Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1284 conjugacy classes of subgroups.
The subgroup lattice has 964 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10617928 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10615499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10614659 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10605317 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#1871 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10602795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10601179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10601178 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601159 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10601158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10600235 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10599562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10599556 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10599553 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10599552 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C22×#709 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×C5×M16 | C22 | 1 | 1 | yes | characteristic |
| 18 | C5×#525 | C22 | 1 | 1 | yes | characteristic |
| 19 | #66164 | C22 | 1 | 1 | yes | characteristic |
| 20 | #66161 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#4097 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#4095 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#4076 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#4072 | C22 | 1 | 1 | yes | characteristic |
| 25 | #65992 | — | 2 | 2 | no | — |
| 26 | #65977 | — | 2 | 1 | no | — |
| 27 | #65958 | — | 2 | 1 | no | — |
| 28 | #65953 | — | 2 | 1 | no | — |
| 29 | #65930 | — | 2 | 1 | no | — |
| 30 | #65925 | — | 2 | 2 | no | — |
| 31 | #65899 | — | 2 | 1 | no | — |
| 32 | #65899 | — | 2 | 1 | no | — |
| 33 | #65897 | — | 2 | 1 | no | — |
| 34 | #65889 | — | 2 | 1 | no | — |
| 35 | #65855 | C22 | 1 | 1 | yes | characteristic |
| 36 | #65853 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#4021 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#4020 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×C5×#104 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×C5×#104 | C22 | 1 | 1 | yes | characteristic |
| 41 | C4×C5×C22⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 42 | #65496 | C22 | 1 | 1 | yes | characteristic |
| 43 | #65422 | — | 2 | 1 | no | — |
| 44 | #65422 | — | 2 | 1 | no | — |
| 45 | #65420 | C22 | 1 | 1 | yes | characteristic |
| 46 | #65420 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#3955 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#3955 | C22 | 1 | 1 | yes | characteristic |
| 49 | #65409 | C22 | 1 | 1 | yes | characteristic |
| 50 | #65409 | C22 | 1 | 1 | yes | characteristic |
| 51 | #65402 | — | 2 | 1 | no | — |
| 52 | #65402 | — | 2 | 1 | no | — |
| 53 | #65336 | — | 2 | 1 | no | — |
| 54 | #65336 | — | 2 | 1 | no | — |
| 55 | #65326 | — | 2 | 1 | no | — |
| 56 | #65326 | — | 2 | 1 | no | — |
| 57 | #65293 | C22 | 1 | 1 | yes | characteristic |
| 58 | #65290 | C22 | 1 | 1 | yes | characteristic |
| 59 | #65249 | — | 2 | 2 | no | — |
| 60 | #65228 | C22 | 1 | 1 | yes | characteristic |
| 61 | #65218 | C22 | 1 | 1 | yes | characteristic |
| 62 | #64954 | — | 2 | 2 | no | — |
| 63 | C5×#339 | C22 | 1 | 1 | yes | characteristic |
| 64 | C5×#339 | C22 | 1 | 1 | yes | characteristic |
| 65 | #64774 | C22 | 1 | 1 | yes | characteristic |
| 66 | #64774 | C22 | 1 | 1 | yes | characteristic |
| 67 | #64743 | C22 | 1 | 1 | yes | characteristic |
| 68 | #64743 | C22 | 1 | 1 | yes | characteristic |
| 69 | #64743 | C22 | 1 | 1 | yes | characteristic |
| 70 | #64743 | C22 | 1 | 1 | yes | characteristic |
| 71 | #23956 | — | 5 | 1 | no | maximal, Sylow |
| 72 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 73 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×C22⋊D5 | — | 2 | 1 | no | — |
| 75 | C22×C22⋊D5 | D4 | 1 | 2 | yes | — |
| 76 | C2×#711 | — | 2 | 2 | no | — |
| 77 | C2×#709 | — | 2 | 1 | no | — |
| 78 | C2×#709 | — | 2 | 1 | no | — |
| 79 | C2×#709 | — | 2 | 1 | no | — |
| 80 | C2×#709 | — | 2 | 1 | no | — |
| 81 | C2×#709 | — | 2 | 2 | no | — |
| 82 | C2×#709 | — | 2 | 2 | no | — |
| 83 | C2×#709 | — | 4 | 1 | no | — |
| 84 | C2×#709 | — | 4 | 1 | no | — |
| 85 | C22×D20 | — | 2 | 2 | no | — |
| 86 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×C4×D5 | — | 2 | 1 | no | — |
| 89 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C5×M16 | — | 2 | 1 | no | — |
| 91 | C2×C5×M16 | — | 4 | 1 | no | — |
| 92 | C2×C5×M16 | — | 4 | 1 | no | — |
| 93 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 95 | C22×C5×C8 | — | 2 | 1 | no | — |
| 96 | C5×#123 | — | 2 | 1 | no | — |
| 97 | C5×C22⋊Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 98 | C5×C22⋊Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 99 | C5×#121 | D4 | 1 | 1 | yes | characteristic, complemented |
| 100 | C5×#121 | D4 | 1 | 1 | yes | characteristic, complemented |
| 101 | C5×#120 | — | 2 | 1 | no | — |
| 102 | C4×C5×D4 | — | 2 | 1 | no | — |
| 103 | C4×C5×D4 | — | 2 | 1 | no | — |
| 104 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C5×C22⋊C4 | — | 2 | 1 | no | — |
| 106 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C22⋊Dic5 | — | 2 | 1 | no | — |
| 109 | #4097 | — | 2 | 2 | no | — |
| 110 | #4097 | — | 4 | 1 | no | — |
| 111 | #4095 | — | 2 | 2 | no | — |
| 112 | #4095 | — | 4 | 1 | no | — |
| 113 | #4093 | — | 2 | 1 | no | — |
| 114 | Q8×Dic5 | — | 2 | 1 | no | — |
| 115 | C2×#689 | — | 2 | 1 | no | — |
| 116 | C2×#688 | — | 2 | 1 | no | — |
| 117 | #4086 | — | 2 | 1 | no | — |
| 118 | #4085 | — | 2 | 2 | no | — |
| 119 | #4085 | — | 2 | 2 | no | — |
| 120 | #4084 | — | 2 | 2 | no | — |
| 121 | #4083 | — | 2 | 2 | no | — |
| 122 | D4×Dic5 | — | 2 | 1 | no | — |
| 123 | D4×Dic5 | — | 2 | 2 | no | — |
| 124 | C2×#687 | — | 2 | 1 | no | — |
| 125 | C2×#686 | — | 2 | 1 | no | — |
| 126 | #4076 | — | 2 | 1 | no | — |
| 127 | #4076 | — | 2 | 1 | no | — |
| 128 | #4076 | — | 2 | 1 | no | — |
| 129 | #4076 | — | 2 | 1 | no | — |
| 130 | #4076 | — | 2 | 1 | no | — |
| 131 | #4076 | — | 2 | 1 | no | — |
| 132 | C2×#685 | — | 2 | 2 | no | — |
| 133 | C2×#685 | — | 2 | 2 | no | — |
| 134 | C2×#685 | D4 | 1 | 2 | yes | — |
| 135 | #4072 | — | 2 | 1 | no | — |
| 136 | #4072 | — | 2 | 1 | no | — |
| 137 | #4072 | — | 2 | 1 | no | — |
| 138 | #4072 | D4 | 1 | 1 | yes | characteristic, complemented |
| 139 | #4072 | D4 | 1 | 1 | yes | characteristic, complemented |
| 140 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 141 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×C4⋊Dic5 | — | 2 | 1 | no | — |
| 143 | C2×C4⋊Dic5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 144 | C2×C4⋊Dic5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 145 | C2×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C4×Dic5 | — | 2 | 1 | no | — |
| 147 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 148 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 149 | #4044 | — | 2 | 2 | no | — |
| 150 | #4044 | — | 2 | 2 | no | — |
| 151 | #4043 | — | 2 | 2 | no | — |
| 152 | #4039 | — | 2 | 1 | no | — |
| 153 | #4039 | — | 2 | 1 | no | — |
| 154 | #4038 | — | 2 | 2 | no | — |
| 155 | #4036 | — | 2 | 1 | no | — |
| 156 | #4034 | — | 2 | 1 | no | — |
| 157 | #4032 | — | 2 | 2 | no | — |
| 158 | #4032 | — | 2 | 2 | no | — |
| 159 | #4031 | — | 2 | 2 | no | — |
| 160 | #4031 | — | 2 | 2 | no | — |
| 161 | #4029 | — | 2 | 2 | no | — |
| 162 | #4029 | — | 2 | 2 | no | — |
| 163 | #4027 | — | 2 | 2 | no | — |
| 164 | #4027 | — | 2 | 2 | no | — |
| 165 | D5×C22⋊C4 | — | 2 | 2 | no | — |
| 166 | #4024 | — | 2 | 2 | no | — |
| 167 | #4021 | — | 2 | 2 | no | — |
| 168 | #4021 | — | 4 | 1 | no | — |
| 169 | #4020 | — | 2 | 2 | no | — |
| 170 | #4020 | — | 4 | 1 | no | — |
| 171 | C4×D20 | — | 2 | 1 | no | — |
| 172 | C4×D20 | — | 2 | 1 | no | — |
| 173 | #4016 | — | 2 | 1 | no | — |
| 174 | #4015 | — | 2 | 1 | no | — |
| 175 | C5×#104 | — | 4 | 1 | no | — |
| 176 | C5×#104 | — | 4 | 1 | no | — |
| 177 | C5×#95 | — | 2 | 1 | no | — |
| 178 | #3963 | — | 2 | 2 | no | — |
| 179 | C22⋊#168 | — | 2 | 1 | no | — |
| 180 | C22⋊#168 | — | 2 | 1 | no | — |
| 181 | #3955 | — | 4 | 1 | no | — |
| 182 | #3955 | — | 4 | 1 | no | — |
| 183 | #3953 | — | 2 | 1 | no | — |
| 184 | #3953 | — | 2 | 1 | no | — |
| 185 | #3953 | — | 2 | 1 | no | — |
| 186 | #3953 | — | 2 | 1 | no | — |
| 187 | #3948 | — | 2 | 1 | no | — |
| 188 | #3948 | — | 2 | 1 | no | — |
| 189 | #3948 | — | 2 | 1 | no | — |
| 190 | #3948 | — | 2 | 1 | no | — |
| 191 | #3942 | — | 2 | 1 | no | — |
| 192 | #3942 | — | 2 | 1 | no | — |
| 193 | #3941 | — | 2 | 1 | no | — |
| 194 | #3941 | — | 2 | 1 | no | — |
| 195 | #3494 | — | 5 | 1 | no | — |
| 196 | #3005 | — | 5 | 1 | no | — |
| 197 | #2896 | — | 5 | 1 | no | — |
| 198 | #2431 | — | 5 | 1 | no | — |
| 199 | #2028 | — | 5 | 1 | no | — |
| 200 | #2027 | — | 5 | 1 | no | — |
| 201 | #2004 | — | 5 | 1 | no | — |
| 202 | #2002 | — | 5 | 1 | no | — |
| 203 | #1900 | — | 5 | 1 | no | — |
| 204 | #1887 | — | 5 | 1 | no | — |
| 205 | #1885 | — | 5 | 1 | no | — |
| 206 | #1883 | — | 5 | 1 | no | — |
| 207 | #1882 | — | 5 | 1 | no | — |
| 208 | #1871 | D5 | 1 | 1 | yes | characteristic, complemented |
| 209 | #1826 | — | 5 | 1 | no | — |
| 210 | C24×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C23×D5 | — | 2 | 1 | no | — |
| 212 | C23×D5 | C2×D4 | 1 | 2 | yes | — |
| 213 | C5×#41 | — | 2 | 1 | no | — |
| 214 | C5×#41 | — | 2 | 1 | no | — |
| 215 | C5×#41 | — | 2 | 1 | no | — |
| 216 | C5×#41 | — | 2 | 1 | no | — |
| 217 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C2×C5×D4 | — | 2 | 1 | no | — |
| 219 | C2×C5×D4 | — | 2 | 1 | no | — |
| 220 | C2×C5×D4 | — | 2 | 1 | no | — |
| 221 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C22×C4×C5 | — | 2 | 1 | no | — |
| 223 | C22×C4×C5 | — | 2 | 1 | no | — |
| 224 | C22×C4×C5 | — | 2 | 1 | no | — |
| 225 | C22×C4×C5 | — | 2 | 1 | no | — |
| 226 | C22×C4×C5 | — | 2 | 1 | no | — |
| 227 | C22×C4×C5 | — | 2 | 1 | no | — |
| 228 | C22×C4×C5 | — | 2 | 1 | no | — |
| 229 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 235 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 236 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 237 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 238 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 239 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 240 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 241 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 242 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 243 | C2×C22⋊D5 | — | 8 | 2 | no | — |
| 244 | C22×Dic5 | — | 2 | 1 | no | — |
| 245 | C22×Dic5 | — | 2 | 1 | no | — |
| 246 | C22×Dic5 | — | 2 | 2 | no | — |
| 247 | C22×Dic5 | — | 2 | 1 | no | — |
| 248 | C22×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 249 | #711 | — | 8 | 4 | no | — |
| 250 | #709 | — | 2 | 4 | no | — |
| 251 | #709 | — | 2 | 4 | no | — |
| 252 | #709 | — | 4 | 2 | no | — |
| 253 | #709 | — | 4 | 2 | no | — |
| 254 | #709 | — | 4 | 2 | no | — |
| 255 | #709 | — | 4 | 2 | no | — |
| 256 | #709 | — | 4 | 2 | no | — |
| 257 | #709 | — | 4 | 2 | no | — |
| 258 | C2×D20 | — | 2 | 1 | no | — |
| 259 | C2×D20 | — | 2 | 1 | no | — |
| 260 | C2×D20 | — | 2 | 1 | no | — |
| 261 | C2×D20 | — | 2 | 1 | no | — |
| 262 | C2×D20 | — | 2 | 1 | no | — |
| 263 | C2×D20 | — | 2 | 1 | no | — |
| 264 | C2×D20 | — | 2 | 1 | no | — |
| 265 | C2×D20 | — | 2 | 1 | no | — |
| 266 | C2×D20 | — | 2 | 1 | no | — |
| 267 | C2×D20 | — | 2 | 1 | no | — |
| 268 | C2×D20 | — | 2 | 1 | no | — |
| 269 | C2×D20 | — | 4 | 4 | no | — |
| 270 | C2×D20 | — | 4 | 4 | no | — |
| 271 | C2×D20 | — | 8 | 2 | no | — |
| 272 | C2×D20 | #41 | 1 | 2 | yes | complemented |
| 273 | C2×C4×D5 | — | 2 | 2 | no | — |
| 274 | C2×C4×D5 | — | 2 | 2 | no | — |
| 275 | C2×C4×D5 | — | 4 | 2 | no | — |
| 276 | C2×C4×D5 | — | 4 | 2 | no | — |
| 277 | C2×C4×D5 | — | 4 | 1 | no | — |
| 278 | C2×C4×D5 | — | 4 | 1 | no | — |
| 279 | C2×Dic10 | — | 2 | 1 | no | — |
| 280 | C2×Dic10 | — | 2 | 1 | no | — |
| 281 | C2×Dic10 | — | 2 | 1 | no | — |
| 282 | C2×Dic10 | — | 2 | 1 | no | — |
| 283 | C2×Dic10 | — | 2 | 1 | no | — |
| 284 | C2×Dic10 | — | 2 | 2 | no | — |
| 285 | C2×Dic10 | #41 | 1 | 2 | yes | complemented |
| 286 | C5×M16 | — | 2 | 1 | no | — |
| 287 | C5×M16 | — | 2 | 1 | no | — |
| 288 | C5×M16 | — | 2 | 1 | no | — |
| 289 | C5×M16 | — | 2 | 1 | no | — |
| 290 | C5×M16 | — | 4 | 2 | no | — |
| 291 | C2×C5×C8 | — | 2 | 1 | no | — |
| 292 | C2×C5×C8 | — | 2 | 1 | no | — |
| 293 | C2×C5×C8 | — | 4 | 2 | no | — |
| 294 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 295 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 296 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 299 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 300 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 301 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 302 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 303 | C5×C22⋊C4 | — | 4 | 2 | no | — |
| 304 | C42×C5 | — | 2 | 1 | no | — |
| 305 | C42×C5 | — | 2 | 1 | no | — |
| 306 | C42×C5 | — | 2 | 1 | no | — |
| 307 | C42×C5 | — | 2 | 1 | no | — |
| 308 | C42×C5 | — | 2 | 1 | no | — |
| 309 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 310 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 311 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 312 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 313 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 314 | #689 | — | 4 | 2 | no | — |
| 315 | #688 | — | 4 | 2 | no | — |
| 316 | #687 | — | 4 | 2 | no | — |
| 317 | #686 | — | 4 | 2 | no | — |
| 318 | #685 | — | 2 | 2 | no | — |
| 319 | #685 | — | 2 | 2 | no | — |
| 320 | #685 | — | 2 | 2 | no | — |
| 321 | #685 | — | 2 | 2 | no | — |
| 322 | #685 | — | 2 | 2 | no | — |
| 323 | #685 | — | 2 | 2 | no | — |
| 324 | #685 | — | 4 | 4 | no | — |
| 325 | #685 | — | 8 | 2 | no | — |
| 326 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 327 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 328 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 329 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 330 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 331 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 332 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 333 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 335 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 336 | #683 | — | 2 | 2 | no | — |
| 337 | #683 | — | 2 | 2 | no | — |
| 338 | C4×Dic5 | — | 2 | 2 | no | — |
| 339 | C4×Dic5 | — | 2 | 1 | no | — |
| 340 | C4×Dic5 | — | 2 | 1 | no | — |
| 341 | C4×Dic5 | — | 2 | 1 | no | — |
| 342 | C4×Dic5 | — | 2 | 1 | no | — |
| 343 | #681 | — | 2 | 1 | no | — |
| 344 | #681 | — | 2 | 1 | no | — |
| 345 | #681 | — | 2 | 1 | no | — |
| 346 | #681 | — | 2 | 1 | no | — |
| 347 | C2×#168 | — | 2 | 1 | no | — |
| 348 | C2×#168 | — | 2 | 1 | no | — |
| 349 | C22×#41 | — | 5 | 1 | no | — |
| 350 | C2×#137 | — | 5 | 1 | no | — |
| 351 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 352 | C22×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 353 | #555 | — | 10 | 1 | no | — |
| 354 | #553 | — | 10 | 1 | no | — |
| 355 | #553 | — | 10 | 1 | no | — |
| 356 | #551 | — | 10 | 2 | no | — |
| 357 | #547 | — | 10 | 1 | no | — |
| 358 | #546 | — | 10 | 2 | no | — |
| 359 | #544 | — | 5 | 1 | no | — |
| 360 | #542 | — | 10 | 1 | no | — |
| 361 | #540 | — | 10 | 1 | no | — |
| 362 | #535 | — | 5 | 1 | no | — |
| 363 | #532 | — | 10 | 1 | no | — |
| 364 | C2×#127 | — | 5 | 1 | no | — |
| 365 | #529 | — | 10 | 1 | no | — |
| 366 | C2×#124 | — | 5 | 1 | no | — |
| 367 | #525 | C2×D5 | 1 | 1 | yes | characteristic |
| 368 | C2×#121 | — | 5 | 1 | no | — |
| 369 | #520 | — | 5 | 1 | no | — |
| 370 | #518 | — | 5 | 1 | no | — |
| 371 | C2×#117 | — | 5 | 1 | no | — |
| 372 | #452 | — | 10 | 1 | no | — |
| 373 | #452 | — | 10 | 1 | no | — |
| 374 | #449 | — | 10 | 1 | no | — |
| 375 | #449 | — | 10 | 1 | no | — |
| 376 | C2×#104 | C2×D5 | 1 | 1 | yes | characteristic |
| 377 | C2×#104 | C2×D5 | 1 | 1 | yes | characteristic |
| 378 | #419 | — | 5 | 1 | no | — |
| 379 | #419 | — | 5 | 1 | no | — |
| 380 | #419 | — | 5 | 1 | no | — |
| 381 | #418 | — | 5 | 1 | no | — |
| 382 | #418 | — | 5 | 1 | no | — |
| 383 | #418 | — | 5 | 1 | no | — |
| 384 | #417 | — | 10 | 1 | no | — |
| 385 | #417 | — | 10 | 1 | no | — |
| 386 | #416 | — | 10 | 1 | no | — |
| 387 | #416 | — | 10 | 1 | no | — |
| 388 | C2×#100 | — | 5 | 1 | no | — |
| 389 | C2×#100 | — | 5 | 1 | no | — |
| 390 | #407 | — | 5 | 1 | no | — |
| 391 | #392 | — | 10 | 2 | no | — |
| 392 | #391 | — | 5 | 1 | no | — |
| 393 | #390 | — | 5 | 1 | no | — |
| 394 | #386 | — | 10 | 2 | no | — |
| 395 | C4×C22⋊C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 396 | #343 | — | 5 | 1 | no | — |
| 397 | #343 | — | 5 | 1 | no | — |
| 398 | #339 | — | 5 | 1 | no | — |
| 399 | #339 | — | 5 | 1 | no | — |
| 400 | #339 | — | 5 | 1 | no | — |
| 401 | #339 | — | 5 | 1 | no | — |
| 402 | #339 | C2×D5 | 1 | 1 | yes | characteristic |
| 403 | #339 | C2×D5 | 1 | 1 | yes | characteristic |
| 404 | C23×C5 | — | 2 | 1 | no | — |
| 405 | C23×C5 | — | 2 | 1 | no | — |
| 406 | C23×C5 | — | 2 | 1 | no | — |
| 407 | C23×C5 | — | 4 | 1 | no | — |
| 408 | C23×C5 | — | 4 | 1 | no | — |
| 409 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 410 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 411 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 412 | C22×D5 | — | 2 | 2 | no | — |
| 413 | C22×D5 | — | 2 | 2 | no | — |
| 414 | C22×D5 | — | 2 | 2 | no | — |
| 415 | C22×D5 | — | 2 | 2 | no | — |
| 416 | C22×D5 | — | 4 | 2 | no | — |
| 417 | C22×D5 | — | 4 | 2 | no | — |
| 418 | C22×D5 | — | 4 | 1 | no | — |
| 419 | C22×D5 | — | 4 | 1 | no | — |
| 420 | C22×D5 | — | 4 | 2 | no | — |
| 421 | C22×D5 | — | 4 | 2 | no | — |
| 422 | C5×Q8 | — | 2 | 1 | no | — |
| 423 | C5×Q8 | — | 2 | 1 | no | — |
| 424 | C5×D4 | — | 2 | 1 | no | — |
| 425 | C5×D4 | — | 2 | 1 | no | — |
| 426 | C5×D4 | — | 4 | 2 | no | — |
| 427 | C5×D4 | — | 4 | 1 | no | — |
| 428 | C5×D4 | — | 4 | 1 | no | — |
| 429 | C5×D4 | — | 8 | 1 | no | — |
| 430 | C2×C4×C5 | — | 2 | 1 | no | — |
| 431 | C2×C4×C5 | — | 2 | 1 | no | — |
| 432 | C2×C4×C5 | — | 2 | 1 | no | — |
| 433 | C2×C4×C5 | — | 2 | 1 | no | — |
| 434 | C2×C4×C5 | — | 2 | 1 | no | — |
| 435 | C2×C4×C5 | — | 2 | 1 | no | — |
| 436 | C2×C4×C5 | — | 2 | 1 | no | — |
| 437 | C2×C4×C5 | — | 2 | 1 | no | — |
| 438 | C2×C4×C5 | — | 2 | 1 | no | — |
| 439 | C2×C4×C5 | — | 2 | 1 | no | — |
| 440 | C2×C4×C5 | — | 2 | 2 | no | — |
| 441 | C2×C4×C5 | — | 2 | 1 | no | — |
| 442 | C2×C4×C5 | — | 2 | 1 | no | — |
| 443 | C2×C4×C5 | — | 2 | 1 | no | — |
| 444 | C2×C4×C5 | — | 4 | 1 | no | — |
| 445 | C2×C4×C5 | — | 4 | 1 | no | — |
| 446 | C2×C4×C5 | — | 4 | 1 | no | — |
| 447 | C2×C4×C5 | — | 4 | 1 | no | — |
| 448 | C2×C4×C5 | — | 4 | 1 | no | — |
| 449 | C2×C4×C5 | — | 4 | 1 | no | — |
| 450 | C2×C4×C5 | — | 4 | 1 | no | — |
| 451 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 452 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 453 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 454 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 455 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 456 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 457 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 458 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 459 | C22⋊D5 | — | 4 | 4 | no | — |
| 460 | C22⋊D5 | — | 4 | 4 | no | — |
| 461 | C22⋊D5 | — | 4 | 4 | no | — |
| 462 | C22⋊D5 | — | 8 | 2 | no | — |
| 463 | C22⋊D5 | — | 8 | 2 | no | — |
| 464 | C22⋊D5 | — | 8 | 2 | no | — |
| 465 | C2×Dic5 | — | 2 | 1 | no | — |
| 466 | C2×Dic5 | — | 2 | 1 | no | — |
| 467 | C2×Dic5 | — | 2 | 1 | no | — |
| 468 | C2×Dic5 | — | 2 | 1 | no | — |
| 469 | C2×Dic5 | — | 2 | 2 | no | — |
| 470 | C2×Dic5 | — | 2 | 2 | no | — |
| 471 | C2×Dic5 | — | 4 | 2 | no | — |
| 472 | C2×Dic5 | — | 4 | 1 | no | — |
| 473 | C2×Dic5 | — | 4 | 1 | no | — |
| 474 | C2×Dic5 | — | 4 | 2 | no | — |
| 475 | C2×Dic5 | — | 8 | 1 | no | — |
| 476 | C2×Dic5 | — | 8 | 2 | no | — |
| 477 | D20 | — | 2 | 2 | no | — |
| 478 | D20 | — | 2 | 2 | no | — |
| 479 | D20 | — | 4 | 1 | no | — |
| 480 | D20 | — | 4 | 1 | no | — |
| 481 | D20 | — | 4 | 1 | no | — |
| 482 | D20 | — | 4 | 1 | no | — |
| 483 | D20 | — | 4 | 1 | no | — |
| 484 | D20 | — | 4 | 1 | no | — |
| 485 | D20 | — | 8 | 8 | no | — |
| 486 | C4×D5 | — | 4 | 4 | no | — |
| 487 | C4×D5 | — | 4 | 4 | no | — |
| 488 | C4×D5 | — | 8 | 2 | no | — |
| 489 | C4×D5 | — | 8 | 2 | no | — |
| 490 | Dic10 | — | 2 | 2 | no | — |
| 491 | Dic10 | — | 2 | 2 | no | — |
| 492 | Dic10 | — | 4 | 1 | no | — |
| 493 | Dic10 | — | 4 | 1 | no | — |
| 494 | Dic10 | — | 8 | 2 | no | — |
| 495 | C5×C8 | — | 4 | 1 | no | — |
| 496 | C5×C8 | — | 4 | 1 | no | — |
| 497 | #168 | — | 4 | 1 | no | — |
| 498 | #168 | — | 4 | 1 | no | — |
| 499 | C2×#41 | — | 10 | 2 | no | — |
| 500 | C2×#41 | — | 10 | 2 | no | — |
| 501 | C2×#41 | — | 10 | 2 | no | — |
| 502 | C2×#41 | — | 10 | 1 | no | — |
| 503 | C2×#41 | — | 10 | 1 | no | — |
| 504 | C2×#41 | — | 10 | 1 | no | — |
| 505 | C2×#41 | — | 10 | 1 | no | — |
| 506 | C2×#41 | — | 20 | 1 | no | — |
| 507 | C2×#41 | — | 20 | 1 | no | — |
| 508 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 509 | C22×Q8 | — | 5 | 1 | no | — |
| 510 | C22×D4 | — | 5 | 2 | no | — |
| 511 | C22×D4 | — | 5 | 1 | no | — |
| 512 | C22×D4 | — | 5 | 1 | no | — |
| 513 | C22×D4 | — | 10 | 2 | no | — |
| 514 | C22×D4 | — | 10 | 1 | no | — |
| 515 | C23×C4 | — | 10 | 1 | no | — |
| 516 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 517 | #137 | — | 10 | 2 | no | — |
| 518 | #137 | — | 20 | 1 | no | — |
| 519 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 520 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 521 | C2×Q16 | — | 10 | 1 | no | — |
| 522 | C2×SD16 | — | 10 | 1 | no | — |
| 523 | C2×SD16 | — | 10 | 1 | no | — |
| 524 | C2×D8 | — | 10 | 1 | no | — |
| 525 | C2×M16 | — | 2 | 1 | no | — |
| 526 | C2×M16 | — | 4 | 1 | no | — |
| 527 | C2×M16 | — | 4 | 1 | no | — |
| 528 | C2×M16 | — | 5 | 1 | no | — |
| 529 | C2×M16 | — | 5 | 1 | no | — |
| 530 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 531 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 532 | C22×C8 | — | 2 | 1 | no | — |
| 533 | C4⋊Q8 | — | 10 | 1 | no | — |
| 534 | C4⋊Q8 | — | 10 | 1 | no | — |
| 535 | #127 | — | 10 | 2 | no | — |
| 536 | #127 | — | 10 | 1 | no | — |
| 537 | #127 | — | 20 | 1 | no | — |
| 538 | #126 | — | 10 | 2 | no | — |
| 539 | #126 | — | 10 | 2 | no | — |
| 540 | #125 | — | 10 | 1 | no | — |
| 541 | #125 | — | 10 | 1 | no | — |
| 542 | #124 | — | 10 | 2 | no | — |
| 543 | #124 | — | 10 | 2 | no | — |
| 544 | #124 | — | 10 | 2 | no | — |
| 545 | #124 | — | 10 | 1 | no | — |
| 546 | #124 | — | 20 | 1 | no | — |
| 547 | #123 | — | 2 | 1 | no | — |
| 548 | #123 | — | 10 | 2 | no | — |
| 549 | #123 | — | 10 | 2 | no | — |
| 550 | #123 | — | 10 | 2 | no | — |
| 551 | #123 | — | 10 | 2 | no | — |
| 552 | C22⋊Q8 | — | 10 | 2 | no | — |
| 553 | C22⋊Q8 | — | 10 | 2 | no | — |
| 554 | C22⋊Q8 | D20 | 1 | 1 | yes | characteristic, complemented |
| 555 | C22⋊Q8 | D20 | 1 | 1 | yes | characteristic, complemented |
| 556 | #121 | — | 10 | 1 | no | — |
| 557 | #121 | — | 10 | 1 | no | — |
| 558 | #121 | — | 10 | 2 | no | — |
| 559 | #121 | — | 10 | 2 | no | — |
| 560 | #121 | — | 10 | 2 | no | — |
| 561 | #121 | — | 10 | 1 | no | — |
| 562 | #121 | — | 10 | 1 | no | — |
| 563 | #121 | — | 10 | 1 | no | — |
| 564 | #121 | — | 10 | 1 | no | — |
| 565 | #121 | D20 | 1 | 1 | yes | characteristic, complemented |
| 566 | #121 | D20 | 1 | 1 | yes | characteristic, complemented |
| 567 | #120 | — | 2 | 1 | no | — |
| 568 | #120 | — | 10 | 2 | no | — |
| 569 | C4×Q8 | — | 10 | 1 | no | — |
| 570 | C4×D4 | — | 2 | 1 | no | — |
| 571 | C4×D4 | — | 2 | 1 | no | — |
| 572 | C4×D4 | — | 10 | 1 | no | — |
| 573 | C4×D4 | — | 10 | 1 | no | — |
| 574 | C4×D4 | — | 10 | 2 | no | — |
| 575 | C4×D4 | — | 10 | 2 | no | — |
| 576 | C4×D4 | — | 10 | 2 | no | — |
| 577 | C4×D4 | — | 10 | 1 | no | — |
| 578 | C4×D4 | — | 10 | 1 | no | — |
| 579 | C4×D4 | — | 10 | 1 | no | — |
| 580 | #117 | — | 5 | 1 | no | — |
| 581 | #117 | — | 5 | 1 | no | — |
| 582 | #117 | — | 5 | 1 | no | — |
| 583 | #117 | — | 5 | 1 | no | — |
| 584 | #117 | — | 10 | 2 | no | — |
| 585 | #117 | — | 10 | 1 | no | — |
| 586 | #117 | — | 10 | 1 | no | — |
| 587 | #117 | — | 10 | 1 | no | — |
| 588 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 589 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 590 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 591 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 592 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 593 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 594 | C2×C22⋊C4 | — | 5 | 2 | no | — |
| 595 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 596 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 597 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 598 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 599 | C2×C42 | — | 10 | 1 | no | — |
| 600 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 601 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 602 | #104 | — | 4 | 1 | no | — |
| 603 | #104 | — | 4 | 1 | no | — |
| 604 | #103 | — | 10 | 1 | no | — |
| 605 | #103 | — | 10 | 1 | no | — |
| 606 | #103 | — | 10 | 1 | no | — |
| 607 | #103 | — | 10 | 1 | no | — |
| 608 | #103 | — | 10 | 1 | no | — |
| 609 | #103 | — | 10 | 1 | no | — |
| 610 | #102 | — | 10 | 1 | no | — |
| 611 | #102 | — | 10 | 1 | no | — |
| 612 | #102 | — | 10 | 1 | no | — |
| 613 | #102 | — | 10 | 1 | no | — |
| 614 | #102 | — | 10 | 1 | no | — |
| 615 | #102 | — | 10 | 1 | no | — |
| 616 | #100 | — | 20 | 1 | no | — |
| 617 | #100 | — | 20 | 1 | no | — |
| 618 | C22⋊C8 | — | 10 | 1 | no | — |
| 619 | C22⋊C8 | — | 10 | 1 | no | — |
| 620 | #95 | — | 2 | 1 | no | — |
| 621 | #95 | — | 10 | 2 | no | — |
| 622 | C22×C5 | — | 2 | 1 | no | — |
| 623 | C22×C5 | — | 2 | 1 | no | — |
| 624 | C22×C5 | — | 2 | 1 | no | — |
| 625 | C22×C5 | — | 2 | 1 | no | — |
| 626 | C22×C5 | — | 2 | 1 | no | — |
| 627 | C22×C5 | — | 2 | 1 | no | — |
| 628 | C22×C5 | — | 2 | 1 | no | — |
| 629 | C22×C5 | — | 2 | 1 | no | — |
| 630 | C22×C5 | — | 4 | 1 | no | — |
| 631 | C22×C5 | — | 4 | 1 | no | — |
| 632 | C22×C5 | — | 4 | 1 | no | — |
| 633 | C22×C5 | — | 8 | 1 | no | — |
| 634 | C22×C5 | — | 8 | 1 | no | — |
| 635 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 636 | C22×C5 | #546 | 1 | 1 | yes | characteristic |
| 637 | C22×C5 | #546 | 1 | 1 | yes | characteristic |
| 638 | C2×D5 | — | 4 | 4 | no | — |
| 639 | C2×D5 | — | 4 | 2 | no | — |
| 640 | C2×D5 | — | 4 | 2 | no | — |
| 641 | C2×D5 | — | 4 | 2 | no | — |
| 642 | C2×D5 | — | 4 | 2 | no | — |
| 643 | C2×D5 | — | 8 | 2 | no | — |
| 644 | C2×D5 | — | 8 | 1 | no | — |
| 645 | C2×D5 | — | 8 | 1 | no | — |
| 646 | C2×D5 | — | 8 | 2 | no | — |
| 647 | C2×D5 | — | 8 | 2 | no | — |
| 648 | C4×C5 | — | 2 | 1 | no | — |
| 649 | C4×C5 | — | 2 | 1 | no | — |
| 650 | C4×C5 | — | 4 | 2 | no | — |
| 651 | C4×C5 | — | 4 | 1 | no | — |
| 652 | C4×C5 | — | 4 | 1 | no | — |
| 653 | C4×C5 | — | 4 | 1 | no | — |
| 654 | C4×C5 | — | 8 | 1 | no | — |
| 655 | C4×C5 | #525 | 1 | 1 | yes | characteristic |
| 656 | C4×C5 | #535 | 1 | 1 | yes | characteristic |
| 657 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 658 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 659 | Dic5 | — | 4 | 2 | no | — |
| 660 | Dic5 | — | 4 | 1 | no | — |
| 661 | Dic5 | — | 4 | 1 | no | — |
| 662 | Dic5 | — | 4 | 1 | no | — |
| 663 | Dic5 | — | 4 | 2 | no | — |
| 664 | Dic5 | — | 4 | 1 | no | — |
| 665 | C24 | — | 5 | 2 | no | — |
| 666 | C24 | — | 10 | 1 | no | — |
| 667 | C24 | D4×D5 | 1 | 1 | yes | characteristic |
| 668 | #41 | — | 2 | 1 | no | — |
| 669 | #41 | — | 2 | 1 | no | — |
| 670 | #41 | — | 2 | 1 | no | — |
| 671 | #41 | — | 2 | 1 | no | — |
| 672 | #41 | — | 10 | 4 | no | — |
| 673 | #41 | — | 10 | 4 | no | — |
| 674 | #41 | — | 20 | 2 | no | — |
| 675 | #41 | — | 20 | 2 | no | — |
| 676 | #41 | — | 20 | 2 | no | — |
| 677 | #41 | — | 20 | 2 | no | — |
| 678 | #41 | — | 20 | 2 | no | — |
| 679 | #41 | — | 20 | 2 | no | — |
| 680 | #41 | — | 40 | 4 | no | — |
| 681 | C2×Q8 | — | 5 | 2 | no | — |
| 682 | C2×Q8 | — | 10 | 2 | no | — |
| 683 | C2×Q8 | — | 10 | 1 | no | — |
| 684 | C2×Q8 | — | 10 | 1 | no | — |
| 685 | C2×Q8 | — | 10 | 1 | no | — |
| 686 | C2×Q8 | — | 10 | 1 | no | — |
| 687 | C2×Q8 | — | 10 | 1 | no | — |
| 688 | C2×Q8 | C2×D20 | 1 | 1 | yes | characteristic |
| 689 | C2×D4 | — | 2 | 1 | no | — |
| 690 | C2×D4 | — | 2 | 1 | no | — |
| 691 | C2×D4 | — | 2 | 1 | no | — |
| 692 | C2×D4 | — | 5 | 2 | no | — |
| 693 | C2×D4 | — | 10 | 2 | no | — |
| 694 | C2×D4 | — | 10 | 2 | no | — |
| 695 | C2×D4 | — | 10 | 2 | no | — |
| 696 | C2×D4 | — | 10 | 2 | no | — |
| 697 | C2×D4 | — | 10 | 1 | no | — |
| 698 | C2×D4 | — | 10 | 1 | no | — |
| 699 | C2×D4 | — | 10 | 1 | no | — |
| 700 | C2×D4 | — | 10 | 1 | no | — |
| 701 | C2×D4 | — | 10 | 1 | no | — |
| 702 | C2×D4 | — | 10 | 1 | no | — |
| 703 | C2×D4 | — | 10 | 1 | no | — |
| 704 | C2×D4 | — | 10 | 1 | no | — |
| 705 | C2×D4 | — | 10 | 1 | no | — |
| 706 | C2×D4 | — | 10 | 1 | no | — |
| 707 | C2×D4 | — | 10 | 1 | no | — |
| 708 | C2×D4 | — | 20 | 4 | no | — |
| 709 | C2×D4 | — | 20 | 4 | no | — |
| 710 | C2×D4 | — | 20 | 2 | no | — |
| 711 | C2×D4 | — | 20 | 2 | no | — |
| 712 | C2×D4 | — | 20 | 1 | no | — |
| 713 | C2×D4 | — | 20 | 1 | no | — |
| 714 | C2×D4 | — | 40 | 2 | no | — |
| 715 | C2×D4 | — | 40 | 2 | no | — |
| 716 | C2×D4 | C2×D20 | 1 | 1 | yes | characteristic |
| 717 | C22×C4 | — | 2 | 1 | no | — |
| 718 | C22×C4 | — | 2 | 1 | no | — |
| 719 | C22×C4 | — | 2 | 1 | no | — |
| 720 | C22×C4 | — | 2 | 1 | no | — |
| 721 | C22×C4 | — | 2 | 1 | no | — |
| 722 | C22×C4 | — | 2 | 1 | no | — |
| 723 | C22×C4 | — | 2 | 1 | no | — |
| 724 | C22×C4 | — | 5 | 2 | no | — |
| 725 | C22×C4 | — | 10 | 2 | no | — |
| 726 | C22×C4 | — | 10 | 2 | no | — |
| 727 | C22×C4 | — | 10 | 1 | no | — |
| 728 | C22×C4 | — | 10 | 1 | no | — |
| 729 | C22×C4 | — | 10 | 2 | no | — |
| 730 | C22×C4 | — | 10 | 1 | no | — |
| 731 | C22×C4 | — | 20 | 2 | no | — |
| 732 | C22×C4 | — | 20 | 2 | no | — |
| 733 | C22×C4 | — | 20 | 1 | no | — |
| 734 | C22×C4 | — | 20 | 1 | no | — |
| 735 | C22×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 736 | C22×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 737 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 738 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 739 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 740 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 741 | Q16 | — | 20 | 2 | no | — |
| 742 | SD16 | — | 20 | 2 | no | — |
| 743 | SD16 | — | 20 | 2 | no | — |
| 744 | D8 | — | 20 | 2 | no | — |
| 745 | M16 | — | 2 | 1 | no | — |
| 746 | M16 | — | 2 | 1 | no | — |
| 747 | M16 | — | 2 | 1 | no | — |
| 748 | M16 | — | 2 | 1 | no | — |
| 749 | M16 | — | 4 | 2 | no | — |
| 750 | M16 | — | 10 | 1 | no | — |
| 751 | M16 | — | 10 | 1 | no | — |
| 752 | M16 | — | 10 | 1 | no | — |
| 753 | M16 | — | 10 | 1 | no | — |
| 754 | C2×C8 | — | 2 | 1 | no | — |
| 755 | C2×C8 | — | 2 | 1 | no | — |
| 756 | C2×C8 | — | 4 | 2 | no | — |
| 757 | C2×C8 | — | 10 | 1 | no | — |
| 758 | C2×C8 | — | 10 | 1 | no | — |
| 759 | C4⋊C4 | — | 2 | 1 | no | — |
| 760 | C4⋊C4 | — | 2 | 1 | no | — |
| 761 | C4⋊C4 | — | 5 | 1 | no | — |
| 762 | C4⋊C4 | — | 5 | 1 | no | — |
| 763 | C4⋊C4 | — | 5 | 1 | no | — |
| 764 | C4⋊C4 | — | 5 | 1 | no | — |
| 765 | C4⋊C4 | — | 10 | 2 | no | — |
| 766 | C4⋊C4 | — | 10 | 2 | no | — |
| 767 | C4⋊C4 | — | 10 | 2 | no | — |
| 768 | C4⋊C4 | — | 10 | 2 | no | — |
| 769 | C4⋊C4 | — | 10 | 1 | no | — |
| 770 | C4⋊C4 | — | 10 | 1 | no | — |
| 771 | C4⋊C4 | — | 10 | 1 | no | — |
| 772 | C4⋊C4 | — | 10 | 1 | no | — |
| 773 | C4⋊C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 774 | C4⋊C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 775 | C22⋊C4 | — | 2 | 1 | no | — |
| 776 | C22⋊C4 | — | 2 | 1 | no | — |
| 777 | C22⋊C4 | — | 2 | 1 | no | — |
| 778 | C22⋊C4 | — | 2 | 1 | no | — |
| 779 | C22⋊C4 | — | 2 | 1 | no | — |
| 780 | C22⋊C4 | — | 4 | 2 | no | — |
| 781 | C22⋊C4 | — | 10 | 2 | no | — |
| 782 | C22⋊C4 | — | 10 | 2 | no | — |
| 783 | C22⋊C4 | — | 10 | 2 | no | — |
| 784 | C22⋊C4 | — | 10 | 2 | no | — |
| 785 | C22⋊C4 | — | 10 | 2 | no | — |
| 786 | C22⋊C4 | — | 10 | 1 | no | — |
| 787 | C22⋊C4 | — | 10 | 1 | no | — |
| 788 | C22⋊C4 | — | 10 | 1 | no | — |
| 789 | C22⋊C4 | — | 10 | 1 | no | — |
| 790 | C22⋊C4 | — | 10 | 2 | no | — |
| 791 | C22⋊C4 | — | 10 | 2 | no | — |
| 792 | C22⋊C4 | — | 20 | 4 | no | — |
| 793 | C22⋊C4 | — | 40 | 2 | no | — |
| 794 | C42 | — | 2 | 1 | no | — |
| 795 | C42 | — | 2 | 1 | no | — |
| 796 | C42 | — | 2 | 1 | no | — |
| 797 | C42 | — | 2 | 1 | no | — |
| 798 | C42 | — | 2 | 1 | no | — |
| 799 | C42 | — | 10 | 2 | no | — |
| 800 | C42 | — | 10 | 1 | no | — |
| 801 | C42 | — | 10 | 1 | no | — |
| 802 | C42 | — | 10 | 1 | no | — |
| 803 | C42 | — | 10 | 1 | no | — |
| 804 | C2×C5 | — | 2 | 1 | no | — |
| 805 | C2×C5 | — | 2 | 1 | no | — |
| 806 | C2×C5 | — | 4 | 1 | no | — |
| 807 | C2×C5 | — | 4 | 1 | no | — |
| 808 | C2×C5 | — | 8 | 1 | no | — |
| 809 | C2×C5 | #2404 | 1 | 1 | yes | characteristic |
| 810 | C2×C5 | #3018 | 1 | 1 | yes | characteristic |
| 811 | C2×C5 | #3019 | 1 | 1 | yes | characteristic |
| 812 | D5 | — | 8 | 2 | no | — |
| 813 | D5 | — | 8 | 2 | no | — |
| 814 | C23 | — | 2 | 1 | no | — |
| 815 | C23 | — | 2 | 1 | no | — |
| 816 | C23 | — | 2 | 1 | no | — |
| 817 | C23 | — | 4 | 1 | no | — |
| 818 | C23 | — | 4 | 1 | no | — |
| 819 | C23 | — | 10 | 2 | no | — |
| 820 | C23 | — | 10 | 2 | no | — |
| 821 | C23 | — | 10 | 2 | no | — |
| 822 | C23 | — | 10 | 2 | no | — |
| 823 | C23 | — | 20 | 2 | no | — |
| 824 | C23 | — | 20 | 2 | no | — |
| 825 | C23 | — | 20 | 2 | no | — |
| 826 | C23 | — | 20 | 2 | no | — |
| 827 | C23 | — | 20 | 1 | no | — |
| 828 | C23 | — | 20 | 1 | no | — |
| 829 | C23 | #4028 | 1 | 1 | yes | characteristic |
| 830 | C23 | #4028 | 1 | 1 | yes | characteristic |
| 831 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 832 | Q8 | — | 2 | 1 | no | — |
| 833 | Q8 | — | 2 | 1 | no | — |
| 834 | Q8 | — | 10 | 2 | no | — |
| 835 | Q8 | — | 10 | 2 | no | — |
| 836 | Q8 | — | 20 | 1 | no | — |
| 837 | Q8 | — | 20 | 1 | no | — |
| 838 | Q8 | — | 40 | 2 | no | — |
| 839 | D4 | — | 2 | 1 | no | — |
| 840 | D4 | — | 2 | 1 | no | — |
| 841 | D4 | — | 4 | 2 | no | — |
| 842 | D4 | — | 4 | 1 | no | — |
| 843 | D4 | — | 4 | 1 | no | — |
| 844 | D4 | — | 8 | 1 | no | — |
| 845 | D4 | — | 10 | 2 | no | — |
| 846 | D4 | — | 10 | 2 | no | — |
| 847 | D4 | — | 20 | 4 | no | — |
| 848 | D4 | — | 20 | 4 | no | — |
| 849 | D4 | — | 20 | 4 | no | — |
| 850 | D4 | — | 20 | 1 | no | — |
| 851 | D4 | — | 20 | 1 | no | — |
| 852 | D4 | — | 20 | 1 | no | — |
| 853 | D4 | — | 20 | 1 | no | — |
| 854 | D4 | — | 20 | 1 | no | — |
| 855 | D4 | — | 20 | 1 | no | — |
| 856 | D4 | — | 40 | 8 | no | — |
| 857 | D4 | — | 40 | 2 | no | — |
| 858 | D4 | — | 40 | 2 | no | — |
| 859 | D4 | — | 40 | 2 | no | — |
| 860 | C2×C4 | — | 2 | 1 | no | — |
| 861 | C2×C4 | — | 2 | 1 | no | — |
| 862 | C2×C4 | — | 2 | 1 | no | — |
| 863 | C2×C4 | — | 2 | 1 | no | — |
| 864 | C2×C4 | — | 2 | 1 | no | — |
| 865 | C2×C4 | — | 2 | 1 | no | — |
| 866 | C2×C4 | — | 2 | 1 | no | — |
| 867 | C2×C4 | — | 2 | 1 | no | — |
| 868 | C2×C4 | — | 2 | 1 | no | — |
| 869 | C2×C4 | — | 2 | 1 | no | — |
| 870 | C2×C4 | — | 2 | 2 | no | — |
| 871 | C2×C4 | — | 2 | 1 | no | — |
| 872 | C2×C4 | — | 2 | 1 | no | — |
| 873 | C2×C4 | — | 2 | 1 | no | — |
| 874 | C2×C4 | — | 4 | 1 | no | — |
| 875 | C2×C4 | — | 4 | 1 | no | — |
| 876 | C2×C4 | — | 4 | 1 | no | — |
| 877 | C2×C4 | — | 4 | 1 | no | — |
| 878 | C2×C4 | — | 4 | 1 | no | — |
| 879 | C2×C4 | — | 4 | 1 | no | — |
| 880 | C2×C4 | — | 4 | 1 | no | — |
| 881 | C2×C4 | — | 10 | 1 | no | — |
| 882 | C2×C4 | — | 10 | 1 | no | — |
| 883 | C2×C4 | — | 10 | 1 | no | — |
| 884 | C2×C4 | — | 10 | 1 | no | — |
| 885 | C2×C4 | — | 10 | 2 | no | — |
| 886 | C2×C4 | — | 10 | 2 | no | — |
| 887 | C2×C4 | — | 20 | 4 | no | — |
| 888 | C2×C4 | — | 20 | 4 | no | — |
| 889 | C2×C4 | — | 20 | 2 | no | — |
| 890 | C2×C4 | — | 20 | 1 | no | — |
| 891 | C2×C4 | — | 20 | 1 | no | — |
| 892 | C2×C4 | — | 20 | 2 | no | — |
| 893 | C2×C4 | — | 40 | 2 | no | — |
| 894 | C2×C4 | — | 40 | 2 | no | — |
| 895 | C2×C4 | — | 40 | 1 | no | — |
| 896 | C2×C4 | — | 40 | 2 | no | — |
| 897 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 898 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 899 | C2×C4 | C22×D20 | 1 | 1 | yes | characteristic |
| 900 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 901 | C2×C4 | #4144 | 1 | 1 | yes | characteristic |
| 902 | C2×C4 | #4144 | 1 | 1 | yes | characteristic |
| 903 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 904 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 905 | C8 | — | 4 | 1 | no | — |
| 906 | C8 | — | 4 | 1 | no | — |
| 907 | C8 | — | 20 | 1 | no | — |
| 908 | C8 | — | 20 | 1 | no | — |
| 909 | C5 | #23956 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 910 | C22 | — | 2 | 1 | no | — |
| 911 | C22 | — | 2 | 1 | no | — |
| 912 | C22 | — | 2 | 1 | no | — |
| 913 | C22 | — | 2 | 1 | no | — |
| 914 | C22 | — | 2 | 1 | no | — |
| 915 | C22 | — | 2 | 1 | no | — |
| 916 | C22 | — | 2 | 1 | no | — |
| 917 | C22 | — | 2 | 1 | no | — |
| 918 | C22 | — | 4 | 1 | no | — |
| 919 | C22 | — | 4 | 1 | no | — |
| 920 | C22 | — | 4 | 1 | no | — |
| 921 | C22 | — | 8 | 1 | no | — |
| 922 | C22 | — | 8 | 1 | no | — |
| 923 | C22 | — | 20 | 4 | no | — |
| 924 | C22 | — | 20 | 2 | no | — |
| 925 | C22 | — | 20 | 2 | no | — |
| 926 | C22 | — | 20 | 2 | no | — |
| 927 | C22 | — | 20 | 2 | no | — |
| 928 | C22 | — | 40 | 2 | no | — |
| 929 | C22 | — | 40 | 2 | no | — |
| 930 | C22 | — | 40 | 2 | no | — |
| 931 | C22 | — | 40 | 1 | no | — |
| 932 | C22 | — | 40 | 1 | no | — |
| 933 | C22 | C2×#4028 | 1 | 1 | yes | characteristic |
| 934 | C22 | #65944 | 1 | 1 | yes | characteristic |
| 935 | C22 | #65944 | 1 | 1 | yes | characteristic |
| 936 | C4 | — | 2 | 1 | no | — |
| 937 | C4 | — | 2 | 1 | no | — |
| 938 | C4 | — | 4 | 2 | no | — |
| 939 | C4 | — | 4 | 1 | no | — |
| 940 | C4 | — | 4 | 1 | no | — |
| 941 | C4 | — | 4 | 1 | no | — |
| 942 | C4 | — | 8 | 1 | no | — |
| 943 | C4 | — | 20 | 2 | no | — |
| 944 | C4 | — | 20 | 1 | no | — |
| 945 | C4 | — | 20 | 1 | no | — |
| 946 | C4 | — | 20 | 1 | no | — |
| 947 | C4 | — | 20 | 1 | no | — |
| 948 | C4 | — | 20 | 2 | no | — |
| 949 | C4 | #65888 | 1 | 1 | yes | characteristic |
| 950 | C4 | #65888 | 1 | 1 | yes | characteristic |
| 951 | C4 | #65926 | 1 | 1 | yes | characteristic |
| 952 | C4 | #65990 | 1 | 1 | yes | characteristic |
| 953 | C2 | — | 2 | 1 | no | — |
| 954 | C2 | — | 2 | 1 | no | — |
| 955 | C2 | — | 4 | 1 | no | — |
| 956 | C2 | — | 4 | 1 | no | — |
| 957 | C2 | — | 8 | 1 | no | — |
| 958 | C2 | — | 40 | 2 | no | — |
| 959 | C2 | — | 40 | 2 | no | — |
| 960 | C2 | #10606616 | 1 | 1 | yes | characteristic |
| 961 | C2 | #10610717 | 1 | 1 | yes | characteristic |
| 962 | C2 | #10610724 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10617928 | C2 | semidirect |
| 2. #10615499 | C2 | semidirect |
| 3. #10614659 | C2 | semidirect |
| 4. #10605317 | C2 | semidirect |
| 5. C5×#1871 | C2 | semidirect |
| 6. #10602795 | C2 | semidirect |
| 7. #10601179 | C2 | semidirect |
| 8. #10601178 | C2 | semidirect |
| 9. #10601159 | C2 | semidirect |
| 10. #10601158 | C2 | semidirect |
| 11. #10600235 | C2 | semidirect |
| 12. #10599562 | C2 | semidirect |
| 13. #10599556 | C2 | semidirect |
| 14. #10599553 | C2 | semidirect |
| 15. #10599552 | C2 | semidirect |
| 97. C5×C22⋊Q8 | D4 | semidirect |
| 98. C5×C22⋊Q8 | D4 | semidirect |
| 99. C5×#121 | D4 | semidirect |
| 100. C5×#121 | D4 | semidirect |
| 138. #4072 | D4 | semidirect |
| 139. #4072 | D4 | semidirect |
| 143. C2×C4⋊Dic5 | D4 | semidirect |
| 144. C2×C4⋊Dic5 | D4 | semidirect |
| 208. #1871 | D5 | semidirect |
| 272. C2×D20 | #41 | semidirect |
| 285. C2×Dic10 | #41 | semidirect |
| 554. C22⋊Q8 | D20 | semidirect |
| 555. C22⋊Q8 | D20 | semidirect |
| 565. #121 | D20 | semidirect |
| 566. #121 | D20 | semidirect |
| 909. C5 | #23956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617928 | 2 |
| #10615499 | 2 |
| #10614659 | 2 |
| #10605317 | 2 |
| C5×#1871 | 2 |
| #10602795 | 2 |
| #10601179 | 2 |
| #10601178 | 2 |
| #10601159 | 2 |
| #10601158 | 2 |
| #10600235 | 2 |
| #10599562 | 2 |
| #10599556 | 2 |
| #10599553 | 2 |
| #10599552 | 2 |
| #23956 | 5 |