| 1 | C2×#11763227 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #14537381 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #14537380 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #14530572 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #14530571 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #14530569 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #14530567 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #14530566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#11762634 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | D17×#366 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C17×#2159 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#10587587 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11763290 | — | 2 | 1 | no | — |
| 14 | #11763289 | — | 2 | 1 | no | — |
| 15 | #11763227 | C4 | 1 | 8 | yes | complemented |
| 16 | C2×#10587469 | C22 | 1 | 2 | yes | — |
| 17 | C22×#63214 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C16×D17 | C22 | 1 | 2 | yes | — |
| 19 | #11762852 | — | 2 | 1 | no | — |
| 20 | #11762850 | — | 2 | 2 | no | — |
| 21 | #11762849 | — | 2 | 1 | no | — |
| 22 | #11762848 | — | 2 | 2 | no | — |
| 23 | #11762847 | C22 | 1 | 1 | yes | characteristic |
| 24 | #11762846 | C22 | 1 | 2 | yes | — |
| 25 | #11762846 | C22 | 1 | 2 | yes | — |
| 26 | C2×#10587489 | C22 | 1 | 1 | yes | characteristic |
| 27 | #107×D17 | C22 | 1 | 2 | yes | — |
| 28 | #107×D17 | C22 | 1 | 2 | yes | — |
| 29 | #11762637 | C22 | 1 | 2 | yes | — |
| 30 | #11762636 | C22 | 1 | 1 | yes | characteristic |
| 31 | #11762636 | C22 | 1 | 1 | yes | characteristic |
| 32 | #11762635 | C22 | 1 | 2 | yes | — |
| 33 | #11762634 | C22 | 1 | 2 | yes | — |
| 34 | #11762634 | C22 | 1 | 2 | yes | — |
| 35 | #11762634 | C22 | 1 | 1 | yes | characteristic |
| 36 | #11762634 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×C17×M32 | C22 | 1 | 1 | yes | characteristic |
| 38 | C17×#427 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×C17×#107 | C22 | 1 | 1 | yes | characteristic |
| 40 | C17×#367 | C22 | 1 | 2 | yes | — |
| 41 | C17×#366 | C22 | 1 | 2 | yes | — |
| 42 | C2×#63252 | D4 | 1 | 1 | yes | characteristic |
| 43 | C22×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 44 | C17×#117 | — | 2 | 1 | no | — |
| 45 | C2×C4⋊C4×C17 | — | 2 | 1 | no | — |
| 46 | C4×C22⋊D17 | — | 4 | 2 | no | — |
| 47 | #10587612 | — | 2 | 1 | no | — |
| 48 | C2×C4⋊Dic17 | — | 2 | 1 | no | — |
| 49 | C2×#63223 | D4 | 1 | 1 | yes | characteristic |
| 50 | #10587587 | C2×C4 | 1 | 4 | yes | — |
| 51 | #10587587 | Q8 | 1 | 4 | yes | — |
| 52 | C2×#63218 | D4 | 1 | 2 | yes | — |
| 53 | C2×C8×D17 | C23 | 1 | 2 | yes | — |
| 54 | #10587579 | — | 4 | 1 | no | — |
| 55 | #10587578 | — | 2 | 2 | no | — |
| 56 | #10587578 | — | 2 | 2 | no | — |
| 57 | C4⋊C4×D17 | — | 2 | 2 | no | — |
| 58 | C4⋊C4×D17 | — | 2 | 2 | no | — |
| 59 | #10587573 | — | 4 | 1 | no | — |
| 60 | #10587567 | — | 4 | 2 | no | — |
| 61 | C4×D68 | — | 4 | 1 | no | — |
| 62 | C4×Dic34 | — | 4 | 1 | no | — |
| 63 | C17×M32 | C2×C4 | 1 | 4 | yes | complemented |
| 64 | C2×C16×C17 | C23 | 1 | 2 | yes | — |
| 65 | C17×#107 | — | 2 | 1 | no | — |
| 66 | C17×#107 | C23 | 1 | 1 | yes | characteristic |
| 67 | C17×#107 | C23 | 1 | 2 | yes | — |
| 68 | C17×#107 | C23 | 1 | 1 | yes | characteristic |
| 69 | C17×#106 | — | 2 | 1 | no | — |
| 70 | #10587489 | — | 2 | 1 | no | — |
| 71 | #10587489 | C23 | 1 | 1 | yes | characteristic |
| 72 | #10587489 | C23 | 1 | 2 | yes | — |
| 73 | #10587489 | C23 | 1 | 1 | yes | characteristic |
| 74 | #10587488 | — | 2 | 1 | no | — |
| 75 | C2×#63214 | C2×C4 | 1 | 4 | yes | complemented |
| 76 | C2×#63214 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×#63214 | C23 | 1 | 1 | yes | characteristic |
| 78 | #10587479 | — | 2 | 2 | no | — |
| 79 | #10587479 | — | 2 | 2 | no | — |
| 80 | #10587478 | — | 2 | 2 | no | — |
| 81 | #10587478 | — | 2 | 2 | no | — |
| 82 | #10587469 | C2×C4 | 1 | 8 | yes | complemented |
| 83 | C16×D17 | C2×C4 | 1 | 8 | yes | complemented |
| 84 | C22×C4×C17 | — | 4 | 1 | no | — |
| 85 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | C2×C22⋊D17 | D8 | 1 | 2 | yes | — |
| 87 | C22×Dic17 | — | 4 | 1 | no | — |
| 88 | #63252 | C4⋊C4 | 1 | 4 | yes | — |
| 89 | #63252 | Q16 | 1 | 4 | yes | — |
| 90 | C2×D68 | D8 | 1 | 1 | yes | characteristic |
| 91 | C2×C4×D17 | — | 4 | 2 | no | — |
| 92 | C2×C4×D17 | — | 4 | 2 | no | — |
| 93 | C2×C4×D17 | C2×D4 | 1 | 2 | yes | — |
| 94 | C2×Dic34 | D8 | 1 | 1 | yes | characteristic |
| 95 | C2×C8×C17 | C22×C4 | 1 | 2 | yes | — |
| 96 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C2×C8×C17 | C2×Q8 | 1 | 2 | yes | — |
| 98 | C2×C8×C17 | C24 | 1 | 1 | yes | characteristic |
| 99 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 100 | C4⋊C4×C17 | — | 2 | 2 | no | — |
| 101 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 102 | C4⋊C4×C17 | — | 4 | 1 | no | — |
| 103 | C22⋊C4×C17 | — | 4 | 1 | no | — |
| 104 | C42×C17 | — | 4 | 1 | no | — |
| 105 | C22⋊Dic17 | — | 4 | 1 | no | — |
| 106 | #63227 | — | 4 | 2 | no | — |
| 107 | #63227 | — | 4 | 2 | no | — |
| 108 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 109 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 110 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 111 | C4⋊Dic17 | — | 4 | 1 | no | — |
| 112 | #63225 | — | 4 | 2 | no | — |
| 113 | #63225 | — | 4 | 2 | no | — |
| 114 | C4×Dic17 | — | 4 | 1 | no | — |
| 115 | C4×Dic17 | — | 4 | 2 | no | — |
| 116 | C4×Dic17 | — | 4 | 2 | no | — |
| 117 | #63223 | C4⋊C4 | 1 | 4 | yes | — |
| 118 | C2×#3622 | C2×D4 | 1 | 2 | yes | — |
| 119 | #63218 | C4⋊C4 | 1 | 8 | yes | — |
| 120 | C8×D17 | C22×C4 | 1 | 4 | yes | — |
| 121 | C8×D17 | C2×Q8 | 1 | 4 | yes | — |
| 122 | C16×C17 | C22×C4 | 1 | 4 | yes | — |
| 123 | #63214 | C22×C4 | 1 | 2 | yes | — |
| 124 | #63214 | C22×C4 | 1 | 2 | yes | — |
| 125 | #33410 | — | 17 | 1 | no | maximal, Sylow |
| 126 | C23×C17 | C2×D8 | 1 | 1 | yes | characteristic |
| 127 | C22×D17 | C2×D8 | 1 | 2 | yes | — |
| 128 | C2×C4×C17 | — | 4 | 1 | no | — |
| 129 | C2×C4×C17 | — | 4 | 1 | no | — |
| 130 | C2×C4×C17 | — | 4 | 2 | no | — |
| 131 | C2×C4×C17 | — | 16 | 1 | no | — |
| 132 | C2×C4×C17 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 133 | C2×C4×C17 | C2×D8 | 1 | 1 | yes | characteristic |
| 134 | C2×C4×C17 | C2×Q16 | 1 | 2 | yes | — |
| 135 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 136 | C22⋊D17 | #107 | 1 | 8 | yes | — |
| 137 | C2×Dic17 | — | 4 | 1 | no | — |
| 138 | C2×Dic17 | — | 4 | 1 | no | — |
| 139 | C2×Dic17 | — | 4 | 2 | no | — |
| 140 | C2×Dic17 | — | 16 | 1 | no | — |
| 141 | C2×Dic17 | C2×D8 | 1 | 2 | yes | — |
| 142 | D68 | #107 | 1 | 4 | yes | — |
| 143 | C4×D17 | — | 16 | 2 | no | — |
| 144 | C4×D17 | — | 16 | 2 | no | — |
| 145 | C4×D17 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 146 | C4×D17 | C2×Q16 | 1 | 4 | yes | — |
| 147 | Dic34 | #107 | 1 | 4 | yes | — |
| 148 | C8×C17 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 149 | C8×C17 | C23×C4 | 1 | 1 | yes | characteristic |
| 150 | C8×C17 | C22×Q8 | 1 | 1 | yes | characteristic |
| 151 | #3622 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 152 | C2×#504 | — | 17 | 1 | no | — |
| 153 | #2913 | — | 17 | 1 | no | — |
| 154 | #2913 | — | 17 | 1 | no | — |
| 155 | #2159 | — | 17 | 1 | no | — |
| 156 | #2159 | — | 17 | 2 | no | — |
| 157 | #2159 | — | 17 | 2 | no | — |
| 158 | #2159 | D17 | 1 | 1 | yes | characteristic, complemented |
| 159 | #2158 | — | 17 | 1 | no | — |
| 160 | #2158 | — | 17 | 2 | no | — |
| 161 | C2×#366 | — | 17 | 1 | no | — |
| 162 | C2×#366 | — | 17 | 2 | no | — |
| 163 | C22×C17 | — | 2 | 1 | no | — |
| 164 | C22×C17 | — | 2 | 1 | no | — |
| 165 | C22×C17 | C2×#107 | 1 | 2 | yes | — |
| 166 | C22×C17 | C22×D8 | 1 | 1 | yes | characteristic |
| 167 | C2×D17 | — | 2 | 2 | no | — |
| 168 | C2×D17 | — | 2 | 2 | no | — |
| 169 | C2×D17 | C2×#107 | 1 | 4 | yes | — |
| 170 | C4×C17 | — | 8 | 1 | no | — |
| 171 | C4×C17 | — | 8 | 2 | no | — |
| 172 | C4×C17 | — | 8 | 1 | no | — |
| 173 | C4×C17 | C2×#107 | 1 | 2 | yes | — |
| 174 | C4×C17 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 175 | C4×C17 | C22×Q16 | 1 | 1 | yes | characteristic |
| 176 | Dic17 | — | 8 | 1 | no | — |
| 177 | Dic17 | — | 8 | 2 | no | — |
| 178 | Dic17 | — | 8 | 1 | no | — |
| 179 | Dic17 | C2×#107 | 1 | 4 | yes | — |
| 180 | C2×#131 | — | 17 | 1 | no | — |
| 181 | #520 | — | 34 | 1 | no | — |
| 182 | #520 | — | 34 | 1 | no | — |
| 183 | #504 | — | 17 | 8 | no | — |
| 184 | C2×M32 | — | 17 | 2 | no | — |
| 185 | C2×M32 | C2×D17 | 1 | 1 | yes | characteristic |
| 186 | C22×C16 | — | 17 | 1 | no | — |
| 187 | C22×C16 | — | 17 | 2 | no | — |
| 188 | #428 | — | 34 | 2 | no | — |
| 189 | #428 | — | 34 | 2 | no | — |
| 190 | #428 | — | 34 | 1 | no | — |
| 191 | #428 | — | 34 | 1 | no | — |
| 192 | #427 | — | 17 | 1 | no | — |
| 193 | #427 | — | 17 | 2 | no | — |
| 194 | #427 | — | 17 | 2 | no | — |
| 195 | #427 | C2×D17 | 1 | 1 | yes | characteristic |
| 196 | C2×#107 | — | 17 | 1 | no | — |
| 197 | C2×#107 | — | 17 | 2 | no | — |
| 198 | C2×#107 | — | 17 | 2 | no | — |
| 199 | C2×#107 | C2×D17 | 1 | 1 | yes | characteristic |
| 200 | #367 | — | 17 | 2 | no | — |
| 201 | #367 | — | 17 | 1 | no | — |
| 202 | #367 | — | 17 | 1 | no | — |
| 203 | #367 | C2×D17 | 1 | 2 | yes | — |
| 204 | #366 | — | 17 | 2 | no | — |
| 205 | #366 | — | 17 | 2 | no | — |
| 206 | #366 | — | 17 | 1 | no | — |
| 207 | #366 | — | 17 | 2 | no | — |
| 208 | #366 | — | 17 | 1 | no | — |
| 209 | #366 | C2×D17 | 1 | 2 | yes | — |
| 210 | C2×C17 | — | 2 | 2 | no | — |
| 211 | C2×C17 | C22×#107 | 1 | 1 | yes | characteristic |
| 212 | C2×C17 | #3415 | 1 | 1 | yes | characteristic |
| 213 | C2×C17 | #3417 | 1 | 1 | yes | characteristic |
| 214 | D17 | — | 2 | 4 | no | — |
| 215 | C2×#41 | — | 17 | 1 | no | — |
| 216 | #131 | — | 17 | 4 | no | — |
| 217 | #131 | — | 17 | 4 | no | — |
| 218 | C2×M16 | — | 17 | 1 | no | — |
| 219 | C2×M16 | — | 17 | 2 | no | — |
| 220 | C22×C8 | — | 17 | 2 | no | — |
| 221 | C22×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 222 | C4×Q8 | — | 68 | 1 | no | — |
| 223 | C4×Q8 | — | 68 | 1 | no | — |
| 224 | C4×D4 | — | 68 | 1 | no | — |
| 225 | C4×D4 | — | 68 | 2 | no | — |
| 226 | C4×D4 | — | 68 | 1 | no | — |
| 227 | C4×D4 | — | 68 | 2 | no | — |
| 228 | #117 | — | 2 | 1 | no | — |
| 229 | #117 | — | 34 | 2 | no | — |
| 230 | #117 | — | 34 | 2 | no | — |
| 231 | #117 | — | 34 | 1 | no | — |
| 232 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 233 | C2×C4⋊C4 | — | 34 | 2 | no | — |
| 234 | C2×C4⋊C4 | — | 34 | 2 | no | — |
| 235 | C2×C4⋊C4 | — | 34 | 1 | no | — |
| 236 | M32 | — | 17 | 8 | no | — |
| 237 | M32 | C4×D17 | 1 | 4 | yes | complemented |
| 238 | C2×C16 | — | 17 | 4 | no | — |
| 239 | C2×C16 | — | 17 | 1 | no | — |
| 240 | C2×C16 | — | 17 | 1 | no | — |
| 241 | C2×C16 | — | 17 | 8 | no | — |
| 242 | C2×C16 | C22×D17 | 1 | 2 | yes | — |
| 243 | #107 | — | 2 | 1 | no | — |
| 244 | #107 | — | 17 | 1 | no | — |
| 245 | #107 | — | 17 | 2 | no | — |
| 246 | #107 | — | 17 | 1 | no | — |
| 247 | #107 | — | 34 | 2 | no | — |
| 248 | #107 | — | 34 | 2 | no | — |
| 249 | #107 | — | 34 | 1 | no | — |
| 250 | #107 | C22×D17 | 1 | 2 | yes | — |
| 251 | #107 | C22×D17 | 1 | 1 | yes | characteristic |
| 252 | #107 | C22×D17 | 1 | 1 | yes | characteristic |
| 253 | #106 | — | 2 | 1 | no | — |
| 254 | #106 | — | 34 | 2 | no | — |
| 255 | #106 | — | 34 | 2 | no | — |
| 256 | #106 | — | 34 | 1 | no | — |
| 257 | C17 | #33410 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 258 | #41 | — | 17 | 4 | no | — |
| 259 | #41 | — | 17 | 4 | no | — |
| 260 | C2×Q8 | — | 17 | 1 | no | — |
| 261 | C2×D4 | — | 17 | 2 | no | — |
| 262 | C2×D4 | — | 17 | 1 | no | — |
| 263 | C22×C4 | — | 4 | 1 | no | — |
| 264 | C22×C4 | — | 17 | 2 | no | — |
| 265 | C22×C4 | — | 68 | 2 | no | — |
| 266 | C22×C4 | — | 68 | 2 | no | — |
| 267 | C22×C4 | — | 68 | 1 | no | — |
| 268 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 269 | M16 | — | 17 | 4 | no | — |
| 270 | M16 | — | 17 | 8 | no | — |
| 271 | C2×C8 | — | 17 | 2 | no | — |
| 272 | C2×C8 | — | 17 | 4 | no | — |
| 273 | C2×C8 | — | 17 | 4 | no | — |
| 274 | C2×C8 | C2×C4×D17 | 1 | 2 | yes | — |
| 275 | C2×C8 | D4×D17 | 1 | 1 | yes | characteristic |
| 276 | C2×C8 | Q8×D17 | 1 | 2 | yes | — |
| 277 | C2×C8 | C23×D17 | 1 | 1 | yes | characteristic |
| 278 | C4⋊C4 | — | 2 | 1 | no | — |
| 279 | C4⋊C4 | — | 2 | 1 | no | — |
| 280 | C4⋊C4 | — | 2 | 2 | no | — |
| 281 | C4⋊C4 | — | 4 | 1 | no | — |
| 282 | C4⋊C4 | — | 34 | 1 | no | — |
| 283 | C4⋊C4 | — | 34 | 2 | no | — |
| 284 | C4⋊C4 | — | 34 | 1 | no | — |
| 285 | C4⋊C4 | — | 68 | 2 | no | — |
| 286 | C4⋊C4 | — | 68 | 2 | no | — |
| 287 | C4⋊C4 | — | 68 | 1 | no | — |
| 288 | C22⋊C4 | — | 4 | 1 | no | — |
| 289 | C22⋊C4 | — | 68 | 2 | no | — |
| 290 | C22⋊C4 | — | 68 | 2 | no | — |
| 291 | C22⋊C4 | — | 68 | 1 | no | — |
| 292 | C42 | — | 4 | 1 | no | — |
| 293 | C42 | — | 68 | 2 | no | — |
| 294 | C42 | — | 68 | 2 | no | — |
| 295 | C42 | — | 68 | 1 | no | — |
| 296 | C16 | — | 17 | 2 | no | — |
| 297 | C16 | — | 17 | 2 | no | — |
| 298 | C16 | C2×C4×D17 | 1 | 4 | yes | — |
| 299 | C23 | — | 17 | 2 | no | — |
| 300 | C23 | D8×D17 | 1 | 1 | yes | characteristic |
| 301 | Q8 | — | 17 | 4 | no | — |
| 302 | D4 | — | 17 | 8 | no | — |
| 303 | D4 | — | 17 | 4 | no | — |
| 304 | C2×C4 | — | 4 | 1 | no | — |
| 305 | C2×C4 | — | 4 | 1 | no | — |
| 306 | C2×C4 | — | 4 | 2 | no | — |
| 307 | C2×C4 | — | 16 | 1 | no | — |
| 308 | C2×C4 | — | 272 | 2 | no | — |
| 309 | C2×C4 | — | 272 | 2 | no | — |
| 310 | C2×C4 | — | 272 | 1 | no | — |
| 311 | C2×C4 | — | 17 | 2 | no | — |
| 312 | C2×C4 | — | 17 | 4 | no | — |
| 313 | C2×C4 | — | 17 | 4 | no | — |
| 314 | C2×C4 | — | 68 | 1 | no | — |
| 315 | C2×C4 | — | 68 | 2 | no | — |
| 316 | C2×C4 | — | 68 | 1 | no | — |
| 317 | C2×C4 | C4⋊C4×D17 | 1 | 2 | yes | — |
| 318 | C2×C4 | D8×D17 | 1 | 1 | yes | characteristic |
| 319 | C2×C4 | Q16×D17 | 1 | 2 | yes | — |
| 320 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 321 | C8 | — | 17 | 4 | no | — |
| 322 | C8 | C4⋊C4×D17 | 1 | 2 | yes | — |
| 323 | C8 | C22×C4×D17 | 1 | 1 | yes | characteristic |
| 324 | C8 | C2×Q8×D17 | 1 | 1 | yes | characteristic |
| 325 | C22 | — | 2 | 1 | no | — |
| 326 | C22 | — | 2 | 1 | no | — |
| 327 | C22 | — | 17 | 4 | no | — |
| 328 | C22 | — | 34 | 2 | no | — |
| 329 | C22 | — | 34 | 2 | no | — |
| 330 | C22 | #107×D17 | 1 | 2 | yes | — |
| 331 | C22 | C2×D8×D17 | 1 | 1 | yes | characteristic |
| 332 | C4 | — | 8 | 2 | no | — |
| 333 | C4 | — | 8 | 1 | no | — |
| 334 | C4 | — | 8 | 1 | no | — |
| 335 | C4 | — | 17 | 4 | no | — |
| 336 | C4 | — | 136 | 1 | no | — |
| 337 | C4 | — | 136 | 2 | no | — |
| 338 | C4 | — | 136 | 1 | no | — |
| 339 | C4 | #107×D17 | 1 | 2 | yes | — |
| 340 | C4 | C2×C4⋊C4×D17 | 1 | 1 | yes | characteristic |
| 341 | C4 | C2×Q16×D17 | 1 | 1 | yes | characteristic |
| 342 | C2 | — | 2 | 2 | no | — |
| 343 | C2 | — | 34 | 4 | no | — |
| 344 | C2 | C2×#107×D17 | 1 | 1 | yes | characteristic |
| 345 | C2 | #14541924 | 1 | 1 | yes | characteristic |
| 346 | C2 | #14541936 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta