Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1684 conjugacy classes of subgroups.
The subgroup lattice has 1034 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10619098 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10617775 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10615711 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10610725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10610690 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10610421 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×#1905 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10602455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10601140 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10600843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10599829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10599821 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10599506 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10599496 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #66283 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#4147 | C22 | 1 | 1 | yes | characteristic |
| 18 | C22×#713 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×C5×#137 | C22 | 1 | 1 | yes | characteristic |
| 20 | C5×#519 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #66162 | C22 | 1 | 1 | yes | characteristic |
| 22 | #66156 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#4095 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#4088 | C22 | 1 | 1 | yes | characteristic |
| 25 | #66113 | — | 2 | 2 | no | — |
| 26 | #66112 | — | 2 | 2 | no | — |
| 27 | #66111 | — | 2 | 2 | no | — |
| 28 | D5×#137 | — | 2 | 2 | no | — |
| 29 | #66100 | — | 2 | 2 | no | — |
| 30 | #66096 | — | 2 | 2 | no | — |
| 31 | #66082 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#4054 | C22 | 1 | 1 | yes | characteristic |
| 33 | #66079 | C22 | 1 | 1 | yes | characteristic |
| 34 | #65911 | — | 2 | 2 | no | — |
| 35 | #65911 | — | 2 | 2 | no | — |
| 36 | #65910 | — | 2 | 2 | no | — |
| 37 | #65910 | — | 2 | 2 | no | — |
| 38 | #65859 | — | 2 | 2 | no | — |
| 39 | #65859 | C22 | 1 | 1 | yes | characteristic |
| 40 | #65859 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #65858 | — | 2 | 2 | no | — |
| 42 | #65858 | C22 | 1 | 1 | yes | characteristic |
| 43 | #65858 | C22 | 1 | 1 | yes | characteristic |
| 44 | #65858 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C5×#421 | C22 | 1 | 1 | yes | characteristic |
| 46 | C5×#419 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C5×#410 | C22 | 1 | 1 | yes | characteristic |
| 48 | #65514 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #65476 | — | 2 | 2 | no | — |
| 50 | #65461 | — | 2 | 2 | no | — |
| 51 | #65428 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #65421 | C22 | 1 | 1 | yes | characteristic |
| 53 | #65420 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #65415 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #65415 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #65295 | C22 | 1 | 1 | yes | characteristic |
| 57 | #65295 | C22 | 1 | 1 | yes | characteristic |
| 58 | #65294 | C22 | 1 | 1 | yes | characteristic |
| 59 | #65294 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #65290 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #65116 | — | 2 | 2 | no | — |
| 62 | #65111 | — | 2 | 2 | no | — |
| 63 | #65100 | — | 2 | 2 | no | — |
| 64 | #65099 | — | 2 | 2 | no | — |
| 65 | #65031 | — | 2 | 2 | no | — |
| 66 | #65030 | — | 2 | 2 | no | — |
| 67 | C5×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C5×H(3,ℤ/4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #64753 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #64751 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #23884 | — | 5 | 1 | no | maximal, Sylow |
| 72 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 73 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 74 | #4150 | — | 2 | 1 | no | — |
| 75 | #4150 | — | 2 | 1 | no | — |
| 76 | #4149 | — | 2 | 1 | no | — |
| 77 | #4149 | — | 2 | 1 | no | — |
| 78 | D5×#41 | — | 2 | 2 | no | — |
| 79 | D5×#41 | — | 4 | 1 | no | — |
| 80 | #4147 | — | 2 | 2 | no | — |
| 81 | #4147 | — | 2 | 1 | no | — |
| 82 | #4147 | — | 2 | 2 | no | — |
| 83 | #4147 | — | 4 | 1 | no | — |
| 84 | #4147 | — | 4 | 1 | no | — |
| 85 | C2×#713 | — | 2 | 2 | no | — |
| 86 | C2×#713 | — | 2 | 2 | no | — |
| 87 | C2×#713 | — | 2 | 1 | no | — |
| 88 | C2×#713 | — | 2 | 2 | no | — |
| 89 | C2×#713 | — | 2 | 2 | no | — |
| 90 | C2×#713 | — | 4 | 1 | no | — |
| 91 | C2×#713 | — | 4 | 1 | no | — |
| 92 | C2×#713 | D4 | 1 | 2 | yes | complemented |
| 93 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 94 | C2×Q8×D5 | D4 | 1 | 2 | yes | complemented |
| 95 | #4144 | — | 2 | 1 | no | — |
| 96 | #4144 | — | 2 | 2 | no | — |
| 97 | C2×#709 | — | 2 | 2 | no | — |
| 98 | C2×#709 | — | 4 | 1 | no | — |
| 99 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 102 | C22×D20 | — | 2 | 1 | no | — |
| 103 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 104 | C22×C4×D5 | — | 2 | 1 | no | — |
| 105 | C22×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 106 | C5×#137 | — | 2 | 2 | no | — |
| 107 | C5×#137 | — | 2 | 2 | no | — |
| 108 | C2×C5×Q16 | D4 | 1 | 2 | yes | complemented |
| 109 | C2×C5×SD16 | D4 | 1 | 2 | yes | complemented |
| 110 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 112 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 113 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 114 | C5×#117 | — | 2 | 2 | no | — |
| 115 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 116 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 117 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 118 | #4097 | — | 2 | 1 | no | — |
| 119 | #4096 | — | 2 | 2 | no | — |
| 120 | #4095 | — | 2 | 1 | no | — |
| 121 | #4095 | — | 2 | 2 | no | — |
| 122 | #4095 | — | 4 | 1 | no | — |
| 123 | #4092 | — | 2 | 1 | no | — |
| 124 | C2×#689 | D4 | 1 | 2 | yes | complemented |
| 125 | #4088 | — | 2 | 2 | no | — |
| 126 | #4088 | — | 2 | 1 | no | — |
| 127 | #4088 | — | 2 | 2 | no | — |
| 128 | C2×#688 | — | 2 | 1 | no | — |
| 129 | C2×#688 | D4 | 1 | 2 | yes | complemented |
| 130 | #4084 | — | 2 | 1 | no | — |
| 131 | #4083 | — | 2 | 1 | no | — |
| 132 | #4081 | — | 2 | 1 | no | — |
| 133 | #4078 | — | 2 | 1 | no | — |
| 134 | C2×#686 | — | 2 | 1 | no | — |
| 135 | C4×C22⋊D5 | — | 4 | 1 | no | — |
| 136 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 137 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 138 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 139 | #4065 | — | 2 | 4 | no | — |
| 140 | #4064 | — | 2 | 4 | no | — |
| 141 | #4064 | — | 2 | 4 | no | — |
| 142 | D5×Q16 | — | 2 | 4 | no | — |
| 143 | #4062 | — | 2 | 4 | no | — |
| 144 | #4061 | — | 2 | 4 | no | — |
| 145 | #4060 | — | 2 | 4 | no | — |
| 146 | D5×SD16 | — | 2 | 4 | no | — |
| 147 | #4055 | — | 2 | 1 | no | — |
| 148 | #4055 | — | 2 | 1 | no | — |
| 149 | #4054 | — | 2 | 1 | no | — |
| 150 | #4054 | — | 2 | 1 | no | — |
| 151 | #4054 | — | 2 | 2 | no | — |
| 152 | #4054 | — | 4 | 1 | no | — |
| 153 | #4053 | — | 2 | 2 | no | — |
| 154 | D5×M16 | — | 2 | 2 | no | — |
| 155 | #4050 | — | 2 | 2 | no | — |
| 156 | C2×D40 | — | 2 | 1 | no | — |
| 157 | C2×#677 | — | 2 | 1 | no | — |
| 158 | #4047 | — | 2 | 2 | no | — |
| 159 | #4043 | — | 2 | 4 | no | — |
| 160 | #4043 | — | 2 | 1 | no | — |
| 161 | #4043 | — | 2 | 1 | no | — |
| 162 | #4043 | — | 2 | 1 | no | — |
| 163 | #4041 | — | 2 | 4 | no | — |
| 164 | #4041 | — | 2 | 4 | no | — |
| 165 | #4041 | — | 2 | 4 | no | — |
| 166 | #4041 | — | 2 | 1 | no | — |
| 167 | #4041 | — | 2 | 1 | no | — |
| 168 | #4041 | — | 2 | 2 | no | — |
| 169 | #4041 | — | 2 | 2 | no | — |
| 170 | #4041 | — | 2 | 1 | no | — |
| 171 | #4032 | — | 2 | 1 | no | — |
| 172 | #4032 | — | 2 | 1 | no | — |
| 173 | #4032 | D4 | 1 | 2 | yes | — |
| 174 | #4028 | — | 2 | 1 | no | — |
| 175 | #4028 | — | 2 | 2 | no | — |
| 176 | #4028 | — | 2 | 2 | no | — |
| 177 | #4028 | — | 2 | 1 | no | — |
| 178 | #4028 | D4 | 1 | 2 | yes | — |
| 179 | #4021 | — | 2 | 4 | no | — |
| 180 | #4021 | — | 2 | 1 | no | — |
| 181 | #4021 | D4 | 1 | 2 | yes | complemented |
| 182 | #4020 | — | 2 | 4 | no | — |
| 183 | #4020 | — | 2 | 1 | no | — |
| 184 | #4020 | D4 | 1 | 2 | yes | complemented |
| 185 | C4×D20 | — | 2 | 4 | no | — |
| 186 | C4×D20 | — | 2 | 4 | no | — |
| 187 | C4×D20 | — | 2 | 2 | no | — |
| 188 | C4×D20 | — | 2 | 2 | no | — |
| 189 | C4×D20 | — | 4 | 1 | no | — |
| 190 | C5×#104 | — | 2 | 2 | no | — |
| 191 | C5×#103 | — | 2 | 2 | no | — |
| 192 | C5×#99 | — | 2 | 2 | no | — |
| 193 | #3967 | — | 2 | 2 | no | — |
| 194 | #3957 | — | 4 | 1 | no | — |
| 195 | #3956 | — | 2 | 1 | no | — |
| 196 | #3955 | — | 2 | 1 | no | — |
| 197 | #3953 | — | 2 | 2 | no | — |
| 198 | #3952 | — | 2 | 2 | no | — |
| 199 | #3952 | — | 2 | 2 | no | — |
| 200 | #3941 | — | 2 | 2 | no | — |
| 201 | #3938 | — | 2 | 2 | no | — |
| 202 | #3938 | — | 2 | 2 | no | — |
| 203 | #3937 | — | 2 | 2 | no | — |
| 204 | #3937 | — | 4 | 1 | no | — |
| 205 | #3586 | — | 5 | 1 | no | — |
| 206 | #3487 | — | 5 | 1 | no | — |
| 207 | #3025 | — | 5 | 1 | no | — |
| 208 | #3021 | — | 5 | 1 | no | — |
| 209 | #3005 | — | 5 | 1 | no | — |
| 210 | #3005 | — | 5 | 1 | no | — |
| 211 | #2010 | — | 5 | 1 | no | — |
| 212 | #2010 | — | 5 | 1 | no | — |
| 213 | #2008 | — | 5 | 1 | no | — |
| 214 | #2008 | — | 5 | 1 | no | — |
| 215 | #1910 | — | 5 | 1 | no | — |
| 216 | #1905 | — | 5 | 1 | no | — |
| 217 | #1905 | D5 | 1 | 1 | yes | characteristic, complemented |
| 218 | #1891 | — | 5 | 1 | no | — |
| 219 | #1796 | — | 5 | 1 | no | — |
| 220 | C23×D5 | — | 2 | 1 | no | — |
| 221 | C23×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C5×#41 | — | 2 | 1 | no | — |
| 223 | C5×#41 | — | 2 | 1 | no | — |
| 224 | C5×#41 | — | 2 | 1 | no | — |
| 225 | C5×#41 | — | 2 | 1 | no | — |
| 226 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 227 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 228 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 229 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 231 | C2×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 232 | C2×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 233 | C2×C5×D4 | — | 2 | 1 | no | — |
| 234 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C22×C4×C5 | — | 2 | 1 | no | — |
| 236 | C22×C4×C5 | — | 2 | 1 | no | — |
| 237 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 238 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 239 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 240 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 241 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 242 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 243 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | #713 | — | 2 | 2 | no | — |
| 245 | #713 | — | 2 | 4 | no | — |
| 246 | #713 | — | 4 | 2 | no | — |
| 247 | #713 | — | 4 | 4 | no | — |
| 248 | #713 | — | 4 | 4 | no | — |
| 249 | #713 | — | 4 | 2 | no | — |
| 250 | #713 | — | 4 | 2 | no | — |
| 251 | #713 | — | 4 | 1 | no | — |
| 252 | #713 | — | 4 | 4 | no | — |
| 253 | #713 | — | 4 | 4 | no | — |
| 254 | Q8×D5 | — | 2 | 2 | no | — |
| 255 | Q8×D5 | — | 2 | 4 | no | — |
| 256 | Q8×D5 | — | 4 | 2 | no | — |
| 257 | Q8×D5 | — | 4 | 2 | no | — |
| 258 | Q8×D5 | — | 4 | 2 | no | — |
| 259 | Q8×D5 | — | 4 | 1 | no | — |
| 260 | #711 | — | 2 | 2 | no | — |
| 261 | #711 | — | 4 | 1 | no | — |
| 262 | #711 | — | 4 | 2 | no | — |
| 263 | #711 | — | 4 | 2 | no | — |
| 264 | D4×D5 | — | 2 | 2 | no | — |
| 265 | D4×D5 | — | 4 | 1 | no | — |
| 266 | D4×D5 | — | 4 | 2 | no | — |
| 267 | D4×D5 | — | 4 | 2 | no | — |
| 268 | #709 | — | 2 | 1 | no | — |
| 269 | #709 | — | 2 | 1 | no | — |
| 270 | #709 | — | 2 | 1 | no | — |
| 271 | #709 | — | 2 | 1 | no | — |
| 272 | #709 | — | 2 | 1 | no | — |
| 273 | #709 | — | 2 | 1 | no | — |
| 274 | #709 | — | 2 | 1 | no | — |
| 275 | #709 | — | 2 | 1 | no | — |
| 276 | #709 | — | 2 | 1 | no | — |
| 277 | #709 | — | 2 | 1 | no | — |
| 278 | #709 | — | 2 | 1 | no | — |
| 279 | #709 | — | 2 | 1 | no | — |
| 280 | #709 | — | 4 | 1 | no | — |
| 281 | #709 | — | 4 | 1 | no | — |
| 282 | #709 | — | 4 | 2 | no | — |
| 283 | #709 | — | 4 | 4 | no | — |
| 284 | #709 | — | 4 | 4 | no | — |
| 285 | #709 | — | 4 | 2 | no | — |
| 286 | C2×D20 | — | 2 | 1 | no | — |
| 287 | C2×D20 | — | 2 | 1 | no | — |
| 288 | C2×D20 | — | 2 | 1 | no | — |
| 289 | C2×D20 | — | 2 | 1 | no | — |
| 290 | C2×D20 | — | 2 | 4 | no | — |
| 291 | C2×D20 | — | 2 | 2 | no | — |
| 292 | C2×D20 | — | 2 | 1 | no | — |
| 293 | C2×D20 | — | 2 | 4 | no | — |
| 294 | C2×D20 | — | 2 | 2 | no | — |
| 295 | C2×D20 | — | 2 | 2 | no | — |
| 296 | C2×D20 | — | 2 | 4 | no | — |
| 297 | C2×D20 | — | 4 | 1 | no | — |
| 298 | C2×D20 | — | 4 | 2 | no | — |
| 299 | C2×D20 | — | 4 | 2 | no | — |
| 300 | C2×D20 | — | 4 | 1 | no | — |
| 301 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 302 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 303 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 305 | C2×C4×D5 | — | 2 | 4 | no | — |
| 306 | C2×C4×D5 | — | 2 | 2 | no | — |
| 307 | C2×C4×D5 | — | 2 | 1 | no | — |
| 308 | C2×C4×D5 | — | 2 | 1 | no | — |
| 309 | C2×C4×D5 | — | 2 | 1 | no | — |
| 310 | C2×C4×D5 | — | 2 | 1 | no | — |
| 311 | C2×C4×D5 | — | 2 | 1 | no | — |
| 312 | C2×C4×D5 | — | 2 | 1 | no | — |
| 313 | C2×C4×D5 | — | 2 | 1 | no | — |
| 314 | C2×C4×D5 | — | 2 | 1 | no | — |
| 315 | C2×C4×D5 | — | 2 | 2 | no | — |
| 316 | C2×C4×D5 | — | 4 | 2 | no | — |
| 317 | C2×C4×D5 | — | 4 | 2 | no | — |
| 318 | C2×C4×D5 | — | 4 | 2 | no | — |
| 319 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 320 | C2×Dic10 | — | 2 | 2 | no | — |
| 321 | C2×Dic10 | — | 4 | 1 | no | — |
| 322 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 323 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C5×Q16 | — | 2 | 4 | no | — |
| 326 | C5×SD16 | — | 2 | 4 | no | — |
| 327 | C5×M16 | — | 2 | 1 | no | — |
| 328 | C5×M16 | — | 2 | 1 | no | — |
| 329 | C5×M16 | — | 2 | 1 | no | — |
| 330 | C5×M16 | — | 2 | 1 | no | — |
| 331 | C2×C5×C8 | — | 2 | 1 | no | — |
| 332 | C2×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 333 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 334 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 335 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 336 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 337 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 338 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 339 | C5×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 340 | C42×C5 | — | 2 | 4 | no | — |
| 341 | C42×C5 | — | 2 | 1 | no | — |
| 342 | C42×C5 | — | 2 | 1 | no | — |
| 343 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 344 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 345 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 346 | #689 | — | 2 | 2 | no | — |
| 347 | #689 | — | 2 | 4 | no | — |
| 348 | #688 | — | 2 | 2 | no | — |
| 349 | #688 | — | 2 | 4 | no | — |
| 350 | #688 | — | 4 | 2 | no | — |
| 351 | #687 | — | 2 | 2 | no | — |
| 352 | #686 | — | 2 | 2 | no | — |
| 353 | #686 | — | 4 | 2 | no | — |
| 354 | #685 | — | 2 | 2 | no | — |
| 355 | #685 | — | 2 | 4 | no | — |
| 356 | #685 | — | 2 | 2 | no | — |
| 357 | #685 | — | 2 | 2 | no | — |
| 358 | #685 | — | 2 | 2 | no | — |
| 359 | #685 | — | 2 | 4 | no | — |
| 360 | #685 | — | 4 | 1 | no | — |
| 361 | #685 | — | 4 | 1 | no | — |
| 362 | #685 | — | 4 | 1 | no | — |
| 363 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 364 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 365 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 366 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 367 | #683 | — | 4 | 1 | no | — |
| 368 | C4×Dic5 | — | 2 | 1 | no | — |
| 369 | #681 | — | 2 | 1 | no | — |
| 370 | #681 | — | 2 | 1 | no | — |
| 371 | #681 | — | 2 | 1 | no | — |
| 372 | #681 | — | 2 | 1 | no | — |
| 373 | C2×#168 | — | 2 | 1 | no | — |
| 374 | C2×#168 | C2×D4 | 1 | 2 | yes | — |
| 375 | Dic20 | — | 2 | 2 | no | — |
| 376 | D40 | — | 2 | 2 | no | — |
| 377 | D40 | — | 4 | 2 | no | — |
| 378 | #677 | — | 2 | 2 | no | — |
| 379 | #677 | — | 2 | 2 | no | — |
| 380 | #677 | — | 4 | 2 | no | — |
| 381 | #676 | — | 2 | 4 | no | — |
| 382 | C8×D5 | — | 2 | 4 | no | — |
| 383 | #585 | — | 5 | 1 | no | — |
| 384 | C2×2−1+4 | — | 5 | 1 | no | — |
| 385 | C22×#41 | — | 5 | 1 | no | — |
| 386 | #578 | — | 10 | 2 | no | — |
| 387 | #578 | — | 10 | 2 | no | — |
| 388 | #577 | — | 10 | 2 | no | — |
| 389 | #577 | — | 10 | 2 | no | — |
| 390 | #575 | — | 5 | 1 | no | — |
| 391 | #575 | — | 5 | 1 | no | — |
| 392 | #575 | — | 10 | 2 | no | — |
| 393 | C2×#137 | — | 5 | 1 | no | — |
| 394 | C2×#137 | — | 10 | 2 | no | — |
| 395 | C2×#137 | C2×D5 | 1 | 1 | yes | characteristic |
| 396 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 397 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 398 | #568 | — | 5 | 1 | no | — |
| 399 | #550 | — | 10 | 2 | no | — |
| 400 | #550 | — | 10 | 2 | no | — |
| 401 | #548 | — | 10 | 2 | no | — |
| 402 | #548 | — | 10 | 2 | no | — |
| 403 | #535 | — | 5 | 1 | no | — |
| 404 | #535 | — | 5 | 1 | no | — |
| 405 | #535 | — | 10 | 2 | no | — |
| 406 | #525 | — | 5 | 1 | no | — |
| 407 | #525 | — | 5 | 1 | no | — |
| 408 | #525 | — | 5 | 1 | no | — |
| 409 | #525 | — | 5 | 1 | no | — |
| 410 | #525 | — | 10 | 2 | no | — |
| 411 | #519 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 412 | #458 | — | 10 | 2 | no | — |
| 413 | B(4,𝔽2) | — | 10 | 2 | no | — |
| 414 | #454 | — | 10 | 2 | no | — |
| 415 | #453 | — | 10 | 2 | no | — |
| 416 | #452 | — | 10 | 2 | no | — |
| 417 | #452 | — | 10 | 2 | no | — |
| 418 | #449 | — | 10 | 2 | no | — |
| 419 | #449 | — | 10 | 2 | no | — |
| 420 | #421 | — | 5 | 1 | no | — |
| 421 | #421 | — | 5 | 1 | no | — |
| 422 | #421 | — | 5 | 1 | no | — |
| 423 | #421 | C2×D5 | 1 | 1 | yes | characteristic |
| 424 | #419 | — | 5 | 1 | no | — |
| 425 | #419 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 426 | #418 | — | 5 | 1 | no | — |
| 427 | #418 | — | 5 | 1 | no | — |
| 428 | #413 | — | 5 | 1 | no | — |
| 429 | #410 | — | 5 | 1 | no | — |
| 430 | #410 | — | 5 | 1 | no | — |
| 431 | #410 | C2×D5 | 1 | 1 | yes | characteristic |
| 432 | #407 | — | 5 | 1 | no | — |
| 433 | #407 | — | 5 | 1 | no | — |
| 434 | #344 | — | 5 | 1 | no | — |
| 435 | #344 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 436 | H(3,ℤ/4) | — | 5 | 1 | no | — |
| 437 | H(3,ℤ/4) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 438 | C23×C5 | — | 2 | 1 | no | — |
| 439 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 440 | C22×D5 | — | 2 | 1 | no | — |
| 441 | C22×D5 | — | 2 | 2 | no | — |
| 442 | C22×D5 | — | 2 | 1 | no | — |
| 443 | C22×D5 | — | 2 | 1 | no | — |
| 444 | C22×D5 | — | 2 | 1 | no | — |
| 445 | C22×D5 | — | 2 | 1 | no | — |
| 446 | C22×D5 | — | 4 | 2 | no | — |
| 447 | C22×D5 | — | 4 | 1 | no | — |
| 448 | C22×D5 | — | 4 | 1 | no | — |
| 449 | C22×D5 | — | 8 | 1 | no | — |
| 450 | C22×D5 | — | 8 | 2 | no | — |
| 451 | C22×D5 | #120 | 1 | 2 | yes | — |
| 452 | C5×Q8 | — | 2 | 2 | no | — |
| 453 | C5×Q8 | — | 2 | 2 | no | — |
| 454 | C5×Q8 | — | 2 | 2 | no | — |
| 455 | C5×Q8 | — | 2 | 1 | no | — |
| 456 | C5×Q8 | — | 2 | 1 | no | — |
| 457 | C5×Q8 | #120 | 1 | 4 | yes | — |
| 458 | C5×D4 | — | 2 | 1 | no | — |
| 459 | C5×D4 | — | 2 | 1 | no | — |
| 460 | C5×D4 | — | 4 | 1 | no | — |
| 461 | C5×D4 | — | 4 | 1 | no | — |
| 462 | C2×C4×C5 | — | 2 | 2 | no | — |
| 463 | C2×C4×C5 | — | 2 | 2 | no | — |
| 464 | C2×C4×C5 | — | 2 | 2 | no | — |
| 465 | C2×C4×C5 | — | 2 | 2 | no | — |
| 466 | C2×C4×C5 | — | 2 | 2 | no | — |
| 467 | C2×C4×C5 | — | 2 | 1 | no | — |
| 468 | C2×C4×C5 | — | 4 | 1 | no | — |
| 469 | C2×C4×C5 | — | 4 | 1 | no | — |
| 470 | C2×C4×C5 | — | 4 | 1 | no | — |
| 471 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 472 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 473 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 474 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 475 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 476 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 477 | C22⋊D5 | — | 2 | 2 | no | — |
| 478 | C22⋊D5 | — | 2 | 2 | no | — |
| 479 | C22⋊D5 | — | 4 | 2 | no | — |
| 480 | C22⋊D5 | — | 4 | 2 | no | — |
| 481 | C22⋊D5 | — | 4 | 1 | no | — |
| 482 | C22⋊D5 | — | 4 | 1 | no | — |
| 483 | C22⋊D5 | — | 4 | 1 | no | — |
| 484 | C22⋊D5 | — | 4 | 1 | no | — |
| 485 | C22⋊D5 | — | 8 | 2 | no | — |
| 486 | C2×Dic5 | — | 2 | 1 | no | — |
| 487 | C2×Dic5 | — | 2 | 1 | no | — |
| 488 | C2×Dic5 | — | 2 | 1 | no | — |
| 489 | C2×Dic5 | — | 2 | 1 | no | — |
| 490 | C2×Dic5 | — | 2 | 1 | no | — |
| 491 | C2×Dic5 | — | 4 | 2 | no | — |
| 492 | C2×Dic5 | — | 4 | 1 | no | — |
| 493 | C2×Dic5 | #120 | 1 | 2 | yes | — |
| 494 | D20 | — | 2 | 1 | no | — |
| 495 | D20 | — | 2 | 1 | no | — |
| 496 | D20 | — | 2 | 1 | no | — |
| 497 | D20 | — | 2 | 1 | no | — |
| 498 | D20 | — | 2 | 1 | no | — |
| 499 | D20 | — | 2 | 2 | no | — |
| 500 | D20 | — | 2 | 1 | no | — |
| 501 | D20 | — | 2 | 2 | no | — |
| 502 | D20 | — | 4 | 4 | no | — |
| 503 | D20 | — | 4 | 8 | no | — |
| 504 | D20 | — | 4 | 2 | no | — |
| 505 | D20 | — | 4 | 1 | no | — |
| 506 | D20 | — | 4 | 1 | no | — |
| 507 | D20 | — | 8 | 2 | no | — |
| 508 | D20 | — | 8 | 4 | no | — |
| 509 | D20 | — | 8 | 4 | no | — |
| 510 | D20 | — | 8 | 2 | no | — |
| 511 | D20 | — | 8 | 2 | no | — |
| 512 | C4×D5 | — | 2 | 2 | no | — |
| 513 | C4×D5 | — | 2 | 2 | no | — |
| 514 | C4×D5 | — | 4 | 4 | no | — |
| 515 | C4×D5 | — | 4 | 2 | no | — |
| 516 | C4×D5 | — | 4 | 4 | no | — |
| 517 | C4×D5 | — | 4 | 8 | no | — |
| 518 | C4×D5 | — | 4 | 2 | no | — |
| 519 | C4×D5 | — | 4 | 1 | no | — |
| 520 | C4×D5 | — | 4 | 1 | no | — |
| 521 | C4×D5 | — | 4 | 1 | no | — |
| 522 | C4×D5 | — | 4 | 1 | no | — |
| 523 | C4×D5 | — | 4 | 1 | no | — |
| 524 | C4×D5 | — | 4 | 1 | no | — |
| 525 | C4×D5 | — | 4 | 1 | no | — |
| 526 | C4×D5 | — | 4 | 1 | no | — |
| 527 | Dic10 | — | 2 | 1 | no | — |
| 528 | Dic10 | — | 2 | 1 | no | — |
| 529 | Dic10 | — | 2 | 1 | no | — |
| 530 | Dic10 | — | 2 | 1 | no | — |
| 531 | Dic10 | — | 2 | 1 | no | — |
| 532 | Dic10 | — | 2 | 1 | no | — |
| 533 | Dic10 | — | 4 | 4 | no | — |
| 534 | Dic10 | — | 4 | 2 | no | — |
| 535 | C5×C8 | — | 2 | 2 | no | — |
| 536 | C5×C8 | — | 4 | 1 | no | — |
| 537 | #168 | — | 2 | 2 | no | — |
| 538 | #168 | — | 4 | 1 | no | — |
| 539 | 2−1+4 | — | 10 | 1 | no | — |
| 540 | 2−1+4 | — | 10 | 1 | no | — |
| 541 | 2−1+4 | — | 10 | 2 | no | — |
| 542 | 2−1+4 | — | 10 | 1 | no | — |
| 543 | 2−1+4 | — | 10 | 2 | no | — |
| 544 | 2−1+4 | — | 20 | 1 | no | — |
| 545 | 2−1+4 | — | 20 | 1 | no | — |
| 546 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 547 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 548 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 549 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 550 | C2×#41 | — | 5 | 1 | no | — |
| 551 | C2×#41 | — | 5 | 2 | no | — |
| 552 | C2×#41 | — | 5 | 1 | no | — |
| 553 | C2×#41 | — | 5 | 1 | no | — |
| 554 | C2×#41 | — | 10 | 2 | no | — |
| 555 | C2×#41 | — | 10 | 2 | no | — |
| 556 | C2×#41 | — | 10 | 2 | no | — |
| 557 | C2×#41 | — | 10 | 1 | no | — |
| 558 | C2×#41 | — | 10 | 2 | no | — |
| 559 | C2×#41 | — | 10 | 2 | no | — |
| 560 | C2×#41 | — | 10 | 2 | no | — |
| 561 | C2×#41 | — | 20 | 1 | no | — |
| 562 | C2×#41 | — | 20 | 1 | no | — |
| 563 | C2×#41 | — | 20 | 1 | no | — |
| 564 | C2×#41 | — | 20 | 1 | no | — |
| 565 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 566 | C22×Q8 | — | 5 | 2 | no | — |
| 567 | C22×Q8 | — | 10 | 1 | no | — |
| 568 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 569 | C22×D4 | — | 5 | 1 | no | — |
| 570 | C22×D4 | — | 10 | 1 | no | — |
| 571 | C23×C4 | — | 5 | 1 | no | — |
| 572 | C23×C4 | — | 10 | 1 | no | — |
| 573 | #137 | — | 2 | 2 | no | — |
| 574 | #137 | — | 2 | 2 | no | — |
| 575 | #137 | — | 10 | 1 | no | — |
| 576 | #137 | — | 10 | 1 | no | — |
| 577 | #137 | — | 10 | 4 | no | — |
| 578 | #137 | — | 10 | 4 | no | — |
| 579 | #137 | — | 10 | 4 | no | — |
| 580 | #137 | — | 10 | 1 | no | — |
| 581 | #137 | — | 10 | 2 | no | — |
| 582 | #137 | — | 10 | 1 | no | — |
| 583 | #137 | — | 10 | 2 | no | — |
| 584 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 585 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 586 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 587 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 588 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 589 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 590 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 591 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 592 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 593 | #135 | — | 10 | 2 | no | — |
| 594 | #135 | — | 10 | 4 | no | — |
| 595 | #135 | — | 10 | 4 | no | — |
| 596 | #135 | — | 10 | 2 | no | — |
| 597 | C2×Q16 | — | 5 | 2 | no | — |
| 598 | C2×Q16 | — | 10 | 4 | no | — |
| 599 | C2×Q16 | D20 | 1 | 2 | yes | complemented |
| 600 | C2×SD16 | — | 5 | 2 | no | — |
| 601 | C2×SD16 | — | 10 | 1 | no | — |
| 602 | C2×SD16 | — | 10 | 4 | no | — |
| 603 | C2×SD16 | — | 10 | 1 | no | — |
| 604 | C2×SD16 | D20 | 1 | 2 | yes | complemented |
| 605 | C2×D8 | — | 10 | 1 | no | — |
| 606 | C2×D8 | — | 10 | 1 | no | — |
| 607 | #131 | — | 10 | 2 | no | — |
| 608 | #131 | — | 10 | 2 | no | — |
| 609 | C2×M16 | — | 5 | 1 | no | — |
| 610 | C2×M16 | — | 5 | 1 | no | — |
| 611 | C2×M16 | — | 10 | 2 | no | — |
| 612 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 613 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 614 | #127 | — | 5 | 2 | no | — |
| 615 | #127 | — | 10 | 1 | no | — |
| 616 | #127 | — | 10 | 4 | no | — |
| 617 | #124 | — | 5 | 2 | no | — |
| 618 | #124 | — | 10 | 1 | no | — |
| 619 | #124 | — | 10 | 4 | no | — |
| 620 | #123 | — | 5 | 2 | no | — |
| 621 | #123 | — | 10 | 1 | no | — |
| 622 | #123 | — | 10 | 1 | no | — |
| 623 | #123 | — | 10 | 1 | no | — |
| 624 | C22⋊Q8 | — | 10 | 1 | no | — |
| 625 | C22⋊Q8 | — | 10 | 1 | no | — |
| 626 | C22⋊Q8 | — | 10 | 4 | no | — |
| 627 | C22⋊Q8 | — | 10 | 1 | no | — |
| 628 | C22⋊Q8 | — | 10 | 1 | no | — |
| 629 | #121 | — | 10 | 2 | no | — |
| 630 | #121 | — | 10 | 1 | no | — |
| 631 | #121 | — | 10 | 1 | no | — |
| 632 | #121 | — | 10 | 2 | no | — |
| 633 | #121 | — | 10 | 4 | no | — |
| 634 | #121 | — | 10 | 4 | no | — |
| 635 | #121 | — | 10 | 4 | no | — |
| 636 | #121 | — | 10 | 1 | no | — |
| 637 | #121 | — | 10 | 1 | no | — |
| 638 | #120 | — | 5 | 2 | no | — |
| 639 | #120 | — | 10 | 2 | no | — |
| 640 | #120 | — | 10 | 1 | no | — |
| 641 | #120 | — | 10 | 1 | no | — |
| 642 | #120 | — | 10 | 2 | no | — |
| 643 | #120 | — | 10 | 1 | no | — |
| 644 | C4×Q8 | — | 2 | 2 | no | — |
| 645 | C4×Q8 | — | 2 | 2 | no | — |
| 646 | C4×D4 | — | 10 | 2 | no | — |
| 647 | C4×D4 | — | 10 | 4 | no | — |
| 648 | C4×D4 | — | 10 | 4 | no | — |
| 649 | C4×D4 | — | 10 | 2 | no | — |
| 650 | C4×D4 | — | 20 | 1 | no | — |
| 651 | C4×D4 | — | 20 | 1 | no | — |
| 652 | #117 | — | 2 | 2 | no | — |
| 653 | #117 | — | 5 | 1 | no | — |
| 654 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 655 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 656 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 657 | #104 | — | 2 | 2 | no | — |
| 658 | #104 | — | 10 | 2 | no | — |
| 659 | #104 | — | 20 | 1 | no | — |
| 660 | #104 | — | 20 | 1 | no | — |
| 661 | #103 | — | 2 | 2 | no | — |
| 662 | #103 | — | 10 | 2 | no | — |
| 663 | #102 | — | 10 | 2 | no | — |
| 664 | #102 | — | 10 | 2 | no | — |
| 665 | #101 | — | 10 | 1 | no | — |
| 666 | #100 | — | 10 | 1 | no | — |
| 667 | #99 | — | 2 | 2 | no | — |
| 668 | #99 | — | 10 | 2 | no | — |
| 669 | #99 | — | 10 | 2 | no | — |
| 670 | C22⋊C8 | — | 10 | 2 | no | — |
| 671 | C22⋊C8 | — | 10 | 2 | no | — |
| 672 | C22×C5 | — | 4 | 1 | no | — |
| 673 | C22×C5 | — | 4 | 1 | no | — |
| 674 | C22×C5 | — | 8 | 1 | no | — |
| 675 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 676 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 677 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 678 | C2×D5 | — | 2 | 2 | no | — |
| 679 | C2×D5 | — | 4 | 2 | no | — |
| 680 | C2×D5 | — | 4 | 2 | no | — |
| 681 | C2×D5 | — | 4 | 1 | no | — |
| 682 | C2×D5 | — | 4 | 1 | no | — |
| 683 | C2×D5 | — | 4 | 1 | no | — |
| 684 | C2×D5 | — | 4 | 4 | no | — |
| 685 | C2×D5 | — | 4 | 1 | no | — |
| 686 | C2×D5 | — | 4 | 1 | no | — |
| 687 | C2×D5 | — | 4 | 1 | no | — |
| 688 | C2×D5 | — | 4 | 1 | no | — |
| 689 | C2×D5 | — | 4 | 2 | no | — |
| 690 | C2×D5 | — | 4 | 1 | no | — |
| 691 | C2×D5 | — | 4 | 1 | no | — |
| 692 | C2×D5 | — | 8 | 2 | no | — |
| 693 | C2×D5 | — | 8 | 2 | no | — |
| 694 | C2×D5 | — | 8 | 1 | no | — |
| 695 | C2×D5 | — | 16 | 2 | no | — |
| 696 | C4×C5 | — | 2 | 4 | no | — |
| 697 | C4×C5 | — | 4 | 2 | no | — |
| 698 | C4×C5 | — | 4 | 2 | no | — |
| 699 | C4×C5 | — | 4 | 1 | no | — |
| 700 | C4×C5 | — | 8 | 1 | no | — |
| 701 | C4×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 702 | C4×C5 | #534 | 1 | 1 | yes | characteristic |
| 703 | C4×C5 | D42 | 1 | 1 | yes | characteristic |
| 704 | C4×C5 | D42 | 1 | 1 | yes | characteristic |
| 705 | Dic5 | — | 2 | 2 | no | — |
| 706 | Dic5 | — | 4 | 1 | no | — |
| 707 | Dic5 | — | 4 | 1 | no | — |
| 708 | Dic5 | — | 4 | 1 | no | — |
| 709 | Dic5 | — | 8 | 1 | no | — |
| 710 | C24 | — | 5 | 1 | no | — |
| 711 | C24 | — | 10 | 1 | no | — |
| 712 | #41 | — | 2 | 1 | no | — |
| 713 | #41 | — | 2 | 1 | no | — |
| 714 | #41 | — | 2 | 1 | no | — |
| 715 | #41 | — | 2 | 1 | no | — |
| 716 | #41 | — | 10 | 1 | no | — |
| 717 | #41 | — | 10 | 1 | no | — |
| 718 | #41 | — | 10 | 1 | no | — |
| 719 | #41 | — | 10 | 1 | no | — |
| 720 | #41 | — | 10 | 2 | no | — |
| 721 | #41 | — | 10 | 2 | no | — |
| 722 | #41 | — | 10 | 4 | no | — |
| 723 | #41 | — | 10 | 1 | no | — |
| 724 | #41 | — | 10 | 1 | no | — |
| 725 | #41 | — | 10 | 1 | no | — |
| 726 | #41 | — | 10 | 1 | no | — |
| 727 | #41 | — | 10 | 1 | no | — |
| 728 | #41 | — | 10 | 1 | no | — |
| 729 | #41 | — | 10 | 1 | no | — |
| 730 | #41 | — | 10 | 1 | no | — |
| 731 | #41 | — | 20 | 4 | no | — |
| 732 | #41 | — | 20 | 4 | no | — |
| 733 | #41 | — | 20 | 2 | no | — |
| 734 | #41 | — | 20 | 2 | no | — |
| 735 | #41 | — | 20 | 1 | no | — |
| 736 | #41 | — | 20 | 1 | no | — |
| 737 | #41 | — | 20 | 2 | no | — |
| 738 | #41 | — | 20 | 2 | no | — |
| 739 | #41 | — | 20 | 2 | no | — |
| 740 | #41 | — | 20 | 1 | no | — |
| 741 | #41 | — | 20 | 4 | no | — |
| 742 | #41 | — | 20 | 4 | no | — |
| 743 | #41 | — | 20 | 2 | no | — |
| 744 | #41 | — | 20 | 2 | no | — |
| 745 | #41 | — | 20 | 1 | no | — |
| 746 | #41 | — | 20 | 4 | no | — |
| 747 | #41 | — | 20 | 4 | no | — |
| 748 | C2×Q8 | — | 2 | 1 | no | — |
| 749 | C2×Q8 | — | 2 | 1 | no | — |
| 750 | C2×Q8 | — | 2 | 1 | no | — |
| 751 | C2×Q8 | — | 5 | 1 | no | — |
| 752 | C2×Q8 | — | 5 | 1 | no | — |
| 753 | C2×Q8 | — | 5 | 1 | no | — |
| 754 | C2×Q8 | — | 10 | 2 | no | — |
| 755 | C2×Q8 | — | 10 | 2 | no | — |
| 756 | C2×Q8 | — | 10 | 4 | no | — |
| 757 | C2×Q8 | — | 20 | 1 | no | — |
| 758 | C2×Q8 | — | 20 | 2 | no | — |
| 759 | C2×Q8 | — | 20 | 2 | no | — |
| 760 | C2×Q8 | — | 20 | 2 | no | — |
| 761 | C2×Q8 | — | 20 | 1 | no | — |
| 762 | C2×Q8 | C2×D20 | 1 | 1 | yes | characteristic |
| 763 | C2×Q8 | C2×D20 | 1 | 2 | yes | — |
| 764 | C2×Q8 | D4×D5 | 1 | 2 | yes | — |
| 765 | C2×Q8 | D4×D5 | 1 | 2 | yes | — |
| 766 | C2×D4 | — | 2 | 1 | no | — |
| 767 | C2×D4 | — | 5 | 2 | no | — |
| 768 | C2×D4 | — | 5 | 1 | no | — |
| 769 | C2×D4 | — | 5 | 2 | no | — |
| 770 | C2×D4 | — | 5 | 1 | no | — |
| 771 | C2×D4 | — | 5 | 1 | no | — |
| 772 | C2×D4 | — | 10 | 2 | no | — |
| 773 | C2×D4 | — | 10 | 4 | no | — |
| 774 | C2×D4 | — | 10 | 2 | no | — |
| 775 | C2×D4 | — | 10 | 4 | no | — |
| 776 | C2×D4 | — | 10 | 4 | no | — |
| 777 | C2×D4 | — | 10 | 2 | no | — |
| 778 | C2×D4 | — | 10 | 2 | no | — |
| 779 | C2×D4 | — | 10 | 1 | no | — |
| 780 | C2×D4 | — | 10 | 1 | no | — |
| 781 | C2×D4 | — | 10 | 1 | no | — |
| 782 | C2×D4 | — | 10 | 1 | no | — |
| 783 | C2×D4 | — | 10 | 1 | no | — |
| 784 | C2×D4 | — | 10 | 1 | no | — |
| 785 | C2×D4 | — | 10 | 1 | no | — |
| 786 | C2×D4 | — | 20 | 2 | no | — |
| 787 | C2×D4 | — | 20 | 2 | no | — |
| 788 | C2×D4 | — | 20 | 1 | no | — |
| 789 | C2×D4 | — | 20 | 1 | no | — |
| 790 | C2×D4 | — | 20 | 1 | no | — |
| 791 | C2×D4 | — | 20 | 2 | no | — |
| 792 | C2×D4 | — | 20 | 2 | no | — |
| 793 | C2×D4 | — | 20 | 2 | no | — |
| 794 | C2×D4 | — | 20 | 1 | no | — |
| 795 | C2×D4 | C2×D20 | 1 | 1 | yes | characteristic |
| 796 | C22×C4 | — | 2 | 1 | no | — |
| 797 | C22×C4 | — | 2 | 1 | no | — |
| 798 | C22×C4 | — | 5 | 2 | no | — |
| 799 | C22×C4 | — | 5 | 1 | no | — |
| 800 | C22×C4 | — | 10 | 2 | no | — |
| 801 | C22×C4 | — | 10 | 2 | no | — |
| 802 | C22×C4 | — | 10 | 4 | no | — |
| 803 | C22×C4 | — | 10 | 1 | no | — |
| 804 | C22×C4 | — | 10 | 1 | no | — |
| 805 | C22×C4 | — | 10 | 1 | no | — |
| 806 | C22×C4 | — | 10 | 1 | no | — |
| 807 | C22×C4 | — | 10 | 1 | no | — |
| 808 | C22×C4 | — | 10 | 1 | no | — |
| 809 | C22×C4 | — | 10 | 1 | no | — |
| 810 | C22×C4 | — | 10 | 1 | no | — |
| 811 | C22×C4 | — | 20 | 2 | no | — |
| 812 | C22×C4 | — | 20 | 2 | no | — |
| 813 | C22×C4 | — | 20 | 2 | no | — |
| 814 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 815 | Q16 | — | 2 | 4 | no | — |
| 816 | Q16 | — | 10 | 2 | no | — |
| 817 | Q16 | — | 10 | 2 | no | — |
| 818 | Q16 | — | 10 | 4 | no | — |
| 819 | SD16 | — | 2 | 4 | no | — |
| 820 | SD16 | — | 10 | 2 | no | — |
| 821 | SD16 | — | 10 | 2 | no | — |
| 822 | SD16 | — | 10 | 2 | no | — |
| 823 | SD16 | — | 10 | 2 | no | — |
| 824 | SD16 | — | 10 | 4 | no | — |
| 825 | SD16 | — | 20 | 2 | no | — |
| 826 | SD16 | — | 20 | 2 | no | — |
| 827 | D8 | — | 10 | 2 | no | — |
| 828 | D8 | — | 10 | 2 | no | — |
| 829 | D8 | — | 20 | 2 | no | — |
| 830 | D8 | — | 20 | 2 | no | — |
| 831 | M16 | — | 2 | 1 | no | — |
| 832 | M16 | — | 2 | 1 | no | — |
| 833 | M16 | — | 2 | 1 | no | — |
| 834 | M16 | — | 2 | 1 | no | — |
| 835 | M16 | — | 10 | 4 | no | — |
| 836 | M16 | — | 10 | 1 | no | — |
| 837 | M16 | — | 10 | 1 | no | — |
| 838 | M16 | — | 10 | 1 | no | — |
| 839 | M16 | — | 10 | 1 | no | — |
| 840 | C2×C8 | — | 2 | 1 | no | — |
| 841 | C2×C8 | — | 5 | 2 | no | — |
| 842 | C2×C8 | — | 10 | 4 | no | — |
| 843 | C2×C8 | — | 10 | 1 | no | — |
| 844 | C2×C8 | C2×D20 | 1 | 2 | yes | — |
| 845 | C4⋊C4 | — | 2 | 4 | no | — |
| 846 | C4⋊C4 | — | 2 | 1 | no | — |
| 847 | C4⋊C4 | — | 2 | 1 | no | — |
| 848 | C4⋊C4 | — | 2 | 1 | no | — |
| 849 | C4⋊C4 | — | 10 | 2 | no | — |
| 850 | C4⋊C4 | — | 10 | 2 | no | — |
| 851 | C4⋊C4 | — | 10 | 1 | no | — |
| 852 | C4⋊C4 | — | 20 | 1 | no | — |
| 853 | C4⋊C4 | — | 20 | 1 | no | — |
| 854 | C22⋊C4 | — | 2 | 1 | no | — |
| 855 | C22⋊C4 | — | 2 | 1 | no | — |
| 856 | C22⋊C4 | — | 10 | 2 | no | — |
| 857 | C22⋊C4 | — | 10 | 4 | no | — |
| 858 | C22⋊C4 | — | 10 | 2 | no | — |
| 859 | C22⋊C4 | — | 10 | 2 | no | — |
| 860 | C22⋊C4 | — | 10 | 4 | no | — |
| 861 | C22⋊C4 | — | 10 | 2 | no | — |
| 862 | C22⋊C4 | — | 10 | 1 | no | — |
| 863 | C22⋊C4 | — | 20 | 1 | no | — |
| 864 | C22⋊C4 | — | 20 | 1 | no | — |
| 865 | C22⋊C4 | — | 20 | 1 | no | — |
| 866 | C22⋊C4 | — | 20 | 1 | no | — |
| 867 | C22⋊C4 | D4×D5 | 1 | 2 | yes | — |
| 868 | C42 | — | 2 | 4 | no | — |
| 869 | C42 | — | 2 | 1 | no | — |
| 870 | C42 | — | 2 | 1 | no | — |
| 871 | C42 | — | 10 | 1 | no | — |
| 872 | C42 | D4×D5 | 1 | 2 | yes | — |
| 873 | C2×C5 | — | 2 | 1 | no | — |
| 874 | C2×C5 | — | 2 | 1 | no | — |
| 875 | C2×C5 | — | 2 | 1 | no | — |
| 876 | C2×C5 | — | 8 | 1 | no | — |
| 877 | C2×C5 | #2403 | 1 | 1 | yes | characteristic |
| 878 | D5 | — | 4 | 2 | no | — |
| 879 | D5 | — | 8 | 1 | no | — |
| 880 | D5 | — | 8 | 1 | no | — |
| 881 | D5 | — | 8 | 2 | no | — |
| 882 | D5 | — | 8 | 1 | no | — |
| 883 | C23 | — | 2 | 1 | no | — |
| 884 | C23 | — | 5 | 2 | no | — |
| 885 | C23 | — | 10 | 1 | no | — |
| 886 | C23 | — | 10 | 2 | no | — |
| 887 | C23 | — | 10 | 1 | no | — |
| 888 | C23 | — | 10 | 1 | no | — |
| 889 | C23 | — | 10 | 1 | no | — |
| 890 | C23 | — | 10 | 1 | no | — |
| 891 | C23 | — | 20 | 2 | no | — |
| 892 | C23 | — | 20 | 1 | no | — |
| 893 | C23 | — | 20 | 1 | no | — |
| 894 | C23 | — | 40 | 1 | no | — |
| 895 | C23 | — | 40 | 2 | no | — |
| 896 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 897 | Q8 | — | 2 | 2 | no | — |
| 898 | Q8 | — | 2 | 2 | no | — |
| 899 | Q8 | — | 2 | 2 | no | — |
| 900 | Q8 | — | 2 | 1 | no | — |
| 901 | Q8 | — | 2 | 1 | no | — |
| 902 | Q8 | — | 10 | 1 | no | — |
| 903 | Q8 | — | 10 | 1 | no | — |
| 904 | Q8 | — | 10 | 1 | no | — |
| 905 | Q8 | — | 10 | 1 | no | — |
| 906 | Q8 | — | 10 | 1 | no | — |
| 907 | Q8 | — | 10 | 1 | no | — |
| 908 | Q8 | — | 20 | 4 | no | — |
| 909 | Q8 | — | 20 | 2 | no | — |
| 910 | Q8 | #4028 | 1 | 4 | yes | — |
| 911 | D4 | — | 2 | 1 | no | — |
| 912 | D4 | — | 2 | 1 | no | — |
| 913 | D4 | — | 4 | 1 | no | — |
| 914 | D4 | — | 4 | 1 | no | — |
| 915 | D4 | — | 10 | 2 | no | — |
| 916 | D4 | — | 10 | 2 | no | — |
| 917 | D4 | — | 10 | 1 | no | — |
| 918 | D4 | — | 10 | 1 | no | — |
| 919 | D4 | — | 10 | 1 | no | — |
| 920 | D4 | — | 10 | 2 | no | — |
| 921 | D4 | — | 10 | 1 | no | — |
| 922 | D4 | — | 10 | 1 | no | — |
| 923 | D4 | — | 10 | 2 | no | — |
| 924 | D4 | — | 10 | 1 | no | — |
| 925 | D4 | — | 20 | 4 | no | — |
| 926 | D4 | — | 20 | 8 | no | — |
| 927 | D4 | — | 20 | 2 | no | — |
| 928 | D4 | — | 20 | 2 | no | — |
| 929 | D4 | — | 20 | 2 | no | — |
| 930 | D4 | — | 20 | 1 | no | — |
| 931 | D4 | — | 20 | 1 | no | — |
| 932 | D4 | — | 20 | 1 | no | — |
| 933 | D4 | — | 20 | 1 | no | — |
| 934 | D4 | — | 20 | 1 | no | — |
| 935 | D4 | — | 20 | 1 | no | — |
| 936 | D4 | — | 40 | 2 | no | — |
| 937 | D4 | — | 40 | 4 | no | — |
| 938 | D4 | — | 40 | 4 | no | — |
| 939 | D4 | — | 40 | 2 | no | — |
| 940 | D4 | — | 40 | 2 | no | — |
| 941 | D4 | — | 40 | 2 | no | — |
| 942 | C2×C4 | — | 2 | 2 | no | — |
| 943 | C2×C4 | — | 2 | 2 | no | — |
| 944 | C2×C4 | — | 2 | 2 | no | — |
| 945 | C2×C4 | — | 2 | 1 | no | — |
| 946 | C2×C4 | — | 2 | 2 | no | — |
| 947 | C2×C4 | — | 2 | 2 | no | — |
| 948 | C2×C4 | — | 4 | 1 | no | — |
| 949 | C2×C4 | — | 4 | 1 | no | — |
| 950 | C2×C4 | — | 4 | 1 | no | — |
| 951 | C2×C4 | — | 5 | 2 | no | — |
| 952 | C2×C4 | — | 10 | 2 | no | — |
| 953 | C2×C4 | — | 10 | 2 | no | — |
| 954 | C2×C4 | — | 10 | 1 | no | — |
| 955 | C2×C4 | — | 10 | 1 | no | — |
| 956 | C2×C4 | — | 10 | 1 | no | — |
| 957 | C2×C4 | — | 10 | 1 | no | — |
| 958 | C2×C4 | — | 10 | 1 | no | — |
| 959 | C2×C4 | — | 20 | 4 | no | — |
| 960 | C2×C4 | — | 20 | 4 | no | — |
| 961 | C2×C4 | — | 20 | 8 | no | — |
| 962 | C2×C4 | — | 20 | 2 | no | — |
| 963 | C2×C4 | — | 20 | 2 | no | — |
| 964 | C2×C4 | — | 20 | 2 | no | — |
| 965 | C2×C4 | — | 20 | 1 | no | — |
| 966 | C2×C4 | — | 20 | 1 | no | — |
| 967 | C2×C4 | — | 20 | 1 | no | — |
| 968 | C2×C4 | — | 20 | 1 | no | — |
| 969 | C2×C4 | — | 20 | 1 | no | — |
| 970 | C2×C4 | — | 20 | 1 | no | — |
| 971 | C2×C4 | — | 20 | 1 | no | — |
| 972 | C2×C4 | — | 20 | 1 | no | — |
| 973 | C2×C4 | — | 20 | 1 | no | — |
| 974 | C2×C4 | C22×D20 | 1 | 1 | yes | characteristic |
| 975 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 976 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 977 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 978 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 979 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 980 | C8 | — | 2 | 2 | no | — |
| 981 | C8 | — | 4 | 1 | no | — |
| 982 | C8 | — | 10 | 2 | no | — |
| 983 | C8 | — | 20 | 1 | no | — |
| 984 | C5 | #23884 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 985 | C22 | — | 4 | 1 | no | — |
| 986 | C22 | — | 4 | 1 | no | — |
| 987 | C22 | — | 8 | 1 | no | — |
| 988 | C22 | — | 10 | 2 | no | — |
| 989 | C22 | — | 20 | 2 | no | — |
| 990 | C22 | — | 20 | 2 | no | — |
| 991 | C22 | — | 20 | 1 | no | — |
| 992 | C22 | — | 20 | 1 | no | — |
| 993 | C22 | — | 20 | 4 | no | — |
| 994 | C22 | — | 20 | 1 | no | — |
| 995 | C22 | — | 20 | 1 | no | — |
| 996 | C22 | — | 20 | 1 | no | — |
| 997 | C22 | — | 20 | 1 | no | — |
| 998 | C22 | — | 20 | 1 | no | — |
| 999 | C22 | — | 20 | 2 | no | — |
| 1000 | C22 | — | 20 | 1 | no | — |
| 1001 | C22 | — | 20 | 1 | no | — |
| 1002 | C22 | — | 40 | 1 | no | — |
| 1003 | C22 | — | 40 | 2 | no | — |
| 1004 | C22 | — | 40 | 2 | no | — |
| 1005 | C22 | — | 80 | 2 | no | — |
| 1006 | C22 | D4×D20 | 1 | 1 | yes | characteristic |
| 1007 | C22 | D5×#120 | 1 | 1 | yes | characteristic |
| 1008 | C22 | #65943 | 1 | 1 | yes | characteristic |
| 1009 | C4 | — | 2 | 4 | no | — |
| 1010 | C4 | — | 4 | 2 | no | — |
| 1011 | C4 | — | 4 | 2 | no | — |
| 1012 | C4 | — | 4 | 1 | no | — |
| 1013 | C4 | — | 8 | 1 | no | — |
| 1014 | C4 | — | 10 | 2 | no | — |
| 1015 | C4 | — | 20 | 1 | no | — |
| 1016 | C4 | — | 20 | 1 | no | — |
| 1017 | C4 | — | 20 | 1 | no | — |
| 1018 | C4 | — | 40 | 1 | no | — |
| 1019 | C4 | C2×#4028 | 1 | 1 | yes | characteristic |
| 1020 | C4 | D4×D20 | 1 | 1 | yes | characteristic |
| 1021 | C4 | #65943 | 1 | 1 | yes | characteristic |
| 1022 | C4 | #65987 | 1 | 1 | yes | characteristic |
| 1023 | C2 | — | 2 | 1 | no | — |
| 1024 | C2 | — | 2 | 1 | no | — |
| 1025 | C2 | — | 2 | 1 | no | — |
| 1026 | C2 | — | 8 | 1 | no | — |
| 1027 | C2 | — | 20 | 2 | no | — |
| 1028 | C2 | — | 40 | 1 | no | — |
| 1029 | C2 | — | 40 | 2 | no | — |
| 1030 | C2 | — | 40 | 1 | no | — |
| 1031 | C2 | — | 40 | 1 | no | — |
| 1032 | C2 | #10606615 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10619098 | C2 | semidirect |
| 2. #10617775 | C2 | semidirect |
| 3. #10615711 | C2 | semidirect |
| 4. #10610725 | C2 | semidirect |
| 5. #10610690 | C2 | semidirect |
| 6. #10610421 | C2 | semidirect |
| 7. C5×#1905 | C2 | semidirect |
| 8. #10602455 | C2 | semidirect |
| 9. #10601199 | C2 | semidirect |
| 10. #10601140 | C2 | semidirect |
| 11. #10600843 | C2 | semidirect |
| 12. #10599829 | C2 | semidirect |
| 13. #10599821 | C2 | semidirect |
| 14. #10599506 | C2 | semidirect |
| 15. #10599496 | C2 | semidirect |
| 18. C22×#713 | C22 | semidirect |
| 20. C5×#519 | C22 | semidirect |
| 40. #65859 | C22 | semidirect |
| 44. #65858 | C22 | semidirect |
| 46. C5×#419 | C22 | semidirect |
| 48. #65514 | C22 | semidirect |
| 51. #65428 | C22 | semidirect |
| 53. #65420 | C22 | semidirect |
| 54. #65415 | C22 | semidirect |
| 55. #65415 | C22 | semidirect |
| 59. #65294 | C22 | semidirect |
| 60. #65290 | C22 | semidirect |
| 67. C5×#344 | C22 | semidirect |
| 68. C5×H(3,ℤ/4) | C22 | semidirect |
| 69. #64753 | C22 | semidirect |
| 70. #64751 | C22 | semidirect |
| 92. C2×#713 | D4 | semidirect |
| 94. C2×Q8×D5 | D4 | semidirect |
| 108. C2×C5×Q16 | D4 | semidirect |
| 109. C2×C5×SD16 | D4 | semidirect |
| 124. C2×#689 | D4 | semidirect |
| 129. C2×#688 | D4 | semidirect |
| 181. #4021 | D4 | semidirect |
| 184. #4020 | D4 | semidirect |
| 217. #1905 | D5 | semidirect |
| 411. #519 | C2×D5 | semidirect |
| 425. #419 | C2×D5 | semidirect |
| 435. #344 | C2×D5 | semidirect |
| 437. H(3,ℤ/4) | C2×D5 | semidirect |
| 599. C2×Q16 | D20 | semidirect |
| 604. C2×SD16 | D20 | semidirect |
| 984. C5 | #23884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10619098 | 2 |
| #10617775 | 2 |
| #10615711 | 2 |
| #10610725 | 2 |
| #10610690 | 2 |
| #10610421 | 2 |
| C5×#1905 | 2 |
| #10602455 | 2 |
| #10601199 | 2 |
| #10601140 | 2 |
| #10600843 | 2 |
| #10599829 | 2 |
| #10599821 | 2 |
| #10599506 | 2 |
| #10599496 | 2 |
| #23884 | 5 |