Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
1082 conjugacy classes of subgroups.
The subgroup lattice has 898 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #22574547 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22569576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22569572 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#16863581 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22562240 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #22562236 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #22562232 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #22562231 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #22561896 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#16863194 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C67×#2133 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#14524091 | C22 | 1 | 1 | yes | characteristic |
| 13 | #16864196 | — | 2 | 1 | no | — |
| 14 | #16864194 | — | 2 | 1 | no | — |
| 15 | C2×#14524076 | — | 2 | 1 | no | — |
| 16 | #16864147 | — | 2 | 1 | no | — |
| 17 | #16864146 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #16864145 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #16864126 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #16864108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #16864100 | — | 2 | 1 | no | — |
| 22 | #16864083 | — | 2 | 1 | no | — |
| 23 | #16864079 | — | 2 | 1 | no | — |
| 24 | #16864045 | — | 2 | 1 | no | — |
| 25 | #16864044 | — | 2 | 1 | no | — |
| 26 | #16864025 | — | 2 | 1 | no | — |
| 27 | #16864023 | — | 2 | 1 | no | — |
| 28 | #16864016 | — | 2 | 1 | no | — |
| 29 | #16864010 | — | 2 | 1 | no | — |
| 30 | #16863970 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16863968 | — | 2 | 1 | no | — |
| 32 | C2×#14524041 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16863923 | — | 2 | 1 | no | — |
| 34 | #16863581 | — | 2 | 1 | no | — |
| 35 | #16863581 | — | 2 | 1 | no | — |
| 36 | #16863581 | — | 2 | 1 | no | — |
| 37 | #16863581 | C22 | 1 | 2 | yes | — |
| 38 | #16863581 | C22 | 1 | 2 | yes | — |
| 39 | #16863581 | C22 | 1 | 2 | yes | — |
| 40 | #16863578 | — | 2 | 1 | no | — |
| 41 | #16863578 | C22 | 1 | 2 | yes | — |
| 42 | #16863571 | — | 2 | 1 | no | — |
| 43 | #16863571 | C22 | 1 | 2 | yes | — |
| 44 | #16863568 | — | 2 | 1 | no | — |
| 45 | #16863568 | C22 | 1 | 2 | yes | — |
| 46 | #16863414 | — | 2 | 1 | no | — |
| 47 | #16863412 | — | 2 | 1 | no | — |
| 48 | C2×#14523969 | — | 2 | 1 | no | — |
| 49 | C2×#14523962 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16863194 | C22 | 1 | 2 | yes | complemented |
| 51 | #16863194 | C22 | 1 | 2 | yes | complemented |
| 52 | #16863194 | C22 | 1 | 2 | yes | complemented |
| 53 | #16863192 | C22 | 1 | 2 | yes | complemented |
| 54 | #536×C67 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#101×C67 | C22 | 1 | 1 | yes | characteristic |
| 56 | C2×#101×C67 | C22 | 1 | 1 | yes | characteristic |
| 57 | #356×C67 | C22 | 1 | 2 | yes | complemented |
| 58 | #355×C67 | C22 | 1 | 2 | yes | complemented |
| 59 | #14524091 | — | 2 | 1 | no | — |
| 60 | #14524091 | — | 2 | 1 | no | — |
| 61 | #14524091 | — | 2 | 1 | no | — |
| 62 | #14524091 | — | 4 | 2 | no | — |
| 63 | #14524091 | C23 | 1 | 2 | yes | — |
| 64 | C2×#11761629 | — | 4 | 1 | no | — |
| 65 | C2×#11761628 | — | 2 | 1 | no | — |
| 66 | C2×#11761628 | — | 2 | 1 | no | — |
| 67 | C2×#11761628 | — | 2 | 1 | no | — |
| 68 | C2×#11761628 | D4 | 1 | 1 | yes | characteristic |
| 69 | C2×#11761627 | — | 2 | 1 | no | — |
| 70 | C22×Dic134 | D4 | 1 | 1 | yes | characteristic |
| 71 | C2×Q8×D67 | — | 4 | 1 | no | — |
| 72 | #14524076 | — | 2 | 2 | no | — |
| 73 | #14524076 | — | 2 | 2 | no | — |
| 74 | #14524076 | — | 2 | 2 | no | — |
| 75 | #14524076 | — | 4 | 1 | no | — |
| 76 | #14524076 | — | 4 | 2 | no | — |
| 77 | #14524074 | — | 2 | 2 | no | — |
| 78 | #14524073 | — | 4 | 1 | no | — |
| 79 | #14524071 | — | 2 | 2 | no | — |
| 80 | #14524071 | — | 4 | 1 | no | — |
| 81 | #14524069 | — | 2 | 2 | no | — |
| 82 | #14524068 | — | 4 | 1 | no | — |
| 83 | #14524065 | — | 4 | 2 | no | — |
| 84 | #14524063 | — | 4 | 2 | no | — |
| 85 | C2×Dic268 | — | 4 | 1 | no | — |
| 86 | C2×#11761617 | — | 4 | 1 | no | — |
| 87 | C2×#11761612 | — | 2 | 1 | no | — |
| 88 | #14524042 | — | 2 | 1 | no | — |
| 89 | #14524042 | — | 2 | 1 | no | — |
| 90 | #14524042 | — | 2 | 1 | no | — |
| 91 | #14524041 | — | 2 | 1 | no | — |
| 92 | #14524041 | — | 2 | 1 | no | — |
| 93 | #14524041 | — | 2 | 1 | no | — |
| 94 | #14524041 | D4 | 1 | 1 | yes | characteristic |
| 95 | #14524041 | D4 | 1 | 1 | yes | characteristic |
| 96 | #14524041 | D4 | 1 | 1 | yes | characteristic |
| 97 | #14524041 | C23 | 1 | 1 | yes | characteristic |
| 98 | #14524041 | C23 | 1 | 1 | yes | characteristic |
| 99 | #14524041 | C23 | 1 | 1 | yes | characteristic |
| 100 | #14524038 | — | 2 | 1 | no | — |
| 101 | #14524038 | — | 2 | 1 | no | — |
| 102 | #14524037 | — | 2 | 1 | no | — |
| 103 | #14524036 | — | 2 | 1 | no | — |
| 104 | #14524036 | — | 2 | 1 | no | — |
| 105 | #14524036 | — | 2 | 1 | no | — |
| 106 | #14524035 | — | 2 | 1 | no | — |
| 107 | #14524034 | — | 2 | 1 | no | — |
| 108 | #14524033 | — | 2 | 1 | no | — |
| 109 | #14524033 | — | 2 | 1 | no | — |
| 110 | #14524033 | — | 2 | 1 | no | — |
| 111 | #14524033 | — | 2 | 1 | no | — |
| 112 | #14524033 | — | 2 | 1 | no | — |
| 113 | #14524032 | D4 | 1 | 1 | yes | characteristic |
| 114 | #14524032 | C23 | 1 | 1 | yes | characteristic |
| 115 | #14524029 | — | 2 | 1 | no | — |
| 116 | #14524029 | — | 2 | 1 | no | — |
| 117 | #14524029 | — | 2 | 1 | no | — |
| 118 | #14524028 | — | 2 | 1 | no | — |
| 119 | #14524027 | — | 2 | 1 | no | — |
| 120 | #14524026 | — | 2 | 1 | no | — |
| 121 | #14524026 | — | 2 | 1 | no | — |
| 122 | #14524026 | — | 2 | 1 | no | — |
| 123 | #14524025 | — | 2 | 1 | no | — |
| 124 | #14524024 | — | 2 | 1 | no | — |
| 125 | #14524024 | — | 2 | 1 | no | — |
| 126 | #14524022 | — | 2 | 1 | no | — |
| 127 | #14524021 | — | 2 | 1 | no | — |
| 128 | #14524021 | — | 2 | 1 | no | — |
| 129 | #14524021 | — | 2 | 1 | no | — |
| 130 | #14524021 | — | 2 | 1 | no | — |
| 131 | #14524020 | — | 2 | 1 | no | — |
| 132 | #14524020 | — | 2 | 1 | no | — |
| 133 | #14524020 | — | 2 | 1 | no | — |
| 134 | #14524020 | — | 2 | 1 | no | — |
| 135 | #14524020 | — | 2 | 1 | no | — |
| 136 | #14524019 | — | 2 | 1 | no | — |
| 137 | #14524019 | — | 2 | 1 | no | — |
| 138 | #14524019 | — | 2 | 1 | no | — |
| 139 | #14524016 | — | 2 | 1 | no | — |
| 140 | #14524015 | — | 2 | 1 | no | — |
| 141 | #14524015 | — | 2 | 1 | no | — |
| 142 | C4×Dic134 | — | 2 | 1 | no | — |
| 143 | #14524008 | — | 2 | 1 | no | — |
| 144 | #14524008 | — | 2 | 1 | no | — |
| 145 | D4×Dic67 | — | 2 | 1 | no | — |
| 146 | C4×C22⋊D67 | — | 2 | 1 | no | — |
| 147 | (C22⋊D67)⋊C4 | — | 2 | 1 | no | — |
| 148 | (C22⋊D67)⋊C4 | — | 2 | 1 | no | — |
| 149 | (C22⋊D67)⋊C4 | — | 2 | 1 | no | — |
| 150 | #14524002 | D4 | 1 | 1 | yes | characteristic |
| 151 | #14524001 | — | 2 | 1 | no | — |
| 152 | #14524000 | — | 2 | 1 | no | — |
| 153 | #14523999 | — | 2 | 1 | no | — |
| 154 | #14523999 | — | 2 | 1 | no | — |
| 155 | #14523999 | — | 2 | 1 | no | — |
| 156 | C2×Dic67⋊C4 | — | 2 | 1 | no | — |
| 157 | C2×Dic67⋊C4 | — | 2 | 1 | no | — |
| 158 | C2×Dic67⋊C4 | — | 2 | 1 | no | — |
| 159 | C4⋊C4×D67 | — | 2 | 1 | no | — |
| 160 | C2×C4×Dic67 | D4 | 1 | 1 | yes | characteristic |
| 161 | #14523971 | — | 2 | 2 | no | — |
| 162 | #14523971 | — | 2 | 2 | no | — |
| 163 | #14523969 | — | 2 | 2 | no | — |
| 164 | #14523969 | — | 2 | 2 | no | — |
| 165 | #14523969 | — | 2 | 2 | no | — |
| 166 | #14523969 | — | 2 | 2 | no | — |
| 167 | #14523962 | — | 2 | 1 | no | — |
| 168 | #14523962 | C23 | 1 | 2 | yes | — |
| 169 | C2×#41×C67 | D4 | 1 | 1 | yes | characteristic |
| 170 | C22×Q8×C67 | C23 | 1 | 1 | yes | characteristic |
| 171 | C2×M16×C67 | — | 2 | 1 | no | — |
| 172 | C2×M16×C67 | — | 2 | 1 | no | — |
| 173 | C4⋊Q8×C67 | D4 | 1 | 1 | yes | characteristic |
| 174 | C4⋊Q8×C67 | C23 | 1 | 1 | yes | characteristic |
| 175 | #124×C67 | D4 | 1 | 1 | yes | characteristic |
| 176 | #124×C67 | C23 | 1 | 1 | yes | characteristic |
| 177 | #123×C67 | — | 2 | 1 | no | — |
| 178 | #123×C67 | — | 2 | 1 | no | — |
| 179 | C22⋊Q8×C67 | — | 2 | 1 | no | — |
| 180 | C22⋊Q8×C67 | — | 2 | 1 | no | — |
| 181 | #117×C67 | D4 | 1 | 1 | yes | characteristic |
| 182 | #101×C67 | — | 2 | 1 | no | — |
| 183 | #101×C67 | — | 2 | 1 | no | — |
| 184 | #101×C67 | C23 | 1 | 2 | yes | — |
| 185 | #101×C67 | C23 | 1 | 2 | yes | — |
| 186 | #11761629 | — | 4 | 2 | no | — |
| 187 | #11761629 | — | 4 | 2 | no | — |
| 188 | #11761629 | — | 4 | 2 | no | — |
| 189 | #11761629 | — | 4 | 2 | no | — |
| 190 | #11761628 | — | 2 | 2 | no | — |
| 191 | #11761628 | — | 2 | 2 | no | — |
| 192 | #11761628 | — | 2 | 2 | no | — |
| 193 | #11761628 | — | 2 | 2 | no | — |
| 194 | #11761628 | — | 2 | 2 | no | — |
| 195 | #11761628 | — | 2 | 2 | no | — |
| 196 | #11761628 | — | 4 | 1 | no | — |
| 197 | #11761628 | — | 4 | 1 | no | — |
| 198 | #11761628 | — | 4 | 1 | no | — |
| 199 | #11761628 | — | 4 | 1 | no | — |
| 200 | #11761628 | — | 4 | 1 | no | — |
| 201 | #11761628 | — | 4 | 1 | no | — |
| 202 | #11761628 | — | 4 | 1 | no | — |
| 203 | #11761628 | — | 4 | 1 | no | — |
| 204 | #11761627 | — | 8 | 1 | no | — |
| 205 | #11761627 | — | 8 | 1 | no | — |
| 206 | C2×Dic134 | — | 2 | 1 | no | — |
| 207 | C2×Dic134 | — | 2 | 1 | no | — |
| 208 | C2×Dic134 | — | 2 | 1 | no | — |
| 209 | C2×Dic134 | — | 2 | 1 | no | — |
| 210 | C2×Dic134 | — | 2 | 1 | no | — |
| 211 | C2×Dic134 | — | 2 | 1 | no | — |
| 212 | C2×Dic134 | — | 4 | 1 | no | — |
| 213 | C2×Dic134 | — | 4 | 1 | no | — |
| 214 | C2×Dic134 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×Dic134 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×Dic134 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | Q8×D67 | — | 4 | 2 | no | — |
| 218 | Q8×D67 | — | 4 | 2 | no | — |
| 219 | Q8×D67 | — | 4 | 2 | no | — |
| 220 | Q8×D67 | — | 4 | 2 | no | — |
| 221 | C2×D268 | — | 2 | 1 | no | — |
| 222 | C2×D268 | — | 2 | 1 | no | — |
| 223 | C2×D268 | — | 2 | 1 | no | — |
| 224 | C2×D268 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 226 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 227 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 228 | C2×C22⋊D67 | — | 4 | 1 | no | — |
| 229 | C22×Dic67 | — | 2 | 1 | no | — |
| 230 | C22×Dic67 | — | 2 | 1 | no | — |
| 231 | C22×Dic67 | — | 2 | 1 | no | — |
| 232 | C22×Dic67 | — | 2 | 1 | no | — |
| 233 | C2×C4×D67 | — | 2 | 1 | no | — |
| 234 | C2×C4×D67 | — | 2 | 1 | no | — |
| 235 | C2×C4×D67 | — | 2 | 1 | no | — |
| 236 | C2×C4×D67 | — | 4 | 1 | no | — |
| 237 | C2×C4×D67 | — | 4 | 1 | no | — |
| 238 | C2×C4×D67 | — | 4 | 1 | no | — |
| 239 | Dic268 | — | 4 | 2 | no | — |
| 240 | Dic268 | — | 4 | 2 | no | — |
| 241 | Dic268 | — | 4 | 2 | no | — |
| 242 | #11761618 | — | 4 | 2 | no | — |
| 243 | #11761617 | — | 4 | 2 | no | — |
| 244 | #11761617 | — | 4 | 2 | no | — |
| 245 | #11761617 | — | 4 | 2 | no | — |
| 246 | #11761617 | — | 4 | 2 | no | — |
| 247 | #11761616 | — | 4 | 2 | no | — |
| 248 | #11761615 | — | 4 | 2 | no | — |
| 249 | D536 | — | 4 | 2 | no | — |
| 250 | #11761613 | — | 4 | 2 | no | — |
| 251 | #11761612 | — | 2 | 2 | no | — |
| 252 | #11761612 | — | 4 | 1 | no | — |
| 253 | C2×C67⋊C8 | — | 4 | 1 | no | — |
| 254 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 255 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 256 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 257 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 258 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 259 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 260 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 261 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 262 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 263 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 264 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 265 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 266 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 267 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 268 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 269 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 270 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 271 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 272 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 273 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 274 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 275 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 276 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 277 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 278 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 279 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 280 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 281 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 282 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 283 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 284 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 285 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 286 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 287 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 288 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 289 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 290 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 291 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 292 | C4×Dic67 | — | 2 | 1 | no | — |
| 293 | C4×Dic67 | — | 2 | 1 | no | — |
| 294 | C4×Dic67 | — | 2 | 1 | no | — |
| 295 | C4×Dic67 | — | 2 | 1 | no | — |
| 296 | C4×Dic67 | — | 2 | 1 | no | — |
| 297 | C4×Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | C4×Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 299 | C4×Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 300 | C4×Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 301 | #41×C67 | — | 4 | 1 | no | — |
| 302 | #41×C67 | — | 4 | 1 | no | — |
| 303 | C2×Q8×C67 | — | 4 | 1 | no | — |
| 304 | C2×Q8×C67 | — | 4 | 1 | no | — |
| 305 | C2×Q8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 306 | C2×Q8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 307 | C2×Q8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 308 | C2×Q8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 309 | C2×Q8×C67 | C24 | 1 | 1 | yes | characteristic |
| 310 | C2×D4×C67 | — | 2 | 1 | no | — |
| 311 | C2×D4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 312 | C22×C4×C67 | — | 2 | 1 | no | — |
| 313 | C22×C4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 314 | C22×C4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 315 | C22×C4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | M16×C67 | — | 2 | 2 | no | — |
| 317 | M16×C67 | — | 2 | 2 | no | — |
| 318 | M16×C67 | — | 4 | 1 | no | — |
| 319 | M16×C67 | — | 4 | 1 | no | — |
| 320 | C2×C8×C67 | — | 4 | 1 | no | — |
| 321 | C2×C8×C67 | — | 4 | 1 | no | — |
| 322 | C4⋊C4×C67 | — | 2 | 1 | no | — |
| 323 | C4⋊C4×C67 | — | 2 | 1 | no | — |
| 324 | C4⋊C4×C67 | — | 2 | 1 | no | — |
| 325 | C4⋊C4×C67 | — | 2 | 1 | no | — |
| 326 | C4⋊C4×C67 | — | 2 | 1 | no | — |
| 327 | C22⋊C4×C67 | — | 2 | 1 | no | — |
| 328 | C22⋊C4×C67 | — | 2 | 1 | no | — |
| 329 | C22⋊C4×C67 | — | 2 | 1 | no | — |
| 330 | C22⋊C4×C67 | — | 2 | 1 | no | — |
| 331 | C22⋊C4×C67 | — | 2 | 1 | no | — |
| 332 | C42×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 333 | C42×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | C23×C67 | — | 2 | 1 | no | — |
| 335 | C23×C67 | #120 | 1 | 1 | yes | characteristic |
| 336 | C22×D67 | — | 2 | 1 | no | — |
| 337 | C22×D67 | — | 4 | 1 | no | — |
| 338 | Q8×C67 | — | 4 | 1 | no | — |
| 339 | Q8×C67 | — | 4 | 1 | no | — |
| 340 | Q8×C67 | — | 4 | 1 | no | — |
| 341 | Q8×C67 | — | 4 | 1 | no | — |
| 342 | Q8×C67 | — | 4 | 1 | no | — |
| 343 | D4×C67 | — | 4 | 1 | no | — |
| 344 | D4×C67 | — | 4 | 1 | no | — |
| 345 | D4×C67 | — | 4 | 1 | no | — |
| 346 | C2×C4×C67 | — | 2 | 1 | no | — |
| 347 | C2×C4×C67 | — | 2 | 1 | no | — |
| 348 | C2×C4×C67 | — | 2 | 1 | no | — |
| 349 | C2×C4×C67 | — | 2 | 1 | no | — |
| 350 | C2×C4×C67 | — | 2 | 1 | no | — |
| 351 | C2×C4×C67 | — | 2 | 1 | no | — |
| 352 | C2×C4×C67 | — | 2 | 1 | no | — |
| 353 | C2×C4×C67 | — | 2 | 1 | no | — |
| 354 | C2×C4×C67 | — | 2 | 1 | no | — |
| 355 | C2×C4×C67 | — | 8 | 1 | no | — |
| 356 | C2×C4×C67 | #120 | 1 | 1 | yes | characteristic |
| 357 | C2×C4×C67 | #120 | 1 | 1 | yes | characteristic |
| 358 | C2×C4×C67 | #120 | 1 | 1 | yes | characteristic |
| 359 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 360 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 361 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | C22⋊D67 | — | 4 | 2 | no | — |
| 363 | C22⋊D67 | — | 4 | 2 | no | — |
| 364 | C22⋊D67 | — | 4 | 1 | no | — |
| 365 | C22⋊D67 | — | 4 | 1 | no | — |
| 366 | C22⋊D67 | — | 4 | 2 | no | — |
| 367 | C22⋊D67 | — | 8 | 1 | no | — |
| 368 | C2×Dic67 | — | 2 | 1 | no | — |
| 369 | C2×Dic67 | — | 2 | 1 | no | — |
| 370 | C2×Dic67 | — | 2 | 1 | no | — |
| 371 | C2×Dic67 | — | 2 | 1 | no | — |
| 372 | C2×Dic67 | — | 2 | 1 | no | — |
| 373 | C2×Dic67 | — | 2 | 1 | no | — |
| 374 | C2×Dic67 | — | 2 | 1 | no | — |
| 375 | C2×Dic67 | — | 4 | 2 | no | — |
| 376 | C2×Dic67 | — | 4 | 2 | no | — |
| 377 | C2×Dic67 | — | 4 | 1 | no | — |
| 378 | C2×Dic67 | — | 4 | 1 | no | — |
| 379 | C2×Dic67 | — | 4 | 1 | no | — |
| 380 | C2×Dic67 | — | 8 | 1 | no | — |
| 381 | D268 | — | 2 | 2 | no | — |
| 382 | D268 | — | 2 | 2 | no | — |
| 383 | D268 | — | 2 | 2 | no | — |
| 384 | D268 | — | 4 | 1 | no | — |
| 385 | D268 | — | 4 | 1 | no | — |
| 386 | D268 | — | 4 | 1 | no | — |
| 387 | D268 | — | 4 | 1 | no | — |
| 388 | C4×D67 | — | 4 | 2 | no | — |
| 389 | C4×D67 | — | 4 | 2 | no | — |
| 390 | C4×D67 | — | 4 | 2 | no | — |
| 391 | C4×D67 | — | 4 | 2 | no | — |
| 392 | C4×D67 | — | 4 | 2 | no | — |
| 393 | C4×D67 | — | 4 | 2 | no | — |
| 394 | C4×D67 | — | 4 | 2 | no | — |
| 395 | C4×D67 | — | 8 | 1 | no | — |
| 396 | C4×D67 | — | 8 | 1 | no | — |
| 397 | Dic134 | — | 2 | 2 | no | — |
| 398 | Dic134 | — | 2 | 2 | no | — |
| 399 | Dic134 | — | 2 | 2 | no | — |
| 400 | Dic134 | — | 4 | 2 | no | — |
| 401 | Dic134 | — | 4 | 1 | no | — |
| 402 | Dic134 | — | 4 | 1 | no | — |
| 403 | Dic134 | — | 4 | 1 | no | — |
| 404 | Dic134 | — | 4 | 1 | no | — |
| 405 | Dic134 | — | 4 | 1 | no | — |
| 406 | Dic134 | — | 4 | 1 | no | — |
| 407 | Dic134 | — | 8 | 1 | no | — |
| 408 | Dic134 | — | 8 | 1 | no | — |
| 409 | C8×C67 | — | 4 | 2 | no | — |
| 410 | C8×C67 | — | 4 | 2 | no | — |
| 411 | C67⋊C8 | — | 4 | 2 | no | — |
| 412 | C22×C67 | — | 4 | 1 | no | — |
| 413 | C22×C67 | — | 4 | 1 | no | — |
| 414 | C22×C67 | — | 4 | 1 | no | — |
| 415 | C22×C67 | — | 4 | 1 | no | — |
| 416 | C22×C67 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 417 | C22×C67 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 418 | C22×C67 | C2×#120 | 1 | 1 | yes | characteristic |
| 419 | C2×D67 | — | 4 | 1 | no | — |
| 420 | C2×D67 | — | 4 | 1 | no | — |
| 421 | C2×D67 | — | 4 | 2 | no | — |
| 422 | C2×D67 | — | 4 | 1 | no | — |
| 423 | C2×D67 | — | 8 | 2 | no | — |
| 424 | C4×C67 | — | 2 | 1 | no | — |
| 425 | C4×C67 | — | 2 | 1 | no | — |
| 426 | C4×C67 | — | 2 | 1 | no | — |
| 427 | C4×C67 | — | 2 | 1 | no | — |
| 428 | C4×C67 | — | 2 | 1 | no | — |
| 429 | C4×C67 | — | 2 | 1 | no | — |
| 430 | C4×C67 | — | 4 | 1 | no | — |
| 431 | C4×C67 | — | 4 | 1 | no | — |
| 432 | C4×C67 | — | 4 | 1 | no | — |
| 433 | Dic67 | — | 2 | 2 | no | — |
| 434 | Dic67 | — | 4 | 1 | no | — |
| 435 | Dic67 | — | 4 | 1 | no | — |
| 436 | Dic67 | — | 4 | 1 | no | — |
| 437 | Dic67 | — | 4 | 2 | no | — |
| 438 | Dic67 | — | 4 | 1 | no | — |
| 439 | Dic67 | — | 4 | 1 | no | — |
| 440 | Dic67 | — | 4 | 1 | no | — |
| 441 | #33569 | — | 67 | 1 | no | maximal, Sylow |
| 442 | C2×C67 | — | 2 | 1 | no | — |
| 443 | C2×C67 | — | 2 | 1 | no | — |
| 444 | C2×C67 | — | 2 | 1 | no | — |
| 445 | C2×C67 | — | 8 | 1 | no | — |
| 446 | C2×C67 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 447 | D67 | — | 8 | 1 | no | — |
| 448 | D67 | — | 8 | 2 | no | — |
| 449 | #3544 | — | 67 | 1 | no | — |
| 450 | #3020 | — | 67 | 1 | no | — |
| 451 | #3020 | — | 67 | 1 | no | — |
| 452 | C2×#456 | — | 67 | 1 | no | — |
| 453 | #2205 | — | 67 | 2 | no | — |
| 454 | #2204 | — | 67 | 2 | no | — |
| 455 | #2203 | — | 67 | 2 | no | — |
| 456 | #2203 | — | 67 | 2 | no | — |
| 457 | #2133 | — | 67 | 1 | no | — |
| 458 | #2133 | D67 | 1 | 1 | yes | characteristic, complemented |
| 459 | C2×#356 | — | 67 | 1 | no | — |
| 460 | C67 | #33569 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 461 | C2×2−1+4 | — | 67 | 1 | no | — |
| 462 | #575 | — | 134 | 1 | no | — |
| 463 | #575 | — | 134 | 1 | no | — |
| 464 | C2×#137 | — | 134 | 1 | no | — |
| 465 | #563 | — | 67 | 1 | no | — |
| 466 | #563 | — | 67 | 1 | no | — |
| 467 | #563 | — | 134 | 1 | no | — |
| 468 | Q82 | — | 67 | 1 | no | — |
| 469 | #555 | — | 67 | 1 | no | — |
| 470 | #554 | — | 134 | 1 | no | — |
| 471 | #552 | — | 134 | 1 | no | — |
| 472 | #552 | — | 134 | 1 | no | — |
| 473 | #547 | — | 134 | 1 | no | — |
| 474 | #547 | — | 134 | 1 | no | — |
| 475 | #544 | — | 134 | 1 | no | — |
| 476 | #544 | — | 134 | 1 | no | — |
| 477 | #542 | — | 134 | 1 | no | — |
| 478 | #542 | — | 134 | 1 | no | — |
| 479 | #536 | — | 67 | 1 | no | — |
| 480 | #536 | — | 134 | 1 | no | — |
| 481 | #536 | C2×D67 | 1 | 1 | yes | characteristic |
| 482 | C2×C4⋊Q8 | — | 67 | 1 | no | — |
| 483 | #529 | — | 134 | 1 | no | — |
| 484 | #456 | — | 67 | 2 | no | — |
| 485 | #456 | — | 67 | 2 | no | — |
| 486 | #456 | — | 67 | 2 | no | — |
| 487 | #456 | — | 67 | 2 | no | — |
| 488 | #456 | — | 134 | 1 | no | — |
| 489 | #456 | — | 134 | 1 | no | — |
| 490 | #456 | — | 134 | 1 | no | — |
| 491 | #456 | — | 134 | 1 | no | — |
| 492 | #454 | — | 67 | 2 | no | — |
| 493 | #454 | — | 67 | 2 | no | — |
| 494 | #454 | — | 134 | 1 | no | — |
| 495 | #454 | — | 134 | 1 | no | — |
| 496 | #421 | — | 134 | 1 | no | — |
| 497 | #421 | — | 134 | 1 | no | — |
| 498 | C2×#104 | — | 134 | 1 | no | — |
| 499 | C2×#101 | — | 67 | 1 | no | — |
| 500 | C2×#101 | C2×D67 | 1 | 1 | yes | characteristic |
| 501 | C2×#101 | C2×D67 | 1 | 1 | yes | characteristic |
| 502 | #356 | — | 67 | 2 | no | — |
| 503 | #356 | — | 67 | 2 | no | — |
| 504 | #356 | — | 67 | 2 | no | — |
| 505 | #356 | C2×D67 | 1 | 2 | yes | complemented |
| 506 | #355 | — | 67 | 2 | no | — |
| 507 | #355 | C2×D67 | 1 | 2 | yes | complemented |
| 508 | 2−1+4 | — | 268 | 2 | no | — |
| 509 | 2−1+4 | — | 67 | 2 | no | — |
| 510 | 2−1+4 | — | 134 | 1 | no | — |
| 511 | 2−1+4 | — | 134 | 1 | no | — |
| 512 | 2−1+4 | — | 134 | 1 | no | — |
| 513 | C2×#41 | — | 268 | 1 | no | — |
| 514 | C2×#41 | — | 67 | 1 | no | — |
| 515 | C2×#41 | — | 134 | 1 | no | — |
| 516 | C2×#41 | — | 134 | 1 | no | — |
| 517 | C2×#41 | — | 134 | 1 | no | — |
| 518 | C2×#41 | — | 134 | 1 | no | — |
| 519 | C2×#41 | D268 | 1 | 1 | yes | characteristic |
| 520 | C22×Q8 | — | 268 | 1 | no | — |
| 521 | C22×Q8 | — | 67 | 1 | no | — |
| 522 | C22×Q8 | C22×D67 | 1 | 1 | yes | characteristic |
| 523 | #137 | — | 268 | 2 | no | — |
| 524 | #137 | — | 268 | 1 | no | — |
| 525 | #137 | — | 268 | 1 | no | — |
| 526 | #137 | — | 134 | 2 | no | — |
| 527 | #137 | — | 134 | 2 | no | — |
| 528 | #137 | — | 134 | 2 | no | — |
| 529 | #137 | — | 134 | 2 | no | — |
| 530 | AGL(1,ℤ/8) | — | 268 | 1 | no | — |
| 531 | AGL(1,ℤ/8) | — | 268 | 1 | no | — |
| 532 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 533 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 534 | #135 | — | 268 | 2 | no | — |
| 535 | #135 | — | 268 | 2 | no | — |
| 536 | C2×Q16 | — | 268 | 1 | no | — |
| 537 | C2×SD16 | — | 268 | 1 | no | — |
| 538 | C2×M16 | — | 2 | 1 | no | — |
| 539 | C2×M16 | — | 2 | 1 | no | — |
| 540 | C2×M16 | — | 134 | 1 | no | — |
| 541 | C4⋊Q8 | — | 67 | 1 | no | — |
| 542 | C4⋊Q8 | — | 67 | 1 | no | — |
| 543 | C4⋊Q8 | — | 67 | 1 | no | — |
| 544 | C4⋊Q8 | — | 67 | 1 | no | — |
| 545 | C4⋊Q8 | — | 67 | 1 | no | — |
| 546 | C4⋊Q8 | — | 67 | 1 | no | — |
| 547 | C4⋊Q8 | — | 134 | 1 | no | — |
| 548 | C4⋊Q8 | — | 134 | 1 | no | — |
| 549 | C4⋊Q8 | — | 134 | 1 | no | — |
| 550 | C4⋊Q8 | — | 134 | 1 | no | — |
| 551 | C4⋊Q8 | — | 134 | 1 | no | — |
| 552 | C4⋊Q8 | — | 134 | 1 | no | — |
| 553 | C4⋊Q8 | D268 | 1 | 1 | yes | characteristic |
| 554 | C4⋊Q8 | C22×D67 | 1 | 1 | yes | characteristic |
| 555 | #126 | — | 134 | 1 | no | — |
| 556 | #126 | — | 134 | 1 | no | — |
| 557 | #126 | — | 134 | 1 | no | — |
| 558 | #126 | — | 134 | 1 | no | — |
| 559 | #126 | — | 134 | 1 | no | — |
| 560 | #126 | — | 134 | 1 | no | — |
| 561 | #125 | — | 134 | 1 | no | — |
| 562 | #125 | — | 134 | 1 | no | — |
| 563 | #125 | — | 134 | 1 | no | — |
| 564 | #125 | — | 134 | 1 | no | — |
| 565 | #125 | — | 134 | 1 | no | — |
| 566 | #125 | — | 134 | 1 | no | — |
| 567 | #125 | — | 134 | 1 | no | — |
| 568 | #124 | — | 67 | 1 | no | — |
| 569 | #124 | — | 67 | 1 | no | — |
| 570 | #124 | — | 134 | 1 | no | — |
| 571 | #124 | — | 134 | 1 | no | — |
| 572 | #124 | — | 134 | 1 | no | — |
| 573 | #124 | D268 | 1 | 1 | yes | characteristic |
| 574 | #124 | C22×D67 | 1 | 1 | yes | characteristic |
| 575 | #123 | — | 2 | 1 | no | — |
| 576 | #123 | — | 2 | 1 | no | — |
| 577 | #123 | — | 134 | 1 | no | — |
| 578 | #123 | — | 134 | 1 | no | — |
| 579 | #123 | — | 134 | 1 | no | — |
| 580 | #123 | — | 134 | 1 | no | — |
| 581 | #123 | — | 134 | 1 | no | — |
| 582 | #123 | — | 134 | 1 | no | — |
| 583 | #123 | — | 134 | 1 | no | — |
| 584 | #123 | — | 134 | 1 | no | — |
| 585 | C22⋊Q8 | — | 2 | 1 | no | — |
| 586 | C22⋊Q8 | — | 2 | 1 | no | — |
| 587 | C22⋊Q8 | — | 134 | 1 | no | — |
| 588 | C22⋊Q8 | — | 134 | 1 | no | — |
| 589 | C22⋊Q8 | — | 134 | 1 | no | — |
| 590 | C22⋊Q8 | — | 134 | 1 | no | — |
| 591 | C22⋊Q8 | — | 134 | 1 | no | — |
| 592 | C22⋊Q8 | — | 134 | 1 | no | — |
| 593 | C22⋊Q8 | — | 134 | 1 | no | — |
| 594 | C22⋊Q8 | — | 134 | 1 | no | — |
| 595 | C22⋊Q8 | — | 134 | 1 | no | — |
| 596 | C22⋊Q8 | — | 134 | 1 | no | — |
| 597 | C22⋊Q8 | — | 134 | 1 | no | — |
| 598 | C22⋊Q8 | — | 134 | 1 | no | — |
| 599 | C22⋊Q8 | — | 134 | 1 | no | — |
| 600 | #121 | — | 134 | 1 | no | — |
| 601 | #121 | — | 134 | 1 | no | — |
| 602 | #121 | — | 134 | 1 | no | — |
| 603 | C4×Q8 | — | 134 | 1 | no | — |
| 604 | C4×Q8 | — | 134 | 1 | no | — |
| 605 | C4×Q8 | — | 134 | 1 | no | — |
| 606 | C4×D4 | — | 134 | 1 | no | — |
| 607 | C4×D4 | — | 134 | 1 | no | — |
| 608 | C4×D4 | — | 134 | 1 | no | — |
| 609 | C4×D4 | — | 134 | 1 | no | — |
| 610 | C4×D4 | — | 134 | 1 | no | — |
| 611 | #117 | — | 67 | 1 | no | — |
| 612 | #117 | — | 134 | 1 | no | — |
| 613 | #117 | — | 134 | 1 | no | — |
| 614 | #117 | — | 134 | 1 | no | — |
| 615 | #117 | — | 134 | 1 | no | — |
| 616 | #117 | — | 134 | 1 | no | — |
| 617 | #117 | D268 | 1 | 1 | yes | characteristic |
| 618 | C2×C4⋊C4 | — | 134 | 1 | no | — |
| 619 | C2×C4⋊C4 | — | 134 | 1 | no | — |
| 620 | C2×C4⋊C4 | — | 134 | 1 | no | — |
| 621 | C2×C4⋊C4 | — | 134 | 1 | no | — |
| 622 | C2×C42 | — | 67 | 1 | no | — |
| 623 | #104 | — | 134 | 2 | no | — |
| 624 | #104 | — | 134 | 2 | no | — |
| 625 | #104 | — | 134 | 2 | no | — |
| 626 | #104 | — | 134 | 2 | no | — |
| 627 | #104 | — | 134 | 2 | no | — |
| 628 | #104 | — | 134 | 2 | no | — |
| 629 | #101 | — | 2 | 1 | no | — |
| 630 | #101 | — | 2 | 1 | no | — |
| 631 | #101 | — | 67 | 2 | no | — |
| 632 | #101 | — | 134 | 1 | no | — |
| 633 | #101 | C22×D67 | 1 | 2 | yes | — |
| 634 | #101 | C22×D67 | 1 | 2 | yes | — |
| 635 | #41 | — | 4 | 1 | no | — |
| 636 | #41 | — | 4 | 1 | no | — |
| 637 | #41 | — | 268 | 1 | no | — |
| 638 | #41 | — | 268 | 1 | no | — |
| 639 | #41 | — | 268 | 1 | no | — |
| 640 | #41 | — | 268 | 1 | no | — |
| 641 | #41 | — | 268 | 1 | no | — |
| 642 | #41 | — | 268 | 2 | no | — |
| 643 | #41 | — | 268 | 2 | no | — |
| 644 | #41 | — | 268 | 2 | no | — |
| 645 | #41 | — | 268 | 2 | no | — |
| 646 | #41 | — | 268 | 1 | no | — |
| 647 | #41 | — | 268 | 1 | no | — |
| 648 | #41 | — | 268 | 1 | no | — |
| 649 | #41 | — | 536 | 1 | no | — |
| 650 | #41 | — | 536 | 1 | no | — |
| 651 | #41 | — | 134 | 2 | no | — |
| 652 | #41 | — | 134 | 2 | no | — |
| 653 | #41 | — | 134 | 2 | no | — |
| 654 | #41 | — | 134 | 2 | no | — |
| 655 | #41 | — | 134 | 2 | no | — |
| 656 | #41 | — | 134 | 2 | no | — |
| 657 | C2×Q8 | — | 4 | 1 | no | — |
| 658 | C2×Q8 | — | 4 | 1 | no | — |
| 659 | C2×Q8 | — | 268 | 1 | no | — |
| 660 | C2×Q8 | — | 268 | 1 | no | — |
| 661 | C2×Q8 | — | 268 | 2 | no | — |
| 662 | C2×Q8 | — | 268 | 2 | no | — |
| 663 | C2×Q8 | — | 268 | 2 | no | — |
| 664 | C2×Q8 | — | 268 | 2 | no | — |
| 665 | C2×Q8 | — | 67 | 1 | no | — |
| 666 | C2×Q8 | — | 67 | 1 | no | — |
| 667 | C2×Q8 | — | 67 | 1 | no | — |
| 668 | C2×Q8 | — | 134 | 1 | no | — |
| 669 | C2×Q8 | — | 134 | 1 | no | — |
| 670 | C2×Q8 | — | 134 | 1 | no | — |
| 671 | C2×Q8 | — | 134 | 1 | no | — |
| 672 | C2×Q8 | — | 134 | 1 | no | — |
| 673 | C2×Q8 | — | 134 | 1 | no | — |
| 674 | C2×Q8 | D4×D67 | 1 | 1 | yes | characteristic |
| 675 | C2×Q8 | D4×D67 | 1 | 1 | yes | characteristic |
| 676 | C2×Q8 | C2×D268 | 1 | 1 | yes | characteristic |
| 677 | C2×Q8 | C2×D268 | 1 | 1 | yes | characteristic |
| 678 | C2×Q8 | C23×D67 | 1 | 1 | yes | characteristic |
| 679 | C2×D4 | — | 2 | 1 | no | — |
| 680 | C2×D4 | — | 268 | 1 | no | — |
| 681 | C2×D4 | — | 67 | 1 | no | — |
| 682 | C2×D4 | — | 134 | 1 | no | — |
| 683 | C2×D4 | — | 134 | 1 | no | — |
| 684 | C2×D4 | — | 134 | 1 | no | — |
| 685 | C2×D4 | — | 134 | 1 | no | — |
| 686 | C2×D4 | — | 134 | 1 | no | — |
| 687 | C2×D4 | — | 134 | 1 | no | — |
| 688 | C2×D4 | C2×D268 | 1 | 1 | yes | characteristic |
| 689 | C22×C4 | — | 2 | 1 | no | — |
| 690 | C22×C4 | — | 268 | 1 | no | — |
| 691 | C22×C4 | — | 268 | 1 | no | — |
| 692 | C22×C4 | — | 268 | 1 | no | — |
| 693 | C22×C4 | — | 134 | 1 | no | — |
| 694 | C22×C4 | — | 134 | 1 | no | — |
| 695 | C22×C4 | — | 134 | 1 | no | — |
| 696 | C22×C4 | — | 134 | 1 | no | — |
| 697 | C22×C4 | — | 134 | 1 | no | — |
| 698 | C22×C4 | — | 134 | 1 | no | — |
| 699 | C22×C4 | — | 134 | 1 | no | — |
| 700 | C22×C4 | D4×D67 | 1 | 1 | yes | characteristic |
| 701 | C22×C4 | D4×D67 | 1 | 1 | yes | characteristic |
| 702 | C22×C4 | C2×D268 | 1 | 1 | yes | characteristic |
| 703 | Q16 | — | 268 | 2 | no | — |
| 704 | Q16 | — | 268 | 2 | no | — |
| 705 | Q16 | — | 268 | 2 | no | — |
| 706 | Q16 | — | 268 | 2 | no | — |
| 707 | SD16 | — | 268 | 2 | no | — |
| 708 | SD16 | — | 268 | 2 | no | — |
| 709 | SD16 | — | 268 | 2 | no | — |
| 710 | SD16 | — | 268 | 2 | no | — |
| 711 | SD16 | — | 268 | 2 | no | — |
| 712 | SD16 | — | 268 | 2 | no | — |
| 713 | D8 | — | 268 | 2 | no | — |
| 714 | D8 | — | 268 | 2 | no | — |
| 715 | M16 | — | 2 | 2 | no | — |
| 716 | M16 | — | 2 | 2 | no | — |
| 717 | M16 | — | 4 | 1 | no | — |
| 718 | M16 | — | 4 | 1 | no | — |
| 719 | M16 | — | 268 | 1 | no | — |
| 720 | M16 | — | 134 | 2 | no | — |
| 721 | C2×C8 | — | 4 | 1 | no | — |
| 722 | C2×C8 | — | 4 | 1 | no | — |
| 723 | C2×C8 | — | 268 | 1 | no | — |
| 724 | C4⋊C4 | — | 2 | 1 | no | — |
| 725 | C4⋊C4 | — | 2 | 1 | no | — |
| 726 | C4⋊C4 | — | 2 | 1 | no | — |
| 727 | C4⋊C4 | — | 2 | 1 | no | — |
| 728 | C4⋊C4 | — | 2 | 1 | no | — |
| 729 | C4⋊C4 | — | 134 | 1 | no | — |
| 730 | C4⋊C4 | — | 134 | 1 | no | — |
| 731 | C4⋊C4 | — | 134 | 1 | no | — |
| 732 | C4⋊C4 | — | 134 | 1 | no | — |
| 733 | C4⋊C4 | — | 134 | 1 | no | — |
| 734 | C4⋊C4 | — | 134 | 1 | no | — |
| 735 | C4⋊C4 | — | 134 | 1 | no | — |
| 736 | C4⋊C4 | — | 134 | 1 | no | — |
| 737 | C4⋊C4 | — | 134 | 1 | no | — |
| 738 | C4⋊C4 | — | 134 | 1 | no | — |
| 739 | C4⋊C4 | — | 134 | 1 | no | — |
| 740 | C4⋊C4 | — | 134 | 1 | no | — |
| 741 | C4⋊C4 | — | 134 | 1 | no | — |
| 742 | C4⋊C4 | — | 134 | 1 | no | — |
| 743 | C4⋊C4 | — | 134 | 1 | no | — |
| 744 | C4⋊C4 | — | 134 | 1 | no | — |
| 745 | C4⋊C4 | — | 134 | 1 | no | — |
| 746 | C4⋊C4 | — | 134 | 1 | no | — |
| 747 | C4⋊C4 | — | 134 | 1 | no | — |
| 748 | C4⋊C4 | — | 134 | 1 | no | — |
| 749 | C4⋊C4 | — | 134 | 1 | no | — |
| 750 | C4⋊C4 | — | 134 | 1 | no | — |
| 751 | C4⋊C4 | — | 134 | 1 | no | — |
| 752 | C4⋊C4 | — | 134 | 1 | no | — |
| 753 | C4⋊C4 | — | 134 | 1 | no | — |
| 754 | C22⋊C4 | — | 2 | 1 | no | — |
| 755 | C22⋊C4 | — | 2 | 1 | no | — |
| 756 | C22⋊C4 | — | 2 | 1 | no | — |
| 757 | C22⋊C4 | — | 2 | 1 | no | — |
| 758 | C22⋊C4 | — | 2 | 1 | no | — |
| 759 | C22⋊C4 | — | 134 | 1 | no | — |
| 760 | C22⋊C4 | — | 134 | 1 | no | — |
| 761 | C22⋊C4 | — | 134 | 1 | no | — |
| 762 | C22⋊C4 | — | 134 | 1 | no | — |
| 763 | C22⋊C4 | — | 134 | 1 | no | — |
| 764 | C22⋊C4 | — | 134 | 1 | no | — |
| 765 | C22⋊C4 | — | 134 | 1 | no | — |
| 766 | C22⋊C4 | — | 134 | 1 | no | — |
| 767 | C22⋊C4 | — | 134 | 1 | no | — |
| 768 | C22⋊C4 | — | 134 | 1 | no | — |
| 769 | C22⋊C4 | — | 134 | 1 | no | — |
| 770 | C22⋊C4 | — | 134 | 1 | no | — |
| 771 | C22⋊C4 | — | 134 | 1 | no | — |
| 772 | C42 | — | 67 | 1 | no | — |
| 773 | C42 | — | 67 | 1 | no | — |
| 774 | C42 | — | 67 | 1 | no | — |
| 775 | C42 | — | 67 | 1 | no | — |
| 776 | C42 | — | 134 | 1 | no | — |
| 777 | C42 | — | 134 | 1 | no | — |
| 778 | C42 | — | 134 | 1 | no | — |
| 779 | C42 | — | 134 | 1 | no | — |
| 780 | C42 | — | 134 | 1 | no | — |
| 781 | C42 | C2×D268 | 1 | 1 | yes | characteristic |
| 782 | C42 | C2×D268 | 1 | 1 | yes | characteristic |
| 783 | C23 | — | 2 | 1 | no | — |
| 784 | C23 | — | 268 | 1 | no | — |
| 785 | C23 | — | 134 | 1 | no | — |
| 786 | C23 | #14524013 | 1 | 1 | yes | characteristic |
| 787 | Q8 | — | 4 | 1 | no | — |
| 788 | Q8 | — | 4 | 1 | no | — |
| 789 | Q8 | — | 4 | 1 | no | — |
| 790 | Q8 | — | 4 | 1 | no | — |
| 791 | Q8 | — | 4 | 1 | no | — |
| 792 | Q8 | — | 268 | 1 | no | — |
| 793 | Q8 | — | 268 | 1 | no | — |
| 794 | Q8 | — | 268 | 1 | no | — |
| 795 | Q8 | — | 268 | 1 | no | — |
| 796 | Q8 | — | 268 | 1 | no | — |
| 797 | Q8 | — | 268 | 1 | no | — |
| 798 | Q8 | — | 268 | 2 | no | — |
| 799 | Q8 | — | 536 | 1 | no | — |
| 800 | Q8 | — | 536 | 1 | no | — |
| 801 | Q8 | — | 134 | 2 | no | — |
| 802 | Q8 | — | 134 | 2 | no | — |
| 803 | Q8 | — | 134 | 2 | no | — |
| 804 | D4 | — | 4 | 1 | no | — |
| 805 | D4 | — | 4 | 1 | no | — |
| 806 | D4 | — | 4 | 1 | no | — |
| 807 | D4 | — | 268 | 1 | no | — |
| 808 | D4 | — | 268 | 1 | no | — |
| 809 | D4 | — | 268 | 1 | no | — |
| 810 | D4 | — | 268 | 1 | no | — |
| 811 | D4 | — | 268 | 2 | no | — |
| 812 | D4 | — | 268 | 1 | no | — |
| 813 | D4 | — | 268 | 1 | no | — |
| 814 | D4 | — | 268 | 2 | no | — |
| 815 | D4 | — | 268 | 2 | no | — |
| 816 | D4 | — | 536 | 1 | no | — |
| 817 | D4 | — | 134 | 2 | no | — |
| 818 | D4 | — | 134 | 2 | no | — |
| 819 | D4 | — | 134 | 2 | no | — |
| 820 | C2×C4 | — | 2 | 1 | no | — |
| 821 | C2×C4 | — | 2 | 1 | no | — |
| 822 | C2×C4 | — | 2 | 1 | no | — |
| 823 | C2×C4 | — | 2 | 1 | no | — |
| 824 | C2×C4 | — | 2 | 1 | no | — |
| 825 | C2×C4 | — | 2 | 1 | no | — |
| 826 | C2×C4 | — | 2 | 1 | no | — |
| 827 | C2×C4 | — | 2 | 1 | no | — |
| 828 | C2×C4 | — | 2 | 1 | no | — |
| 829 | C2×C4 | — | 8 | 1 | no | — |
| 830 | C2×C4 | — | 268 | 2 | no | — |
| 831 | C2×C4 | — | 268 | 2 | no | — |
| 832 | C2×C4 | — | 268 | 2 | no | — |
| 833 | C2×C4 | — | 268 | 2 | no | — |
| 834 | C2×C4 | — | 268 | 2 | no | — |
| 835 | C2×C4 | — | 268 | 2 | no | — |
| 836 | C2×C4 | — | 268 | 2 | no | — |
| 837 | C2×C4 | — | 268 | 1 | no | — |
| 838 | C2×C4 | — | 268 | 1 | no | — |
| 839 | C2×C4 | — | 268 | 1 | no | — |
| 840 | C2×C4 | — | 268 | 2 | no | — |
| 841 | C2×C4 | — | 268 | 2 | no | — |
| 842 | C2×C4 | — | 536 | 1 | no | — |
| 843 | C2×C4 | — | 536 | 1 | no | — |
| 844 | C2×C4 | — | 536 | 1 | no | — |
| 845 | C2×C4 | — | 134 | 1 | no | — |
| 846 | C2×C4 | — | 134 | 1 | no | — |
| 847 | C2×C4 | — | 134 | 1 | no | — |
| 848 | C2×C4 | — | 134 | 1 | no | — |
| 849 | C2×C4 | — | 134 | 1 | no | — |
| 850 | C2×C4 | — | 134 | 1 | no | — |
| 851 | C2×C4 | — | 134 | 1 | no | — |
| 852 | C2×C4 | #14524013 | 1 | 1 | yes | characteristic |
| 853 | C2×C4 | #14524013 | 1 | 1 | yes | characteristic |
| 854 | C2×C4 | #14524013 | 1 | 1 | yes | characteristic |
| 855 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 856 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 857 | C2×C4 | C22×D268 | 1 | 1 | yes | characteristic |
| 858 | C8 | — | 4 | 2 | no | — |
| 859 | C8 | — | 4 | 2 | no | — |
| 860 | C8 | — | 268 | 2 | no | — |
| 861 | C22 | — | 4 | 1 | no | — |
| 862 | C22 | — | 4 | 1 | no | — |
| 863 | C22 | — | 4 | 1 | no | — |
| 864 | C22 | — | 4 | 1 | no | — |
| 865 | C22 | — | 268 | 1 | no | — |
| 866 | C22 | — | 268 | 1 | no | — |
| 867 | C22 | — | 268 | 2 | no | — |
| 868 | C22 | — | 268 | 1 | no | — |
| 869 | C22 | — | 536 | 2 | no | — |
| 870 | C22 | #16863584 | 1 | 1 | yes | characteristic |
| 871 | C22 | #16863584 | 1 | 1 | yes | characteristic |
| 872 | C22 | C2×#14524013 | 1 | 1 | yes | characteristic |
| 873 | C4 | — | 2 | 1 | no | — |
| 874 | C4 | — | 2 | 1 | no | — |
| 875 | C4 | — | 2 | 1 | no | — |
| 876 | C4 | — | 2 | 1 | no | — |
| 877 | C4 | — | 2 | 1 | no | — |
| 878 | C4 | — | 2 | 1 | no | — |
| 879 | C4 | — | 4 | 1 | no | — |
| 880 | C4 | — | 4 | 1 | no | — |
| 881 | C4 | — | 4 | 1 | no | — |
| 882 | C4 | — | 268 | 1 | no | — |
| 883 | C4 | — | 268 | 1 | no | — |
| 884 | C4 | — | 268 | 1 | no | — |
| 885 | C4 | — | 268 | 2 | no | — |
| 886 | C4 | — | 268 | 1 | no | — |
| 887 | C4 | — | 268 | 1 | no | — |
| 888 | C4 | — | 268 | 1 | no | — |
| 889 | C4 | — | 134 | 2 | no | — |
| 890 | C2 | — | 2 | 1 | no | — |
| 891 | C2 | — | 2 | 1 | no | — |
| 892 | C2 | — | 2 | 1 | no | — |
| 893 | C2 | — | 8 | 1 | no | — |
| 894 | C2 | — | 536 | 1 | no | — |
| 895 | C2 | — | 536 | 2 | no | — |
| 896 | C2 | C2×#16863584 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #22574547 | C2 | semidirect |
| 2. #22569576 | C2 | semidirect |
| 3. #22569572 | C2 | semidirect |
| 4. C2×#16863581 | C2 | semidirect |
| 5. #22562240 | C2 | semidirect |
| 6. #22562236 | C2 | semidirect |
| 7. #22562232 | C2 | semidirect |
| 8. #22562231 | C2 | semidirect |
| 9. #22561896 | C2 | semidirect |
| 10. C2×#16863194 | C2 | semidirect |
| 11. C67×#2133 | C2 | semidirect |
| 17. #16864146 | C22 | semidirect |
| 18. #16864145 | C22 | semidirect |
| 19. #16864126 | C22 | semidirect |
| 20. #16864108 | C22 | semidirect |
| 50. #16863194 | C22 | semidirect |
| 51. #16863194 | C22 | semidirect |
| 52. #16863194 | C22 | semidirect |
| 53. #16863192 | C22 | semidirect |
| 57. #356×C67 | C22 | semidirect |
| 58. #355×C67 | C22 | semidirect |
| 458. #2133 | D67 | semidirect |
| 460. C67 | #33569 | semidirect |
| 505. #356 | C2×D67 | semidirect |
| 507. #355 | C2×D67 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22574547 | 2 |
| #22569576 | 2 |
| #22569572 | 2 |
| C2×#16863581 | 2 |
| #22562240 | 2 |
| #22562236 | 2 |
| #22562232 | 2 |
| #22562231 | 2 |
| #22561896 | 2 |
| C2×#16863194 | 2 |
| C67×#2133 | 2 |
| #33569 | 67 |