| 1 | #41×Dic15 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×Dic3×#41 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#41×Dic5 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11755268 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11755267 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | Q8×#1204 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11755147 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11755014 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #11755012 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #11755010 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | D4×#1204 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #11754617 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #11754616 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #11754615 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×C4×#1204 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | #41×Dic10 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×C3×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 18 | C22×#1204 | C22 | 1 | 3 | yes | — |
| 19 | Q8×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 20 | Q8×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 21 | D4×Dic15 | C22 | 1 | 3 | yes | — |
| 22 | D4×Dic15 | C22 | 1 | 3 | yes | — |
| 23 | #91815 | C22 | 1 | 3 | yes | — |
| 24 | C2×C4×Dic15 | C22 | 1 | 3 | yes | — |
| 25 | C5×Q8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 26 | C5×Q8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 27 | C5×D4×Dic3 | C22 | 1 | 3 | yes | — |
| 28 | C5×D4×Dic3 | C22 | 1 | 3 | yes | — |
| 29 | C5×#926 | C22 | 1 | 3 | yes | — |
| 30 | C2×C4×C5×Dic3 | C22 | 1 | 3 | yes | — |
| 31 | C3×Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 33 | C3×D4×Dic5 | C22 | 1 | 3 | yes | — |
| 34 | C3×D4×Dic5 | C22 | 1 | 3 | yes | — |
| 35 | C3×#4072 | C22 | 1 | 3 | yes | — |
| 36 | C2×C3×C4×Dic5 | C22 | 1 | 3 | yes | — |
| 37 | #91576 | C22 | 1 | 6 | yes | — |
| 38 | #91576 | C22 | 1 | 6 | yes | — |
| 39 | #91575 | C22 | 1 | 6 | yes | — |
| 40 | #91575 | C22 | 1 | 6 | yes | — |
| 41 | #91574 | C22 | 1 | 6 | yes | — |
| 42 | #91574 | C22 | 1 | 6 | yes | — |
| 43 | C2×Dic3⋊Dic5 | C22 | 1 | 3 | yes | — |
| 44 | C2×#6669 | C22 | 1 | 3 | yes | — |
| 45 | C2×#6668 | C22 | 1 | 3 | yes | — |
| 46 | #91470 | C22 | 1 | 3 | yes | — |
| 47 | #91470 | C22 | 1 | 3 | yes | — |
| 48 | #91469 | C22 | 1 | 3 | yes | — |
| 49 | #91469 | C22 | 1 | 3 | yes | — |
| 50 | #91468 | C22 | 1 | 3 | yes | — |
| 51 | #91468 | C22 | 1 | 3 | yes | — |
| 52 | C4×#1204 | C22 | 1 | 3 | yes | — |
| 53 | C4×#1204 | C22 | 1 | 3 | yes | — |
| 54 | C4×#1204 | C22 | 1 | 3 | yes | — |
| 55 | C4×#1204 | C22 | 1 | 1 | yes | characteristic |
| 56 | C4×#1204 | C22 | 1 | 3 | yes | — |
| 57 | C4×#1204 | C22 | 1 | 3 | yes | — |
| 58 | C4×#1204 | C22 | 1 | 3 | yes | — |
| 59 | C4×#1204 | C22 | 1 | 3 | yes | — |
| 60 | C4×#1204 | C22 | 1 | 6 | yes | — |
| 61 | #91388 | C22 | 1 | 3 | yes | — |
| 62 | #91388 | C22 | 1 | 3 | yes | — |
| 63 | #91384 | C22 | 1 | 3 | yes | — |
| 64 | #91384 | C22 | 1 | 3 | yes | — |
| 65 | #91381 | C22 | 1 | 3 | yes | — |
| 66 | #91381 | C22 | 1 | 3 | yes | — |
| 67 | #41×Dic6 | — | 5 | 1 | no | maximal, Hall |
| 68 | C4×C5×#41 | — | 3 | 1 | no | — |
| 69 | #41×Dic5 | — | 3 | 1 | no | — |
| 70 | #41×Dic5 | D3 | 1 | 1 | yes | characteristic |
| 71 | #65904 | — | 3 | 1 | no | — |
| 72 | #65903 | — | 3 | 1 | no | — |
| 73 | #65903 | — | 3 | 1 | no | — |
| 74 | Q8×Dic10 | — | 3 | 1 | no | — |
| 75 | #65877 | — | 3 | 3 | no | — |
| 76 | #65873 | — | 3 | 3 | no | — |
| 77 | #65873 | — | 3 | 3 | no | — |
| 78 | D4×Dic10 | — | 3 | 3 | no | — |
| 79 | #65851 | — | 3 | 3 | no | — |
| 80 | #65851 | — | 3 | 3 | no | — |
| 81 | #65804 | — | 3 | 3 | no | — |
| 82 | C2×C4×Dic10 | — | 3 | 3 | no | — |
| 83 | C3×C5×#41 | Q8 | 1 | 8 | yes | complemented |
| 84 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×C5×D4 | C23 | 1 | 3 | yes | — |
| 86 | C22×C3×C4×C5 | C23 | 1 | 3 | yes | — |
| 87 | C22×Dic15 | C23 | 1 | 3 | yes | — |
| 88 | C22×Dic15 | C23 | 1 | 3 | yes | — |
| 89 | C22×C5×Dic3 | C23 | 1 | 3 | yes | — |
| 90 | C22×C5×Dic3 | C23 | 1 | 3 | yes | — |
| 91 | C22×C3×Dic5 | C23 | 1 | 3 | yes | — |
| 92 | C22×C3×Dic5 | C23 | 1 | 3 | yes | — |
| 93 | C2×#1204 | — | 2 | 12 | no | — |
| 94 | C2×#1204 | C23 | 1 | 3 | yes | — |
| 95 | C2×#1204 | C23 | 1 | 3 | yes | — |
| 96 | C2×#1204 | C23 | 1 | 3 | yes | — |
| 97 | C2×#1204 | C23 | 1 | 6 | yes | — |
| 98 | C2×#1204 | C23 | 1 | 1 | yes | characteristic |
| 99 | #6719 | C23 | 1 | 6 | yes | — |
| 100 | C4⋊Dic15 | C23 | 1 | 3 | yes | — |
| 101 | C4⋊Dic15 | C23 | 1 | 3 | yes | — |
| 102 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 103 | C4×Dic15 | C23 | 1 | 3 | yes | — |
| 104 | C4×Dic15 | C23 | 1 | 3 | yes | — |
| 105 | C4×Dic15 | C23 | 1 | 3 | yes | — |
| 106 | C5×#217 | C23 | 1 | 6 | yes | — |
| 107 | C5×C4⋊Dic3 | C23 | 1 | 3 | yes | — |
| 108 | C5×C4⋊Dic3 | C23 | 1 | 3 | yes | — |
| 109 | C4×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 110 | C4×C5×Dic3 | C23 | 1 | 3 | yes | — |
| 111 | C4×C5×Dic3 | C23 | 1 | 3 | yes | — |
| 112 | C4×C5×Dic3 | C23 | 1 | 3 | yes | — |
| 113 | C3×C22⋊Dic5 | C23 | 1 | 6 | yes | — |
| 114 | C3×C4⋊Dic5 | C23 | 1 | 3 | yes | — |
| 115 | C3×C4⋊Dic5 | C23 | 1 | 3 | yes | — |
| 116 | C3×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 117 | C3×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 118 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 119 | C3×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 120 | Dic3⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 121 | Dic3⋊Dic5 | C23 | 1 | 3 | yes | — |
| 122 | Dic3⋊Dic5 | C23 | 1 | 3 | yes | — |
| 123 | Dic3⋊Dic5 | C23 | 1 | 3 | yes | — |
| 124 | Dic3⋊Dic5 | C23 | 1 | 6 | yes | — |
| 125 | #6669 | C23 | 1 | 1 | yes | characteristic |
| 126 | #6669 | C23 | 1 | 3 | yes | — |
| 127 | #6669 | C23 | 1 | 3 | yes | — |
| 128 | #6669 | C23 | 1 | 3 | yes | — |
| 129 | #6669 | C23 | 1 | 6 | yes | — |
| 130 | #6668 | C23 | 1 | 1 | yes | characteristic |
| 131 | #6668 | C23 | 1 | 3 | yes | — |
| 132 | #6668 | C23 | 1 | 3 | yes | — |
| 133 | #6668 | C23 | 1 | 3 | yes | — |
| 134 | #6668 | C23 | 1 | 6 | yes | — |
| 135 | C3×C4×#41 | — | 5 | 1 | no | — |
| 136 | Dic3×#41 | — | 5 | 1 | no | — |
| 137 | Dic3×#41 | D5 | 1 | 1 | yes | characteristic |
| 138 | #5570 | — | 5 | 1 | no | — |
| 139 | #5569 | — | 5 | 1 | no | — |
| 140 | #5569 | — | 5 | 1 | no | — |
| 141 | Q8×Dic6 | — | 5 | 1 | no | — |
| 142 | #5543 | — | 5 | 3 | no | — |
| 143 | #5539 | — | 5 | 3 | no | — |
| 144 | #5539 | — | 5 | 3 | no | — |
| 145 | D4×Dic6 | — | 5 | 3 | no | — |
| 146 | #5517 | — | 5 | 3 | no | — |
| 147 | #5517 | — | 5 | 3 | no | — |
| 148 | #5470 | — | 5 | 3 | no | — |
| 149 | C2×C4×Dic6 | — | 5 | 3 | no | — |
| 150 | C2×C5×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 151 | C22×Dic10 | — | 3 | 3 | no | — |
| 152 | C4×C5×Q8 | — | 3 | 1 | no | — |
| 153 | C4×C5×Q8 | — | 3 | 1 | no | — |
| 154 | C4×C5×D4 | — | 3 | 3 | no | — |
| 155 | C4×C5×D4 | — | 3 | 3 | no | — |
| 156 | C5×#117 | — | 3 | 3 | no | — |
| 157 | C2×C42×C5 | — | 3 | 3 | no | — |
| 158 | Q8×Dic5 | — | 3 | 1 | no | — |
| 159 | Q8×Dic5 | — | 3 | 1 | no | — |
| 160 | Q8×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 161 | Q8×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 162 | D4×Dic5 | — | 3 | 3 | no | — |
| 163 | D4×Dic5 | — | 3 | 3 | no | — |
| 164 | D4×Dic5 | C2×D3 | 1 | 3 | yes | — |
| 165 | D4×Dic5 | C2×D3 | 1 | 3 | yes | — |
| 166 | #4072 | — | 3 | 3 | no | — |
| 167 | #4072 | C2×D3 | 1 | 3 | yes | — |
| 168 | C2×C4⋊Dic5 | — | 3 | 3 | no | — |
| 169 | #4070 | — | 3 | 6 | no | — |
| 170 | #4070 | — | 3 | 6 | no | — |
| 171 | C2×#683 | — | 3 | 3 | no | — |
| 172 | C2×#683 | — | 3 | 3 | no | — |
| 173 | C2×C4×Dic5 | — | 3 | 3 | no | — |
| 174 | C2×C4×Dic5 | C2×D3 | 1 | 3 | yes | — |
| 175 | #4036 | — | 3 | 3 | no | — |
| 176 | #4036 | — | 3 | 3 | no | — |
| 177 | #4036 | — | 3 | 3 | no | — |
| 178 | #4036 | — | 3 | 3 | no | — |
| 179 | #4034 | — | 3 | 3 | no | — |
| 180 | #4034 | — | 3 | 3 | no | — |
| 181 | #4034 | — | 3 | 3 | no | — |
| 182 | #4034 | — | 3 | 3 | no | — |
| 183 | #4024 | — | 3 | 6 | no | — |
| 184 | #4024 | — | 3 | 6 | no | — |
| 185 | #4024 | — | 3 | 6 | no | — |
| 186 | #4024 | — | 3 | 6 | no | — |
| 187 | #4016 | — | 3 | 3 | no | — |
| 188 | #4016 | — | 3 | 3 | no | — |
| 189 | #4015 | — | 3 | 3 | no | — |
| 190 | #4015 | — | 3 | 3 | no | — |
| 191 | C4×Dic10 | — | 3 | 1 | no | — |
| 192 | C4×Dic10 | — | 3 | 3 | no | — |
| 193 | C4×Dic10 | — | 3 | 3 | no | — |
| 194 | C4×Dic10 | — | 3 | 3 | no | — |
| 195 | C4×Dic10 | — | 3 | 3 | no | — |
| 196 | C4×Dic10 | — | 3 | 3 | no | — |
| 197 | C4×Dic10 | — | 3 | 3 | no | — |
| 198 | C4×Dic10 | — | 3 | 3 | no | — |
| 199 | C4×Dic10 | — | 3 | 6 | no | — |
| 200 | Q8×#41 | — | 15 | 1 | no | Sylow |
| 201 | C23×C3×C5 | C24 | 1 | 3 | yes | — |
| 202 | C3×C5×Q8 | C2×Q8 | 1 | 4 | yes | complemented |
| 203 | C3×C5×D4 | C2×Q8 | 1 | 12 | yes | complemented |
| 204 | C2×C3×C4×C5 | C2×Q8 | 1 | 12 | yes | complemented |
| 205 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 206 | C2×C3×C4×C5 | C24 | 1 | 3 | yes | — |
| 207 | C2×Dic15 | — | 2 | 6 | no | — |
| 208 | C2×Dic15 | — | 4 | 3 | no | — |
| 209 | C2×Dic15 | C24 | 1 | 1 | yes | characteristic |
| 210 | C2×Dic15 | C24 | 1 | 3 | yes | — |
| 211 | C2×Dic15 | C24 | 1 | 3 | yes | — |
| 212 | C2×Dic15 | C24 | 1 | 1 | yes | characteristic |
| 213 | C2×C5×Dic3 | — | 2 | 6 | no | — |
| 214 | C2×C5×Dic3 | — | 4 | 3 | no | — |
| 215 | C2×C5×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 216 | C2×C5×Dic3 | C24 | 1 | 3 | yes | — |
| 217 | C2×C5×Dic3 | C24 | 1 | 3 | yes | — |
| 218 | C2×C5×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 219 | C2×C3×Dic5 | — | 2 | 6 | no | — |
| 220 | C2×C3×Dic5 | — | 4 | 3 | no | — |
| 221 | C2×C3×Dic5 | C24 | 1 | 3 | yes | — |
| 222 | C2×C3×Dic5 | C24 | 1 | 3 | yes | — |
| 223 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 224 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 225 | #1204 | — | 2 | 6 | no | — |
| 226 | #1204 | — | 2 | 6 | no | — |
| 227 | #1204 | — | 2 | 6 | no | — |
| 228 | #1204 | — | 4 | 6 | no | — |
| 229 | #1204 | #41 | 1 | 4 | yes | direct product factor |
| 230 | C2×C3×#41 | C2×D5 | 1 | 1 | yes | characteristic |
| 231 | C22×Dic6 | — | 5 | 3 | no | — |
| 232 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 233 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 234 | C3×C4×D4 | — | 5 | 3 | no | — |
| 235 | C3×C4×D4 | — | 5 | 3 | no | — |
| 236 | C3×#117 | — | 5 | 3 | no | — |
| 237 | C2×C3×C42 | — | 5 | 3 | no | — |
| 238 | Q8×Dic3 | — | 5 | 1 | no | — |
| 239 | Q8×Dic3 | — | 5 | 1 | no | — |
| 240 | Q8×Dic3 | C2×D5 | 1 | 1 | yes | characteristic |
| 241 | Q8×Dic3 | C2×D5 | 1 | 1 | yes | characteristic |
| 242 | D4×Dic3 | — | 5 | 3 | no | — |
| 243 | D4×Dic3 | — | 5 | 3 | no | — |
| 244 | D4×Dic3 | C2×D5 | 1 | 3 | yes | — |
| 245 | D4×Dic3 | C2×D5 | 1 | 3 | yes | — |
| 246 | #926 | — | 5 | 3 | no | — |
| 247 | #926 | C2×D5 | 1 | 3 | yes | — |
| 248 | C2×C4⋊Dic3 | — | 5 | 3 | no | — |
| 249 | #924 | — | 5 | 6 | no | — |
| 250 | #924 | — | 5 | 6 | no | — |
| 251 | C2×Dic3⋊C4 | — | 5 | 3 | no | — |
| 252 | C2×Dic3⋊C4 | — | 5 | 3 | no | — |
| 253 | C2×C4×Dic3 | — | 5 | 3 | no | — |
| 254 | C2×C4×Dic3 | C2×D5 | 1 | 3 | yes | — |
| 255 | #890 | — | 5 | 3 | no | — |
| 256 | #890 | — | 5 | 3 | no | — |
| 257 | #890 | — | 5 | 3 | no | — |
| 258 | #890 | — | 5 | 3 | no | — |
| 259 | #888 | — | 5 | 3 | no | — |
| 260 | #888 | — | 5 | 3 | no | — |
| 261 | #888 | — | 5 | 3 | no | — |
| 262 | #888 | — | 5 | 3 | no | — |
| 263 | #878 | — | 5 | 6 | no | — |
| 264 | #878 | — | 5 | 6 | no | — |
| 265 | #878 | — | 5 | 6 | no | — |
| 266 | #878 | — | 5 | 6 | no | — |
| 267 | #870 | — | 5 | 3 | no | — |
| 268 | #870 | — | 5 | 3 | no | — |
| 269 | #869 | — | 5 | 3 | no | — |
| 270 | #869 | — | 5 | 3 | no | — |
| 271 | C4×Dic6 | — | 5 | 1 | no | — |
| 272 | C4×Dic6 | — | 5 | 3 | no | — |
| 273 | C4×Dic6 | — | 5 | 3 | no | — |
| 274 | C4×Dic6 | — | 5 | 3 | no | — |
| 275 | C4×Dic6 | — | 5 | 3 | no | — |
| 276 | C4×Dic6 | — | 5 | 3 | no | — |
| 277 | C4×Dic6 | — | 5 | 3 | no | — |
| 278 | C4×Dic6 | — | 5 | 3 | no | — |
| 279 | C4×Dic6 | — | 5 | 6 | no | — |
| 280 | C5×#41 | Dic6 | 1 | 8 | yes | complemented |
| 281 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 282 | C2×C5×D4 | C22×D3 | 1 | 3 | yes | — |
| 283 | C22×C4×C5 | — | 3 | 3 | no | — |
| 284 | C22×C4×C5 | — | 3 | 3 | no | — |
| 285 | C22×C4×C5 | C22×D3 | 1 | 3 | yes | — |
| 286 | C22×Dic5 | — | 3 | 3 | no | — |
| 287 | C22×Dic5 | — | 3 | 3 | no | — |
| 288 | C22×Dic5 | C22×D3 | 1 | 3 | yes | — |
| 289 | C22×Dic5 | C22×D3 | 1 | 3 | yes | — |
| 290 | C2×Dic10 | — | 3 | 1 | no | — |
| 291 | C2×Dic10 | — | 3 | 3 | no | — |
| 292 | C2×Dic10 | — | 3 | 3 | no | — |
| 293 | C2×Dic10 | — | 3 | 3 | no | — |
| 294 | C2×Dic10 | — | 3 | 6 | no | — |
| 295 | C2×Dic10 | — | 6 | 12 | no | — |
| 296 | C5×C4⋊C4 | — | 3 | 3 | no | — |
| 297 | C5×C4⋊C4 | — | 3 | 3 | no | — |
| 298 | C5×C22⋊C4 | — | 3 | 6 | no | — |
| 299 | C42×C5 | — | 3 | 1 | no | — |
| 300 | C42×C5 | — | 3 | 3 | no | — |
| 301 | C42×C5 | — | 3 | 3 | no | — |
| 302 | C42×C5 | — | 3 | 3 | no | — |
| 303 | C22⋊Dic5 | — | 3 | 6 | no | — |
| 304 | C22⋊Dic5 | C22×D3 | 1 | 6 | yes | — |
| 305 | C4⋊Dic5 | — | 3 | 3 | no | — |
| 306 | C4⋊Dic5 | — | 3 | 3 | no | — |
| 307 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 308 | C4⋊Dic5 | — | 3 | 3 | no | — |
| 309 | C4⋊Dic5 | — | 3 | 3 | no | — |
| 310 | C4⋊Dic5 | — | 3 | 3 | no | — |
| 311 | C4⋊Dic5 | — | 3 | 6 | no | — |
| 312 | C4⋊Dic5 | C22×D3 | 1 | 3 | yes | — |
| 313 | C4⋊Dic5 | C22×D3 | 1 | 3 | yes | — |
| 314 | #683 | — | 3 | 1 | no | — |
| 315 | #683 | — | 3 | 3 | no | — |
| 316 | #683 | — | 3 | 3 | no | — |
| 317 | #683 | — | 3 | 3 | no | — |
| 318 | #683 | — | 3 | 6 | no | — |
| 319 | #683 | — | 3 | 1 | no | — |
| 320 | #683 | — | 3 | 3 | no | — |
| 321 | #683 | — | 3 | 3 | no | — |
| 322 | #683 | — | 3 | 3 | no | — |
| 323 | #683 | — | 3 | 6 | no | — |
| 324 | C4×Dic5 | — | 3 | 1 | no | — |
| 325 | C4×Dic5 | — | 3 | 3 | no | — |
| 326 | C4×Dic5 | — | 3 | 3 | no | — |
| 327 | C4×Dic5 | — | 3 | 3 | no | — |
| 328 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 329 | C4×Dic5 | C22×D3 | 1 | 3 | yes | — |
| 330 | C4×Dic5 | C22×D3 | 1 | 3 | yes | — |
| 331 | C4×Dic5 | C22×D3 | 1 | 3 | yes | — |
| 332 | Q82 | — | 15 | 1 | no | — |
| 333 | #557 | — | 15 | 1 | no | — |
| 334 | #557 | — | 15 | 1 | no | — |
| 335 | #557 | — | 15 | 1 | no | — |
| 336 | #554 | — | 15 | 3 | no | — |
| 337 | #554 | — | 15 | 3 | no | — |
| 338 | #554 | — | 15 | 3 | no | — |
| 339 | D4×Q8 | — | 15 | 3 | no | — |
| 340 | #533 | — | 15 | 3 | no | — |
| 341 | #533 | — | 15 | 3 | no | — |
| 342 | #533 | — | 15 | 3 | no | — |
| 343 | C4×#41 | — | 3 | 1 | no | — |
| 344 | C4×#41 | — | 5 | 1 | no | — |
| 345 | C4×#41 | — | 15 | 1 | no | — |
| 346 | C2×C4×Q8 | — | 15 | 3 | no | — |
| 347 | C22×C3×C5 | — | 2 | 3 | no | — |
| 348 | C22×C3×C5 | — | 2 | 3 | no | — |
| 349 | C22×C3×C5 | C22×Q8 | 1 | 6 | yes | — |
| 350 | C22×C3×C5 | C25 | 1 | 1 | yes | characteristic |
| 351 | C3×C4×C5 | C22×Q8 | 1 | 2 | yes | — |
| 352 | C3×C4×C5 | C22×Q8 | 1 | 6 | yes | — |
| 353 | Dic15 | — | 2 | 3 | no | — |
| 354 | Dic15 | — | 2 | 3 | no | — |
| 355 | Dic15 | — | 2 | 1 | no | — |
| 356 | Dic15 | C2×#41 | 1 | 2 | yes | — |
| 357 | C3×Dic5 | — | 2 | 3 | no | — |
| 358 | C3×Dic5 | — | 2 | 3 | no | — |
| 359 | C3×Dic5 | — | 2 | 1 | no | — |
| 360 | C3×Dic5 | C2×#41 | 1 | 2 | yes | — |
| 361 | C5×Dic3 | — | 2 | 3 | no | — |
| 362 | C5×Dic3 | — | 2 | 3 | no | — |
| 363 | C5×Dic3 | — | 2 | 1 | no | — |
| 364 | C5×Dic3 | C2×#41 | 1 | 2 | yes | — |
| 365 | C3×#41 | Dic10 | 1 | 8 | yes | complemented |
| 366 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 367 | C2×C3×D4 | C22×D5 | 1 | 3 | yes | — |
| 368 | C22×C3×C4 | — | 5 | 3 | no | — |
| 369 | C22×C3×C4 | — | 5 | 3 | no | — |
| 370 | C22×C3×C4 | C22×D5 | 1 | 3 | yes | — |
| 371 | C22×Dic3 | — | 5 | 3 | no | — |
| 372 | C22×Dic3 | — | 5 | 3 | no | — |
| 373 | C22×Dic3 | C22×D5 | 1 | 3 | yes | — |
| 374 | C22×Dic3 | C22×D5 | 1 | 3 | yes | — |
| 375 | C2×Dic6 | — | 5 | 1 | no | — |
| 376 | C2×Dic6 | — | 5 | 3 | no | — |
| 377 | C2×Dic6 | — | 5 | 3 | no | — |
| 378 | C2×Dic6 | — | 5 | 3 | no | — |
| 379 | C2×Dic6 | — | 5 | 6 | no | — |
| 380 | C2×Dic6 | — | 10 | 12 | no | — |
| 381 | C3×C4⋊C4 | — | 5 | 3 | no | — |
| 382 | C3×C4⋊C4 | — | 5 | 3 | no | — |
| 383 | C3×C22⋊C4 | — | 5 | 6 | no | — |
| 384 | C3×C42 | — | 5 | 1 | no | — |
| 385 | C3×C42 | — | 5 | 3 | no | — |
| 386 | C3×C42 | — | 5 | 3 | no | — |
| 387 | C3×C42 | — | 5 | 3 | no | — |
| 388 | #217 | — | 5 | 6 | no | — |
| 389 | #217 | C22×D5 | 1 | 6 | yes | — |
| 390 | C4⋊Dic3 | — | 5 | 3 | no | — |
| 391 | C4⋊Dic3 | — | 5 | 3 | no | — |
| 392 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 393 | C4⋊Dic3 | — | 5 | 3 | no | — |
| 394 | C4⋊Dic3 | — | 5 | 3 | no | — |
| 395 | C4⋊Dic3 | — | 5 | 3 | no | — |
| 396 | C4⋊Dic3 | — | 5 | 6 | no | — |
| 397 | C4⋊Dic3 | C22×D5 | 1 | 3 | yes | — |
| 398 | C4⋊Dic3 | C22×D5 | 1 | 3 | yes | — |
| 399 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 400 | Dic3⋊C4 | — | 5 | 3 | no | — |
| 401 | Dic3⋊C4 | — | 5 | 3 | no | — |
| 402 | Dic3⋊C4 | — | 5 | 3 | no | — |
| 403 | Dic3⋊C4 | — | 5 | 6 | no | — |
| 404 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 405 | Dic3⋊C4 | — | 5 | 3 | no | — |
| 406 | Dic3⋊C4 | — | 5 | 3 | no | — |
| 407 | Dic3⋊C4 | — | 5 | 3 | no | — |
| 408 | Dic3⋊C4 | — | 5 | 6 | no | — |
| 409 | C4×Dic3 | — | 5 | 1 | no | — |
| 410 | C4×Dic3 | — | 5 | 3 | no | — |
| 411 | C4×Dic3 | — | 5 | 3 | no | — |
| 412 | C4×Dic3 | — | 5 | 3 | no | — |
| 413 | C4×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 414 | C4×Dic3 | C22×D5 | 1 | 3 | yes | — |
| 415 | C4×Dic3 | C22×D5 | 1 | 3 | yes | — |
| 416 | C4×Dic3 | C22×D5 | 1 | 3 | yes | — |
| 417 | C23×C5 | C23×D3 | 1 | 3 | yes | — |
| 418 | C5×Q8 | C2×Dic6 | 1 | 4 | yes | complemented |
| 419 | C5×D4 | C2×Dic6 | 1 | 12 | yes | complemented |
| 420 | C2×C4×C5 | — | 3 | 1 | no | — |
| 421 | C2×C4×C5 | — | 3 | 1 | no | — |
| 422 | C2×C4×C5 | — | 3 | 3 | no | — |
| 423 | C2×C4×C5 | — | 3 | 3 | no | — |
| 424 | C2×C4×C5 | — | 6 | 6 | no | — |
| 425 | C2×C4×C5 | — | 12 | 3 | no | — |
| 426 | C2×C4×C5 | C2×Dic6 | 1 | 12 | yes | complemented |
| 427 | C2×C4×C5 | C23×D3 | 1 | 3 | yes | — |
| 428 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 429 | C2×Dic5 | — | 2 | 6 | no | — |
| 430 | C2×Dic5 | — | 3 | 1 | no | — |
| 431 | C2×Dic5 | — | 3 | 1 | no | — |
| 432 | C2×Dic5 | — | 3 | 3 | no | — |
| 433 | C2×Dic5 | — | 3 | 3 | no | — |
| 434 | C2×Dic5 | — | 4 | 3 | no | — |
| 435 | C2×Dic5 | — | 6 | 6 | no | — |
| 436 | C2×Dic5 | — | 12 | 3 | no | — |
| 437 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 438 | C2×Dic5 | C23×D3 | 1 | 3 | yes | — |
| 439 | C2×Dic5 | C23×D3 | 1 | 3 | yes | — |
| 440 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 441 | Dic10 | — | 3 | 4 | no | — |
| 442 | Dic10 | — | 6 | 6 | no | — |
| 443 | Dic10 | — | 6 | 6 | no | — |
| 444 | Dic10 | — | 6 | 6 | no | — |
| 445 | Dic10 | — | 12 | 6 | no | — |
| 446 | C2×#41 | D3×D5 | 1 | 1 | yes | characteristic |
| 447 | C22×Q8 | — | 15 | 3 | no | — |
| 448 | C4⋊Q8 | — | 15 | 3 | no | — |
| 449 | C4⋊Q8 | — | 15 | 3 | no | — |
| 450 | C4⋊Q8 | — | 15 | 3 | no | — |
| 451 | C4⋊Q8 | — | 15 | 3 | no | — |
| 452 | C4⋊Q8 | — | 15 | 3 | no | — |
| 453 | C4⋊Q8 | — | 15 | 3 | no | — |
| 454 | #125 | — | 15 | 3 | no | — |
| 455 | #125 | — | 15 | 3 | no | — |
| 456 | #125 | — | 15 | 3 | no | — |
| 457 | #125 | — | 15 | 3 | no | — |
| 458 | #125 | — | 15 | 3 | no | — |
| 459 | #125 | — | 15 | 3 | no | — |
| 460 | C22⋊Q8 | — | 15 | 6 | no | — |
| 461 | C22⋊Q8 | — | 15 | 6 | no | — |
| 462 | C22⋊Q8 | — | 15 | 6 | no | — |
| 463 | C22⋊Q8 | — | 15 | 6 | no | — |
| 464 | C22⋊Q8 | — | 15 | 6 | no | — |
| 465 | C22⋊Q8 | — | 15 | 6 | no | — |
| 466 | C4×Q8 | — | 3 | 1 | no | — |
| 467 | C4×Q8 | — | 3 | 1 | no | — |
| 468 | C4×Q8 | — | 5 | 1 | no | — |
| 469 | C4×Q8 | — | 5 | 1 | no | — |
| 470 | C4×Q8 | — | 15 | 1 | no | — |
| 471 | C4×Q8 | — | 15 | 3 | no | — |
| 472 | C4×Q8 | — | 15 | 3 | no | — |
| 473 | C4×Q8 | — | 15 | 3 | no | — |
| 474 | C4×Q8 | — | 15 | 3 | no | — |
| 475 | C4×Q8 | — | 15 | 3 | no | — |
| 476 | C4×Q8 | — | 15 | 3 | no | — |
| 477 | C4×Q8 | — | 15 | 3 | no | — |
| 478 | C4×Q8 | — | 15 | 6 | no | — |
| 479 | C4×Q8 | — | 15 | 1 | no | — |
| 480 | C4×Q8 | — | 15 | 1 | no | — |
| 481 | C4×D4 | — | 3 | 3 | no | — |
| 482 | C4×D4 | — | 3 | 3 | no | — |
| 483 | C4×D4 | — | 5 | 3 | no | — |
| 484 | C4×D4 | — | 5 | 3 | no | — |
| 485 | C4×D4 | — | 15 | 3 | no | — |
| 486 | C4×D4 | — | 15 | 3 | no | — |
| 487 | #117 | — | 3 | 3 | no | — |
| 488 | #117 | — | 5 | 3 | no | — |
| 489 | #117 | — | 15 | 3 | no | — |
| 490 | C2×C4⋊C4 | — | 15 | 3 | no | — |
| 491 | C2×C4⋊C4 | — | 15 | 3 | no | — |
| 492 | C2×C4⋊C4 | — | 15 | 3 | no | — |
| 493 | C2×C42 | — | 3 | 3 | no | — |
| 494 | C2×C42 | — | 5 | 3 | no | — |
| 495 | C2×C42 | — | 15 | 3 | no | — |
| 496 | C2×C3×C5 | — | 2 | 6 | no | — |
| 497 | C2×C3×C5 | C23×Q8 | 1 | 1 | yes | characteristic |
| 498 | C2×C3×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 499 | C2×C3×C5 | #585 | 1 | 1 | yes | characteristic |
| 500 | C23×C3 | C23×D5 | 1 | 3 | yes | — |
| 501 | C3×Q8 | C2×Dic10 | 1 | 4 | yes | complemented |
| 502 | C3×D4 | C2×Dic10 | 1 | 12 | yes | complemented |
| 503 | C2×C3×C4 | — | 5 | 1 | no | — |
| 504 | C2×C3×C4 | — | 5 | 1 | no | — |
| 505 | C2×C3×C4 | — | 5 | 3 | no | — |
| 506 | C2×C3×C4 | — | 5 | 3 | no | — |
| 507 | C2×C3×C4 | — | 10 | 6 | no | — |
| 508 | C2×C3×C4 | — | 20 | 3 | no | — |
| 509 | C2×C3×C4 | C2×Dic10 | 1 | 12 | yes | complemented |
| 510 | C2×C3×C4 | C23×D5 | 1 | 3 | yes | — |
| 511 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 512 | C2×Dic3 | — | 2 | 6 | no | — |
| 513 | C2×Dic3 | — | 4 | 3 | no | — |
| 514 | C2×Dic3 | — | 5 | 1 | no | — |
| 515 | C2×Dic3 | — | 5 | 1 | no | — |
| 516 | C2×Dic3 | — | 5 | 3 | no | — |
| 517 | C2×Dic3 | — | 5 | 3 | no | — |
| 518 | C2×Dic3 | — | 10 | 6 | no | — |
| 519 | C2×Dic3 | — | 20 | 3 | no | — |
| 520 | C2×Dic3 | C23×D5 | 1 | 1 | yes | characteristic |
| 521 | C2×Dic3 | C23×D5 | 1 | 3 | yes | — |
| 522 | C2×Dic3 | C23×D5 | 1 | 3 | yes | — |
| 523 | C2×Dic3 | C23×D5 | 1 | 1 | yes | characteristic |
| 524 | Dic6 | — | 5 | 4 | no | — |
| 525 | Dic6 | — | 10 | 6 | no | — |
| 526 | Dic6 | — | 10 | 6 | no | — |
| 527 | Dic6 | — | 10 | 6 | no | — |
| 528 | Dic6 | — | 20 | 6 | no | — |
| 529 | C22×C5 | — | 2 | 3 | no | — |
| 530 | C22×C5 | — | 2 | 3 | no | — |
| 531 | C22×C5 | C22×Dic6 | 1 | 6 | yes | — |
| 532 | C22×C5 | C24×D3 | 1 | 1 | yes | characteristic |
| 533 | C4×C5 | — | 3 | 2 | no | — |
| 534 | C4×C5 | — | 6 | 3 | no | — |
| 535 | C4×C5 | — | 6 | 3 | no | — |
| 536 | C4×C5 | — | 6 | 1 | no | — |
| 537 | C4×C5 | C22×Dic6 | 1 | 2 | yes | — |
| 538 | C4×C5 | C22×Dic6 | 1 | 6 | yes | — |
| 539 | Dic5 | — | 2 | 3 | no | — |
| 540 | Dic5 | — | 2 | 3 | no | — |
| 541 | Dic5 | — | 2 | 1 | no | — |
| 542 | Dic5 | — | 3 | 2 | no | — |
| 543 | Dic5 | — | 6 | 3 | no | — |
| 544 | Dic5 | — | 6 | 3 | no | — |
| 545 | Dic5 | — | 6 | 1 | no | — |
| 546 | Dic5 | D3×#41 | 1 | 2 | yes | — |
| 547 | #41 | #1204 | 1 | 8 | yes | direct product factor |
| 548 | C2×Q8 | — | 15 | 1 | no | — |
| 549 | C2×Q8 | — | 15 | 3 | no | — |
| 550 | C2×Q8 | — | 15 | 3 | no | — |
| 551 | C2×Q8 | — | 15 | 3 | no | — |
| 552 | C2×Q8 | — | 15 | 6 | no | — |
| 553 | C2×Q8 | — | 30 | 12 | no | — |
| 554 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 555 | C2×D4 | C2×D3×D5 | 1 | 3 | yes | — |
| 556 | C22×C4 | — | 3 | 3 | no | — |
| 557 | C22×C4 | — | 3 | 3 | no | — |
| 558 | C22×C4 | — | 5 | 3 | no | — |
| 559 | C22×C4 | — | 5 | 3 | no | — |
| 560 | C22×C4 | — | 15 | 3 | no | — |
| 561 | C22×C4 | — | 15 | 3 | no | — |
| 562 | C22×C4 | C2×D3×D5 | 1 | 3 | yes | — |
| 563 | C4⋊C4 | — | 3 | 3 | no | — |
| 564 | C4⋊C4 | — | 3 | 3 | no | — |
| 565 | C4⋊C4 | — | 5 | 3 | no | — |
| 566 | C4⋊C4 | — | 5 | 3 | no | — |
| 567 | C4⋊C4 | — | 15 | 1 | no | — |
| 568 | C4⋊C4 | — | 15 | 1 | no | — |
| 569 | C4⋊C4 | — | 15 | 1 | no | — |
| 570 | C4⋊C4 | — | 15 | 3 | no | — |
| 571 | C4⋊C4 | — | 15 | 3 | no | — |
| 572 | C4⋊C4 | — | 15 | 3 | no | — |
| 573 | C4⋊C4 | — | 15 | 3 | no | — |
| 574 | C4⋊C4 | — | 15 | 3 | no | — |
| 575 | C4⋊C4 | — | 15 | 3 | no | — |
| 576 | C4⋊C4 | — | 15 | 3 | no | — |
| 577 | C4⋊C4 | — | 15 | 3 | no | — |
| 578 | C4⋊C4 | — | 15 | 3 | no | — |
| 579 | C4⋊C4 | — | 15 | 6 | no | — |
| 580 | C4⋊C4 | — | 15 | 6 | no | — |
| 581 | C4⋊C4 | — | 15 | 6 | no | — |
| 582 | C4⋊C4 | — | 15 | 3 | no | — |
| 583 | C4⋊C4 | — | 15 | 3 | no | — |
| 584 | C22⋊C4 | — | 3 | 6 | no | — |
| 585 | C22⋊C4 | — | 5 | 6 | no | — |
| 586 | C22⋊C4 | — | 15 | 6 | no | — |
| 587 | C42 | — | 3 | 3 | no | — |
| 588 | C42 | — | 3 | 3 | no | — |
| 589 | C42 | — | 3 | 1 | no | — |
| 590 | C42 | — | 3 | 3 | no | — |
| 591 | C42 | — | 5 | 3 | no | — |
| 592 | C42 | — | 5 | 3 | no | — |
| 593 | C42 | — | 5 | 1 | no | — |
| 594 | C42 | — | 5 | 3 | no | — |
| 595 | C42 | — | 15 | 3 | no | — |
| 596 | C42 | — | 15 | 3 | no | — |
| 597 | C42 | — | 15 | 1 | no | — |
| 598 | C42 | — | 15 | 3 | no | — |
| 599 | C3×C5 | Q8×#41 | 1 | 1 | yes | characteristic, complemented, Hall |
| 600 | C22×C3 | — | 2 | 3 | no | — |
| 601 | C22×C3 | — | 2 | 3 | no | — |
| 602 | C22×C3 | C22×Dic10 | 1 | 6 | yes | — |
| 603 | C22×C3 | C24×D5 | 1 | 1 | yes | characteristic |
| 604 | C3×C4 | — | 5 | 2 | no | — |
| 605 | C3×C4 | — | 10 | 3 | no | — |
| 606 | C3×C4 | — | 10 | 3 | no | — |
| 607 | C3×C4 | — | 10 | 1 | no | — |
| 608 | C3×C4 | C22×Dic10 | 1 | 2 | yes | — |
| 609 | C3×C4 | C22×Dic10 | 1 | 6 | yes | — |
| 610 | Dic3 | — | 2 | 3 | no | — |
| 611 | Dic3 | — | 2 | 3 | no | — |
| 612 | Dic3 | — | 2 | 1 | no | — |
| 613 | Dic3 | — | 5 | 2 | no | — |
| 614 | Dic3 | — | 10 | 3 | no | — |
| 615 | Dic3 | — | 10 | 3 | no | — |
| 616 | Dic3 | — | 10 | 1 | no | — |
| 617 | Dic3 | D5×#41 | 1 | 2 | yes | — |
| 618 | C2×C5 | — | 2 | 6 | no | — |
| 619 | C2×C5 | C23×Dic6 | 1 | 1 | yes | characteristic |
| 620 | C2×C5 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 621 | C2×C5 | #5964 | 1 | 1 | yes | characteristic |
| 622 | C23 | C22×D3×D5 | 1 | 3 | yes | — |
| 623 | Q8 | — | 15 | 4 | no | — |
| 624 | Q8 | — | 30 | 6 | no | — |
| 625 | Q8 | — | 30 | 6 | no | — |
| 626 | Q8 | — | 30 | 6 | no | — |
| 627 | Q8 | — | 60 | 6 | no | — |
| 628 | Q8 | C2×#1204 | 1 | 4 | yes | complemented |
| 629 | D4 | C2×#1204 | 1 | 12 | yes | complemented |
| 630 | C2×C4 | — | 3 | 1 | no | — |
| 631 | C2×C4 | — | 3 | 1 | no | — |
| 632 | C2×C4 | — | 3 | 3 | no | — |
| 633 | C2×C4 | — | 3 | 3 | no | — |
| 634 | C2×C4 | — | 5 | 1 | no | — |
| 635 | C2×C4 | — | 5 | 1 | no | — |
| 636 | C2×C4 | — | 5 | 3 | no | — |
| 637 | C2×C4 | — | 5 | 3 | no | — |
| 638 | C2×C4 | — | 6 | 6 | no | — |
| 639 | C2×C4 | — | 10 | 6 | no | — |
| 640 | C2×C4 | — | 12 | 3 | no | — |
| 641 | C2×C4 | — | 15 | 1 | no | — |
| 642 | C2×C4 | — | 15 | 1 | no | — |
| 643 | C2×C4 | — | 15 | 3 | no | — |
| 644 | C2×C4 | — | 15 | 3 | no | — |
| 645 | C2×C4 | — | 20 | 3 | no | — |
| 646 | C2×C4 | — | 30 | 6 | no | — |
| 647 | C2×C4 | — | 60 | 3 | no | — |
| 648 | C2×C4 | C2×#1204 | 1 | 12 | yes | complemented |
| 649 | C2×C4 | C22×D3×D5 | 1 | 3 | yes | — |
| 650 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 651 | C2×C3 | — | 2 | 6 | no | — |
| 652 | C2×C3 | C23×Dic10 | 1 | 1 | yes | characteristic |
| 653 | C2×C3 | C2×D5×#41 | 1 | 1 | yes | characteristic |
| 654 | C2×C3 | #66283 | 1 | 1 | yes | characteristic |
| 655 | C5 | #41×Dic6 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 656 | C22 | — | 2 | 3 | no | — |
| 657 | C22 | — | 2 | 3 | no | — |
| 658 | C22 | C22×#1204 | 1 | 6 | yes | — |
| 659 | C22 | C23×D3×D5 | 1 | 1 | yes | characteristic |
| 660 | C4 | — | 3 | 2 | no | — |
| 661 | C4 | — | 5 | 2 | no | — |
| 662 | C4 | — | 6 | 1 | no | — |
| 663 | C4 | — | 6 | 3 | no | — |
| 664 | C4 | — | 6 | 3 | no | — |
| 665 | C4 | — | 10 | 1 | no | — |
| 666 | C4 | — | 10 | 3 | no | — |
| 667 | C4 | — | 10 | 3 | no | — |
| 668 | C4 | — | 15 | 2 | no | — |
| 669 | C4 | — | 30 | 1 | no | — |
| 670 | C4 | — | 30 | 3 | no | — |
| 671 | C4 | — | 30 | 3 | no | — |
| 672 | C4 | C22×#1204 | 1 | 2 | yes | — |
| 673 | C4 | C22×#1204 | 1 | 6 | yes | — |
| 674 | C3 | #41×Dic10 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 675 | C2 | — | 2 | 6 | no | — |
| 676 | C2 | D3×D5×#41 | 1 | 1 | yes | characteristic |
| 677 | C2 | #11757058 | 1 | 1 | yes | characteristic |
| 678 | C2 | C23×#1204 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta