← #13007873
Subgroups — #13007873
Order 1280.
7286 conjugacy classes of subgroups.
The subgroup lattice has 768 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C22×C5×#117 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#66125 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10617648 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #10617647 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #10617646 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10617645 | C2 | 1 | 16 | yes | maximal, complemented |
| 7 | #10617639 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10617636 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10617632 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10617628 | C2 | 1 | 8 | yes | maximal, complemented |
| 11 | #10617626 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10617619 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #10617598 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #10617581 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | C24×C4×C5 | C22 | 1 | 1 | yes | characteristic |
| 16 | C22×#709 | C22 | 1 | 2 | yes | — |
| 17 | C2×C5×#117 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C5×#117 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C5×#117 | C22 | 1 | 2 | yes | — |
| 20 | C2×C5×#117 | C22 | 1 | 8 | yes | complemented |
| 21 | C2×C5×#117 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×C5×#117 | C22 | 1 | 8 | yes | complemented |
| 23 | C2×C5×#117 | C22 | 1 | 2 | yes | complemented |
| 24 | C22×C5×C4⋊C4 | C22 | 1 | 2 | yes | complemented |
| 25 | C22×C5×C22⋊C4 | C22 | 1 | 2 | yes | — |
| 26 | C22×C42×C5 | C22 | 1 | 2 | yes | complemented |
| 27 | C2×#4099 | C22 | 1 | 4 | yes | — |
| 28 | #66125 | C22 | 1 | 8 | yes | — |
| 29 | #66125 | C22 | 1 | 8 | yes | — |
| 30 | #66125 | C22 | 1 | 4 | yes | complemented |
| 31 | #66125 | C22 | 1 | 16 | yes | complemented |
| 32 | #66125 | C22 | 1 | 4 | yes | complemented |
| 33 | #66125 | C22 | 1 | 4 | yes | complemented |
| 34 | #66125 | C22 | 1 | 4 | yes | complemented |
| 35 | C2×#4076 | C22 | 1 | 4 | yes | complemented |
| 36 | C2×#4075 | C22 | 1 | 4 | yes | — |
| 37 | C2×C4×C22⋊D5 | C22 | 1 | 8 | yes | complemented |
| 38 | C2×#4072 | C22 | 1 | 2 | yes | — |
| 39 | C2×#4070 | C22 | 1 | 4 | yes | complemented |
| 40 | #65869 | C22 | 1 | 8 | yes | complemented |
| 41 | #65868 | C22 | 1 | 16 | yes | complemented |
| 42 | #65867 | C22 | 1 | 16 | yes | complemented |
| 43 | #65866 | C22 | 1 | 16 | yes | complemented |
| 44 | #65865 | C22 | 1 | 32 | yes | complemented |
| 45 | #65864 | C22 | 1 | 16 | yes | complemented |
| 46 | #65863 | C22 | 1 | 16 | yes | complemented |
| 47 | #65862 | C22 | 1 | 32 | yes | complemented |
| 48 | #65861 | C22 | 1 | 32 | yes | complemented |
| 49 | #65860 | C22 | 1 | 4 | yes | complemented |
| 50 | #65859 | C22 | 1 | 4 | yes | complemented |
| 51 | #65858 | C22 | 1 | 8 | yes | complemented |
| 52 | #65857 | C22 | 1 | 8 | yes | complemented |
| 53 | #65856 | C22 | 1 | 8 | yes | complemented |
| 54 | #65855 | C22 | 1 | 4 | yes | complemented |
| 55 | D5×#117 | C22 | 1 | 8 | yes | complemented |
| 56 | #65853 | C22 | 1 | 8 | yes | complemented |
| 57 | #65852 | C22 | 1 | 8 | yes | complemented |
| 58 | #65851 | C22 | 1 | 8 | yes | complemented |
| 59 | #65850 | C22 | 1 | 4 | yes | complemented |
| 60 | #65849 | C22 | 1 | 16 | yes | complemented |
| 61 | #65848 | C22 | 1 | 16 | yes | complemented |
| 62 | #65847 | C22 | 1 | 16 | yes | complemented |
| 63 | #65845 | C22 | 1 | 16 | yes | complemented |
| 64 | #65844 | C22 | 1 | 4 | yes | complemented |
| 65 | #65841 | C22 | 1 | 16 | yes | complemented |
| 66 | #65838 | C22 | 1 | 8 | yes | complemented |
| 67 | #65834 | C22 | 1 | 4 | yes | complemented |
| 68 | #65829 | C22 | 1 | 32 | yes | complemented |
| 69 | #65828 | C22 | 1 | 16 | yes | complemented |
| 70 | #65827 | C22 | 1 | 4 | yes | — |
| 71 | #65824 | C22 | 1 | 32 | yes | complemented |
| 72 | #65820 | C22 | 1 | 8 | yes | — |
| 73 | #65817 | C22 | 1 | 4 | yes | — |
| 74 | #65813 | C22 | 1 | 16 | yes | complemented |
| 75 | #65813 | C22 | 1 | 16 | yes | complemented |
| 76 | #65813 | C22 | 1 | 16 | yes | complemented |
| 77 | #65811 | C22 | 1 | 4 | yes | complemented |
| 78 | #65811 | C22 | 1 | 8 | yes | complemented |
| 79 | C4×#709 | C22 | 1 | 8 | yes | complemented |
| 80 | C4×#709 | C22 | 1 | 16 | yes | complemented |
| 81 | #65804 | C22 | 1 | 4 | yes | complemented |
| 82 | #65804 | C22 | 1 | 8 | yes | complemented |
| 83 | #62814 | — | 5 | 1 | no | maximal, Sylow |
| 84 | C25×C5 | C23 | 1 | 1 | yes | characteristic |
| 85 | C23×C4×C5 | — | 2 | 8 | no | — |
| 86 | C23×C4×C5 | C23 | 1 | 4 | yes | — |
| 87 | C23×C4×C5 | C23 | 1 | 4 | yes | — |
| 88 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 89 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 90 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 91 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 92 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 93 | C23×C4×C5 | C23 | 1 | 4 | yes | — |
| 94 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 95 | C22×C22⋊D5 | C23 | 1 | 4 | yes | — |
| 96 | C22×C22⋊D5 | C23 | 1 | 8 | yes | — |
| 97 | C2×#709 | — | 2 | 16 | no | — |
| 98 | C2×#709 | C23 | 1 | 4 | yes | — |
| 99 | C2×#709 | C23 | 1 | 4 | yes | — |
| 100 | C2×#709 | C23 | 1 | 4 | yes | — |
| 101 | C2×#709 | C23 | 1 | 4 | yes | — |
| 102 | C2×#709 | C23 | 1 | 16 | yes | — |
| 103 | C22×D20 | C23 | 1 | 2 | yes | — |
| 104 | C22×C4×D5 | C23 | 1 | 4 | yes | — |
| 105 | C22×Dic10 | C23 | 1 | 2 | yes | — |
| 106 | C5×#117 | C23 | 1 | 4 | yes | — |
| 107 | C5×#117 | C23 | 1 | 4 | yes | — |
| 108 | C5×#117 | C23 | 1 | 8 | yes | — |
| 109 | C5×#117 | C23 | 1 | 4 | yes | — |
| 110 | C5×#117 | C23 | 1 | 4 | yes | — |
| 111 | C5×#117 | C23 | 1 | 16 | yes | — |
| 112 | C5×#117 | C23 | 1 | 8 | yes | — |
| 113 | C5×#117 | C23 | 1 | 8 | yes | — |
| 114 | C5×#117 | C23 | 1 | 8 | yes | — |
| 115 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 116 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 117 | C2×C5×C4⋊C4 | C23 | 1 | 8 | yes | — |
| 118 | C2×C5×C4⋊C4 | C23 | 1 | 8 | yes | — |
| 119 | C2×C5×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 120 | C2×C5×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 121 | C2×C5×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 122 | C2×C5×C22⋊C4 | C23 | 1 | 16 | yes | — |
| 123 | C2×C5×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 124 | C2×C42×C5 | C23 | 1 | 2 | yes | — |
| 125 | C2×C42×C5 | C23 | 1 | 8 | yes | — |
| 126 | C2×C42×C5 | C23 | 1 | 2 | yes | — |
| 127 | C2×C42×C5 | C23 | 1 | 8 | yes | — |
| 128 | C2×C42×C5 | C23 | 1 | 4 | yes | — |
| 129 | #4099 | C23 | 1 | 16 | yes | — |
| 130 | #4099 | C23 | 1 | 8 | yes | — |
| 131 | #4099 | C23 | 1 | 8 | yes | — |
| 132 | C2×C22⋊Dic5 | C23 | 1 | 4 | yes | — |
| 133 | C2×C22⋊Dic5 | C23 | 1 | 8 | yes | — |
| 134 | #4076 | C23 | 1 | 8 | yes | — |
| 135 | #4076 | C23 | 1 | 16 | yes | — |
| 136 | #4076 | C23 | 1 | 16 | yes | — |
| 137 | #4076 | C23 | 1 | 8 | yes | — |
| 138 | #4076 | C23 | 1 | 8 | yes | — |
| 139 | #4076 | C23 | 1 | 8 | yes | — |
| 140 | #4075 | C23 | 1 | 8 | yes | — |
| 141 | #4075 | C23 | 1 | 32 | yes | — |
| 142 | #4075 | C23 | 1 | 8 | yes | — |
| 143 | #4075 | C23 | 1 | 16 | yes | — |
| 144 | C4×C22⋊D5 | C23 | 1 | 16 | yes | — |
| 145 | C4×C22⋊D5 | C23 | 1 | 32 | yes | — |
| 146 | C4×C22⋊D5 | C23 | 1 | 32 | yes | — |
| 147 | C4×C22⋊D5 | C23 | 1 | 16 | yes | — |
| 148 | C4×C22⋊D5 | C23 | 1 | 16 | yes | — |
| 149 | C4×C22⋊D5 | C23 | 1 | 16 | yes | — |
| 150 | C2×#685 | C23 | 1 | 8 | yes | — |
| 151 | #4072 | C23 | 1 | 4 | yes | — |
| 152 | #4072 | C23 | 1 | 16 | yes | — |
| 153 | #4072 | C23 | 1 | 4 | yes | — |
| 154 | #4072 | C23 | 1 | 4 | yes | — |
| 155 | #4072 | C23 | 1 | 4 | yes | — |
| 156 | C2×C4⋊Dic5 | C23 | 1 | 4 | yes | — |
| 157 | #4070 | C23 | 1 | 8 | yes | — |
| 158 | #4070 | C23 | 1 | 16 | yes | — |
| 159 | #4070 | C23 | 1 | 16 | yes | — |
| 160 | #4070 | C23 | 1 | 8 | yes | — |
| 161 | #4070 | C23 | 1 | 8 | yes | — |
| 162 | #4070 | C23 | 1 | 8 | yes | — |
| 163 | C2×#683 | C23 | 1 | 8 | yes | — |
| 164 | C2×C4×Dic5 | C23 | 1 | 4 | yes | — |
| 165 | #4044 | C23 | 1 | 32 | yes | complemented |
| 166 | #4043 | C23 | 1 | 16 | yes | complemented |
| 167 | #4042 | C23 | 1 | 32 | yes | complemented |
| 168 | #4041 | C23 | 1 | 16 | yes | complemented |
| 169 | #4040 | C23 | 1 | 32 | yes | complemented |
| 170 | #4039 | C23 | 1 | 16 | yes | complemented |
| 171 | #4038 | C23 | 1 | 16 | yes | complemented |
| 172 | D5×C4⋊C4 | C23 | 1 | 16 | yes | complemented |
| 173 | #4036 | C23 | 1 | 16 | yes | complemented |
| 174 | #4035 | C23 | 1 | 32 | yes | complemented |
| 175 | #4034 | C23 | 1 | 16 | yes | complemented |
| 176 | #4033 | C23 | 1 | 16 | yes | complemented |
| 177 | #4032 | C23 | 1 | 16 | yes | — |
| 178 | #4031 | C23 | 1 | 32 | yes | — |
| 179 | #4030 | C23 | 1 | 32 | yes | — |
| 180 | #4029 | C23 | 1 | 32 | yes | — |
| 181 | #4028 | C23 | 1 | 16 | yes | — |
| 182 | #4027 | C23 | 1 | 32 | yes | — |
| 183 | D5×C22⋊C4 | C23 | 1 | 16 | yes | — |
| 184 | #4025 | C23 | 1 | 32 | yes | — |
| 185 | #4024 | C23 | 1 | 32 | yes | — |
| 186 | #4023 | C23 | 1 | 16 | yes | — |
| 187 | #4022 | C23 | 1 | 32 | yes | complemented |
| 188 | #4021 | C23 | 1 | 8 | yes | complemented |
| 189 | #4021 | C23 | 1 | 16 | yes | complemented |
| 190 | #4020 | C23 | 1 | 4 | yes | complemented |
| 191 | C4×D20 | C23 | 1 | 16 | yes | complemented |
| 192 | C4×D20 | C23 | 1 | 16 | yes | complemented |
| 193 | C4×D20 | C23 | 1 | 16 | yes | complemented |
| 194 | #4018 | C23 | 1 | 16 | yes | complemented |
| 195 | #4018 | C23 | 1 | 32 | yes | complemented |
| 196 | C42×D5 | C23 | 1 | 16 | yes | complemented |
| 197 | #4016 | C23 | 1 | 8 | yes | complemented |
| 198 | #4016 | C23 | 1 | 16 | yes | complemented |
| 199 | #4015 | C23 | 1 | 4 | yes | complemented |
| 200 | #4015 | C23 | 1 | 8 | yes | complemented |
| 201 | C4×Dic10 | C23 | 1 | 16 | yes | complemented |
| 202 | C4×Dic10 | C23 | 1 | 16 | yes | complemented |
| 203 | C4×Dic10 | C23 | 1 | 16 | yes | complemented |
| 204 | #3495 | — | 5 | 8 | no | — |
| 205 | #3494 | — | 5 | 8 | no | — |
| 206 | #3493 | — | 5 | 4 | no | — |
| 207 | #3492 | — | 5 | 4 | no | — |
| 208 | #3491 | — | 5 | 4 | no | — |
| 209 | #3490 | — | 5 | 4 | no | — |
| 210 | #3475 | — | 5 | 16 | no | — |
| 211 | #3458 | — | 5 | 1 | no | — |
| 212 | #3455 | — | 5 | 4 | no | — |
| 213 | #3449 | — | 5 | 1 | no | — |
| 214 | #3444 | — | 5 | 4 | no | — |
| 215 | C2×#525 | — | 5 | 2 | no | — |
| 216 | #3428 | — | 5 | 2 | no | — |
| 217 | C22×#117 | D5 | 1 | 1 | yes | characteristic, complemented |
| 218 | C24×C5 | — | 2 | 4 | no | — |
| 219 | C24×C5 | — | 4 | 4 | no | — |
| 220 | C24×C5 | C24 | 1 | 1 | yes | characteristic |
| 221 | C24×C5 | C24 | 1 | 4 | yes | — |
| 222 | C24×C5 | C24 | 1 | 1 | yes | characteristic |
| 223 | C24×C5 | C24 | 1 | 1 | yes | characteristic |
| 224 | C23×D5 | C24 | 1 | 4 | yes | — |
| 225 | C22×C4×C5 | — | 2 | 4 | no | — |
| 226 | C22×C4×C5 | — | 2 | 16 | no | — |
| 227 | C22×C4×C5 | — | 2 | 16 | no | — |
| 228 | C22×C4×C5 | — | 2 | 4 | no | — |
| 229 | C22×C4×C5 | — | 2 | 4 | no | — |
| 230 | C22×C4×C5 | — | 2 | 4 | no | — |
| 231 | C22×C4×C5 | — | 2 | 4 | no | — |
| 232 | C22×C4×C5 | — | 4 | 8 | no | — |
| 233 | C22×C4×C5 | #41 | 1 | 8 | yes | complemented |
| 234 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 235 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 236 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 237 | C22×C4×C5 | C24 | 1 | 8 | yes | — |
| 238 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 239 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 240 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 241 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 242 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 243 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 244 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 245 | C22×C4×C5 | C24 | 1 | 8 | yes | — |
| 246 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 247 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 248 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 249 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 250 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 251 | C2×C22⋊D5 | — | 2 | 16 | no | — |
| 252 | C2×C22⋊D5 | — | 4 | 16 | no | — |
| 253 | C2×C22⋊D5 | C24 | 1 | 8 | yes | — |
| 254 | C2×C22⋊D5 | C24 | 1 | 8 | yes | — |
| 255 | C2×C22⋊D5 | C24 | 1 | 16 | yes | — |
| 256 | C2×C22⋊D5 | C24 | 1 | 16 | yes | — |
| 257 | C22×Dic5 | C24 | 1 | 4 | yes | — |
| 258 | C22×Dic5 | C24 | 1 | 8 | yes | — |
| 259 | #709 | — | 2 | 16 | no | — |
| 260 | #709 | — | 2 | 16 | no | — |
| 261 | #709 | — | 2 | 16 | no | — |
| 262 | #709 | — | 2 | 16 | no | — |
| 263 | #709 | — | 4 | 32 | no | — |
| 264 | C2×D20 | — | 2 | 8 | no | — |
| 265 | C2×D20 | C24 | 1 | 4 | yes | — |
| 266 | C2×D20 | C24 | 1 | 4 | yes | — |
| 267 | C2×D20 | C24 | 1 | 16 | yes | — |
| 268 | C2×C4×D5 | — | 2 | 16 | no | — |
| 269 | C2×C4×D5 | C24 | 1 | 8 | yes | — |
| 270 | C2×C4×D5 | C24 | 1 | 8 | yes | — |
| 271 | C2×C4×D5 | C24 | 1 | 32 | yes | — |
| 272 | C2×Dic10 | — | 2 | 8 | no | — |
| 273 | C2×Dic10 | C24 | 1 | 4 | yes | — |
| 274 | C2×Dic10 | C24 | 1 | 4 | yes | — |
| 275 | C2×Dic10 | C24 | 1 | 16 | yes | — |
| 276 | C5×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 277 | C5×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 278 | C5×C4⋊C4 | C24 | 1 | 16 | yes | — |
| 279 | C5×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 280 | C5×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 281 | C5×C22⋊C4 | C24 | 1 | 16 | yes | — |
| 282 | C42×C5 | C24 | 1 | 4 | yes | — |
| 283 | C42×C5 | C24 | 1 | 4 | yes | — |
| 284 | C42×C5 | C24 | 1 | 8 | yes | — |
| 285 | C42×C5 | C24 | 1 | 4 | yes | — |
| 286 | C42×C5 | C24 | 1 | 8 | yes | — |
| 287 | C42×C5 | C24 | 1 | 4 | yes | — |
| 288 | C22⋊Dic5 | C24 | 1 | 8 | yes | — |
| 289 | C22⋊Dic5 | C24 | 1 | 16 | yes | — |
| 290 | C22⋊Dic5 | C24 | 1 | 8 | yes | — |
| 291 | C22⋊Dic5 | C24 | 1 | 16 | yes | — |
| 292 | #685 | C24 | 1 | 16 | yes | — |
| 293 | #685 | C24 | 1 | 32 | yes | — |
| 294 | #685 | C24 | 1 | 32 | yes | — |
| 295 | #685 | C24 | 1 | 16 | yes | — |
| 296 | C4⋊Dic5 | C24 | 1 | 8 | yes | — |
| 297 | C4⋊Dic5 | C24 | 1 | 16 | yes | — |
| 298 | C4⋊Dic5 | C24 | 1 | 16 | yes | — |
| 299 | C4⋊Dic5 | C24 | 1 | 8 | yes | — |
| 300 | #683 | C24 | 1 | 16 | yes | — |
| 301 | #683 | C24 | 1 | 32 | yes | — |
| 302 | #683 | C24 | 1 | 32 | yes | — |
| 303 | #683 | C24 | 1 | 16 | yes | — |
| 304 | C4×Dic5 | C24 | 1 | 8 | yes | — |
| 305 | C4×Dic5 | C24 | 1 | 32 | yes | — |
| 306 | C4×Dic5 | C24 | 1 | 8 | yes | — |
| 307 | C22×#41 | — | 5 | 2 | no | — |
| 308 | C24×C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 309 | #556 | — | 5 | 16 | no | — |
| 310 | #555 | — | 5 | 16 | no | — |
| 311 | #554 | — | 5 | 16 | no | — |
| 312 | #553 | — | 5 | 16 | no | — |
| 313 | #553 | — | 5 | 16 | no | — |
| 314 | #552 | — | 5 | 16 | no | — |
| 315 | #552 | — | 5 | 32 | no | — |
| 316 | #552 | — | 5 | 16 | no | — |
| 317 | #551 | — | 5 | 32 | no | — |
| 318 | #551 | — | 5 | 32 | no | — |
| 319 | #547 | — | 5 | 16 | no | — |
| 320 | #546 | — | 5 | 32 | no | — |
| 321 | #544 | — | 5 | 8 | no | — |
| 322 | #544 | — | 5 | 4 | no | — |
| 323 | #543 | — | 5 | 4 | no | — |
| 324 | #542 | — | 5 | 16 | no | — |
| 325 | #541 | — | 5 | 8 | no | — |
| 326 | #540 | — | 5 | 8 | no | — |
| 327 | #539 | — | 5 | 16 | no | — |
| 328 | #538 | — | 5 | 16 | no | — |
| 329 | #537 | — | 5 | 4 | no | — |
| 330 | #536 | — | 5 | 4 | no | — |
| 331 | #535 | — | 5 | 4 | no | — |
| 332 | #534 | — | 5 | 4 | no | — |
| 333 | #533 | — | 5 | 8 | no | — |
| 334 | #533 | — | 5 | 4 | no | — |
| 335 | #533 | — | 5 | 8 | no | — |
| 336 | #532 | — | 5 | 4 | no | — |
| 337 | #532 | — | 5 | 8 | no | — |
| 338 | #529 | — | 5 | 32 | no | — |
| 339 | #529 | — | 5 | 16 | no | — |
| 340 | #529 | — | 5 | 16 | no | — |
| 341 | #529 | — | 5 | 16 | no | — |
| 342 | #525 | — | 5 | 8 | no | — |
| 343 | #525 | — | 5 | 8 | no | — |
| 344 | #525 | — | 5 | 4 | no | — |
| 345 | #525 | — | 5 | 4 | no | — |
| 346 | #525 | — | 5 | 4 | no | — |
| 347 | #525 | — | 5 | 4 | no | — |
| 348 | #525 | — | 5 | 16 | no | — |
| 349 | #525 | — | 5 | 8 | no | — |
| 350 | C2×#123 | — | 5 | 4 | no | — |
| 351 | C2×C22⋊Q8 | — | 5 | 4 | no | — |
| 352 | C2×#121 | — | 5 | 4 | no | — |
| 353 | C2×#120 | — | 5 | 4 | no | — |
| 354 | #520 | — | 5 | 8 | no | — |
| 355 | #520 | — | 5 | 8 | no | — |
| 356 | #519 | — | 5 | 4 | no | — |
| 357 | #518 | — | 5 | 4 | no | — |
| 358 | #518 | — | 5 | 8 | no | — |
| 359 | C4×#41 | — | 5 | 8 | no | — |
| 360 | C4×#41 | — | 5 | 8 | no | — |
| 361 | C4×#41 | — | 5 | 16 | no | — |
| 362 | C2×C4×D4 | — | 5 | 8 | no | — |
| 363 | C2×#117 | — | 5 | 2 | no | — |
| 364 | C2×#117 | — | 5 | 8 | no | — |
| 365 | C2×#117 | C2×D5 | 1 | 1 | yes | characteristic |
| 366 | C2×#117 | C2×D5 | 1 | 1 | yes | characteristic |
| 367 | C2×#117 | C2×D5 | 1 | 2 | yes | — |
| 368 | C2×#117 | C2×D5 | 1 | 2 | yes | complemented |
| 369 | C2×#117 | C2×D5 | 1 | 8 | yes | complemented |
| 370 | C2×#117 | C2×D5 | 1 | 2 | yes | complemented |
| 371 | C2×#117 | C2×D5 | 1 | 8 | yes | complemented |
| 372 | C22×C4⋊C4 | C2×D5 | 1 | 2 | yes | complemented |
| 373 | C22×C22⋊C4 | C2×D5 | 1 | 2 | yes | — |
| 374 | C22×C42 | C2×D5 | 1 | 2 | yes | complemented |
| 375 | C23×C5 | — | 2 | 2 | no | — |
| 376 | C23×C5 | — | 2 | 4 | no | — |
| 377 | C23×C5 | — | 2 | 8 | no | — |
| 378 | C23×C5 | — | 2 | 2 | no | — |
| 379 | C23×C5 | — | 2 | 8 | no | — |
| 380 | C23×C5 | — | 4 | 2 | no | — |
| 381 | C23×C5 | — | 4 | 4 | no | — |
| 382 | C23×C5 | — | 4 | 2 | no | — |
| 383 | C23×C5 | — | 4 | 16 | no | — |
| 384 | C23×C5 | C2×#41 | 1 | 4 | yes | — |
| 385 | C23×C5 | C25 | 1 | 2 | yes | — |
| 386 | C23×C5 | C25 | 1 | 1 | yes | characteristic |
| 387 | C23×C5 | C25 | 1 | 2 | yes | — |
| 388 | C23×C5 | C25 | 1 | 2 | yes | — |
| 389 | C22×D5 | — | 2 | 8 | no | — |
| 390 | C22×D5 | — | 4 | 8 | no | — |
| 391 | C22×D5 | C25 | 1 | 8 | yes | — |
| 392 | C2×C4×C5 | — | 2 | 8 | no | — |
| 393 | C2×C4×C5 | — | 2 | 2 | no | — |
| 394 | C2×C4×C5 | — | 2 | 2 | no | — |
| 395 | C2×C4×C5 | — | 2 | 16 | no | — |
| 396 | C2×C4×C5 | — | 2 | 4 | no | — |
| 397 | C2×C4×C5 | — | 2 | 4 | no | — |
| 398 | C2×C4×C5 | — | 2 | 8 | no | — |
| 399 | C2×C4×C5 | — | 2 | 8 | no | — |
| 400 | C2×C4×C5 | — | 2 | 4 | no | — |
| 401 | C2×C4×C5 | — | 2 | 4 | no | — |
| 402 | C2×C4×C5 | — | 4 | 4 | no | — |
| 403 | C2×C4×C5 | — | 4 | 8 | no | — |
| 404 | C2×C4×C5 | — | 4 | 4 | no | — |
| 405 | C2×C4×C5 | C2×#41 | 1 | 8 | yes | — |
| 406 | C2×C4×C5 | C2×#41 | 1 | 8 | yes | — |
| 407 | C2×C4×C5 | C2×#41 | 1 | 4 | yes | — |
| 408 | C2×C4×C5 | C2×#41 | 1 | 4 | yes | — |
| 409 | C2×C4×C5 | C25 | 1 | 8 | yes | — |
| 410 | C2×C4×C5 | C25 | 1 | 2 | yes | — |
| 411 | C2×C4×C5 | C25 | 1 | 2 | yes | — |
| 412 | C2×C4×C5 | C25 | 1 | 8 | yes | — |
| 413 | C2×C4×C5 | C25 | 1 | 2 | yes | — |
| 414 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 415 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 416 | C22⋊D5 | — | 2 | 16 | no | — |
| 417 | C22⋊D5 | — | 2 | 16 | no | — |
| 418 | C22⋊D5 | — | 2 | 32 | no | — |
| 419 | C22⋊D5 | — | 4 | 16 | no | — |
| 420 | C2×Dic5 | — | 2 | 8 | no | — |
| 421 | C2×Dic5 | — | 4 | 8 | no | — |
| 422 | C2×Dic5 | C25 | 1 | 8 | yes | — |
| 423 | C2×Dic5 | C25 | 1 | 16 | yes | — |
| 424 | D20 | — | 2 | 8 | no | — |
| 425 | D20 | — | 2 | 8 | no | — |
| 426 | D20 | — | 4 | 16 | no | — |
| 427 | C4×D5 | — | 2 | 16 | no | — |
| 428 | C4×D5 | — | 2 | 16 | no | — |
| 429 | C4×D5 | — | 4 | 32 | no | — |
| 430 | Dic10 | — | 2 | 8 | no | — |
| 431 | Dic10 | — | 2 | 8 | no | — |
| 432 | Dic10 | — | 4 | 16 | no | — |
| 433 | C25 | C22×D5 | 1 | 1 | yes | characteristic |
| 434 | C2×#41 | — | 5 | 4 | no | — |
| 435 | C2×#41 | — | 5 | 4 | no | — |
| 436 | C2×#41 | — | 5 | 4 | no | — |
| 437 | C2×#41 | — | 5 | 4 | no | — |
| 438 | C2×#41 | — | 5 | 16 | no | — |
| 439 | C2×#41 | — | 10 | 16 | no | — |
| 440 | C22×Q8 | — | 5 | 2 | no | — |
| 441 | C22×D4 | — | 5 | 4 | no | — |
| 442 | C22×D4 | — | 5 | 8 | no | — |
| 443 | C22×D4 | — | 5 | 2 | no | — |
| 444 | C23×C4 | — | 2 | 8 | no | — |
| 445 | C23×C4 | — | 5 | 4 | no | — |
| 446 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 447 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 448 | C23×C4 | C22×D5 | 1 | 4 | yes | — |
| 449 | C23×C4 | C22×D5 | 1 | 4 | yes | — |
| 450 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 451 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 452 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 453 | C23×C4 | C22×D5 | 1 | 4 | yes | — |
| 454 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 455 | C4⋊Q8 | — | 5 | 16 | no | — |
| 456 | C4⋊Q8 | — | 5 | 4 | no | — |
| 457 | C4⋊Q8 | — | 5 | 8 | no | — |
| 458 | #127 | — | 5 | 4 | no | — |
| 459 | #126 | — | 5 | 32 | no | — |
| 460 | #126 | — | 5 | 32 | no | — |
| 461 | #126 | — | 5 | 32 | no | — |
| 462 | #125 | — | 5 | 32 | no | — |
| 463 | #125 | — | 5 | 16 | no | — |
| 464 | #125 | — | 5 | 8 | no | — |
| 465 | #125 | — | 5 | 16 | no | — |
| 466 | #124 | — | 5 | 32 | no | — |
| 467 | #124 | — | 5 | 8 | no | — |
| 468 | #124 | — | 5 | 16 | no | — |
| 469 | #123 | — | 5 | 8 | no | — |
| 470 | #123 | — | 5 | 8 | no | — |
| 471 | #123 | — | 5 | 16 | no | — |
| 472 | #123 | — | 5 | 32 | no | — |
| 473 | #123 | — | 5 | 32 | no | — |
| 474 | #123 | — | 5 | 16 | no | — |
| 475 | #123 | — | 5 | 32 | no | — |
| 476 | C22⋊Q8 | — | 5 | 8 | no | — |
| 477 | C22⋊Q8 | — | 5 | 8 | no | — |
| 478 | C22⋊Q8 | — | 5 | 8 | no | — |
| 479 | C22⋊Q8 | — | 5 | 8 | no | — |
| 480 | C22⋊Q8 | — | 5 | 16 | no | — |
| 481 | C22⋊Q8 | — | 5 | 16 | no | — |
| 482 | C22⋊Q8 | — | 5 | 16 | no | — |
| 483 | C22⋊Q8 | — | 5 | 32 | no | — |
| 484 | C22⋊Q8 | — | 5 | 32 | no | — |
| 485 | #121 | — | 5 | 8 | no | — |
| 486 | #121 | — | 5 | 8 | no | — |
| 487 | #121 | — | 5 | 8 | no | — |
| 488 | #121 | — | 5 | 8 | no | — |
| 489 | #121 | — | 5 | 16 | no | — |
| 490 | #121 | — | 5 | 16 | no | — |
| 491 | #121 | — | 5 | 16 | no | — |
| 492 | #121 | — | 5 | 32 | no | — |
| 493 | #120 | — | 5 | 8 | no | — |
| 494 | #120 | — | 5 | 8 | no | — |
| 495 | #120 | — | 5 | 16 | no | — |
| 496 | #120 | — | 5 | 16 | no | — |
| 497 | C4×Q8 | — | 5 | 16 | no | — |
| 498 | C4×Q8 | — | 5 | 16 | no | — |
| 499 | C4×Q8 | — | 5 | 16 | no | — |
| 500 | C4×Q8 | — | 5 | 16 | no | — |
| 501 | C4×D4 | — | 5 | 16 | no | — |
| 502 | C4×D4 | — | 5 | 16 | no | — |
| 503 | C4×D4 | — | 5 | 16 | no | — |
| 504 | C4×D4 | — | 5 | 16 | no | — |
| 505 | C4×D4 | — | 5 | 32 | no | — |
| 506 | C4×D4 | — | 5 | 32 | no | — |
| 507 | C4×D4 | — | 5 | 16 | no | — |
| 508 | C4×D4 | — | 5 | 32 | no | — |
| 509 | C4×D4 | — | 5 | 16 | no | — |
| 510 | C4×D4 | — | 5 | 16 | no | — |
| 511 | C4×D4 | — | 5 | 16 | no | — |
| 512 | #117 | — | 5 | 4 | no | — |
| 513 | #117 | — | 5 | 4 | no | — |
| 514 | #117 | — | 5 | 4 | no | — |
| 515 | #117 | — | 5 | 4 | no | — |
| 516 | #117 | — | 5 | 16 | no | — |
| 517 | #117 | — | 5 | 16 | no | — |
| 518 | #117 | — | 5 | 16 | no | — |
| 519 | #117 | — | 5 | 16 | no | — |
| 520 | #117 | — | 5 | 32 | no | — |
| 521 | #117 | C22×D5 | 1 | 4 | yes | — |
| 522 | #117 | C22×D5 | 1 | 4 | yes | — |
| 523 | #117 | C22×D5 | 1 | 4 | yes | — |
| 524 | #117 | C22×D5 | 1 | 4 | yes | — |
| 525 | #117 | C22×D5 | 1 | 16 | yes | — |
| 526 | #117 | C22×D5 | 1 | 8 | yes | — |
| 527 | #117 | C22×D5 | 1 | 8 | yes | — |
| 528 | #117 | C22×D5 | 1 | 8 | yes | — |
| 529 | #117 | C22×D5 | 1 | 8 | yes | — |
| 530 | C2×C4⋊C4 | — | 5 | 4 | no | — |
| 531 | C2×C4⋊C4 | — | 5 | 8 | no | — |
| 532 | C2×C4⋊C4 | — | 5 | 16 | no | — |
| 533 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 534 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 535 | C2×C4⋊C4 | C22×D5 | 1 | 4 | yes | — |
| 536 | C2×C4⋊C4 | C22×D5 | 1 | 8 | yes | — |
| 537 | C2×C4⋊C4 | C22×D5 | 1 | 8 | yes | — |
| 538 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 539 | C2×C22⋊C4 | — | 5 | 8 | no | — |
| 540 | C2×C22⋊C4 | — | 5 | 8 | no | — |
| 541 | C2×C22⋊C4 | — | 5 | 16 | no | — |
| 542 | C2×C22⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 543 | C2×C22⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 544 | C2×C22⋊C4 | C22×D5 | 1 | 4 | yes | — |
| 545 | C2×C22⋊C4 | C22×D5 | 1 | 16 | yes | — |
| 546 | C2×C42 | — | 5 | 4 | no | — |
| 547 | C2×C42 | — | 5 | 16 | no | — |
| 548 | C2×C42 | C22×D5 | 1 | 2 | yes | — |
| 549 | C2×C42 | C22×D5 | 1 | 4 | yes | — |
| 550 | C2×C42 | C22×D5 | 1 | 2 | yes | — |
| 551 | C2×C42 | C22×D5 | 1 | 8 | yes | — |
| 552 | C2×C42 | C22×D5 | 1 | 8 | yes | — |
| 553 | C22×C5 | — | 2 | 8 | no | — |
| 554 | C22×C5 | — | 2 | 2 | no | — |
| 555 | C22×C5 | — | 2 | 4 | no | — |
| 556 | C22×C5 | — | 2 | 2 | no | — |
| 557 | C22×C5 | — | 2 | 2 | no | — |
| 558 | C22×C5 | — | 2 | 2 | no | — |
| 559 | C22×C5 | — | 2 | 4 | no | — |
| 560 | C22×C5 | — | 4 | 4 | no | — |
| 561 | C22×C5 | — | 4 | 16 | no | — |
| 562 | C22×C5 | — | 4 | 4 | no | — |
| 563 | C22×C5 | C22×#41 | 1 | 4 | yes | — |
| 564 | C22×C5 | C22×#41 | 1 | 2 | yes | — |
| 565 | C22×C5 | #585 | 1 | 4 | yes | — |
| 566 | C22×C5 | C26 | 1 | 1 | yes | characteristic |
| 567 | C2×D5 | — | 2 | 8 | no | — |
| 568 | C2×D5 | — | 2 | 16 | no | — |
| 569 | C2×D5 | — | 8 | 8 | no | — |
| 570 | C4×C5 | — | 2 | 2 | no | — |
| 571 | C4×C5 | — | 2 | 2 | no | — |
| 572 | C4×C5 | — | 2 | 8 | no | — |
| 573 | C4×C5 | — | 2 | 8 | no | — |
| 574 | C4×C5 | C22×#41 | 1 | 2 | yes | — |
| 575 | C4×C5 | C22×#41 | 1 | 4 | yes | — |
| 576 | C4×C5 | C22×#41 | 1 | 2 | yes | — |
| 577 | Dic5 | — | 2 | 8 | no | — |
| 578 | Dic5 | — | 2 | 16 | no | — |
| 579 | C24 | — | 2 | 4 | no | — |
| 580 | C24 | — | 4 | 4 | no | — |
| 581 | C24 | — | 5 | 4 | no | — |
| 582 | C24 | C23×D5 | 1 | 1 | yes | characteristic |
| 583 | C24 | C23×D5 | 1 | 4 | yes | — |
| 584 | C24 | C23×D5 | 1 | 1 | yes | characteristic |
| 585 | C24 | C23×D5 | 1 | 1 | yes | characteristic |
| 586 | #41 | — | 10 | 16 | no | — |
| 587 | #41 | — | 10 | 16 | no | — |
| 588 | #41 | — | 10 | 16 | no | — |
| 589 | #41 | — | 10 | 16 | no | — |
| 590 | #41 | — | 20 | 32 | no | — |
| 591 | C2×Q8 | — | 5 | 4 | no | — |
| 592 | C2×Q8 | — | 5 | 4 | no | — |
| 593 | C2×Q8 | — | 5 | 16 | no | — |
| 594 | C2×Q8 | — | 10 | 8 | no | — |
| 595 | C2×D4 | — | 5 | 8 | no | — |
| 596 | C2×D4 | — | 5 | 8 | no | — |
| 597 | C2×D4 | — | 5 | 16 | no | — |
| 598 | C2×D4 | — | 5 | 16 | no | — |
| 599 | C2×D4 | — | 5 | 4 | no | — |
| 600 | C2×D4 | — | 5 | 4 | no | — |
| 601 | C2×D4 | — | 5 | 16 | no | — |
| 602 | C2×D4 | — | 10 | 16 | no | — |
| 603 | C2×D4 | — | 10 | 8 | no | — |
| 604 | C2×D4 | — | 20 | 16 | no | — |
| 605 | C22×C4 | — | 2 | 4 | no | — |
| 606 | C22×C4 | — | 2 | 16 | no | — |
| 607 | C22×C4 | — | 2 | 16 | no | — |
| 608 | C22×C4 | — | 2 | 4 | no | — |
| 609 | C22×C4 | — | 2 | 4 | no | — |
| 610 | C22×C4 | — | 2 | 4 | no | — |
| 611 | C22×C4 | — | 2 | 4 | no | — |
| 612 | C22×C4 | — | 4 | 8 | no | — |
| 613 | C22×C4 | — | 5 | 4 | no | — |
| 614 | C22×C4 | — | 5 | 8 | no | — |
| 615 | C22×C4 | — | 5 | 8 | no | — |
| 616 | C22×C4 | — | 5 | 8 | no | — |
| 617 | C22×C4 | — | 5 | 32 | no | — |
| 618 | C22×C4 | — | 10 | 16 | no | — |
| 619 | C22×C4 | #709 | 1 | 8 | yes | complemented |
| 620 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 621 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 622 | C22×C4 | C23×D5 | 1 | 8 | yes | — |
| 623 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 624 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 625 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 626 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 627 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 628 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 629 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 630 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 631 | C22×C4 | C23×D5 | 1 | 8 | yes | — |
| 632 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 633 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 634 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 635 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 636 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 637 | C4⋊C4 | — | 5 | 8 | no | — |
| 638 | C4⋊C4 | — | 5 | 8 | no | — |
| 639 | C4⋊C4 | — | 5 | 32 | no | — |
| 640 | C4⋊C4 | — | 5 | 16 | no | — |
| 641 | C4⋊C4 | — | 5 | 16 | no | — |
| 642 | C4⋊C4 | — | 5 | 32 | no | — |
| 643 | C4⋊C4 | — | 5 | 16 | no | — |
| 644 | C4⋊C4 | — | 5 | 16 | no | — |
| 645 | C4⋊C4 | C23×D5 | 1 | 8 | yes | — |
| 646 | C4⋊C4 | C23×D5 | 1 | 8 | yes | — |
| 647 | C4⋊C4 | C23×D5 | 1 | 16 | yes | — |
| 648 | C22⋊C4 | — | 5 | 8 | no | — |
| 649 | C22⋊C4 | — | 5 | 8 | no | — |
| 650 | C22⋊C4 | — | 5 | 16 | no | — |
| 651 | C22⋊C4 | — | 5 | 16 | no | — |
| 652 | C22⋊C4 | — | 5 | 32 | no | — |
| 653 | C22⋊C4 | — | 5 | 16 | no | — |
| 654 | C22⋊C4 | — | 5 | 16 | no | — |
| 655 | C22⋊C4 | — | 5 | 32 | no | — |
| 656 | C22⋊C4 | C23×D5 | 1 | 8 | yes | — |
| 657 | C22⋊C4 | C23×D5 | 1 | 8 | yes | — |
| 658 | C22⋊C4 | C23×D5 | 1 | 16 | yes | — |
| 659 | C42 | — | 5 | 32 | no | — |
| 660 | C42 | — | 5 | 8 | no | — |
| 661 | C42 | — | 5 | 8 | no | — |
| 662 | C42 | C23×D5 | 1 | 8 | yes | — |
| 663 | C42 | C23×D5 | 1 | 4 | yes | — |
| 664 | C42 | C23×D5 | 1 | 8 | yes | — |
| 665 | C42 | C23×D5 | 1 | 4 | yes | — |
| 666 | C42 | C23×D5 | 1 | 4 | yes | — |
| 667 | C42 | C23×D5 | 1 | 4 | yes | — |
| 668 | C2×C5 | — | 2 | 4 | no | — |
| 669 | C2×C5 | — | 2 | 2 | no | — |
| 670 | C2×C5 | — | 2 | 4 | no | — |
| 671 | C2×C5 | — | 4 | 2 | no | — |
| 672 | C2×C5 | C23×#41 | 1 | 1 | yes | characteristic |
| 673 | C2×C5 | C2×#585 | 1 | 2 | yes | — |
| 674 | D5 | — | 4 | 8 | no | — |
| 675 | C23 | — | 2 | 2 | no | — |
| 676 | C23 | — | 2 | 4 | no | — |
| 677 | C23 | — | 2 | 8 | no | — |
| 678 | C23 | — | 2 | 2 | no | — |
| 679 | C23 | — | 2 | 8 | no | — |
| 680 | C23 | — | 4 | 2 | no | — |
| 681 | C23 | — | 4 | 4 | no | — |
| 682 | C23 | — | 4 | 2 | no | — |
| 683 | C23 | — | 4 | 16 | no | — |
| 684 | C23 | — | 5 | 8 | no | — |
| 685 | C23 | — | 10 | 8 | no | — |
| 686 | C23 | — | 20 | 8 | no | — |
| 687 | C23 | C2×#709 | 1 | 4 | yes | — |
| 688 | C23 | C24×D5 | 1 | 2 | yes | — |
| 689 | C23 | C24×D5 | 1 | 1 | yes | characteristic |
| 690 | C23 | C24×D5 | 1 | 2 | yes | — |
| 691 | C23 | C24×D5 | 1 | 2 | yes | — |
| 692 | Q8 | — | 10 | 8 | no | — |
| 693 | Q8 | — | 10 | 8 | no | — |
| 694 | Q8 | — | 20 | 16 | no | — |
| 695 | D4 | — | 10 | 16 | no | — |
| 696 | D4 | — | 10 | 16 | no | — |
| 697 | D4 | — | 10 | 32 | no | — |
| 698 | D4 | — | 10 | 8 | no | — |
| 699 | D4 | — | 10 | 8 | no | — |
| 700 | D4 | — | 20 | 16 | no | — |
| 701 | D4 | — | 20 | 16 | no | — |
| 702 | C2×C4 | — | 2 | 8 | no | — |
| 703 | C2×C4 | — | 2 | 2 | no | — |
| 704 | C2×C4 | — | 2 | 2 | no | — |
| 705 | C2×C4 | — | 2 | 16 | no | — |
| 706 | C2×C4 | — | 2 | 4 | no | — |
| 707 | C2×C4 | — | 2 | 4 | no | — |
| 708 | C2×C4 | — | 2 | 8 | no | — |
| 709 | C2×C4 | — | 2 | 8 | no | — |
| 710 | C2×C4 | — | 2 | 4 | no | — |
| 711 | C2×C4 | — | 2 | 4 | no | — |
| 712 | C2×C4 | — | 4 | 4 | no | — |
| 713 | C2×C4 | — | 4 | 8 | no | — |
| 714 | C2×C4 | — | 4 | 4 | no | — |
| 715 | C2×C4 | — | 5 | 8 | no | — |
| 716 | C2×C4 | — | 5 | 16 | no | — |
| 717 | C2×C4 | — | 10 | 8 | no | — |
| 718 | C2×C4 | — | 10 | 16 | no | — |
| 719 | C2×C4 | — | 10 | 16 | no | — |
| 720 | C2×C4 | — | 20 | 32 | no | — |
| 721 | C2×C4 | — | 20 | 8 | no | — |
| 722 | C2×C4 | C2×#709 | 1 | 8 | yes | — |
| 723 | C2×C4 | C2×#709 | 1 | 8 | yes | — |
| 724 | C2×C4 | C2×#709 | 1 | 4 | yes | — |
| 725 | C2×C4 | C2×#709 | 1 | 4 | yes | — |
| 726 | C2×C4 | C24×D5 | 1 | 8 | yes | — |
| 727 | C2×C4 | C24×D5 | 1 | 2 | yes | — |
| 728 | C2×C4 | C24×D5 | 1 | 8 | yes | — |
| 729 | C2×C4 | C24×D5 | 1 | 2 | yes | — |
| 730 | C2×C4 | C24×D5 | 1 | 2 | yes | — |
| 731 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 732 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 733 | C5 | #62814 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 734 | C22 | — | 2 | 8 | no | — |
| 735 | C22 | — | 2 | 2 | no | — |
| 736 | C22 | — | 2 | 2 | no | — |
| 737 | C22 | — | 2 | 2 | no | — |
| 738 | C22 | — | 2 | 4 | no | — |
| 739 | C22 | — | 2 | 2 | no | — |
| 740 | C22 | — | 2 | 4 | no | — |
| 741 | C22 | — | 4 | 4 | no | — |
| 742 | C22 | — | 4 | 16 | no | — |
| 743 | C22 | — | 4 | 4 | no | — |
| 744 | C22 | — | 10 | 8 | no | — |
| 745 | C22 | — | 10 | 16 | no | — |
| 746 | C22 | — | 40 | 8 | no | — |
| 747 | C22 | C22×#709 | 1 | 4 | yes | — |
| 748 | C22 | C22×#709 | 1 | 2 | yes | — |
| 749 | C22 | #66283 | 1 | 4 | yes | — |
| 750 | C22 | C25×D5 | 1 | 1 | yes | characteristic |
| 751 | C4 | — | 2 | 2 | no | — |
| 752 | C4 | — | 2 | 2 | no | — |
| 753 | C4 | — | 2 | 8 | no | — |
| 754 | C4 | — | 2 | 8 | no | — |
| 755 | C4 | — | 10 | 8 | no | — |
| 756 | C4 | — | 10 | 16 | no | — |
| 757 | C4 | C22×#709 | 1 | 2 | yes | — |
| 758 | C4 | C22×#709 | 1 | 4 | yes | — |
| 759 | C4 | C22×#709 | 1 | 2 | yes | — |
| 760 | C2 | — | 2 | 2 | no | — |
| 761 | C2 | — | 2 | 4 | no | — |
| 762 | C2 | — | 2 | 4 | no | — |
| 763 | C2 | — | 4 | 2 | no | — |
| 764 | C2 | — | 20 | 8 | no | — |
| 765 | C2 | C23×#709 | 1 | 1 | yes | characteristic |
| 766 | C2 | C2×#66283 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta