Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
2116 conjugacy classes of subgroups.
The subgroup lattice has 1184 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11756475 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#5720 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#66054 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11755015 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11755001 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11754996 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11754989 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11754985 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11754983 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11754907 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11754866 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #11754824 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11754820 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #11754815 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11754768 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #11754759 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #11754735 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #11752702 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #11752659 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #10618971 | — | 3 | 1 | no | maximal, Hall |
| 21 | C2×#6819 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C22×D3×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#6780 | C22 | 1 | 2 | yes | — |
| 25 | C22×D5×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C3×C5×#127 | C22 | 1 | 1 | yes | characteristic |
| 27 | #91827 | C22 | 1 | 2 | yes | complemented |
| 28 | #91827 | C22 | 1 | 2 | yes | complemented |
| 29 | #91825 | C22 | 1 | 1 | yes | characteristic |
| 30 | #91825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | D4×Dic15 | C22 | 1 | 2 | yes | complemented |
| 32 | D4×Dic15 | C22 | 1 | 2 | yes | complemented |
| 33 | C42×D15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #91758 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C5×#939 | C22 | 1 | 2 | yes | — |
| 36 | C5×#939 | C22 | 1 | 2 | yes | — |
| 37 | C5×#939 | C22 | 1 | 2 | yes | complemented |
| 38 | C5×#937 | C22 | 1 | 1 | yes | characteristic |
| 39 | C5×#937 | C22 | 1 | 2 | yes | complemented |
| 40 | C5×#935 | C22 | 1 | 1 | yes | characteristic |
| 41 | C5×#935 | C22 | 1 | 2 | yes | complemented |
| 42 | C5×#876 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#4085 | C22 | 1 | 2 | yes | — |
| 44 | C3×#4085 | C22 | 1 | 2 | yes | — |
| 45 | C3×#4085 | C22 | 1 | 2 | yes | complemented |
| 46 | C3×#4083 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#4083 | C22 | 1 | 2 | yes | complemented |
| 48 | C3×#4081 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×#4081 | C22 | 1 | 2 | yes | complemented |
| 50 | C3×#4022 | C22 | 1 | 2 | yes | complemented |
| 51 | #91575 | C22 | 1 | 2 | yes | complemented |
| 52 | #91575 | C22 | 1 | 2 | yes | complemented |
| 53 | #91574 | C22 | 1 | 2 | yes | complemented |
| 54 | #91574 | C22 | 1 | 2 | yes | complemented |
| 55 | #91570 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #91569 | C22 | 1 | 2 | yes | complemented |
| 57 | #91568 | C22 | 1 | 2 | yes | — |
| 58 | #91567 | C22 | 1 | 2 | yes | — |
| 59 | #91566 | C22 | 1 | 2 | yes | complemented |
| 60 | #91565 | C22 | 1 | 2 | yes | — |
| 61 | #91564 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #91563 | C22 | 1 | 2 | yes | — |
| 63 | #67⋊Dic5 | C22 | 1 | 2 | yes | — |
| 64 | #67⋊Dic5 | C22 | 1 | 2 | yes | complemented |
| 65 | #91559 | C22 | 1 | 2 | yes | — |
| 66 | #91559 | C22 | 1 | 2 | yes | complemented |
| 67 | #91558 | C22 | 1 | 2 | yes | — |
| 68 | #91555 | C22 | 1 | 2 | yes | complemented |
| 69 | #91550 | C22 | 1 | 2 | yes | — |
| 70 | #91549 | C22 | 1 | 2 | yes | — |
| 71 | #91548 | C22 | 1 | 2 | yes | complemented |
| 72 | #91546 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #91542 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | #91539 | C22 | 1 | 2 | yes | complemented |
| 75 | #91536 | C22 | 1 | 2 | yes | complemented |
| 76 | #91534 | C22 | 1 | 2 | yes | — |
| 77 | #91532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | #91532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | #91531 | C22 | 1 | 2 | yes | complemented |
| 80 | #91530 | C22 | 1 | 2 | yes | complemented |
| 81 | C2×Dic3×Dic5 | C22 | 1 | 2 | yes | complemented |
| 82 | #91526 | C22 | 1 | 2 | yes | complemented |
| 83 | #91525 | C22 | 1 | 2 | yes | — |
| 84 | #91464 | C22 | 1 | 2 | yes | — |
| 85 | #91462 | C22 | 1 | 2 | yes | — |
| 86 | #91461 | C22 | 1 | 2 | yes | — |
| 87 | #91457 | C22 | 1 | 2 | yes | — |
| 88 | #91442 | C22 | 1 | 2 | yes | — |
| 89 | #91432 | C22 | 1 | 2 | yes | complemented |
| 90 | #91431 | C22 | 1 | 2 | yes | complemented |
| 91 | #91422 | C22 | 1 | 2 | yes | complemented |
| 92 | #91417 | C22 | 1 | 2 | yes | complemented |
| 93 | #91414 | C22 | 1 | 2 | yes | — |
| 94 | #91406 | C22 | 1 | 2 | yes | complemented |
| 95 | #91400 | C22 | 1 | 2 | yes | complemented |
| 96 | #91396 | C22 | 1 | 2 | yes | complemented |
| 97 | #91394 | C22 | 1 | 2 | yes | complemented |
| 98 | #91382 | C22 | 1 | 2 | yes | complemented |
| 99 | #91377 | C22 | 1 | 2 | yes | complemented |
| 100 | #91362 | C22 | 1 | 2 | yes | complemented |
| 101 | #91355 | C22 | 1 | 2 | yes | complemented |
| 102 | #91354 | C22 | 1 | 2 | yes | complemented |
| 103 | #91343 | C22 | 1 | 2 | yes | complemented |
| 104 | #91342 | C22 | 1 | 2 | yes | complemented |
| 105 | #91334 | C22 | 1 | 2 | yes | complemented |
| 106 | #91328 | C22 | 1 | 2 | yes | complemented |
| 107 | #91325 | C22 | 1 | 2 | yes | complemented |
| 108 | #87070 | — | 5 | 1 | no | maximal, Hall |
| 109 | C5×#560 | — | 3 | 1 | no | — |
| 110 | #66054 | D3 | 1 | 1 | yes | characteristic, complemented |
| 111 | #66050 | — | 3 | 1 | no | — |
| 112 | #66046 | — | 3 | 2 | no | — |
| 113 | #66040 | — | 3 | 2 | no | — |
| 114 | #66001 | — | 3 | 2 | no | — |
| 115 | #65990 | — | 3 | 1 | no | — |
| 116 | #65985 | — | 3 | 1 | no | — |
| 117 | #65983 | — | 3 | 2 | no | — |
| 118 | #65955 | — | 3 | 2 | no | — |
| 119 | #65955 | — | 3 | 2 | no | — |
| 120 | #65954 | — | 3 | 2 | no | — |
| 121 | #65940 | — | 3 | 2 | no | — |
| 122 | #65934 | — | 3 | 2 | no | — |
| 123 | #65930 | — | 3 | 2 | no | — |
| 124 | #65929 | — | 3 | 2 | no | — |
| 125 | #65928 | — | 3 | 1 | no | — |
| 126 | #65920 | — | 3 | 2 | no | — |
| 127 | #65920 | — | 3 | 1 | no | — |
| 128 | C23×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 129 | C23×C3×D5 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×C3×C5×D4 | C23 | 1 | 2 | yes | — |
| 132 | C2×C3×C5×D4 | C23 | 1 | 2 | yes | — |
| 133 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×#1220 | C23 | 1 | 2 | yes | — |
| 135 | C2×#1220 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×#1220 | C23 | 1 | 1 | yes | characteristic |
| 137 | C22×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 138 | C22×Dic15 | C23 | 1 | 2 | yes | — |
| 139 | C22×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 140 | #6819 | — | 4 | 2 | no | — |
| 141 | #6819 | — | 4 | 2 | no | — |
| 142 | C2×C4×D15 | C23 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×D15 | C23 | 1 | 2 | yes | — |
| 144 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 145 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C5×#67 | C23 | 1 | 2 | yes | — |
| 147 | C2×C5×#67 | C23 | 1 | 2 | yes | — |
| 148 | C2×C5×#67 | C23 | 1 | 2 | yes | — |
| 149 | C22×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 150 | C22×C5×Dic3 | C23 | 1 | 2 | yes | — |
| 151 | C2×C3×C22⋊D5 | C23 | 1 | 2 | yes | — |
| 152 | C2×C3×C22⋊D5 | C23 | 1 | 2 | yes | — |
| 153 | C2×C3×C22⋊D5 | C23 | 1 | 2 | yes | — |
| 154 | C22×C3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 155 | C22×C3×Dic5 | C23 | 1 | 2 | yes | — |
| 156 | C2×#1204 | C23 | 1 | 2 | yes | — |
| 157 | C2×#1204 | C23 | 1 | 2 | yes | — |
| 158 | C2×#1203 | C23 | 1 | 2 | yes | — |
| 159 | C2×#1202 | C23 | 1 | 2 | yes | — |
| 160 | C2×#1201 | C23 | 1 | 2 | yes | — |
| 161 | C2×#1201 | C23 | 1 | 2 | yes | — |
| 162 | C2×D3×Dic5 | — | 4 | 2 | no | — |
| 163 | C2×D3×Dic5 | C23 | 1 | 2 | yes | — |
| 164 | C2×D3×Dic5 | C23 | 1 | 2 | yes | — |
| 165 | #6780 | — | 4 | 4 | no | — |
| 166 | C2×D5×Dic3 | — | 4 | 2 | no | — |
| 167 | C2×D5×Dic3 | C23 | 1 | 2 | yes | — |
| 168 | C2×D5×Dic3 | C23 | 1 | 2 | yes | — |
| 169 | C3×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 170 | #6719 | C23 | 1 | 2 | yes | — |
| 171 | #6719 | C23 | 1 | 2 | yes | — |
| 172 | #6719 | C23 | 1 | 2 | yes | — |
| 173 | #6719 | C23 | 1 | 2 | yes | — |
| 174 | C4⋊Dic15 | C23 | 1 | 2 | yes | — |
| 175 | C4⋊Dic15 | C23 | 1 | 2 | yes | — |
| 176 | C4×Dic15 | C23 | 1 | 2 | yes | — |
| 177 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 178 | C5×#217 | C23 | 1 | 2 | yes | — |
| 179 | C5×#217 | C23 | 1 | 1 | yes | characteristic |
| 180 | C5×#217 | C23 | 1 | 1 | yes | characteristic |
| 181 | C5×#217 | C23 | 1 | 2 | yes | — |
| 182 | C5×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 183 | C5×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 184 | C5×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 185 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 186 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 187 | C5×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 188 | C3×C22⋊Dic5 | C23 | 1 | 2 | yes | — |
| 189 | C3×C22⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 190 | C3×C22⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 191 | C3×C22⋊Dic5 | C23 | 1 | 2 | yes | — |
| 192 | C3×#685 | C23 | 1 | 2 | yes | — |
| 193 | C3×#685 | C23 | 1 | 2 | yes | — |
| 194 | C3×#685 | C23 | 1 | 2 | yes | — |
| 195 | C3×#683 | C23 | 1 | 2 | yes | — |
| 196 | C3×#683 | C23 | 1 | 2 | yes | — |
| 197 | C3×#683 | C23 | 1 | 2 | yes | — |
| 198 | Dic3⋊Dic5 | C23 | 1 | 2 | yes | — |
| 199 | Dic3⋊Dic5 | C23 | 1 | 2 | yes | — |
| 200 | Dic3⋊Dic5 | C23 | 1 | 2 | yes | — |
| 201 | #6669 | C23 | 1 | 2 | yes | — |
| 202 | #6669 | C23 | 1 | 2 | yes | — |
| 203 | #6669 | C23 | 1 | 2 | yes | — |
| 204 | #6669 | C23 | 1 | 2 | yes | — |
| 205 | #6668 | C23 | 1 | 2 | yes | — |
| 206 | #6668 | C23 | 1 | 2 | yes | — |
| 207 | #6668 | C23 | 1 | 2 | yes | — |
| 208 | #6667 | C23 | 1 | 2 | yes | — |
| 209 | #6667 | C23 | 1 | 2 | yes | — |
| 210 | (C2×D3)⋊Dic5 | C23 | 1 | 2 | yes | — |
| 211 | (C2×D3)⋊Dic5 | C23 | 1 | 2 | yes | — |
| 212 | (C2×D3)⋊Dic5 | C23 | 1 | 2 | yes | — |
| 213 | #6665 | C23 | 1 | 2 | yes | — |
| 214 | #6665 | C23 | 1 | 2 | yes | — |
| 215 | #6665 | C23 | 1 | 2 | yes | — |
| 216 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 217 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 218 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 219 | Dic3×Dic5 | C23 | 1 | 2 | yes | — |
| 220 | C3×#560 | — | 5 | 1 | no | — |
| 221 | #5720 | D5 | 1 | 1 | yes | characteristic, complemented |
| 222 | #5716 | — | 5 | 1 | no | — |
| 223 | #5712 | — | 5 | 2 | no | — |
| 224 | #5706 | — | 5 | 2 | no | — |
| 225 | #5667 | — | 5 | 2 | no | — |
| 226 | #5656 | — | 5 | 1 | no | — |
| 227 | #5651 | — | 5 | 1 | no | — |
| 228 | #5649 | — | 5 | 2 | no | — |
| 229 | #5621 | — | 5 | 2 | no | — |
| 230 | #5621 | — | 5 | 2 | no | — |
| 231 | #5620 | — | 5 | 2 | no | — |
| 232 | #5606 | — | 5 | 2 | no | — |
| 233 | #5600 | — | 5 | 2 | no | — |
| 234 | #5596 | — | 5 | 2 | no | — |
| 235 | #5595 | — | 5 | 2 | no | — |
| 236 | #5594 | — | 5 | 1 | no | — |
| 237 | #5586 | — | 5 | 2 | no | — |
| 238 | #5586 | — | 5 | 1 | no | — |
| 239 | C23×Dic5 | — | 3 | 1 | no | — |
| 240 | C2×#711 | — | 3 | 1 | no | — |
| 241 | C2×#711 | — | 3 | 1 | no | — |
| 242 | C2×#711 | — | 3 | 2 | no | — |
| 243 | C22×C4×D5 | — | 3 | 1 | no | — |
| 244 | C5×#127 | C2×D3 | 1 | 1 | yes | characteristic |
| 245 | C5×#126 | — | 3 | 2 | no | — |
| 246 | C5×#123 | — | 3 | 1 | no | — |
| 247 | C5×#123 | — | 3 | 2 | no | — |
| 248 | C5×#121 | — | 3 | 2 | no | — |
| 249 | C5×#121 | — | 3 | 2 | no | — |
| 250 | C5×#121 | — | 3 | 2 | no | — |
| 251 | C5×#120 | — | 3 | 1 | no | — |
| 252 | C5×#120 | — | 3 | 2 | no | — |
| 253 | #4099 | — | 3 | 2 | no | — |
| 254 | #4099 | — | 3 | 1 | no | — |
| 255 | #4086 | — | 3 | 2 | no | — |
| 256 | #4085 | — | 3 | 2 | no | — |
| 257 | #4085 | — | 3 | 2 | no | — |
| 258 | #4085 | — | 3 | 2 | no | — |
| 259 | #4085 | C2×D3 | 1 | 2 | yes | — |
| 260 | #4085 | C2×D3 | 1 | 2 | yes | — |
| 261 | #4085 | C2×D3 | 1 | 2 | yes | complemented |
| 262 | #4084 | — | 3 | 2 | no | — |
| 263 | #4084 | — | 3 | 2 | no | — |
| 264 | #4084 | — | 3 | 2 | no | — |
| 265 | #4083 | — | 3 | 2 | no | — |
| 266 | #4083 | C2×D3 | 1 | 1 | yes | characteristic |
| 267 | #4083 | C2×D3 | 1 | 2 | yes | complemented |
| 268 | #4082 | — | 3 | 1 | no | — |
| 269 | #4082 | — | 3 | 1 | no | — |
| 270 | #4082 | — | 3 | 2 | no | — |
| 271 | #4081 | — | 3 | 2 | no | — |
| 272 | #4081 | — | 3 | 2 | no | — |
| 273 | #4081 | C2×D3 | 1 | 1 | yes | characteristic |
| 274 | #4081 | C2×D3 | 1 | 2 | yes | complemented |
| 275 | D4×Dic5 | — | 3 | 2 | no | — |
| 276 | D4×Dic5 | — | 3 | 2 | no | — |
| 277 | D4×Dic5 | — | 3 | 2 | no | — |
| 278 | D4×Dic5 | — | 3 | 2 | no | — |
| 279 | #4076 | — | 3 | 2 | no | — |
| 280 | #4075 | — | 3 | 2 | no | — |
| 281 | #4075 | — | 3 | 1 | no | — |
| 282 | #4070 | — | 3 | 2 | no | — |
| 283 | #4070 | — | 3 | 2 | no | — |
| 284 | C2×C4×Dic5 | — | 3 | 2 | no | — |
| 285 | #4044 | — | 3 | 2 | no | — |
| 286 | #4043 | — | 3 | 2 | no | — |
| 287 | #4042 | — | 3 | 2 | no | — |
| 288 | #4042 | — | 3 | 2 | no | — |
| 289 | #4040 | — | 3 | 2 | no | — |
| 290 | #4039 | — | 3 | 2 | no | — |
| 291 | #4038 | — | 3 | 2 | no | — |
| 292 | #4036 | — | 3 | 2 | no | — |
| 293 | #4035 | — | 3 | 2 | no | — |
| 294 | #4035 | — | 3 | 2 | no | — |
| 295 | #4034 | — | 3 | 2 | no | — |
| 296 | #4033 | — | 3 | 2 | no | — |
| 297 | #4032 | — | 3 | 1 | no | — |
| 298 | #4032 | — | 3 | 2 | no | — |
| 299 | #4031 | — | 3 | 2 | no | — |
| 300 | #4031 | — | 3 | 2 | no | — |
| 301 | #4031 | — | 3 | 2 | no | — |
| 302 | #4031 | — | 3 | 2 | no | — |
| 303 | #4030 | — | 3 | 2 | no | — |
| 304 | #4030 | — | 3 | 2 | no | — |
| 305 | #4029 | — | 3 | 2 | no | — |
| 306 | #4029 | — | 3 | 2 | no | — |
| 307 | #4029 | — | 3 | 2 | no | — |
| 308 | #4028 | — | 3 | 1 | no | — |
| 309 | #4027 | — | 3 | 2 | no | — |
| 310 | #4027 | — | 3 | 2 | no | — |
| 311 | #4027 | — | 3 | 2 | no | — |
| 312 | #4027 | — | 3 | 2 | no | — |
| 313 | #4025 | — | 3 | 2 | no | — |
| 314 | #4025 | — | 3 | 2 | no | — |
| 315 | #4025 | — | 3 | 2 | no | — |
| 316 | #4024 | — | 3 | 2 | no | — |
| 317 | #4024 | — | 3 | 2 | no | — |
| 318 | #4024 | — | 3 | 2 | no | — |
| 319 | #4024 | — | 3 | 2 | no | — |
| 320 | #4023 | — | 3 | 1 | no | — |
| 321 | #4023 | — | 3 | 1 | no | — |
| 322 | #4023 | — | 3 | 2 | no | — |
| 323 | #4022 | C2×D3 | 1 | 2 | yes | complemented |
| 324 | C42×D5 | — | 3 | 1 | no | — |
| 325 | #4015 | — | 3 | 1 | no | — |
| 326 | #3529 | — | 15 | 1 | no | Sylow |
| 327 | C23×C3×C5 | C24 | 1 | 1 | yes | characteristic |
| 328 | C23×C3×C5 | C24 | 1 | 1 | yes | characteristic |
| 329 | C23×C3×C5 | C24 | 1 | 2 | yes | — |
| 330 | C22×D15 | C24 | 1 | 1 | yes | characteristic |
| 331 | C22×C5×D3 | — | 4 | 1 | no | — |
| 332 | C22×C5×D3 | — | 4 | 2 | no | — |
| 333 | C22×C5×D3 | C24 | 1 | 2 | yes | — |
| 334 | C22×C3×D5 | — | 4 | 1 | no | — |
| 335 | C22×C3×D5 | — | 4 | 2 | no | — |
| 336 | C22×C3×D5 | C24 | 1 | 2 | yes | — |
| 337 | C3×C5×D4 | — | 4 | 1 | no | — |
| 338 | C3×C5×D4 | — | 4 | 1 | no | — |
| 339 | C3×C5×D4 | — | 4 | 2 | no | — |
| 340 | C3×C5×D4 | — | 4 | 2 | no | — |
| 341 | C2×C3×C4×C5 | C24 | 1 | 2 | yes | — |
| 342 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 343 | #1220 | — | 4 | 1 | no | — |
| 344 | #1220 | — | 4 | 1 | no | — |
| 345 | #1220 | — | 4 | 2 | no | — |
| 346 | C2×Dic15 | — | 2 | 2 | no | — |
| 347 | C2×Dic15 | — | 2 | 4 | no | — |
| 348 | C2×Dic15 | — | 2 | 2 | no | — |
| 349 | C2×Dic15 | C24 | 1 | 2 | yes | — |
| 350 | C2×Dic15 | C24 | 1 | 1 | yes | characteristic |
| 351 | C2×Dic15 | C24 | 1 | 2 | yes | — |
| 352 | C2×Dic15 | C24 | 1 | 1 | yes | characteristic |
| 353 | C2×Dic15 | C24 | 1 | 1 | yes | characteristic |
| 354 | C4×D15 | — | 2 | 2 | no | — |
| 355 | C4×D15 | — | 4 | 2 | no | — |
| 356 | Dic30 | — | 4 | 1 | no | — |
| 357 | Dic30 | — | 4 | 1 | no | — |
| 358 | C5×#67 | — | 4 | 2 | no | — |
| 359 | C5×#67 | — | 4 | 2 | no | — |
| 360 | C5×#67 | — | 4 | 2 | no | — |
| 361 | C2×C5×Dic3 | — | 4 | 1 | no | — |
| 362 | C2×C5×Dic3 | — | 4 | 2 | no | — |
| 363 | C2×C5×Dic3 | C24 | 1 | 2 | yes | — |
| 364 | C2×C5×Dic3 | C24 | 1 | 2 | yes | — |
| 365 | C2×C5×Dic3 | C24 | 1 | 2 | yes | — |
| 366 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 367 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 368 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 369 | C2×C3×Dic5 | — | 4 | 1 | no | — |
| 370 | C2×C3×Dic5 | — | 4 | 2 | no | — |
| 371 | C2×C3×Dic5 | C24 | 1 | 2 | yes | — |
| 372 | C2×C3×Dic5 | C24 | 1 | 2 | yes | — |
| 373 | C2×C3×Dic5 | C24 | 1 | 2 | yes | — |
| 374 | #1204 | — | 4 | 2 | no | — |
| 375 | #1204 | — | 4 | 2 | no | — |
| 376 | #1203 | — | 4 | 2 | no | — |
| 377 | #1202 | — | 4 | 2 | no | — |
| 378 | #1201 | — | 4 | 2 | no | — |
| 379 | #1201 | — | 4 | 2 | no | — |
| 380 | D3×Dic5 | — | 2 | 4 | no | — |
| 381 | D3×Dic5 | — | 4 | 2 | no | — |
| 382 | D5×Dic3 | — | 2 | 4 | no | — |
| 383 | D5×Dic3 | — | 4 | 2 | no | — |
| 384 | C23×Dic3 | — | 5 | 1 | no | — |
| 385 | C2×#237 | — | 5 | 1 | no | — |
| 386 | C2×#237 | — | 5 | 1 | no | — |
| 387 | C2×#237 | — | 5 | 2 | no | — |
| 388 | C22×C4×D3 | — | 5 | 1 | no | — |
| 389 | C3×#127 | C2×D5 | 1 | 1 | yes | characteristic |
| 390 | C3×#126 | — | 5 | 2 | no | — |
| 391 | C3×#123 | — | 5 | 1 | no | — |
| 392 | C3×#123 | — | 5 | 2 | no | — |
| 393 | C3×#121 | — | 5 | 2 | no | — |
| 394 | C3×#121 | — | 5 | 2 | no | — |
| 395 | C3×#121 | — | 5 | 2 | no | — |
| 396 | C3×#120 | — | 5 | 1 | no | — |
| 397 | C3×#120 | — | 5 | 2 | no | — |
| 398 | #953 | — | 5 | 2 | no | — |
| 399 | #953 | — | 5 | 1 | no | — |
| 400 | #940 | — | 5 | 2 | no | — |
| 401 | #939 | — | 5 | 2 | no | — |
| 402 | #939 | — | 5 | 2 | no | — |
| 403 | #939 | — | 5 | 2 | no | — |
| 404 | #939 | C2×D5 | 1 | 2 | yes | — |
| 405 | #939 | C2×D5 | 1 | 2 | yes | — |
| 406 | #939 | C2×D5 | 1 | 2 | yes | complemented |
| 407 | #938 | — | 5 | 2 | no | — |
| 408 | #938 | — | 5 | 2 | no | — |
| 409 | #938 | — | 5 | 2 | no | — |
| 410 | #937 | — | 5 | 2 | no | — |
| 411 | #937 | C2×D5 | 1 | 1 | yes | characteristic |
| 412 | #937 | C2×D5 | 1 | 2 | yes | complemented |
| 413 | #936 | — | 5 | 1 | no | — |
| 414 | #936 | — | 5 | 1 | no | — |
| 415 | #936 | — | 5 | 2 | no | — |
| 416 | #935 | — | 5 | 2 | no | — |
| 417 | #935 | — | 5 | 2 | no | — |
| 418 | #935 | C2×D5 | 1 | 1 | yes | characteristic |
| 419 | #935 | C2×D5 | 1 | 2 | yes | complemented |
| 420 | D4×Dic3 | — | 5 | 2 | no | — |
| 421 | D4×Dic3 | — | 5 | 2 | no | — |
| 422 | D4×Dic3 | — | 5 | 2 | no | — |
| 423 | D4×Dic3 | — | 5 | 2 | no | — |
| 424 | #930 | — | 5 | 2 | no | — |
| 425 | #929 | — | 5 | 2 | no | — |
| 426 | #929 | — | 5 | 1 | no | — |
| 427 | #924 | — | 5 | 2 | no | — |
| 428 | #924 | — | 5 | 2 | no | — |
| 429 | C2×C4×Dic3 | — | 5 | 2 | no | — |
| 430 | #898 | — | 5 | 2 | no | — |
| 431 | #897 | — | 5 | 2 | no | — |
| 432 | #896 | — | 5 | 2 | no | — |
| 433 | #896 | — | 5 | 2 | no | — |
| 434 | #894 | — | 5 | 2 | no | — |
| 435 | #893 | — | 5 | 2 | no | — |
| 436 | #892 | — | 5 | 2 | no | — |
| 437 | #890 | — | 5 | 2 | no | — |
| 438 | #889 | — | 5 | 2 | no | — |
| 439 | #889 | — | 5 | 2 | no | — |
| 440 | #888 | — | 5 | 2 | no | — |
| 441 | #887 | — | 5 | 2 | no | — |
| 442 | #886 | — | 5 | 1 | no | — |
| 443 | #886 | — | 5 | 2 | no | — |
| 444 | #885 | — | 5 | 2 | no | — |
| 445 | #885 | — | 5 | 2 | no | — |
| 446 | #885 | — | 5 | 2 | no | — |
| 447 | #885 | — | 5 | 2 | no | — |
| 448 | #884 | — | 5 | 2 | no | — |
| 449 | #884 | — | 5 | 2 | no | — |
| 450 | #883 | — | 5 | 2 | no | — |
| 451 | #883 | — | 5 | 2 | no | — |
| 452 | #883 | — | 5 | 2 | no | — |
| 453 | #882 | — | 5 | 1 | no | — |
| 454 | #67⋊C4 | — | 5 | 2 | no | — |
| 455 | #67⋊C4 | — | 5 | 2 | no | — |
| 456 | #67⋊C4 | — | 5 | 2 | no | — |
| 457 | #67⋊C4 | — | 5 | 2 | no | — |
| 458 | #879 | — | 5 | 2 | no | — |
| 459 | #879 | — | 5 | 2 | no | — |
| 460 | #879 | — | 5 | 2 | no | — |
| 461 | #878 | — | 5 | 2 | no | — |
| 462 | #878 | — | 5 | 2 | no | — |
| 463 | #878 | — | 5 | 2 | no | — |
| 464 | #878 | — | 5 | 2 | no | — |
| 465 | #877 | — | 5 | 1 | no | — |
| 466 | #877 | — | 5 | 1 | no | — |
| 467 | #877 | — | 5 | 2 | no | — |
| 468 | #876 | C2×D5 | 1 | 2 | yes | complemented |
| 469 | C42×D3 | — | 5 | 1 | no | — |
| 470 | #869 | — | 5 | 1 | no | — |
| 471 | C24×C5 | — | 3 | 1 | no | — |
| 472 | C23×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 473 | C2×C5×D4 | — | 3 | 2 | no | — |
| 474 | C2×C5×D4 | — | 3 | 2 | no | — |
| 475 | C2×C5×D4 | — | 3 | 2 | no | — |
| 476 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 477 | C2×C5×D4 | C22×D3 | 1 | 2 | yes | — |
| 478 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 479 | C2×C5×D4 | C22×D3 | 1 | 2 | yes | — |
| 480 | C22×C4×C5 | — | 3 | 1 | no | — |
| 481 | C22×C4×C5 | — | 3 | 2 | no | — |
| 482 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 483 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 484 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 485 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 486 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 487 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 488 | C2×C22⋊D5 | C22×D3 | 1 | 2 | yes | — |
| 489 | C2×C22⋊D5 | C22×D3 | 1 | 2 | yes | — |
| 490 | C2×C22⋊D5 | C22×D3 | 1 | 2 | yes | — |
| 491 | C22×Dic5 | — | 3 | 1 | no | — |
| 492 | C22×Dic5 | — | 3 | 2 | no | — |
| 493 | C22×Dic5 | — | 3 | 1 | no | — |
| 494 | C22×Dic5 | — | 3 | 2 | no | — |
| 495 | C22×Dic5 | — | 3 | 2 | no | — |
| 496 | C22×Dic5 | — | 12 | 2 | no | — |
| 497 | C22×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 498 | C22×Dic5 | C22×D3 | 1 | 2 | yes | — |
| 499 | #711 | — | 12 | 4 | no | — |
| 500 | #711 | — | 12 | 2 | no | — |
| 501 | #711 | — | 12 | 2 | no | — |
| 502 | C2×D20 | — | 3 | 2 | no | — |
| 503 | C2×C4×D5 | — | 3 | 2 | no | — |
| 504 | C2×C4×D5 | — | 3 | 1 | no | — |
| 505 | C2×C4×D5 | — | 3 | 2 | no | — |
| 506 | C2×C4×D5 | — | 3 | 2 | no | — |
| 507 | C2×C4×D5 | — | 12 | 2 | no | — |
| 508 | C2×Dic10 | — | 3 | 1 | no | — |
| 509 | C2×Dic10 | — | 3 | 1 | no | — |
| 510 | C2×Dic10 | — | 3 | 2 | no | — |
| 511 | C2×Dic10 | — | 3 | 2 | no | — |
| 512 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 513 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 514 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 515 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 516 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 517 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 518 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 519 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 520 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 521 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 522 | C42×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 523 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 524 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 525 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 526 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 527 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 528 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 529 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 530 | C22⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 531 | C22⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 532 | C22⋊Dic5 | C22×D3 | 1 | 2 | yes | — |
| 533 | C22⋊Dic5 | C22×D3 | 1 | 2 | yes | — |
| 534 | #685 | — | 3 | 2 | no | — |
| 535 | #685 | — | 3 | 2 | no | — |
| 536 | #685 | — | 3 | 2 | no | — |
| 537 | #685 | — | 3 | 2 | no | — |
| 538 | #685 | — | 3 | 2 | no | — |
| 539 | #685 | C22×D3 | 1 | 2 | yes | — |
| 540 | #685 | C22×D3 | 1 | 2 | yes | — |
| 541 | #685 | C22×D3 | 1 | 2 | yes | — |
| 542 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 543 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 544 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 545 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 546 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 547 | #683 | — | 3 | 2 | no | — |
| 548 | #683 | — | 3 | 2 | no | — |
| 549 | #683 | — | 3 | 2 | no | — |
| 550 | #683 | — | 3 | 2 | no | — |
| 551 | #683 | — | 3 | 2 | no | — |
| 552 | #683 | — | 3 | 2 | no | — |
| 553 | #683 | — | 3 | 2 | no | — |
| 554 | #683 | C22×D3 | 1 | 2 | yes | — |
| 555 | #683 | C22×D3 | 1 | 2 | yes | — |
| 556 | #683 | C22×D3 | 1 | 2 | yes | — |
| 557 | C4×Dic5 | — | 3 | 2 | no | — |
| 558 | C4×Dic5 | — | 3 | 1 | no | — |
| 559 | C4×Dic5 | — | 3 | 2 | no | — |
| 560 | C4×Dic5 | — | 3 | 2 | no | — |
| 561 | C4×Dic5 | — | 3 | 2 | no | — |
| 562 | C4×Dic5 | — | 3 | 2 | no | — |
| 563 | #563 | — | 15 | 1 | no | — |
| 564 | #563 | — | 15 | 2 | no | — |
| 565 | #562 | — | 15 | 2 | no | — |
| 566 | #562 | — | 15 | 2 | no | — |
| 567 | #562 | — | 15 | 2 | no | — |
| 568 | H(3,𝔽4) | — | 15 | 1 | no | — |
| 569 | #560 | — | 3 | 1 | no | — |
| 570 | #560 | — | 5 | 1 | no | — |
| 571 | #560 | — | 15 | 2 | no | — |
| 572 | #560 | — | 15 | 2 | no | — |
| 573 | #532 | — | 15 | 2 | no | — |
| 574 | #532 | — | 15 | 1 | no | — |
| 575 | #529 | — | 15 | 2 | no | — |
| 576 | #529 | — | 15 | 2 | no | — |
| 577 | #529 | — | 15 | 2 | no | — |
| 578 | #525 | — | 15 | 2 | no | — |
| 579 | #525 | — | 15 | 1 | no | — |
| 580 | #525 | — | 15 | 2 | no | — |
| 581 | #525 | — | 15 | 1 | no | — |
| 582 | C22×C3×C5 | — | 2 | 1 | no | — |
| 583 | C22×C3×C5 | — | 2 | 2 | no | — |
| 584 | C22×C3×C5 | — | 2 | 1 | no | — |
| 585 | C22×C3×C5 | — | 2 | 2 | no | — |
| 586 | C22×C3×C5 | — | 2 | 2 | no | — |
| 587 | C22×C3×C5 | — | 2 | 2 | no | — |
| 588 | C22×C3×C5 | — | 2 | 2 | no | — |
| 589 | C22×C3×C5 | C25 | 1 | 1 | yes | characteristic |
| 590 | C2×D15 | — | 2 | 1 | no | — |
| 591 | C2×D15 | — | 2 | 2 | no | — |
| 592 | C2×C5×D3 | — | 2 | 2 | no | — |
| 593 | C2×C5×D3 | — | 2 | 2 | no | — |
| 594 | C2×C5×D3 | — | 2 | 2 | no | — |
| 595 | C2×C5×D3 | — | 4 | 4 | no | — |
| 596 | C2×C3×D5 | — | 2 | 2 | no | — |
| 597 | C2×C3×D5 | — | 2 | 2 | no | — |
| 598 | C2×C3×D5 | — | 2 | 2 | no | — |
| 599 | C2×C3×D5 | — | 4 | 4 | no | — |
| 600 | C3×C4×C5 | — | 2 | 1 | no | — |
| 601 | C3×C4×C5 | — | 2 | 2 | no | — |
| 602 | Dic15 | — | 2 | 1 | no | — |
| 603 | Dic15 | — | 2 | 1 | no | — |
| 604 | Dic15 | — | 2 | 2 | no | — |
| 605 | Dic15 | — | 2 | 2 | no | — |
| 606 | Dic15 | H(5,𝔽2) | 1 | 2 | yes | — |
| 607 | C3×Dic5 | — | 2 | 2 | no | — |
| 608 | C3×Dic5 | — | 2 | 2 | no | — |
| 609 | C3×Dic5 | — | 2 | 2 | no | — |
| 610 | C5×Dic3 | — | 2 | 2 | no | — |
| 611 | C5×Dic3 | — | 2 | 2 | no | — |
| 612 | C5×Dic3 | — | 2 | 2 | no | — |
| 613 | C24×C3 | — | 5 | 1 | no | — |
| 614 | C23×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 615 | C2×C3×D4 | — | 5 | 2 | no | — |
| 616 | C2×C3×D4 | — | 5 | 2 | no | — |
| 617 | C2×C3×D4 | — | 5 | 2 | no | — |
| 618 | C2×C3×D4 | C22×D5 | 1 | 2 | yes | — |
| 619 | C2×C3×D4 | C22×D5 | 1 | 2 | yes | — |
| 620 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 621 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 622 | C22×C3×C4 | — | 5 | 2 | no | — |
| 623 | C22×C3×C4 | — | 5 | 1 | no | — |
| 624 | C2×#67 | — | 5 | 1 | no | — |
| 625 | C2×#67 | — | 5 | 1 | no | — |
| 626 | C2×#67 | — | 5 | 2 | no | — |
| 627 | C2×#67 | — | 5 | 2 | no | — |
| 628 | C2×#67 | — | 5 | 2 | no | — |
| 629 | C2×#67 | — | 5 | 2 | no | — |
| 630 | C2×#67 | C22×D5 | 1 | 2 | yes | — |
| 631 | C2×#67 | C22×D5 | 1 | 2 | yes | — |
| 632 | C2×#67 | C22×D5 | 1 | 2 | yes | — |
| 633 | C22×Dic3 | — | 5 | 1 | no | — |
| 634 | C22×Dic3 | — | 5 | 1 | no | — |
| 635 | C22×Dic3 | — | 5 | 2 | no | — |
| 636 | C22×Dic3 | — | 5 | 2 | no | — |
| 637 | C22×Dic3 | — | 5 | 2 | no | — |
| 638 | C22×Dic3 | — | 20 | 2 | no | — |
| 639 | C22×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 640 | C22×Dic3 | C22×D5 | 1 | 2 | yes | — |
| 641 | #237 | — | 20 | 4 | no | — |
| 642 | #237 | — | 20 | 2 | no | — |
| 643 | #237 | — | 20 | 2 | no | — |
| 644 | C2×D12 | — | 5 | 2 | no | — |
| 645 | C2×C4×D3 | — | 5 | 2 | no | — |
| 646 | C2×C4×D3 | — | 5 | 1 | no | — |
| 647 | C2×C4×D3 | — | 5 | 2 | no | — |
| 648 | C2×C4×D3 | — | 5 | 2 | no | — |
| 649 | C2×C4×D3 | — | 20 | 2 | no | — |
| 650 | C2×Dic6 | — | 5 | 1 | no | — |
| 651 | C2×Dic6 | — | 5 | 1 | no | — |
| 652 | C2×Dic6 | — | 5 | 2 | no | — |
| 653 | C2×Dic6 | — | 5 | 2 | no | — |
| 654 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 655 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 656 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 657 | C3×C22⋊C4 | — | 5 | 1 | no | — |
| 658 | C3×C22⋊C4 | — | 5 | 1 | no | — |
| 659 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 660 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 661 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 662 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 663 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 664 | C3×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 665 | #217 | — | 5 | 2 | no | — |
| 666 | #217 | — | 5 | 2 | no | — |
| 667 | #217 | — | 5 | 2 | no | — |
| 668 | #217 | — | 5 | 2 | no | — |
| 669 | #217 | — | 5 | 2 | no | — |
| 670 | #217 | — | 5 | 2 | no | — |
| 671 | #217 | — | 5 | 2 | no | — |
| 672 | #217 | C22×D5 | 1 | 1 | yes | characteristic |
| 673 | #217 | C22×D5 | 1 | 1 | yes | characteristic |
| 674 | #217 | C22×D5 | 1 | 2 | yes | — |
| 675 | #217 | C22×D5 | 1 | 2 | yes | — |
| 676 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 677 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 678 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 679 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 680 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 681 | (C2×D3)⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 682 | (C2×D3)⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 683 | (C2×D3)⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 684 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 685 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 686 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 687 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 688 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 689 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 690 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 691 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 692 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 693 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 694 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 695 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 696 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 697 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 698 | Dic3⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 699 | C4×Dic3 | — | 5 | 2 | no | — |
| 700 | C4×Dic3 | — | 5 | 1 | no | — |
| 701 | C4×Dic3 | — | 5 | 2 | no | — |
| 702 | C4×Dic3 | — | 5 | 2 | no | — |
| 703 | C4×Dic3 | — | 5 | 2 | no | — |
| 704 | C4×Dic3 | — | 5 | 2 | no | — |
| 705 | C23×C5 | — | 3 | 2 | no | — |
| 706 | C23×C5 | — | 12 | 1 | no | — |
| 707 | C23×C5 | — | 12 | 2 | no | — |
| 708 | C23×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 709 | C23×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 710 | C23×C5 | C23×D3 | 1 | 2 | yes | — |
| 711 | C22×D5 | — | 3 | 1 | no | — |
| 712 | C22×D5 | — | 4 | 1 | no | — |
| 713 | C22×D5 | — | 4 | 2 | no | — |
| 714 | C22×D5 | C23×D3 | 1 | 2 | yes | — |
| 715 | C5×D4 | — | 4 | 1 | no | — |
| 716 | C5×D4 | — | 4 | 1 | no | — |
| 717 | C5×D4 | — | 4 | 2 | no | — |
| 718 | C5×D4 | — | 4 | 2 | no | — |
| 719 | C5×D4 | — | 12 | 2 | no | — |
| 720 | C5×D4 | — | 12 | 2 | no | — |
| 721 | C5×D4 | — | 12 | 2 | no | — |
| 722 | C2×C4×C5 | — | 3 | 2 | no | — |
| 723 | C2×C4×C5 | — | 3 | 2 | no | — |
| 724 | C2×C4×C5 | — | 3 | 2 | no | — |
| 725 | C2×C4×C5 | — | 12 | 1 | no | — |
| 726 | C2×C4×C5 | — | 12 | 2 | no | — |
| 727 | C2×C4×C5 | C23×D3 | 1 | 2 | yes | — |
| 728 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 729 | C22⋊D5 | — | 4 | 2 | no | — |
| 730 | C22⋊D5 | — | 4 | 2 | no | — |
| 731 | C22⋊D5 | — | 4 | 2 | no | — |
| 732 | C22⋊D5 | — | 12 | 2 | no | — |
| 733 | C22⋊D5 | — | 12 | 2 | no | — |
| 734 | C22⋊D5 | — | 12 | 2 | no | — |
| 735 | C22⋊D5 | — | 12 | 2 | no | — |
| 736 | C22⋊D5 | — | 12 | 1 | no | — |
| 737 | C22⋊D5 | — | 12 | 1 | no | — |
| 738 | C2×Dic5 | — | 3 | 1 | no | — |
| 739 | C2×Dic5 | — | 3 | 2 | no | — |
| 740 | C2×Dic5 | — | 3 | 2 | no | — |
| 741 | C2×Dic5 | — | 3 | 1 | no | — |
| 742 | C2×Dic5 | — | 3 | 1 | no | — |
| 743 | C2×Dic5 | — | 4 | 1 | no | — |
| 744 | C2×Dic5 | — | 4 | 2 | no | — |
| 745 | C2×Dic5 | — | 6 | 4 | no | — |
| 746 | C2×Dic5 | — | 6 | 2 | no | — |
| 747 | C2×Dic5 | — | 6 | 4 | no | — |
| 748 | C2×Dic5 | — | 6 | 2 | no | — |
| 749 | C2×Dic5 | — | 12 | 2 | no | — |
| 750 | C2×Dic5 | C23×D3 | 1 | 2 | yes | — |
| 751 | C2×Dic5 | C23×D3 | 1 | 2 | yes | — |
| 752 | C2×Dic5 | C23×D3 | 1 | 2 | yes | — |
| 753 | D20 | — | 12 | 2 | no | — |
| 754 | C4×D5 | — | 6 | 2 | no | — |
| 755 | C4×D5 | — | 6 | 4 | no | — |
| 756 | C4×D5 | — | 12 | 2 | no | — |
| 757 | C4×D5 | — | 12 | 2 | no | — |
| 758 | Dic10 | — | 12 | 2 | no | — |
| 759 | Dic10 | — | 12 | 2 | no | — |
| 760 | Dic10 | — | 12 | 1 | no | — |
| 761 | Dic10 | — | 12 | 1 | no | — |
| 762 | C2×#41 | — | 15 | 2 | no | — |
| 763 | C2×#41 | — | 15 | 1 | no | — |
| 764 | C2×#41 | — | 15 | 1 | no | — |
| 765 | C23×C4 | — | 15 | 1 | no | — |
| 766 | C23×C4 | — | 15 | 1 | no | — |
| 767 | C4⋊Q8 | — | 15 | 2 | no | — |
| 768 | C4⋊Q8 | — | 15 | 1 | no | — |
| 769 | #127 | — | 15 | 2 | no | — |
| 770 | #127 | D3×D5 | 1 | 1 | yes | characteristic |
| 771 | #126 | — | 3 | 2 | no | — |
| 772 | #126 | — | 5 | 2 | no | — |
| 773 | #126 | — | 15 | 2 | no | — |
| 774 | #126 | — | 15 | 2 | no | — |
| 775 | #126 | — | 15 | 2 | no | — |
| 776 | #126 | — | 15 | 2 | no | — |
| 777 | #125 | — | 15 | 2 | no | — |
| 778 | #125 | — | 15 | 2 | no | — |
| 779 | #125 | — | 15 | 2 | no | — |
| 780 | #124 | — | 15 | 2 | no | — |
| 781 | #124 | — | 15 | 2 | no | — |
| 782 | #124 | — | 15 | 2 | no | — |
| 783 | #124 | — | 15 | 2 | no | — |
| 784 | #124 | — | 15 | 2 | no | — |
| 785 | #124 | — | 15 | 1 | no | — |
| 786 | #124 | — | 15 | 1 | no | — |
| 787 | #123 | — | 3 | 1 | no | — |
| 788 | #123 | — | 3 | 2 | no | — |
| 789 | #123 | — | 5 | 1 | no | — |
| 790 | #123 | — | 5 | 2 | no | — |
| 791 | #123 | — | 15 | 2 | no | — |
| 792 | #123 | — | 15 | 2 | no | — |
| 793 | #123 | — | 15 | 2 | no | — |
| 794 | #123 | — | 15 | 1 | no | — |
| 795 | #123 | — | 15 | 2 | no | — |
| 796 | #123 | — | 15 | 2 | no | — |
| 797 | #123 | — | 15 | 1 | no | — |
| 798 | #123 | — | 15 | 2 | no | — |
| 799 | #123 | — | 15 | 2 | no | — |
| 800 | #123 | — | 15 | 2 | no | — |
| 801 | C22⋊Q8 | — | 15 | 2 | no | — |
| 802 | C22⋊Q8 | — | 15 | 2 | no | — |
| 803 | C22⋊Q8 | — | 15 | 2 | no | — |
| 804 | C22⋊Q8 | — | 15 | 2 | no | — |
| 805 | C22⋊Q8 | — | 15 | 2 | no | — |
| 806 | C22⋊Q8 | — | 15 | 2 | no | — |
| 807 | C22⋊Q8 | — | 15 | 2 | no | — |
| 808 | C22⋊Q8 | — | 15 | 2 | no | — |
| 809 | C22⋊Q8 | — | 15 | 2 | no | — |
| 810 | #121 | — | 3 | 2 | no | — |
| 811 | #121 | — | 3 | 2 | no | — |
| 812 | #121 | — | 3 | 2 | no | — |
| 813 | #121 | — | 5 | 2 | no | — |
| 814 | #121 | — | 5 | 2 | no | — |
| 815 | #121 | — | 5 | 2 | no | — |
| 816 | #121 | — | 15 | 2 | no | — |
| 817 | #121 | — | 15 | 2 | no | — |
| 818 | #121 | — | 15 | 2 | no | — |
| 819 | #121 | — | 15 | 2 | no | — |
| 820 | #121 | — | 15 | 2 | no | — |
| 821 | #121 | — | 15 | 2 | no | — |
| 822 | #121 | — | 15 | 2 | no | — |
| 823 | #121 | — | 15 | 2 | no | — |
| 824 | #121 | — | 15 | 2 | no | — |
| 825 | #120 | — | 3 | 2 | no | — |
| 826 | #120 | — | 3 | 1 | no | — |
| 827 | #120 | — | 5 | 2 | no | — |
| 828 | #120 | — | 5 | 1 | no | — |
| 829 | #120 | — | 15 | 1 | no | — |
| 830 | #120 | — | 15 | 1 | no | — |
| 831 | #120 | — | 15 | 2 | no | — |
| 832 | #120 | — | 15 | 2 | no | — |
| 833 | C4×Q8 | — | 15 | 2 | no | — |
| 834 | C4×D4 | — | 15 | 2 | no | — |
| 835 | C4×D4 | — | 15 | 2 | no | — |
| 836 | C4×D4 | — | 15 | 2 | no | — |
| 837 | C4×D4 | — | 15 | 2 | no | — |
| 838 | C4×D4 | — | 15 | 2 | no | — |
| 839 | C4×D4 | — | 15 | 2 | no | — |
| 840 | C4×D4 | — | 15 | 2 | no | — |
| 841 | C4×D4 | — | 15 | 2 | no | — |
| 842 | C4×D4 | — | 15 | 2 | no | — |
| 843 | #117 | — | 15 | 1 | no | — |
| 844 | #117 | — | 15 | 1 | no | — |
| 845 | #117 | — | 15 | 2 | no | — |
| 846 | #117 | — | 15 | 2 | no | — |
| 847 | C2×C42 | — | 15 | 2 | no | — |
| 848 | C2×C42 | — | 15 | 1 | no | — |
| 849 | C2×C3×C5 | — | 4 | 1 | no | — |
| 850 | C2×C3×C5 | — | 4 | 1 | no | — |
| 851 | C2×C3×C5 | — | 4 | 2 | no | — |
| 852 | C2×C3×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 853 | C2×C3×C5 | #585 | 1 | 2 | yes | — |
| 854 | D15 | — | 4 | 1 | no | — |
| 855 | C3×D5 | — | 4 | 2 | no | — |
| 856 | C5×D3 | — | 4 | 2 | no | — |
| 857 | C23×C3 | — | 5 | 2 | no | — |
| 858 | C23×C3 | — | 20 | 1 | no | — |
| 859 | C23×C3 | — | 20 | 2 | no | — |
| 860 | C23×C3 | C23×D5 | 1 | 1 | yes | characteristic |
| 861 | C23×C3 | C23×D5 | 1 | 1 | yes | characteristic |
| 862 | C23×C3 | C23×D5 | 1 | 2 | yes | — |
| 863 | C22×D3 | — | 4 | 1 | no | — |
| 864 | C22×D3 | — | 4 | 2 | no | — |
| 865 | C22×D3 | — | 5 | 1 | no | — |
| 866 | C22×D3 | C23×D5 | 1 | 2 | yes | — |
| 867 | C3×D4 | — | 4 | 1 | no | — |
| 868 | C3×D4 | — | 4 | 1 | no | — |
| 869 | C3×D4 | — | 4 | 2 | no | — |
| 870 | C3×D4 | — | 4 | 2 | no | — |
| 871 | C3×D4 | — | 20 | 2 | no | — |
| 872 | C3×D4 | — | 20 | 2 | no | — |
| 873 | C3×D4 | — | 20 | 2 | no | — |
| 874 | C2×C3×C4 | — | 5 | 2 | no | — |
| 875 | C2×C3×C4 | — | 5 | 2 | no | — |
| 876 | C2×C3×C4 | — | 5 | 2 | no | — |
| 877 | C2×C3×C4 | — | 20 | 1 | no | — |
| 878 | C2×C3×C4 | — | 20 | 2 | no | — |
| 879 | C2×C3×C4 | C23×D5 | 1 | 2 | yes | — |
| 880 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 881 | #67 | — | 4 | 2 | no | — |
| 882 | #67 | — | 4 | 2 | no | — |
| 883 | #67 | — | 4 | 2 | no | — |
| 884 | #67 | — | 20 | 2 | no | — |
| 885 | #67 | — | 20 | 2 | no | — |
| 886 | #67 | — | 20 | 2 | no | — |
| 887 | #67 | — | 20 | 2 | no | — |
| 888 | #67 | — | 20 | 1 | no | — |
| 889 | #67 | — | 20 | 1 | no | — |
| 890 | C2×Dic3 | — | 4 | 1 | no | — |
| 891 | C2×Dic3 | — | 4 | 2 | no | — |
| 892 | C2×Dic3 | — | 5 | 1 | no | — |
| 893 | C2×Dic3 | — | 5 | 2 | no | — |
| 894 | C2×Dic3 | — | 5 | 2 | no | — |
| 895 | C2×Dic3 | — | 5 | 1 | no | — |
| 896 | C2×Dic3 | — | 5 | 1 | no | — |
| 897 | C2×Dic3 | — | 10 | 4 | no | — |
| 898 | C2×Dic3 | — | 10 | 2 | no | — |
| 899 | C2×Dic3 | — | 10 | 4 | no | — |
| 900 | C2×Dic3 | — | 10 | 2 | no | — |
| 901 | C2×Dic3 | — | 20 | 2 | no | — |
| 902 | C2×Dic3 | C23×D5 | 1 | 2 | yes | — |
| 903 | C2×Dic3 | C23×D5 | 1 | 2 | yes | — |
| 904 | C2×Dic3 | C23×D5 | 1 | 2 | yes | — |
| 905 | D12 | — | 20 | 2 | no | — |
| 906 | C4×D3 | — | 10 | 2 | no | — |
| 907 | C4×D3 | — | 10 | 4 | no | — |
| 908 | C4×D3 | — | 20 | 2 | no | — |
| 909 | C4×D3 | — | 20 | 2 | no | — |
| 910 | Dic6 | — | 20 | 2 | no | — |
| 911 | Dic6 | — | 20 | 2 | no | — |
| 912 | Dic6 | — | 20 | 1 | no | — |
| 913 | Dic6 | — | 20 | 1 | no | — |
| 914 | C22×C5 | — | 2 | 1 | no | — |
| 915 | C22×C5 | — | 2 | 2 | no | — |
| 916 | C22×C5 | — | 2 | 1 | no | — |
| 917 | C22×C5 | — | 2 | 2 | no | — |
| 918 | C22×C5 | — | 2 | 2 | no | — |
| 919 | C22×C5 | — | 2 | 2 | no | — |
| 920 | C22×C5 | — | 2 | 2 | no | — |
| 921 | C22×C5 | — | 6 | 2 | no | — |
| 922 | C22×C5 | — | 6 | 2 | no | — |
| 923 | C22×C5 | — | 6 | 2 | no | — |
| 924 | C22×C5 | — | 12 | 4 | no | — |
| 925 | C22×C5 | C24×D3 | 1 | 1 | yes | characteristic |
| 926 | C2×D5 | — | 2 | 2 | no | — |
| 927 | C2×D5 | — | 2 | 2 | no | — |
| 928 | C2×D5 | — | 2 | 2 | no | — |
| 929 | C2×D5 | — | 4 | 4 | no | — |
| 930 | C2×D5 | — | 6 | 1 | no | — |
| 931 | C2×D5 | — | 6 | 2 | no | — |
| 932 | C4×C5 | — | 2 | 1 | no | — |
| 933 | C4×C5 | — | 2 | 2 | no | — |
| 934 | C4×C5 | — | 6 | 2 | no | — |
| 935 | C4×C5 | — | 6 | 2 | no | — |
| 936 | C4×C5 | — | 6 | 2 | no | — |
| 937 | Dic5 | — | 2 | 2 | no | — |
| 938 | Dic5 | — | 2 | 2 | no | — |
| 939 | Dic5 | — | 2 | 2 | no | — |
| 940 | Dic5 | — | 3 | 2 | no | — |
| 941 | Dic5 | — | 6 | 2 | no | — |
| 942 | Dic5 | — | 6 | 1 | no | — |
| 943 | Dic5 | — | 6 | 1 | no | — |
| 944 | Dic5 | — | 6 | 2 | no | — |
| 945 | C24 | — | 3 | 1 | no | — |
| 946 | C24 | — | 5 | 1 | no | — |
| 947 | #41 | — | 60 | 2 | no | — |
| 948 | #41 | — | 60 | 2 | no | — |
| 949 | #41 | — | 60 | 4 | no | — |
| 950 | C2×Q8 | — | 15 | 2 | no | — |
| 951 | C2×Q8 | — | 15 | 2 | no | — |
| 952 | C2×Q8 | — | 15 | 1 | no | — |
| 953 | C2×Q8 | — | 15 | 1 | no | — |
| 954 | C2×D4 | — | 3 | 2 | no | — |
| 955 | C2×D4 | — | 3 | 2 | no | — |
| 956 | C2×D4 | — | 3 | 2 | no | — |
| 957 | C2×D4 | — | 5 | 2 | no | — |
| 958 | C2×D4 | — | 5 | 2 | no | — |
| 959 | C2×D4 | — | 5 | 2 | no | — |
| 960 | C2×D4 | — | 15 | 2 | no | — |
| 961 | C2×D4 | — | 15 | 2 | no | — |
| 962 | C2×D4 | — | 15 | 2 | no | — |
| 963 | C2×D4 | — | 15 | 2 | no | — |
| 964 | C2×D4 | — | 15 | 1 | no | — |
| 965 | C2×D4 | — | 15 | 1 | no | — |
| 966 | C2×D4 | — | 15 | 2 | no | — |
| 967 | C2×D4 | C2×D3×D5 | 1 | 2 | yes | — |
| 968 | C2×D4 | C2×D3×D5 | 1 | 2 | yes | — |
| 969 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 970 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 971 | C22×C4 | — | 3 | 2 | no | — |
| 972 | C22×C4 | — | 3 | 1 | no | — |
| 973 | C22×C4 | — | 5 | 2 | no | — |
| 974 | C22×C4 | — | 5 | 1 | no | — |
| 975 | C22×C4 | — | 15 | 2 | no | — |
| 976 | C22×C4 | — | 15 | 2 | no | — |
| 977 | C22×C4 | — | 15 | 2 | no | — |
| 978 | C22×C4 | — | 15 | 2 | no | — |
| 979 | C22×C4 | — | 15 | 2 | no | — |
| 980 | C22×C4 | — | 15 | 1 | no | — |
| 981 | C22×C4 | — | 15 | 1 | no | — |
| 982 | C22×C4 | — | 15 | 1 | no | — |
| 983 | C22×C4 | — | 15 | 2 | no | — |
| 984 | C22×C4 | — | 60 | 2 | no | — |
| 985 | C22×C4 | — | 60 | 2 | no | — |
| 986 | C4⋊C4 | — | 3 | 2 | no | — |
| 987 | C4⋊C4 | — | 3 | 2 | no | — |
| 988 | C4⋊C4 | — | 3 | 2 | no | — |
| 989 | C4⋊C4 | — | 5 | 2 | no | — |
| 990 | C4⋊C4 | — | 5 | 2 | no | — |
| 991 | C4⋊C4 | — | 5 | 2 | no | — |
| 992 | C4⋊C4 | — | 15 | 2 | no | — |
| 993 | C4⋊C4 | — | 15 | 2 | no | — |
| 994 | C4⋊C4 | — | 15 | 2 | no | — |
| 995 | C4⋊C4 | — | 15 | 2 | no | — |
| 996 | C4⋊C4 | — | 15 | 2 | no | — |
| 997 | C4⋊C4 | — | 15 | 2 | no | — |
| 998 | C4⋊C4 | — | 15 | 2 | no | — |
| 999 | C4⋊C4 | — | 15 | 2 | no | — |
| 1000 | C4⋊C4 | — | 15 | 2 | no | — |
| 1001 | C4⋊C4 | — | 15 | 2 | no | — |
| 1002 | C4⋊C4 | — | 15 | 2 | no | — |
| 1003 | C4⋊C4 | — | 15 | 2 | no | — |
| 1004 | C22⋊C4 | — | 3 | 1 | no | — |
| 1005 | C22⋊C4 | — | 3 | 1 | no | — |
| 1006 | C22⋊C4 | — | 3 | 2 | no | — |
| 1007 | C22⋊C4 | — | 3 | 2 | no | — |
| 1008 | C22⋊C4 | — | 3 | 2 | no | — |
| 1009 | C22⋊C4 | — | 3 | 2 | no | — |
| 1010 | C22⋊C4 | — | 3 | 2 | no | — |
| 1011 | C22⋊C4 | — | 5 | 1 | no | — |
| 1012 | C22⋊C4 | — | 5 | 1 | no | — |
| 1013 | C22⋊C4 | — | 5 | 2 | no | — |
| 1014 | C22⋊C4 | — | 5 | 2 | no | — |
| 1015 | C22⋊C4 | — | 5 | 2 | no | — |
| 1016 | C22⋊C4 | — | 5 | 2 | no | — |
| 1017 | C22⋊C4 | — | 5 | 2 | no | — |
| 1018 | C22⋊C4 | — | 15 | 2 | no | — |
| 1019 | C22⋊C4 | — | 15 | 2 | no | — |
| 1020 | C22⋊C4 | — | 15 | 2 | no | — |
| 1021 | C22⋊C4 | — | 15 | 2 | no | — |
| 1022 | C22⋊C4 | — | 15 | 2 | no | — |
| 1023 | C22⋊C4 | — | 15 | 2 | no | — |
| 1024 | C22⋊C4 | — | 15 | 2 | no | — |
| 1025 | C22⋊C4 | — | 15 | 2 | no | — |
| 1026 | C22⋊C4 | — | 15 | 2 | no | — |
| 1027 | C22⋊C4 | — | 15 | 2 | no | — |
| 1028 | C22⋊C4 | — | 15 | 2 | no | — |
| 1029 | C22⋊C4 | — | 15 | 2 | no | — |
| 1030 | C42 | — | 15 | 2 | no | — |
| 1031 | C42 | — | 15 | 2 | no | — |
| 1032 | C42 | — | 15 | 2 | no | — |
| 1033 | C42 | — | 15 | 2 | no | — |
| 1034 | C42 | — | 15 | 2 | no | — |
| 1035 | C42 | — | 15 | 1 | no | — |
| 1036 | C42 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 1037 | C3×C5 | #3529 | 1 | 1 | yes | characteristic, complemented, Hall |
| 1038 | C22×C3 | — | 2 | 1 | no | — |
| 1039 | C22×C3 | — | 2 | 2 | no | — |
| 1040 | C22×C3 | — | 2 | 1 | no | — |
| 1041 | C22×C3 | — | 2 | 2 | no | — |
| 1042 | C22×C3 | — | 2 | 2 | no | — |
| 1043 | C22×C3 | — | 2 | 2 | no | — |
| 1044 | C22×C3 | — | 2 | 2 | no | — |
| 1045 | C22×C3 | — | 10 | 2 | no | — |
| 1046 | C22×C3 | — | 10 | 2 | no | — |
| 1047 | C22×C3 | — | 10 | 2 | no | — |
| 1048 | C22×C3 | — | 20 | 4 | no | — |
| 1049 | C22×C3 | C24×D5 | 1 | 1 | yes | characteristic |
| 1050 | C2×D3 | — | 2 | 2 | no | — |
| 1051 | C2×D3 | — | 2 | 2 | no | — |
| 1052 | C2×D3 | — | 2 | 2 | no | — |
| 1053 | C2×D3 | — | 4 | 4 | no | — |
| 1054 | C2×D3 | — | 10 | 1 | no | — |
| 1055 | C2×D3 | — | 10 | 2 | no | — |
| 1056 | C3×C4 | — | 2 | 1 | no | — |
| 1057 | C3×C4 | — | 2 | 2 | no | — |
| 1058 | C3×C4 | — | 10 | 2 | no | — |
| 1059 | C3×C4 | — | 10 | 2 | no | — |
| 1060 | C3×C4 | — | 10 | 2 | no | — |
| 1061 | Dic3 | — | 2 | 2 | no | — |
| 1062 | Dic3 | — | 2 | 2 | no | — |
| 1063 | Dic3 | — | 2 | 2 | no | — |
| 1064 | Dic3 | — | 5 | 2 | no | — |
| 1065 | Dic3 | — | 10 | 2 | no | — |
| 1066 | Dic3 | — | 10 | 1 | no | — |
| 1067 | Dic3 | — | 10 | 1 | no | — |
| 1068 | Dic3 | — | 10 | 2 | no | — |
| 1069 | C2×C5 | — | 4 | 1 | no | — |
| 1070 | C2×C5 | — | 4 | 1 | no | — |
| 1071 | C2×C5 | — | 4 | 2 | no | — |
| 1072 | C2×C5 | — | 12 | 2 | no | — |
| 1073 | C2×C5 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1074 | C2×C5 | #5966 | 1 | 2 | yes | — |
| 1075 | D5 | — | 4 | 2 | no | — |
| 1076 | D5 | — | 12 | 1 | no | — |
| 1077 | C23 | — | 3 | 2 | no | — |
| 1078 | C23 | — | 5 | 2 | no | — |
| 1079 | C23 | — | 12 | 1 | no | — |
| 1080 | C23 | — | 12 | 2 | no | — |
| 1081 | C23 | — | 15 | 1 | no | — |
| 1082 | C23 | — | 20 | 1 | no | — |
| 1083 | C23 | — | 20 | 2 | no | — |
| 1084 | C23 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 1085 | C23 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 1086 | C23 | C22×D3×D5 | 1 | 2 | yes | — |
| 1087 | Q8 | — | 60 | 1 | no | — |
| 1088 | Q8 | — | 60 | 1 | no | — |
| 1089 | Q8 | — | 60 | 2 | no | — |
| 1090 | Q8 | — | 60 | 2 | no | — |
| 1091 | D4 | — | 4 | 1 | no | — |
| 1092 | D4 | — | 4 | 1 | no | — |
| 1093 | D4 | — | 4 | 2 | no | — |
| 1094 | D4 | — | 4 | 2 | no | — |
| 1095 | D4 | — | 12 | 2 | no | — |
| 1096 | D4 | — | 12 | 2 | no | — |
| 1097 | D4 | — | 12 | 2 | no | — |
| 1098 | D4 | — | 20 | 2 | no | — |
| 1099 | D4 | — | 20 | 2 | no | — |
| 1100 | D4 | — | 20 | 2 | no | — |
| 1101 | D4 | — | 60 | 2 | no | — |
| 1102 | D4 | — | 60 | 2 | no | — |
| 1103 | D4 | — | 60 | 1 | no | — |
| 1104 | D4 | — | 60 | 1 | no | — |
| 1105 | D4 | — | 60 | 2 | no | — |
| 1106 | D4 | — | 60 | 2 | no | — |
| 1107 | D4 | — | 60 | 2 | no | — |
| 1108 | C2×C4 | — | 3 | 2 | no | — |
| 1109 | C2×C4 | — | 3 | 2 | no | — |
| 1110 | C2×C4 | — | 3 | 2 | no | — |
| 1111 | C2×C4 | — | 5 | 2 | no | — |
| 1112 | C2×C4 | — | 5 | 2 | no | — |
| 1113 | C2×C4 | — | 5 | 2 | no | — |
| 1114 | C2×C4 | — | 12 | 1 | no | — |
| 1115 | C2×C4 | — | 12 | 2 | no | — |
| 1116 | C2×C4 | — | 15 | 1 | no | — |
| 1117 | C2×C4 | — | 15 | 2 | no | — |
| 1118 | C2×C4 | — | 15 | 2 | no | — |
| 1119 | C2×C4 | — | 15 | 1 | no | — |
| 1120 | C2×C4 | — | 15 | 1 | no | — |
| 1121 | C2×C4 | — | 20 | 1 | no | — |
| 1122 | C2×C4 | — | 20 | 2 | no | — |
| 1123 | C2×C4 | — | 30 | 2 | no | — |
| 1124 | C2×C4 | — | 30 | 4 | no | — |
| 1125 | C2×C4 | — | 30 | 4 | no | — |
| 1126 | C2×C4 | — | 30 | 2 | no | — |
| 1127 | C2×C4 | — | 30 | 2 | no | — |
| 1128 | C2×C4 | — | 30 | 4 | no | — |
| 1129 | C2×C4 | — | 60 | 2 | no | — |
| 1130 | C2×C4 | — | 60 | 2 | no | — |
| 1131 | C2×C4 | — | 60 | 2 | no | — |
| 1132 | C2×C4 | C22×D3×D5 | 1 | 2 | yes | — |
| 1133 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 1134 | C2×C3 | — | 4 | 1 | no | — |
| 1135 | C2×C3 | — | 4 | 1 | no | — |
| 1136 | C2×C3 | — | 4 | 2 | no | — |
| 1137 | C2×C3 | — | 20 | 2 | no | — |
| 1138 | C2×C3 | D5×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1139 | C2×C3 | #66285 | 1 | 2 | yes | — |
| 1140 | D3 | — | 4 | 2 | no | — |
| 1141 | D3 | — | 20 | 1 | no | — |
| 1142 | C5 | #87070 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1143 | C22 | — | 2 | 1 | no | — |
| 1144 | C22 | — | 2 | 1 | no | — |
| 1145 | C22 | — | 2 | 2 | no | — |
| 1146 | C22 | — | 2 | 2 | no | — |
| 1147 | C22 | — | 2 | 2 | no | — |
| 1148 | C22 | — | 2 | 2 | no | — |
| 1149 | C22 | — | 2 | 2 | no | — |
| 1150 | C22 | — | 6 | 2 | no | — |
| 1151 | C22 | — | 6 | 2 | no | — |
| 1152 | C22 | — | 6 | 2 | no | — |
| 1153 | C22 | — | 10 | 2 | no | — |
| 1154 | C22 | — | 10 | 2 | no | — |
| 1155 | C22 | — | 10 | 2 | no | — |
| 1156 | C22 | — | 12 | 4 | no | — |
| 1157 | C22 | — | 20 | 4 | no | — |
| 1158 | C22 | — | 30 | 1 | no | — |
| 1159 | C22 | — | 30 | 2 | no | — |
| 1160 | C22 | C23×D3×D5 | 1 | 1 | yes | characteristic |
| 1161 | C4 | — | 2 | 1 | no | — |
| 1162 | C4 | — | 2 | 2 | no | — |
| 1163 | C4 | — | 6 | 2 | no | — |
| 1164 | C4 | — | 6 | 2 | no | — |
| 1165 | C4 | — | 6 | 2 | no | — |
| 1166 | C4 | — | 10 | 2 | no | — |
| 1167 | C4 | — | 10 | 2 | no | — |
| 1168 | C4 | — | 10 | 2 | no | — |
| 1169 | C4 | — | 15 | 2 | no | — |
| 1170 | C4 | — | 30 | 1 | no | — |
| 1171 | C4 | — | 30 | 1 | no | — |
| 1172 | C4 | — | 30 | 2 | no | — |
| 1173 | C4 | — | 30 | 2 | no | — |
| 1174 | C3 | #10618971 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1175 | C2 | — | 4 | 1 | no | — |
| 1176 | C2 | — | 4 | 1 | no | — |
| 1177 | C2 | — | 4 | 2 | no | — |
| 1178 | C2 | — | 12 | 2 | no | — |
| 1179 | C2 | — | 20 | 2 | no | — |
| 1180 | C2 | — | 60 | 1 | no | — |
| 1181 | C2 | #11757030 | 1 | 1 | yes | characteristic |
| 1182 | C2 | #11757036 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C23×D3×D5 |
| commutator, socle, cosocle | C22×C3×C5 | C25 |
| Fitting | C3×C5×#127 | C22 |
| hypercenter | #127 | D3×D5 |
| hypocenter | C3×C5 | #3529 |
| LCS | G ▷ C22×C3×C5 ▷ C3×C5 | |
| UCS | C1 ◁ C22 ◁ #127 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11756475 | C2 | semidirect |
| 2. C5×#5720 | C2 | semidirect |
| 3. C3×#66054 | C2 | semidirect |
| 4. #11755015 | C2 | semidirect |
| 5. #11755001 | C2 | semidirect |
| 6. #11754996 | C2 | semidirect |
| 7. #11754989 | C2 | semidirect |
| 8. #11754985 | C2 | semidirect |
| 9. #11754983 | C2 | semidirect |
| 10. #11754907 | C2 | semidirect |
| 11. #11754866 | C2 | semidirect |
| 12. #11754824 | C2 | semidirect |
| 13. #11754820 | C2 | semidirect |
| 14. #11754815 | C2 | semidirect |
| 15. #11754768 | C2 | semidirect |
| 16. #11754759 | C2 | semidirect |
| 17. #11754735 | C2 | semidirect |
| 18. #11752702 | C2 | semidirect |
| 19. #11752659 | C2 | semidirect |
| 22. C2×#6819 | C22 | semidirect |
| 23. C22×D3×Dic5 | C22 | semidirect |
| 25. C22×D5×Dic3 | C22 | semidirect |
| 27. #91827 | C22 | semidirect |
| 28. #91827 | C22 | semidirect |
| 30. #91825 | C22 | semidirect |
| 31. D4×Dic15 | C22 | semidirect |
| 32. D4×Dic15 | C22 | semidirect |
| 33. C42×D15 | C22 | semidirect |
| 34. #91758 | C22 | semidirect |
| 37. C5×#939 | C22 | semidirect |
| 39. C5×#937 | C22 | semidirect |
| 41. C5×#935 | C22 | semidirect |
| 42. C5×#876 | C22 | semidirect |
| 45. C3×#4085 | C22 | semidirect |
| 47. C3×#4083 | C22 | semidirect |
| 49. C3×#4081 | C22 | semidirect |
| 50. C3×#4022 | C22 | semidirect |
| 51. #91575 | C22 | semidirect |
| 52. #91575 | C22 | semidirect |
| 53. #91574 | C22 | semidirect |
| 54. #91574 | C22 | semidirect |
| 55. #91570 | C22 | semidirect |
| 56. #91569 | C22 | semidirect |
| 59. #91566 | C22 | semidirect |
| 61. #91564 | C22 | semidirect |
| 64. #67⋊Dic5 | C22 | semidirect |
| 66. #91559 | C22 | semidirect |
| 68. #91555 | C22 | semidirect |
| 71. #91548 | C22 | semidirect |
| 72. #91546 | C22 | semidirect |
| 73. #91542 | C22 | semidirect |
| 74. #91539 | C22 | semidirect |
| 75. #91536 | C22 | semidirect |
| 77. #91532 | C22 | semidirect |
| 78. #91532 | C22 | semidirect |
| 79. #91531 | C22 | semidirect |
| 80. #91530 | C22 | semidirect |
| 81. C2×Dic3×Dic5 | C22 | semidirect |
| 82. #91526 | C22 | semidirect |
| 89. #91432 | C22 | semidirect |
| 90. #91431 | C22 | semidirect |
| 91. #91422 | C22 | semidirect |
| 92. #91417 | C22 | semidirect |
| 94. #91406 | C22 | semidirect |
| 95. #91400 | C22 | semidirect |
| 96. #91396 | C22 | semidirect |
| 97. #91394 | C22 | semidirect |
| 98. #91382 | C22 | semidirect |
| 99. #91377 | C22 | semidirect |
| 100. #91362 | C22 | semidirect |
| 101. #91355 | C22 | semidirect |
| 102. #91354 | C22 | semidirect |
| 103. #91343 | C22 | semidirect |
| 104. #91342 | C22 | semidirect |
| 105. #91334 | C22 | semidirect |
| 106. #91328 | C22 | semidirect |
| 107. #91325 | C22 | semidirect |
| 110. #66054 | D3 | semidirect |
| 221. #5720 | D5 | semidirect |
| 261. #4085 | C2×D3 | semidirect |
| 267. #4083 | C2×D3 | semidirect |
| 274. #4081 | C2×D3 | semidirect |
| 323. #4022 | C2×D3 | semidirect |
| 406. #939 | C2×D5 | semidirect |
| 412. #937 | C2×D5 | semidirect |
| 419. #935 | C2×D5 | semidirect |
| 468. #876 | C2×D5 | semidirect |
| 1037. C3×C5 | #3529 | semidirect |
| 1142. C5 | #87070 | semidirect |
| 1174. C3 | #10618971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.