Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1610 conjugacy classes of subgroups.
The subgroup lattice has 1002 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #19149383 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #19149378 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #19143962 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #19143961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #19143891 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #19143889 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #19135715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #19135700 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #19135658 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #19135657 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #19135069 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #19134957 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #19134956 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #19134557 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C43×#1902 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #14583735 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#13063373 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#13063372 | C22 | 1 | 1 | yes | characteristic |
| 19 | #14583716 | — | 2 | 2 | no | — |
| 20 | #14583716 | — | 2 | 2 | no | — |
| 21 | #14583715 | — | 2 | 2 | no | — |
| 22 | #14583712 | — | 2 | 2 | no | — |
| 23 | #14583711 | — | 2 | 2 | no | — |
| 24 | #14583711 | — | 2 | 2 | no | — |
| 25 | #14583708 | — | 2 | 2 | no | — |
| 26 | #14583705 | — | 2 | 2 | no | — |
| 27 | #14583699 | — | 2 | 2 | no | — |
| 28 | #14583699 | C22 | 1 | 1 | yes | characteristic |
| 29 | #14583699 | C22 | 1 | 1 | yes | characteristic |
| 30 | #14583699 | C22 | 1 | 1 | yes | characteristic |
| 31 | #14583699 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #14583698 | — | 2 | 2 | no | — |
| 33 | #14583697 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#13063358 | — | 2 | 2 | no | — |
| 35 | C2×#13063358 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#13063358 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#13063356 | C22 | 1 | 1 | yes | characteristic |
| 38 | #137×D43 | — | 2 | 2 | no | — |
| 39 | C22×#10621885 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #14583665 | C22 | 1 | 1 | yes | characteristic |
| 41 | #14583475 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #14583473 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #14583084 | — | 2 | 2 | no | — |
| 44 | #14583083 | — | 2 | 2 | no | — |
| 45 | #14583074 | — | 2 | 2 | no | — |
| 46 | #14583073 | — | 2 | 2 | no | — |
| 47 | #14583064 | — | 2 | 2 | no | — |
| 48 | #14583058 | — | 2 | 2 | no | — |
| 49 | #14583056 | — | 2 | 2 | no | — |
| 50 | #14583053 | — | 2 | 2 | no | — |
| 51 | #14582917 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #14582915 | C22 | 1 | 1 | yes | characteristic |
| 53 | #14582915 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #14582909 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #14582895 | C22 | 1 | 1 | yes | characteristic |
| 56 | #14582893 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#13063243 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #14582872 | C22 | 1 | 1 | yes | characteristic |
| 59 | #14582867 | C22 | 1 | 1 | yes | characteristic |
| 60 | #14582867 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #14582867 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #14582670 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #14582663 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×#137×C43 | C22 | 1 | 1 | yes | characteristic |
| 65 | C43×#568 | C22 | 1 | 1 | yes | characteristic |
| 66 | C43×#421 | C22 | 1 | 1 | yes | characteristic |
| 67 | C43×#419 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×#101×C43 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | C43×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | C43×#338 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #13063373 | — | 2 | 2 | no | — |
| 72 | #13063373 | — | 2 | 1 | no | — |
| 73 | #13063373 | — | 2 | 2 | no | — |
| 74 | #13063373 | — | 2 | 2 | no | — |
| 75 | #13063373 | — | 4 | 1 | no | — |
| 76 | #13063372 | — | 2 | 2 | no | — |
| 77 | #13063372 | — | 2 | 2 | no | — |
| 78 | #13063372 | — | 2 | 1 | no | — |
| 79 | #13063372 | — | 2 | 2 | no | — |
| 80 | #13063372 | — | 4 | 1 | no | — |
| 81 | #13063372 | D4 | 1 | 2 | yes | — |
| 82 | #13063371 | — | 2 | 1 | no | — |
| 83 | #13063371 | D4 | 1 | 2 | yes | — |
| 84 | #13063370 | — | 2 | 1 | no | — |
| 85 | #13063370 | — | 4 | 1 | no | — |
| 86 | C2×#10621902 | — | 2 | 1 | no | — |
| 87 | C2×#10621902 | — | 2 | 1 | no | — |
| 88 | C2×#10621898 | — | 2 | 2 | no | — |
| 89 | C2×#10621898 | — | 2 | 1 | no | — |
| 90 | C2×#10621898 | — | 4 | 1 | no | — |
| 91 | C2×#10621898 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×#10621898 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×#10621898 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×#10621898 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#10621900 | — | 2 | 1 | no | — |
| 96 | C2×#10621900 | — | 4 | 1 | no | — |
| 97 | #41×D43 | — | 2 | 2 | no | — |
| 98 | #41×D43 | — | 4 | 1 | no | — |
| 99 | C22×Dic86 | — | 2 | 1 | no | — |
| 100 | C22×Dic86 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×Q8×D43 | — | 2 | 1 | no | — |
| 102 | C2×Q8×D43 | — | 2 | 1 | no | — |
| 103 | C2×Q8×D43 | — | 2 | 1 | no | — |
| 104 | #13063358 | — | 2 | 4 | no | — |
| 105 | #13063358 | — | 2 | 4 | no | — |
| 106 | #13063358 | — | 2 | 4 | no | — |
| 107 | #13063358 | — | 2 | 2 | no | — |
| 108 | #13063358 | — | 2 | 2 | no | — |
| 109 | #13063358 | — | 2 | 1 | no | — |
| 110 | #13063358 | — | 2 | 1 | no | — |
| 111 | #13063358 | — | 2 | 2 | no | — |
| 112 | #13063358 | — | 2 | 1 | no | — |
| 113 | #13063358 | — | 2 | 1 | no | — |
| 114 | #13063358 | — | 2 | 1 | no | — |
| 115 | #13063358 | — | 2 | 2 | no | — |
| 116 | #13063358 | — | 2 | 1 | no | — |
| 117 | #13063358 | — | 2 | 1 | no | — |
| 118 | #13063358 | D4 | 1 | 2 | yes | — |
| 119 | #13063357 | — | 2 | 4 | no | — |
| 120 | #13063357 | — | 2 | 4 | no | — |
| 121 | #13063356 | — | 2 | 2 | no | — |
| 122 | #13063356 | — | 2 | 1 | no | — |
| 123 | #13063356 | — | 2 | 2 | no | — |
| 124 | #13063355 | D4 | 1 | 2 | yes | — |
| 125 | #13063354 | — | 2 | 4 | no | — |
| 126 | #13063353 | — | 2 | 4 | no | — |
| 127 | #13063353 | — | 2 | 1 | no | — |
| 128 | #13063353 | — | 2 | 1 | no | — |
| 129 | #13063353 | — | 2 | 1 | no | — |
| 130 | #13063353 | — | 2 | 1 | no | — |
| 131 | #13063353 | — | 2 | 1 | no | — |
| 132 | #13063353 | — | 2 | 1 | no | — |
| 133 | #13063353 | — | 2 | 1 | no | — |
| 134 | #13063353 | D4 | 1 | 2 | yes | — |
| 135 | #13063352 | — | 2 | 4 | no | — |
| 136 | #13063351 | — | 2 | 1 | no | — |
| 137 | #13063350 | D4 | 1 | 2 | yes | — |
| 138 | #13063348 | — | 2 | 4 | no | — |
| 139 | #13063347 | — | 2 | 4 | no | — |
| 140 | #13063347 | — | 2 | 4 | no | — |
| 141 | #13063347 | — | 2 | 2 | no | — |
| 142 | #13063347 | — | 2 | 2 | no | — |
| 143 | #13063347 | — | 2 | 2 | no | — |
| 144 | #13063347 | — | 4 | 1 | no | — |
| 145 | #13063346 | — | 2 | 4 | no | — |
| 146 | #13063345 | — | 2 | 2 | no | — |
| 147 | C2×Dic172 | — | 2 | 4 | no | — |
| 148 | C2×Dic172 | — | 2 | 1 | no | — |
| 149 | C2×Dic172 | D4 | 1 | 2 | yes | — |
| 150 | C2×#10621885 | — | 2 | 1 | no | — |
| 151 | C2×#10621885 | — | 2 | 2 | no | — |
| 152 | C2×#10621885 | — | 2 | 2 | no | — |
| 153 | C2×#10621885 | — | 4 | 1 | no | — |
| 154 | Q16×D43 | — | 2 | 4 | no | — |
| 155 | C2×#10621873 | — | 2 | 4 | no | — |
| 156 | C2×#10621873 | — | 2 | 1 | no | — |
| 157 | C2×#10621873 | D4 | 1 | 2 | yes | — |
| 158 | C2×#10621884 | — | 2 | 1 | no | — |
| 159 | SD16×D43 | — | 2 | 4 | no | — |
| 160 | #13063333 | — | 2 | 2 | no | — |
| 161 | #13063331 | — | 2 | 2 | no | — |
| 162 | C2×#10621877 | C23 | 1 | 1 | yes | characteristic |
| 163 | M16×D43 | — | 2 | 2 | no | — |
| 164 | C22×C43⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 165 | #13063325 | — | 2 | 1 | no | — |
| 166 | #13063323 | — | 2 | 1 | no | — |
| 167 | #13063314 | — | 2 | 1 | no | — |
| 168 | #13063313 | — | 2 | 1 | no | — |
| 169 | #13063309 | — | 4 | 1 | no | — |
| 170 | #13063308 | — | 4 | 1 | no | — |
| 171 | #13063305 | — | 2 | 2 | no | — |
| 172 | #13063301 | — | 2 | 2 | no | — |
| 173 | #13063284 | C23 | 1 | 1 | yes | characteristic |
| 174 | #13063253 | — | 2 | 2 | no | — |
| 175 | #13063251 | — | 2 | 2 | no | — |
| 176 | #13063251 | — | 2 | 2 | no | — |
| 177 | #13063250 | — | 2 | 2 | no | — |
| 178 | #13063249 | — | 2 | 1 | no | — |
| 179 | #13063248 | — | 2 | 1 | no | — |
| 180 | #13063246 | — | 2 | 1 | no | — |
| 181 | #13063245 | — | 2 | 1 | no | — |
| 182 | #13063243 | — | 2 | 2 | no | — |
| 183 | #13063239 | — | 4 | 1 | no | — |
| 184 | (C2×D43)⋊C8 | — | 2 | 2 | no | — |
| 185 | (C2×D43)⋊C8 | — | 2 | 2 | no | — |
| 186 | (C2×D43)⋊C8 | — | 4 | 1 | no | — |
| 187 | C2×#41×C43 | C23 | 1 | 1 | yes | characteristic |
| 188 | C22×Q8×C43 | C23 | 1 | 1 | yes | characteristic |
| 189 | #137×C43 | — | 2 | 2 | no | — |
| 190 | #137×C43 | — | 2 | 2 | no | — |
| 191 | C2×Q16×C43 | D4 | 1 | 2 | yes | — |
| 192 | C2×SD16×C43 | D4 | 1 | 2 | yes | — |
| 193 | #131×C43 | — | 2 | 2 | no | — |
| 194 | #131×C43 | — | 2 | 2 | no | — |
| 195 | C2×M16×C43 | — | 2 | 2 | no | — |
| 196 | C2×M16×C43 | C23 | 1 | 1 | yes | characteristic |
| 197 | C2×M16×C43 | C23 | 1 | 1 | yes | characteristic |
| 198 | C2×M16×C43 | C23 | 1 | 1 | yes | characteristic |
| 199 | C2×M16×C43 | C23 | 1 | 1 | yes | characteristic |
| 200 | #117×C43 | C23 | 1 | 1 | yes | characteristic |
| 201 | #104×C43 | — | 2 | 2 | no | — |
| 202 | #103×C43 | — | 2 | 2 | no | — |
| 203 | #101×C43 | — | 2 | 2 | no | — |
| 204 | #41×C43 | — | 2 | 1 | no | — |
| 205 | #41×C43 | — | 2 | 1 | no | — |
| 206 | #41×C43 | C2×D4 | 1 | 2 | yes | — |
| 207 | #41×C43 | C2×D4 | 1 | 2 | yes | — |
| 208 | C2×Q8×C43 | — | 2 | 1 | no | — |
| 209 | C2×Q8×C43 | — | 2 | 1 | no | — |
| 210 | C2×Q8×C43 | — | 2 | 1 | no | — |
| 211 | C2×Q8×C43 | — | 2 | 1 | no | — |
| 212 | C2×Q8×C43 | — | 2 | 1 | no | — |
| 213 | C2×Q8×C43 | C2×D4 | 1 | 2 | yes | — |
| 214 | C2×Q8×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×D4×C43 | — | 2 | 1 | no | — |
| 216 | C2×D4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C22×C4×C43 | — | 2 | 1 | no | — |
| 218 | C22×C4×C43 | — | 2 | 1 | no | — |
| 219 | C22×C4×C43 | C24 | 1 | 1 | yes | characteristic |
| 220 | C2×C22⋊D43 | — | 2 | 1 | no | — |
| 221 | C2×C22⋊D43 | — | 2 | 1 | no | — |
| 222 | C2×C22⋊D43 | — | 2 | 1 | no | — |
| 223 | C2×C22⋊D43 | — | 2 | 1 | no | — |
| 224 | C2×C22⋊D43 | — | 4 | 1 | no | — |
| 225 | C2×C22⋊D43 | — | 4 | 2 | no | — |
| 226 | C22×Dic43 | — | 2 | 1 | no | — |
| 227 | C22×Dic43 | — | 4 | 1 | no | — |
| 228 | #10621902 | — | 2 | 4 | no | — |
| 229 | #10621902 | — | 2 | 2 | no | — |
| 230 | #10621902 | — | 4 | 2 | no | — |
| 231 | #10621902 | — | 4 | 1 | no | — |
| 232 | #10621902 | — | 4 | 2 | no | — |
| 233 | #10621902 | — | 4 | 2 | no | — |
| 234 | Q8×D43 | — | 2 | 4 | no | — |
| 235 | Q8×D43 | — | 2 | 2 | no | — |
| 236 | Q8×D43 | — | 4 | 2 | no | — |
| 237 | Q8×D43 | — | 4 | 2 | no | — |
| 238 | Q8×D43 | — | 4 | 2 | no | — |
| 239 | Q8×D43 | — | 4 | 1 | no | — |
| 240 | Q8×D43 | — | 4 | 2 | no | — |
| 241 | Q8×D43 | — | 4 | 2 | no | — |
| 242 | #10621900 | — | 2 | 2 | no | — |
| 243 | #10621900 | — | 4 | 1 | no | — |
| 244 | #10621900 | — | 4 | 2 | no | — |
| 245 | #10621900 | — | 4 | 2 | no | — |
| 246 | #10621900 | — | 4 | 2 | no | — |
| 247 | #10621900 | — | 4 | 4 | no | — |
| 248 | #10621900 | — | 4 | 4 | no | — |
| 249 | #10621900 | — | 4 | 2 | no | — |
| 250 | D4×D43 | — | 2 | 2 | no | — |
| 251 | D4×D43 | — | 4 | 2 | no | — |
| 252 | D4×D43 | — | 4 | 2 | no | — |
| 253 | D4×D43 | — | 4 | 1 | no | — |
| 254 | #10621898 | — | 2 | 1 | no | — |
| 255 | #10621898 | — | 2 | 1 | no | — |
| 256 | #10621898 | — | 2 | 4 | no | — |
| 257 | #10621898 | — | 2 | 1 | no | — |
| 258 | #10621898 | — | 2 | 1 | no | — |
| 259 | #10621898 | — | 2 | 1 | no | — |
| 260 | #10621898 | — | 2 | 1 | no | — |
| 261 | #10621898 | — | 2 | 1 | no | — |
| 262 | #10621898 | — | 2 | 1 | no | — |
| 263 | #10621898 | — | 2 | 1 | no | — |
| 264 | #10621898 | — | 2 | 1 | no | — |
| 265 | #10621898 | — | 2 | 1 | no | — |
| 266 | #10621898 | — | 2 | 1 | no | — |
| 267 | #10621898 | — | 2 | 1 | no | — |
| 268 | #10621898 | — | 2 | 1 | no | — |
| 269 | #10621898 | — | 2 | 2 | no | — |
| 270 | #10621898 | — | 2 | 2 | no | — |
| 271 | #10621898 | — | 4 | 2 | no | — |
| 272 | #10621898 | — | 4 | 2 | no | — |
| 273 | #10621898 | — | 4 | 2 | no | — |
| 274 | #10621898 | — | 4 | 4 | no | — |
| 275 | #10621898 | — | 4 | 4 | no | — |
| 276 | #10621898 | C2×D4 | 1 | 2 | yes | — |
| 277 | #10621898 | C2×D4 | 1 | 2 | yes | — |
| 278 | C2×D172 | — | 2 | 2 | no | — |
| 279 | C2×D172 | — | 4 | 1 | no | — |
| 280 | C2×D172 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C2×D172 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | C2×D172 | C2×D4 | 1 | 1 | yes | characteristic |
| 283 | C2×D172 | C2×D4 | 1 | 1 | yes | characteristic |
| 284 | C2×C4×D43 | — | 2 | 1 | no | — |
| 285 | C2×C4×D43 | — | 2 | 1 | no | — |
| 286 | C2×C4×D43 | — | 2 | 1 | no | — |
| 287 | C2×C4×D43 | — | 2 | 1 | no | — |
| 288 | C2×C4×D43 | — | 4 | 1 | no | — |
| 289 | C2×C4×D43 | — | 4 | 1 | no | — |
| 290 | C2×C4×D43 | — | 4 | 1 | no | — |
| 291 | C2×C4×D43 | — | 4 | 2 | no | — |
| 292 | C2×Dic86 | — | 2 | 4 | no | — |
| 293 | C2×Dic86 | — | 2 | 1 | no | — |
| 294 | C2×Dic86 | — | 2 | 1 | no | — |
| 295 | C2×Dic86 | — | 2 | 1 | no | — |
| 296 | C2×Dic86 | — | 2 | 1 | no | — |
| 297 | C2×Dic86 | — | 2 | 2 | no | — |
| 298 | C2×Dic86 | — | 2 | 1 | no | — |
| 299 | C2×Dic86 | — | 4 | 2 | no | — |
| 300 | C2×Dic86 | — | 4 | 1 | no | — |
| 301 | C2×Dic86 | — | 4 | 1 | no | — |
| 302 | C2×Dic86 | C2×D4 | 1 | 2 | yes | — |
| 303 | C2×Dic86 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C2×Dic86 | C2×D4 | 1 | 1 | yes | characteristic |
| 305 | C2×Dic86 | C2×D4 | 1 | 1 | yes | characteristic |
| 306 | C2×Dic86 | C2×D4 | 1 | 1 | yes | characteristic |
| 307 | Q16×C43 | — | 2 | 4 | no | — |
| 308 | SD16×C43 | — | 2 | 4 | no | — |
| 309 | M16×C43 | — | 2 | 4 | no | — |
| 310 | M16×C43 | — | 2 | 1 | no | — |
| 311 | M16×C43 | — | 2 | 1 | no | — |
| 312 | M16×C43 | — | 2 | 1 | no | — |
| 313 | M16×C43 | — | 2 | 1 | no | — |
| 314 | M16×C43 | — | 2 | 1 | no | — |
| 315 | M16×C43 | — | 2 | 1 | no | — |
| 316 | M16×C43 | — | 2 | 1 | no | — |
| 317 | M16×C43 | C2×D4 | 1 | 2 | yes | — |
| 318 | C2×C8×C43 | — | 2 | 4 | no | — |
| 319 | C2×C8×C43 | — | 2 | 1 | no | — |
| 320 | C2×C8×C43 | — | 2 | 1 | no | — |
| 321 | C2×C8×C43 | C2×D4 | 1 | 2 | yes | — |
| 322 | C2×C8×C43 | C2×D4 | 1 | 2 | yes | — |
| 323 | C4⋊C4×C43 | — | 2 | 1 | no | — |
| 324 | C22⋊C4×C43 | — | 2 | 1 | no | — |
| 325 | C42×C43 | — | 2 | 1 | no | — |
| 326 | C22⋊Dic43 | — | 2 | 1 | no | — |
| 327 | #10621885 | — | 2 | 4 | no | — |
| 328 | #10621885 | — | 2 | 2 | no | — |
| 329 | #10621885 | — | 4 | 4 | no | — |
| 330 | #10621884 | — | 2 | 4 | no | — |
| 331 | #10621884 | — | 2 | 2 | no | — |
| 332 | #10621883 | — | 2 | 2 | no | — |
| 333 | #10621882 | — | 2 | 2 | no | — |
| 334 | (C2×D43)⋊C4 | — | 4 | 2 | no | — |
| 335 | (C2×D43)⋊C4 | — | 4 | 2 | no | — |
| 336 | C4⋊Dic43 | — | 2 | 1 | no | — |
| 337 | C4⋊Dic43 | — | 4 | 2 | no | — |
| 338 | Dic43⋊C4 | — | 4 | 2 | no | — |
| 339 | C4×Dic43 | — | 2 | 1 | no | — |
| 340 | #10621877 | — | 2 | 1 | no | — |
| 341 | #10621877 | C2×D4 | 1 | 2 | yes | — |
| 342 | C2×C43⋊C8 | — | 2 | 1 | no | — |
| 343 | C2×C43⋊C8 | — | 2 | 1 | no | — |
| 344 | C2×C43⋊C8 | — | 2 | 1 | no | — |
| 345 | C2×C43⋊C8 | — | 2 | 1 | no | — |
| 346 | Dic172 | — | 2 | 2 | no | — |
| 347 | Dic172 | — | 2 | 4 | no | — |
| 348 | Dic172 | — | 2 | 2 | no | — |
| 349 | Dic172 | — | 2 | 2 | no | — |
| 350 | Dic172 | — | 2 | 4 | no | — |
| 351 | Dic172 | — | 4 | 1 | no | — |
| 352 | D344 | — | 2 | 2 | no | — |
| 353 | D344 | — | 2 | 2 | no | — |
| 354 | D344 | — | 2 | 2 | no | — |
| 355 | D344 | — | 4 | 1 | no | — |
| 356 | #10621873 | — | 2 | 2 | no | — |
| 357 | #10621873 | — | 2 | 4 | no | — |
| 358 | #10621873 | — | 2 | 2 | no | — |
| 359 | #10621873 | — | 2 | 2 | no | — |
| 360 | #10621873 | — | 2 | 2 | no | — |
| 361 | #10621873 | — | 2 | 2 | no | — |
| 362 | #10621873 | — | 2 | 4 | no | — |
| 363 | #10621873 | — | 2 | 2 | no | — |
| 364 | #10621873 | — | 4 | 1 | no | — |
| 365 | #10621873 | — | 4 | 1 | no | — |
| 366 | #10621872 | — | 2 | 4 | no | — |
| 367 | C8×D43 | — | 2 | 4 | no | — |
| 368 | C23×C43 | — | 2 | 1 | no | — |
| 369 | C23×C43 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 370 | C22×D43 | — | 2 | 1 | no | — |
| 371 | C22×D43 | — | 2 | 1 | no | — |
| 372 | C22×D43 | — | 2 | 1 | no | — |
| 373 | C22×D43 | — | 2 | 1 | no | — |
| 374 | C22×D43 | — | 4 | 2 | no | — |
| 375 | Q8×C43 | — | 2 | 1 | no | — |
| 376 | Q8×C43 | — | 2 | 2 | no | — |
| 377 | Q8×C43 | — | 2 | 2 | no | — |
| 378 | Q8×C43 | — | 4 | 1 | no | — |
| 379 | Q8×C43 | — | 4 | 1 | no | — |
| 380 | Q8×C43 | #120 | 1 | 2 | yes | — |
| 381 | D4×C43 | — | 2 | 2 | no | — |
| 382 | D4×C43 | — | 2 | 2 | no | — |
| 383 | D4×C43 | — | 2 | 1 | no | — |
| 384 | D4×C43 | #120 | 1 | 2 | yes | — |
| 385 | C2×C4×C43 | — | 2 | 1 | no | — |
| 386 | C2×C4×C43 | — | 2 | 2 | no | — |
| 387 | C2×C4×C43 | — | 2 | 2 | no | — |
| 388 | C2×C4×C43 | — | 2 | 2 | no | — |
| 389 | C2×C4×C43 | — | 4 | 1 | no | — |
| 390 | C2×C4×C43 | — | 4 | 1 | no | — |
| 391 | C2×C4×C43 | — | 4 | 1 | no | — |
| 392 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 393 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 394 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 395 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 396 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 397 | C2×C4×C43 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 398 | C22⋊D43 | — | 2 | 2 | no | — |
| 399 | C22⋊D43 | — | 2 | 2 | no | — |
| 400 | C22⋊D43 | — | 4 | 2 | no | — |
| 401 | C22⋊D43 | — | 4 | 2 | no | — |
| 402 | C22⋊D43 | — | 4 | 4 | no | — |
| 403 | C22⋊D43 | — | 4 | 1 | no | — |
| 404 | C22⋊D43 | — | 4 | 1 | no | — |
| 405 | C22⋊D43 | — | 4 | 1 | no | — |
| 406 | C22⋊D43 | — | 4 | 1 | no | — |
| 407 | C22⋊D43 | — | 4 | 1 | no | — |
| 408 | C22⋊D43 | — | 4 | 1 | no | — |
| 409 | C2×Dic43 | — | 2 | 1 | no | — |
| 410 | C2×Dic43 | — | 2 | 1 | no | — |
| 411 | C2×Dic43 | — | 2 | 1 | no | — |
| 412 | C2×Dic43 | — | 2 | 1 | no | — |
| 413 | C2×Dic43 | — | 2 | 2 | no | — |
| 414 | C2×Dic43 | — | 4 | 2 | no | — |
| 415 | C2×Dic43 | — | 4 | 4 | no | — |
| 416 | C2×Dic43 | — | 4 | 1 | no | — |
| 417 | C2×Dic43 | — | 4 | 1 | no | — |
| 418 | C2×Dic43 | — | 4 | 1 | no | — |
| 419 | D172 | — | 2 | 1 | no | — |
| 420 | D172 | — | 2 | 1 | no | — |
| 421 | D172 | — | 2 | 1 | no | — |
| 422 | D172 | — | 2 | 1 | no | — |
| 423 | D172 | — | 2 | 1 | no | — |
| 424 | D172 | — | 2 | 1 | no | — |
| 425 | D172 | — | 2 | 1 | no | — |
| 426 | D172 | — | 4 | 2 | no | — |
| 427 | D172 | — | 4 | 4 | no | — |
| 428 | D172 | #120 | 1 | 2 | yes | — |
| 429 | C4×D43 | — | 2 | 2 | no | — |
| 430 | C4×D43 | — | 2 | 2 | no | — |
| 431 | C4×D43 | — | 4 | 2 | no | — |
| 432 | C4×D43 | — | 4 | 4 | no | — |
| 433 | C4×D43 | — | 4 | 2 | no | — |
| 434 | C4×D43 | — | 4 | 4 | no | — |
| 435 | C4×D43 | — | 4 | 4 | no | — |
| 436 | C4×D43 | — | 4 | 1 | no | — |
| 437 | C4×D43 | — | 4 | 1 | no | — |
| 438 | C4×D43 | — | 4 | 1 | no | — |
| 439 | C4×D43 | — | 4 | 1 | no | — |
| 440 | C4×D43 | — | 4 | 1 | no | — |
| 441 | C4×D43 | — | 4 | 1 | no | — |
| 442 | Dic86 | — | 2 | 1 | no | — |
| 443 | Dic86 | — | 2 | 1 | no | — |
| 444 | Dic86 | — | 2 | 2 | no | — |
| 445 | Dic86 | — | 2 | 1 | no | — |
| 446 | Dic86 | — | 2 | 1 | no | — |
| 447 | Dic86 | — | 2 | 1 | no | — |
| 448 | Dic86 | — | 2 | 1 | no | — |
| 449 | Dic86 | — | 2 | 1 | no | — |
| 450 | Dic86 | — | 2 | 2 | no | — |
| 451 | Dic86 | — | 4 | 2 | no | — |
| 452 | Dic86 | — | 4 | 4 | no | — |
| 453 | Dic86 | — | 4 | 4 | no | — |
| 454 | Dic86 | — | 4 | 1 | no | — |
| 455 | Dic86 | — | 4 | 1 | no | — |
| 456 | Dic86 | #120 | 1 | 2 | yes | — |
| 457 | C8×C43 | — | 2 | 2 | no | — |
| 458 | C8×C43 | — | 2 | 2 | no | — |
| 459 | C8×C43 | — | 2 | 2 | no | — |
| 460 | C8×C43 | — | 4 | 1 | no | — |
| 461 | C43⋊C8 | — | 2 | 2 | no | — |
| 462 | C43⋊C8 | — | 4 | 1 | no | — |
| 463 | #23893 | — | 43 | 1 | no | maximal, Sylow |
| 464 | C22×C43 | — | 2 | 2 | no | — |
| 465 | C22×C43 | — | 4 | 1 | no | — |
| 466 | C22×C43 | — | 8 | 1 | no | — |
| 467 | C22×C43 | #534 | 1 | 1 | yes | characteristic |
| 468 | C22×C43 | D42 | 1 | 1 | yes | characteristic |
| 469 | C22×C43 | D42 | 1 | 1 | yes | characteristic |
| 470 | C2×D43 | — | 2 | 2 | no | — |
| 471 | C2×D43 | — | 4 | 2 | no | — |
| 472 | C2×D43 | — | 4 | 2 | no | — |
| 473 | C2×D43 | — | 4 | 1 | no | — |
| 474 | C2×D43 | — | 4 | 1 | no | — |
| 475 | C2×D43 | — | 4 | 1 | no | — |
| 476 | C2×D43 | — | 8 | 1 | no | — |
| 477 | C2×D43 | — | 8 | 1 | no | — |
| 478 | C2×D43 | — | 16 | 2 | no | — |
| 479 | C4×C43 | — | 2 | 2 | no | — |
| 480 | C4×C43 | — | 4 | 2 | no | — |
| 481 | C4×C43 | — | 8 | 1 | no | — |
| 482 | C4×C43 | C2×#120 | 1 | 1 | yes | characteristic |
| 483 | C4×C43 | C2×#120 | 1 | 1 | yes | characteristic |
| 484 | C4×C43 | D42 | 1 | 1 | yes | characteristic |
| 485 | C4×C43 | D42 | 1 | 1 | yes | characteristic |
| 486 | Dic43 | — | 2 | 2 | no | — |
| 487 | Dic43 | — | 4 | 1 | no | — |
| 488 | Dic43 | — | 4 | 1 | no | — |
| 489 | Dic43 | — | 4 | 2 | no | — |
| 490 | Dic43 | — | 4 | 1 | no | — |
| 491 | Dic43 | — | 8 | 1 | no | — |
| 492 | #3586 | — | 43 | 1 | no | — |
| 493 | #3586 | — | 43 | 1 | no | — |
| 494 | #3020 | — | 43 | 1 | no | — |
| 495 | #3020 | — | 43 | 1 | no | — |
| 496 | #3011 | — | 43 | 1 | no | — |
| 497 | #3011 | — | 43 | 1 | no | — |
| 498 | #2020 | — | 43 | 1 | no | — |
| 499 | #2017 | — | 43 | 1 | no | — |
| 500 | #2009 | — | 43 | 1 | no | — |
| 501 | #2009 | — | 43 | 1 | no | — |
| 502 | #1902 | — | 43 | 1 | no | — |
| 503 | #1902 | D43 | 1 | 1 | yes | characteristic, complemented |
| 504 | #1881 | — | 43 | 1 | no | — |
| 505 | #1881 | — | 43 | 1 | no | — |
| 506 | #1794 | — | 43 | 1 | no | — |
| 507 | C2×C43 | — | 2 | 1 | no | — |
| 508 | C2×C43 | — | 2 | 1 | no | — |
| 509 | C2×C43 | — | 2 | 1 | no | — |
| 510 | C2×C43 | — | 4 | 2 | no | — |
| 511 | C2×C43 | #2403 | 1 | 1 | yes | characteristic |
| 512 | D43 | — | 4 | 2 | no | — |
| 513 | D43 | — | 8 | 1 | no | — |
| 514 | D43 | — | 8 | 1 | no | — |
| 515 | D43 | — | 8 | 1 | no | — |
| 516 | #585 | — | 43 | 1 | no | — |
| 517 | C2×2−1+4 | — | 43 | 1 | no | — |
| 518 | C2×2−1+4 | — | 43 | 1 | no | — |
| 519 | #578 | — | 86 | 2 | no | — |
| 520 | #578 | — | 86 | 2 | no | — |
| 521 | #578 | — | 86 | 2 | no | — |
| 522 | #578 | — | 86 | 2 | no | — |
| 523 | #577 | — | 86 | 2 | no | — |
| 524 | #577 | — | 86 | 2 | no | — |
| 525 | #577 | — | 86 | 2 | no | — |
| 526 | #577 | — | 86 | 2 | no | — |
| 527 | #575 | — | 43 | 1 | no | — |
| 528 | #575 | — | 43 | 1 | no | — |
| 529 | #575 | — | 43 | 1 | no | — |
| 530 | #575 | — | 43 | 1 | no | — |
| 531 | #575 | — | 43 | 1 | no | — |
| 532 | #575 | — | 86 | 2 | no | — |
| 533 | #575 | — | 86 | 2 | no | — |
| 534 | C2×#137 | — | 43 | 1 | no | — |
| 535 | C2×#137 | — | 43 | 1 | no | — |
| 536 | C2×#137 | — | 43 | 1 | no | — |
| 537 | C2×#137 | — | 86 | 2 | no | — |
| 538 | C2×#137 | — | 86 | 2 | no | — |
| 539 | C2×#137 | C2×D43 | 1 | 1 | yes | characteristic |
| 540 | C22×Q16 | — | 43 | 1 | no | — |
| 541 | #568 | — | 43 | 1 | no | — |
| 542 | #568 | C2×D43 | 1 | 1 | yes | characteristic |
| 543 | #536 | — | 43 | 1 | no | — |
| 544 | #536 | — | 43 | 1 | no | — |
| 545 | #456 | — | 86 | 2 | no | — |
| 546 | #456 | — | 86 | 2 | no | — |
| 547 | #454 | — | 86 | 2 | no | — |
| 548 | #454 | — | 86 | 2 | no | — |
| 549 | #452 | — | 86 | 2 | no | — |
| 550 | #452 | — | 86 | 2 | no | — |
| 551 | #451 | — | 86 | 2 | no | — |
| 552 | #451 | — | 86 | 2 | no | — |
| 553 | #421 | — | 43 | 1 | no | — |
| 554 | #421 | — | 43 | 1 | no | — |
| 555 | #421 | — | 43 | 1 | no | — |
| 556 | #421 | C2×D43 | 1 | 1 | yes | characteristic |
| 557 | #419 | — | 43 | 1 | no | — |
| 558 | #419 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 559 | #416 | — | 43 | 1 | no | — |
| 560 | #416 | — | 43 | 1 | no | — |
| 561 | C2×#101 | — | 43 | 1 | no | — |
| 562 | C2×#101 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 563 | #410 | — | 43 | 1 | no | — |
| 564 | #408 | — | 43 | 1 | no | — |
| 565 | #408 | — | 43 | 1 | no | — |
| 566 | #408 | — | 43 | 1 | no | — |
| 567 | #344 | — | 43 | 1 | no | — |
| 568 | #344 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 569 | #341 | — | 43 | 1 | no | — |
| 570 | #338 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 571 | C43 | #23893 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 572 | 2−1+4 | — | 43 | 2 | no | — |
| 573 | 2−1+4 | — | 86 | 2 | no | — |
| 574 | 2−1+4 | — | 86 | 2 | no | — |
| 575 | 2−1+4 | — | 86 | 2 | no | — |
| 576 | 2−1+4 | — | 86 | 1 | no | — |
| 577 | 2−1+4 | — | 86 | 2 | no | — |
| 578 | 2−1+4 | — | 86 | 2 | no | — |
| 579 | 2−1+4 | — | 86 | 1 | no | — |
| 580 | 2−1+4 | — | 86 | 2 | no | — |
| 581 | 2−1+4 | — | 172 | 1 | no | — |
| 582 | 2−1+4 | — | 172 | 1 | no | — |
| 583 | H(5,𝔽2) | — | 43 | 2 | no | — |
| 584 | H(5,𝔽2) | — | 86 | 1 | no | — |
| 585 | H(5,𝔽2) | — | 86 | 1 | no | — |
| 586 | H(5,𝔽2) | — | 172 | 1 | no | — |
| 587 | C2×#41 | — | 43 | 1 | no | — |
| 588 | C2×#41 | — | 43 | 1 | no | — |
| 589 | C2×#41 | — | 43 | 1 | no | — |
| 590 | C2×#41 | — | 43 | 1 | no | — |
| 591 | C2×#41 | — | 86 | 1 | no | — |
| 592 | C2×#41 | — | 86 | 2 | no | — |
| 593 | C2×#41 | — | 86 | 1 | no | — |
| 594 | C2×#41 | — | 86 | 1 | no | — |
| 595 | C2×#41 | — | 86 | 2 | no | — |
| 596 | C2×#41 | — | 86 | 1 | no | — |
| 597 | C2×#41 | — | 172 | 1 | no | — |
| 598 | C2×#41 | — | 172 | 1 | no | — |
| 599 | C2×#41 | — | 172 | 1 | no | — |
| 600 | C2×#41 | C22×D43 | 1 | 1 | yes | characteristic |
| 601 | C22×Q8 | — | 43 | 1 | no | — |
| 602 | C22×Q8 | — | 86 | 1 | no | — |
| 603 | C22×Q8 | — | 86 | 1 | no | — |
| 604 | C22×Q8 | — | 86 | 1 | no | — |
| 605 | C22×Q8 | — | 86 | 1 | no | — |
| 606 | C22×Q8 | C22×D43 | 1 | 1 | yes | characteristic |
| 607 | #137 | — | 2 | 2 | no | — |
| 608 | #137 | — | 2 | 2 | no | — |
| 609 | #137 | — | 43 | 2 | no | — |
| 610 | #137 | — | 43 | 2 | no | — |
| 611 | #137 | — | 86 | 2 | no | — |
| 612 | #137 | — | 86 | 1 | no | — |
| 613 | #137 | — | 86 | 1 | no | — |
| 614 | #137 | — | 86 | 1 | no | — |
| 615 | #137 | — | 86 | 1 | no | — |
| 616 | #137 | — | 86 | 1 | no | — |
| 617 | #137 | — | 86 | 2 | no | — |
| 618 | #137 | — | 86 | 2 | no | — |
| 619 | #137 | — | 86 | 4 | no | — |
| 620 | #137 | — | 86 | 4 | no | — |
| 621 | #137 | — | 86 | 4 | no | — |
| 622 | #137 | — | 86 | 1 | no | — |
| 623 | #137 | — | 86 | 1 | no | — |
| 624 | #137 | — | 86 | 2 | no | — |
| 625 | #137 | — | 86 | 4 | no | — |
| 626 | #137 | — | 86 | 4 | no | — |
| 627 | #137 | — | 86 | 4 | no | — |
| 628 | #137 | — | 86 | 2 | no | — |
| 629 | #137 | — | 86 | 1 | no | — |
| 630 | #137 | — | 86 | 2 | no | — |
| 631 | AGL(1,ℤ/8) | — | 43 | 2 | no | — |
| 632 | AGL(1,ℤ/8) | — | 43 | 2 | no | — |
| 633 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 634 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 635 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 636 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 637 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 638 | AGL(1,ℤ/8) | — | 86 | 4 | no | — |
| 639 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 640 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 641 | AGL(1,ℤ/8) | — | 86 | 4 | no | — |
| 642 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 643 | #135 | — | 86 | 2 | no | — |
| 644 | #135 | — | 86 | 4 | no | — |
| 645 | #135 | — | 86 | 4 | no | — |
| 646 | #135 | — | 86 | 4 | no | — |
| 647 | #135 | — | 86 | 4 | no | — |
| 648 | #135 | — | 86 | 2 | no | — |
| 649 | #135 | — | 86 | 2 | no | — |
| 650 | #135 | — | 86 | 2 | no | — |
| 651 | #135 | — | 172 | 1 | no | — |
| 652 | C2×Q16 | — | 43 | 2 | no | — |
| 653 | C2×Q16 | — | 86 | 1 | no | — |
| 654 | C2×Q16 | — | 86 | 4 | no | — |
| 655 | C2×Q16 | — | 86 | 4 | no | — |
| 656 | C2×Q16 | — | 86 | 1 | no | — |
| 657 | C2×Q16 | — | 86 | 2 | no | — |
| 658 | C2×Q16 | — | 86 | 2 | no | — |
| 659 | C2×Q16 | — | 172 | 1 | no | — |
| 660 | C2×Q16 | D172 | 1 | 2 | yes | — |
| 661 | C2×SD16 | — | 43 | 2 | no | — |
| 662 | C2×SD16 | — | 86 | 1 | no | — |
| 663 | C2×SD16 | — | 86 | 4 | no | — |
| 664 | C2×SD16 | — | 86 | 4 | no | — |
| 665 | C2×SD16 | — | 86 | 1 | no | — |
| 666 | C2×SD16 | D172 | 1 | 2 | yes | — |
| 667 | #131 | — | 2 | 2 | no | — |
| 668 | #131 | — | 2 | 2 | no | — |
| 669 | #131 | — | 86 | 2 | no | — |
| 670 | #131 | — | 86 | 2 | no | — |
| 671 | C2×M16 | — | 2 | 2 | no | — |
| 672 | C2×M16 | — | 43 | 1 | no | — |
| 673 | C2×M16 | — | 86 | 2 | no | — |
| 674 | C2×M16 | C22×D43 | 1 | 1 | yes | characteristic |
| 675 | C2×M16 | C22×D43 | 1 | 1 | yes | characteristic |
| 676 | C2×M16 | C22×D43 | 1 | 1 | yes | characteristic |
| 677 | C2×M16 | C22×D43 | 1 | 1 | yes | characteristic |
| 678 | C22×C8 | — | 43 | 1 | no | — |
| 679 | C4⋊Q8 | — | 86 | 1 | no | — |
| 680 | C4⋊Q8 | — | 86 | 1 | no | — |
| 681 | #124 | — | 86 | 1 | no | — |
| 682 | #124 | — | 86 | 1 | no | — |
| 683 | #123 | — | 172 | 1 | no | — |
| 684 | #123 | — | 172 | 1 | no | — |
| 685 | C22⋊Q8 | — | 86 | 2 | no | — |
| 686 | C22⋊Q8 | — | 86 | 2 | no | — |
| 687 | #117 | — | 43 | 1 | no | — |
| 688 | #117 | C22×D43 | 1 | 1 | yes | characteristic |
| 689 | #104 | — | 2 | 2 | no | — |
| 690 | #104 | — | 86 | 2 | no | — |
| 691 | #104 | — | 86 | 2 | no | — |
| 692 | #104 | — | 86 | 2 | no | — |
| 693 | #103 | — | 2 | 2 | no | — |
| 694 | #103 | — | 86 | 1 | no | — |
| 695 | #103 | — | 86 | 1 | no | — |
| 696 | #103 | — | 86 | 2 | no | — |
| 697 | #102 | — | 86 | 1 | no | — |
| 698 | #102 | — | 86 | 1 | no | — |
| 699 | #101 | — | 2 | 2 | no | — |
| 700 | #101 | — | 86 | 2 | no | — |
| 701 | #99 | — | 172 | 1 | no | — |
| 702 | C22⋊C8 | — | 86 | 2 | no | — |
| 703 | C22⋊C8 | — | 86 | 2 | no | — |
| 704 | C22⋊C8 | — | 172 | 1 | no | — |
| 705 | #41 | — | 2 | 1 | no | — |
| 706 | #41 | — | 2 | 1 | no | — |
| 707 | #41 | — | 43 | 2 | no | — |
| 708 | #41 | — | 43 | 2 | no | — |
| 709 | #41 | — | 86 | 2 | no | — |
| 710 | #41 | — | 86 | 2 | no | — |
| 711 | #41 | — | 86 | 4 | no | — |
| 712 | #41 | — | 86 | 1 | no | — |
| 713 | #41 | — | 86 | 1 | no | — |
| 714 | #41 | — | 86 | 4 | no | — |
| 715 | #41 | — | 86 | 2 | no | — |
| 716 | #41 | — | 86 | 2 | no | — |
| 717 | #41 | — | 86 | 1 | no | — |
| 718 | #41 | — | 86 | 1 | no | — |
| 719 | #41 | — | 86 | 1 | no | — |
| 720 | #41 | — | 86 | 1 | no | — |
| 721 | #41 | — | 86 | 1 | no | — |
| 722 | #41 | — | 86 | 1 | no | — |
| 723 | #41 | — | 86 | 1 | no | — |
| 724 | #41 | — | 86 | 1 | no | — |
| 725 | #41 | — | 86 | 1 | no | — |
| 726 | #41 | — | 86 | 1 | no | — |
| 727 | #41 | — | 86 | 1 | no | — |
| 728 | #41 | — | 86 | 1 | no | — |
| 729 | #41 | — | 172 | 2 | no | — |
| 730 | #41 | — | 172 | 2 | no | — |
| 731 | #41 | — | 172 | 2 | no | — |
| 732 | #41 | — | 172 | 4 | no | — |
| 733 | #41 | — | 172 | 4 | no | — |
| 734 | #41 | — | 172 | 2 | no | — |
| 735 | #41 | — | 172 | 2 | no | — |
| 736 | #41 | — | 172 | 4 | no | — |
| 737 | #41 | — | 172 | 2 | no | — |
| 738 | #41 | — | 172 | 2 | no | — |
| 739 | #41 | — | 172 | 1 | no | — |
| 740 | #41 | — | 172 | 4 | no | — |
| 741 | #41 | — | 172 | 2 | no | — |
| 742 | #41 | — | 172 | 2 | no | — |
| 743 | #41 | — | 172 | 1 | no | — |
| 744 | #41 | — | 172 | 2 | no | — |
| 745 | #41 | D4×D43 | 1 | 2 | yes | — |
| 746 | #41 | D4×D43 | 1 | 2 | yes | — |
| 747 | C2×Q8 | — | 2 | 1 | no | — |
| 748 | C2×Q8 | — | 2 | 1 | no | — |
| 749 | C2×Q8 | — | 2 | 1 | no | — |
| 750 | C2×Q8 | — | 2 | 1 | no | — |
| 751 | C2×Q8 | — | 2 | 1 | no | — |
| 752 | C2×Q8 | — | 43 | 1 | no | — |
| 753 | C2×Q8 | — | 43 | 2 | no | — |
| 754 | C2×Q8 | — | 43 | 1 | no | — |
| 755 | C2×Q8 | — | 43 | 1 | no | — |
| 756 | C2×Q8 | — | 43 | 1 | no | — |
| 757 | C2×Q8 | — | 86 | 2 | no | — |
| 758 | C2×Q8 | — | 86 | 4 | no | — |
| 759 | C2×Q8 | — | 86 | 1 | no | — |
| 760 | C2×Q8 | — | 86 | 4 | no | — |
| 761 | C2×Q8 | — | 86 | 2 | no | — |
| 762 | C2×Q8 | — | 86 | 1 | no | — |
| 763 | C2×Q8 | — | 86 | 1 | no | — |
| 764 | C2×Q8 | — | 86 | 1 | no | — |
| 765 | C2×Q8 | — | 86 | 1 | no | — |
| 766 | C2×Q8 | — | 172 | 1 | no | — |
| 767 | C2×Q8 | — | 172 | 2 | no | — |
| 768 | C2×Q8 | — | 172 | 1 | no | — |
| 769 | C2×Q8 | — | 172 | 2 | no | — |
| 770 | C2×Q8 | — | 172 | 2 | no | — |
| 771 | C2×Q8 | — | 172 | 2 | no | — |
| 772 | C2×Q8 | — | 172 | 1 | no | — |
| 773 | C2×Q8 | — | 172 | 2 | no | — |
| 774 | C2×Q8 | — | 172 | 2 | no | — |
| 775 | C2×Q8 | C2×D172 | 1 | 2 | yes | — |
| 776 | C2×Q8 | C2×D172 | 1 | 1 | yes | characteristic |
| 777 | C2×D4 | — | 2 | 1 | no | — |
| 778 | C2×D4 | — | 43 | 1 | no | — |
| 779 | C2×D4 | — | 43 | 1 | no | — |
| 780 | C2×D4 | — | 43 | 1 | no | — |
| 781 | C2×D4 | — | 43 | 1 | no | — |
| 782 | C2×D4 | — | 86 | 2 | no | — |
| 783 | C2×D4 | — | 86 | 1 | no | — |
| 784 | C2×D4 | — | 86 | 2 | no | — |
| 785 | C2×D4 | — | 86 | 1 | no | — |
| 786 | C2×D4 | — | 86 | 1 | no | — |
| 787 | C2×D4 | — | 86 | 1 | no | — |
| 788 | C2×D4 | — | 172 | 1 | no | — |
| 789 | C2×D4 | — | 172 | 2 | no | — |
| 790 | C2×D4 | — | 172 | 1 | no | — |
| 791 | C2×D4 | — | 172 | 2 | no | — |
| 792 | C2×D4 | — | 172 | 2 | no | — |
| 793 | C2×D4 | — | 172 | 1 | no | — |
| 794 | C2×D4 | C2×D172 | 1 | 1 | yes | characteristic |
| 795 | C22×C4 | — | 2 | 1 | no | — |
| 796 | C22×C4 | — | 2 | 1 | no | — |
| 797 | C22×C4 | — | 86 | 1 | no | — |
| 798 | C22×C4 | — | 86 | 1 | no | — |
| 799 | C22×C4 | — | 86 | 1 | no | — |
| 800 | C22×C4 | — | 86 | 1 | no | — |
| 801 | C22×C4 | — | 86 | 1 | no | — |
| 802 | C22×C4 | — | 172 | 2 | no | — |
| 803 | C22×C4 | — | 172 | 1 | no | — |
| 804 | C22×C4 | — | 172 | 1 | no | — |
| 805 | C22×C4 | — | 172 | 1 | no | — |
| 806 | C22×C4 | — | 172 | 1 | no | — |
| 807 | C22×C4 | C23×D43 | 1 | 1 | yes | characteristic |
| 808 | Q16 | — | 2 | 4 | no | — |
| 809 | Q16 | — | 86 | 4 | no | — |
| 810 | Q16 | — | 86 | 2 | no | — |
| 811 | Q16 | — | 86 | 4 | no | — |
| 812 | Q16 | — | 86 | 2 | no | — |
| 813 | Q16 | — | 86 | 2 | no | — |
| 814 | Q16 | — | 86 | 4 | no | — |
| 815 | Q16 | — | 86 | 2 | no | — |
| 816 | Q16 | — | 172 | 1 | no | — |
| 817 | Q16 | — | 172 | 4 | no | — |
| 818 | SD16 | — | 2 | 4 | no | — |
| 819 | SD16 | — | 86 | 4 | no | — |
| 820 | SD16 | — | 86 | 2 | no | — |
| 821 | SD16 | — | 86 | 2 | no | — |
| 822 | SD16 | — | 86 | 4 | no | — |
| 823 | SD16 | — | 86 | 2 | no | — |
| 824 | SD16 | — | 86 | 2 | no | — |
| 825 | SD16 | — | 86 | 2 | no | — |
| 826 | SD16 | — | 86 | 2 | no | — |
| 827 | SD16 | — | 86 | 4 | no | — |
| 828 | SD16 | — | 86 | 2 | no | — |
| 829 | SD16 | — | 86 | 2 | no | — |
| 830 | SD16 | — | 172 | 1 | no | — |
| 831 | SD16 | — | 172 | 1 | no | — |
| 832 | D8 | — | 86 | 2 | no | — |
| 833 | D8 | — | 86 | 2 | no | — |
| 834 | D8 | — | 86 | 2 | no | — |
| 835 | D8 | — | 86 | 2 | no | — |
| 836 | D8 | — | 172 | 1 | no | — |
| 837 | M16 | — | 2 | 4 | no | — |
| 838 | M16 | — | 2 | 1 | no | — |
| 839 | M16 | — | 2 | 1 | no | — |
| 840 | M16 | — | 2 | 1 | no | — |
| 841 | M16 | — | 2 | 1 | no | — |
| 842 | M16 | — | 2 | 1 | no | — |
| 843 | M16 | — | 2 | 1 | no | — |
| 844 | M16 | — | 2 | 1 | no | — |
| 845 | M16 | — | 43 | 2 | no | — |
| 846 | M16 | — | 86 | 4 | no | — |
| 847 | M16 | — | 86 | 1 | no | — |
| 848 | M16 | D4×D43 | 1 | 2 | yes | — |
| 849 | C2×C8 | — | 2 | 4 | no | — |
| 850 | C2×C8 | — | 2 | 1 | no | — |
| 851 | C2×C8 | — | 2 | 1 | no | — |
| 852 | C2×C8 | — | 86 | 4 | no | — |
| 853 | C2×C8 | — | 86 | 1 | no | — |
| 854 | C2×C8 | — | 86 | 1 | no | — |
| 855 | C2×C8 | — | 86 | 1 | no | — |
| 856 | C2×C8 | — | 86 | 1 | no | — |
| 857 | C2×C8 | C2×D172 | 1 | 2 | yes | — |
| 858 | C2×C8 | D4×D43 | 1 | 2 | yes | — |
| 859 | C4⋊C4 | — | 2 | 1 | no | — |
| 860 | C4⋊C4 | — | 86 | 1 | no | — |
| 861 | C4⋊C4 | — | 172 | 2 | no | — |
| 862 | C4⋊C4 | — | 172 | 2 | no | — |
| 863 | C22⋊C4 | — | 2 | 1 | no | — |
| 864 | C22⋊C4 | — | 86 | 1 | no | — |
| 865 | C22⋊C4 | — | 172 | 2 | no | — |
| 866 | C22⋊C4 | — | 172 | 2 | no | — |
| 867 | C42 | — | 2 | 1 | no | — |
| 868 | C42 | — | 86 | 1 | no | — |
| 869 | C23 | — | 2 | 1 | no | — |
| 870 | C23 | — | 86 | 1 | no | — |
| 871 | C23 | — | 86 | 1 | no | — |
| 872 | C23 | — | 86 | 1 | no | — |
| 873 | C23 | — | 86 | 1 | no | — |
| 874 | C23 | — | 172 | 2 | no | — |
| 875 | C23 | #13063371 | 1 | 1 | yes | characteristic |
| 876 | Q8 | — | 2 | 1 | no | — |
| 877 | Q8 | — | 2 | 2 | no | — |
| 878 | Q8 | — | 2 | 2 | no | — |
| 879 | Q8 | — | 4 | 1 | no | — |
| 880 | Q8 | — | 4 | 1 | no | — |
| 881 | Q8 | — | 43 | 2 | no | — |
| 882 | Q8 | — | 86 | 1 | no | — |
| 883 | Q8 | — | 86 | 2 | no | — |
| 884 | Q8 | — | 86 | 1 | no | — |
| 885 | Q8 | — | 86 | 1 | no | — |
| 886 | Q8 | — | 86 | 1 | no | — |
| 887 | Q8 | — | 86 | 1 | no | — |
| 888 | Q8 | — | 86 | 1 | no | — |
| 889 | Q8 | — | 86 | 1 | no | — |
| 890 | Q8 | — | 86 | 2 | no | — |
| 891 | Q8 | — | 172 | 2 | no | — |
| 892 | Q8 | — | 172 | 4 | no | — |
| 893 | Q8 | — | 172 | 4 | no | — |
| 894 | Q8 | — | 172 | 1 | no | — |
| 895 | Q8 | — | 172 | 1 | no | — |
| 896 | Q8 | #13063295 | 1 | 2 | yes | — |
| 897 | D4 | — | 2 | 2 | no | — |
| 898 | D4 | — | 2 | 2 | no | — |
| 899 | D4 | — | 2 | 1 | no | — |
| 900 | D4 | — | 43 | 2 | no | — |
| 901 | D4 | — | 86 | 2 | no | — |
| 902 | D4 | — | 86 | 2 | no | — |
| 903 | D4 | — | 86 | 1 | no | — |
| 904 | D4 | — | 86 | 1 | no | — |
| 905 | D4 | — | 86 | 1 | no | — |
| 906 | D4 | — | 86 | 1 | no | — |
| 907 | D4 | — | 86 | 1 | no | — |
| 908 | D4 | — | 86 | 1 | no | — |
| 909 | D4 | — | 86 | 1 | no | — |
| 910 | D4 | — | 172 | 2 | no | — |
| 911 | D4 | — | 172 | 4 | no | — |
| 912 | D4 | — | 172 | 2 | no | — |
| 913 | D4 | — | 172 | 2 | no | — |
| 914 | D4 | — | 172 | 4 | no | — |
| 915 | D4 | — | 172 | 1 | no | — |
| 916 | D4 | — | 172 | 1 | no | — |
| 917 | D4 | — | 172 | 1 | no | — |
| 918 | D4 | — | 172 | 1 | no | — |
| 919 | D4 | — | 172 | 1 | no | — |
| 920 | D4 | — | 172 | 1 | no | — |
| 921 | D4 | #13063295 | 1 | 2 | yes | — |
| 922 | C2×C4 | — | 2 | 1 | no | — |
| 923 | C2×C4 | — | 2 | 2 | no | — |
| 924 | C2×C4 | — | 2 | 2 | no | — |
| 925 | C2×C4 | — | 2 | 2 | no | — |
| 926 | C2×C4 | — | 4 | 1 | no | — |
| 927 | C2×C4 | — | 4 | 1 | no | — |
| 928 | C2×C4 | — | 4 | 1 | no | — |
| 929 | C2×C4 | — | 86 | 1 | no | — |
| 930 | C2×C4 | — | 86 | 2 | no | — |
| 931 | C2×C4 | — | 86 | 2 | no | — |
| 932 | C2×C4 | — | 86 | 1 | no | — |
| 933 | C2×C4 | — | 86 | 2 | no | — |
| 934 | C2×C4 | — | 86 | 1 | no | — |
| 935 | C2×C4 | — | 86 | 1 | no | — |
| 936 | C2×C4 | — | 172 | 2 | no | — |
| 937 | C2×C4 | — | 172 | 2 | no | — |
| 938 | C2×C4 | — | 172 | 4 | no | — |
| 939 | C2×C4 | — | 172 | 4 | no | — |
| 940 | C2×C4 | — | 172 | 4 | no | — |
| 941 | C2×C4 | — | 172 | 2 | no | — |
| 942 | C2×C4 | — | 172 | 1 | no | — |
| 943 | C2×C4 | — | 172 | 4 | no | — |
| 944 | C2×C4 | — | 172 | 1 | no | — |
| 945 | C2×C4 | — | 172 | 1 | no | — |
| 946 | C2×C4 | — | 172 | 1 | no | — |
| 947 | C2×C4 | — | 172 | 1 | no | — |
| 948 | C2×C4 | — | 172 | 1 | no | — |
| 949 | C2×C4 | — | 172 | 1 | no | — |
| 950 | C2×C4 | — | 172 | 1 | no | — |
| 951 | C2×C4 | — | 172 | 1 | no | — |
| 952 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 953 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 954 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 955 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 956 | C2×C4 | C22×D172 | 1 | 1 | yes | characteristic |
| 957 | C2×C4 | #13063371 | 1 | 1 | yes | characteristic |
| 958 | C8 | — | 2 | 2 | no | — |
| 959 | C8 | — | 2 | 2 | no | — |
| 960 | C8 | — | 2 | 2 | no | — |
| 961 | C8 | — | 4 | 1 | no | — |
| 962 | C8 | — | 86 | 2 | no | — |
| 963 | C8 | — | 172 | 1 | no | — |
| 964 | C22 | — | 2 | 2 | no | — |
| 965 | C22 | — | 4 | 1 | no | — |
| 966 | C22 | — | 8 | 1 | no | — |
| 967 | C22 | — | 86 | 2 | no | — |
| 968 | C22 | — | 344 | 1 | no | — |
| 969 | C22 | — | 344 | 1 | no | — |
| 970 | C22 | — | 172 | 2 | no | — |
| 971 | C22 | — | 172 | 2 | no | — |
| 972 | C22 | — | 172 | 1 | no | — |
| 973 | C22 | — | 172 | 1 | no | — |
| 974 | C22 | — | 172 | 1 | no | — |
| 975 | C22 | — | 688 | 2 | no | — |
| 976 | C22 | #14583460 | 1 | 1 | yes | characteristic |
| 977 | C22 | #14583533 | 1 | 1 | yes | characteristic |
| 978 | C22 | D4×D172 | 1 | 1 | yes | characteristic |
| 979 | C4 | — | 2 | 2 | no | — |
| 980 | C4 | — | 4 | 2 | no | — |
| 981 | C4 | — | 8 | 1 | no | — |
| 982 | C4 | — | 86 | 2 | no | — |
| 983 | C4 | — | 344 | 1 | no | — |
| 984 | C4 | — | 172 | 1 | no | — |
| 985 | C4 | — | 172 | 2 | no | — |
| 986 | C4 | — | 172 | 1 | no | — |
| 987 | C4 | — | 172 | 1 | no | — |
| 988 | C4 | #120×D43 | 1 | 1 | yes | characteristic |
| 989 | C4 | C2×#13063295 | 1 | 1 | yes | characteristic |
| 990 | C4 | #14583533 | 1 | 1 | yes | characteristic |
| 991 | C4 | D4×D172 | 1 | 1 | yes | characteristic |
| 992 | C2 | — | 2 | 1 | no | — |
| 993 | C2 | — | 2 | 1 | no | — |
| 994 | C2 | — | 2 | 1 | no | — |
| 995 | C2 | — | 4 | 2 | no | — |
| 996 | C2 | — | 344 | 1 | no | — |
| 997 | C2 | — | 344 | 1 | no | — |
| 998 | C2 | — | 344 | 1 | no | — |
| 999 | C2 | — | 172 | 2 | no | — |
| 1000 | C2 | #19137907 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19149383 | C2 | semidirect |
| 2. #19149378 | C2 | semidirect |
| 3. #19143962 | C2 | semidirect |
| 4. #19143961 | C2 | semidirect |
| 5. #19143891 | C2 | semidirect |
| 6. #19143889 | C2 | semidirect |
| 7. #19135715 | C2 | semidirect |
| 8. #19135700 | C2 | semidirect |
| 9. #19135658 | C2 | semidirect |
| 10. #19135657 | C2 | semidirect |
| 11. #19135069 | C2 | semidirect |
| 12. #19134957 | C2 | semidirect |
| 13. #19134956 | C2 | semidirect |
| 14. #19134557 | C2 | semidirect |
| 15. C43×#1902 | C2 | semidirect |
| 31. #14583699 | C22 | semidirect |
| 39. C22×#10621885 | C22 | semidirect |
| 41. #14583475 | C22 | semidirect |
| 42. #14583473 | C22 | semidirect |
| 51. #14582917 | C22 | semidirect |
| 53. #14582915 | C22 | semidirect |
| 54. #14582909 | C22 | semidirect |
| 57. C2×#13063243 | C22 | semidirect |
| 60. #14582867 | C22 | semidirect |
| 61. #14582867 | C22 | semidirect |
| 62. #14582670 | C22 | semidirect |
| 63. #14582663 | C22 | semidirect |
| 67. C43×#419 | C22 | semidirect |
| 68. C2×#101×C43 | C22 | semidirect |
| 69. C43×#344 | C22 | semidirect |
| 70. C43×#338 | C22 | semidirect |
| 503. #1902 | D43 | semidirect |
| 558. #419 | C2×D43 | semidirect |
| 562. C2×#101 | C2×D43 | semidirect |
| 568. #344 | C2×D43 | semidirect |
| 570. #338 | C2×D43 | semidirect |
| 571. C43 | #23893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149383 | 2 |
| #19149378 | 2 |
| #19143962 | 2 |
| #19143961 | 2 |
| #19143891 | 2 |
| #19143889 | 2 |
| #19135715 | 2 |
| #19135700 | 2 |
| #19135658 | 2 |
| #19135657 | 2 |
| #19135069 | 2 |
| #19134957 | 2 |
| #19134956 | 2 |
| #19134557 | 2 |
| C43×#1902 | 2 |
| #23893 | 43 |