Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1532 conjugacy classes of subgroups.
The subgroup lattice has 972 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11757035 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#5656 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11754339 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11751154 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#65342 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11749180 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749175 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749173 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11748939 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11747134 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11747130 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10614667 | — | 3 | 1 | no | maximal, Hall |
| 13 | #92095 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C5×#237 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×C4×C5×D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C3×#4144 | C22 | 1 | 1 | yes | characteristic |
| 17 | #92049 | — | 2 | 1 | no | — |
| 18 | #92049 | C22 | 1 | 2 | yes | — |
| 19 | C2×#6779 | — | 2 | 1 | no | — |
| 20 | C2×#6779 | C22 | 1 | 2 | yes | — |
| 21 | #92026 | — | 2 | 2 | no | — |
| 22 | #92024 | — | 2 | 2 | no | — |
| 23 | D5×#237 | — | 2 | 2 | no | — |
| 24 | #92020 | — | 2 | 2 | no | — |
| 25 | D3×#709 | — | 2 | 1 | no | — |
| 26 | #92000 | — | 2 | 1 | no | — |
| 27 | C3×C5×#123 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #91818 | C22 | 1 | 2 | yes | complemented |
| 29 | C5×#937 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#929 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C5×#896 | — | 2 | 1 | no | — |
| 32 | C5×#893 | — | 2 | 1 | no | — |
| 33 | C5×#884 | — | 2 | 1 | no | — |
| 34 | C5×#882 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C5×#67⋊C4 | — | 2 | 1 | no | — |
| 36 | C5×#877 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C3×#4075 | C22 | 1 | 2 | yes | complemented |
| 38 | #91570 | C22 | 1 | 2 | yes | complemented |
| 39 | #91568 | C22 | 1 | 2 | yes | complemented |
| 40 | #91529 | C22 | 1 | 2 | yes | complemented |
| 41 | #91454 | — | 2 | 2 | no | — |
| 42 | #91446 | — | 2 | 2 | no | — |
| 43 | #91441 | — | 2 | 2 | no | — |
| 44 | #91352 | — | 2 | 2 | no | — |
| 45 | #91118 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #91090 | C22 | 1 | 2 | yes | complemented |
| 47 | C3×#3966 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×#3938 | C22 | 1 | 2 | yes | complemented |
| 49 | #90997 | C22 | 1 | 2 | yes | complemented |
| 50 | #90996 | C22 | 1 | 2 | yes | complemented |
| 51 | #90995 | C22 | 1 | 2 | yes | complemented |
| 52 | #80308 | — | 5 | 1 | no | maximal, Hall |
| 53 | #66283 | — | 3 | 1 | no | — |
| 54 | C5×#525 | — | 3 | 1 | no | — |
| 55 | #66125 | — | 3 | 2 | no | — |
| 56 | #65529 | — | 3 | 1 | no | — |
| 57 | #65342 | — | 3 | 2 | no | — |
| 58 | #65342 | — | 3 | 1 | no | — |
| 59 | #65342 | D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | #65321 | — | 3 | 1 | no | — |
| 61 | #65321 | — | 3 | 2 | no | — |
| 62 | #65321 | — | 3 | 1 | no | — |
| 63 | #65295 | — | 3 | 2 | no | — |
| 64 | C23×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 66 | C22×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×#1220 | — | 2 | 1 | no | — |
| 68 | C2×#1220 | C23 | 1 | 2 | yes | — |
| 69 | #6819 | — | 2 | 2 | no | — |
| 70 | D4×D15 | — | 2 | 2 | no | — |
| 71 | #6817 | — | 2 | 1 | no | — |
| 72 | C2×C5×#67 | — | 2 | 1 | no | — |
| 73 | C2×C5×#67 | D4 | 1 | 1 | yes | characteristic, complemented |
| 74 | C2×C5×#67 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×C5×Dic3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 76 | C22×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 77 | C5×#237 | — | 2 | 2 | no | — |
| 78 | C5×#237 | — | 2 | 2 | no | — |
| 79 | C2×C5×D12 | — | 2 | 1 | no | — |
| 80 | C2×C4×C5×D3 | — | 2 | 1 | no | — |
| 81 | C2×C4×C5×D3 | — | 2 | 1 | no | — |
| 82 | C2×C4×C5×D3 | — | 2 | 2 | no | — |
| 83 | C2×C4×C5×D3 | — | 2 | 2 | no | — |
| 84 | C2×C4×C5×D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 85 | C2×C5×Dic6 | D4 | 1 | 1 | yes | characteristic, complemented |
| 86 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 87 | C2×C3×C22⋊D5 | C23 | 1 | 2 | yes | — |
| 88 | C3×#711 | — | 2 | 2 | no | — |
| 89 | C3×D4×D5 | — | 2 | 2 | no | — |
| 90 | C3×#709 | — | 2 | 1 | no | — |
| 91 | #6790 | — | 2 | 2 | no | — |
| 92 | #6790 | — | 2 | 2 | no | — |
| 93 | D3×C22⋊D5 | — | 2 | 2 | no | — |
| 94 | D5×#67 | — | 2 | 2 | no | — |
| 95 | D5×#67 | — | 2 | 2 | no | — |
| 96 | C2×#1204 | — | 2 | 1 | no | — |
| 97 | C2×#1204 | D4 | 1 | 2 | yes | complemented |
| 98 | C2×#1203 | — | 2 | 2 | no | — |
| 99 | C2×#1202 | — | 2 | 1 | no | — |
| 100 | C2×#1202 | D4 | 1 | 2 | yes | complemented |
| 101 | C2×#1201 | — | 2 | 2 | no | — |
| 102 | C2×#1200 | — | 2 | 1 | no | — |
| 103 | C2×#1200 | D4 | 1 | 2 | yes | complemented |
| 104 | #6782 | — | 2 | 2 | no | — |
| 105 | #6782 | — | 2 | 2 | no | — |
| 106 | #6780 | — | 2 | 2 | no | — |
| 107 | #6780 | — | 2 | 2 | no | — |
| 108 | #6779 | — | 2 | 2 | no | — |
| 109 | #6779 | — | 2 | 2 | no | — |
| 110 | #6779 | — | 2 | 2 | no | — |
| 111 | #6779 | — | 2 | 2 | no | — |
| 112 | #6779 | — | 2 | 2 | no | — |
| 113 | #6779 | — | 2 | 2 | no | — |
| 114 | #6779 | — | 2 | 2 | no | — |
| 115 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 116 | C2×D5×Dic3 | D4 | 1 | 2 | yes | complemented |
| 117 | D3×D20 | — | 2 | 1 | no | — |
| 118 | C4×D3×D5 | — | 2 | 2 | no | — |
| 119 | #6773 | — | 2 | 2 | no | — |
| 120 | #6771 | — | 2 | 2 | no | — |
| 121 | D15⋊Q8 | — | 2 | 2 | no | — |
| 122 | #6769 | — | 2 | 1 | no | — |
| 123 | D3×Dic10 | — | 2 | 1 | no | — |
| 124 | #6766 | — | 2 | 2 | no | — |
| 125 | #6765 | — | 2 | 1 | no | — |
| 126 | D5×Dic6 | — | 2 | 2 | no | — |
| 127 | C3×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 128 | C3×C5×C22⋊C4 | — | 2 | 1 | no | — |
| 129 | C3×C5×C22⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 130 | #6719 | C23 | 1 | 2 | yes | — |
| 131 | #6714 | — | 2 | 2 | no | — |
| 132 | #6712 | — | 2 | 2 | no | — |
| 133 | C5×#217 | C23 | 1 | 1 | yes | characteristic |
| 134 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 135 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 136 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 137 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 138 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 139 | C4×C5×Dic3 | — | 2 | 1 | no | — |
| 140 | C3×C22⋊Dic5 | C23 | 1 | 2 | yes | — |
| 141 | C3×#685 | — | 2 | 2 | no | — |
| 142 | C3×#683 | — | 2 | 2 | no | — |
| 143 | Dic3⋊Dic5 | — | 2 | 2 | no | — |
| 144 | (C2×D3)⋊Dic5 | — | 2 | 2 | no | — |
| 145 | (C2×D3)⋊Dic5 | — | 2 | 2 | no | — |
| 146 | Dic3×Dic5 | — | 2 | 2 | no | — |
| 147 | #5966 | — | 5 | 1 | no | — |
| 148 | #5656 | — | 5 | 2 | no | — |
| 149 | #5656 | D5 | 1 | 1 | yes | characteristic, complemented |
| 150 | C3×#458 | — | 5 | 1 | no | — |
| 151 | #5244 | — | 5 | 1 | no | — |
| 152 | #5053 | — | 5 | 1 | no | — |
| 153 | #5053 | — | 5 | 2 | no | — |
| 154 | #4741 | — | 5 | 1 | no | — |
| 155 | #4741 | — | 5 | 2 | no | — |
| 156 | #4740 | — | 5 | 1 | no | — |
| 157 | #4740 | — | 5 | 2 | no | — |
| 158 | C2×C5×#41 | — | 3 | 1 | no | — |
| 159 | C23×C4×C5 | — | 3 | 1 | no | — |
| 160 | #4150 | — | 6 | 2 | no | — |
| 161 | #4149 | — | 6 | 2 | no | — |
| 162 | D5×#41 | — | 6 | 2 | no | — |
| 163 | D5×#41 | — | 6 | 2 | no | — |
| 164 | #4147 | — | 6 | 1 | no | — |
| 165 | #4144 | — | 3 | 1 | no | — |
| 166 | #4144 | — | 3 | 2 | no | — |
| 167 | #4144 | — | 6 | 1 | no | — |
| 168 | #4144 | C2×D3 | 1 | 1 | yes | characteristic |
| 169 | C2×#709 | — | 3 | 2 | no | — |
| 170 | C2×#709 | — | 6 | 1 | no | — |
| 171 | C2×#709 | — | 6 | 1 | no | — |
| 172 | C5×#123 | — | 3 | 1 | no | — |
| 173 | C5×#123 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 174 | C5×C22⋊Q8 | — | 6 | 1 | no | — |
| 175 | C5×#121 | — | 6 | 1 | no | — |
| 176 | C5×#120 | — | 3 | 1 | no | — |
| 177 | C5×#120 | — | 3 | 1 | no | — |
| 178 | C4×C5×D4 | — | 6 | 1 | no | — |
| 179 | C4×C5×D4 | — | 6 | 1 | no | — |
| 180 | C5×#117 | — | 3 | 1 | no | — |
| 181 | #4099 | — | 3 | 2 | no | — |
| 182 | #4099 | — | 3 | 2 | no | — |
| 183 | #4076 | — | 6 | 2 | no | — |
| 184 | #4075 | — | 3 | 2 | no | — |
| 185 | #4075 | C2×D3 | 1 | 2 | yes | complemented |
| 186 | C4×C22⋊D5 | — | 6 | 2 | no | — |
| 187 | C4×C22⋊D5 | — | 6 | 2 | no | — |
| 188 | #4072 | — | 3 | 2 | no | — |
| 189 | #4070 | — | 6 | 2 | no | — |
| 190 | #3966 | — | 3 | 1 | no | — |
| 191 | #3966 | — | 3 | 2 | no | — |
| 192 | #3966 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 193 | #3938 | — | 3 | 2 | no | — |
| 194 | #3938 | — | 3 | 2 | no | — |
| 195 | #3938 | — | 3 | 2 | no | — |
| 196 | #3938 | C2×D3 | 1 | 2 | yes | complemented |
| 197 | #3025 | — | 15 | 1 | no | Sylow |
| 198 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C23×C3×C5 | C24 | 1 | 1 | yes | characteristic |
| 200 | C22×D15 | — | 2 | 1 | no | — |
| 201 | C22×D15 | C2×D4 | 1 | 2 | yes | — |
| 202 | C22×C5×D3 | — | 2 | 2 | no | — |
| 203 | C22×C5×D3 | — | 2 | 1 | no | — |
| 204 | C22×C5×D3 | — | 4 | 2 | no | — |
| 205 | C22×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C22×C3×D5 | — | 2 | 1 | no | — |
| 207 | C22×C3×D5 | C2×D4 | 1 | 2 | yes | — |
| 208 | C2×D3×D5 | — | 2 | 2 | no | — |
| 209 | C3×C5×D4 | — | 2 | 2 | no | — |
| 210 | C2×C3×C4×C5 | — | 2 | 2 | no | — |
| 211 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 212 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 213 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | #1220 | — | 2 | 2 | no | — |
| 215 | #1220 | — | 2 | 2 | no | — |
| 216 | #1220 | — | 2 | 2 | no | — |
| 217 | C2×Dic15 | — | 2 | 1 | no | — |
| 218 | C2×Dic15 | — | 2 | 2 | no | — |
| 219 | C2×Dic15 | C2×D4 | 1 | 2 | yes | — |
| 220 | D60 | — | 2 | 1 | no | — |
| 221 | C4×D15 | — | 2 | 2 | no | — |
| 222 | Dic30 | — | 2 | 1 | no | — |
| 223 | C5×#67 | — | 2 | 2 | no | — |
| 224 | C5×#67 | — | 2 | 2 | no | — |
| 225 | C5×#67 | — | 4 | 2 | no | — |
| 226 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 227 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 228 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 229 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×C5×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 231 | C2×C5×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 232 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C5×D12 | — | 4 | 2 | no | — |
| 235 | C4×C5×D3 | — | 2 | 1 | no | — |
| 236 | C4×C5×D3 | — | 2 | 1 | no | — |
| 237 | C4×C5×D3 | — | 4 | 1 | no | — |
| 238 | C4×C5×D3 | — | 4 | 2 | no | — |
| 239 | C4×C5×D3 | — | 4 | 1 | no | — |
| 240 | C5×Dic6 | — | 2 | 2 | no | — |
| 241 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 242 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 243 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 244 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 245 | C2×C3×Dic5 | — | 2 | 2 | no | — |
| 246 | C2×C3×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 247 | C3×D20 | — | 2 | 1 | no | — |
| 248 | C3×C4×D5 | — | 2 | 2 | no | — |
| 249 | C3×Dic10 | — | 2 | 1 | no | — |
| 250 | #1204 | — | 2 | 2 | no | — |
| 251 | #1204 | — | 2 | 2 | no | — |
| 252 | #1204 | — | 2 | 2 | no | — |
| 253 | #1203 | — | 2 | 2 | no | — |
| 254 | #1203 | — | 4 | 4 | no | — |
| 255 | #1202 | — | 2 | 2 | no | — |
| 256 | #1202 | — | 2 | 2 | no | — |
| 257 | #1202 | — | 2 | 2 | no | — |
| 258 | #1201 | — | 2 | 2 | no | — |
| 259 | #1201 | — | 4 | 4 | no | — |
| 260 | #1200 | — | 2 | 2 | no | — |
| 261 | #1200 | — | 2 | 2 | no | — |
| 262 | #1200 | — | 2 | 2 | no | — |
| 263 | D3×Dic5 | — | 2 | 2 | no | — |
| 264 | D5×Dic3 | — | 2 | 2 | no | — |
| 265 | D5×Dic3 | — | 2 | 2 | no | — |
| 266 | D5×Dic3 | — | 2 | 2 | no | — |
| 267 | C3×H(5,𝔽2) | — | 5 | 1 | no | — |
| 268 | #1010 | — | 10 | 2 | no | — |
| 269 | #1010 | — | 10 | 1 | no | — |
| 270 | D3×#41 | — | 10 | 2 | no | — |
| 271 | D3×#41 | — | 10 | 1 | no | — |
| 272 | #1004 | — | 5 | 1 | no | — |
| 273 | #1004 | — | 5 | 2 | no | — |
| 274 | #1004 | — | 10 | 2 | no | — |
| 275 | #1004 | — | 10 | 1 | no | — |
| 276 | C2×#237 | — | 5 | 2 | no | — |
| 277 | C2×#237 | — | 10 | 2 | no | — |
| 278 | C2×#237 | — | 10 | 1 | no | — |
| 279 | C2×#237 | C2×D5 | 1 | 1 | yes | characteristic |
| 280 | C22×C4×D3 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 281 | C3×#123 | — | 5 | 2 | no | — |
| 282 | C3×#123 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 283 | #937 | — | 5 | 2 | no | — |
| 284 | #937 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 285 | #929 | — | 5 | 2 | no | — |
| 286 | #929 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 287 | #896 | — | 2 | 1 | no | — |
| 288 | #896 | — | 10 | 2 | no | — |
| 289 | #893 | — | 2 | 1 | no | — |
| 290 | #893 | — | 10 | 2 | no | — |
| 291 | #884 | — | 2 | 1 | no | — |
| 292 | #884 | — | 10 | 2 | no | — |
| 293 | #882 | — | 5 | 2 | no | — |
| 294 | #882 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 295 | #67⋊C4 | — | 2 | 1 | no | — |
| 296 | #67⋊C4 | — | 10 | 2 | no | — |
| 297 | #877 | — | 5 | 2 | no | — |
| 298 | #877 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 299 | C3×#99 | — | 5 | 1 | no | — |
| 300 | C3×#99 | — | 5 | 2 | no | — |
| 301 | #834 | — | 5 | 1 | no | — |
| 302 | #834 | — | 5 | 2 | no | — |
| 303 | #806 | — | 5 | 2 | no | — |
| 304 | #806 | — | 5 | 2 | no | — |
| 305 | #806 | — | 5 | 2 | no | — |
| 306 | C24×C5 | — | 3 | 1 | no | — |
| 307 | C5×#41 | — | 6 | 2 | no | — |
| 308 | C5×#41 | — | 6 | 2 | no | — |
| 309 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 310 | C2×C5×D4 | — | 3 | 1 | no | — |
| 311 | C2×C5×D4 | — | 3 | 1 | no | — |
| 312 | C2×C5×D4 | — | 6 | 1 | no | — |
| 313 | C2×C5×D4 | — | 6 | 1 | no | — |
| 314 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 315 | C22×C4×C5 | — | 3 | 1 | no | — |
| 316 | C22×C4×C5 | — | 3 | 1 | no | — |
| 317 | C22×C4×C5 | — | 3 | 1 | no | — |
| 318 | C22×C4×C5 | — | 6 | 1 | no | — |
| 319 | C22×C4×C5 | — | 6 | 1 | no | — |
| 320 | C22×C4×C5 | — | 6 | 2 | no | — |
| 321 | C22×C4×C5 | — | 6 | 2 | no | — |
| 322 | C22×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 323 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 324 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 325 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 326 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 327 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 328 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 329 | C2×C22⋊D5 | C22×D3 | 1 | 2 | yes | — |
| 330 | #713 | — | 6 | 2 | no | — |
| 331 | #713 | — | 6 | 2 | no | — |
| 332 | Q8×D5 | — | 6 | 2 | no | — |
| 333 | Q8×D5 | — | 6 | 2 | no | — |
| 334 | #711 | — | 2 | 2 | no | — |
| 335 | #711 | — | 6 | 2 | no | — |
| 336 | #711 | — | 6 | 2 | no | — |
| 337 | #711 | — | 6 | 2 | no | — |
| 338 | #711 | — | 6 | 2 | no | — |
| 339 | #711 | — | 6 | 2 | no | — |
| 340 | D4×D5 | — | 2 | 2 | no | — |
| 341 | D4×D5 | — | 6 | 2 | no | — |
| 342 | D4×D5 | — | 6 | 2 | no | — |
| 343 | D4×D5 | — | 6 | 2 | no | — |
| 344 | D4×D5 | — | 6 | 2 | no | — |
| 345 | D4×D5 | — | 6 | 2 | no | — |
| 346 | #709 | — | 2 | 1 | no | — |
| 347 | #709 | — | 6 | 1 | no | — |
| 348 | #709 | — | 6 | 2 | no | — |
| 349 | #709 | — | 6 | 1 | no | — |
| 350 | #709 | — | 6 | 2 | no | — |
| 351 | #709 | — | 6 | 2 | no | — |
| 352 | #709 | — | 6 | 2 | no | — |
| 353 | #709 | — | 6 | 2 | no | — |
| 354 | #709 | — | 6 | 2 | no | — |
| 355 | #709 | — | 6 | 2 | no | — |
| 356 | #709 | — | 6 | 2 | no | — |
| 357 | #709 | — | 6 | 1 | no | — |
| 358 | C2×D20 | — | 3 | 2 | no | — |
| 359 | C2×D20 | — | 6 | 1 | no | — |
| 360 | C2×D20 | — | 6 | 1 | no | — |
| 361 | C2×C4×D5 | — | 3 | 2 | no | — |
| 362 | C2×C4×D5 | — | 3 | 2 | no | — |
| 363 | C2×C4×D5 | — | 6 | 2 | no | — |
| 364 | C2×C4×D5 | — | 6 | 1 | no | — |
| 365 | C2×C4×D5 | — | 6 | 1 | no | — |
| 366 | C2×Dic10 | — | 3 | 2 | no | — |
| 367 | C2×Dic10 | — | 6 | 1 | no | — |
| 368 | C2×Dic10 | — | 6 | 1 | no | — |
| 369 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 370 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 371 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 372 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 373 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 374 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 375 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 376 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 377 | C5×C22⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 378 | C42×C5 | — | 6 | 1 | no | — |
| 379 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 380 | C22⋊Dic5 | — | 6 | 2 | no | — |
| 381 | C22⋊Dic5 | — | 6 | 2 | no | — |
| 382 | C22⋊Dic5 | C22×D3 | 1 | 2 | yes | — |
| 383 | #685 | — | 2 | 2 | no | — |
| 384 | #685 | — | 6 | 2 | no | — |
| 385 | C4⋊Dic5 | — | 6 | 2 | no | — |
| 386 | #683 | — | 2 | 2 | no | — |
| 387 | #683 | — | 6 | 2 | no | — |
| 388 | C4×Dic5 | — | 6 | 2 | no | — |
| 389 | #585 | — | 15 | 1 | no | — |
| 390 | #525 | — | 3 | 1 | no | — |
| 391 | #525 | — | 15 | 2 | no | — |
| 392 | #458 | — | 5 | 1 | no | — |
| 393 | #458 | — | 15 | 2 | no | — |
| 394 | #458 | — | 15 | 1 | no | — |
| 395 | B(4,𝔽2) | — | 15 | 1 | no | — |
| 396 | B(4,𝔽2) | — | 15 | 2 | no | — |
| 397 | B(4,𝔽2) | — | 15 | 1 | no | — |
| 398 | #410 | — | 15 | 2 | no | — |
| 399 | #410 | — | 15 | 1 | no | — |
| 400 | C22×C3×C5 | — | 2 | 1 | no | — |
| 401 | C22×C3×C5 | — | 4 | 1 | no | — |
| 402 | C22×C3×C5 | — | 4 | 1 | no | — |
| 403 | C22×C3×C5 | C22×D4 | 1 | 2 | yes | — |
| 404 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 405 | C2×D15 | — | 2 | 2 | no | — |
| 406 | C2×D15 | — | 4 | 2 | no | — |
| 407 | C2×D15 | — | 8 | 1 | no | — |
| 408 | C2×C5×D3 | — | 2 | 4 | no | — |
| 409 | C2×C5×D3 | — | 2 | 2 | no | — |
| 410 | C2×C5×D3 | — | 2 | 1 | no | — |
| 411 | C2×C5×D3 | — | 4 | 1 | no | — |
| 412 | C2×C5×D3 | — | 4 | 2 | no | — |
| 413 | C2×C5×D3 | — | 4 | 1 | no | — |
| 414 | C2×C5×D3 | — | 4 | 1 | no | — |
| 415 | C2×C3×D5 | — | 2 | 2 | no | — |
| 416 | C2×C3×D5 | — | 4 | 2 | no | — |
| 417 | C2×C3×D5 | — | 8 | 1 | no | — |
| 418 | D3×D5 | — | 8 | 2 | no | — |
| 419 | C3×C4×C5 | — | 2 | 1 | no | — |
| 420 | C3×C4×C5 | — | 4 | 1 | no | — |
| 421 | C3×C4×C5 | — | 4 | 1 | no | — |
| 422 | Dic15 | — | 2 | 2 | no | — |
| 423 | Dic15 | — | 4 | 2 | no | — |
| 424 | C3×Dic5 | — | 2 | 2 | no | — |
| 425 | C3×Dic5 | — | 4 | 2 | no | — |
| 426 | C5×Dic3 | — | 2 | 1 | no | — |
| 427 | C5×Dic3 | — | 4 | 1 | no | — |
| 428 | C5×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 429 | C5×Dic3 | #120 | 1 | 2 | yes | — |
| 430 | C5×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 431 | C23×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 432 | C3×#41 | — | 10 | 2 | no | — |
| 433 | C3×#41 | — | 10 | 1 | no | — |
| 434 | C2×C3×D4 | — | 5 | 2 | no | — |
| 435 | C2×C3×D4 | — | 10 | 2 | no | — |
| 436 | C2×C3×D4 | — | 10 | 1 | no | — |
| 437 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 438 | C22×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 439 | C2×#67 | — | 2 | 1 | no | — |
| 440 | C2×#67 | — | 5 | 2 | no | — |
| 441 | C2×#67 | — | 5 | 2 | no | — |
| 442 | C2×#67 | — | 10 | 1 | no | — |
| 443 | C2×#67 | — | 10 | 2 | no | — |
| 444 | C2×#67 | — | 10 | 2 | no | — |
| 445 | C2×#67 | — | 10 | 1 | no | — |
| 446 | C2×#67 | — | 10 | 2 | no | — |
| 447 | C2×#67 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 448 | C2×#67 | C22×D5 | 1 | 1 | yes | characteristic |
| 449 | C22×Dic3 | — | 5 | 2 | no | — |
| 450 | C22×Dic3 | — | 10 | 1 | no | — |
| 451 | C22×Dic3 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 452 | C22×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 453 | #239 | — | 10 | 1 | no | — |
| 454 | D3×Q8 | — | 10 | 2 | no | — |
| 455 | D3×Q8 | — | 10 | 1 | no | — |
| 456 | #237 | — | 2 | 2 | no | — |
| 457 | #237 | — | 2 | 2 | no | — |
| 458 | #237 | — | 10 | 2 | no | — |
| 459 | #237 | — | 10 | 1 | no | — |
| 460 | #237 | — | 10 | 2 | no | — |
| 461 | #237 | — | 10 | 2 | no | — |
| 462 | #237 | — | 10 | 2 | no | — |
| 463 | #237 | — | 10 | 2 | no | — |
| 464 | #237 | — | 10 | 2 | no | — |
| 465 | #237 | — | 10 | 2 | no | — |
| 466 | #237 | — | 10 | 2 | no | — |
| 467 | #237 | — | 10 | 2 | no | — |
| 468 | #237 | — | 10 | 2 | no | — |
| 469 | #237 | — | 10 | 2 | no | — |
| 470 | D3×D4 | — | 10 | 1 | no | — |
| 471 | D3×D4 | — | 10 | 2 | no | — |
| 472 | D3×D4 | — | 10 | 2 | no | — |
| 473 | D3×D4 | — | 10 | 2 | no | — |
| 474 | D3×D4 | — | 10 | 2 | no | — |
| 475 | #235 | — | 10 | 2 | no | — |
| 476 | #235 | — | 10 | 2 | no | — |
| 477 | #235 | — | 10 | 2 | no | — |
| 478 | #235 | — | 10 | 2 | no | — |
| 479 | #235 | — | 10 | 1 | no | — |
| 480 | C2×D12 | — | 2 | 1 | no | — |
| 481 | C2×D12 | — | 10 | 2 | no | — |
| 482 | C2×C4×D3 | — | 2 | 2 | no | — |
| 483 | C2×C4×D3 | — | 2 | 2 | no | — |
| 484 | C2×C4×D3 | — | 2 | 1 | no | — |
| 485 | C2×C4×D3 | — | 2 | 1 | no | — |
| 486 | C2×C4×D3 | — | 5 | 2 | no | — |
| 487 | C2×C4×D3 | — | 10 | 2 | no | — |
| 488 | C2×C4×D3 | — | 10 | 1 | no | — |
| 489 | C2×C4×D3 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 490 | C2×Dic6 | — | 5 | 2 | no | — |
| 491 | C2×Dic6 | — | 10 | 2 | no | — |
| 492 | C2×Dic6 | — | 10 | 1 | no | — |
| 493 | C2×Dic6 | C22⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 494 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 495 | C3×C4⋊C4 | — | 10 | 2 | no | — |
| 496 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 497 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 498 | C3×C22⋊C4 | — | 10 | 2 | no | — |
| 499 | C3×C22⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 500 | #217 | — | 5 | 2 | no | — |
| 501 | #217 | C22×D5 | 1 | 1 | yes | characteristic |
| 502 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 503 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 504 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 505 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 506 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 507 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 508 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 509 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 510 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 511 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 512 | C4×Dic3 | — | 2 | 1 | no | — |
| 513 | C4×Dic3 | — | 10 | 2 | no | — |
| 514 | C23×C5 | — | 3 | 1 | no | — |
| 515 | C23×C5 | — | 6 | 2 | no | — |
| 516 | C23×C5 | — | 6 | 1 | no | — |
| 517 | C23×C5 | — | 12 | 2 | no | — |
| 518 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 519 | C23×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 520 | C22×D5 | — | 2 | 1 | no | — |
| 521 | C22×D5 | — | 3 | 2 | no | — |
| 522 | C22×D5 | — | 6 | 2 | no | — |
| 523 | C22×D5 | — | 6 | 1 | no | — |
| 524 | C22×D5 | D3×D4 | 1 | 2 | yes | — |
| 525 | C5×Q8 | — | 6 | 2 | no | — |
| 526 | C5×D4 | — | 2 | 2 | no | — |
| 527 | C5×D4 | — | 6 | 2 | no | — |
| 528 | C5×D4 | — | 6 | 2 | no | — |
| 529 | C5×D4 | — | 12 | 2 | no | — |
| 530 | C5×D4 | — | 12 | 2 | no | — |
| 531 | C2×C4×C5 | — | 2 | 2 | no | — |
| 532 | C2×C4×C5 | — | 2 | 1 | no | — |
| 533 | C2×C4×C5 | — | 2 | 1 | no | — |
| 534 | C2×C4×C5 | — | 3 | 2 | no | — |
| 535 | C2×C4×C5 | — | 3 | 2 | no | — |
| 536 | C2×C4×C5 | — | 3 | 1 | no | — |
| 537 | C2×C4×C5 | — | 3 | 1 | no | — |
| 538 | C2×C4×C5 | — | 3 | 1 | no | — |
| 539 | C2×C4×C5 | — | 6 | 1 | no | — |
| 540 | C2×C4×C5 | — | 6 | 1 | no | — |
| 541 | C2×C4×C5 | — | 6 | 1 | no | — |
| 542 | C2×C4×C5 | — | 6 | 1 | no | — |
| 543 | C2×C4×C5 | — | 6 | 1 | no | — |
| 544 | C2×C4×C5 | — | 12 | 1 | no | — |
| 545 | C2×C4×C5 | — | 12 | 2 | no | — |
| 546 | C2×C4×C5 | — | 12 | 1 | no | — |
| 547 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 548 | C22⋊D5 | — | 2 | 2 | no | — |
| 549 | C22⋊D5 | — | 2 | 2 | no | — |
| 550 | C22⋊D5 | — | 2 | 2 | no | — |
| 551 | C22⋊D5 | — | 6 | 2 | no | — |
| 552 | C22⋊D5 | — | 6 | 2 | no | — |
| 553 | C22⋊D5 | — | 6 | 2 | no | — |
| 554 | C22⋊D5 | — | 6 | 2 | no | — |
| 555 | C22⋊D5 | — | 6 | 2 | no | — |
| 556 | C22⋊D5 | — | 12 | 4 | no | — |
| 557 | C22⋊D5 | — | 12 | 4 | no | — |
| 558 | C2×Dic5 | — | 2 | 1 | no | — |
| 559 | C2×Dic5 | — | 2 | 2 | no | — |
| 560 | C2×Dic5 | — | 3 | 2 | no | — |
| 561 | C2×Dic5 | — | 6 | 2 | no | — |
| 562 | C2×Dic5 | — | 6 | 1 | no | — |
| 563 | C2×Dic5 | — | 6 | 2 | no | — |
| 564 | C2×Dic5 | D3×D4 | 1 | 2 | yes | — |
| 565 | D20 | — | 2 | 1 | no | — |
| 566 | D20 | — | 6 | 1 | no | — |
| 567 | D20 | — | 6 | 2 | no | — |
| 568 | D20 | — | 6 | 2 | no | — |
| 569 | D20 | — | 6 | 2 | no | — |
| 570 | C4×D5 | — | 2 | 2 | no | — |
| 571 | C4×D5 | — | 6 | 2 | no | — |
| 572 | C4×D5 | — | 6 | 2 | no | — |
| 573 | C4×D5 | — | 6 | 2 | no | — |
| 574 | C4×D5 | — | 6 | 2 | no | — |
| 575 | C4×D5 | — | 6 | 2 | no | — |
| 576 | C4×D5 | — | 6 | 2 | no | — |
| 577 | C4×D5 | — | 6 | 2 | no | — |
| 578 | Dic10 | — | 2 | 1 | no | — |
| 579 | Dic10 | — | 6 | 2 | no | — |
| 580 | Dic10 | — | 6 | 2 | no | — |
| 581 | Dic10 | — | 6 | 2 | no | — |
| 582 | Dic10 | — | 6 | 1 | no | — |
| 583 | 2−1+4 | — | 30 | 1 | no | — |
| 584 | 2−1+4 | — | 30 | 2 | no | — |
| 585 | H(5,𝔽2) | — | 5 | 1 | no | — |
| 586 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 587 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 588 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 589 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 590 | C2×#41 | — | 3 | 1 | no | — |
| 591 | C2×#41 | — | 15 | 2 | no | — |
| 592 | C2×#41 | — | 30 | 1 | no | — |
| 593 | C2×#41 | — | 30 | 1 | no | — |
| 594 | C2×#41 | — | 30 | 2 | no | — |
| 595 | C2×#41 | — | 30 | 2 | no | — |
| 596 | C23×C4 | — | 3 | 1 | no | — |
| 597 | #123 | — | 3 | 1 | no | — |
| 598 | #123 | — | 5 | 2 | no | — |
| 599 | #123 | — | 15 | 2 | no | — |
| 600 | #123 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 601 | C22⋊Q8 | — | 6 | 1 | no | — |
| 602 | C22⋊Q8 | — | 30 | 2 | no | — |
| 603 | #121 | — | 6 | 1 | no | — |
| 604 | #121 | — | 30 | 2 | no | — |
| 605 | #120 | — | 3 | 1 | no | — |
| 606 | #120 | — | 3 | 1 | no | — |
| 607 | #120 | — | 15 | 2 | no | — |
| 608 | #120 | — | 15 | 2 | no | — |
| 609 | C4×D4 | — | 6 | 1 | no | — |
| 610 | C4×D4 | — | 6 | 1 | no | — |
| 611 | C4×D4 | — | 30 | 2 | no | — |
| 612 | C4×D4 | — | 30 | 2 | no | — |
| 613 | #117 | — | 3 | 1 | no | — |
| 614 | #117 | — | 15 | 2 | no | — |
| 615 | #99 | — | 5 | 1 | no | — |
| 616 | #99 | — | 5 | 2 | no | — |
| 617 | #99 | — | 15 | 2 | no | — |
| 618 | #99 | — | 15 | 2 | no | — |
| 619 | #99 | — | 15 | 2 | no | — |
| 620 | #99 | — | 15 | 1 | no | — |
| 621 | #99 | — | 15 | 2 | no | — |
| 622 | C2×C3×C5 | — | 2 | 1 | no | — |
| 623 | C2×C3×C5 | — | 2 | 2 | no | — |
| 624 | C2×C3×C5 | — | 4 | 1 | no | — |
| 625 | C2×C3×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 626 | D15 | — | 4 | 2 | no | — |
| 627 | C3×D5 | — | 4 | 2 | no | — |
| 628 | C5×D3 | — | 4 | 1 | no | — |
| 629 | C5×D3 | — | 4 | 2 | no | — |
| 630 | C23×C3 | — | 5 | 2 | no | — |
| 631 | C23×C3 | — | 10 | 1 | no | — |
| 632 | C23×C3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 633 | C23×C3 | C23×D5 | 1 | 1 | yes | characteristic |
| 634 | C22×D3 | — | 2 | 2 | no | — |
| 635 | C22×D3 | — | 2 | 1 | no | — |
| 636 | C22×D3 | — | 4 | 2 | no | — |
| 637 | C22×D3 | — | 5 | 2 | no | — |
| 638 | C22×D3 | — | 10 | 2 | no | — |
| 639 | C22×D3 | — | 10 | 1 | no | — |
| 640 | C22×D3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 641 | C3×Q8 | — | 10 | 1 | no | — |
| 642 | C3×D4 | — | 2 | 2 | no | — |
| 643 | C3×D4 | — | 10 | 1 | no | — |
| 644 | C3×D4 | — | 10 | 2 | no | — |
| 645 | C3×D4 | — | 10 | 2 | no | — |
| 646 | C3×D4 | — | 10 | 2 | no | — |
| 647 | C2×C3×C4 | — | 2 | 2 | no | — |
| 648 | C2×C3×C4 | — | 2 | 1 | no | — |
| 649 | C2×C3×C4 | — | 2 | 1 | no | — |
| 650 | C2×C3×C4 | — | 5 | 2 | no | — |
| 651 | C2×C3×C4 | — | 10 | 2 | no | — |
| 652 | C2×C3×C4 | — | 10 | 1 | no | — |
| 653 | C2×C3×C4 | — | 10 | 2 | no | — |
| 654 | C2×C3×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 655 | #67 | — | 2 | 2 | no | — |
| 656 | #67 | — | 2 | 2 | no | — |
| 657 | #67 | — | 4 | 2 | no | — |
| 658 | #67 | — | 10 | 2 | no | — |
| 659 | #67 | — | 10 | 2 | no | — |
| 660 | #67 | — | 10 | 2 | no | — |
| 661 | #67 | — | 10 | 2 | no | — |
| 662 | #67 | — | 10 | 2 | no | — |
| 663 | #67 | — | 10 | 2 | no | — |
| 664 | #67 | — | 10 | 2 | no | — |
| 665 | #67 | — | 20 | 4 | no | — |
| 666 | C2×Dic3 | — | 2 | 1 | no | — |
| 667 | C2×Dic3 | — | 2 | 1 | no | — |
| 668 | C2×Dic3 | — | 2 | 1 | no | — |
| 669 | C2×Dic3 | — | 5 | 2 | no | — |
| 670 | C2×Dic3 | — | 10 | 2 | no | — |
| 671 | C2×Dic3 | — | 10 | 1 | no | — |
| 672 | C2×Dic3 | — | 10 | 2 | no | — |
| 673 | C2×Dic3 | — | 10 | 2 | no | — |
| 674 | C2×Dic3 | — | 10 | 2 | no | — |
| 675 | C2×Dic3 | D4×D5 | 1 | 2 | yes | — |
| 676 | C2×Dic3 | D4×D5 | 1 | 2 | yes | — |
| 677 | C2×Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 678 | C2×Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 679 | C2×Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 680 | D12 | — | 4 | 2 | no | — |
| 681 | D12 | — | 10 | 1 | no | — |
| 682 | D12 | — | 10 | 2 | no | — |
| 683 | D12 | — | 20 | 4 | no | — |
| 684 | C4×D3 | — | 2 | 1 | no | — |
| 685 | C4×D3 | — | 2 | 1 | no | — |
| 686 | C4×D3 | — | 4 | 2 | no | — |
| 687 | C4×D3 | — | 4 | 1 | no | — |
| 688 | C4×D3 | — | 4 | 1 | no | — |
| 689 | C4×D3 | — | 10 | 2 | no | — |
| 690 | C4×D3 | — | 10 | 2 | no | — |
| 691 | C4×D3 | — | 10 | 2 | no | — |
| 692 | C4×D3 | — | 10 | 2 | no | — |
| 693 | C4×D3 | — | 10 | 2 | no | — |
| 694 | Dic6 | — | 2 | 2 | no | — |
| 695 | Dic6 | — | 10 | 2 | no | — |
| 696 | Dic6 | — | 10 | 1 | no | — |
| 697 | Dic6 | — | 10 | 2 | no | — |
| 698 | Dic6 | — | 10 | 2 | no | — |
| 699 | C22×C5 | — | 2 | 1 | no | — |
| 700 | C22×C5 | — | 4 | 1 | no | — |
| 701 | C22×C5 | — | 4 | 1 | no | — |
| 702 | C22×C5 | — | 6 | 4 | no | — |
| 703 | C22×C5 | — | 6 | 2 | no | — |
| 704 | C22×C5 | — | 6 | 1 | no | — |
| 705 | C22×C5 | — | 12 | 1 | no | — |
| 706 | C22×C5 | — | 12 | 2 | no | — |
| 707 | C22×C5 | — | 12 | 1 | no | — |
| 708 | C22×C5 | — | 12 | 1 | no | — |
| 709 | C22×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 710 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 711 | C2×D5 | — | 2 | 2 | no | — |
| 712 | C2×D5 | — | 4 | 2 | no | — |
| 713 | C2×D5 | — | 6 | 2 | no | — |
| 714 | C2×D5 | — | 8 | 1 | no | — |
| 715 | C2×D5 | — | 12 | 2 | no | — |
| 716 | C2×D5 | — | 24 | 2 | no | — |
| 717 | C2×D5 | — | 24 | 1 | no | — |
| 718 | C4×C5 | — | 2 | 1 | no | — |
| 719 | C4×C5 | — | 3 | 1 | no | — |
| 720 | C4×C5 | — | 3 | 2 | no | — |
| 721 | C4×C5 | — | 3 | 1 | no | — |
| 722 | C4×C5 | — | 4 | 1 | no | — |
| 723 | C4×C5 | — | 4 | 1 | no | — |
| 724 | C4×C5 | — | 6 | 1 | no | — |
| 725 | C4×C5 | — | 12 | 1 | no | — |
| 726 | Dic5 | — | 2 | 2 | no | — |
| 727 | Dic5 | — | 4 | 2 | no | — |
| 728 | Dic5 | — | 6 | 2 | no | — |
| 729 | Dic5 | — | 12 | 2 | no | — |
| 730 | C24 | — | 3 | 1 | no | — |
| 731 | #41 | — | 6 | 2 | no | — |
| 732 | #41 | — | 6 | 2 | no | — |
| 733 | #41 | — | 10 | 2 | no | — |
| 734 | #41 | — | 10 | 1 | no | — |
| 735 | #41 | — | 30 | 2 | no | — |
| 736 | #41 | — | 30 | 2 | no | — |
| 737 | #41 | — | 30 | 2 | no | — |
| 738 | #41 | — | 30 | 2 | no | — |
| 739 | #41 | — | 30 | 2 | no | — |
| 740 | #41 | — | 30 | 2 | no | — |
| 741 | #41 | — | 30 | 2 | no | — |
| 742 | #41 | — | 30 | 1 | no | — |
| 743 | #41 | — | 30 | 2 | no | — |
| 744 | #41 | — | 30 | 2 | no | — |
| 745 | #41 | — | 30 | 1 | no | — |
| 746 | #41 | — | 30 | 2 | no | — |
| 747 | #41 | — | 30 | 2 | no | — |
| 748 | #41 | — | 30 | 2 | no | — |
| 749 | #41 | — | 30 | 2 | no | — |
| 750 | #41 | — | 30 | 2 | no | — |
| 751 | #41 | — | 30 | 2 | no | — |
| 752 | #41 | — | 30 | 1 | no | — |
| 753 | C2×Q8 | — | 3 | 1 | no | — |
| 754 | C2×Q8 | — | 15 | 2 | no | — |
| 755 | C2×Q8 | — | 30 | 1 | no | — |
| 756 | C2×Q8 | — | 30 | 1 | no | — |
| 757 | C2×Q8 | — | 30 | 2 | no | — |
| 758 | C2×Q8 | — | 30 | 2 | no | — |
| 759 | C2×D4 | — | 3 | 1 | no | — |
| 760 | C2×D4 | — | 3 | 1 | no | — |
| 761 | C2×D4 | — | 5 | 2 | no | — |
| 762 | C2×D4 | — | 6 | 1 | no | — |
| 763 | C2×D4 | — | 6 | 1 | no | — |
| 764 | C2×D4 | — | 10 | 2 | no | — |
| 765 | C2×D4 | — | 10 | 1 | no | — |
| 766 | C2×D4 | — | 15 | 2 | no | — |
| 767 | C2×D4 | — | 15 | 2 | no | — |
| 768 | C2×D4 | — | 30 | 1 | no | — |
| 769 | C2×D4 | — | 30 | 1 | no | — |
| 770 | C2×D4 | — | 30 | 2 | no | — |
| 771 | C2×D4 | — | 30 | 2 | no | — |
| 772 | C2×D4 | — | 30 | 2 | no | — |
| 773 | C2×D4 | — | 30 | 2 | no | — |
| 774 | C2×D4 | — | 30 | 2 | no | — |
| 775 | C2×D4 | — | 30 | 2 | no | — |
| 776 | C2×D4 | — | 30 | 2 | no | — |
| 777 | C2×D4 | — | 30 | 1 | no | — |
| 778 | C2×D4 | — | 30 | 2 | no | — |
| 779 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 780 | C22×C4 | — | 3 | 1 | no | — |
| 781 | C22×C4 | — | 3 | 1 | no | — |
| 782 | C22×C4 | — | 3 | 1 | no | — |
| 783 | C22×C4 | — | 6 | 1 | no | — |
| 784 | C22×C4 | — | 6 | 2 | no | — |
| 785 | C22×C4 | — | 6 | 1 | no | — |
| 786 | C22×C4 | — | 6 | 2 | no | — |
| 787 | C22×C4 | — | 15 | 2 | no | — |
| 788 | C22×C4 | — | 15 | 2 | no | — |
| 789 | C22×C4 | — | 30 | 2 | no | — |
| 790 | C22×C4 | — | 30 | 1 | no | — |
| 791 | C22×C4 | — | 30 | 1 | no | — |
| 792 | C22×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 793 | C4⋊C4 | — | 2 | 1 | no | — |
| 794 | C4⋊C4 | — | 6 | 1 | no | — |
| 795 | C4⋊C4 | — | 6 | 1 | no | — |
| 796 | C4⋊C4 | — | 10 | 2 | no | — |
| 797 | C4⋊C4 | — | 30 | 2 | no | — |
| 798 | C4⋊C4 | — | 30 | 2 | no | — |
| 799 | C22⋊C4 | — | 2 | 1 | no | — |
| 800 | C22⋊C4 | — | 3 | 1 | no | — |
| 801 | C22⋊C4 | — | 5 | 2 | no | — |
| 802 | C22⋊C4 | — | 6 | 1 | no | — |
| 803 | C22⋊C4 | — | 6 | 1 | no | — |
| 804 | C22⋊C4 | — | 6 | 1 | no | — |
| 805 | C22⋊C4 | — | 10 | 2 | no | — |
| 806 | C22⋊C4 | — | 15 | 2 | no | — |
| 807 | C22⋊C4 | — | 30 | 2 | no | — |
| 808 | C22⋊C4 | — | 30 | 2 | no | — |
| 809 | C22⋊C4 | — | 30 | 2 | no | — |
| 810 | C22⋊C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 811 | C42 | — | 6 | 1 | no | — |
| 812 | C42 | — | 30 | 2 | no | — |
| 813 | C3×C5 | #3025 | 1 | 1 | yes | characteristic, complemented, Hall |
| 814 | C22×C3 | — | 2 | 1 | no | — |
| 815 | C22×C3 | — | 4 | 1 | no | — |
| 816 | C22×C3 | — | 4 | 1 | no | — |
| 817 | C22×C3 | — | 10 | 2 | no | — |
| 818 | C22×C3 | — | 20 | 2 | no | — |
| 819 | C22×C3 | — | 40 | 1 | no | — |
| 820 | C22×C3 | C2×D4×D5 | 1 | 2 | yes | — |
| 821 | C22×C3 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 822 | C2×D3 | — | 2 | 2 | no | — |
| 823 | C2×D3 | — | 2 | 4 | no | — |
| 824 | C2×D3 | — | 2 | 1 | no | — |
| 825 | C2×D3 | — | 4 | 1 | no | — |
| 826 | C2×D3 | — | 4 | 2 | no | — |
| 827 | C2×D3 | — | 4 | 1 | no | — |
| 828 | C2×D3 | — | 4 | 1 | no | — |
| 829 | C2×D3 | — | 10 | 2 | no | — |
| 830 | C2×D3 | — | 20 | 2 | no | — |
| 831 | C2×D3 | — | 40 | 2 | no | — |
| 832 | C2×D3 | — | 40 | 1 | no | — |
| 833 | C3×C4 | — | 2 | 1 | no | — |
| 834 | C3×C4 | — | 4 | 1 | no | — |
| 835 | C3×C4 | — | 4 | 1 | no | — |
| 836 | C3×C4 | — | 10 | 2 | no | — |
| 837 | C3×C4 | — | 20 | 2 | no | — |
| 838 | Dic3 | — | 2 | 1 | no | — |
| 839 | Dic3 | — | 4 | 1 | no | — |
| 840 | Dic3 | — | 10 | 2 | no | — |
| 841 | Dic3 | — | 20 | 2 | no | — |
| 842 | Dic3 | #4083 | 1 | 2 | yes | — |
| 843 | Dic3 | #4083 | 1 | 1 | yes | characteristic |
| 844 | Dic3 | #4083 | 1 | 1 | yes | characteristic |
| 845 | C2×C5 | — | 2 | 2 | no | — |
| 846 | C2×C5 | — | 2 | 1 | no | — |
| 847 | C2×C5 | — | 4 | 1 | no | — |
| 848 | C2×C5 | — | 12 | 1 | no | — |
| 849 | C2×C5 | — | 12 | 2 | no | — |
| 850 | C2×C5 | D3×#120 | 1 | 1 | yes | characteristic |
| 851 | D5 | — | 4 | 2 | no | — |
| 852 | D5 | — | 12 | 2 | no | — |
| 853 | C23 | — | 3 | 1 | no | — |
| 854 | C23 | — | 5 | 2 | no | — |
| 855 | C23 | — | 6 | 2 | no | — |
| 856 | C23 | — | 6 | 1 | no | — |
| 857 | C23 | — | 10 | 1 | no | — |
| 858 | C23 | — | 12 | 2 | no | — |
| 859 | C23 | — | 15 | 2 | no | — |
| 860 | C23 | — | 30 | 1 | no | — |
| 861 | C23 | — | 30 | 2 | no | — |
| 862 | C23 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 863 | C23 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 864 | Q8 | — | 6 | 2 | no | — |
| 865 | Q8 | — | 10 | 1 | no | — |
| 866 | Q8 | — | 30 | 1 | no | — |
| 867 | Q8 | — | 30 | 2 | no | — |
| 868 | Q8 | — | 30 | 2 | no | — |
| 869 | Q8 | — | 30 | 2 | no | — |
| 870 | D4 | — | 2 | 2 | no | — |
| 871 | D4 | — | 6 | 2 | no | — |
| 872 | D4 | — | 6 | 2 | no | — |
| 873 | D4 | — | 10 | 1 | no | — |
| 874 | D4 | — | 10 | 2 | no | — |
| 875 | D4 | — | 10 | 2 | no | — |
| 876 | D4 | — | 10 | 2 | no | — |
| 877 | D4 | — | 12 | 2 | no | — |
| 878 | D4 | — | 12 | 2 | no | — |
| 879 | D4 | — | 30 | 1 | no | — |
| 880 | D4 | — | 30 | 2 | no | — |
| 881 | D4 | — | 30 | 2 | no | — |
| 882 | D4 | — | 30 | 2 | no | — |
| 883 | D4 | — | 30 | 2 | no | — |
| 884 | D4 | — | 30 | 2 | no | — |
| 885 | D4 | — | 30 | 2 | no | — |
| 886 | D4 | — | 30 | 2 | no | — |
| 887 | D4 | — | 30 | 2 | no | — |
| 888 | D4 | — | 60 | 4 | no | — |
| 889 | D4 | — | 60 | 4 | no | — |
| 890 | C2×C4 | — | 2 | 2 | no | — |
| 891 | C2×C4 | — | 2 | 1 | no | — |
| 892 | C2×C4 | — | 2 | 1 | no | — |
| 893 | C2×C4 | — | 3 | 2 | no | — |
| 894 | C2×C4 | — | 3 | 2 | no | — |
| 895 | C2×C4 | — | 3 | 1 | no | — |
| 896 | C2×C4 | — | 3 | 1 | no | — |
| 897 | C2×C4 | — | 3 | 1 | no | — |
| 898 | C2×C4 | — | 5 | 2 | no | — |
| 899 | C2×C4 | — | 6 | 1 | no | — |
| 900 | C2×C4 | — | 6 | 1 | no | — |
| 901 | C2×C4 | — | 6 | 1 | no | — |
| 902 | C2×C4 | — | 6 | 1 | no | — |
| 903 | C2×C4 | — | 6 | 1 | no | — |
| 904 | C2×C4 | — | 10 | 2 | no | — |
| 905 | C2×C4 | — | 10 | 1 | no | — |
| 906 | C2×C4 | — | 10 | 2 | no | — |
| 907 | C2×C4 | — | 12 | 1 | no | — |
| 908 | C2×C4 | — | 12 | 1 | no | — |
| 909 | C2×C4 | — | 12 | 2 | no | — |
| 910 | C2×C4 | — | 15 | 2 | no | — |
| 911 | C2×C4 | — | 30 | 2 | no | — |
| 912 | C2×C4 | — | 30 | 2 | no | — |
| 913 | C2×C4 | — | 30 | 2 | no | — |
| 914 | C2×C4 | — | 30 | 2 | no | — |
| 915 | C2×C4 | — | 30 | 2 | no | — |
| 916 | C2×C4 | — | 30 | 2 | no | — |
| 917 | C2×C4 | — | 30 | 2 | no | — |
| 918 | C2×C4 | — | 30 | 2 | no | — |
| 919 | C2×C4 | — | 30 | 1 | no | — |
| 920 | C2×C4 | — | 30 | 2 | no | — |
| 921 | C2×C4 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 922 | C2×C3 | — | 2 | 1 | no | — |
| 923 | C2×C3 | — | 2 | 2 | no | — |
| 924 | C2×C3 | — | 4 | 1 | no | — |
| 925 | C2×C3 | — | 20 | 2 | no | — |
| 926 | C2×C3 | C2×#4083 | 1 | 1 | yes | characteristic |
| 927 | D3 | — | 4 | 2 | no | — |
| 928 | D3 | — | 4 | 1 | no | — |
| 929 | D3 | — | 20 | 2 | no | — |
| 930 | C5 | #80308 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 931 | C22 | — | 2 | 1 | no | — |
| 932 | C22 | — | 4 | 1 | no | — |
| 933 | C22 | — | 4 | 1 | no | — |
| 934 | C22 | — | 6 | 2 | no | — |
| 935 | C22 | — | 6 | 4 | no | — |
| 936 | C22 | — | 6 | 1 | no | — |
| 937 | C22 | — | 10 | 2 | no | — |
| 938 | C22 | — | 12 | 1 | no | — |
| 939 | C22 | — | 12 | 1 | no | — |
| 940 | C22 | — | 12 | 2 | no | — |
| 941 | C22 | — | 12 | 1 | no | — |
| 942 | C22 | — | 20 | 2 | no | — |
| 943 | C22 | — | 30 | 2 | no | — |
| 944 | C22 | — | 40 | 1 | no | — |
| 945 | C22 | — | 60 | 2 | no | — |
| 946 | C22 | — | 120 | 1 | no | — |
| 947 | C22 | — | 120 | 2 | no | — |
| 948 | C22 | D3×D4×D5 | 1 | 2 | yes | — |
| 949 | C22 | C2×D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 950 | C4 | — | 2 | 1 | no | — |
| 951 | C4 | — | 3 | 1 | no | — |
| 952 | C4 | — | 3 | 1 | no | — |
| 953 | C4 | — | 3 | 2 | no | — |
| 954 | C4 | — | 4 | 1 | no | — |
| 955 | C4 | — | 4 | 1 | no | — |
| 956 | C4 | — | 6 | 1 | no | — |
| 957 | C4 | — | 10 | 2 | no | — |
| 958 | C4 | — | 12 | 1 | no | — |
| 959 | C4 | — | 20 | 2 | no | — |
| 960 | C4 | — | 30 | 2 | no | — |
| 961 | C4 | — | 60 | 2 | no | — |
| 962 | C3 | #10614667 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 963 | C2 | — | 2 | 1 | no | — |
| 964 | C2 | — | 2 | 2 | no | — |
| 965 | C2 | — | 4 | 1 | no | — |
| 966 | C2 | — | 12 | 2 | no | — |
| 967 | C2 | — | 12 | 1 | no | — |
| 968 | C2 | — | 20 | 2 | no | — |
| 969 | C2 | — | 60 | 2 | no | — |
| 970 | C2 | D3×#4083 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11757035 | C2 | semidirect |
| 2. C5×#5656 | C2 | semidirect |
| 3. #11754339 | C2 | semidirect |
| 4. #11751154 | C2 | semidirect |
| 5. C3×#65342 | C2 | semidirect |
| 6. #11749180 | C2 | semidirect |
| 7. #11749175 | C2 | semidirect |
| 8. #11749173 | C2 | semidirect |
| 9. #11748939 | C2 | semidirect |
| 10. #11747134 | C2 | semidirect |
| 11. #11747130 | C2 | semidirect |
| 15. C22×C4×C5×D3 | C22 | semidirect |
| 27. C3×C5×#123 | C22 | semidirect |
| 28. #91818 | C22 | semidirect |
| 29. C5×#937 | C22 | semidirect |
| 30. C5×#929 | C22 | semidirect |
| 34. C5×#882 | C22 | semidirect |
| 36. C5×#877 | C22 | semidirect |
| 37. C3×#4075 | C22 | semidirect |
| 38. #91570 | C22 | semidirect |
| 39. #91568 | C22 | semidirect |
| 40. #91529 | C22 | semidirect |
| 45. #91118 | C22 | semidirect |
| 46. #91090 | C22 | semidirect |
| 47. C3×#3966 | C22 | semidirect |
| 48. C3×#3938 | C22 | semidirect |
| 49. #90997 | C22 | semidirect |
| 50. #90996 | C22 | semidirect |
| 51. #90995 | C22 | semidirect |
| 59. #65342 | D3 | semidirect |
| 73. C2×C5×#67 | D4 | semidirect |
| 75. C22×C5×Dic3 | D4 | semidirect |
| 84. C2×C4×C5×D3 | D4 | semidirect |
| 85. C2×C5×Dic6 | D4 | semidirect |
| 97. C2×#1204 | D4 | semidirect |
| 100. C2×#1202 | D4 | semidirect |
| 103. C2×#1200 | D4 | semidirect |
| 116. C2×D5×Dic3 | D4 | semidirect |
| 149. #5656 | D5 | semidirect |
| 173. C5×#123 | C2×D3 | semidirect |
| 185. #4075 | C2×D3 | semidirect |
| 192. #3966 | C2×D3 | semidirect |
| 196. #3938 | C2×D3 | semidirect |
| 280. C22×C4×D3 | C2×D5 | semidirect |
| 282. C3×#123 | C2×D5 | semidirect |
| 284. #937 | C2×D5 | semidirect |
| 286. #929 | C2×D5 | semidirect |
| 294. #882 | C2×D5 | semidirect |
| 298. #877 | C2×D5 | semidirect |
| 447. C2×#67 | C22⋊D5 | semidirect |
| 451. C22×Dic3 | C22⋊D5 | semidirect |
| 489. C2×C4×D3 | C22⋊D5 | semidirect |
| 493. C2×Dic6 | C22⋊D5 | semidirect |
| 600. #123 | D3×D5 | semidirect |
| 813. C3×C5 | #3025 | semidirect |
| 930. C5 | #80308 | semidirect |
| 962. C3 | #10614667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757035 | 2 |
| C5×#5656 | 2 |
| #11754339 | 2 |
| #11751154 | 2 |
| C3×#65342 | 2 |
| #11749180 | 2 |
| #11749175 | 2 |
| #11749173 | 2 |
| #11748939 | 2 |
| #11747134 | 2 |
| #11747130 | 2 |
| #10614667 | 3 |
| #80308 | 5 |