Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1128 conjugacy classes of subgroups.
The subgroup lattice has 766 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10617777 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10615148 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10610726 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10610723 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C5×#1912 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10602661 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10602456 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10601203 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10600917 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10600912 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10599507 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10599505 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10599504 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10599500 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #66283 | C22 | 1 | 1 | yes | characteristic |
| 17 | C5×#536 | C22 | 1 | 1 | yes | characteristic |
| 18 | C5×#519 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#4097 | C22 | 1 | 1 | yes | characteristic |
| 20 | #66150 | C22 | 1 | 1 | yes | characteristic |
| 21 | #66150 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#4090 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#4055 | C22 | 1 | 1 | yes | characteristic |
| 24 | #66079 | C22 | 1 | 1 | yes | characteristic |
| 25 | #65917 | — | 2 | 2 | no | — |
| 26 | #65912 | — | 2 | 2 | no | — |
| 27 | #65902 | — | 2 | 2 | no | — |
| 28 | #65901 | — | 2 | 2 | no | — |
| 29 | #65865 | — | 2 | 4 | no | — |
| 30 | #65860 | C22 | 1 | 1 | yes | characteristic |
| 31 | #65856 | C22 | 1 | 1 | yes | characteristic |
| 32 | #65851 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #65850 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C5×#421 | C22 | 1 | 1 | yes | characteristic |
| 35 | C5×#421 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×C5×#101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #65529 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#3969 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#3968 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C2×#3957 | C22 | 1 | 1 | yes | characteristic |
| 41 | #65421 | C22 | 1 | 1 | yes | characteristic |
| 42 | #65409 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #65342 | — | 2 | 4 | no | — |
| 44 | #65295 | C22 | 1 | 1 | yes | characteristic |
| 45 | #65295 | C22 | 1 | 1 | yes | characteristic |
| 46 | #65294 | C22 | 1 | 1 | yes | characteristic |
| 47 | #65294 | C22 | 1 | 1 | yes | characteristic |
| 48 | #65293 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #65115 | — | 2 | 2 | no | — |
| 50 | #65114 | — | 2 | 2 | no | — |
| 51 | #65110 | — | 2 | 2 | no | — |
| 52 | D5×#104 | — | 2 | 2 | no | — |
| 53 | C5×H(3,ℤ/4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C5×H(3,ℤ/4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #64779 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #64776 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #64775 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #64752 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #64751 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #64751 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #23992 | — | 5 | 1 | no | maximal, Sylow |
| 62 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 64 | #4150 | — | 2 | 1 | no | — |
| 65 | #4150 | — | 2 | 1 | no | — |
| 66 | #4149 | — | 2 | 1 | no | — |
| 67 | #4149 | — | 2 | 1 | no | — |
| 68 | D5×#41 | — | 2 | 2 | no | — |
| 69 | D5×#41 | — | 4 | 1 | no | — |
| 70 | #4147 | — | 2 | 1 | no | — |
| 71 | #4144 | — | 2 | 1 | no | — |
| 72 | #4144 | — | 2 | 2 | no | — |
| 73 | C2×#709 | — | 4 | 1 | no | — |
| 74 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 79 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 80 | C5×#124 | — | 2 | 1 | no | — |
| 81 | C5×#123 | — | 2 | 2 | no | — |
| 82 | C5×C22⋊Q8 | — | 4 | 1 | no | — |
| 83 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 84 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 85 | C5×#117 | — | 2 | 2 | no | — |
| 86 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 87 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 88 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 89 | #4097 | — | 2 | 2 | no | — |
| 90 | #4097 | — | 4 | 1 | no | — |
| 91 | #4093 | — | 2 | 1 | no | — |
| 92 | #4093 | — | 2 | 1 | no | — |
| 93 | #4092 | — | 2 | 2 | no | — |
| 94 | #4092 | — | 4 | 1 | no | — |
| 95 | #4090 | — | 2 | 2 | no | — |
| 96 | #4090 | — | 2 | 1 | no | — |
| 97 | #4090 | — | 2 | 1 | no | — |
| 98 | #4090 | — | 2 | 1 | no | — |
| 99 | #4090 | — | 2 | 1 | no | — |
| 100 | C2×#689 | — | 2 | 1 | no | — |
| 101 | C2×#687 | — | 2 | 1 | no | — |
| 102 | #4075 | — | 2 | 2 | no | — |
| 103 | #4075 | D4 | 1 | 4 | yes | — |
| 104 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 105 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×#683 | — | 2 | 2 | no | — |
| 107 | C2×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 110 | #4055 | — | 2 | 2 | no | — |
| 111 | #4055 | — | 4 | 1 | no | — |
| 112 | #4053 | — | 4 | 1 | no | — |
| 113 | D5×M16 | — | 2 | 2 | no | — |
| 114 | C2×Dic20 | — | 2 | 1 | no | — |
| 115 | C2×#677 | — | 2 | 1 | no | — |
| 116 | #4047 | — | 4 | 1 | no | — |
| 117 | #4044 | — | 2 | 4 | no | — |
| 118 | #4043 | — | 2 | 2 | no | — |
| 119 | #4042 | — | 2 | 4 | no | — |
| 120 | #4039 | — | 2 | 1 | no | — |
| 121 | #4036 | — | 2 | 1 | no | — |
| 122 | #4035 | — | 2 | 4 | no | — |
| 123 | #4035 | — | 2 | 4 | no | — |
| 124 | #4034 | — | 2 | 1 | no | — |
| 125 | #4033 | — | 2 | 2 | no | — |
| 126 | #4033 | — | 2 | 1 | no | — |
| 127 | #4032 | — | 2 | 2 | no | — |
| 128 | #4027 | — | 2 | 2 | no | — |
| 129 | #4024 | — | 2 | 2 | no | — |
| 130 | #4023 | — | 2 | 2 | no | — |
| 131 | #4022 | — | 2 | 4 | no | — |
| 132 | #4021 | D4 | 1 | 2 | yes | — |
| 133 | #4018 | — | 2 | 4 | no | — |
| 134 | #4018 | D4 | 1 | 2 | yes | — |
| 135 | C42×D5 | D4 | 1 | 2 | yes | — |
| 136 | #4016 | — | 2 | 4 | no | — |
| 137 | #4015 | D4 | 1 | 2 | yes | — |
| 138 | C4×Dic10 | — | 2 | 4 | no | — |
| 139 | C4×Dic10 | — | 2 | 2 | no | — |
| 140 | C4×Dic10 | — | 2 | 2 | no | — |
| 141 | C5×#104 | — | 2 | 2 | no | — |
| 142 | C5×#104 | — | 2 | 2 | no | — |
| 143 | C5×#101 | — | 4 | 1 | no | — |
| 144 | #3969 | — | 2 | 1 | no | — |
| 145 | #3969 | — | 2 | 1 | no | — |
| 146 | #3968 | — | 4 | 1 | no | — |
| 147 | #3966 | — | 2 | 2 | no | — |
| 148 | #3957 | — | 2 | 1 | no | — |
| 149 | #3957 | — | 2 | 1 | no | — |
| 150 | #3956 | — | 2 | 1 | no | — |
| 151 | #3955 | — | 2 | 1 | no | — |
| 152 | #3948 | — | 4 | 1 | no | — |
| 153 | #3942 | — | 4 | 1 | no | — |
| 154 | #3938 | — | 2 | 2 | no | — |
| 155 | #3938 | — | 2 | 2 | no | — |
| 156 | #3937 | — | 2 | 2 | no | — |
| 157 | #3937 | — | 2 | 2 | no | — |
| 158 | #3509 | — | 5 | 1 | no | — |
| 159 | #3028 | — | 5 | 1 | no | — |
| 160 | #3022 | — | 5 | 1 | no | — |
| 161 | #2901 | — | 5 | 1 | no | — |
| 162 | #2031 | — | 5 | 1 | no | — |
| 163 | #2031 | — | 5 | 1 | no | — |
| 164 | #2005 | — | 5 | 1 | no | — |
| 165 | #2005 | — | 5 | 1 | no | — |
| 166 | #1915 | — | 5 | 1 | no | — |
| 167 | #1912 | — | 5 | 1 | no | — |
| 168 | #1912 | D5 | 1 | 1 | yes | characteristic, complemented |
| 169 | #1909 | — | 5 | 1 | no | — |
| 170 | #1905 | — | 5 | 1 | no | — |
| 171 | #1905 | — | 5 | 1 | no | — |
| 172 | #1827 | — | 5 | 1 | no | — |
| 173 | C5×#41 | — | 2 | 1 | no | — |
| 174 | C5×#41 | — | 2 | 1 | no | — |
| 175 | C5×#41 | — | 2 | 1 | no | — |
| 176 | C5×#41 | — | 2 | 1 | no | — |
| 177 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 178 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 179 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 180 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 181 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 182 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 183 | C2×C5×Q8 | #41 | 1 | 1 | yes | characteristic |
| 184 | C2×C5×D4 | — | 2 | 1 | no | — |
| 185 | C2×C5×D4 | #41 | 1 | 1 | yes | characteristic |
| 186 | C22×C4×C5 | — | 2 | 1 | no | — |
| 187 | C22×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 188 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 189 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 190 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 191 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 192 | C22×Dic5 | — | 2 | 1 | no | — |
| 193 | C22×Dic5 | — | 2 | 1 | no | — |
| 194 | #713 | — | 2 | 2 | no | — |
| 195 | #713 | — | 4 | 1 | no | — |
| 196 | Q8×D5 | — | 2 | 2 | no | — |
| 197 | Q8×D5 | — | 4 | 1 | no | — |
| 198 | #711 | — | 2 | 2 | no | — |
| 199 | #711 | — | 4 | 1 | no | — |
| 200 | #711 | — | 4 | 2 | no | — |
| 201 | #711 | — | 4 | 2 | no | — |
| 202 | D4×D5 | — | 2 | 2 | no | — |
| 203 | D4×D5 | — | 4 | 1 | no | — |
| 204 | D4×D5 | — | 4 | 2 | no | — |
| 205 | D4×D5 | — | 4 | 2 | no | — |
| 206 | #709 | — | 2 | 1 | no | — |
| 207 | #709 | — | 2 | 1 | no | — |
| 208 | #709 | — | 2 | 1 | no | — |
| 209 | #709 | — | 2 | 1 | no | — |
| 210 | #709 | — | 2 | 1 | no | — |
| 211 | #709 | — | 2 | 1 | no | — |
| 212 | #709 | — | 2 | 1 | no | — |
| 213 | #709 | — | 2 | 1 | no | — |
| 214 | #709 | — | 4 | 1 | no | — |
| 215 | #709 | — | 4 | 1 | no | — |
| 216 | #709 | — | 4 | 2 | no | — |
| 217 | #709 | — | 4 | 2 | no | — |
| 218 | C2×D20 | — | 4 | 1 | no | — |
| 219 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C2×D20 | #41 | 1 | 1 | yes | characteristic |
| 221 | C2×C4×D5 | — | 2 | 2 | no | — |
| 222 | C2×C4×D5 | — | 2 | 1 | no | — |
| 223 | C2×C4×D5 | — | 4 | 2 | no | — |
| 224 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 225 | C2×Dic10 | — | 2 | 1 | no | — |
| 226 | C2×Dic10 | — | 2 | 1 | no | — |
| 227 | C2×Dic10 | — | 2 | 1 | no | — |
| 228 | C2×Dic10 | — | 2 | 1 | no | — |
| 229 | C2×Dic10 | — | 2 | 2 | no | — |
| 230 | C2×Dic10 | — | 2 | 1 | no | — |
| 231 | C2×Dic10 | — | 4 | 1 | no | — |
| 232 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 233 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C2×Dic10 | #41 | 1 | 1 | yes | characteristic |
| 235 | C5×M16 | — | 2 | 1 | no | — |
| 236 | C5×M16 | — | 2 | 1 | no | — |
| 237 | C5×M16 | — | 2 | 1 | no | — |
| 238 | C5×M16 | — | 2 | 1 | no | — |
| 239 | C2×C5×C8 | — | 2 | 1 | no | — |
| 240 | C2×C5×C8 | — | 2 | 1 | no | — |
| 241 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 242 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 243 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 244 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 245 | C5×C4⋊C4 | — | 4 | 2 | no | — |
| 246 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 247 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 248 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 249 | C5×C22⋊C4 | — | 4 | 2 | no | — |
| 250 | C42×C5 | — | 2 | 4 | no | — |
| 251 | C42×C5 | — | 2 | 1 | no | — |
| 252 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 253 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 254 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 255 | C22⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 256 | #689 | — | 4 | 2 | no | — |
| 257 | #687 | — | 4 | 2 | no | — |
| 258 | #685 | — | 2 | 4 | no | — |
| 259 | #685 | — | 2 | 4 | no | — |
| 260 | #685 | — | 2 | 2 | no | — |
| 261 | #685 | — | 4 | 2 | no | — |
| 262 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 263 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 264 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 265 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 266 | #683 | — | 2 | 4 | no | — |
| 267 | #683 | — | 2 | 2 | no | — |
| 268 | #683 | — | 2 | 4 | no | — |
| 269 | #683 | — | 2 | 2 | no | — |
| 270 | #683 | — | 2 | 4 | no | — |
| 271 | #683 | — | 2 | 4 | no | — |
| 272 | #683 | — | 2 | 2 | no | — |
| 273 | #683 | — | 4 | 2 | no | — |
| 274 | C4×Dic5 | — | 2 | 4 | no | — |
| 275 | C4×Dic5 | — | 2 | 1 | no | — |
| 276 | C4×Dic5 | — | 2 | 1 | no | — |
| 277 | C4×Dic5 | — | 2 | 2 | no | — |
| 278 | C4×Dic5 | — | 2 | 1 | no | — |
| 279 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | #681 | — | 2 | 1 | no | — |
| 282 | #681 | — | 2 | 1 | no | — |
| 283 | #681 | — | 2 | 1 | no | — |
| 284 | #681 | — | 2 | 1 | no | — |
| 285 | C2×#168 | — | 2 | 1 | no | — |
| 286 | C2×#168 | — | 2 | 1 | no | — |
| 287 | Dic20 | — | 4 | 2 | no | — |
| 288 | #677 | — | 4 | 2 | no | — |
| 289 | #676 | — | 4 | 2 | no | — |
| 290 | C8×D5 | — | 4 | 2 | no | — |
| 291 | #585 | — | 5 | 1 | no | — |
| 292 | C2×#137 | — | 5 | 1 | no | — |
| 293 | C2×#137 | — | 5 | 1 | no | — |
| 294 | #568 | — | 5 | 1 | no | — |
| 295 | #557 | — | 10 | 2 | no | — |
| 296 | #556 | — | 10 | 2 | no | — |
| 297 | #552 | — | 10 | 4 | no | — |
| 298 | #541 | — | 10 | 2 | no | — |
| 299 | #536 | — | 5 | 1 | no | — |
| 300 | #536 | — | 5 | 1 | no | — |
| 301 | #536 | — | 5 | 1 | no | — |
| 302 | #536 | C2×D5 | 1 | 1 | yes | characteristic |
| 303 | #533 | — | 5 | 1 | no | — |
| 304 | #533 | — | 10 | 2 | no | — |
| 305 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 306 | #519 | — | 5 | 1 | no | — |
| 307 | #519 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 308 | C4×#41 | — | 5 | 1 | no | — |
| 309 | #458 | — | 10 | 4 | no | — |
| 310 | #456 | — | 10 | 2 | no | — |
| 311 | #455 | — | 10 | 2 | no | — |
| 312 | #421 | — | 5 | 1 | no | — |
| 313 | #421 | — | 5 | 1 | no | — |
| 314 | #421 | — | 10 | 2 | no | — |
| 315 | #421 | C2×D5 | 1 | 1 | yes | characteristic |
| 316 | #421 | C2×D5 | 1 | 1 | yes | characteristic |
| 317 | C2×#104 | — | 5 | 1 | no | — |
| 318 | C2×#104 | — | 5 | 1 | no | — |
| 319 | C2×#104 | — | 10 | 2 | no | — |
| 320 | #419 | — | 5 | 1 | no | — |
| 321 | #419 | — | 5 | 1 | no | — |
| 322 | #413 | — | 5 | 1 | no | — |
| 323 | C2×#101 | — | 5 | 1 | no | — |
| 324 | C2×#101 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 325 | #410 | — | 5 | 1 | no | — |
| 326 | #410 | — | 5 | 1 | no | — |
| 327 | #410 | — | 5 | 1 | no | — |
| 328 | #344 | — | 5 | 1 | no | — |
| 329 | #344 | — | 5 | 1 | no | — |
| 330 | #339 | — | 5 | 1 | no | — |
| 331 | #339 | — | 5 | 1 | no | — |
| 332 | H(3,ℤ/4) | — | 5 | 1 | no | — |
| 333 | H(3,ℤ/4) | — | 5 | 1 | no | — |
| 334 | H(3,ℤ/4) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 335 | H(3,ℤ/4) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 336 | C23×C5 | — | 2 | 1 | no | — |
| 337 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 338 | C22×D5 | — | 2 | 1 | no | — |
| 339 | C22×D5 | — | 4 | 2 | no | — |
| 340 | C22×D5 | #120 | 1 | 2 | yes | — |
| 341 | C5×Q8 | — | 2 | 1 | no | — |
| 342 | C5×Q8 | — | 2 | 1 | no | — |
| 343 | C5×Q8 | — | 4 | 1 | no | — |
| 344 | C5×Q8 | — | 4 | 1 | no | — |
| 345 | C5×Q8 | — | 4 | 1 | no | — |
| 346 | C5×Q8 | — | 4 | 1 | no | — |
| 347 | C5×D4 | — | 2 | 1 | no | — |
| 348 | C5×D4 | — | 2 | 1 | no | — |
| 349 | C5×D4 | — | 4 | 1 | no | — |
| 350 | C5×D4 | — | 4 | 1 | no | — |
| 351 | C2×C4×C5 | — | 2 | 2 | no | — |
| 352 | C2×C4×C5 | — | 2 | 2 | no | — |
| 353 | C2×C4×C5 | — | 2 | 2 | no | — |
| 354 | C2×C4×C5 | — | 2 | 2 | no | — |
| 355 | C2×C4×C5 | — | 2 | 2 | no | — |
| 356 | C2×C4×C5 | — | 2 | 1 | no | — |
| 357 | C2×C4×C5 | — | 4 | 1 | no | — |
| 358 | C2×C4×C5 | — | 4 | 1 | no | — |
| 359 | C2×C4×C5 | — | 4 | 1 | no | — |
| 360 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 361 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 363 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 364 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 365 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 366 | C22⋊D5 | — | 2 | 2 | no | — |
| 367 | C22⋊D5 | — | 2 | 2 | no | — |
| 368 | C22⋊D5 | — | 4 | 2 | no | — |
| 369 | C22⋊D5 | — | 4 | 2 | no | — |
| 370 | C22⋊D5 | — | 4 | 1 | no | — |
| 371 | C22⋊D5 | — | 4 | 1 | no | — |
| 372 | C2×Dic5 | — | 2 | 1 | no | — |
| 373 | C2×Dic5 | — | 2 | 2 | no | — |
| 374 | C2×Dic5 | — | 2 | 2 | no | — |
| 375 | C2×Dic5 | — | 2 | 1 | no | — |
| 376 | C2×Dic5 | — | 2 | 1 | no | — |
| 377 | C2×Dic5 | — | 4 | 2 | no | — |
| 378 | C2×Dic5 | — | 4 | 2 | no | — |
| 379 | C2×Dic5 | — | 4 | 1 | no | — |
| 380 | C2×Dic5 | — | 4 | 1 | no | — |
| 381 | C2×Dic5 | — | 4 | 1 | no | — |
| 382 | C2×Dic5 | #120 | 1 | 2 | yes | — |
| 383 | D20 | — | 2 | 1 | no | — |
| 384 | D20 | — | 2 | 1 | no | — |
| 385 | D20 | — | 2 | 1 | no | — |
| 386 | D20 | — | 2 | 1 | no | — |
| 387 | D20 | — | 4 | 2 | no | — |
| 388 | C4×D5 | — | 2 | 2 | no | — |
| 389 | C4×D5 | — | 2 | 2 | no | — |
| 390 | C4×D5 | — | 4 | 4 | no | — |
| 391 | C4×D5 | — | 4 | 2 | no | — |
| 392 | C4×D5 | — | 4 | 2 | no | — |
| 393 | C4×D5 | — | 4 | 1 | no | — |
| 394 | C4×D5 | — | 4 | 1 | no | — |
| 395 | Dic10 | — | 2 | 1 | no | — |
| 396 | Dic10 | — | 2 | 1 | no | — |
| 397 | Dic10 | — | 2 | 1 | no | — |
| 398 | Dic10 | — | 2 | 2 | no | — |
| 399 | Dic10 | — | 2 | 1 | no | — |
| 400 | Dic10 | — | 2 | 2 | no | — |
| 401 | Dic10 | — | 4 | 4 | no | — |
| 402 | Dic10 | — | 4 | 2 | no | — |
| 403 | Dic10 | — | 4 | 1 | no | — |
| 404 | Dic10 | — | 4 | 1 | no | — |
| 405 | C5×C8 | — | 4 | 1 | no | — |
| 406 | C5×C8 | — | 4 | 1 | no | — |
| 407 | #168 | — | 4 | 1 | no | — |
| 408 | #168 | — | 4 | 1 | no | — |
| 409 | 2−1+4 | — | 10 | 1 | no | — |
| 410 | 2−1+4 | — | 10 | 1 | no | — |
| 411 | 2−1+4 | — | 10 | 1 | no | — |
| 412 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 413 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 414 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 415 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 416 | C2×#41 | — | 5 | 1 | no | — |
| 417 | C2×#41 | — | 5 | 1 | no | — |
| 418 | C2×#41 | — | 10 | 2 | no | — |
| 419 | C2×#41 | — | 20 | 1 | no | — |
| 420 | C2×#41 | — | 20 | 1 | no | — |
| 421 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 422 | C22×Q8 | — | 5 | 1 | no | — |
| 423 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 424 | #137 | — | 10 | 2 | no | — |
| 425 | #137 | — | 10 | 2 | no | — |
| 426 | #137 | — | 20 | 1 | no | — |
| 427 | #137 | — | 20 | 1 | no | — |
| 428 | C2×Q16 | — | 10 | 1 | no | — |
| 429 | C2×Q16 | — | 10 | 1 | no | — |
| 430 | C2×SD16 | — | 10 | 1 | no | — |
| 431 | C2×SD16 | — | 10 | 1 | no | — |
| 432 | #131 | — | 20 | 1 | no | — |
| 433 | #131 | — | 20 | 1 | no | — |
| 434 | C2×M16 | — | 5 | 1 | no | — |
| 435 | C2×M16 | — | 5 | 1 | no | — |
| 436 | C2×M16 | — | 10 | 2 | no | — |
| 437 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 438 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 439 | C4⋊Q8 | — | 2 | 1 | no | — |
| 440 | C4⋊Q8 | — | 5 | 2 | no | — |
| 441 | C4⋊Q8 | — | 10 | 1 | no | — |
| 442 | C4⋊Q8 | — | 10 | 1 | no | — |
| 443 | C4⋊Q8 | — | 10 | 1 | no | — |
| 444 | C4⋊Q8 | — | 10 | 2 | no | — |
| 445 | C4⋊Q8 | — | 10 | 1 | no | — |
| 446 | C4⋊Q8 | — | 10 | 1 | no | — |
| 447 | #126 | — | 10 | 4 | no | — |
| 448 | #126 | — | 10 | 4 | no | — |
| 449 | #125 | — | 10 | 4 | no | — |
| 450 | #125 | — | 10 | 1 | no | — |
| 451 | #125 | — | 10 | 4 | no | — |
| 452 | #125 | — | 10 | 4 | no | — |
| 453 | #124 | — | 2 | 1 | no | — |
| 454 | #124 | — | 5 | 2 | no | — |
| 455 | #124 | — | 10 | 1 | no | — |
| 456 | #124 | — | 10 | 1 | no | — |
| 457 | #123 | — | 2 | 2 | no | — |
| 458 | #123 | — | 5 | 4 | no | — |
| 459 | #123 | — | 10 | 2 | no | — |
| 460 | #123 | — | 10 | 2 | no | — |
| 461 | C22⋊Q8 | — | 4 | 1 | no | — |
| 462 | C22⋊Q8 | — | 10 | 2 | no | — |
| 463 | C22⋊Q8 | — | 10 | 2 | no | — |
| 464 | C22⋊Q8 | — | 10 | 4 | no | — |
| 465 | C22⋊Q8 | — | 10 | 2 | no | — |
| 466 | C22⋊Q8 | — | 20 | 1 | no | — |
| 467 | C4×Q8 | — | 2 | 2 | no | — |
| 468 | C4×Q8 | — | 2 | 2 | no | — |
| 469 | C4×Q8 | — | 10 | 4 | no | — |
| 470 | C4×Q8 | — | 10 | 1 | no | — |
| 471 | C4×Q8 | — | 10 | 2 | no | — |
| 472 | C4×Q8 | — | 10 | 2 | no | — |
| 473 | C4×Q8 | — | 10 | 2 | no | — |
| 474 | C4×D4 | — | 10 | 2 | no | — |
| 475 | C4×D4 | — | 10 | 1 | no | — |
| 476 | #117 | — | 2 | 2 | no | — |
| 477 | #117 | — | 5 | 2 | no | — |
| 478 | #117 | — | 5 | 1 | no | — |
| 479 | #117 | — | 5 | 1 | no | — |
| 480 | #117 | — | 10 | 4 | no | — |
| 481 | #117 | — | 10 | 2 | no | — |
| 482 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 483 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 484 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 485 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 486 | C2×C42 | — | 5 | 1 | no | — |
| 487 | C2×C42 | — | 5 | 2 | no | — |
| 488 | #104 | — | 2 | 2 | no | — |
| 489 | #104 | — | 2 | 2 | no | — |
| 490 | #104 | — | 10 | 1 | no | — |
| 491 | #104 | — | 10 | 1 | no | — |
| 492 | #104 | — | 10 | 1 | no | — |
| 493 | #104 | — | 10 | 1 | no | — |
| 494 | #104 | — | 10 | 2 | no | — |
| 495 | #104 | — | 10 | 2 | no | — |
| 496 | #103 | — | 20 | 1 | no | — |
| 497 | #103 | — | 20 | 1 | no | — |
| 498 | #101 | — | 4 | 1 | no | — |
| 499 | #101 | — | 10 | 1 | no | — |
| 500 | #101 | — | 20 | 1 | no | — |
| 501 | #100 | — | 10 | 1 | no | — |
| 502 | #99 | — | 10 | 2 | no | — |
| 503 | #99 | — | 10 | 2 | no | — |
| 504 | #99 | — | 10 | 2 | no | — |
| 505 | C22×C5 | — | 4 | 1 | no | — |
| 506 | C22×C5 | — | 4 | 1 | no | — |
| 507 | C22×C5 | — | 8 | 1 | no | — |
| 508 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 509 | C22×C5 | #546 | 1 | 1 | yes | characteristic |
| 510 | C22×C5 | #546 | 1 | 1 | yes | characteristic |
| 511 | C2×D5 | — | 2 | 2 | no | — |
| 512 | C2×D5 | — | 4 | 2 | no | — |
| 513 | C2×D5 | — | 4 | 1 | no | — |
| 514 | C2×D5 | — | 8 | 1 | no | — |
| 515 | C2×D5 | — | 16 | 2 | no | — |
| 516 | C4×C5 | — | 4 | 2 | no | — |
| 517 | C4×C5 | — | 4 | 2 | no | — |
| 518 | C4×C5 | — | 4 | 1 | no | — |
| 519 | C4×C5 | — | 4 | 2 | no | — |
| 520 | C4×C5 | — | 8 | 1 | no | — |
| 521 | C4×C5 | #525 | 1 | 1 | yes | characteristic |
| 522 | C4×C5 | #535 | 1 | 1 | yes | characteristic |
| 523 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 524 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 525 | Dic5 | — | 2 | 2 | no | — |
| 526 | Dic5 | — | 2 | 2 | no | — |
| 527 | Dic5 | — | 4 | 2 | no | — |
| 528 | Dic5 | — | 4 | 1 | no | — |
| 529 | Dic5 | — | 4 | 1 | no | — |
| 530 | Dic5 | — | 4 | 2 | no | — |
| 531 | Dic5 | — | 8 | 1 | no | — |
| 532 | #41 | — | 2 | 1 | no | — |
| 533 | #41 | — | 2 | 1 | no | — |
| 534 | #41 | — | 2 | 1 | no | — |
| 535 | #41 | — | 2 | 1 | no | — |
| 536 | #41 | — | 10 | 1 | no | — |
| 537 | #41 | — | 10 | 1 | no | — |
| 538 | #41 | — | 10 | 1 | no | — |
| 539 | #41 | — | 10 | 1 | no | — |
| 540 | #41 | — | 10 | 2 | no | — |
| 541 | #41 | — | 10 | 2 | no | — |
| 542 | #41 | — | 10 | 1 | no | — |
| 543 | #41 | — | 10 | 1 | no | — |
| 544 | #41 | — | 10 | 1 | no | — |
| 545 | #41 | — | 10 | 1 | no | — |
| 546 | #41 | — | 20 | 2 | no | — |
| 547 | #41 | — | 20 | 2 | no | — |
| 548 | #41 | — | 20 | 1 | no | — |
| 549 | #41 | — | 20 | 1 | no | — |
| 550 | #41 | — | 20 | 2 | no | — |
| 551 | #41 | — | 20 | 2 | no | — |
| 552 | #41 | — | 20 | 1 | no | — |
| 553 | #41 | — | 20 | 1 | no | — |
| 554 | C2×Q8 | — | 2 | 1 | no | — |
| 555 | C2×Q8 | — | 2 | 1 | no | — |
| 556 | C2×Q8 | — | 2 | 1 | no | — |
| 557 | C2×Q8 | — | 2 | 1 | no | — |
| 558 | C2×Q8 | — | 2 | 1 | no | — |
| 559 | C2×Q8 | — | 2 | 1 | no | — |
| 560 | C2×Q8 | — | 5 | 1 | no | — |
| 561 | C2×Q8 | — | 5 | 2 | no | — |
| 562 | C2×Q8 | — | 5 | 1 | no | — |
| 563 | C2×Q8 | — | 10 | 2 | no | — |
| 564 | C2×Q8 | — | 10 | 1 | no | — |
| 565 | C2×Q8 | — | 10 | 2 | no | — |
| 566 | C2×Q8 | — | 10 | 1 | no | — |
| 567 | C2×Q8 | — | 10 | 1 | no | — |
| 568 | C2×Q8 | — | 10 | 1 | no | — |
| 569 | C2×Q8 | — | 10 | 1 | no | — |
| 570 | C2×Q8 | — | 20 | 1 | no | — |
| 571 | C2×Q8 | — | 20 | 1 | no | — |
| 572 | C2×Q8 | #709 | 1 | 1 | yes | characteristic |
| 573 | C2×D4 | — | 2 | 1 | no | — |
| 574 | C2×D4 | — | 5 | 2 | no | — |
| 575 | C2×D4 | — | 5 | 1 | no | — |
| 576 | C2×D4 | — | 5 | 1 | no | — |
| 577 | C2×D4 | — | 10 | 2 | no | — |
| 578 | C2×D4 | — | 10 | 1 | no | — |
| 579 | C2×D4 | — | 20 | 1 | no | — |
| 580 | C2×D4 | — | 20 | 1 | no | — |
| 581 | C2×D4 | — | 20 | 2 | no | — |
| 582 | C2×D4 | — | 20 | 2 | no | — |
| 583 | C2×D4 | — | 20 | 2 | no | — |
| 584 | C2×D4 | #709 | 1 | 1 | yes | characteristic |
| 585 | C22×C4 | — | 2 | 1 | no | — |
| 586 | C22×C4 | — | 5 | 2 | no | — |
| 587 | C22×C4 | — | 10 | 2 | no | — |
| 588 | C22×C4 | — | 10 | 1 | no | — |
| 589 | C22×C4 | — | 10 | 1 | no | — |
| 590 | C22×C4 | — | 10 | 1 | no | — |
| 591 | C22×C4 | — | 20 | 2 | no | — |
| 592 | C22×C4 | D4×D5 | 1 | 2 | yes | — |
| 593 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 594 | Q16 | — | 20 | 2 | no | — |
| 595 | Q16 | — | 20 | 2 | no | — |
| 596 | SD16 | — | 20 | 2 | no | — |
| 597 | SD16 | — | 20 | 2 | no | — |
| 598 | M16 | — | 2 | 1 | no | — |
| 599 | M16 | — | 2 | 1 | no | — |
| 600 | M16 | — | 2 | 1 | no | — |
| 601 | M16 | — | 2 | 1 | no | — |
| 602 | M16 | — | 10 | 1 | no | — |
| 603 | M16 | — | 10 | 1 | no | — |
| 604 | M16 | — | 10 | 1 | no | — |
| 605 | M16 | — | 10 | 1 | no | — |
| 606 | M16 | — | 20 | 2 | no | — |
| 607 | C2×C8 | — | 2 | 1 | no | — |
| 608 | C2×C8 | — | 2 | 1 | no | — |
| 609 | C2×C8 | — | 10 | 1 | no | — |
| 610 | C2×C8 | — | 10 | 1 | no | — |
| 611 | C2×C8 | — | 20 | 2 | no | — |
| 612 | C4⋊C4 | — | 2 | 4 | no | — |
| 613 | C4⋊C4 | — | 2 | 1 | no | — |
| 614 | C4⋊C4 | — | 2 | 1 | no | — |
| 615 | C4⋊C4 | — | 2 | 1 | no | — |
| 616 | C4⋊C4 | — | 4 | 2 | no | — |
| 617 | C4⋊C4 | — | 10 | 2 | no | — |
| 618 | C4⋊C4 | — | 10 | 4 | no | — |
| 619 | C4⋊C4 | — | 10 | 4 | no | — |
| 620 | C4⋊C4 | — | 10 | 4 | no | — |
| 621 | C4⋊C4 | — | 10 | 4 | no | — |
| 622 | C4⋊C4 | — | 10 | 2 | no | — |
| 623 | C4⋊C4 | — | 10 | 4 | no | — |
| 624 | C4⋊C4 | — | 10 | 2 | no | — |
| 625 | C4⋊C4 | — | 10 | 2 | no | — |
| 626 | C4⋊C4 | — | 10 | 1 | no | — |
| 627 | C4⋊C4 | — | 10 | 1 | no | — |
| 628 | C4⋊C4 | — | 20 | 2 | no | — |
| 629 | C22⋊C4 | — | 2 | 1 | no | — |
| 630 | C22⋊C4 | — | 2 | 1 | no | — |
| 631 | C22⋊C4 | — | 2 | 1 | no | — |
| 632 | C22⋊C4 | — | 4 | 2 | no | — |
| 633 | C22⋊C4 | — | 5 | 2 | no | — |
| 634 | C22⋊C4 | — | 10 | 2 | no | — |
| 635 | C22⋊C4 | — | 10 | 4 | no | — |
| 636 | C22⋊C4 | — | 10 | 4 | no | — |
| 637 | C22⋊C4 | — | 10 | 1 | no | — |
| 638 | C22⋊C4 | — | 20 | 2 | no | — |
| 639 | C42 | — | 2 | 4 | no | — |
| 640 | C42 | — | 2 | 1 | no | — |
| 641 | C42 | — | 5 | 1 | no | — |
| 642 | C42 | — | 5 | 1 | no | — |
| 643 | C42 | — | 10 | 2 | no | — |
| 644 | C42 | — | 10 | 4 | no | — |
| 645 | C42 | — | 10 | 1 | no | — |
| 646 | C42 | — | 10 | 1 | no | — |
| 647 | C42 | — | 10 | 1 | no | — |
| 648 | C42 | D4×D5 | 1 | 2 | yes | — |
| 649 | C42 | D4×D5 | 1 | 2 | yes | — |
| 650 | C2×C5 | — | 2 | 1 | no | — |
| 651 | C2×C5 | — | 2 | 1 | no | — |
| 652 | C2×C5 | — | 2 | 1 | no | — |
| 653 | C2×C5 | — | 8 | 1 | no | — |
| 654 | C2×C5 | #2404 | 1 | 1 | yes | characteristic |
| 655 | D5 | — | 4 | 2 | no | — |
| 656 | D5 | — | 8 | 1 | no | — |
| 657 | C23 | — | 2 | 1 | no | — |
| 658 | C23 | — | 5 | 2 | no | — |
| 659 | C23 | — | 10 | 1 | no | — |
| 660 | C23 | — | 20 | 2 | no | — |
| 661 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 662 | Q8 | — | 2 | 1 | no | — |
| 663 | Q8 | — | 2 | 1 | no | — |
| 664 | Q8 | — | 4 | 1 | no | — |
| 665 | Q8 | — | 4 | 1 | no | — |
| 666 | Q8 | — | 4 | 1 | no | — |
| 667 | Q8 | — | 4 | 1 | no | — |
| 668 | Q8 | — | 10 | 1 | no | — |
| 669 | Q8 | — | 10 | 1 | no | — |
| 670 | Q8 | — | 10 | 1 | no | — |
| 671 | Q8 | — | 10 | 2 | no | — |
| 672 | Q8 | — | 10 | 2 | no | — |
| 673 | Q8 | — | 10 | 1 | no | — |
| 674 | Q8 | — | 20 | 2 | no | — |
| 675 | Q8 | — | 20 | 4 | no | — |
| 676 | Q8 | — | 20 | 1 | no | — |
| 677 | Q8 | — | 20 | 1 | no | — |
| 678 | D4 | — | 2 | 1 | no | — |
| 679 | D4 | — | 2 | 1 | no | — |
| 680 | D4 | — | 4 | 1 | no | — |
| 681 | D4 | — | 4 | 1 | no | — |
| 682 | D4 | — | 10 | 2 | no | — |
| 683 | D4 | — | 10 | 2 | no | — |
| 684 | D4 | — | 10 | 1 | no | — |
| 685 | D4 | — | 10 | 1 | no | — |
| 686 | D4 | — | 10 | 1 | no | — |
| 687 | D4 | — | 10 | 1 | no | — |
| 688 | D4 | — | 20 | 2 | no | — |
| 689 | D4 | — | 20 | 2 | no | — |
| 690 | D4 | — | 20 | 2 | no | — |
| 691 | D4 | — | 20 | 1 | no | — |
| 692 | D4 | — | 20 | 1 | no | — |
| 693 | C2×C4 | — | 2 | 2 | no | — |
| 694 | C2×C4 | — | 2 | 1 | no | — |
| 695 | C2×C4 | — | 2 | 2 | no | — |
| 696 | C2×C4 | — | 2 | 2 | no | — |
| 697 | C2×C4 | — | 2 | 2 | no | — |
| 698 | C2×C4 | — | 2 | 2 | no | — |
| 699 | C2×C4 | — | 4 | 1 | no | — |
| 700 | C2×C4 | — | 4 | 1 | no | — |
| 701 | C2×C4 | — | 4 | 1 | no | — |
| 702 | C2×C4 | — | 5 | 2 | no | — |
| 703 | C2×C4 | — | 10 | 1 | no | — |
| 704 | C2×C4 | — | 10 | 2 | no | — |
| 705 | C2×C4 | — | 10 | 2 | no | — |
| 706 | C2×C4 | — | 10 | 1 | no | — |
| 707 | C2×C4 | — | 10 | 2 | no | — |
| 708 | C2×C4 | — | 10 | 2 | no | — |
| 709 | C2×C4 | — | 10 | 1 | no | — |
| 710 | C2×C4 | — | 20 | 4 | no | — |
| 711 | C2×C4 | — | 20 | 2 | no | — |
| 712 | C2×C4 | — | 20 | 2 | no | — |
| 713 | C2×C4 | — | 20 | 2 | no | — |
| 714 | C2×C4 | — | 20 | 2 | no | — |
| 715 | C2×C4 | — | 20 | 1 | no | — |
| 716 | C2×C4 | — | 20 | 1 | no | — |
| 717 | C2×C4 | — | 20 | 1 | no | — |
| 718 | C2×C4 | — | 20 | 1 | no | — |
| 719 | C2×C4 | — | 20 | 1 | no | — |
| 720 | C2×C4 | C2×#709 | 1 | 1 | yes | characteristic |
| 721 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 722 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 723 | C2×C4 | #4144 | 1 | 1 | yes | characteristic |
| 724 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 725 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 726 | C8 | — | 4 | 1 | no | — |
| 727 | C8 | — | 4 | 1 | no | — |
| 728 | C8 | — | 20 | 1 | no | — |
| 729 | C8 | — | 20 | 1 | no | — |
| 730 | C5 | #23992 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 731 | C22 | — | 4 | 1 | no | — |
| 732 | C22 | — | 4 | 1 | no | — |
| 733 | C22 | — | 8 | 1 | no | — |
| 734 | C22 | — | 10 | 2 | no | — |
| 735 | C22 | — | 20 | 2 | no | — |
| 736 | C22 | — | 20 | 1 | no | — |
| 737 | C22 | — | 40 | 1 | no | — |
| 738 | C22 | — | 80 | 2 | no | — |
| 739 | C22 | #65824 | 1 | 1 | yes | characteristic |
| 740 | C22 | D5×#120 | 1 | 1 | yes | characteristic |
| 741 | C22 | #65988 | 1 | 1 | yes | characteristic |
| 742 | C4 | — | 4 | 2 | no | — |
| 743 | C4 | — | 4 | 2 | no | — |
| 744 | C4 | — | 4 | 2 | no | — |
| 745 | C4 | — | 4 | 1 | no | — |
| 746 | C4 | — | 8 | 1 | no | — |
| 747 | C4 | — | 10 | 2 | no | — |
| 748 | C4 | — | 10 | 2 | no | — |
| 749 | C4 | — | 20 | 1 | no | — |
| 750 | C4 | — | 20 | 2 | no | — |
| 751 | C4 | — | 20 | 1 | no | — |
| 752 | C4 | — | 20 | 2 | no | — |
| 753 | C4 | — | 40 | 1 | no | — |
| 754 | C4 | #65881 | 1 | 1 | yes | characteristic |
| 755 | C4 | #65884 | 1 | 1 | yes | characteristic |
| 756 | C4 | #65941 | 1 | 1 | yes | characteristic |
| 757 | C4 | #65946 | 1 | 1 | yes | characteristic |
| 758 | C2 | — | 2 | 1 | no | — |
| 759 | C2 | — | 2 | 1 | no | — |
| 760 | C2 | — | 2 | 1 | no | — |
| 761 | C2 | — | 8 | 1 | no | — |
| 762 | C2 | — | 20 | 2 | no | — |
| 763 | C2 | — | 40 | 1 | no | — |
| 764 | C2 | #10606617 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10617777 | C2 | semidirect |
| 5. C5×#1912 | C2 | semidirect |
| 6. #10602661 | C2 | semidirect |
| 7. #10602456 | C2 | semidirect |
| 8. #10601203 | C2 | semidirect |
| 9. #10601187 | C2 | semidirect |
| 10. #10600917 | C2 | semidirect |
| 11. #10600912 | C2 | semidirect |
| 12. #10599507 | C2 | semidirect |
| 13. #10599505 | C2 | semidirect |
| 14. #10599504 | C2 | semidirect |
| 15. #10599500 | C2 | semidirect |
| 18. C5×#519 | C22 | semidirect |
| 22. C2×#4090 | C22 | semidirect |
| 32. #65851 | C22 | semidirect |
| 33. #65850 | C22 | semidirect |
| 36. C2×C5×#101 | C22 | semidirect |
| 39. C2×#3968 | C22 | semidirect |
| 42. #65409 | C22 | semidirect |
| 48. #65293 | C22 | semidirect |
| 53. C5×H(3,ℤ/4) | C22 | semidirect |
| 54. C5×H(3,ℤ/4) | C22 | semidirect |
| 55. #64779 | C22 | semidirect |
| 56. #64776 | C22 | semidirect |
| 57. #64775 | C22 | semidirect |
| 58. #64752 | C22 | semidirect |
| 59. #64751 | C22 | semidirect |
| 60. #64751 | C22 | semidirect |
| 168. #1912 | D5 | semidirect |
| 307. #519 | C2×D5 | semidirect |
| 324. C2×#101 | C2×D5 | semidirect |
| 334. H(3,ℤ/4) | C2×D5 | semidirect |
| 335. H(3,ℤ/4) | C2×D5 | semidirect |
| 730. C5 | #23992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617777 | 2 |
| #10615148 | 2 |
| #10610726 | 2 |
| #10610723 | 2 |
| C5×#1912 | 2 |
| #10602661 | 2 |
| #10602456 | 2 |
| #10601203 | 2 |
| #10601187 | 2 |
| #10600917 | 2 |
| #10600912 | 2 |
| #10599507 | 2 |
| #10599505 | 2 |
| #10599504 | 2 |
| #10599500 | 2 |
| #23992 | 5 |