | no | — |
| 1159 | C22 | — | 268 | 4 | no | — |
| 1160 | C22 | — | 268 | 2 | no | — |
| 1161 | C22 | — | 268 | 2 | no | — |
| 1162 | C22 | — | 268 | 2 | no | — |
| 1163 | C22 | — | 268 | 2 | no | — |
| 1164 | C22 | — | 268 | 2 | no | — |
| 1165 | C22 | — | 536 | 2 | no | — |
| 1166 | C22 | — | 536 | 4 | no | — |
| 1167 | C22 | — | 536 | 4 | no | — |
| 1168 | C22 | — | 536 | 8 | no | — |
| 1169 | C22 | — | 536 | 8 | no | — |
| 1170 | C22 | — | 67 | 4 | no | — |
| 1171 | C22 | — | 134 | 4 | no | — |
| 1172 | C22 | — | 134 | 2 | no | — |
| 1173 | C22 | — | 134 | 2 | no | — |
| 1174 | C22 | — | 134 | 2 | no | — |
| 1175 | C22 | — | 134 | 2 | no | — |
| 1176 | C22 | — | 134 | 2 | no | — |
| 1177 | C22 | #120×D67 | 1 | 2 | yes | — |
| 1178 | C22 | C22×D4×D67 | 1 | 1 | yes | characteristic |
| 1179 | C4 | — | 2 | 1 | no | — |
| 1180 | C4 | — | 2 | 4 | no | — |
| 1181 | C4 | — | 2 | 1 | no | — |
| 1182 | C4 | — | 4 | 2 | no | — |
| 1183 | C4 | — | 4 | 2 | no | — |
| 1184 | C4 | — | 268 | 2 | no | — |
| 1185 | C4 | — | 67 | 4 | no | — |
| 1186 | C4 | — | 134 | 2 | no | — |
| 1187 | C4 | — | 134 | 4 | no | — |
| 1188 | C4 | #120×D67 | 1 | 2 | yes | — |
| 1189 | C4 | C22×D4×D67 | 1 | 2 | yes | — |
| 1190 | C2 | — | 2 | 2 | no | — |
| 1191 | C2 | — | 4 | 1 | no | — |
| 1192 | C2 | — | 4 | 1 | no | — |
| 1193 | C2 | — | 4 | 4 | no | — |
| 1194 | C2 | — | 268 | 4 | no | — |
| 1195 | C2 | — | 268 | 2 | no | — |
| 1196 | C2 | — | 536 | 2 | no | — |
| 1197 | C2 | — | 134 | 4 | no | — |
| 1198 | C2 | C2×#120×D67 | 1 | 1 | yes | characteristic |
| 1199 | C2 | #22574986 | 1 | 1 | yes | characteristic |
| 1200 | C2 | #22574992 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#16864232 | C2 | semidirect |
| 2. C2×#16864195 | C2 | semidirect |
| 3. C2×#16863976 | C2 | semidirect |
| 4. #22569528 | C2 | semidirect |
| 5. #22569525 | C2 | semidirect |
| 6. #22569517 | C2 | semidirect |
| 7. #22569514 | C2 | semidirect |
| 8. #22569467 | C2 | semidirect |
| 9. #22569465 | C2 | semidirect |
| 10. #22569463 | C2 | semidirect |
| 11. #22569462 | C2 | semidirect |
| 12. #22569461 | C2 | semidirect |
| 13. #417×D67 | C2 | semidirect |
| 14. #22568652 | C2 | semidirect |
| 15. C67×#3007 | C2 | semidirect |
| 17. C2×#14524091 | C22 | semidirect |
| 19. C2×#14524090 | C22 | semidirect |
| 21. C2×#14524089 | C22 | semidirect |
| 24. C2×#14524088 | C22 | semidirect |
| 25. C22×#11761629 | C22 | semidirect |
| 33. C2×#14524075 | C22 | semidirect |
| 34. C2×#14524074 | C22 | semidirect |
| 35. C2×#14524071 | C22 | semidirect |
| 36. C2×#14524070 | C22 | semidirect |
| 37. C2×#14524068 | C22 | semidirect |
| 38. C2×#14524066 | C22 | semidirect |
| 39. C2×#14524064 | C22 | semidirect |
| 40. C2×M16×D67 | C22 | semidirect |
| 43. #16863976 | C22 | semidirect |
| 44. #16863976 | C22 | semidirect |
| 46. C2×#14524019 | C22 | semidirect |
| 48. C2×#14524018 | C22 | semidirect |
| 49. C2×#14524017 | C22 | semidirect |
| 52. C2×C4⋊C4×D67 | C22 | semidirect |
| 53. #16863557 | C22 | semidirect |
| 54. #16863556 | C22 | semidirect |
| 55. #16863555 | C22 | semidirect |
| 56. #16863551 | C22 | semidirect |
| 57. #16863550 | C22 | semidirect |
| 58. #16863546 | C22 | semidirect |
| 59. #16863545 | C22 | semidirect |
| 60. #16863544 | C22 | semidirect |
| 61. #16863543 | C22 | semidirect |
| 62. #16863542 | C22 | semidirect |
| 63. #16863541 | C22 | semidirect |
| 64. #16863537 | C22 | semidirect |
| 65. #16863536 | C22 | semidirect |
| 66. #16863535 | C22 | semidirect |
| 67. #16863532 | C22 | semidirect |
| 68. #16863531 | C22 | semidirect |
| 69. #16863530 | C22 | semidirect |
| 70. #16863398 | C22 | semidirect |
| 71. #16863397 | C22 | semidirect |
| 72. #16863396 | C22 | semidirect |
| 73. #16863395 | C22 | semidirect |
| 74. #16863394 | C22 | semidirect |
| 75. #103×D67 | C22 | semidirect |
| 76. #102×D67 | C22 | semidirect |
| 77. #16863361 | C22 | semidirect |
| 78. #16863361 | C22 | semidirect |
| 79. #16863360 | C22 | semidirect |
| 80. #16863359 | C22 | semidirect |
| 82. C2×#137×C67 | C22 | semidirect |
| 83. C2×C22⋊Q8×C67 | C22 | semidirect |
| 84. #452×C67 | C22 | semidirect |
| 85. #451×C67 | C22 | semidirect |
| 86. #450×C67 | C22 | semidirect |
| 87. #417×C67 | C22 | semidirect |
| 88. #407×C67 | C22 | semidirect |
| 135. #41×D67 | D4 | semidirect |
| 258. #11761629 | C2×D4 | semidirect |
| 285. #11761627 | C2×D4 | semidirect |
| 299. Q8×D67 | C2×D4 | semidirect |
| 342. D4×D67 | C2×D4 | semidirect |
| 610. #3007 | D67 | semidirect |
| 616. C67 | #60371 | semidirect |
| 637. C2×#137 | C2×D67 | semidirect |
| 650. C2×C22⋊Q8 | C2×D67 | semidirect |
| 660. #452 | C2×D67 | semidirect |
| 663. #451 | C2×D67 | semidirect |
| 666. #450 | C2×D67 | semidirect |
| 682. #417 | C2×D67 | semidirect |
| 689. #407 | C2×D67 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16864232 | 2 |
| C2×#16864195 | 2 |
| C2×#16863976 | 2 |
| #22569528 | 2 |
| #22569525 | 2 |
| #22569517 | 2 |
| #22569514 | 2 |
| #22569467 | 2 |
| #22569465 | 2 |
| #22569463 | 2 |
| #22569462 | 2 |
| #22569461 | 2 |
| #417×D67 | 2 |
| #22568652 | 2 |
| C67×#3007 | 2 |
| #60371 | 67 |