Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
1989 conjugacy classes of subgroups.
The subgroup lattice has 1178 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #6380164 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#13174 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#12955 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C2×#12948 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #494315 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×#12651 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #370282 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #149247 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #149199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #148766 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #148718 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #147246 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #147126 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #146795 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #146764 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | C2×#2957 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×#444 | C22 | 1 | 1 | yes | characteristic |
| 18 | #60167 | C22 | 1 | 1 | yes | characteristic |
| 19 | #60100 | — | 2 | 1 | no | — |
| 20 | C2×#2159 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×#365 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×#365 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#2148 | C22 | 1 | 1 | yes | characteristic |
| 24 | C22×#360 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#2143 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#2139 | C22 | 1 | 1 | yes | characteristic |
| 27 | C22×#347 | C22 | 1 | 1 | yes | characteristic |
| 28 | #22687 | — | 2 | 2 | no | — |
| 29 | #22687 | — | 2 | 2 | no | — |
| 30 | #22686 | — | 2 | 2 | no | — |
| 31 | #22686 | — | 2 | 2 | no | — |
| 32 | C2×#1952 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#1951 | C22 | 1 | 1 | yes | characteristic |
| 34 | #21163 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#1946 | C22 | 1 | 1 | yes | characteristic |
| 36 | #21159 | — | 2 | 1 | no | — |
| 37 | C2×#1943 | C22 | 1 | 1 | yes | characteristic |
| 38 | #20885 | — | 2 | 1 | no | — |
| 39 | #20884 | — | 2 | 1 | no | — |
| 40 | #20807 | C22 | 1 | 1 | yes | characteristic |
| 41 | #20655 | — | 2 | 1 | no | — |
| 42 | C2×#1778 | C22 | 1 | 1 | yes | characteristic |
| 43 | #20436 | C22 | 1 | 1 | yes | characteristic |
| 44 | #13174 | — | 2 | 2 | no | — |
| 45 | #13174 | — | 2 | 2 | no | — |
| 46 | #12955 | — | 2 | 2 | no | — |
| 47 | #12955 | — | 2 | 2 | no | — |
| 48 | #12948 | — | 2 | 4 | no | — |
| 49 | #12946 | C4 | 1 | 4 | yes | complemented |
| 50 | #12945 | C4 | 1 | 4 | yes | complemented |
| 51 | #12651 | — | 2 | 4 | no | — |
| 52 | C2×#1388 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#1388 | C22 | 1 | 1 | yes | characteristic |
| 54 | #12569 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#1387 | C22 | 1 | 1 | yes | characteristic |
| 56 | C2×#1387 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#1386 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#1385 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#1385 | C22 | 1 | 1 | yes | characteristic |
| 60 | #12561 | C22 | 1 | 1 | yes | characteristic |
| 61 | #12554 | C22 | 1 | 1 | yes | characteristic |
| 62 | #12554 | C22 | 1 | 1 | yes | characteristic |
| 63 | C2×#1378 | C22 | 1 | 1 | yes | characteristic |
| 64 | C2×#1378 | C22 | 1 | 1 | yes | characteristic |
| 65 | C2×#1375 | C22 | 1 | 1 | yes | characteristic |
| 66 | #11290 | — | 2 | 1 | no | — |
| 67 | #11216 | — | 2 | 1 | no | — |
| 68 | #10913 | — | 2 | 1 | no | — |
| 69 | #10870 | C22 | 1 | 1 | yes | characteristic |
| 70 | #10869 | C22 | 1 | 1 | yes | characteristic |
| 71 | C22×#135 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#568 | — | 2 | 1 | no | — |
| 73 | C22×#131 | — | 2 | 1 | no | — |
| 74 | #3428 | — | 2 | 1 | no | — |
| 75 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 77 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 79 | #2957 | — | 2 | 2 | no | — |
| 80 | #2957 | — | 2 | 2 | no | — |
| 81 | #2957 | — | 4 | 1 | no | — |
| 82 | #2957 | — | 4 | 1 | no | — |
| 83 | C2×#444 | — | 2 | 1 | no | — |
| 84 | C2×#444 | — | 2 | 1 | no | — |
| 85 | C2×#444 | — | 2 | 2 | no | — |
| 86 | C2×#444 | — | 2 | 2 | no | — |
| 87 | C2×#444 | — | 2 | 2 | no | — |
| 88 | C2×#444 | — | 4 | 1 | no | — |
| 89 | C2×#444 | — | 4 | 1 | no | — |
| 90 | C2×#444 | D4 | 1 | 2 | yes | — |
| 91 | C2×#444 | D4 | 1 | 2 | yes | — |
| 92 | C2×#443 | — | 2 | 2 | no | — |
| 93 | #2952 | — | 2 | 2 | no | — |
| 94 | #2951 | C2×C4 | 1 | 2 | yes | — |
| 95 | #2951 | C2×C4 | 1 | 2 | yes | — |
| 96 | #2950 | — | 2 | 1 | no | — |
| 97 | #2949 | — | 2 | 2 | no | — |
| 98 | #2948 | — | 2 | 1 | no | — |
| 99 | #2943 | — | 2 | 2 | no | — |
| 100 | C4×#135 | — | 2 | 2 | no | — |
| 101 | C2×#430 | — | 2 | 1 | no | — |
| 102 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 104 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 105 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×#428 | — | 2 | 1 | no | — |
| 107 | C2×#428 | — | 2 | 1 | no | — |
| 108 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 109 | C22×#107 | C23 | 1 | 1 | yes | characteristic |
| 110 | C22×#106 | C23 | 1 | 1 | yes | characteristic |
| 111 | #2906 | — | 2 | 4 | no | — |
| 112 | #2906 | — | 2 | 4 | no | — |
| 113 | #2906 | — | 4 | 2 | no | — |
| 114 | #2906 | — | 4 | 2 | no | — |
| 115 | #2905 | — | 2 | 1 | no | — |
| 116 | #2905 | — | 2 | 1 | no | — |
| 117 | #2905 | — | 4 | 2 | no | — |
| 118 | C2×#424 | — | 2 | 1 | no | — |
| 119 | C2×#424 | — | 4 | 2 | no | — |
| 120 | C2×#424 | D4 | 1 | 1 | yes | characteristic |
| 121 | C2×#421 | — | 2 | 1 | no | — |
| 122 | C22×#104 | — | 2 | 1 | no | — |
| 123 | #2896 | — | 2 | 1 | no | — |
| 124 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 126 | C2×C4×M16 | — | 2 | 1 | no | — |
| 127 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 128 | #2296 | D4 | 1 | 1 | yes | characteristic |
| 129 | C2×#389 | — | 2 | 1 | no | — |
| 130 | #2159 | — | 2 | 2 | no | — |
| 131 | #2159 | — | 2 | 2 | no | — |
| 132 | C2×#367 | C2×C4 | 1 | 2 | yes | — |
| 133 | C2×#366 | C2×C4 | 1 | 2 | yes | — |
| 134 | C2×#365 | — | 2 | 2 | no | — |
| 135 | C2×#365 | — | 2 | 2 | no | — |
| 136 | C2×#365 | — | 2 | 2 | no | — |
| 137 | C2×#365 | — | 4 | 1 | no | — |
| 138 | C2×#365 | — | 4 | 1 | no | — |
| 139 | C2×#365 | — | 4 | 1 | no | — |
| 140 | #2148 | — | 2 | 2 | no | — |
| 141 | #2148 | Q8 | 1 | 4 | yes | — |
| 142 | C2×#362 | — | 2 | 1 | no | — |
| 143 | C2×#361 | — | 2 | 1 | no | — |
| 144 | C2×#360 | — | 2 | 2 | no | — |
| 145 | C2×#360 | — | 2 | 2 | no | — |
| 146 | C2×#360 | — | 2 | 2 | no | — |
| 147 | #2143 | D4 | 1 | 4 | yes | — |
| 148 | #2143 | Q8 | 1 | 4 | yes | — |
| 149 | C2×#359 | C2×C4 | 1 | 4 | yes | — |
| 150 | #2139 | — | 2 | 2 | no | — |
| 151 | #2139 | C2×C4 | 1 | 4 | yes | — |
| 152 | C2×#358 | — | 2 | 1 | no | — |
| 153 | C2×#357 | — | 2 | 1 | no | — |
| 154 | C2×#347 | — | 2 | 2 | no | — |
| 155 | C2×#347 | — | 2 | 1 | no | — |
| 156 | C2×#347 | — | 2 | 1 | no | — |
| 157 | C2×#347 | — | 4 | 1 | no | — |
| 158 | #1952 | — | 2 | 2 | no | — |
| 159 | #1952 | C2×C4 | 1 | 4 | yes | — |
| 160 | #1951 | — | 2 | 2 | no | — |
| 161 | #1951 | — | 4 | 1 | no | — |
| 162 | #1946 | — | 2 | 2 | no | — |
| 163 | #1946 | — | 2 | 1 | no | — |
| 164 | #1946 | — | 2 | 1 | no | — |
| 165 | #1946 | D4 | 1 | 2 | yes | — |
| 166 | #1946 | D4 | 1 | 2 | yes | — |
| 167 | #1945 | — | 2 | 2 | no | — |
| 168 | #1944 | — | 4 | 1 | no | — |
| 169 | #1943 | — | 2 | 1 | no | — |
| 170 | #1943 | — | 2 | 1 | no | — |
| 171 | #1943 | — | 2 | 1 | no | — |
| 172 | #1943 | — | 2 | 1 | no | — |
| 173 | #1943 | — | 4 | 1 | no | — |
| 174 | #1942 | — | 4 | 1 | no | — |
| 175 | #1941 | — | 4 | 1 | no | — |
| 176 | #1866 | — | 2 | 4 | no | — |
| 177 | #1866 | — | 2 | 4 | no | — |
| 178 | #1866 | — | 2 | 4 | no | — |
| 179 | #1866 | — | 2 | 4 | no | — |
| 180 | #1849 | — | 2 | 2 | no | — |
| 181 | #1848 | — | 2 | 2 | no | — |
| 182 | #1806 | — | 2 | 4 | no | — |
| 183 | #1806 | — | 2 | 4 | no | — |
| 184 | #1778 | — | 2 | 2 | no | — |
| 185 | #1778 | — | 4 | 1 | no | — |
| 186 | #1771 | — | 2 | 1 | no | — |
| 187 | #1771 | — | 2 | 1 | no | — |
| 188 | #1770 | — | 2 | 1 | no | — |
| 189 | #1770 | — | 2 | 1 | no | — |
| 190 | C2×#343 | — | 2 | 1 | no | — |
| 191 | C2×#343 | — | 2 | 1 | no | — |
| 192 | C2×#343 | — | 2 | 1 | no | — |
| 193 | C2×#343 | — | 2 | 1 | no | — |
| 194 | C2×#341 | — | 2 | 1 | no | — |
| 195 | #1736 | — | 2 | 1 | no | — |
| 196 | #1736 | — | 2 | 1 | no | — |
| 197 | C2×#340 | — | 2 | 1 | no | — |
| 198 | #1733 | — | 2 | 1 | no | — |
| 199 | C2×#339 | — | 2 | 1 | no | — |
| 200 | #1729 | D4 | 1 | 1 | yes | characteristic |
| 201 | #1728 | D4 | 1 | 1 | yes | characteristic |
| 202 | #1388 | — | 2 | 2 | no | — |
| 203 | #1388 | — | 4 | 1 | no | — |
| 204 | #1387 | — | 2 | 2 | no | — |
| 205 | #1387 | — | 2 | 2 | no | — |
| 206 | #1387 | C2×C4 | 1 | 2 | yes | — |
| 207 | #1387 | C2×C4 | 1 | 2 | yes | — |
| 208 | #1386 | — | 2 | 2 | no | — |
| 209 | #1385 | — | 2 | 2 | no | — |
| 210 | #1385 | — | 2 | 2 | no | — |
| 211 | #1382 | — | 2 | 2 | no | — |
| 212 | #1379 | — | 2 | 2 | no | — |
| 213 | #1379 | C2×C4 | 1 | 4 | yes | — |
| 214 | #1378 | — | 2 | 2 | no | — |
| 215 | #1378 | — | 4 | 1 | no | — |
| 216 | #1375 | — | 2 | 1 | no | — |
| 217 | #1375 | — | 2 | 1 | no | — |
| 218 | C22×#41 | — | 2 | 1 | no | — |
| 219 | C2×#135 | — | 2 | 1 | no | — |
| 220 | C2×#135 | — | 2 | 1 | no | — |
| 221 | C2×#135 | — | 2 | 1 | no | — |
| 222 | C2×#135 | — | 2 | 1 | no | — |
| 223 | C2×#135 | — | 2 | 1 | no | — |
| 224 | C2×#135 | — | 2 | 1 | no | — |
| 225 | C2×#135 | C22×C4 | 1 | 2 | yes | — |
| 226 | C2×#135 | C2×D4 | 1 | 2 | yes | — |
| 227 | C2×#135 | C2×D4 | 1 | 2 | yes | — |
| 228 | C2×#135 | C2×Q8 | 1 | 2 | yes | — |
| 229 | C2×#135 | C2×Q8 | 1 | 2 | yes | — |
| 230 | C2×#135 | #41 | 1 | 2 | yes | — |
| 231 | C22×Q16 | #41 | 1 | 1 | yes | characteristic |
| 232 | C22×SD16 | — | 2 | 1 | no | — |
| 233 | C22×D8 | #41 | 1 | 1 | yes | characteristic |
| 234 | #568 | — | 4 | 2 | no | — |
| 235 | #568 | — | 4 | 2 | no | — |
| 236 | #568 | — | 8 | 1 | no | — |
| 237 | #568 | — | 8 | 1 | no | — |
| 238 | C2×#131 | — | 2 | 4 | no | — |
| 239 | C2×#131 | — | 2 | 2 | no | — |
| 240 | C2×#131 | — | 2 | 2 | no | — |
| 241 | C2×#131 | — | 4 | 1 | no | — |
| 242 | C2×#131 | — | 4 | 1 | no | — |
| 243 | C2×#131 | — | 4 | 2 | no | — |
| 244 | C2×#131 | — | 4 | 2 | no | — |
| 245 | C2×#131 | — | 4 | 2 | no | — |
| 246 | C2×#131 | — | 8 | 1 | no | — |
| 247 | C2×#131 | — | 8 | 1 | no | — |
| 248 | C22×M16 | — | 2 | 1 | no | — |
| 249 | C22×M16 | — | 2 | 1 | no | — |
| 250 | C22×M16 | — | 2 | 1 | no | — |
| 251 | C22×M16 | — | 2 | 1 | no | — |
| 252 | C22×M16 | — | 4 | 1 | no | — |
| 253 | C22×M16 | — | 4 | 2 | no | — |
| 254 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C23×C8 | — | 4 | 1 | no | — |
| 257 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 259 | #520 | — | 2 | 2 | no | — |
| 260 | #520 | — | 2 | 2 | no | — |
| 261 | #520 | — | 4 | 1 | no | — |
| 262 | #520 | — | 4 | 1 | no | — |
| 263 | #519 | — | 2 | 2 | no | — |
| 264 | #518 | — | 2 | 2 | no | — |
| 265 | #518 | — | 4 | 2 | no | — |
| 266 | C4×#41 | — | 2 | 4 | no | — |
| 267 | C4×#41 | — | 4 | 2 | no | — |
| 268 | C2×#117 | — | 2 | 1 | no | — |
| 269 | C2×#117 | — | 4 | 2 | no | — |
| 270 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 271 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 273 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 274 | C22×C4⋊C4 | — | 4 | 1 | no | — |
| 275 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×M32 | — | 2 | 1 | no | — |
| 277 | C2×M32 | — | 2 | 1 | no | — |
| 278 | C2×M32 | — | 2 | 1 | no | — |
| 279 | C2×M32 | — | 2 | 1 | no | — |
| 280 | C2×M32 | — | 2 | 1 | no | — |
| 281 | C2×M32 | — | 2 | 1 | no | — |
| 282 | C2×M32 | — | 2 | 1 | no | — |
| 283 | C2×M32 | — | 2 | 1 | no | — |
| 284 | C2×M32 | — | 2 | 1 | no | — |
| 285 | C2×M32 | — | 2 | 1 | no | — |
| 286 | C2×M32 | — | 2 | 1 | no | — |
| 287 | C2×M32 | — | 2 | 1 | no | — |
| 288 | C2×M32 | — | 2 | 1 | no | — |
| 289 | C2×M32 | — | 2 | 1 | no | — |
| 290 | C2×M32 | — | 2 | 1 | no | — |
| 291 | C2×M32 | — | 2 | 1 | no | — |
| 292 | C2×M32 | — | 2 | 1 | no | — |
| 293 | C2×M32 | — | 2 | 1 | no | — |
| 294 | C2×M32 | — | 2 | 1 | no | — |
| 295 | C2×M32 | — | 2 | 1 | no | — |
| 296 | C2×M32 | C22×C4 | 1 | 2 | yes | — |
| 297 | C2×M32 | C2×D4 | 1 | 2 | yes | — |
| 298 | C2×M32 | C2×Q8 | 1 | 2 | yes | — |
| 299 | C2×M32 | C2×Q8 | 1 | 2 | yes | — |
| 300 | C22×C16 | — | 2 | 1 | no | — |
| 301 | C22×C16 | — | 2 | 1 | no | — |
| 302 | C22×C16 | — | 2 | 1 | no | — |
| 303 | C22×C16 | C22×C4 | 1 | 2 | yes | — |
| 304 | #444 | — | 2 | 4 | no | — |
| 305 | #444 | — | 2 | 4 | no | — |
| 306 | #444 | — | 4 | 2 | no | — |
| 307 | #444 | — | 4 | 2 | no | — |
| 308 | #444 | — | 4 | 2 | no | — |
| 309 | #444 | — | 4 | 2 | no | — |
| 310 | #444 | — | 4 | 2 | no | — |
| 311 | #444 | — | 4 | 2 | no | — |
| 312 | #444 | — | 4 | 4 | no | — |
| 313 | #444 | — | 4 | 4 | no | — |
| 314 | #443 | — | 4 | 4 | no | — |
| 315 | #443 | — | 4 | 4 | no | — |
| 316 | #442 | — | 2 | 4 | no | — |
| 317 | #441 | — | 2 | 4 | no | — |
| 318 | #440 | — | 2 | 4 | no | — |
| 319 | #440 | — | 2 | 4 | no | — |
| 320 | C4×Q16 | — | 2 | 2 | no | — |
| 321 | C4×Q16 | — | 2 | 2 | no | — |
| 322 | C4×SD16 | — | 2 | 4 | no | — |
| 323 | C4×SD16 | — | 2 | 4 | no | — |
| 324 | C4×D8 | — | 2 | 2 | no | — |
| 325 | C4×D8 | — | 2 | 2 | no | — |
| 326 | #430 | — | 8 | 1 | no | — |
| 327 | #430 | — | 8 | 1 | no | — |
| 328 | C2×#108 | — | 2 | 1 | no | — |
| 329 | C2×#108 | — | 2 | 1 | no | — |
| 330 | C2×#108 | — | 2 | 1 | no | — |
| 331 | C2×#108 | — | 2 | 1 | no | — |
| 332 | C2×#108 | — | 2 | 1 | no | — |
| 333 | C2×#108 | — | 2 | 1 | no | — |
| 334 | C2×#108 | — | 2 | 1 | no | — |
| 335 | C2×#108 | — | 2 | 1 | no | — |
| 336 | C2×#108 | — | 2 | 1 | no | — |
| 337 | C2×#108 | — | 2 | 1 | no | — |
| 338 | C2×#108 | — | 2 | 1 | no | — |
| 339 | C2×#108 | — | 2 | 1 | no | — |
| 340 | C2×#108 | — | 2 | 1 | no | — |
| 341 | C2×#108 | — | 2 | 1 | no | — |
| 342 | C2×#108 | — | 2 | 1 | no | — |
| 343 | C2×#108 | — | 2 | 1 | no | — |
| 344 | C2×#108 | — | 2 | 1 | no | — |
| 345 | C2×#108 | — | 2 | 1 | no | — |
| 346 | C2×#108 | — | 2 | 4 | no | — |
| 347 | C2×#108 | C22×C4 | 1 | 2 | yes | — |
| 348 | C2×#108 | C2×D4 | 1 | 2 | yes | — |
| 349 | C2×#108 | C2×D4 | 1 | 2 | yes | — |
| 350 | C2×#108 | C2×D4 | 1 | 2 | yes | — |
| 351 | C2×#108 | C2×Q8 | 1 | 2 | yes | — |
| 352 | C2×#108 | C2×Q8 | 1 | 2 | yes | — |
| 353 | #428 | — | 2 | 4 | no | — |
| 354 | #428 | — | 4 | 2 | no | — |
| 355 | #428 | — | 4 | 2 | no | — |
| 356 | #428 | — | 8 | 1 | no | — |
| 357 | #427 | — | 2 | 1 | no | — |
| 358 | #427 | — | 2 | 1 | no | — |
| 359 | #427 | C2×D4 | 1 | 2 | yes | — |
| 360 | #427 | #41 | 1 | 2 | yes | — |
| 361 | C2×#107 | — | 2 | 1 | no | — |
| 362 | C2×#107 | — | 2 | 1 | no | — |
| 363 | C2×#107 | — | 2 | 1 | no | — |
| 364 | C2×#107 | — | 2 | 1 | no | — |
| 365 | C2×#107 | — | 2 | 1 | no | — |
| 366 | C2×#107 | — | 4 | 1 | no | — |
| 367 | C2×#107 | — | 4 | 1 | no | — |
| 368 | C2×#107 | C22×C4 | 1 | 2 | yes | — |
| 369 | C2×#107 | C22×C4 | 1 | 1 | yes | characteristic |
| 370 | C2×#107 | C22×C4 | 1 | 1 | yes | characteristic |
| 371 | C2×#106 | — | 2 | 1 | no | — |
| 372 | C2×#106 | — | 2 | 1 | no | — |
| 373 | C2×#106 | — | 2 | 1 | no | — |
| 374 | C2×#106 | — | 2 | 1 | no | — |
| 375 | C2×#106 | — | 2 | 1 | no | — |
| 376 | C2×#106 | — | 2 | 1 | no | — |
| 377 | C2×#106 | — | 2 | 1 | no | — |
| 378 | C2×#106 | — | 4 | 1 | no | — |
| 379 | C2×#106 | — | 4 | 1 | no | — |
| 380 | #424 | — | 2 | 2 | no | — |
| 381 | #424 | — | 2 | 2 | no | — |
| 382 | #424 | — | 2 | 4 | no | — |
| 383 | #424 | — | 2 | 2 | no | — |
| 384 | #424 | — | 2 | 2 | no | — |
| 385 | #424 | — | 4 | 4 | no | — |
| 386 | #424 | — | 4 | 4 | no | — |
| 387 | #424 | — | 4 | 4 | no | — |
| 388 | #424 | — | 4 | 4 | no | — |
| 389 | #424 | — | 4 | 2 | no | — |
| 390 | #424 | — | 4 | 1 | no | — |
| 391 | #424 | — | 4 | 1 | no | — |
| 392 | #424 | — | 4 | 2 | no | — |
| 393 | #424 | — | 4 | 2 | no | — |
| 394 | #423 | — | 2 | 4 | no | — |
| 395 | #423 | — | 4 | 4 | no | — |
| 396 | #423 | — | 4 | 4 | no | — |
| 397 | #423 | — | 4 | 2 | no | — |
| 398 | C2×C4⋊C8 | — | 2 | 1 | no | — |
| 399 | C2×C4⋊C8 | — | 2 | 1 | no | — |
| 400 | C2×C4⋊C8 | — | 4 | 4 | no | — |
| 401 | C2×C4⋊C8 | — | 4 | 4 | no | — |
| 402 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 403 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 404 | #421 | — | 4 | 2 | no | — |
| 405 | #421 | — | 4 | 2 | no | — |
| 406 | C2×#104 | — | 2 | 4 | no | — |
| 407 | C2×#104 | — | 2 | 2 | no | — |
| 408 | C2×#104 | — | 2 | 2 | no | — |
| 409 | C2×#104 | — | 4 | 2 | no | — |
| 410 | C2×#104 | — | 4 | 2 | no | — |
| 411 | #419 | — | 2 | 2 | no | — |
| 412 | #418 | — | 2 | 2 | no | — |
| 413 | #417 | — | 2 | 2 | no | — |
| 414 | #417 | — | 2 | 2 | no | — |
| 415 | #416 | — | 2 | 4 | no | — |
| 416 | #405 | — | 2 | 1 | no | — |
| 417 | #405 | — | 2 | 1 | no | — |
| 418 | #405 | — | 2 | 1 | no | — |
| 419 | #405 | — | 2 | 1 | no | — |
| 420 | #405 | — | 2 | 1 | no | — |
| 421 | #405 | — | 2 | 1 | no | — |
| 422 | #405 | C22×C4 | 1 | 2 | yes | — |
| 423 | #405 | #41 | 1 | 2 | yes | — |
| 424 | C4×M16 | — | 4 | 2 | no | — |
| 425 | C4×M16 | — | 8 | 1 | no | — |
| 426 | C2×#97 | — | 2 | 1 | no | — |
| 427 | C2×#97 | — | 2 | 1 | no | — |
| 428 | C2×#97 | — | 2 | 1 | no | — |
| 429 | C2×#97 | — | 2 | 1 | no | — |
| 430 | C2×#97 | — | 2 | 1 | no | — |
| 431 | C2×#97 | — | 2 | 1 | no | — |
| 432 | C2×#97 | — | 4 | 1 | no | — |
| 433 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 434 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 435 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 436 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 437 | C2×C4×C8 | — | 2 | 1 | no | — |
| 438 | C2×C4×C8 | — | 2 | 1 | no | — |
| 439 | C2×C4×C8 | — | 4 | 1 | no | — |
| 440 | #389 | — | 2 | 1 | no | — |
| 441 | #389 | — | 2 | 1 | no | — |
| 442 | #389 | — | 4 | 1 | no | — |
| 443 | #389 | — | 4 | 1 | no | — |
| 444 | #389 | — | 4 | 1 | no | — |
| 445 | #389 | — | 4 | 1 | no | — |
| 446 | #385 | — | 4 | 1 | no | — |
| 447 | C4×C4⋊C4 | — | 2 | 1 | no | — |
| 448 | C4×C4⋊C4 | — | 2 | 1 | no | — |
| 449 | C2×#95 | — | 4 | 1 | no | — |
| 450 | #367 | — | 2 | 4 | no | — |
| 451 | #366 | — | 2 | 4 | no | — |
| 452 | #365 | — | 4 | 4 | no | — |
| 453 | #365 | — | 4 | 4 | no | — |
| 454 | #362 | — | 2 | 4 | no | — |
| 455 | #361 | — | 2 | 4 | no | — |
| 456 | #360 | — | 4 | 4 | no | — |
| 457 | #359 | C4⋊C4 | 1 | 16 | yes | complemented |
| 458 | #358 | — | 2 | 4 | no | — |
| 459 | #357 | — | 2 | 4 | no | — |
| 460 | #347 | — | 4 | 2 | no | — |
| 461 | #347 | — | 4 | 2 | no | — |
| 462 | #343 | — | 2 | 4 | no | — |
| 463 | #343 | — | 4 | 2 | no | — |
| 464 | #343 | — | 4 | 2 | no | — |
| 465 | #343 | — | 8 | 1 | no | — |
| 466 | #341 | — | 4 | 2 | no | — |
| 467 | #340 | — | 4 | 1 | no | — |
| 468 | #340 | — | 4 | 1 | no | — |
| 469 | #340 | — | 4 | 1 | no | — |
| 470 | #340 | — | 4 | 1 | no | — |
| 471 | #340 | — | 4 | 1 | no | — |
| 472 | #340 | — | 4 | 1 | no | — |
| 473 | #339 | — | 2 | 4 | no | — |
| 474 | #339 | — | 2 | 2 | no | — |
| 475 | #339 | — | 2 | 2 | no | — |
| 476 | #336 | — | 2 | 1 | no | — |
| 477 | #336 | — | 2 | 1 | no | — |
| 478 | #336 | — | 2 | 1 | no | — |
| 479 | #336 | — | 2 | 1 | no | — |
| 480 | C2×#41 | — | 2 | 2 | no | — |
| 481 | C2×#41 | — | 2 | 2 | no | — |
| 482 | C2×#41 | — | 2 | 2 | no | — |
| 483 | C2×#41 | — | 2 | 2 | no | — |
| 484 | C2×#41 | — | 2 | 2 | no | — |
| 485 | C2×#41 | — | 2 | 2 | no | — |
| 486 | C2×#41 | — | 4 | 1 | no | — |
| 487 | C2×#41 | — | 4 | 1 | no | — |
| 488 | C2×#41 | — | 4 | 1 | no | — |
| 489 | C2×#41 | — | 4 | 1 | no | — |
| 490 | C2×#41 | — | 4 | 1 | no | — |
| 491 | C2×#41 | — | 4 | 1 | no | — |
| 492 | C22×Q8 | — | 2 | 1 | no | — |
| 493 | C22×D4 | — | 2 | 1 | no | — |
| 494 | C22×D4 | — | 4 | 1 | no | — |
| 495 | C23×C4 | — | 2 | 1 | no | — |
| 496 | C23×C4 | — | 4 | 1 | no | — |
| 497 | C23×C4 | — | 4 | 1 | no | — |
| 498 | C23×C4 | — | 4 | 1 | no | — |
| 499 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 500 | #135 | — | 2 | 2 | no | — |
| 501 | #135 | — | 2 | 2 | no | — |
| 502 | #135 | — | 2 | 2 | no | — |
| 503 | #135 | — | 2 | 2 | no | — |
| 504 | #135 | — | 2 | 2 | no | — |
| 505 | #135 | — | 2 | 2 | no | — |
| 506 | #135 | — | 2 | 2 | no | — |
| 507 | #135 | — | 2 | 2 | no | — |
| 508 | #135 | — | 2 | 2 | no | — |
| 509 | #135 | — | 2 | 2 | no | — |
| 510 | #135 | — | 2 | 2 | no | — |
| 511 | #135 | — | 2 | 2 | no | — |
| 512 | #135 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 513 | #135 | C4×Q8 | 1 | 4 | yes | — |
| 514 | #135 | #121 | 1 | 4 | yes | — |
| 515 | #135 | C4⋊Q8 | 1 | 4 | yes | — |
| 516 | C2×Q16 | — | 2 | 1 | no | — |
| 517 | C2×Q16 | — | 2 | 1 | no | — |
| 518 | C2×Q16 | — | 2 | 1 | no | — |
| 519 | C2×Q16 | C4×D4 | 1 | 2 | yes | — |
| 520 | C2×Q16 | C22⋊Q8 | 1 | 2 | yes | — |
| 521 | C2×Q16 | #125 | 1 | 2 | yes | — |
| 522 | C2×SD16 | — | 2 | 2 | no | — |
| 523 | C2×SD16 | — | 2 | 2 | no | — |
| 524 | C2×SD16 | — | 2 | 2 | no | — |
| 525 | C2×SD16 | — | 2 | 2 | no | — |
| 526 | C2×SD16 | — | 2 | 2 | no | — |
| 527 | C2×SD16 | — | 2 | 2 | no | — |
| 528 | C2×D8 | — | 2 | 1 | no | — |
| 529 | C2×D8 | — | 2 | 1 | no | — |
| 530 | C2×D8 | — | 2 | 1 | no | — |
| 531 | C2×D8 | C4×D4 | 1 | 2 | yes | — |
| 532 | C2×D8 | C22⋊Q8 | 1 | 2 | yes | — |
| 533 | C2×D8 | #125 | 1 | 2 | yes | — |
| 534 | #131 | — | 4 | 4 | no | — |
| 535 | #131 | — | 4 | 4 | no | — |
| 536 | #131 | — | 4 | 8 | no | — |
| 537 | #131 | — | 8 | 2 | no | — |
| 538 | #131 | — | 8 | 2 | no | — |
| 539 | #131 | — | 8 | 4 | no | — |
| 540 | #131 | — | 8 | 2 | no | — |
| 541 | #131 | — | 8 | 2 | no | — |
| 542 | #131 | — | 8 | 2 | no | — |
| 543 | #131 | — | 8 | 2 | no | — |
| 544 | #131 | — | 8 | 4 | no | — |
| 545 | #131 | — | 8 | 4 | no | — |
| 546 | C2×M16 | — | 2 | 1 | no | — |
| 547 | C2×M16 | — | 2 | 1 | no | — |
| 548 | C2×M16 | — | 2 | 2 | no | — |
| 549 | C2×M16 | — | 2 | 2 | no | — |
| 550 | C2×M16 | — | 2 | 1 | no | — |
| 551 | C2×M16 | — | 2 | 1 | no | — |
| 552 | C2×M16 | — | 2 | 2 | no | — |
| 553 | C2×M16 | — | 2 | 1 | no | — |
| 554 | C2×M16 | — | 2 | 1 | no | — |
| 555 | C2×M16 | — | 2 | 1 | no | — |
| 556 | C2×M16 | — | 2 | 1 | no | — |
| 557 | C2×M16 | — | 2 | 1 | no | — |
| 558 | C2×M16 | — | 2 | 1 | no | — |
| 559 | C2×M16 | — | 2 | 2 | no | — |
| 560 | C2×M16 | — | 2 | 2 | no | — |
| 561 | C2×M16 | — | 2 | 2 | no | — |
| 562 | C2×M16 | — | 4 | 2 | no | — |
| 563 | C2×M16 | — | 4 | 2 | no | — |
| 564 | C2×M16 | — | 4 | 4 | no | — |
| 565 | C2×M16 | — | 4 | 1 | no | — |
| 566 | C2×M16 | — | 4 | 1 | no | — |
| 567 | C2×M16 | — | 4 | 1 | no | — |
| 568 | C2×M16 | — | 4 | 1 | no | — |
| 569 | C2×M16 | — | 4 | 1 | no | — |
| 570 | C2×M16 | — | 4 | 1 | no | — |
| 571 | C2×M16 | — | 4 | 1 | no | — |
| 572 | C2×M16 | — | 4 | 1 | no | — |
| 573 | C2×M16 | — | 4 | 1 | no | — |
| 574 | C2×M16 | — | 4 | 1 | no | — |
| 575 | C2×M16 | — | 4 | 1 | no | — |
| 576 | C2×M16 | — | 4 | 1 | no | — |
| 577 | C2×M16 | — | 4 | 1 | no | — |
| 578 | C2×M16 | — | 4 | 1 | no | — |
| 579 | C2×M16 | — | 4 | 1 | no | — |
| 580 | C2×M16 | — | 4 | 1 | no | — |
| 581 | C2×M16 | — | 4 | 1 | no | — |
| 582 | C2×M16 | — | 4 | 1 | no | — |
| 583 | C2×M16 | — | 8 | 2 | no | — |
| 584 | C2×M16 | — | 8 | 2 | no | — |
| 585 | C2×M16 | — | 8 | 4 | no | — |
| 586 | C2×M16 | — | 8 | 4 | no | — |
| 587 | C2×M16 | C4×D4 | 1 | 2 | yes | — |
| 588 | C2×M16 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 589 | C22×C8 | — | 2 | 1 | no | — |
| 590 | C22×C8 | — | 2 | 1 | no | — |
| 591 | C22×C8 | — | 2 | 1 | no | — |
| 592 | C22×C8 | — | 2 | 1 | no | — |
| 593 | C22×C8 | — | 2 | 1 | no | — |
| 594 | C22×C8 | — | 2 | 1 | no | — |
| 595 | C22×C8 | — | 2 | 1 | no | — |
| 596 | C22×C8 | — | 2 | 1 | no | — |
| 597 | C22×C8 | — | 4 | 2 | no | — |
| 598 | C22×C8 | — | 4 | 2 | no | — |
| 599 | C22×C8 | — | 4 | 4 | no | — |
| 600 | C22×C8 | — | 4 | 1 | no | — |
| 601 | C22×C8 | — | 4 | 1 | no | — |
| 602 | C22×C8 | — | 4 | 1 | no | — |
| 603 | C22×C8 | — | 4 | 1 | no | — |
| 604 | C22×C8 | — | 8 | 2 | no | — |
| 605 | C22×C8 | — | 8 | 2 | no | — |
| 606 | C22×C8 | #120 | 1 | 1 | yes | characteristic |
| 607 | C22×C8 | #120 | 1 | 1 | yes | characteristic |
| 608 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 609 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 610 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 611 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 612 | C22×C8 | C22×Q8 | 1 | 1 | yes | characteristic |
| 613 | C22×C8 | C22×Q8 | 1 | 1 | yes | characteristic |
| 614 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 615 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 616 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 617 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 618 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 619 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 620 | C22×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 621 | C22×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 622 | C4×Q8 | — | 2 | 4 | no | — |
| 623 | C4×Q8 | — | 2 | 4 | no | — |
| 624 | C4×Q8 | — | 4 | 2 | no | — |
| 625 | C4×Q8 | — | 4 | 2 | no | — |
| 626 | C4×D4 | — | 2 | 4 | no | — |
| 627 | C4×D4 | — | 2 | 4 | no | — |
| 628 | C4×D4 | — | 4 | 4 | no | — |
| 629 | C4×D4 | — | 4 | 4 | no | — |
| 630 | C4×D4 | — | 4 | 2 | no | — |
| 631 | C4×D4 | — | 4 | 2 | no | — |
| 632 | C4×D4 | — | 4 | 4 | no | — |
| 633 | C4×D4 | — | 4 | 4 | no | — |
| 634 | #117 | — | 2 | 1 | no | — |
| 635 | #117 | — | 2 | 1 | no | — |
| 636 | #117 | — | 2 | 2 | no | — |
| 637 | #117 | — | 2 | 2 | no | — |
| 638 | #117 | — | 2 | 1 | no | — |
| 639 | #117 | — | 2 | 1 | no | — |
| 640 | #117 | — | 2 | 1 | no | — |
| 641 | #117 | — | 2 | 1 | no | — |
| 642 | #117 | — | 4 | 4 | no | — |
| 643 | #117 | — | 4 | 4 | no | — |
| 644 | #117 | — | 4 | 1 | no | — |
| 645 | #117 | — | 4 | 1 | no | — |
| 646 | #117 | — | 4 | 2 | no | — |
| 647 | #117 | — | 4 | 2 | no | — |
| 648 | #117 | C4×D4 | 1 | 2 | yes | — |
| 649 | #117 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 650 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 651 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 652 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 653 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 654 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 655 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 656 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 657 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 658 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 659 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 660 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 661 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 662 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 663 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 664 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 665 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 666 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 667 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 668 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 669 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 670 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 671 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 672 | C2×C4⋊C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 673 | C2×C4⋊C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 674 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 675 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 676 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 677 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 678 | C2×C42 | — | 2 | 1 | no | — |
| 679 | C2×C42 | — | 2 | 1 | no | — |
| 680 | C2×C42 | — | 2 | 1 | no | — |
| 681 | C2×C42 | — | 2 | 1 | no | — |
| 682 | C2×C42 | — | 2 | 1 | no | — |
| 683 | C2×C42 | — | 2 | 1 | no | — |
| 684 | C2×C42 | — | 2 | 1 | no | — |
| 685 | C2×C42 | — | 4 | 4 | no | — |
| 686 | C2×C42 | — | 4 | 1 | no | — |
| 687 | C2×C42 | #120 | 1 | 1 | yes | characteristic |
| 688 | C2×C42 | #120 | 1 | 1 | yes | characteristic |
| 689 | M32 | — | 2 | 2 | no | — |
| 690 | M32 | — | 2 | 2 | no | — |
| 691 | M32 | — | 2 | 2 | no | — |
| 692 | M32 | — | 2 | 2 | no | — |
| 693 | M32 | — | 2 | 2 | no | — |
| 694 | M32 | — | 2 | 2 | no | — |
| 695 | M32 | — | 2 | 2 | no | — |
| 696 | M32 | — | 2 | 2 | no | — |
| 697 | M32 | — | 4 | 1 | no | — |
| 698 | M32 | — | 4 | 1 | no | — |
| 699 | M32 | — | 4 | 1 | no | — |
| 700 | M32 | — | 4 | 1 | no | — |
| 701 | M32 | — | 4 | 1 | no | — |
| 702 | M32 | — | 4 | 1 | no | — |
| 703 | M32 | — | 4 | 1 | no | — |
| 704 | M32 | — | 4 | 1 | no | — |
| 705 | C2×C16 | — | 2 | 2 | no | — |
| 706 | C2×C16 | — | 2 | 2 | no | — |
| 707 | C2×C16 | — | 2 | 2 | no | — |
| 708 | C2×C16 | — | 2 | 2 | no | — |
| 709 | C2×C16 | — | 4 | 1 | no | — |
| 710 | C2×C16 | — | 4 | 1 | no | — |
| 711 | C2×C16 | — | 4 | 1 | no | — |
| 712 | C2×C16 | — | 4 | 1 | no | — |
| 713 | C2×C16 | — | 4 | 1 | no | — |
| 714 | C2×C16 | — | 4 | 1 | no | — |
| 715 | C2×C16 | — | 4 | 1 | no | — |
| 716 | C2×C16 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 717 | #108 | — | 2 | 2 | no | — |
| 718 | #108 | — | 2 | 2 | no | — |
| 719 | #108 | — | 2 | 2 | no | — |
| 720 | #108 | — | 2 | 2 | no | — |
| 721 | #108 | — | 2 | 2 | no | — |
| 722 | #108 | — | 2 | 2 | no | — |
| 723 | #108 | — | 2 | 2 | no | — |
| 724 | #108 | — | 2 | 2 | no | — |
| 725 | #108 | — | 2 | 2 | no | — |
| 726 | #108 | — | 4 | 1 | no | — |
| 727 | #108 | — | 4 | 1 | no | — |
| 728 | #108 | — | 4 | 1 | no | — |
| 729 | #108 | — | 4 | 1 | no | — |
| 730 | #108 | — | 4 | 1 | no | — |
| 731 | #108 | — | 4 | 1 | no | — |
| 732 | #108 | — | 8 | 4 | no | — |
| 733 | #108 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 734 | #107 | — | 2 | 1 | no | — |
| 735 | #107 | — | 2 | 1 | no | — |
| 736 | #107 | — | 2 | 2 | no | — |
| 737 | #107 | — | 2 | 2 | no | — |
| 738 | #107 | — | 4 | 1 | no | — |
| 739 | #107 | — | 4 | 1 | no | — |
| 740 | #107 | — | 4 | 4 | no | — |
| 741 | #107 | — | 8 | 2 | no | — |
| 742 | #107 | C4×D4 | 1 | 2 | yes | — |
| 743 | #107 | C4×D4 | 1 | 2 | yes | — |
| 744 | #106 | — | 2 | 2 | no | — |
| 745 | #106 | — | 2 | 2 | no | — |
| 746 | #106 | — | 4 | 4 | no | — |
| 747 | #106 | — | 4 | 1 | no | — |
| 748 | #106 | — | 4 | 1 | no | — |
| 749 | #106 | — | 4 | 1 | no | — |
| 750 | #106 | — | 4 | 1 | no | — |
| 751 | #106 | — | 8 | 2 | no | — |
| 752 | C4⋊C8 | — | 2 | 4 | no | — |
| 753 | C4⋊C8 | — | 2 | 4 | no | — |
| 754 | C4⋊C8 | — | 4 | 4 | no | — |
| 755 | C4⋊C8 | — | 4 | 4 | no | — |
| 756 | C4⋊C8 | — | 4 | 2 | no | — |
| 757 | C4⋊C8 | — | 4 | 2 | no | — |
| 758 | C4⋊C8 | — | 4 | 2 | no | — |
| 759 | C4⋊C8 | — | 4 | 2 | no | — |
| 760 | C4⋊C8 | — | 4 | 4 | no | — |
| 761 | C4⋊C8 | — | 4 | 4 | no | — |
| 762 | #104 | — | 4 | 4 | no | — |
| 763 | #104 | — | 4 | 4 | no | — |
| 764 | #104 | — | 4 | 8 | no | — |
| 765 | #103 | — | 2 | 4 | no | — |
| 766 | #103 | — | 2 | 4 | no | — |
| 767 | #102 | — | 2 | 4 | no | — |
| 768 | #102 | — | 2 | 4 | no | — |
| 769 | #97 | — | 2 | 2 | no | — |
| 770 | #97 | — | 2 | 1 | no | — |
| 771 | #97 | — | 2 | 1 | no | — |
| 772 | #97 | — | 2 | 2 | no | — |
| 773 | #97 | — | 2 | 1 | no | — |
| 774 | #97 | — | 2 | 1 | no | — |
| 775 | #97 | — | 2 | 1 | no | — |
| 776 | #97 | — | 2 | 1 | no | — |
| 777 | #97 | — | 2 | 1 | no | — |
| 778 | #97 | — | 2 | 1 | no | — |
| 779 | #97 | — | 4 | 1 | no | — |
| 780 | #97 | — | 4 | 1 | no | — |
| 781 | #97 | — | 8 | 2 | no | — |
| 782 | C4×C8 | — | 2 | 2 | no | — |
| 783 | C4×C8 | — | 2 | 2 | no | — |
| 784 | C4×C8 | — | 4 | 1 | no | — |
| 785 | C4×C8 | — | 4 | 1 | no | — |
| 786 | C4×C8 | — | 8 | 2 | no | — |
| 787 | #95 | — | 4 | 1 | no | — |
| 788 | #95 | — | 4 | 1 | no | — |
| 789 | #95 | — | 8 | 1 | no | — |
| 790 | #95 | — | 8 | 1 | no | — |
| 791 | C24 | — | 4 | 1 | no | — |
| 792 | C24 | #575 | 1 | 1 | yes | characteristic |
| 793 | #41 | — | 2 | 4 | no | — |
| 794 | #41 | — | 2 | 4 | no | — |
| 795 | #41 | — | 2 | 4 | no | — |
| 796 | #41 | — | 2 | 4 | no | — |
| 797 | #41 | — | 4 | 2 | no | — |
| 798 | #41 | — | 4 | 2 | no | — |
| 799 | #41 | — | 4 | 2 | no | — |
| 800 | #41 | — | 4 | 2 | no | — |
| 801 | #41 | — | 4 | 2 | no | — |
| 802 | #41 | — | 4 | 2 | no | — |
| 803 | #41 | — | 4 | 2 | no | — |
| 804 | #41 | — | 4 | 2 | no | — |
| 805 | #41 | — | 4 | 2 | no | — |
| 806 | #41 | — | 4 | 2 | no | — |
| 807 | #41 | — | 4 | 2 | no | — |
| 808 | #41 | — | 4 | 2 | no | — |
| 809 | C2×Q8 | — | 2 | 2 | no | — |
| 810 | C2×Q8 | — | 2 | 2 | no | — |
| 811 | C2×Q8 | — | 2 | 2 | no | — |
| 812 | C2×Q8 | — | 4 | 1 | no | — |
| 813 | C2×Q8 | — | 4 | 1 | no | — |
| 814 | C2×Q8 | — | 4 | 1 | no | — |
| 815 | C2×D4 | — | 2 | 2 | no | — |
| 816 | C2×D4 | — | 2 | 2 | no | — |
| 817 | C2×D4 | — | 2 | 2 | no | — |
| 818 | C2×D4 | — | 4 | 2 | no | — |
| 819 | C2×D4 | — | 4 | 2 | no | — |
| 820 | C2×D4 | — | 4 | 2 | no | — |
| 821 | C2×D4 | — | 4 | 2 | no | — |
| 822 | C2×D4 | — | 4 | 2 | no | — |
| 823 | C2×D4 | — | 4 | 2 | no | — |
| 824 | C2×D4 | — | 4 | 1 | no | — |
| 825 | C2×D4 | — | 4 | 1 | no | — |
| 826 | C2×D4 | — | 4 | 1 | no | — |
| 827 | C22×C4 | — | 2 | 1 | no | — |
| 828 | C22×C4 | — | 2 | 1 | no | — |
| 829 | C22×C4 | — | 2 | 1 | no | — |
| 830 | C22×C4 | — | 2 | 1 | no | — |
| 831 | C22×C4 | — | 4 | 4 | no | — |
| 832 | C22×C4 | — | 4 | 4 | no | — |
| 833 | C22×C4 | — | 4 | 1 | no | — |
| 834 | C22×C4 | — | 4 | 2 | no | — |
| 835 | C22×C4 | — | 4 | 2 | no | — |
| 836 | C22×C4 | — | 4 | 2 | no | — |
| 837 | C22×C4 | — | 4 | 2 | no | — |
| 838 | C22×C4 | — | 4 | 2 | no | — |
| 839 | C22×C4 | — | 4 | 2 | no | — |
| 840 | C22×C4 | — | 4 | 1 | no | — |
| 841 | C22×C4 | — | 4 | 1 | no | — |
| 842 | C22×C4 | — | 4 | 1 | no | — |
| 843 | C22×C4 | — | 4 | 1 | no | — |
| 844 | C22×C4 | — | 4 | 1 | no | — |
| 845 | C22×C4 | — | 4 | 2 | no | — |
| 846 | C22×C4 | — | 8 | 1 | no | — |
| 847 | C22×C4 | — | 8 | 1 | no | — |
| 848 | C22×C4 | — | 8 | 1 | no | — |
| 849 | C22×C4 | — | 8 | 1 | no | — |
| 850 | C22×C4 | — | 8 | 1 | no | — |
| 851 | C22×C4 | — | 8 | 1 | no | — |
| 852 | C22×C4 | — | 8 | 1 | no | — |
| 853 | C22×C4 | — | 16 | 1 | no | — |
| 854 | C22×C4 | — | 16 | 1 | no | — |
| 855 | C22×C4 | — | 16 | 1 | no | — |
| 856 | C22×C4 | — | 16 | 1 | no | — |
| 857 | C22×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 858 | C22×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 859 | C22×C4 | #525 | 1 | 1 | yes | characteristic |
| 860 | C22×C4 | D42 | 1 | 1 | yes | characteristic |
| 861 | C22×C4 | #546 | 1 | 1 | yes | characteristic |
| 862 | C22×C4 | D4×Q8 | 1 | 1 | yes | characteristic |
| 863 | C22×C4 | D4×Q8 | 1 | 1 | yes | characteristic |
| 864 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 865 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 866 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 867 | C22×C4 | #577 | 1 | 1 | yes | characteristic |
| 868 | C22×C4 | #577 | 1 | 1 | yes | characteristic |
| 869 | C22×C4 | #577 | 1 | 1 | yes | characteristic |
| 870 | C22×C4 | #578 | 1 | 1 | yes | characteristic |
| 871 | Q16 | — | 2 | 2 | no | — |
| 872 | Q16 | — | 2 | 2 | no | — |
| 873 | Q16 | — | 2 | 2 | no | — |
| 874 | Q16 | #389 | 1 | 4 | yes | — |
| 875 | SD16 | — | 2 | 4 | no | — |
| 876 | SD16 | — | 2 | 4 | no | — |
| 877 | SD16 | — | 2 | 4 | no | — |
| 878 | SD16 | — | 2 | 4 | no | — |
| 879 | D8 | — | 2 | 2 | no | — |
| 880 | D8 | — | 2 | 2 | no | — |
| 881 | D8 | — | 2 | 2 | no | — |
| 882 | D8 | #389 | 1 | 4 | yes | — |
| 883 | M16 | — | 2 | 4 | no | — |
| 884 | M16 | — | 2 | 2 | no | — |
| 885 | M16 | — | 2 | 2 | no | — |
| 886 | M16 | — | 2 | 2 | no | — |
| 887 | M16 | — | 2 | 2 | no | — |
| 888 | M16 | — | 4 | 1 | no | — |
| 889 | M16 | — | 4 | 1 | no | — |
| 890 | M16 | — | 4 | 2 | no | — |
| 891 | M16 | — | 4 | 2 | no | — |
| 892 | M16 | — | 4 | 1 | no | — |
| 893 | M16 | — | 4 | 2 | no | — |
| 894 | M16 | — | 4 | 1 | no | — |
| 895 | M16 | — | 4 | 2 | no | — |
| 896 | M16 | — | 4 | 2 | no | — |
| 897 | M16 | — | 4 | 2 | no | — |
| 898 | M16 | — | 4 | 2 | no | — |
| 899 | M16 | — | 4 | 2 | no | — |
| 900 | M16 | — | 4 | 2 | no | — |
| 901 | M16 | — | 8 | 4 | no | — |
| 902 | M16 | — | 8 | 4 | no | — |
| 903 | M16 | — | 8 | 8 | no | — |
| 904 | M16 | — | 8 | 1 | no | — |
| 905 | M16 | — | 8 | 1 | no | — |
| 906 | M16 | — | 8 | 1 | no | — |
| 907 | M16 | — | 8 | 1 | no | — |
| 908 | M16 | — | 8 | 1 | no | — |
| 909 | M16 | — | 8 | 1 | no | — |
| 910 | C2×C8 | — | 2 | 1 | no | — |
| 911 | C2×C8 | — | 2 | 1 | no | — |
| 912 | C2×C8 | — | 2 | 1 | no | — |
| 913 | C2×C8 | — | 2 | 1 | no | — |
| 914 | C2×C8 | — | 2 | 2 | no | — |
| 915 | C2×C8 | — | 2 | 1 | no | — |
| 916 | C2×C8 | — | 2 | 1 | no | — |
| 917 | C2×C8 | — | 2 | 2 | no | — |
| 918 | C2×C8 | — | 4 | 2 | no | — |
| 919 | C2×C8 | — | 4 | 1 | no | — |
| 920 | C2×C8 | — | 4 | 2 | no | — |
| 921 | C2×C8 | — | 4 | 1 | no | — |
| 922 | C2×C8 | — | 4 | 1 | no | — |
| 923 | C2×C8 | — | 4 | 1 | no | — |
| 924 | C2×C8 | — | 4 | 1 | no | — |
| 925 | C2×C8 | — | 4 | 2 | no | — |
| 926 | C2×C8 | — | 4 | 1 | no | — |
| 927 | C2×C8 | — | 4 | 1 | no | — |
| 928 | C2×C8 | — | 4 | 1 | no | — |
| 929 | C2×C8 | — | 4 | 2 | no | — |
| 930 | C2×C8 | — | 4 | 2 | no | — |
| 931 | C2×C8 | — | 4 | 2 | no | — |
| 932 | C2×C8 | — | 8 | 4 | no | — |
| 933 | C2×C8 | — | 8 | 4 | no | — |
| 934 | C2×C8 | — | 8 | 8 | no | — |
| 935 | C2×C8 | — | 8 | 1 | no | — |
| 936 | C2×C8 | — | 8 | 1 | no | — |
| 937 | C2×C8 | — | 8 | 1 | no | — |
| 938 | C2×C8 | — | 8 | 1 | no | — |
| 939 | C2×C8 | — | 8 | 1 | no | — |
| 940 | C2×C8 | — | 8 | 1 | no | — |
| 941 | C2×C8 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 942 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 943 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 944 | C2×C8 | C2×C4×Q8 | 1 | 1 | yes | characteristic |
| 945 | C2×C8 | #520 | 1 | 1 | yes | characteristic |
| 946 | C2×C8 | #520 | 1 | 1 | yes | characteristic |
| 947 | C2×C8 | C2×#121 | 1 | 1 | yes | characteristic |
| 948 | C2×C8 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 949 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 950 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 951 | C2×C8 | C2×#125 | 1 | 1 | yes | characteristic |
| 952 | C2×C8 | C2×C4⋊Q8 | 1 | 1 | yes | characteristic |
| 953 | C2×C8 | #534 | 1 | 1 | yes | characteristic |
| 954 | C2×C8 | #536 | 1 | 1 | yes | characteristic |
| 955 | C2×C8 | #539 | 1 | 1 | yes | characteristic |
| 956 | C2×C8 | #539 | 1 | 1 | yes | characteristic |
| 957 | C2×C8 | D42 | 1 | 1 | yes | characteristic |
| 958 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 959 | C2×C8 | #547 | 1 | 1 | yes | characteristic |
| 960 | C2×C8 | #547 | 1 | 1 | yes | characteristic |
| 961 | C2×C8 | D4×Q8 | 1 | 1 | yes | characteristic |
| 962 | C2×C8 | D4×Q8 | 1 | 1 | yes | characteristic |
| 963 | C2×C8 | #552 | 1 | 1 | yes | characteristic |
| 964 | C2×C8 | #552 | 1 | 1 | yes | characteristic |
| 965 | C2×C8 | #554 | 1 | 1 | yes | characteristic |
| 966 | C2×C8 | #554 | 1 | 1 | yes | characteristic |
| 967 | C2×C8 | #554 | 1 | 1 | yes | characteristic |
| 968 | C2×C8 | #554 | 1 | 1 | yes | characteristic |
| 969 | C4⋊C4 | — | 2 | 1 | no | — |
| 970 | C4⋊C4 | — | 2 | 1 | no | — |
| 971 | C4⋊C4 | — | 2 | 2 | no | — |
| 972 | C4⋊C4 | — | 2 | 2 | no | — |
| 973 | C4⋊C4 | — | 4 | 4 | no | — |
| 974 | C4⋊C4 | — | 4 | 4 | no | — |
| 975 | C4⋊C4 | — | 4 | 1 | no | — |
| 976 | C4⋊C4 | — | 4 | 1 | no | — |
| 977 | C4⋊C4 | — | 4 | 1 | no | — |
| 978 | C4⋊C4 | — | 4 | 2 | no | — |
| 979 | C4⋊C4 | — | 4 | 1 | no | — |
| 980 | C4⋊C4 | — | 4 | 2 | no | — |
| 981 | C4⋊C4 | — | 8 | 1 | no | — |
| 982 | C4⋊C4 | — | 8 | 1 | no | — |
| 983 | C4⋊C4 | — | 8 | 1 | no | — |
| 984 | C4⋊C4 | — | 8 | 1 | no | — |
| 985 | C4⋊C4 | — | 8 | 1 | no | — |
| 986 | C4⋊C4 | — | 8 | 1 | no | — |
| 987 | C4⋊C4 | — | 16 | 1 | no | — |
| 988 | C4⋊C4 | — | 16 | 1 | no | — |
| 989 | C4⋊C4 | — | 16 | 2 | no | — |
| 990 | C4⋊C4 | — | 16 | 2 | no | — |
| 991 | C4⋊C4 | #442 | 1 | 2 | yes | — |
| 992 | C4⋊C4 | #442 | 1 | 2 | yes | — |
| 993 | C22⋊C4 | — | 2 | 2 | no | — |
| 994 | C22⋊C4 | — | 2 | 2 | no | — |
| 995 | C22⋊C4 | — | 4 | 4 | no | — |
| 996 | C22⋊C4 | — | 4 | 4 | no | — |
| 997 | C22⋊C4 | — | 4 | 2 | no | — |
| 998 | C22⋊C4 | — | 4 | 2 | no | — |
| 999 | C22⋊C4 | — | 4 | 1 | no | — |
| 1000 | C22⋊C4 | — | 4 | 1 | no | — |
| 1001 | C42 | — | 2 | 2 | no | — |
| 1002 | C42 | — | 2 | 2 | no | — |
| 1003 | C42 | — | 2 | 1 | no | — |
| 1004 | C42 | — | 2 | 1 | no | — |
| 1005 | C42 | — | 2 | 1 | no | — |
| 1006 | C42 | — | 2 | 1 | no | — |
| 1007 | C42 | — | 4 | 4 | no | — |
| 1008 | C42 | — | 4 | 4 | no | — |
| 1009 | C42 | — | 4 | 1 | no | — |
| 1010 | C42 | — | 4 | 2 | no | — |
| 1011 | C42 | — | 4 | 2 | no | — |
| 1012 | C42 | — | 4 | 1 | no | — |
| 1013 | C42 | — | 4 | 1 | no | — |
| 1014 | C42 | — | 4 | 1 | no | — |
| 1015 | C16 | — | 2 | 4 | no | — |
| 1016 | C16 | — | 4 | 2 | no | — |
| 1017 | C16 | — | 4 | 2 | no | — |
| 1018 | C16 | — | 8 | 1 | no | — |
| 1019 | C23 | — | 4 | 1 | no | — |
| 1020 | C23 | — | 4 | 1 | no | — |
| 1021 | C23 | — | 4 | 2 | no | — |
| 1022 | C23 | — | 4 | 2 | no | — |
| 1023 | C23 | — | 4 | 2 | no | — |
| 1024 | C23 | — | 16 | 1 | no | — |
| 1025 | C23 | — | 16 | 1 | no | — |
| 1026 | C23 | C4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1027 | C23 | #3006 | 1 | 1 | yes | characteristic |
| 1028 | C23 | #3114 | 1 | 1 | yes | characteristic |
| 1029 | C23 | #3269 | 1 | 1 | yes | characteristic |
| 1030 | C23 | #3307 | 1 | 1 | yes | characteristic |
| 1031 | C23 | #3388 | 1 | 1 | yes | characteristic |
| 1032 | C23 | #3388 | 1 | 1 | yes | characteristic |
| 1033 | Q8 | — | 2 | 4 | no | — |
| 1034 | Q8 | — | 4 | 2 | no | — |
| 1035 | Q8 | — | 4 | 2 | no | — |
| 1036 | Q8 | — | 4 | 2 | no | — |
| 1037 | D4 | — | 2 | 4 | no | — |
| 1038 | D4 | — | 4 | 4 | no | — |
| 1039 | D4 | — | 4 | 4 | no | — |
| 1040 | D4 | — | 4 | 4 | no | — |
| 1041 | D4 | — | 4 | 4 | no | — |
| 1042 | D4 | — | 4 | 2 | no | — |
| 1043 | D4 | — | 4 | 2 | no | — |
| 1044 | D4 | — | 4 | 2 | no | — |
| 1045 | C2×C4 | — | 2 | 2 | no | — |
| 1046 | C2×C4 | — | 2 | 2 | no | — |
| 1047 | C2×C4 | — | 4 | 2 | no | — |
| 1048 | C2×C4 | — | 4 | 2 | no | — |
| 1049 | C2×C4 | — | 4 | 2 | no | — |
| 1050 | C2×C4 | — | 4 | 4 | no | — |
| 1051 | C2×C4 | — | 4 | 4 | no | — |
| 1052 | C2×C4 | — | 4 | 4 | no | — |
| 1053 | C2×C4 | — | 4 | 4 | no | — |
| 1054 | C2×C4 | — | 4 | 1 | no | — |
| 1055 | C2×C4 | — | 4 | 1 | no | — |
| 1056 | C2×C4 | — | 4 | 1 | no | — |
| 1057 | C2×C4 | — | 4 | 1 | no | — |
| 1058 | C2×C4 | — | 4 | 1 | no | — |
| 1059 | C2×C4 | — | 4 | 1 | no | — |
| 1060 | C2×C4 | — | 4 | 2 | no | — |
| 1061 | C2×C4 | — | 4 | 2 | no | — |
| 1062 | C2×C4 | — | 8 | 1 | no | — |
| 1063 | C2×C4 | — | 8 | 1 | no | — |
| 1064 | C2×C4 | — | 8 | 1 | no | — |
| 1065 | C2×C4 | — | 8 | 1 | no | — |
| 1066 | C2×C4 | — | 8 | 1 | no | — |
| 1067 | C2×C4 | — | 8 | 2 | no | — |
| 1068 | C2×C4 | — | 16 | 4 | no | — |
| 1069 | C2×C4 | — | 16 | 4 | no | — |
| 1070 | C2×C4 | — | 16 | 1 | no | — |
| 1071 | C2×C4 | — | 16 | 1 | no | — |
| 1072 | C2×C4 | — | 16 | 1 | no | — |
| 1073 | C2×C4 | — | 16 | 1 | no | — |
| 1074 | C2×C4 | — | 16 | 1 | no | — |
| 1075 | C2×C4 | — | 16 | 1 | no | — |
| 1076 | C2×C4 | — | 16 | 2 | no | — |
| 1077 | C2×C4 | — | 16 | 2 | no | — |
| 1078 | C2×C4 | — | 16 | 1 | no | — |
| 1079 | C2×C4 | — | 16 | 1 | no | — |
| 1080 | C2×C4 | — | 16 | 1 | no | — |
| 1081 | C2×C4 | — | 32 | 1 | no | — |
| 1082 | C2×C4 | — | 32 | 1 | no | — |
| 1083 | C2×C4 | C4×#120 | 1 | 1 | yes | characteristic |
| 1084 | C2×C4 | D4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 1085 | C2×C4 | #2360 | 1 | 1 | yes | characteristic |
| 1086 | C2×C4 | #2410 | 1 | 1 | yes | characteristic |
| 1087 | C2×C4 | #2434 | 1 | 1 | yes | characteristic |
| 1088 | C2×C4 | #2449 | 1 | 1 | yes | characteristic |
| 1089 | C2×C4 | #2473 | 1 | 1 | yes | characteristic |
| 1090 | C2×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 1091 | C2×C4 | #2947 | 1 | 1 | yes | characteristic |
| 1092 | C2×C4 | #2952 | 1 | 1 | yes | characteristic |
| 1093 | C2×C4 | #3003 | 1 | 1 | yes | characteristic |
| 1094 | C2×C4 | #3009 | 1 | 1 | yes | characteristic |
| 1095 | C2×C4 | #3013 | 1 | 1 | yes | characteristic |
| 1096 | C2×C4 | #3109 | 1 | 1 | yes | characteristic |
| 1097 | C2×C4 | #3120 | 1 | 1 | yes | characteristic |
| 1098 | C2×C4 | #3125 | 1 | 1 | yes | characteristic |
| 1099 | C2×C4 | #3265 | 1 | 1 | yes | characteristic |
| 1100 | C2×C4 | #3272 | 1 | 1 | yes | characteristic |
| 1101 | C2×C4 | #3272 | 1 | 1 | yes | characteristic |
| 1102 | C2×C4 | #3310 | 1 | 1 | yes | characteristic |
| 1103 | C2×C4 | #3324 | 1 | 1 | yes | characteristic |
| 1104 | C2×C4 | #3330 | 1 | 1 | yes | characteristic |
| 1105 | C2×C4 | #3384 | 1 | 1 | yes | characteristic |
| 1106 | C2×C4 | #3384 | 1 | 1 | yes | characteristic |
| 1107 | C2×C4 | #3384 | 1 | 1 | yes | characteristic |
| 1108 | C2×C4 | #3384 | 1 | 1 | yes | characteristic |
| 1109 | C2×C4 | #3386 | 1 | 1 | yes | characteristic |
| 1110 | C2×C4 | #3386 | 1 | 1 | yes | characteristic |
| 1111 | C8 | — | 4 | 1 | no | — |
| 1112 | C8 | — | 4 | 1 | no | — |
| 1113 | C8 | — | 4 | 2 | no | — |
| 1114 | C8 | — | 4 | 4 | no | — |
| 1115 | C8 | — | 4 | 2 | no | — |
| 1116 | C8 | — | 8 | 2 | no | — |
| 1117 | C8 | — | 8 | 2 | no | — |
| 1118 | C8 | — | 8 | 2 | no | — |
| 1119 | C8 | C2×#389 | 1 | 1 | yes | characteristic |
| 1120 | C8 | #2322 | 1 | 1 | yes | characteristic |
| 1121 | C8 | D4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 1122 | C8 | #2360 | 1 | 1 | yes | characteristic |
| 1123 | C8 | #2413 | 1 | 1 | yes | characteristic |
| 1124 | C8 | #2449 | 1 | 1 | yes | characteristic |
| 1125 | C8 | #2473 | 1 | 1 | yes | characteristic |
| 1126 | C8 | #2583 | 1 | 1 | yes | characteristic |
| 1127 | C22 | — | 2 | 1 | no | — |
| 1128 | C22 | — | 2 | 1 | no | — |
| 1129 | C22 | — | 2 | 1 | no | — |
| 1130 | C22 | — | 2 | 1 | no | — |
| 1131 | C22 | — | 2 | 1 | no | — |
| 1132 | C22 | — | 2 | 1 | no | — |
| 1133 | C22 | — | 4 | 1 | no | — |
| 1134 | C22 | — | 4 | 1 | no | — |
| 1135 | C22 | — | 4 | 1 | no | — |
| 1136 | C22 | — | 4 | 1 | no | — |
| 1137 | C22 | — | 4 | 4 | no | — |
| 1138 | C22 | — | 8 | 2 | no | — |
| 1139 | C22 | — | 8 | 2 | no | — |
| 1140 | C22 | — | 16 | 2 | no | — |
| 1141 | C22 | — | 16 | 2 | no | — |
| 1142 | C22 | #21452 | 1 | 1 | yes | characteristic |
| 1143 | C22 | #22677 | 1 | 1 | yes | characteristic |
| 1144 | C22 | #22978 | 1 | 1 | yes | characteristic |
| 1145 | C22 | #24454 | 1 | 1 | yes | characteristic |
| 1146 | C22 | #25851 | 1 | 1 | yes | characteristic |
| 1147 | C22 | #26398 | 1 | 1 | yes | characteristic |
| 1148 | C22 | #27312 | 1 | 1 | yes | characteristic |
| 1149 | C4 | — | 4 | 2 | no | — |
| 1150 | C4 | — | 4 | 2 | no | — |
| 1151 | C4 | — | 4 | 4 | no | — |
| 1152 | C4 | — | 8 | 1 | no | — |
| 1153 | C4 | — | 8 | 1 | no | — |
| 1154 | C4 | — | 8 | 2 | no | — |
| 1155 | C4 | — | 8 | 2 | no | — |
| 1156 | C4 | — | 16 | 1 | no | — |
| 1157 | C4 | — | 16 | 2 | no | — |
| 1158 | C4 | — | 32 | 1 | no | — |
| 1159 | C4 | #14043 | 1 | 1 | yes | characteristic |
| 1160 | C4 | #21461 | 1 | 1 | yes | characteristic |
| 1161 | C4 | #22670 | 1 | 1 | yes | characteristic |
| 1162 | C4 | #22968 | 1 | 1 | yes | characteristic |
| 1163 | C4 | #24448 | 1 | 1 | yes | characteristic |
| 1164 | C4 | #25844 | 1 | 1 | yes | characteristic |
| 1165 | C4 | #26392 | 1 | 1 | yes | characteristic |
| 1166 | C4 | #27315 | 1 | 1 | yes | characteristic |
| 1167 | C2 | — | 2 | 1 | no | — |
| 1168 | C2 | — | 2 | 1 | no | — |
| 1169 | C2 | — | 2 | 1 | no | — |
| 1170 | C2 | — | 2 | 1 | no | — |
| 1171 | C2 | — | 2 | 1 | no | — |
| 1172 | C2 | — | 2 | 1 | no | — |
| 1173 | C2 | — | 8 | 4 | no | — |
| 1174 | C2 | #370138 | 1 | 1 | yes | characteristic |
| 1175 | C2 | #495737 | 1 | 1 | yes | characteristic |
| 1176 | C2 | #495738 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #21452 |
| commutator | C22×C8 | C23×C4 |
| Frattini, cosocle | C23×C8 | C24 |
| prime radical | C22×#135 | C23 |
| LCS | G ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C23×C4 ◁ #20436 ◁ G | |
| LECS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#13174 | C2 | semidirect |
| 7. #370282 | C2 | semidirect |
| 8. #149247 | C2 | semidirect |
| 9. #149199 | C2 | semidirect |
| 10. #148766 | C2 | semidirect |
| 11. #148718 | C2 | semidirect |
| 12. #147246 | C2 | semidirect |
| 13. #147126 | C2 | semidirect |
| 49. #12946 | C4 | semidirect |
| 50. #12945 | C4 | semidirect |
| 457. #359 | C4⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #6380164 | 2 |
| C2×#13174 | 2 |
| C2×#12955 | 2 |
| C2×#12948 | 2 |
| #494315 | 2 |
| C2×#12651 | 2 |
| #370282 | 2 |
| #149247 | 2 |
| #149199 | 2 |
| #148766 | 2 |
| #148718 | 2 |
| #147246 | 2 |
| #147126 | 2 |
| #146795 | 2 |
| #146764 | 2 |