| 1 | #10610867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10610843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10610526 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10610521 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#2097 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10601440 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10601385 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10601057 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601056 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10600486 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10600485 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10600356 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10600355 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10599488 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10599439 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#4147 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#4088 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#4050 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#4047 | C22 | 1 | 1 | yes | characteristic |
| 20 | #65844 | C22 | 1 | 1 | yes | characteristic |
| 21 | #65838 | C22 | 1 | 1 | yes | characteristic |
| 22 | #65838 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C5×#107 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C5×#106 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 27 | C5×#391 | C22 | 1 | 1 | yes | characteristic |
| 28 | C5×#382 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#3968 | C22 | 1 | 1 | yes | characteristic |
| 30 | #65514 | C22 | 1 | 1 | yes | characteristic |
| 31 | #65402 | C22 | 1 | 1 | yes | characteristic |
| 32 | #65399 | C22 | 1 | 1 | yes | characteristic |
| 33 | #65399 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#3951 | C22 | 1 | 1 | yes | characteristic |
| 35 | #65390 | C22 | 1 | 1 | yes | characteristic |
| 36 | #65255 | C22 | 1 | 1 | yes | characteristic |
| 37 | #65255 | C22 | 1 | 1 | yes | characteristic |
| 38 | #65255 | C22 | 1 | 1 | yes | characteristic |
| 39 | #65255 | C22 | 1 | 1 | yes | characteristic |
| 40 | #65255 | C22 | 1 | 1 | yes | characteristic |
| 41 | #65253 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#3937 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#3937 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#3937 | C22 | 1 | 1 | yes | characteristic |
| 45 | #65178 | — | 2 | 1 | no | — |
| 46 | #65178 | — | 2 | 1 | no | — |
| 47 | #65162 | — | 2 | 1 | no | — |
| 48 | #65161 | — | 2 | 1 | no | — |
| 49 | #65156 | — | 2 | 1 | no | — |
| 50 | #65155 | — | 2 | 1 | no | — |
| 51 | #65152 | — | 2 | 1 | no | — |
| 52 | #65151 | — | 2 | 1 | no | — |
| 53 | #65100 | — | 2 | 1 | no | — |
| 54 | #65099 | — | 2 | 1 | no | — |
| 55 | #65097 | — | 2 | 1 | no | — |
| 56 | #65095 | — | 2 | 1 | no | — |
| 57 | #65093 | — | 2 | 1 | no | — |
| 58 | #65092 | — | 2 | 1 | no | — |
| 59 | #65091 | — | 2 | 1 | no | — |
| 60 | D5×#103 | — | 2 | 1 | no | — |
| 61 | C5×#336 | C22 | 1 | 1 | yes | characteristic |
| 62 | #64772 | C22 | 1 | 1 | yes | characteristic |
| 63 | #64750 | C22 | 1 | 1 | yes | characteristic |
| 64 | #64750 | C22 | 1 | 1 | yes | characteristic |
| 65 | #64750 | C22 | 1 | 1 | yes | characteristic |
| 66 | #64743 | C22 | 1 | 1 | yes | characteristic |
| 67 | #24927 | — | 5 | 1 | no | maximal, Sylow |
| 68 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 69 | #4147 | — | 2 | 2 | no | — |
| 70 | #4147 | — | 2 | 2 | no | — |
| 71 | #4147 | — | 2 | 2 | no | — |
| 72 | #4147 | — | 4 | 1 | no | — |
| 73 | C2×#713 | — | 2 | 1 | no | — |
| 74 | C2×#713 | — | 2 | 1 | no | — |
| 75 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 76 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 77 | C2×#709 | — | 4 | 1 | no | — |
| 78 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 82 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#689 | — | 2 | 1 | no | — |
| 88 | #4088 | — | 2 | 2 | no | — |
| 89 | #4088 | — | 4 | 1 | no | — |
| 90 | C2×#688 | — | 2 | 1 | no | — |
| 91 | #4076 | — | 4 | 1 | no | — |
| 92 | C4×C22⋊D5 | — | 4 | 1 | no | — |
| 93 | C4×C22⋊D5 | — | 4 | 1 | no | — |
| 94 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×Dic20 | D4 | 1 | 1 | yes | characteristic |
| 100 | #4050 | — | 2 | 2 | no | — |
| 101 | #4050 | — | 2 | 2 | no | — |
| 102 | C2×D40 | D4 | 1 | 1 | yes | characteristic |
| 103 | C2×#677 | D4 | 1 | 1 | yes | characteristic |
| 104 | C2×#677 | D4 | 1 | 1 | yes | characteristic |
| 105 | #4047 | — | 2 | 2 | no | — |
| 106 | #4047 | — | 4 | 1 | no | — |
| 107 | C2×#676 | — | 2 | 1 | no | — |
| 108 | C2×C8×D5 | — | 2 | 1 | no | — |
| 109 | #4043 | — | 2 | 1 | no | — |
| 110 | #4043 | — | 2 | 1 | no | — |
| 111 | #4041 | — | 2 | 1 | no | — |
| 112 | #4041 | — | 2 | 1 | no | — |
| 113 | #4039 | — | 2 | 1 | no | — |
| 114 | #4039 | — | 2 | 1 | no | — |
| 115 | #4038 | — | 2 | 1 | no | — |
| 116 | #4038 | — | 2 | 1 | no | — |
| 117 | D5×C4⋊C4 | — | 2 | 1 | no | — |
| 118 | D5×C4⋊C4 | — | 2 | 1 | no | — |
| 119 | #4033 | — | 2 | 1 | no | — |
| 120 | #4033 | — | 2 | 1 | no | — |
| 121 | C5×#107 | — | 2 | 1 | no | — |
| 122 | C5×#107 | — | 2 | 1 | no | — |
| 123 | C5×#106 | — | 2 | 1 | no | — |
| 124 | C5×#106 | — | 2 | 1 | no | — |
| 125 | C5×#103 | — | 2 | 1 | no | — |
| 126 | C5×#103 | — | 2 | 1 | no | — |
| 127 | C5×#103 | — | 2 | 1 | no | — |
| 128 | C5×#103 | — | 2 | 1 | no | — |
| 129 | C5×#95 | — | 4 | 1 | no | — |
| 130 | C5×#95 | — | 4 | 1 | no | — |
| 131 | #3968 | — | 2 | 2 | no | — |
| 132 | #3967 | — | 2 | 1 | no | — |
| 133 | #3967 | — | 2 | 1 | no | — |
| 134 | #3953 | D4 | 1 | 1 | yes | characteristic |
| 135 | #3953 | D4 | 1 | 1 | yes | characteristic |
| 136 | #3952 | — | 2 | 1 | no | — |
| 137 | #3952 | — | 2 | 1 | no | — |
| 138 | #3952 | — | 2 | 1 | no | — |
| 139 | #3952 | — | 2 | 1 | no | — |
| 140 | #3951 | — | 4 | 1 | no | — |
| 141 | #3948 | D4 | 1 | 1 | yes | characteristic |
| 142 | #3948 | D4 | 1 | 1 | yes | characteristic |
| 143 | #3947 | — | 2 | 1 | no | — |
| 144 | C8×Dic5 | — | 2 | 1 | no | — |
| 145 | #3942 | — | 2 | 1 | no | — |
| 146 | #3942 | — | 2 | 1 | no | — |
| 147 | #3942 | — | 2 | 1 | no | — |
| 148 | #3942 | — | 2 | 1 | no | — |
| 149 | #3942 | — | 2 | 1 | no | — |
| 150 | #3941 | — | 2 | 1 | no | — |
| 151 | #3941 | — | 2 | 1 | no | — |
| 152 | #3941 | — | 2 | 1 | no | — |
| 153 | #3941 | — | 2 | 1 | no | — |
| 154 | #3941 | — | 2 | 1 | no | — |
| 155 | #3940 | — | 2 | 1 | no | — |
| 156 | #3939 | — | 2 | 1 | no | — |
| 157 | #3937 | — | 2 | 2 | no | — |
| 158 | #3937 | — | 4 | 1 | no | — |
| 159 | #3937 | — | 4 | 1 | no | — |
| 160 | #3099 | — | 5 | 1 | no | — |
| 161 | #3013 | — | 5 | 1 | no | — |
| 162 | #2951 | — | 5 | 1 | no | — |
| 163 | #2898 | — | 5 | 1 | no | — |
| 164 | #2097 | D5 | 1 | 1 | yes | characteristic, complemented |
| 165 | #2078 | — | 5 | 1 | no | — |
| 166 | #2052 | — | 5 | 1 | no | — |
| 167 | #2040 | — | 5 | 1 | no | — |
| 168 | #1930 | — | 5 | 1 | no | — |
| 169 | #1929 | — | 5 | 1 | no | — |
| 170 | #1882 | — | 5 | 1 | no | — |
| 171 | #1876 | — | 5 | 1 | no | — |
| 172 | #1860 | — | 5 | 1 | no | — |
| 173 | #1815 | — | 5 | 1 | no | — |
| 174 | #1793 | — | 5 | 1 | no | — |
| 175 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 176 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 177 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 178 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 179 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 180 | C2×C5×Q8 | #41 | 1 | 2 | yes | — |
| 181 | C22×C4×C5 | — | 2 | 1 | no | — |
| 182 | C22×C4×C5 | — | 2 | 1 | no | — |
| 183 | C22×C4×C5 | — | 2 | 1 | no | — |
| 184 | C22×C4×C5 | — | 2 | 1 | no | — |
| 185 | C22×C4×C5 | — | 2 | 1 | no | — |
| 186 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 187 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 188 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 189 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 190 | #713 | — | 2 | 4 | no | — |
| 191 | #713 | — | 4 | 2 | no | — |
| 192 | #713 | — | 4 | 2 | no | — |
| 193 | #713 | — | 4 | 2 | no | — |
| 194 | Q8×D5 | — | 2 | 4 | no | — |
| 195 | Q8×D5 | — | 4 | 2 | no | — |
| 196 | Q8×D5 | — | 4 | 2 | no | — |
| 197 | Q8×D5 | — | 4 | 2 | no | — |
| 198 | #709 | — | 2 | 1 | no | — |
| 199 | #709 | — | 2 | 1 | no | — |
| 200 | #709 | — | 2 | 1 | no | — |
| 201 | #709 | — | 2 | 1 | no | — |
| 202 | #709 | — | 2 | 1 | no | — |
| 203 | #709 | — | 2 | 1 | no | — |
| 204 | #709 | — | 2 | 1 | no | — |
| 205 | #709 | — | 2 | 1 | no | — |
| 206 | #709 | — | 2 | 1 | no | — |
| 207 | #709 | — | 2 | 1 | no | — |
| 208 | #709 | — | 4 | 4 | no | — |
| 209 | #709 | — | 4 | 4 | no | — |
| 210 | #709 | #41 | 1 | 2 | yes | — |
| 211 | #709 | #41 | 1 | 2 | yes | — |
| 212 | C2×D20 | — | 4 | 1 | no | — |
| 213 | C2×D20 | — | 4 | 1 | no | — |
| 214 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×C4×D5 | — | 2 | 1 | no | — |
| 218 | C2×C4×D5 | — | 2 | 1 | no | — |
| 219 | C2×C4×D5 | — | 2 | 1 | no | — |
| 220 | C2×C4×D5 | — | 4 | 1 | no | — |
| 221 | C2×C4×D5 | — | 4 | 1 | no | — |
| 222 | C2×C4×D5 | — | 4 | 1 | no | — |
| 223 | C2×C4×D5 | — | 4 | 1 | no | — |
| 224 | C2×Dic10 | — | 4 | 1 | no | — |
| 225 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C2×C5×C8 | — | 2 | 1 | no | — |
| 229 | C2×C5×C8 | — | 2 | 1 | no | — |
| 230 | C2×C5×C8 | — | 2 | 1 | no | — |
| 231 | C2×C5×C8 | — | 2 | 1 | no | — |
| 232 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 237 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 238 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 239 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 240 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 241 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 242 | C42×C5 | — | 2 | 1 | no | — |
| 243 | C42×C5 | — | 2 | 1 | no | — |
| 244 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 245 | #689 | — | 4 | 2 | no | — |
| 246 | #688 | — | 4 | 2 | no | — |
| 247 | #685 | — | 4 | 1 | no | — |
| 248 | #685 | — | 4 | 1 | no | — |
| 249 | #685 | — | 4 | 1 | no | — |
| 250 | #685 | — | 4 | 1 | no | — |
| 251 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 252 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | #683 | — | 4 | 1 | no | — |
| 255 | #683 | — | 4 | 1 | no | — |
| 256 | C4×Dic5 | — | 2 | 1 | no | — |
| 257 | C4×Dic5 | — | 4 | 1 | no | — |
| 258 | C4×Dic5 | — | 4 | 1 | no | — |
| 259 | #681 | — | 2 | 1 | no | — |
| 260 | #681 | — | 2 | 1 | no | — |
| 261 | #681 | — | 2 | 1 | no | — |
| 262 | #681 | — | 2 | 1 | no | — |
| 263 | #681 | — | 2 | 1 | no | — |
| 264 | #681 | — | 2 | 1 | no | — |
| 265 | #681 | — | 2 | 1 | no | — |
| 266 | #681 | — | 2 | 1 | no | — |
| 267 | C2×#168 | — | 2 | 1 | no | — |
| 268 | C2×#168 | — | 2 | 1 | no | — |
| 269 | C2×#168 | — | 2 | 1 | no | — |
| 270 | C2×#168 | — | 2 | 1 | no | — |
| 271 | Dic20 | — | 2 | 2 | no | — |
| 272 | D40 | — | 2 | 2 | no | — |
| 273 | #677 | — | 2 | 2 | no | — |
| 274 | #677 | — | 2 | 2 | no | — |
| 275 | #676 | — | 4 | 2 | no | — |
| 276 | C8×D5 | — | 4 | 2 | no | — |
| 277 | C2×2−1+4 | — | 5 | 1 | no | — |
| 278 | C2×#137 | — | 5 | 1 | no | — |
| 279 | C2×#135 | — | 5 | 1 | no | — |
| 280 | C2×#131 | — | 5 | 1 | no | — |
| 281 | #537 | — | 5 | 1 | no | — |
| 282 | #520 | — | 5 | 1 | no | — |
| 283 | #520 | — | 5 | 1 | no | — |
| 284 | #485 | — | 10 | 1 | no | — |
| 285 | #483 | — | 10 | 1 | no | — |
| 286 | #482 | — | 10 | 1 | no | — |
| 287 | #481 | — | 10 | 1 | no | — |
| 288 | #452 | — | 10 | 1 | no | — |
| 289 | #451 | — | 10 | 1 | no | — |
| 290 | #449 | — | 10 | 1 | no | — |
| 291 | #448 | — | 10 | 1 | no | — |
| 292 | #440 | — | 10 | 1 | no | — |
| 293 | #440 | — | 10 | 1 | no | — |
| 294 | C4×Q16 | — | 10 | 1 | no | — |
| 295 | C4×D8 | — | 10 | 1 | no | — |
| 296 | C2×#108 | — | 5 | 1 | no | — |
| 297 | #428 | — | 5 | 1 | no | — |
| 298 | C2×#107 | C2×D5 | 1 | 1 | yes | characteristic |
| 299 | C2×#106 | C2×D5 | 1 | 1 | yes | characteristic |
| 300 | C2×#104 | — | 5 | 1 | no | — |
| 301 | C2×#104 | — | 5 | 1 | no | — |
| 302 | C2×#104 | — | 5 | 1 | no | — |
| 303 | #419 | — | 5 | 1 | no | — |
| 304 | #419 | — | 10 | 1 | no | — |
| 305 | #417 | — | 5 | 1 | no | — |
| 306 | #417 | — | 5 | 1 | no | — |
| 307 | #417 | — | 5 | 1 | no | — |
| 308 | #417 | — | 5 | 1 | no | — |
| 309 | #417 | — | 5 | 1 | no | — |
| 310 | #417 | — | 10 | 1 | no | — |
| 311 | #416 | — | 5 | 1 | no | — |
| 312 | #416 | — | 10 | 1 | no | — |
| 313 | C2×#103 | — | 10 | 1 | no | — |
| 314 | C2×#103 | C2×D5 | 1 | 1 | yes | characteristic |
| 315 | C2×#103 | C2×D5 | 1 | 1 | yes | characteristic |
| 316 | C2×#101 | — | 5 | 1 | no | — |
| 317 | #408 | — | 5 | 1 | no | — |
| 318 | #408 | — | 5 | 1 | no | — |
| 319 | #405 | — | 5 | 1 | no | — |
| 320 | #391 | C2×D5 | 1 | 1 | yes | characteristic |
| 321 | #382 | C2×D5 | 1 | 1 | yes | characteristic |
| 322 | #343 | — | 5 | 1 | no | — |
| 323 | #343 | — | 5 | 1 | no | — |
| 324 | #343 | — | 5 | 1 | no | — |
| 325 | #341 | — | 5 | 1 | no | — |
| 326 | #339 | — | 5 | 1 | no | — |
| 327 | #336 | C2×D5 | 1 | 1 | yes | characteristic |
| 328 | C23×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 329 | C22×D5 | — | 2 | 1 | no | — |
| 330 | C22×D5 | — | 2 | 1 | no | — |
| 331 | C22×D5 | — | 2 | 1 | no | — |
| 332 | C5×Q8 | — | 2 | 2 | no | — |
| 333 | C5×Q8 | — | 2 | 2 | no | — |
| 334 | C5×Q8 | — | 4 | 1 | no | — |
| 335 | C5×Q8 | — | 4 | 1 | no | — |
| 336 | C2×C4×C5 | — | 2 | 2 | no | — |
| 337 | C2×C4×C5 | — | 4 | 1 | no | — |
| 338 | C2×C4×C5 | — | 4 | 1 | no | — |
| 339 | C2×C4×C5 | — | 4 | 1 | no | — |
| 340 | C2×C4×C5 | — | 4 | 1 | no | — |
| 341 | C2×C4×C5 | — | 4 | 1 | no | — |
| 342 | C2×C4×C5 | — | 4 | 1 | no | — |
| 343 | C2×C4×C5 | — | 4 | 1 | no | — |
| 344 | C2×C4×C5 | — | 4 | 1 | no | — |
| 345 | C2×C4×C5 | — | 8 | 1 | no | — |
| 346 | C2×C4×C5 | — | 8 | 1 | no | — |
| 347 | C2×C4×C5 | — | 8 | 1 | no | — |
| 348 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 349 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 350 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 351 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 352 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 353 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 354 | C22⋊D5 | — | 2 | 2 | no | — |
| 355 | C22⋊D5 | — | 2 | 2 | no | — |
| 356 | C22⋊D5 | — | 4 | 1 | no | — |
| 357 | C22⋊D5 | — | 4 | 1 | no | — |
| 358 | C22⋊D5 | — | 4 | 1 | no | — |
| 359 | C22⋊D5 | — | 4 | 1 | no | — |
| 360 | C2×Dic5 | — | 2 | 1 | no | — |
| 361 | C2×Dic5 | — | 2 | 1 | no | — |
| 362 | C2×Dic5 | — | 2 | 1 | no | — |
| 363 | C2×Dic5 | — | 2 | 1 | no | — |
| 364 | C2×Dic5 | — | 2 | 1 | no | — |
| 365 | D20 | — | 2 | 1 | no | — |
| 366 | D20 | — | 2 | 1 | no | — |
| 367 | D20 | — | 2 | 1 | no | — |
| 368 | D20 | — | 2 | 1 | no | — |
| 369 | D20 | — | 2 | 1 | no | — |
| 370 | D20 | — | 4 | 4 | no | — |
| 371 | D20 | — | 16 | 1 | no | — |
| 372 | D20 | #123 | 1 | 2 | yes | — |
| 373 | C4×D5 | — | 2 | 2 | no | — |
| 374 | C4×D5 | — | 2 | 2 | no | — |
| 375 | C4×D5 | — | 4 | 4 | no | — |
| 376 | C4×D5 | — | 4 | 4 | no | — |
| 377 | C4×D5 | — | 4 | 1 | no | — |
| 378 | C4×D5 | — | 4 | 1 | no | — |
| 379 | C4×D5 | — | 4 | 1 | no | — |
| 380 | C4×D5 | — | 4 | 1 | no | — |
| 381 | C4×D5 | — | 16 | 1 | no | — |
| 382 | C4×D5 | — | 16 | 1 | no | — |
| 383 | Dic10 | — | 2 | 1 | no | — |
| 384 | Dic10 | — | 2 | 1 | no | — |
| 385 | Dic10 | — | 2 | 1 | no | — |
| 386 | Dic10 | — | 2 | 1 | no | — |
| 387 | Dic10 | — | 2 | 1 | no | — |
| 388 | Dic10 | — | 4 | 4 | no | — |
| 389 | Dic10 | #123 | 1 | 2 | yes | — |
| 390 | C5×C8 | — | 2 | 1 | no | — |
| 391 | C5×C8 | — | 2 | 1 | no | — |
| 392 | C5×C8 | — | 2 | 1 | no | — |
| 393 | C5×C8 | — | 2 | 1 | no | — |
| 394 | #168 | — | 4 | 1 | no | — |
| 395 | #168 | — | 4 | 1 | no | — |
| 396 | #168 | — | 4 | 1 | no | — |
| 397 | #168 | — | 4 | 1 | no | — |
| 398 | 2−1+4 | — | 10 | 2 | no | — |
| 399 | 2−1+4 | — | 10 | 2 | no | — |
| 400 | 2−1+4 | — | 10 | 2 | no | — |
| 401 | 2−1+4 | — | 20 | 1 | no | — |
| 402 | C2×#41 | — | 5 | 1 | no | — |
| 403 | C2×#41 | — | 5 | 1 | no | — |
| 404 | C2×#41 | — | 5 | 1 | no | — |
| 405 | C2×#41 | — | 10 | 1 | no | — |
| 406 | C2×#41 | — | 10 | 1 | no | — |
| 407 | C2×#41 | — | 20 | 1 | no | — |
| 408 | C22×Q8 | — | 10 | 1 | no | — |
| 409 | C22×Q8 | — | 10 | 1 | no | — |
| 410 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 411 | #137 | — | 10 | 2 | no | — |
| 412 | #137 | — | 20 | 1 | no | — |
| 413 | #135 | — | 10 | 2 | no | — |
| 414 | #135 | — | 10 | 2 | no | — |
| 415 | C2×Q16 | — | 5 | 1 | no | — |
| 416 | C2×Q16 | — | 10 | 1 | no | — |
| 417 | C2×SD16 | — | 5 | 1 | no | — |
| 418 | C2×SD16 | — | 5 | 1 | no | — |
| 419 | C2×SD16 | — | 10 | 1 | no | — |
| 420 | C2×D8 | — | 5 | 1 | no | — |
| 421 | #131 | — | 10 | 2 | no | — |
| 422 | #131 | — | 20 | 1 | no | — |
| 423 | C2×M16 | — | 5 | 1 | no | — |
| 424 | C2×M16 | — | 5 | 1 | no | — |
| 425 | C2×M16 | — | 5 | 1 | no | — |
| 426 | C2×M16 | — | 5 | 1 | no | — |
| 427 | C2×M16 | — | 10 | 1 | no | — |
| 428 | C22×C8 | — | 10 | 1 | no | — |
| 429 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 430 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 431 | C22⋊Q8 | — | 10 | 1 | no | — |
| 432 | C22⋊Q8 | — | 10 | 1 | no | — |
| 433 | #121 | — | 10 | 1 | no | — |
| 434 | #121 | — | 10 | 1 | no | — |
| 435 | #121 | — | 20 | 1 | no | — |
| 436 | C4×Q8 | — | 10 | 1 | no | — |
| 437 | C4×Q8 | — | 10 | 1 | no | — |
| 438 | C4×D4 | — | 10 | 1 | no | — |
| 439 | C4×D4 | — | 10 | 1 | no | — |
| 440 | C4×D4 | — | 20 | 1 | no | — |
| 441 | C4×D4 | — | 20 | 1 | no | — |
| 442 | #117 | — | 5 | 1 | no | — |
| 443 | #117 | — | 10 | 1 | no | — |
| 444 | #117 | — | 10 | 1 | no | — |
| 445 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 446 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 447 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 448 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 449 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 450 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 451 | #108 | — | 20 | 1 | no | — |
| 452 | #107 | — | 2 | 1 | no | — |
| 453 | #107 | — | 2 | 1 | no | — |
| 454 | #107 | — | 10 | 1 | no | — |
| 455 | #106 | — | 2 | 1 | no | — |
| 456 | #106 | — | 2 | 1 | no | — |
| 457 | #106 | — | 10 | 1 | no | — |
| 458 | #104 | — | 10 | 2 | no | — |
| 459 | #104 | — | 20 | 1 | no | — |
| 460 | #104 | — | 20 | 1 | no | — |
| 461 | #103 | — | 2 | 1 | no | — |
| 462 | #103 | — | 2 | 1 | no | — |
| 463 | #103 | — | 2 | 1 | no | — |
| 464 | #103 | — | 2 | 1 | no | — |
| 465 | #103 | — | 5 | 1 | no | — |
| 466 | #103 | — | 5 | 1 | no | — |
| 467 | #103 | — | 10 | 1 | no | — |
| 468 | #103 | — | 10 | 1 | no | — |
| 469 | #103 | — | 10 | 1 | no | — |
| 470 | #103 | — | 10 | 1 | no | — |
| 471 | #103 | — | 10 | 1 | no | — |
| 472 | #103 | — | 10 | 1 | no | — |
| 473 | #103 | — | 10 | 1 | no | — |
| 474 | #102 | — | 5 | 1 | no | — |
| 475 | #102 | — | 5 | 1 | no | — |
| 476 | #102 | — | 10 | 1 | no | — |
| 477 | #102 | — | 10 | 1 | no | — |
| 478 | #102 | — | 10 | 1 | no | — |
| 479 | #102 | — | 10 | 1 | no | — |
| 480 | #102 | — | 10 | 1 | no | — |
| 481 | #101 | — | 10 | 2 | no | — |
| 482 | C22⋊C8 | — | 10 | 1 | no | — |
| 483 | C22⋊C8 | — | 10 | 1 | no | — |
| 484 | C22⋊C8 | — | 10 | 1 | no | — |
| 485 | C22⋊C8 | — | 10 | 1 | no | — |
| 486 | #97 | — | 10 | 1 | no | — |
| 487 | C4×C8 | — | 10 | 1 | no | — |
| 488 | #95 | — | 4 | 1 | no | — |
| 489 | #95 | — | 4 | 1 | no | — |
| 490 | C22×C5 | — | 2 | 1 | no | — |
| 491 | C22×C5 | — | 2 | 1 | no | — |
| 492 | C22×C5 | #538 | 1 | 1 | yes | characteristic |
| 493 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 494 | C22×C5 | #551 | 1 | 1 | yes | characteristic |
| 495 | C2×D5 | — | 2 | 2 | no | — |
| 496 | C2×D5 | — | 4 | 1 | no | — |
| 497 | C2×D5 | — | 4 | 1 | no | — |
| 498 | C2×D5 | — | 4 | 1 | no | — |
| 499 | C2×D5 | — | 4 | 1 | no | — |
| 500 | C2×D5 | — | 4 | 1 | no | — |
| 501 | C2×D5 | — | 4 | 1 | no | — |
| 502 | C2×D5 | — | 4 | 1 | no | — |
| 503 | C2×D5 | — | 4 | 1 | no | — |
| 504 | C4×C5 | — | 4 | 2 | no | — |
| 505 | C4×C5 | — | 8 | 1 | no | — |
| 506 | C4×C5 | — | 8 | 1 | no | — |
| 507 | C4×C5 | — | 8 | 1 | no | — |
| 508 | C4×C5 | — | 8 | 1 | no | — |
| 509 | C4×C5 | C2×#123 | 1 | 1 | yes | characteristic |
| 510 | C4×C5 | #525 | 1 | 1 | yes | characteristic |
| 511 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 512 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 513 | Dic5 | — | 2 | 2 | no | — |
| 514 | Dic5 | — | 4 | 1 | no | — |
| 515 | Dic5 | — | 4 | 1 | no | — |
| 516 | Dic5 | — | 4 | 1 | no | — |
| 517 | Dic5 | — | 4 | 1 | no | — |
| 518 | #41 | — | 5 | 2 | no | — |
| 519 | #41 | — | 5 | 2 | no | — |
| 520 | #41 | — | 10 | 1 | no | — |
| 521 | #41 | — | 10 | 1 | no | — |
| 522 | #41 | — | 10 | 4 | no | — |
| 523 | #41 | — | 10 | 1 | no | — |
| 524 | #41 | — | 10 | 1 | no | — |
| 525 | #41 | — | 10 | 1 | no | — |
| 526 | #41 | — | 10 | 1 | no | — |
| 527 | #41 | — | 10 | 1 | no | — |
| 528 | #41 | — | 10 | 1 | no | — |
| 529 | #41 | — | 10 | 1 | no | — |
| 530 | #41 | — | 10 | 1 | no | — |
| 531 | #41 | — | 20 | 4 | no | — |
| 532 | #41 | — | 20 | 4 | no | — |
| 533 | #41 | — | 20 | 2 | no | — |
| 534 | #41 | — | 20 | 2 | no | — |
| 535 | #41 | — | 20 | 2 | no | — |
| 536 | C2×Q8 | — | 2 | 1 | no | — |
| 537 | C2×Q8 | — | 2 | 1 | no | — |
| 538 | C2×Q8 | — | 2 | 1 | no | — |
| 539 | C2×Q8 | — | 2 | 1 | no | — |
| 540 | C2×Q8 | — | 2 | 1 | no | — |
| 541 | C2×Q8 | — | 5 | 1 | no | — |
| 542 | C2×Q8 | — | 5 | 1 | no | — |
| 543 | C2×Q8 | — | 5 | 1 | no | — |
| 544 | C2×Q8 | — | 10 | 4 | no | — |
| 545 | C2×Q8 | — | 20 | 1 | no | — |
| 546 | C2×Q8 | — | 20 | 2 | no | — |
| 547 | C2×Q8 | — | 20 | 2 | no | — |
| 548 | C2×Q8 | — | 20 | 2 | no | — |
| 549 | C2×Q8 | #713 | 1 | 2 | yes | — |
| 550 | C2×D4 | — | 5 | 1 | no | — |
| 551 | C2×D4 | — | 5 | 1 | no | — |
| 552 | C2×D4 | — | 5 | 1 | no | — |
| 553 | C2×D4 | — | 10 | 1 | no | — |
| 554 | C2×D4 | — | 10 | 1 | no | — |
| 555 | C2×D4 | — | 10 | 1 | no | — |
| 556 | C2×D4 | — | 20 | 1 | no | — |
| 557 | C2×D4 | — | 20 | 1 | no | — |
| 558 | C22×C4 | — | 2 | 1 | no | — |
| 559 | C22×C4 | — | 2 | 1 | no | — |
| 560 | C22×C4 | — | 2 | 1 | no | — |
| 561 | C22×C4 | — | 2 | 1 | no | — |
| 562 | C22×C4 | — | 2 | 1 | no | — |
| 563 | C22×C4 | — | 10 | 1 | no | — |
| 564 | C22×C4 | — | 10 | 1 | no | — |
| 565 | C22×C4 | — | 10 | 1 | no | — |
| 566 | C22×C4 | — | 20 | 1 | no | — |
| 567 | C22×C4 | — | 20 | 1 | no | — |
| 568 | C22×C4 | — | 20 | 1 | no | — |
| 569 | C22×C4 | — | 20 | 1 | no | — |
| 570 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 571 | Q16 | — | 10 | 2 | no | — |
| 572 | Q16 | — | 20 | 2 | no | — |
| 573 | SD16 | — | 10 | 2 | no | — |
| 574 | SD16 | — | 10 | 2 | no | — |
| 575 | SD16 | — | 20 | 2 | no | — |
| 576 | D8 | — | 10 | 2 | no | — |
| 577 | M16 | — | 10 | 1 | no | — |
| 578 | M16 | — | 10 | 1 | no | — |
| 579 | M16 | — | 10 | 1 | no | — |
| 580 | M16 | — | 10 | 1 | no | — |
| 581 | M16 | — | 10 | 1 | no | — |
| 582 | M16 | — | 10 | 1 | no | — |
| 583 | M16 | — | 10 | 1 | no | — |
| 584 | M16 | — | 10 | 1 | no | — |
| 585 | M16 | — | 20 | 2 | no | — |
| 586 | C2×C8 | — | 2 | 1 | no | — |
| 587 | C2×C8 | — | 2 | 1 | no | — |
| 588 | C2×C8 | — | 2 | 1 | no | — |
| 589 | C2×C8 | — | 2 | 1 | no | — |
| 590 | C2×C8 | — | 10 | 1 | no | — |
| 591 | C2×C8 | — | 10 | 1 | no | — |
| 592 | C2×C8 | — | 10 | 1 | no | — |
| 593 | C2×C8 | — | 10 | 1 | no | — |
| 594 | C2×C8 | — | 20 | 2 | no | — |
| 595 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 596 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 597 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 598 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 599 | C4⋊C4 | — | 2 | 1 | no | — |
| 600 | C4⋊C4 | — | 2 | 1 | no | — |
| 601 | C4⋊C4 | — | 2 | 1 | no | — |
| 602 | C4⋊C4 | — | 2 | 1 | no | — |
| 603 | C4⋊C4 | — | 2 | 1 | no | — |
| 604 | C4⋊C4 | — | 2 | 1 | no | — |
| 605 | C4⋊C4 | — | 5 | 1 | no | — |
| 606 | C4⋊C4 | — | 5 | 1 | no | — |
| 607 | C4⋊C4 | — | 20 | 1 | no | — |
| 608 | C4⋊C4 | — | 20 | 1 | no | — |
| 609 | C4⋊C4 | — | 20 | 1 | no | — |
| 610 | C22⋊C4 | — | 10 | 1 | no | — |
| 611 | C22⋊C4 | — | 20 | 1 | no | — |
| 612 | C22⋊C4 | — | 20 | 1 | no | — |
| 613 | C22⋊C4 | — | 20 | 1 | no | — |
| 614 | C22⋊C4 | — | 20 | 1 | no | — |
| 615 | C42 | — | 2 | 1 | no | — |
| 616 | C42 | — | 2 | 1 | no | — |
| 617 | C42 | — | 10 | 1 | no | — |
| 618 | C42 | — | 20 | 1 | no | — |
| 619 | C42 | — | 20 | 1 | no | — |
| 620 | C2×C5 | — | 2 | 1 | no | — |
| 621 | C2×C5 | — | 2 | 1 | no | — |
| 622 | C2×C5 | #2418 | 1 | 1 | yes | characteristic |
| 623 | C2×C5 | #3289 | 1 | 1 | yes | characteristic |
| 624 | C2×C5 | #3290 | 1 | 1 | yes | characteristic |
| 625 | D5 | — | 4 | 2 | no | — |
| 626 | D5 | — | 8 | 1 | no | — |
| 627 | D5 | — | 8 | 1 | no | — |
| 628 | C23 | — | 10 | 1 | no | — |
| 629 | C23 | — | 10 | 1 | no | — |
| 630 | C23 | — | 10 | 1 | no | — |
| 631 | C23 | #4144 | 1 | 1 | yes | characteristic |
| 632 | Q8 | — | 2 | 2 | no | — |
| 633 | Q8 | — | 2 | 2 | no | — |
| 634 | Q8 | — | 4 | 1 | no | — |
| 635 | Q8 | — | 4 | 1 | no | — |
| 636 | Q8 | — | 5 | 2 | no | — |
| 637 | Q8 | — | 10 | 1 | no | — |
| 638 | Q8 | — | 10 | 1 | no | — |
| 639 | Q8 | — | 10 | 1 | no | — |
| 640 | Q8 | — | 10 | 1 | no | — |
| 641 | Q8 | — | 10 | 1 | no | — |
| 642 | Q8 | — | 20 | 4 | no | — |
| 643 | D4 | — | 5 | 2 | no | — |
| 644 | D4 | — | 10 | 2 | no | — |
| 645 | D4 | — | 10 | 2 | no | — |
| 646 | D4 | — | 10 | 1 | no | — |
| 647 | D4 | — | 10 | 1 | no | — |
| 648 | D4 | — | 10 | 1 | no | — |
| 649 | D4 | — | 10 | 1 | no | — |
| 650 | D4 | — | 10 | 1 | no | — |
| 651 | D4 | — | 20 | 4 | no | — |
| 652 | D4 | — | 20 | 1 | no | — |
| 653 | D4 | — | 20 | 1 | no | — |
| 654 | D4 | — | 20 | 1 | no | — |
| 655 | D4 | — | 20 | 1 | no | — |
| 656 | D4 | — | 80 | 1 | no | — |
| 657 | C2×C4 | — | 2 | 2 | no | — |
| 658 | C2×C4 | — | 4 | 1 | no | — |
| 659 | C2×C4 | — | 4 | 1 | no | — |
| 660 | C2×C4 | — | 4 | 1 | no | — |
| 661 | C2×C4 | — | 4 | 1 | no | — |
| 662 | C2×C4 | — | 4 | 1 | no | — |
| 663 | C2×C4 | — | 4 | 1 | no | — |
| 664 | C2×C4 | — | 4 | 1 | no | — |
| 665 | C2×C4 | — | 4 | 1 | no | — |
| 666 | C2×C4 | — | 8 | 1 | no | — |
| 667 | C2×C4 | — | 8 | 1 | no | — |
| 668 | C2×C4 | — | 8 | 1 | no | — |
| 669 | C2×C4 | — | 10 | 1 | no | — |
| 670 | C2×C4 | — | 10 | 2 | no | — |
| 671 | C2×C4 | — | 10 | 2 | no | — |
| 672 | C2×C4 | — | 10 | 1 | no | — |
| 673 | C2×C4 | — | 10 | 1 | no | — |
| 674 | C2×C4 | — | 10 | 1 | no | — |
| 675 | C2×C4 | — | 10 | 1 | no | — |
| 676 | C2×C4 | — | 20 | 4 | no | — |
| 677 | C2×C4 | — | 20 | 4 | no | — |
| 678 | C2×C4 | — | 20 | 1 | no | — |
| 679 | C2×C4 | — | 20 | 1 | no | — |
| 680 | C2×C4 | — | 20 | 1 | no | — |
| 681 | C2×C4 | — | 20 | 1 | no | — |
| 682 | C2×C4 | — | 80 | 1 | no | — |
| 683 | C2×C4 | — | 80 | 1 | no | — |
| 684 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 685 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 686 | C2×C4 | C2×#713 | 1 | 1 | yes | characteristic |
| 687 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 688 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 689 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 690 | C8 | — | 2 | 1 | no | — |
| 691 | C8 | — | 2 | 1 | no | — |
| 692 | C8 | — | 2 | 1 | no | — |
| 693 | C8 | — | 2 | 1 | no | — |
| 694 | C8 | — | 20 | 1 | no | — |
| 695 | C8 | — | 20 | 1 | no | — |
| 696 | C8 | — | 20 | 1 | no | — |
| 697 | C8 | — | 20 | 1 | no | — |
| 698 | C5 | #24927 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 699 | C22 | — | 2 | 1 | no | — |
| 700 | C22 | — | 2 | 1 | no | — |
| 701 | C22 | — | 10 | 2 | no | — |
| 702 | C22 | — | 20 | 1 | no | — |
| 703 | C22 | — | 20 | 1 | no | — |
| 704 | C22 | — | 20 | 1 | no | — |
| 705 | C22 | — | 20 | 1 | no | — |
| 706 | C22 | — | 20 | 1 | no | — |
| 707 | C22 | — | 20 | 1 | no | — |
| 708 | C22 | — | 20 | 1 | no | — |
| 709 | C22 | — | 20 | 1 | no | — |
| 710 | C22 | #65971 | 1 | 1 | yes | characteristic |
| 711 | C22 | #65991 | 1 | 1 | yes | characteristic |
| 712 | C22 | #66051 | 1 | 1 | yes | characteristic |
| 713 | C4 | — | 4 | 2 | no | — |
| 714 | C4 | — | 8 | 1 | no | — |
| 715 | C4 | — | 8 | 1 | no | — |
| 716 | C4 | — | 8 | 1 | no | — |
| 717 | C4 | — | 8 | 1 | no | — |
| 718 | C4 | — | 10 | 2 | no | — |
| 719 | C4 | — | 20 | 1 | no | — |
| 720 | C4 | — | 20 | 1 | no | — |
| 721 | C4 | — | 20 | 1 | no | — |
| 722 | C4 | — | 20 | 1 | no | — |
| 723 | C4 | #65961 | 1 | 1 | yes | characteristic |
| 724 | C4 | #65964 | 1 | 1 | yes | characteristic |
| 725 | C4 | D5×#123 | 1 | 1 | yes | characteristic |
| 726 | C4 | #65988 | 1 | 1 | yes | characteristic |
| 727 | C2 | — | 2 | 1 | no | — |
| 728 | C2 | — | 2 | 1 | no | — |
| 729 | C2 | — | 20 | 2 | no | — |
| 730 | C2 | — | 40 | 1 | no | — |
| 731 | C2 | — | 40 | 1 | no | — |
| 732 | C2 | #10609832 | 1 | 1 | yes | characteristic |
| 733 | C2 | #10613566 | 1 | 1 | yes | characteristic |
| 734 | C2 | #10613616 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta