Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1860 conjugacy classes of subgroups.
The subgroup lattice has 1068 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11756443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#5672 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#66014 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11755184 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11755135 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11754994 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11754729 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11753197 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11753108 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11752905 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11752904 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #11752815 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #11752812 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #11752811 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #11752789 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #11752685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #11752498 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #11752488 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #11752474 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #10619017 | — | 3 | 1 | no | maximal, Hall |
| 21 | C3×C5×#124 | C22 | 1 | 1 | yes | characteristic |
| 22 | #91835 | C22 | 1 | 2 | yes | — |
| 23 | #91828 | C22 | 1 | 2 | yes | — |
| 24 | #91775 | C22 | 1 | 2 | yes | — |
| 25 | #91773 | C22 | 1 | 2 | yes | — |
| 26 | #91772 | C22 | 1 | 2 | yes | — |
| 27 | #91767 | C22 | 1 | 2 | yes | — |
| 28 | #91764 | C22 | 1 | 1 | yes | characteristic |
| 29 | #91759 | C22 | 1 | 1 | yes | characteristic |
| 30 | C5×#944 | C22 | 1 | 2 | yes | — |
| 31 | C5×#935 | C22 | 1 | 2 | yes | — |
| 32 | C5×#879 | C22 | 1 | 2 | yes | — |
| 33 | C5×#879 | C22 | 1 | 2 | yes | — |
| 34 | C5×#878 | C22 | 1 | 2 | yes | — |
| 35 | C5×#878 | C22 | 1 | 2 | yes | — |
| 36 | C5×#870 | C22 | 1 | 1 | yes | characteristic |
| 37 | C5×#870 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×#4092 | C22 | 1 | 1 | yes | characteristic |
| 39 | C3×Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 40 | C3×#4084 | C22 | 1 | 1 | yes | characteristic |
| 41 | C3×D4×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 42 | C3×#4029 | C22 | 1 | 2 | yes | — |
| 43 | C3×#4027 | C22 | 1 | 2 | yes | — |
| 44 | C3×#4025 | C22 | 1 | 2 | yes | — |
| 45 | C3×#4023 | C22 | 1 | 2 | yes | — |
| 46 | C3×C42×D5 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#4016 | C22 | 1 | 1 | yes | characteristic |
| 48 | #91576 | C22 | 1 | 2 | yes | — |
| 49 | #91576 | C22 | 1 | 2 | yes | — |
| 50 | #91575 | C22 | 1 | 2 | yes | — |
| 51 | #91569 | C22 | 1 | 2 | yes | — |
| 52 | #91562 | C22 | 1 | 2 | yes | — |
| 53 | #91552 | C22 | 1 | 2 | yes | — |
| 54 | #91552 | C22 | 1 | 2 | yes | — |
| 55 | #91542 | C22 | 1 | 2 | yes | — |
| 56 | #91537 | C22 | 1 | 2 | yes | — |
| 57 | #91534 | C22 | 1 | 2 | yes | — |
| 58 | #91533 | C22 | 1 | 2 | yes | — |
| 59 | #91531 | C22 | 1 | 2 | yes | — |
| 60 | #91528 | C22 | 1 | 2 | yes | — |
| 61 | C2×Dic3×Dic5 | C22 | 1 | 2 | yes | — |
| 62 | #91526 | C22 | 1 | 2 | yes | — |
| 63 | #91526 | C22 | 1 | 2 | yes | — |
| 64 | #91469 | C22 | 1 | 2 | yes | — |
| 65 | #91468 | C22 | 1 | 1 | yes | characteristic |
| 66 | #91468 | C22 | 1 | 1 | yes | characteristic |
| 67 | #91455 | C22 | 1 | 2 | yes | — |
| 68 | #91450 | C22 | 1 | 1 | yes | characteristic |
| 69 | #91444 | C22 | 1 | 2 | yes | — |
| 70 | #91433 | C22 | 1 | 2 | yes | — |
| 71 | #91429 | C22 | 1 | 2 | yes | — |
| 72 | #91429 | C22 | 1 | 2 | yes | — |
| 73 | #91419 | C22 | 1 | 2 | yes | — |
| 74 | #91418 | C22 | 1 | 1 | yes | characteristic |
| 75 | #91402 | C22 | 1 | 2 | yes | — |
| 76 | #91402 | C22 | 1 | 2 | yes | — |
| 77 | C4×#1200 | C22 | 1 | 2 | yes | — |
| 78 | #91387 | C22 | 1 | 2 | yes | — |
| 79 | #91383 | C22 | 1 | 2 | yes | — |
| 80 | #91380 | C22 | 1 | 2 | yes | — |
| 81 | #91377 | C22 | 1 | 2 | yes | — |
| 82 | #91363 | C22 | 1 | 2 | yes | — |
| 83 | #91362 | C22 | 1 | 2 | yes | — |
| 84 | #91360 | C22 | 1 | 1 | yes | characteristic |
| 85 | #91358 | C22 | 1 | 1 | yes | characteristic |
| 86 | #91358 | C22 | 1 | 1 | yes | characteristic |
| 87 | #91354 | C22 | 1 | 2 | yes | — |
| 88 | #91349 | C22 | 1 | 2 | yes | — |
| 89 | #91349 | C22 | 1 | 2 | yes | — |
| 90 | #91348 | C22 | 1 | 2 | yes | — |
| 91 | #91346 | C22 | 1 | 2 | yes | — |
| 92 | #91346 | C22 | 1 | 2 | yes | — |
| 93 | #91345 | C22 | 1 | 2 | yes | — |
| 94 | #91343 | C22 | 1 | 2 | yes | — |
| 95 | #91339 | C22 | 1 | 2 | yes | — |
| 96 | #91337 | C22 | 1 | 2 | yes | — |
| 97 | #91336 | C22 | 1 | 2 | yes | — |
| 98 | #91335 | C22 | 1 | 2 | yes | — |
| 99 | #91334 | C22 | 1 | 2 | yes | — |
| 100 | #91334 | C22 | 1 | 2 | yes | — |
| 101 | #91333 | C22 | 1 | 1 | yes | characteristic |
| 102 | Dic5×Dic6 | C22 | 1 | 2 | yes | — |
| 103 | #91329 | C22 | 1 | 2 | yes | — |
| 104 | #91328 | C22 | 1 | 2 | yes | — |
| 105 | #91323 | C22 | 1 | 2 | yes | — |
| 106 | #91323 | C22 | 1 | 2 | yes | — |
| 107 | #91323 | C22 | 1 | 2 | yes | — |
| 108 | #86132 | — | 5 | 1 | no | maximal, Hall |
| 109 | C5×#563 | — | 3 | 1 | no | — |
| 110 | #66069 | — | 3 | 2 | no | — |
| 111 | #66062 | — | 3 | 2 | no | — |
| 112 | #66046 | — | 3 | 2 | no | — |
| 113 | #66046 | — | 3 | 2 | no | — |
| 114 | #66040 | — | 3 | 2 | no | — |
| 115 | #66040 | — | 3 | 2 | no | — |
| 116 | #66033 | — | 3 | 1 | no | — |
| 117 | #66025 | — | 3 | 1 | no | — |
| 118 | #66022 | — | 3 | 1 | no | — |
| 119 | C5⋊#564 | — | 3 | 1 | no | — |
| 120 | #66018 | — | 3 | 1 | no | — |
| 121 | #66014 | D3 | 1 | 1 | yes | characteristic, complemented |
| 122 | #66001 | — | 3 | 2 | no | — |
| 123 | #65983 | — | 3 | 2 | no | — |
| 124 | #65981 | — | 3 | 2 | no | — |
| 125 | #65980 | — | 3 | 2 | no | — |
| 126 | #65958 | — | 3 | 2 | no | — |
| 127 | #65956 | — | 3 | 2 | no | — |
| 128 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×#1220 | C23 | 1 | 2 | yes | — |
| 131 | C2×#1220 | C23 | 1 | 2 | yes | — |
| 132 | C22×Dic15 | C23 | 1 | 2 | yes | — |
| 133 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×C4×D15 | C23 | 1 | 2 | yes | — |
| 135 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 136 | C22×C5×Dic3 | C23 | 1 | 2 | yes | — |
| 137 | C2×C5×Dic6 | C23 | 1 | 2 | yes | — |
| 138 | C2×C3×C22⋊D5 | C23 | 1 | 2 | yes | — |
| 139 | C22×C3×Dic5 | C23 | 1 | 2 | yes | — |
| 140 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 141 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 143 | C2×#1204 | C23 | 1 | 2 | yes | — |
| 144 | C2×#1204 | C23 | 1 | 2 | yes | — |
| 145 | C2×#1204 | C23 | 1 | 2 | yes | — |
| 146 | C2×#1202 | C23 | 1 | 2 | yes | — |
| 147 | C2×#1200 | C23 | 1 | 2 | yes | — |
| 148 | C2×#1200 | C23 | 1 | 2 | yes | — |
| 149 | C3×C5×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 150 | C3×C5×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 151 | C3×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 152 | #6719 | C23 | 1 | 2 | yes | — |
| 153 | #6714 | C23 | 1 | 2 | yes | — |
| 154 | #6714 | C23 | 1 | 2 | yes | — |
| 155 | #6714 | C23 | 1 | 2 | yes | — |
| 156 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 157 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 158 | C4⋊Dic15 | C23 | 1 | 2 | yes | — |
| 159 | #6712 | C23 | 1 | 2 | yes | — |
| 160 | #6712 | C23 | 1 | 2 | yes | — |
| 161 | #6712 | C23 | 1 | 2 | yes | — |
| 162 | C5×#217 | C23 | 1 | 2 | yes | — |
| 163 | C5×#217 | C23 | 1 | 2 | yes | — |
| 164 | C5×#217 | C23 | 1 | 2 | yes | — |
| 165 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 166 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 167 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 168 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 169 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 170 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 171 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 172 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 173 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 174 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 175 | C4×C5×Dic3 | C23 | 1 | 2 | yes | — |
| 176 | C3×C22⋊Dic5 | C23 | 1 | 2 | yes | — |
| 177 | C3×C22⋊Dic5 | C23 | 1 | 2 | yes | — |
| 178 | C3×#685 | C23 | 1 | 2 | yes | — |
| 179 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 180 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 181 | C3×C4⋊Dic5 | C23 | 1 | 2 | yes | — |
| 182 | C3×#683 | C23 | 1 | 2 | yes | — |
| 183 | C3×#683 | C23 | 1 | 2 | yes | — |
| 184 | C3×#683 | C23 | 1 | 2 | yes | — |
| 185 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 186 | C3×C4×Dic5 | C23 | 1 | 2 | yes | — |
| 187 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 188 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 189 | Dic3⋊Dic5 | C23 | 1 | 2 | yes | — |
| 190 | Dic3⋊Dic5 | C23 | 1 | 2 | yes | — |
| 191 | Dic3⋊Dic5 | C23 | 1 | 2 | yes | — |
| 192 | Dic3⋊Dic5 | C23 | 1 | 2 | yes | — |
| 193 | #6669 | C23 | 1 | 2 | yes | — |
| 194 | #6669 | C23 | 1 | 2 | yes | — |
| 195 | #6669 | C23 | 1 | 2 | yes | — |
| 196 | #6668 | C23 | 1 | 2 | yes | — |
| 197 | #6668 | C23 | 1 | 2 | yes | — |
| 198 | #6668 | C23 | 1 | 2 | yes | — |
| 199 | #6668 | C23 | 1 | 2 | yes | — |
| 200 | #6668 | C23 | 1 | 2 | yes | — |
| 201 | #6667 | C23 | 1 | 2 | yes | — |
| 202 | #6667 | C23 | 1 | 2 | yes | — |
| 203 | #6667 | C23 | 1 | 2 | yes | — |
| 204 | #6667 | C23 | 1 | 2 | yes | — |
| 205 | #6667 | C23 | 1 | 2 | yes | — |
| 206 | #6665 | C23 | 1 | 2 | yes | — |
| 207 | #6665 | C23 | 1 | 2 | yes | — |
| 208 | #6665 | C23 | 1 | 2 | yes | — |
| 209 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 210 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 211 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 212 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 213 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 214 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 215 | C3×#529 | — | 5 | 1 | no | — |
| 216 | #5712 | — | 5 | 2 | no | — |
| 217 | #5712 | — | 5 | 2 | no | — |
| 218 | #5699 | — | 5 | 1 | no | — |
| 219 | C3⋊#564 | — | 5 | 1 | no | — |
| 220 | #5684 | — | 5 | 1 | no | — |
| 221 | #5672 | D5 | 1 | 1 | yes | characteristic, complemented |
| 222 | #5667 | — | 5 | 2 | no | — |
| 223 | #5651 | — | 5 | 2 | no | — |
| 224 | #5646 | — | 5 | 2 | no | — |
| 225 | #5621 | — | 5 | 2 | no | — |
| 226 | #5578 | — | 5 | 2 | no | — |
| 227 | #5557 | — | 5 | 2 | no | — |
| 228 | #5538 | — | 5 | 2 | no | — |
| 229 | #5538 | — | 5 | 2 | no | — |
| 230 | #5528 | — | 5 | 2 | no | — |
| 231 | #5517 | — | 5 | 2 | no | — |
| 232 | #5479 | — | 5 | 1 | no | — |
| 233 | #5470 | — | 5 | 1 | no | — |
| 234 | C5×C4⋊Q8 | — | 3 | 2 | no | — |
| 235 | C5×#126 | — | 3 | 2 | no | — |
| 236 | C5×#126 | — | 3 | 2 | no | — |
| 237 | C5×#125 | — | 3 | 1 | no | — |
| 238 | C5×#125 | — | 3 | 1 | no | — |
| 239 | C5×#124 | C2×D3 | 1 | 1 | yes | characteristic |
| 240 | C5×#123 | — | 3 | 2 | no | — |
| 241 | C5×C22⋊Q8 | — | 3 | 2 | no | — |
| 242 | C5×C22⋊Q8 | — | 3 | 2 | no | — |
| 243 | #4093 | — | 3 | 2 | no | — |
| 244 | #4092 | — | 3 | 2 | no | — |
| 245 | #4092 | — | 3 | 2 | no | — |
| 246 | #4092 | C2×D3 | 1 | 1 | yes | characteristic |
| 247 | Q8×Dic5 | — | 3 | 2 | no | — |
| 248 | Q8×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 249 | #4090 | — | 3 | 2 | no | — |
| 250 | #4085 | — | 3 | 2 | no | — |
| 251 | #4084 | C2×D3 | 1 | 1 | yes | characteristic |
| 252 | D4×Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 253 | #4076 | — | 3 | 2 | no | — |
| 254 | #4075 | — | 3 | 2 | no | — |
| 255 | #4070 | — | 3 | 2 | no | — |
| 256 | C2×C4×Dic5 | — | 3 | 2 | no | — |
| 257 | #4044 | — | 3 | 2 | no | — |
| 258 | #4044 | — | 3 | 2 | no | — |
| 259 | #4044 | — | 3 | 2 | no | — |
| 260 | #4044 | — | 3 | 2 | no | — |
| 261 | #4043 | — | 3 | 1 | no | — |
| 262 | #4043 | — | 3 | 2 | no | — |
| 263 | #4043 | — | 3 | 2 | no | — |
| 264 | #4042 | — | 3 | 2 | no | — |
| 265 | #4042 | — | 3 | 2 | no | — |
| 266 | #4042 | — | 3 | 2 | no | — |
| 267 | #4042 | — | 3 | 2 | no | — |
| 268 | #4041 | — | 3 | 1 | no | — |
| 269 | #4040 | — | 3 | 2 | no | — |
| 270 | #4040 | — | 3 | 2 | no | — |
| 271 | #4040 | — | 3 | 2 | no | — |
| 272 | #4039 | — | 3 | 2 | no | — |
| 273 | #4039 | — | 3 | 1 | no | — |
| 274 | #4038 | — | 3 | 1 | no | — |
| 275 | #4038 | — | 3 | 1 | no | — |
| 276 | #4038 | — | 3 | 2 | no | — |
| 277 | #4038 | — | 3 | 2 | no | — |
| 278 | #4036 | — | 3 | 2 | no | — |
| 279 | #4036 | — | 3 | 2 | no | — |
| 280 | #4036 | — | 3 | 2 | no | — |
| 281 | #4035 | — | 3 | 2 | no | — |
| 282 | #4035 | — | 3 | 2 | no | — |
| 283 | #4035 | — | 3 | 2 | no | — |
| 284 | #4035 | — | 3 | 2 | no | — |
| 285 | #4035 | — | 3 | 2 | no | — |
| 286 | #4034 | — | 3 | 2 | no | — |
| 287 | #4034 | — | 3 | 1 | no | — |
| 288 | #4034 | — | 3 | 1 | no | — |
| 289 | #4033 | — | 3 | 2 | no | — |
| 290 | #4033 | — | 3 | 2 | no | — |
| 291 | #4033 | — | 3 | 1 | no | — |
| 292 | #4033 | — | 3 | 2 | no | — |
| 293 | #4032 | — | 3 | 2 | no | — |
| 294 | #4032 | — | 3 | 2 | no | — |
| 295 | #4031 | — | 3 | 2 | no | — |
| 296 | #4031 | — | 3 | 2 | no | — |
| 297 | #4031 | — | 3 | 2 | no | — |
| 298 | #4030 | — | 3 | 2 | no | — |
| 299 | #4030 | — | 3 | 2 | no | — |
| 300 | #4029 | — | 3 | 2 | no | — |
| 301 | #4029 | — | 3 | 2 | no | — |
| 302 | #4029 | C2×D3 | 1 | 2 | yes | — |
| 303 | #4027 | — | 3 | 2 | no | — |
| 304 | #4027 | — | 3 | 2 | no | — |
| 305 | #4027 | C2×D3 | 1 | 2 | yes | — |
| 306 | #4025 | — | 3 | 2 | no | — |
| 307 | #4025 | C2×D3 | 1 | 2 | yes | — |
| 308 | #4024 | — | 3 | 2 | no | — |
| 309 | #4024 | — | 3 | 2 | no | — |
| 310 | #4024 | — | 3 | 2 | no | — |
| 311 | #4023 | — | 3 | 2 | no | — |
| 312 | #4023 | C2×D3 | 1 | 2 | yes | — |
| 313 | #4022 | — | 3 | 2 | no | — |
| 314 | #4022 | — | 3 | 2 | no | — |
| 315 | #4021 | — | 3 | 1 | no | — |
| 316 | C42×D5 | — | 3 | 2 | no | — |
| 317 | C42×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 318 | #4016 | — | 3 | 1 | no | — |
| 319 | #4016 | C2×D3 | 1 | 1 | yes | characteristic |
| 320 | #4015 | — | 3 | 2 | no | — |
| 321 | #3531 | — | 15 | 1 | no | Sylow |
| 322 | C23×C3×C5 | C24 | 1 | 2 | yes | — |
| 323 | C22×D15 | C24 | 1 | 2 | yes | — |
| 324 | C22×C3×D5 | C24 | 1 | 1 | yes | characteristic |
| 325 | C3×C5×Q8 | — | 4 | 1 | no | — |
| 326 | C3×C5×D4 | — | 4 | 1 | no | — |
| 327 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 328 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 329 | C2×C3×C4×C5 | C24 | 1 | 2 | yes | — |
| 330 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 331 | #1220 | — | 4 | 2 | no | — |
| 332 | #1220 | — | 4 | 2 | no | — |
| 333 | C2×Dic15 | — | 4 | 2 | no | — |
| 334 | C2×Dic15 | C24 | 1 | 2 | yes | — |
| 335 | C2×Dic15 | C24 | 1 | 2 | yes | — |
| 336 | C2×Dic15 | C24 | 1 | 2 | yes | — |
| 337 | D60 | — | 4 | 1 | no | — |
| 338 | C4×D15 | — | 4 | 2 | no | — |
| 339 | Dic30 | — | 4 | 1 | no | — |
| 340 | C2×C5×Dic3 | — | 4 | 2 | no | — |
| 341 | C2×C5×Dic3 | C24 | 1 | 2 | yes | — |
| 342 | C2×C5×Dic3 | C24 | 1 | 2 | yes | — |
| 343 | C2×C5×Dic3 | C24 | 1 | 2 | yes | — |
| 344 | C2×C5×Dic3 | C24 | 1 | 2 | yes | — |
| 345 | C5×Dic6 | — | 4 | 2 | no | — |
| 346 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 347 | C2×C3×Dic5 | — | 2 | 4 | no | — |
| 348 | C2×C3×Dic5 | C24 | 1 | 2 | yes | — |
| 349 | C2×C3×Dic5 | C24 | 1 | 2 | yes | — |
| 350 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 351 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 352 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 353 | C3×C4×D5 | — | 2 | 2 | no | — |
| 354 | C3×C4×D5 | — | 4 | 1 | no | — |
| 355 | C3×C4×D5 | — | 4 | 1 | no | — |
| 356 | #1204 | — | 4 | 2 | no | — |
| 357 | #1204 | — | 4 | 2 | no | — |
| 358 | #1204 | — | 4 | 2 | no | — |
| 359 | #1202 | — | 4 | 2 | no | — |
| 360 | #1200 | — | 2 | 4 | no | — |
| 361 | #1200 | — | 4 | 2 | no | — |
| 362 | C3×#126 | — | 5 | 2 | no | — |
| 363 | C3×#125 | — | 5 | 1 | no | — |
| 364 | C3×#124 | C2×D5 | 1 | 1 | yes | characteristic |
| 365 | C3×#123 | — | 5 | 2 | no | — |
| 366 | C3×C22⋊Q8 | — | 5 | 1 | no | — |
| 367 | C3×#121 | — | 5 | 1 | no | — |
| 368 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 369 | C3×C4×D4 | — | 5 | 1 | no | — |
| 370 | C3×C4×D4 | — | 5 | 2 | no | — |
| 371 | C3×#117 | — | 5 | 2 | no | — |
| 372 | C2×C3×C42 | — | 5 | 1 | no | — |
| 373 | #946 | — | 5 | 2 | no | — |
| 374 | #944 | C2×D5 | 1 | 2 | yes | — |
| 375 | #939 | — | 5 | 2 | no | — |
| 376 | #939 | — | 5 | 2 | no | — |
| 377 | #938 | — | 5 | 2 | no | — |
| 378 | #936 | — | 5 | 2 | no | — |
| 379 | #935 | — | 5 | 2 | no | — |
| 380 | #935 | C2×D5 | 1 | 2 | yes | — |
| 381 | #930 | — | 5 | 1 | no | — |
| 382 | #929 | — | 5 | 2 | no | — |
| 383 | C4×#67 | — | 5 | 2 | no | — |
| 384 | C4×#67 | — | 5 | 2 | no | — |
| 385 | C4×#67 | — | 5 | 2 | no | — |
| 386 | #926 | — | 5 | 2 | no | — |
| 387 | #926 | — | 5 | 1 | no | — |
| 388 | #926 | — | 5 | 1 | no | — |
| 389 | #924 | — | 5 | 1 | no | — |
| 390 | #924 | — | 5 | 2 | no | — |
| 391 | #924 | — | 5 | 2 | no | — |
| 392 | C2×C4×Dic3 | — | 5 | 2 | no | — |
| 393 | #898 | — | 5 | 2 | no | — |
| 394 | #898 | — | 5 | 2 | no | — |
| 395 | #898 | — | 5 | 2 | no | — |
| 396 | #897 | — | 5 | 2 | no | — |
| 397 | #897 | — | 5 | 2 | no | — |
| 398 | #896 | — | 5 | 2 | no | — |
| 399 | #896 | — | 5 | 2 | no | — |
| 400 | #896 | — | 5 | 2 | no | — |
| 401 | #894 | — | 5 | 2 | no | — |
| 402 | #890 | — | 5 | 2 | no | — |
| 403 | #890 | — | 5 | 2 | no | — |
| 404 | #890 | — | 5 | 2 | no | — |
| 405 | #889 | — | 5 | 2 | no | — |
| 406 | #889 | — | 5 | 2 | no | — |
| 407 | #889 | — | 5 | 2 | no | — |
| 408 | #889 | — | 5 | 2 | no | — |
| 409 | #889 | — | 5 | 2 | no | — |
| 410 | #888 | — | 5 | 2 | no | — |
| 411 | #888 | — | 5 | 2 | no | — |
| 412 | #888 | — | 5 | 2 | no | — |
| 413 | #886 | — | 5 | 2 | no | — |
| 414 | #886 | — | 5 | 2 | no | — |
| 415 | #885 | — | 5 | 2 | no | — |
| 416 | #885 | — | 5 | 2 | no | — |
| 417 | #885 | — | 5 | 2 | no | — |
| 418 | #884 | — | 5 | 2 | no | — |
| 419 | #883 | — | 5 | 2 | no | — |
| 420 | #883 | — | 5 | 2 | no | — |
| 421 | #883 | — | 5 | 2 | no | — |
| 422 | #879 | — | 5 | 2 | no | — |
| 423 | #879 | — | 5 | 2 | no | — |
| 424 | #879 | — | 5 | 2 | no | — |
| 425 | #879 | C2×D5 | 1 | 2 | yes | — |
| 426 | #879 | C2×D5 | 1 | 2 | yes | — |
| 427 | #878 | — | 5 | 2 | no | — |
| 428 | #878 | — | 5 | 2 | no | — |
| 429 | #878 | — | 5 | 2 | no | — |
| 430 | #878 | — | 5 | 2 | no | — |
| 431 | #878 | C2×D5 | 1 | 2 | yes | — |
| 432 | #878 | C2×D5 | 1 | 2 | yes | — |
| 433 | #876 | — | 5 | 2 | no | — |
| 434 | #875 | — | 5 | 1 | no | — |
| 435 | C4×D12 | — | 5 | 1 | no | — |
| 436 | #872 | — | 5 | 2 | no | — |
| 437 | #872 | — | 5 | 2 | no | — |
| 438 | C42×D3 | — | 5 | 2 | no | — |
| 439 | #870 | — | 5 | 1 | no | — |
| 440 | #870 | C2×D5 | 1 | 1 | yes | characteristic |
| 441 | #870 | C2×D5 | 1 | 1 | yes | characteristic |
| 442 | #869 | — | 5 | 1 | no | — |
| 443 | #869 | — | 5 | 1 | no | — |
| 444 | C4×Dic6 | — | 5 | 2 | no | — |
| 445 | C4×Dic6 | — | 5 | 1 | no | — |
| 446 | C4×Dic6 | — | 5 | 2 | no | — |
| 447 | C4×Dic6 | — | 5 | 2 | no | — |
| 448 | C4×Dic6 | — | 5 | 2 | no | — |
| 449 | C2×C5×Q8 | — | 3 | 2 | no | — |
| 450 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 451 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 452 | C22×C4×C5 | — | 3 | 2 | no | — |
| 453 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 454 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 455 | C2×C22⋊D5 | C22×D3 | 1 | 2 | yes | — |
| 456 | C22×Dic5 | — | 3 | 2 | no | — |
| 457 | C22×Dic5 | C22×D3 | 1 | 2 | yes | — |
| 458 | C2×D20 | — | 3 | 2 | no | — |
| 459 | C2×D20 | — | 3 | 1 | no | — |
| 460 | C2×C4×D5 | — | 3 | 2 | no | — |
| 461 | C2×C4×D5 | — | 3 | 2 | no | — |
| 462 | C2×C4×D5 | — | 3 | 2 | no | — |
| 463 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 464 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 465 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 466 | C2×Dic10 | — | 3 | 1 | no | — |
| 467 | C2×Dic10 | — | 3 | 2 | no | — |
| 468 | C2×Dic10 | — | 3 | 2 | no | — |
| 469 | C2×Dic10 | — | 3 | 2 | no | — |
| 470 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 471 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 472 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 473 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 474 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 475 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 476 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 477 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 478 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 479 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 480 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 481 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 482 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 483 | C5×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 484 | C5×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 485 | C42×C5 | — | 3 | 2 | no | — |
| 486 | C42×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 487 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 488 | C22⋊Dic5 | C22×D3 | 1 | 2 | yes | — |
| 489 | C22⋊Dic5 | C22×D3 | 1 | 2 | yes | — |
| 490 | #685 | — | 3 | 2 | no | — |
| 491 | #685 | — | 3 | 2 | no | — |
| 492 | #685 | — | 3 | 2 | no | — |
| 493 | #685 | — | 3 | 2 | no | — |
| 494 | #685 | — | 3 | 2 | no | — |
| 495 | #685 | — | 3 | 2 | no | — |
| 496 | #685 | — | 3 | 2 | no | — |
| 497 | #685 | — | 3 | 2 | no | — |
| 498 | #685 | — | 3 | 2 | no | — |
| 499 | #685 | — | 3 | 2 | no | — |
| 500 | #685 | — | 3 | 2 | no | — |
| 501 | #685 | C22×D3 | 1 | 2 | yes | — |
| 502 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 503 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 504 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 505 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 506 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 507 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 508 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 509 | C4⋊Dic5 | C22×D3 | 1 | 2 | yes | — |
| 510 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 511 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 512 | #683 | — | 3 | 2 | no | — |
| 513 | #683 | — | 3 | 2 | no | — |
| 514 | #683 | — | 3 | 2 | no | — |
| 515 | #683 | — | 3 | 2 | no | — |
| 516 | #683 | — | 3 | 2 | no | — |
| 517 | #683 | — | 3 | 2 | no | — |
| 518 | #683 | — | 3 | 2 | no | — |
| 519 | #683 | — | 3 | 2 | no | — |
| 520 | #683 | — | 3 | 2 | no | — |
| 521 | #683 | — | 3 | 2 | no | — |
| 522 | #683 | — | 3 | 2 | no | — |
| 523 | #683 | C22×D3 | 1 | 2 | yes | — |
| 524 | #683 | C22×D3 | 1 | 2 | yes | — |
| 525 | #683 | C22×D3 | 1 | 2 | yes | — |
| 526 | C4×Dic5 | — | 3 | 2 | no | — |
| 527 | C4×Dic5 | — | 3 | 2 | no | — |
| 528 | C4×Dic5 | — | 3 | 2 | no | — |
| 529 | C4×Dic5 | — | 3 | 2 | no | — |
| 530 | C4×Dic5 | — | 3 | 2 | no | — |
| 531 | C4×Dic5 | — | 3 | 2 | no | — |
| 532 | C4×Dic5 | C22×D3 | 1 | 2 | yes | — |
| 533 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 534 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 535 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 536 | #564 | — | 15 | 1 | no | — |
| 537 | #563 | — | 3 | 1 | no | — |
| 538 | #563 | — | 15 | 2 | no | — |
| 539 | #563 | — | 15 | 2 | no | — |
| 540 | #563 | — | 15 | 2 | no | — |
| 541 | #563 | — | 15 | 1 | no | — |
| 542 | #563 | — | 15 | 2 | no | — |
| 543 | #562 | — | 15 | 2 | no | — |
| 544 | #562 | — | 15 | 2 | no | — |
| 545 | #562 | — | 15 | 1 | no | — |
| 546 | #533 | — | 15 | 1 | no | — |
| 547 | #533 | — | 15 | 2 | no | — |
| 548 | #533 | — | 15 | 2 | no | — |
| 549 | #529 | — | 5 | 1 | no | — |
| 550 | #529 | — | 15 | 1 | no | — |
| 551 | #529 | — | 15 | 2 | no | — |
| 552 | #529 | — | 15 | 2 | no | — |
| 553 | #529 | — | 15 | 2 | no | — |
| 554 | #529 | — | 15 | 2 | no | — |
| 555 | C22×C3×C5 | — | 2 | 2 | no | — |
| 556 | C22×C3×C5 | — | 2 | 2 | no | — |
| 557 | C22×C3×C5 | — | 2 | 2 | no | — |
| 558 | C22×C3×C5 | C25 | 1 | 1 | yes | characteristic |
| 559 | C2×D15 | — | 2 | 2 | no | — |
| 560 | C2×D15 | — | 2 | 2 | no | — |
| 561 | C2×D15 | — | 2 | 2 | no | — |
| 562 | C2×C3×D5 | — | 2 | 1 | no | — |
| 563 | C2×C3×D5 | — | 2 | 1 | no | — |
| 564 | C2×C3×D5 | — | 2 | 1 | no | — |
| 565 | C3×C4×C5 | — | 2 | 1 | no | — |
| 566 | C3×C4×C5 | — | 2 | 1 | no | — |
| 567 | C3×C4×C5 | — | 2 | 1 | no | — |
| 568 | C3×C4×C5 | — | 2 | 2 | no | — |
| 569 | Dic15 | — | 2 | 2 | no | — |
| 570 | Dic15 | — | 2 | 2 | no | — |
| 571 | Dic15 | — | 2 | 2 | no | — |
| 572 | C3×Dic5 | — | 2 | 2 | no | — |
| 573 | C3×Dic5 | — | 2 | 2 | no | — |
| 574 | C3×Dic5 | — | 2 | 1 | no | — |
| 575 | C3×Dic5 | — | 2 | 1 | no | — |
| 576 | C3×Dic5 | 2−1+4 | 1 | 2 | yes | — |
| 577 | C5×Dic3 | — | 2 | 2 | no | — |
| 578 | C5×Dic3 | — | 2 | 2 | no | — |
| 579 | C5×Dic3 | — | 2 | 2 | no | — |
| 580 | C5×Dic3 | — | 2 | 2 | no | — |
| 581 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 582 | C2×C3×D4 | — | 5 | 2 | no | — |
| 583 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 584 | C22×C3×C4 | — | 5 | 2 | no | — |
| 585 | C22×C3×C4 | — | 5 | 1 | no | — |
| 586 | C22×C3×C4 | — | 5 | 1 | no | — |
| 587 | C22×C3×C4 | — | 5 | 1 | no | — |
| 588 | C2×#67 | — | 5 | 2 | no | — |
| 589 | C2×#67 | — | 5 | 2 | no | — |
| 590 | C2×#67 | — | 5 | 2 | no | — |
| 591 | C22×Dic3 | — | 5 | 2 | no | — |
| 592 | C22×Dic3 | C22×D5 | 1 | 2 | yes | — |
| 593 | C2×D12 | — | 5 | 1 | no | — |
| 594 | C2×C4×D3 | — | 5 | 2 | no | — |
| 595 | C2×C4×D3 | — | 5 | 2 | no | — |
| 596 | C2×C4×D3 | — | 5 | 2 | no | — |
| 597 | C2×Dic6 | — | 5 | 1 | no | — |
| 598 | C2×Dic6 | — | 5 | 2 | no | — |
| 599 | C2×Dic6 | — | 5 | 2 | no | — |
| 600 | C2×Dic6 | — | 5 | 2 | no | — |
| 601 | C2×Dic6 | C22×D5 | 1 | 2 | yes | — |
| 602 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 603 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 604 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 605 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 606 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 607 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 608 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 609 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 610 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 611 | C3×C22⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 612 | C3×C22⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 613 | C3×C42 | — | 5 | 1 | no | — |
| 614 | C3×C42 | — | 5 | 2 | no | — |
| 615 | C3×C42 | — | 5 | 1 | no | — |
| 616 | C3×C42 | — | 5 | 1 | no | — |
| 617 | C3×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 618 | #217 | — | 5 | 2 | no | — |
| 619 | #217 | — | 5 | 2 | no | — |
| 620 | #217 | — | 5 | 2 | no | — |
| 621 | #217 | — | 5 | 2 | no | — |
| 622 | #217 | C22×D5 | 1 | 2 | yes | — |
| 623 | #217 | C22×D5 | 1 | 2 | yes | — |
| 624 | #217 | C22×D5 | 1 | 2 | yes | — |
| 625 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 626 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 627 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 628 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 629 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 630 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 631 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 632 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 633 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 634 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 635 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 636 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 637 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 638 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 639 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 640 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 641 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 642 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 643 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 644 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 645 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 646 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 647 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 648 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 649 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 650 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 651 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 652 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 653 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 654 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 655 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 656 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 657 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 658 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 659 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 660 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 661 | C4×Dic3 | — | 5 | 2 | no | — |
| 662 | C4×Dic3 | — | 5 | 2 | no | — |
| 663 | C4×Dic3 | — | 5 | 2 | no | — |
| 664 | C4×Dic3 | — | 5 | 2 | no | — |
| 665 | C4×Dic3 | — | 5 | 2 | no | — |
| 666 | C4×Dic3 | — | 5 | 2 | no | — |
| 667 | C4×Dic3 | C22×D5 | 1 | 2 | yes | — |
| 668 | C23×C5 | C23×D3 | 1 | 2 | yes | — |
| 669 | C22×D5 | — | 3 | 2 | no | — |
| 670 | C22×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 671 | C5×Q8 | — | 4 | 1 | no | — |
| 672 | C5×Q8 | — | 12 | 2 | no | — |
| 673 | C5×D4 | — | 4 | 1 | no | — |
| 674 | C2×C4×C5 | — | 3 | 2 | no | — |
| 675 | C2×C4×C5 | — | 3 | 2 | no | — |
| 676 | C2×C4×C5 | — | 3 | 2 | no | — |
| 677 | C2×C4×C5 | — | 3 | 2 | no | — |
| 678 | C2×C4×C5 | — | 12 | 2 | no | — |
| 679 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 680 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 681 | C2×C4×C5 | C23×D3 | 1 | 2 | yes | — |
| 682 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 683 | C22⋊D5 | — | 4 | 2 | no | — |
| 684 | C22⋊D5 | — | 12 | 2 | no | — |
| 685 | C22⋊D5 | — | 12 | 2 | no | — |
| 686 | C2×Dic5 | — | 2 | 4 | no | — |
| 687 | C2×Dic5 | — | 3 | 2 | no | — |
| 688 | C2×Dic5 | — | 3 | 2 | no | — |
| 689 | C2×Dic5 | — | 3 | 2 | no | — |
| 690 | C2×Dic5 | — | 12 | 2 | no | — |
| 691 | C2×Dic5 | C23×D3 | 1 | 2 | yes | — |
| 692 | C2×Dic5 | C23×D3 | 1 | 2 | yes | — |
| 693 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 694 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 695 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 696 | D20 | — | 12 | 1 | no | — |
| 697 | D20 | — | 12 | 2 | no | — |
| 698 | C4×D5 | — | 2 | 2 | no | — |
| 699 | C4×D5 | — | 4 | 1 | no | — |
| 700 | C4×D5 | — | 4 | 1 | no | — |
| 701 | C4×D5 | — | 6 | 4 | no | — |
| 702 | C4×D5 | — | 12 | 2 | no | — |
| 703 | C4×D5 | — | 12 | 2 | no | — |
| 704 | Dic10 | — | 12 | 2 | no | — |
| 705 | Dic10 | — | 12 | 2 | no | — |
| 706 | Dic10 | — | 12 | 2 | no | — |
| 707 | Dic10 | — | 12 | 1 | no | — |
| 708 | C4⋊Q8 | — | 3 | 2 | no | — |
| 709 | C4⋊Q8 | — | 15 | 2 | no | — |
| 710 | C4⋊Q8 | — | 15 | 1 | no | — |
| 711 | C4⋊Q8 | — | 15 | 1 | no | — |
| 712 | C4⋊Q8 | — | 15 | 2 | no | — |
| 713 | C4⋊Q8 | — | 15 | 2 | no | — |
| 714 | #126 | — | 3 | 2 | no | — |
| 715 | #126 | — | 3 | 2 | no | — |
| 716 | #126 | — | 5 | 2 | no | — |
| 717 | #126 | — | 15 | 2 | no | — |
| 718 | #126 | — | 15 | 2 | no | — |
| 719 | #126 | — | 15 | 2 | no | — |
| 720 | #126 | — | 15 | 2 | no | — |
| 721 | #126 | — | 15 | 2 | no | — |
| 722 | #126 | — | 15 | 2 | no | — |
| 723 | #126 | — | 15 | 2 | no | — |
| 724 | #125 | — | 3 | 1 | no | — |
| 725 | #125 | — | 3 | 1 | no | — |
| 726 | #125 | — | 5 | 1 | no | — |
| 727 | #125 | — | 15 | 2 | no | — |
| 728 | #125 | — | 15 | 2 | no | — |
| 729 | #125 | — | 15 | 2 | no | — |
| 730 | #125 | — | 15 | 2 | no | — |
| 731 | #125 | — | 15 | 2 | no | — |
| 732 | #125 | — | 15 | 2 | no | — |
| 733 | #125 | — | 15 | 2 | no | — |
| 734 | #125 | — | 15 | 2 | no | — |
| 735 | #125 | — | 15 | 1 | no | — |
| 736 | #124 | — | 15 | 2 | no | — |
| 737 | #124 | — | 15 | 2 | no | — |
| 738 | #124 | — | 15 | 2 | no | — |
| 739 | #124 | — | 15 | 2 | no | — |
| 740 | #124 | — | 15 | 1 | no | — |
| 741 | #124 | D3×D5 | 1 | 1 | yes | characteristic |
| 742 | #123 | — | 3 | 2 | no | — |
| 743 | #123 | — | 5 | 2 | no | — |
| 744 | #123 | — | 15 | 2 | no | — |
| 745 | #123 | — | 15 | 2 | no | — |
| 746 | #123 | — | 15 | 2 | no | — |
| 747 | #123 | — | 15 | 2 | no | — |
| 748 | #123 | — | 15 | 2 | no | — |
| 749 | #123 | — | 15 | 2 | no | — |
| 750 | #123 | — | 15 | 2 | no | — |
| 751 | #123 | — | 15 | 2 | no | — |
| 752 | C22⋊Q8 | — | 3 | 2 | no | — |
| 753 | C22⋊Q8 | — | 3 | 2 | no | — |
| 754 | C22⋊Q8 | — | 5 | 1 | no | — |
| 755 | C22⋊Q8 | — | 15 | 2 | no | — |
| 756 | C22⋊Q8 | — | 15 | 2 | no | — |
| 757 | C22⋊Q8 | — | 15 | 2 | no | — |
| 758 | C22⋊Q8 | — | 15 | 2 | no | — |
| 759 | C22⋊Q8 | — | 15 | 2 | no | — |
| 760 | C22⋊Q8 | — | 15 | 2 | no | — |
| 761 | C22⋊Q8 | — | 15 | 2 | no | — |
| 762 | C22⋊Q8 | — | 15 | 1 | no | — |
| 763 | C22⋊Q8 | — | 15 | 2 | no | — |
| 764 | C22⋊Q8 | — | 15 | 2 | no | — |
| 765 | C22⋊Q8 | — | 15 | 2 | no | — |
| 766 | C22⋊Q8 | — | 15 | 2 | no | — |
| 767 | C22⋊Q8 | — | 15 | 2 | no | — |
| 768 | #121 | — | 5 | 1 | no | — |
| 769 | #121 | — | 15 | 2 | no | — |
| 770 | #121 | — | 15 | 1 | no | — |
| 771 | #121 | — | 15 | 2 | no | — |
| 772 | #121 | — | 15 | 2 | no | — |
| 773 | #121 | — | 15 | 2 | no | — |
| 774 | C4×Q8 | — | 5 | 1 | no | — |
| 775 | C4×Q8 | — | 15 | 1 | no | — |
| 776 | C4×Q8 | — | 15 | 2 | no | — |
| 777 | C4×Q8 | — | 15 | 2 | no | — |
| 778 | C4×Q8 | — | 15 | 2 | no | — |
| 779 | C4×Q8 | — | 15 | 2 | no | — |
| 780 | C4×D4 | — | 5 | 1 | no | — |
| 781 | C4×D4 | — | 5 | 2 | no | — |
| 782 | C4×D4 | — | 15 | 1 | no | — |
| 783 | C4×D4 | — | 15 | 2 | no | — |
| 784 | C4×D4 | — | 15 | 2 | no | — |
| 785 | C4×D4 | — | 15 | 2 | no | — |
| 786 | #117 | — | 5 | 2 | no | — |
| 787 | #117 | — | 15 | 2 | no | — |
| 788 | #117 | — | 15 | 2 | no | — |
| 789 | #117 | — | 15 | 2 | no | — |
| 790 | #117 | — | 15 | 1 | no | — |
| 791 | #117 | — | 15 | 1 | no | — |
| 792 | C2×C42 | — | 5 | 1 | no | — |
| 793 | C2×C42 | — | 15 | 2 | no | — |
| 794 | C2×C42 | — | 15 | 2 | no | — |
| 795 | C2×C3×C5 | — | 4 | 2 | no | — |
| 796 | C2×C3×C5 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 797 | C2×C3×C5 | #585 | 1 | 1 | yes | characteristic |
| 798 | C2×C3×C5 | #585 | 1 | 1 | yes | characteristic |
| 799 | D15 | — | 4 | 2 | no | — |
| 800 | C3×D5 | — | 4 | 1 | no | — |
| 801 | C23×C3 | — | 5 | 1 | no | — |
| 802 | C23×C3 | C23×D5 | 1 | 2 | yes | — |
| 803 | C22×D3 | — | 5 | 2 | no | — |
| 804 | C3×Q8 | — | 4 | 1 | no | — |
| 805 | C3×D4 | — | 4 | 1 | no | — |
| 806 | C3×D4 | — | 20 | 2 | no | — |
| 807 | C2×C3×C4 | — | 5 | 1 | no | — |
| 808 | C2×C3×C4 | — | 5 | 2 | no | — |
| 809 | C2×C3×C4 | — | 5 | 2 | no | — |
| 810 | C2×C3×C4 | — | 5 | 1 | no | — |
| 811 | C2×C3×C4 | — | 5 | 1 | no | — |
| 812 | C2×C3×C4 | — | 10 | 2 | no | — |
| 813 | C2×C3×C4 | — | 10 | 4 | no | — |
| 814 | C2×C3×C4 | — | 20 | 1 | no | — |
| 815 | C2×C3×C4 | — | 20 | 1 | no | — |
| 816 | C2×C3×C4 | C23×D5 | 1 | 2 | yes | — |
| 817 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 818 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 819 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 820 | #67 | — | 20 | 2 | no | — |
| 821 | #67 | — | 20 | 2 | no | — |
| 822 | #67 | — | 20 | 2 | no | — |
| 823 | C2×Dic3 | — | 4 | 2 | no | — |
| 824 | C2×Dic3 | — | 5 | 2 | no | — |
| 825 | C2×Dic3 | — | 5 | 2 | no | — |
| 826 | C2×Dic3 | — | 5 | 2 | no | — |
| 827 | C2×Dic3 | — | 20 | 2 | no | — |
| 828 | C2×Dic3 | C23×D5 | 1 | 2 | yes | — |
| 829 | C2×Dic3 | C23×D5 | 1 | 2 | yes | — |
| 830 | C2×Dic3 | C23×D5 | 1 | 2 | yes | — |
| 831 | C2×Dic3 | C23×D5 | 1 | 2 | yes | — |
| 832 | D12 | — | 20 | 1 | no | — |
| 833 | C4×D3 | — | 10 | 4 | no | — |
| 834 | C4×D3 | — | 20 | 2 | no | — |
| 835 | C4×D3 | — | 20 | 2 | no | — |
| 836 | Dic6 | — | 4 | 2 | no | — |
| 837 | Dic6 | — | 20 | 2 | no | — |
| 838 | Dic6 | — | 20 | 2 | no | — |
| 839 | Dic6 | — | 20 | 2 | no | — |
| 840 | Dic6 | — | 20 | 1 | no | — |
| 841 | C22×C5 | — | 2 | 2 | no | — |
| 842 | C22×C5 | — | 2 | 2 | no | — |
| 843 | C22×C5 | — | 2 | 2 | no | — |
| 844 | C22×C5 | C24×D3 | 1 | 1 | yes | characteristic |
| 845 | C2×D5 | — | 2 | 1 | no | — |
| 846 | C2×D5 | — | 2 | 1 | no | — |
| 847 | C2×D5 | — | 2 | 1 | no | — |
| 848 | C2×D5 | — | 6 | 2 | no | — |
| 849 | C2×D5 | — | 6 | 2 | no | — |
| 850 | C2×D5 | — | 6 | 2 | no | — |
| 851 | C4×C5 | — | 2 | 1 | no | — |
| 852 | C4×C5 | — | 2 | 1 | no | — |
| 853 | C4×C5 | — | 2 | 1 | no | — |
| 854 | C4×C5 | — | 2 | 2 | no | — |
| 855 | C4×C5 | — | 6 | 2 | no | — |
| 856 | C4×C5 | — | 6 | 2 | no | — |
| 857 | C4×C5 | — | 6 | 2 | no | — |
| 858 | C4×C5 | — | 6 | 2 | no | — |
| 859 | Dic5 | — | 2 | 2 | no | — |
| 860 | Dic5 | — | 2 | 1 | no | — |
| 861 | Dic5 | — | 2 | 1 | no | — |
| 862 | Dic5 | — | 2 | 2 | no | — |
| 863 | Dic5 | — | 6 | 2 | no | — |
| 864 | Dic5 | — | 6 | 2 | no | — |
| 865 | Dic5 | — | 6 | 2 | no | — |
| 866 | Dic5 | #1010 | 1 | 2 | yes | — |
| 867 | C2×Q8 | — | 3 | 2 | no | — |
| 868 | C2×Q8 | — | 15 | 2 | no | — |
| 869 | C2×Q8 | — | 15 | 2 | no | — |
| 870 | C2×Q8 | — | 15 | 2 | no | — |
| 871 | C2×Q8 | — | 15 | 1 | no | — |
| 872 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 873 | C2×D4 | — | 5 | 2 | no | — |
| 874 | C2×D4 | — | 15 | 2 | no | — |
| 875 | C2×D4 | — | 15 | 2 | no | — |
| 876 | C2×D4 | — | 15 | 2 | no | — |
| 877 | C2×D4 | — | 15 | 1 | no | — |
| 878 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 879 | C22×C4 | — | 3 | 2 | no | — |
| 880 | C22×C4 | — | 5 | 2 | no | — |
| 881 | C22×C4 | — | 5 | 1 | no | — |
| 882 | C22×C4 | — | 5 | 1 | no | — |
| 883 | C22×C4 | — | 5 | 1 | no | — |
| 884 | C22×C4 | — | 15 | 2 | no | — |
| 885 | C22×C4 | — | 15 | 2 | no | — |
| 886 | C22×C4 | — | 15 | 2 | no | — |
| 887 | C22×C4 | — | 15 | 2 | no | — |
| 888 | C4⋊C4 | — | 3 | 1 | no | — |
| 889 | C4⋊C4 | — | 3 | 2 | no | — |
| 890 | C4⋊C4 | — | 3 | 1 | no | — |
| 891 | C4⋊C4 | — | 3 | 2 | no | — |
| 892 | C4⋊C4 | — | 3 | 2 | no | — |
| 893 | C4⋊C4 | — | 3 | 1 | no | — |
| 894 | C4⋊C4 | — | 3 | 1 | no | — |
| 895 | C4⋊C4 | — | 3 | 2 | no | — |
| 896 | C4⋊C4 | — | 3 | 2 | no | — |
| 897 | C4⋊C4 | — | 3 | 2 | no | — |
| 898 | C4⋊C4 | — | 5 | 2 | no | — |
| 899 | C4⋊C4 | — | 5 | 2 | no | — |
| 900 | C4⋊C4 | — | 5 | 1 | no | — |
| 901 | C4⋊C4 | — | 5 | 2 | no | — |
| 902 | C4⋊C4 | — | 5 | 1 | no | — |
| 903 | C4⋊C4 | — | 5 | 2 | no | — |
| 904 | C4⋊C4 | — | 15 | 2 | no | — |
| 905 | C4⋊C4 | — | 15 | 2 | no | — |
| 906 | C4⋊C4 | — | 15 | 2 | no | — |
| 907 | C4⋊C4 | — | 15 | 2 | no | — |
| 908 | C4⋊C4 | — | 15 | 2 | no | — |
| 909 | C4⋊C4 | — | 15 | 2 | no | — |
| 910 | C4⋊C4 | — | 15 | 2 | no | — |
| 911 | C4⋊C4 | — | 15 | 2 | no | — |
| 912 | C4⋊C4 | — | 15 | 2 | no | — |
| 913 | C4⋊C4 | — | 15 | 2 | no | — |
| 914 | C4⋊C4 | — | 15 | 2 | no | — |
| 915 | C4⋊C4 | — | 15 | 2 | no | — |
| 916 | C4⋊C4 | — | 15 | 1 | no | — |
| 917 | C4⋊C4 | — | 15 | 1 | no | — |
| 918 | C4⋊C4 | — | 15 | 2 | no | — |
| 919 | C4⋊C4 | — | 15 | 2 | no | — |
| 920 | C4⋊C4 | — | 15 | 2 | no | — |
| 921 | C4⋊C4 | — | 15 | 2 | no | — |
| 922 | C22⋊C4 | — | 3 | 2 | no | — |
| 923 | C22⋊C4 | — | 3 | 2 | no | — |
| 924 | C22⋊C4 | — | 3 | 2 | no | — |
| 925 | C22⋊C4 | — | 5 | 2 | no | — |
| 926 | C22⋊C4 | — | 5 | 2 | no | — |
| 927 | C22⋊C4 | — | 5 | 2 | no | — |
| 928 | C22⋊C4 | — | 15 | 2 | no | — |
| 929 | C22⋊C4 | — | 15 | 2 | no | — |
| 930 | C22⋊C4 | — | 15 | 2 | no | — |
| 931 | C22⋊C4 | — | 15 | 2 | no | — |
| 932 | C22⋊C4 | — | 15 | 2 | no | — |
| 933 | C22⋊C4 | — | 15 | 2 | no | — |
| 934 | C22⋊C4 | — | 15 | 2 | no | — |
| 935 | C22⋊C4 | — | 15 | 2 | no | — |
| 936 | C22⋊C4 | — | 15 | 2 | no | — |
| 937 | C22⋊C4 | — | 15 | 2 | no | — |
| 938 | C22⋊C4 | — | 15 | 2 | no | — |
| 939 | C22⋊C4 | — | 15 | 2 | no | — |
| 940 | C22⋊C4 | C2×D3×D5 | 1 | 2 | yes | — |
| 941 | C22⋊C4 | C2×D3×D5 | 1 | 2 | yes | — |
| 942 | C42 | — | 3 | 2 | no | — |
| 943 | C42 | — | 5 | 1 | no | — |
| 944 | C42 | — | 5 | 1 | no | — |
| 945 | C42 | — | 5 | 1 | no | — |
| 946 | C42 | — | 5 | 2 | no | — |
| 947 | C42 | — | 15 | 2 | no | — |
| 948 | C42 | — | 15 | 2 | no | — |
| 949 | C42 | — | 15 | 2 | no | — |
| 950 | C42 | — | 15 | 2 | no | — |
| 951 | C42 | — | 15 | 2 | no | — |
| 952 | C42 | — | 15 | 2 | no | — |
| 953 | C42 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 954 | C3×C5 | #3531 | 1 | 1 | yes | characteristic, complemented, Hall |
| 955 | C22×C3 | — | 2 | 2 | no | — |
| 956 | C22×C3 | — | 2 | 2 | no | — |
| 957 | C22×C3 | — | 2 | 2 | no | — |
| 958 | C22×C3 | — | 10 | 1 | no | — |
| 959 | C22×C3 | — | 10 | 1 | no | — |
| 960 | C22×C3 | — | 10 | 1 | no | — |
| 961 | C22×C3 | C24×D5 | 1 | 1 | yes | characteristic |
| 962 | C2×D3 | — | 10 | 2 | no | — |
| 963 | C2×D3 | — | 10 | 2 | no | — |
| 964 | C2×D3 | — | 10 | 2 | no | — |
| 965 | C3×C4 | — | 2 | 2 | no | — |
| 966 | C3×C4 | — | 2 | 1 | no | — |
| 967 | C3×C4 | — | 2 | 1 | no | — |
| 968 | C3×C4 | — | 2 | 1 | no | — |
| 969 | C3×C4 | — | 5 | 2 | no | — |
| 970 | C3×C4 | — | 10 | 1 | no | — |
| 971 | C3×C4 | — | 10 | 2 | no | — |
| 972 | C3×C4 | — | 10 | 1 | no | — |
| 973 | C3×C4 | — | 10 | 2 | no | — |
| 974 | Dic3 | — | 2 | 2 | no | — |
| 975 | Dic3 | — | 2 | 2 | no | — |
| 976 | Dic3 | — | 2 | 2 | no | — |
| 977 | Dic3 | — | 2 | 2 | no | — |
| 978 | Dic3 | — | 10 | 2 | no | — |
| 979 | Dic3 | — | 10 | 2 | no | — |
| 980 | Dic3 | — | 10 | 2 | no | — |
| 981 | C2×C5 | — | 4 | 2 | no | — |
| 982 | C2×C5 | C2×#1010 | 1 | 1 | yes | characteristic |
| 983 | C2×C5 | #5964 | 1 | 1 | yes | characteristic |
| 984 | C2×C5 | #5964 | 1 | 1 | yes | characteristic |
| 985 | D5 | — | 4 | 1 | no | — |
| 986 | D5 | — | 12 | 2 | no | — |
| 987 | C23 | — | 5 | 1 | no | — |
| 988 | C23 | — | 15 | 2 | no | — |
| 989 | C23 | C22×D3×D5 | 1 | 2 | yes | — |
| 990 | Q8 | — | 4 | 1 | no | — |
| 991 | Q8 | — | 12 | 2 | no | — |
| 992 | Q8 | — | 60 | 1 | no | — |
| 993 | Q8 | — | 60 | 2 | no | — |
| 994 | Q8 | — | 60 | 2 | no | — |
| 995 | Q8 | — | 60 | 2 | no | — |
| 996 | D4 | — | 4 | 1 | no | — |
| 997 | D4 | — | 20 | 2 | no | — |
| 998 | D4 | — | 60 | 1 | no | — |
| 999 | D4 | — | 60 | 2 | no | — |
| 1000 | D4 | — | 60 | 2 | no | — |
| 1001 | D4 | — | 60 | 2 | no | — |
| 1002 | C2×C4 | — | 3 | 2 | no | — |
| 1003 | C2×C4 | — | 3 | 2 | no | — |
| 1004 | C2×C4 | — | 3 | 2 | no | — |
| 1005 | C2×C4 | — | 3 | 2 | no | — |
| 1006 | C2×C4 | — | 5 | 1 | no | — |
| 1007 | C2×C4 | — | 5 | 1 | no | — |
| 1008 | C2×C4 | — | 5 | 1 | no | — |
| 1009 | C2×C4 | — | 5 | 2 | no | — |
| 1010 | C2×C4 | — | 5 | 2 | no | — |
| 1011 | C2×C4 | — | 10 | 2 | no | — |
| 1012 | C2×C4 | — | 10 | 4 | no | — |
| 1013 | C2×C4 | — | 12 | 2 | no | — |
| 1014 | C2×C4 | — | 15 | 2 | no | — |
| 1015 | C2×C4 | — | 15 | 2 | no | — |
| 1016 | C2×C4 | — | 15 | 2 | no | — |
| 1017 | C2×C4 | — | 20 | 1 | no | — |
| 1018 | C2×C4 | — | 20 | 1 | no | — |
| 1019 | C2×C4 | — | 30 | 4 | no | — |
| 1020 | C2×C4 | — | 60 | 2 | no | — |
| 1021 | C2×C4 | — | 60 | 2 | no | — |
| 1022 | C2×C4 | — | 60 | 2 | no | — |
| 1023 | C2×C4 | C22×D3×D5 | 1 | 2 | yes | — |
| 1024 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 1025 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 1026 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 1027 | C2×C3 | — | 4 | 2 | no | — |
| 1028 | C2×C3 | — | 20 | 1 | no | — |
| 1029 | C2×C3 | #66285 | 1 | 1 | yes | characteristic |
| 1030 | C2×C3 | D5×2−1+4 | 1 | 1 | yes | characteristic |
| 1031 | C2×C3 | #66287 | 1 | 1 | yes | characteristic |
| 1032 | D3 | — | 20 | 2 | no | — |
| 1033 | C5 | #86132 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1034 | C22 | — | 2 | 2 | no | — |
| 1035 | C22 | — | 2 | 2 | no | — |
| 1036 | C22 | — | 2 | 2 | no | — |
| 1037 | C22 | — | 10 | 1 | no | — |
| 1038 | C22 | — | 10 | 1 | no | — |
| 1039 | C22 | — | 10 | 1 | no | — |
| 1040 | C22 | — | 30 | 2 | no | — |
| 1041 | C22 | — | 30 | 2 | no | — |
| 1042 | C22 | — | 30 | 2 | no | — |
| 1043 | C22 | C23×D3×D5 | 1 | 1 | yes | characteristic |
| 1044 | C4 | — | 2 | 1 | no | — |
| 1045 | C4 | — | 2 | 1 | no | — |
| 1046 | C4 | — | 2 | 2 | no | — |
| 1047 | C4 | — | 2 | 1 | no | — |
| 1048 | C4 | — | 5 | 2 | no | — |
| 1049 | C4 | — | 6 | 2 | no | — |
| 1050 | C4 | — | 6 | 2 | no | — |
| 1051 | C4 | — | 6 | 2 | no | — |
| 1052 | C4 | — | 6 | 2 | no | — |
| 1053 | C4 | — | 10 | 1 | no | — |
| 1054 | C4 | — | 10 | 2 | no | — |
| 1055 | C4 | — | 10 | 1 | no | — |
| 1056 | C4 | — | 10 | 2 | no | — |
| 1057 | C4 | — | 30 | 2 | no | — |
| 1058 | C4 | — | 30 | 2 | no | — |
| 1059 | C4 | — | 30 | 2 | no | — |
| 1060 | C3 | #10619017 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1061 | C2 | — | 4 | 2 | no | — |
| 1062 | C2 | — | 20 | 1 | no | — |
| 1063 | C2 | — | 60 | 2 | no | — |
| 1064 | C2 | #11757034 | 1 | 1 | yes | characteristic |
| 1065 | C2 | D5×#1010 | 1 | 1 | yes | characteristic |
| 1066 | C2 | #11757060 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C23×D3×D5 |
| commutator, socle, cosocle | C22×C3×C5 | C25 |
| Fitting | C3×C5×#124 | C22 |
| hypercenter | #124 | D3×D5 |
| hypocenter | C3×C5 | #3531 |
| LCS | G ▷ C22×C3×C5 ▷ C3×C5 | |
| UCS | C1 ◁ C22 ◁ #124 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11756443 | C2 | semidirect |
| 2. C5×#5672 | C2 | semidirect |
| 3. C3×#66014 | C2 | semidirect |
| 4. #11755184 | C2 | semidirect |
| 5. #11755135 | C2 | semidirect |
| 6. #11754994 | C2 | semidirect |
| 7. #11754729 | C2 | semidirect |
| 8. #11753197 | C2 | semidirect |
| 9. #11753108 | C2 | semidirect |
| 10. #11752905 | C2 | semidirect |
| 11. #11752904 | C2 | semidirect |
| 12. #11752815 | C2 | semidirect |
| 13. #11752812 | C2 | semidirect |
| 14. #11752811 | C2 | semidirect |
| 15. #11752789 | C2 | semidirect |
| 16. #11752685 | C2 | semidirect |
| 17. #11752498 | C2 | semidirect |
| 18. #11752488 | C2 | semidirect |
| 19. #11752474 | C2 | semidirect |
| 121. #66014 | D3 | semidirect |
| 221. #5672 | D5 | semidirect |
| 954. C3×C5 | #3531 | semidirect |
| 1033. C5 | #86132 | semidirect |
| 1060. C3 | #10619017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.