Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2208 conjugacy classes of subgroups.
The subgroup lattice has 984 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10618096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10617739 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#3038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10615680 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10615671 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×#65361 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10614256 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10612123 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10612121 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10612119 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10612071 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #10612069 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #10612067 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #10610786 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10610771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10610659 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #10610651 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | C2×#4144 | C22 | 1 | 2 | yes | — |
| 19 | C2×C5×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 20 | C2×C5×#127 | C22 | 1 | 1 | yes | characteristic |
| 21 | C4×C5×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #66167 | C22 | 1 | 1 | yes | characteristic |
| 23 | #66164 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#4096 | C22 | 1 | 2 | yes | complemented |
| 25 | #66139 | C22 | 1 | 2 | yes | — |
| 26 | D4×C22⋊D5 | — | 2 | 2 | no | — |
| 27 | D4×C22⋊D5 | — | 2 | 2 | no | — |
| 28 | C22×#686 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×#4054 | C22 | 1 | 2 | yes | complemented |
| 30 | #66052 | — | 2 | 1 | no | — |
| 31 | #66052 | — | 2 | 1 | no | — |
| 32 | #66051 | — | 2 | 1 | no | — |
| 33 | #66051 | — | 2 | 1 | no | — |
| 34 | #66050 | C22 | 1 | 2 | yes | complemented |
| 35 | #66049 | C22 | 1 | 4 | yes | complemented |
| 36 | D5×#127 | C22 | 1 | 2 | yes | complemented |
| 37 | #65916 | C22 | 1 | 2 | yes | complemented |
| 38 | #65914 | C22 | 1 | 2 | yes | complemented |
| 39 | #65896 | C22 | 1 | 2 | yes | complemented |
| 40 | #65894 | — | 2 | 2 | no | — |
| 41 | #65882 | C22 | 1 | 2 | yes | complemented |
| 42 | #65881 | — | 2 | 2 | no | — |
| 43 | #65869 | — | 2 | 1 | no | — |
| 44 | #65868 | — | 2 | 1 | no | — |
| 45 | #65859 | C22 | 1 | 1 | yes | characteristic |
| 46 | #65853 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #65813 | — | 2 | 1 | no | — |
| 48 | #65811 | — | 2 | 1 | no | — |
| 49 | #65811 | C22 | 1 | 1 | yes | characteristic |
| 50 | C4×#709 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×C4×D20 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C5×#460 | C22 | 1 | 2 | yes | complemented |
| 53 | C5×#460 | C22 | 1 | 2 | yes | complemented |
| 54 | C5×#459 | C22 | 1 | 2 | yes | complemented |
| 55 | C5×#459 | C22 | 1 | 2 | yes | complemented |
| 56 | C5×#423 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C5×#418 | C22 | 1 | 2 | yes | complemented |
| 58 | C2×#3964 | C22 | 1 | 2 | yes | complemented |
| 59 | #65465 | C22 | 1 | 4 | yes | complemented |
| 60 | #65462 | C22 | 1 | 4 | yes | complemented |
| 61 | #65458 | C22 | 1 | 4 | yes | complemented |
| 62 | #65457 | C22 | 1 | 4 | yes | complemented |
| 63 | #65447 | C22 | 1 | 4 | yes | complemented |
| 64 | #65445 | C22 | 1 | 4 | yes | complemented |
| 65 | #65443 | C22 | 1 | 4 | yes | complemented |
| 66 | #65440 | C22 | 1 | 4 | yes | complemented |
| 67 | #65422 | C22 | 1 | 2 | yes | complemented |
| 68 | #65418 | C22 | 1 | 2 | yes | — |
| 69 | #65411 | C22 | 1 | 2 | yes | complemented |
| 70 | #65361 | C22 | 1 | 2 | yes | complemented |
| 71 | #65361 | C22 | 1 | 2 | yes | complemented |
| 72 | #65361 | C22 | 1 | 4 | yes | complemented |
| 73 | #65320 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | #65317 | C22 | 1 | 2 | yes | complemented |
| 75 | #65316 | C22 | 1 | 1 | yes | characteristic, complemented |
| 76 | #65308 | C22 | 1 | 1 | yes | characteristic, complemented |
| 77 | #65305 | C22 | 1 | 2 | yes | complemented |
| 78 | #65304 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | #65291 | C22 | 1 | 2 | yes | complemented |
| 80 | C2×C4⋊#168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 81 | #65133 | C22 | 1 | 4 | yes | complemented |
| 82 | #65132 | C22 | 1 | 2 | yes | complemented |
| 83 | #65130 | C22 | 1 | 2 | yes | complemented |
| 84 | #65129 | C22 | 1 | 4 | yes | complemented |
| 85 | #65124 | C22 | 1 | 2 | yes | complemented |
| 86 | #65122 | C22 | 1 | 2 | yes | complemented |
| 87 | #65070 | C22 | 1 | 4 | yes | complemented |
| 88 | #65070 | C22 | 1 | 4 | yes | complemented |
| 89 | #65062 | C22 | 1 | 4 | yes | complemented |
| 90 | #65062 | C22 | 1 | 4 | yes | complemented |
| 91 | #65057 | C22 | 1 | 4 | yes | complemented |
| 92 | #65054 | C22 | 1 | 4 | yes | complemented |
| 93 | #65053 | C22 | 1 | 4 | yes | complemented |
| 94 | #65049 | C22 | 1 | 4 | yes | complemented |
| 95 | #60832 | — | 5 | 1 | no | maximal, Sylow |
| 96 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×C5×D4 | — | 2 | 1 | no | — |
| 98 | C22×C5×D4 | — | 2 | 1 | no | — |
| 99 | C22×C5×D4 | C23 | 1 | 2 | yes | — |
| 100 | C22×C22⋊D5 | — | 2 | 4 | no | — |
| 101 | #4144 | — | 4 | 4 | no | — |
| 102 | #4144 | — | 4 | 4 | no | — |
| 103 | C2×#711 | — | 2 | 2 | no | — |
| 104 | C2×#711 | C23 | 1 | 4 | yes | — |
| 105 | C2×D4×D5 | — | 2 | 2 | no | — |
| 106 | C2×D4×D5 | — | 2 | 2 | no | — |
| 107 | C2×D4×D5 | — | 2 | 2 | no | — |
| 108 | C2×D4×D5 | C23 | 1 | 4 | yes | — |
| 109 | C2×#709 | — | 2 | 2 | no | — |
| 110 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×#709 | C23 | 1 | 2 | yes | — |
| 112 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 113 | C22×C4×D5 | — | 2 | 1 | no | — |
| 114 | C5×AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 115 | C2×C5×SD16 | C23 | 1 | 4 | yes | — |
| 116 | C2×C5×D8 | C23 | 1 | 4 | yes | — |
| 117 | C2×C5×M16 | C23 | 1 | 2 | yes | — |
| 118 | C5×#127 | — | 2 | 1 | no | — |
| 119 | C5×#127 | — | 2 | 1 | no | — |
| 120 | C5×#127 | C23 | 1 | 2 | yes | — |
| 121 | C5×#127 | C23 | 1 | 2 | yes | — |
| 122 | C4×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 123 | C4×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 124 | C4×C5×D4 | — | 2 | 1 | no | — |
| 125 | C4×C5×D4 | — | 2 | 1 | no | — |
| 126 | C4×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 127 | C4×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 128 | C5×#117 | — | 2 | 1 | no | — |
| 129 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×C42×C5 | — | 2 | 1 | no | — |
| 131 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 132 | #4099 | — | 2 | 4 | no | — |
| 133 | #4096 | — | 4 | 4 | no | — |
| 134 | #4093 | C23 | 1 | 2 | yes | — |
| 135 | #4092 | C23 | 1 | 2 | yes | — |
| 136 | C2×#689 | C23 | 1 | 2 | yes | — |
| 137 | C2×#688 | C23 | 1 | 2 | yes | — |
| 138 | #4086 | — | 2 | 2 | no | — |
| 139 | #4086 | — | 2 | 2 | no | — |
| 140 | #4086 | C23 | 1 | 4 | yes | — |
| 141 | #4086 | C23 | 1 | 2 | yes | — |
| 142 | #4085 | — | 2 | 2 | no | — |
| 143 | #4085 | — | 2 | 4 | no | — |
| 144 | #4085 | — | 2 | 4 | no | — |
| 145 | #4084 | — | 2 | 2 | no | — |
| 146 | #4084 | — | 2 | 2 | no | — |
| 147 | #4084 | — | 2 | 2 | no | — |
| 148 | #4084 | — | 2 | 2 | no | — |
| 149 | #4084 | C23 | 1 | 2 | yes | — |
| 150 | #4083 | — | 2 | 2 | no | — |
| 151 | #4083 | — | 2 | 4 | no | — |
| 152 | #4083 | — | 2 | 4 | no | — |
| 153 | #4082 | C23 | 1 | 4 | yes | — |
| 154 | D4×Dic5 | — | 2 | 2 | no | — |
| 155 | D4×Dic5 | — | 2 | 2 | no | — |
| 156 | C2×#687 | C23 | 1 | 2 | yes | — |
| 157 | C2×#686 | — | 4 | 4 | no | — |
| 158 | C2×#686 | C23 | 1 | 2 | yes | — |
| 159 | C2×#686 | C23 | 1 | 4 | yes | — |
| 160 | C2×#686 | C23 | 1 | 4 | yes | — |
| 161 | #4076 | — | 2 | 1 | no | — |
| 162 | #4076 | — | 2 | 1 | no | — |
| 163 | #4076 | — | 2 | 1 | no | — |
| 164 | #4076 | — | 2 | 2 | no | — |
| 165 | #4076 | — | 2 | 1 | no | — |
| 166 | #4076 | — | 2 | 1 | no | — |
| 167 | #4075 | — | 2 | 2 | no | — |
| 168 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 169 | C4×C22⋊D5 | D4 | 1 | 2 | yes | — |
| 170 | C4×C22⋊D5 | D4 | 1 | 2 | yes | — |
| 171 | C2×#685 | — | 2 | 1 | no | — |
| 172 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 173 | C2×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 174 | #4070 | — | 2 | 1 | no | — |
| 175 | C22×#168 | C23 | 1 | 2 | yes | — |
| 176 | #4054 | — | 4 | 4 | no | — |
| 177 | C2×D40 | C23 | 1 | 4 | yes | — |
| 178 | C2×#677 | C23 | 1 | 4 | yes | — |
| 179 | #4044 | — | 2 | 2 | no | — |
| 180 | #4042 | — | 2 | 2 | no | — |
| 181 | #4041 | C23 | 1 | 2 | yes | — |
| 182 | #4041 | C23 | 1 | 2 | yes | — |
| 183 | #4040 | — | 2 | 2 | no | — |
| 184 | #4040 | — | 2 | 2 | no | — |
| 185 | #4036 | C23 | 1 | 2 | yes | — |
| 186 | #4034 | C23 | 1 | 2 | yes | — |
| 187 | #4031 | — | 2 | 2 | no | — |
| 188 | #4030 | — | 2 | 2 | no | — |
| 189 | #4030 | — | 2 | 2 | no | — |
| 190 | #4029 | — | 2 | 2 | no | — |
| 191 | #4028 | — | 2 | 2 | no | — |
| 192 | #4024 | — | 2 | 2 | no | — |
| 193 | #4022 | — | 2 | 2 | no | — |
| 194 | #4021 | — | 2 | 1 | no | — |
| 195 | #4021 | — | 2 | 2 | no | — |
| 196 | #4021 | C23 | 1 | 2 | yes | — |
| 197 | #4020 | — | 2 | 1 | no | — |
| 198 | #4020 | C23 | 1 | 1 | yes | characteristic |
| 199 | C4×D20 | — | 2 | 2 | no | — |
| 200 | C4×D20 | — | 2 | 1 | no | — |
| 201 | C4×D20 | — | 2 | 1 | no | — |
| 202 | C4×D20 | — | 2 | 1 | no | — |
| 203 | C4×D20 | — | 2 | 1 | no | — |
| 204 | C4×D20 | D4 | 1 | 1 | yes | characteristic |
| 205 | C4×D20 | D4 | 1 | 1 | yes | characteristic |
| 206 | C4×D20 | C23 | 1 | 2 | yes | — |
| 207 | C4×D20 | C23 | 1 | 2 | yes | — |
| 208 | #4018 | — | 2 | 2 | no | — |
| 209 | #4018 | C23 | 1 | 2 | yes | — |
| 210 | C42×D5 | C23 | 1 | 2 | yes | — |
| 211 | #4016 | — | 2 | 1 | no | — |
| 212 | #4015 | — | 2 | 1 | no | — |
| 213 | #4015 | C23 | 1 | 1 | yes | characteristic |
| 214 | C4×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 215 | C4×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 216 | C5×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 217 | C5×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 218 | C5×#102 | C23 | 1 | 4 | yes | — |
| 219 | C5×#102 | C23 | 1 | 4 | yes | — |
| 220 | #3964 | C23 | 1 | 4 | yes | — |
| 221 | #3964 | C23 | 1 | 4 | yes | — |
| 222 | #3953 | C23 | 1 | 4 | yes | — |
| 223 | #3952 | C23 | 1 | 4 | yes | — |
| 224 | #3952 | C23 | 1 | 4 | yes | — |
| 225 | #3948 | C23 | 1 | 4 | yes | — |
| 226 | #3947 | C23 | 1 | 4 | yes | — |
| 227 | C8×Dic5 | C23 | 1 | 4 | yes | — |
| 228 | #3942 | C23 | 1 | 2 | yes | — |
| 229 | #3942 | C23 | 1 | 2 | yes | — |
| 230 | #3941 | C23 | 1 | 2 | yes | — |
| 231 | #3941 | C23 | 1 | 2 | yes | — |
| 232 | C4⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 233 | C4⋊#168 | C23 | 1 | 2 | yes | — |
| 234 | C4⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 235 | #3498 | — | 5 | 1 | no | — |
| 236 | #3460 | — | 5 | 1 | no | — |
| 237 | #3224 | — | 5 | 4 | no | — |
| 238 | #3220 | — | 5 | 4 | no | — |
| 239 | #3217 | — | 5 | 2 | no | — |
| 240 | #3214 | — | 5 | 2 | no | — |
| 241 | #3212 | — | 5 | 2 | no | — |
| 242 | #3205 | — | 5 | 2 | no | — |
| 243 | #3155 | — | 5 | 2 | no | — |
| 244 | #3136 | — | 5 | 2 | no | — |
| 245 | #3038 | D5 | 1 | 1 | yes | characteristic, complemented |
| 246 | #3036 | — | 5 | 1 | no | — |
| 247 | #3035 | — | 5 | 1 | no | — |
| 248 | C2×#459 | — | 5 | 1 | no | — |
| 249 | #3012 | — | 5 | 2 | no | — |
| 250 | #3008 | — | 5 | 2 | no | — |
| 251 | #2925 | — | 5 | 1 | no | — |
| 252 | C24×C5 | — | 2 | 2 | no | — |
| 253 | C23×D5 | — | 2 | 1 | no | — |
| 254 | C23×D5 | — | 2 | 4 | no | — |
| 255 | C5×#41 | — | 2 | 2 | no | — |
| 256 | C5×#41 | — | 2 | 2 | no | — |
| 257 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 258 | C2×C5×D4 | — | 2 | 1 | no | — |
| 259 | C2×C5×D4 | — | 2 | 2 | no | — |
| 260 | C2×C5×D4 | — | 2 | 2 | no | — |
| 261 | C2×C5×D4 | — | 2 | 2 | no | — |
| 262 | C2×C5×D4 | — | 2 | 2 | no | — |
| 263 | C2×C5×D4 | — | 2 | 2 | no | — |
| 264 | C2×C5×D4 | — | 2 | 4 | no | — |
| 265 | C2×C5×D4 | — | 2 | 4 | no | — |
| 266 | C2×C5×D4 | — | 8 | 2 | no | — |
| 267 | C2×C5×D4 | — | 8 | 2 | no | — |
| 268 | C2×C5×D4 | C24 | 1 | 1 | yes | characteristic |
| 269 | C2×C5×D4 | C24 | 1 | 4 | yes | — |
| 270 | C22×C4×C5 | — | 2 | 1 | no | — |
| 271 | C22×C4×C5 | — | 2 | 1 | no | — |
| 272 | C22×C4×C5 | — | 2 | 1 | no | — |
| 273 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 276 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 277 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 278 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 279 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 280 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 281 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 282 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 283 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 284 | C2×C22⋊D5 | — | 4 | 16 | no | — |
| 285 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 286 | C22×Dic5 | — | 2 | 1 | no | — |
| 287 | C22×Dic5 | — | 2 | 4 | no | — |
| 288 | #711 | — | 4 | 4 | no | — |
| 289 | #711 | — | 4 | 4 | no | — |
| 290 | #711 | — | 4 | 8 | no | — |
| 291 | D4×D5 | — | 4 | 4 | no | — |
| 292 | D4×D5 | — | 4 | 4 | no | — |
| 293 | D4×D5 | — | 4 | 8 | no | — |
| 294 | D4×D5 | — | 8 | 4 | no | — |
| 295 | D4×D5 | — | 8 | 4 | no | — |
| 296 | #709 | — | 2 | 2 | no | — |
| 297 | #709 | — | 2 | 2 | no | — |
| 298 | #709 | — | 2 | 4 | no | — |
| 299 | #709 | — | 2 | 4 | no | — |
| 300 | #709 | — | 8 | 4 | no | — |
| 301 | C2×D20 | — | 2 | 2 | no | — |
| 302 | C2×D20 | — | 2 | 2 | no | — |
| 303 | C2×D20 | — | 2 | 1 | no | — |
| 304 | C2×D20 | — | 2 | 1 | no | — |
| 305 | C2×D20 | — | 2 | 1 | no | — |
| 306 | C2×D20 | — | 2 | 2 | no | — |
| 307 | C2×D20 | — | 2 | 2 | no | — |
| 308 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 309 | C2×D20 | C24 | 1 | 2 | yes | — |
| 310 | C2×D20 | C24 | 1 | 2 | yes | — |
| 311 | C2×C4×D5 | — | 2 | 2 | no | — |
| 312 | C2×C4×D5 | — | 2 | 2 | no | — |
| 313 | C2×C4×D5 | — | 2 | 2 | no | — |
| 314 | C2×C4×D5 | — | 8 | 2 | no | — |
| 315 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 316 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 317 | C2×C4×D5 | C24 | 1 | 2 | yes | — |
| 318 | C2×Dic10 | — | 2 | 2 | no | — |
| 319 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 320 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 321 | C5×SD16 | — | 4 | 4 | no | — |
| 322 | C5×D8 | — | 4 | 4 | no | — |
| 323 | C5×M16 | — | 2 | 4 | no | — |
| 324 | C2×C5×C8 | C24 | 1 | 4 | yes | — |
| 325 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 326 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 327 | C5×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 328 | C5×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 329 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 330 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 331 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 332 | C42×C5 | — | 2 | 1 | no | — |
| 333 | C42×C5 | — | 2 | 1 | no | — |
| 334 | C42×C5 | — | 2 | 1 | no | — |
| 335 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 336 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 337 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 338 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 339 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 340 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 341 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 342 | C22⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 343 | #689 | — | 4 | 2 | no | — |
| 344 | #688 | — | 4 | 2 | no | — |
| 345 | #687 | — | 4 | 2 | no | — |
| 346 | #686 | — | 4 | 2 | no | — |
| 347 | #686 | — | 4 | 4 | no | — |
| 348 | #686 | — | 4 | 4 | no | — |
| 349 | #685 | — | 2 | 2 | no | — |
| 350 | #685 | — | 2 | 2 | no | — |
| 351 | #685 | — | 2 | 2 | no | — |
| 352 | #685 | — | 2 | 2 | no | — |
| 353 | #685 | — | 2 | 2 | no | — |
| 354 | #685 | — | 2 | 2 | no | — |
| 355 | #685 | — | 2 | 2 | no | — |
| 356 | #685 | — | 2 | 2 | no | — |
| 357 | #685 | — | 2 | 2 | no | — |
| 358 | #685 | C2×D4 | 1 | 2 | yes | — |
| 359 | #685 | C2×D4 | 1 | 2 | yes | — |
| 360 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 361 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 362 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 363 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 364 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 365 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 366 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 367 | #683 | — | 2 | 2 | no | — |
| 368 | #683 | — | 2 | 2 | no | — |
| 369 | #683 | — | 2 | 2 | no | — |
| 370 | #683 | C2×D4 | 1 | 2 | yes | — |
| 371 | #683 | C2×D4 | 1 | 2 | yes | — |
| 372 | C4×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 373 | C4×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 374 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 375 | C2×#168 | — | 2 | 4 | no | — |
| 376 | C2×#168 | C24 | 1 | 2 | yes | — |
| 377 | C2×#168 | C24 | 1 | 2 | yes | — |
| 378 | D40 | — | 4 | 4 | no | — |
| 379 | #677 | — | 4 | 4 | no | — |
| 380 | C2×H(5,𝔽2) | — | 5 | 2 | no | — |
| 381 | C2×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 382 | C2×AGL(1,ℤ/8) | C2×D5 | 1 | 2 | yes | complemented |
| 383 | C2×#135 | — | 5 | 2 | no | — |
| 384 | C22×D8 | — | 5 | 2 | no | — |
| 385 | #550 | — | 10 | 1 | no | — |
| 386 | #550 | — | 10 | 1 | no | — |
| 387 | D42 | — | 10 | 1 | no | — |
| 388 | D42 | — | 10 | 1 | no | — |
| 389 | D42 | — | 10 | 2 | no | — |
| 390 | D42 | — | 10 | 2 | no | — |
| 391 | #544 | — | 5 | 1 | no | — |
| 392 | #542 | — | 5 | 2 | no | — |
| 393 | #542 | — | 10 | 1 | no | — |
| 394 | #540 | — | 5 | 2 | no | — |
| 395 | #540 | — | 10 | 1 | no | — |
| 396 | #538 | — | 10 | 2 | no | — |
| 397 | #537 | — | 5 | 1 | no | — |
| 398 | #535 | — | 5 | 1 | no | — |
| 399 | #535 | — | 5 | 2 | no | — |
| 400 | #535 | — | 5 | 4 | no | — |
| 401 | #535 | — | 5 | 1 | no | — |
| 402 | #532 | — | 5 | 2 | no | — |
| 403 | #532 | — | 5 | 2 | no | — |
| 404 | #532 | — | 5 | 1 | no | — |
| 405 | #532 | — | 10 | 1 | no | — |
| 406 | C2×#127 | — | 5 | 2 | no | — |
| 407 | C2×#127 | C2×D5 | 1 | 1 | yes | characteristic |
| 408 | #529 | — | 5 | 2 | no | — |
| 409 | #529 | — | 10 | 1 | no | — |
| 410 | #525 | — | 10 | 2 | no | — |
| 411 | C4×#41 | — | 5 | 1 | no | — |
| 412 | C4×#41 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 413 | C2×C4×D4 | — | 5 | 1 | no | — |
| 414 | #496 | — | 5 | 4 | no | — |
| 415 | #496 | — | 5 | 4 | no | — |
| 416 | #495 | — | 5 | 4 | no | — |
| 417 | #493 | — | 5 | 4 | no | — |
| 418 | #490 | — | 5 | 4 | no | — |
| 419 | #489 | — | 5 | 4 | no | — |
| 420 | #488 | — | 5 | 4 | no | — |
| 421 | #486 | — | 5 | 4 | no | — |
| 422 | #464 | — | 5 | 2 | no | — |
| 423 | #463 | — | 5 | 2 | no | — |
| 424 | #463 | — | 5 | 4 | no | — |
| 425 | #462 | — | 5 | 1 | no | — |
| 426 | #461 | — | 5 | 1 | no | — |
| 427 | #461 | — | 5 | 2 | no | — |
| 428 | #460 | — | 5 | 1 | no | — |
| 429 | #460 | C2×D5 | 1 | 2 | yes | complemented |
| 430 | #460 | C2×D5 | 1 | 2 | yes | complemented |
| 431 | #459 | — | 5 | 2 | no | — |
| 432 | #459 | — | 5 | 2 | no | — |
| 433 | #459 | — | 5 | 4 | no | — |
| 434 | #459 | — | 5 | 1 | no | — |
| 435 | #459 | — | 5 | 2 | no | — |
| 436 | #459 | C2×D5 | 1 | 2 | yes | complemented |
| 437 | #459 | C2×D5 | 1 | 2 | yes | complemented |
| 438 | #452 | — | 5 | 4 | no | — |
| 439 | #450 | — | 5 | 4 | no | — |
| 440 | #449 | — | 5 | 4 | no | — |
| 441 | #449 | — | 5 | 4 | no | — |
| 442 | #449 | — | 5 | 4 | no | — |
| 443 | #447 | — | 5 | 4 | no | — |
| 444 | #447 | — | 5 | 4 | no | — |
| 445 | #447 | — | 5 | 4 | no | — |
| 446 | #433 | — | 5 | 4 | no | — |
| 447 | #432 | — | 5 | 2 | no | — |
| 448 | #431 | — | 5 | 2 | no | — |
| 449 | #423 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 450 | C2×C4⋊C8 | — | 5 | 1 | no | — |
| 451 | #418 | C2×D5 | 1 | 2 | yes | complemented |
| 452 | #417 | — | 5 | 2 | no | — |
| 453 | #416 | — | 5 | 2 | no | — |
| 454 | C2×#102 | — | 5 | 2 | no | — |
| 455 | #408 | — | 5 | 2 | no | — |
| 456 | #405 | — | 5 | 2 | no | — |
| 457 | C23×C5 | — | 2 | 1 | no | — |
| 458 | C23×C5 | — | 2 | 4 | no | — |
| 459 | C23×C5 | — | 4 | 4 | no | — |
| 460 | C23×C5 | — | 8 | 2 | no | — |
| 461 | C23×C5 | — | 8 | 2 | no | — |
| 462 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 463 | C22×D5 | — | 2 | 2 | no | — |
| 464 | C22×D5 | — | 2 | 2 | no | — |
| 465 | C22×D5 | — | 4 | 8 | no | — |
| 466 | C22×D5 | — | 4 | 2 | no | — |
| 467 | C22×D5 | — | 8 | 4 | no | — |
| 468 | C22×D5 | — | 8 | 4 | no | — |
| 469 | C22×D5 | — | 8 | 1 | no | — |
| 470 | C22×D5 | — | 8 | 1 | no | — |
| 471 | C22×D5 | C22×D4 | 1 | 2 | yes | — |
| 472 | C5×Q8 | — | 2 | 1 | no | — |
| 473 | C5×Q8 | — | 2 | 1 | no | — |
| 474 | C5×D4 | — | 2 | 1 | no | — |
| 475 | C5×D4 | — | 2 | 4 | no | — |
| 476 | C5×D4 | — | 2 | 1 | no | — |
| 477 | C5×D4 | — | 2 | 4 | no | — |
| 478 | C5×D4 | — | 4 | 4 | no | — |
| 479 | C5×D4 | — | 4 | 2 | no | — |
| 480 | C5×D4 | — | 4 | 4 | no | — |
| 481 | C5×D4 | — | 4 | 4 | no | — |
| 482 | C5×D4 | — | 8 | 2 | no | — |
| 483 | C5×D4 | — | 8 | 2 | no | — |
| 484 | C2×C4×C5 | — | 2 | 2 | no | — |
| 485 | C2×C4×C5 | — | 2 | 1 | no | — |
| 486 | C2×C4×C5 | — | 2 | 1 | no | — |
| 487 | C2×C4×C5 | — | 2 | 1 | no | — |
| 488 | C2×C4×C5 | — | 4 | 1 | no | — |
| 489 | C2×C4×C5 | — | 4 | 2 | no | — |
| 490 | C2×C4×C5 | — | 4 | 2 | no | — |
| 491 | C2×C4×C5 | — | 8 | 1 | no | — |
| 492 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 493 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 494 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 495 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 496 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 497 | C2×C4×C5 | H(5,𝔽2) | 1 | 2 | yes | — |
| 498 | C2×C4×C5 | H(5,𝔽2) | 1 | 2 | yes | — |
| 499 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 500 | C22⋊D5 | — | 2 | 4 | no | — |
| 501 | C22⋊D5 | — | 4 | 8 | no | — |
| 502 | C22⋊D5 | — | 4 | 8 | no | — |
| 503 | C22⋊D5 | — | 4 | 4 | no | — |
| 504 | C22⋊D5 | — | 8 | 2 | no | — |
| 505 | C22⋊D5 | — | 8 | 4 | no | — |
| 506 | C22⋊D5 | — | 8 | 4 | no | — |
| 507 | C22⋊D5 | — | 8 | 2 | no | — |
| 508 | C22⋊D5 | — | 8 | 2 | no | — |
| 509 | C2×Dic5 | — | 2 | 2 | no | — |
| 510 | C2×Dic5 | — | 2 | 2 | no | — |
| 511 | C2×Dic5 | — | 4 | 8 | no | — |
| 512 | C2×Dic5 | — | 8 | 1 | no | — |
| 513 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 514 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 515 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 516 | D20 | — | 2 | 2 | no | — |
| 517 | D20 | — | 2 | 2 | no | — |
| 518 | D20 | — | 2 | 2 | no | — |
| 519 | D20 | — | 2 | 2 | no | — |
| 520 | D20 | — | 2 | 2 | no | — |
| 521 | D20 | — | 4 | 2 | no | — |
| 522 | D20 | — | 4 | 2 | no | — |
| 523 | D20 | — | 4 | 2 | no | — |
| 524 | D20 | — | 8 | 2 | no | — |
| 525 | D20 | — | 8 | 2 | no | — |
| 526 | C4×D5 | — | 2 | 4 | no | — |
| 527 | C4×D5 | — | 2 | 2 | no | — |
| 528 | C4×D5 | — | 2 | 2 | no | — |
| 529 | C4×D5 | — | 4 | 2 | no | — |
| 530 | C4×D5 | — | 4 | 4 | no | — |
| 531 | C4×D5 | — | 4 | 4 | no | — |
| 532 | C4×D5 | — | 8 | 2 | no | — |
| 533 | Dic10 | — | 2 | 2 | no | — |
| 534 | Dic10 | — | 2 | 2 | no | — |
| 535 | Dic10 | — | 2 | 2 | no | — |
| 536 | Dic10 | — | 8 | 2 | no | — |
| 537 | C5×C8 | — | 2 | 4 | no | — |
| 538 | #168 | — | 2 | 2 | no | — |
| 539 | #168 | — | 2 | 2 | no | — |
| 540 | H(5,𝔽2) | — | 20 | 4 | no | — |
| 541 | H(5,𝔽2) | — | 20 | 4 | no | — |
| 542 | C2×#41 | — | 5 | 1 | no | — |
| 543 | C2×#41 | — | 5 | 4 | no | — |
| 544 | C2×#41 | — | 5 | 2 | no | — |
| 545 | C2×#41 | — | 10 | 2 | no | — |
| 546 | C2×#41 | — | 10 | 2 | no | — |
| 547 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 548 | C22×D4 | — | 2 | 1 | no | — |
| 549 | C22×D4 | — | 2 | 1 | no | — |
| 550 | C22×D4 | — | 5 | 4 | no | — |
| 551 | C22×D4 | — | 5 | 1 | no | — |
| 552 | C22×D4 | — | 10 | 2 | no | — |
| 553 | C22×D4 | — | 10 | 2 | no | — |
| 554 | C22×D4 | — | 10 | 2 | no | — |
| 555 | C22×D4 | — | 10 | 4 | no | — |
| 556 | C22×D4 | C22×D5 | 1 | 2 | yes | — |
| 557 | C23×C4 | — | 10 | 1 | no | — |
| 558 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 559 | AGL(1,ℤ/8) | — | 20 | 4 | no | — |
| 560 | #135 | — | 20 | 4 | no | — |
| 561 | C2×Q16 | — | 5 | 2 | no | — |
| 562 | C2×SD16 | — | 5 | 2 | no | — |
| 563 | C2×SD16 | — | 5 | 2 | no | — |
| 564 | C2×SD16 | — | 5 | 4 | no | — |
| 565 | C2×SD16 | C22×D5 | 1 | 4 | yes | — |
| 566 | C2×D8 | — | 5 | 4 | no | — |
| 567 | C2×D8 | — | 5 | 4 | no | — |
| 568 | C2×D8 | — | 5 | 2 | no | — |
| 569 | C2×D8 | — | 5 | 4 | no | — |
| 570 | C2×D8 | — | 20 | 4 | no | — |
| 571 | C2×D8 | C22×D5 | 1 | 4 | yes | — |
| 572 | C2×M16 | C22×D5 | 1 | 2 | yes | — |
| 573 | C22×C8 | — | 5 | 2 | no | — |
| 574 | C4⋊Q8 | — | 5 | 2 | no | — |
| 575 | C4⋊Q8 | — | 5 | 1 | no | — |
| 576 | C4⋊Q8 | — | 10 | 1 | no | — |
| 577 | #127 | — | 2 | 1 | no | — |
| 578 | #127 | — | 2 | 1 | no | — |
| 579 | #127 | — | 5 | 4 | no | — |
| 580 | #127 | — | 5 | 2 | no | — |
| 581 | #127 | — | 5 | 1 | no | — |
| 582 | #127 | — | 10 | 1 | no | — |
| 583 | #127 | — | 10 | 2 | no | — |
| 584 | #127 | — | 10 | 2 | no | — |
| 585 | #127 | C22×D5 | 1 | 2 | yes | — |
| 586 | #127 | C22×D5 | 1 | 2 | yes | — |
| 587 | #126 | — | 10 | 2 | no | — |
| 588 | #126 | — | 10 | 2 | no | — |
| 589 | #125 | — | 5 | 2 | no | — |
| 590 | #125 | — | 10 | 1 | no | — |
| 591 | #124 | — | 5 | 2 | no | — |
| 592 | #124 | — | 5 | 4 | no | — |
| 593 | #124 | — | 5 | 2 | no | — |
| 594 | #124 | — | 10 | 2 | no | — |
| 595 | #124 | — | 10 | 1 | no | — |
| 596 | #124 | — | 10 | 2 | no | — |
| 597 | #123 | — | 10 | 2 | no | — |
| 598 | #123 | — | 10 | 2 | no | — |
| 599 | #123 | — | 10 | 2 | no | — |
| 600 | #123 | — | 10 | 2 | no | — |
| 601 | C22⋊Q8 | — | 5 | 2 | no | — |
| 602 | C22⋊Q8 | — | 10 | 2 | no | — |
| 603 | C22⋊Q8 | — | 10 | 2 | no | — |
| 604 | C22⋊Q8 | — | 10 | 1 | no | — |
| 605 | #121 | — | 5 | 2 | no | — |
| 606 | #121 | — | 5 | 2 | no | — |
| 607 | #121 | — | 5 | 2 | no | — |
| 608 | #121 | — | 10 | 2 | no | — |
| 609 | #121 | — | 10 | 2 | no | — |
| 610 | #121 | — | 10 | 2 | no | — |
| 611 | #121 | — | 10 | 1 | no | — |
| 612 | #121 | — | 10 | 1 | no | — |
| 613 | #121 | — | 10 | 2 | no | — |
| 614 | #121 | — | 10 | 2 | no | — |
| 615 | #121 | — | 10 | 4 | no | — |
| 616 | #121 | — | 10 | 4 | no | — |
| 617 | #121 | — | 10 | 1 | no | — |
| 618 | #121 | — | 10 | 2 | no | — |
| 619 | #121 | — | 10 | 2 | no | — |
| 620 | #121 | — | 10 | 2 | no | — |
| 621 | #121 | — | 10 | 1 | no | — |
| 622 | #121 | — | 10 | 1 | no | — |
| 623 | #120 | — | 10 | 2 | no | — |
| 624 | #120 | — | 10 | 2 | no | — |
| 625 | #120 | — | 10 | 4 | no | — |
| 626 | #120 | — | 10 | 4 | no | — |
| 627 | #120 | — | 10 | 4 | no | — |
| 628 | C4×Q8 | — | 5 | 1 | no | — |
| 629 | C4×Q8 | — | 5 | 1 | no | — |
| 630 | C4×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 631 | C4×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 632 | C4×D4 | — | 2 | 1 | no | — |
| 633 | C4×D4 | — | 2 | 1 | no | — |
| 634 | C4×D4 | — | 5 | 2 | no | — |
| 635 | C4×D4 | — | 5 | 2 | no | — |
| 636 | C4×D4 | — | 5 | 1 | no | — |
| 637 | C4×D4 | — | 5 | 1 | no | — |
| 638 | C4×D4 | — | 5 | 2 | no | — |
| 639 | C4×D4 | — | 5 | 2 | no | — |
| 640 | C4×D4 | — | 10 | 2 | no | — |
| 641 | C4×D4 | — | 10 | 2 | no | — |
| 642 | C4×D4 | — | 10 | 2 | no | — |
| 643 | C4×D4 | — | 10 | 2 | no | — |
| 644 | C4×D4 | — | 10 | 1 | no | — |
| 645 | C4×D4 | — | 10 | 1 | no | — |
| 646 | C4×D4 | — | 10 | 1 | no | — |
| 647 | C4×D4 | — | 10 | 1 | no | — |
| 648 | C4×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 649 | C4×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 650 | #117 | — | 2 | 1 | no | — |
| 651 | #117 | — | 5 | 1 | no | — |
| 652 | #117 | — | 5 | 2 | no | — |
| 653 | #117 | — | 10 | 2 | no | — |
| 654 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 655 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 656 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 657 | C2×C42 | — | 2 | 1 | no | — |
| 658 | C2×C42 | — | 5 | 2 | no | — |
| 659 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 660 | C4⋊C8 | — | 5 | 1 | no | — |
| 661 | C4⋊C8 | — | 5 | 1 | no | — |
| 662 | C4⋊C8 | — | 5 | 2 | no | — |
| 663 | C4⋊C8 | C22×D5 | 1 | 2 | yes | — |
| 664 | C4⋊C8 | C22×D5 | 1 | 2 | yes | — |
| 665 | #103 | — | 5 | 4 | no | — |
| 666 | #103 | — | 5 | 2 | no | — |
| 667 | #103 | — | 5 | 2 | no | — |
| 668 | #102 | — | 5 | 4 | no | — |
| 669 | #102 | — | 5 | 4 | no | — |
| 670 | #102 | — | 5 | 4 | no | — |
| 671 | #102 | — | 5 | 2 | no | — |
| 672 | #102 | — | 5 | 2 | no | — |
| 673 | #102 | C22×D5 | 1 | 4 | yes | — |
| 674 | #102 | C22×D5 | 1 | 4 | yes | — |
| 675 | C22⋊C8 | — | 5 | 4 | no | — |
| 676 | C22⋊C8 | — | 5 | 4 | no | — |
| 677 | #97 | — | 5 | 4 | no | — |
| 678 | C4×C8 | — | 5 | 4 | no | — |
| 679 | C22×C5 | — | 2 | 1 | no | — |
| 680 | C22×C5 | — | 2 | 1 | no | — |
| 681 | C22×C5 | — | 4 | 1 | no | — |
| 682 | C22×C5 | — | 4 | 4 | no | — |
| 683 | C22×C5 | — | 4 | 4 | no | — |
| 684 | C22×C5 | — | 4 | 1 | no | — |
| 685 | C22×C5 | — | 4 | 1 | no | — |
| 686 | C22×C5 | — | 4 | 4 | no | — |
| 687 | C22×C5 | — | 16 | 4 | no | — |
| 688 | C22×C5 | #535 | 1 | 2 | yes | — |
| 689 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 690 | C2×D5 | — | 2 | 2 | no | — |
| 691 | C2×D5 | — | 2 | 2 | no | — |
| 692 | C2×D5 | — | 2 | 2 | no | — |
| 693 | C2×D5 | — | 4 | 2 | no | — |
| 694 | C2×D5 | — | 4 | 2 | no | — |
| 695 | C2×D5 | — | 4 | 2 | no | — |
| 696 | C2×D5 | — | 4 | 2 | no | — |
| 697 | C2×D5 | — | 4 | 2 | no | — |
| 698 | C2×D5 | — | 4 | 2 | no | — |
| 699 | C2×D5 | — | 8 | 4 | no | — |
| 700 | C2×D5 | — | 16 | 8 | no | — |
| 701 | C4×C5 | — | 2 | 1 | no | — |
| 702 | C4×C5 | — | 2 | 1 | no | — |
| 703 | C4×C5 | — | 2 | 1 | no | — |
| 704 | C4×C5 | — | 4 | 1 | no | — |
| 705 | C4×C5 | — | 4 | 1 | no | — |
| 706 | C4×C5 | — | 4 | 1 | no | — |
| 707 | C4×C5 | #535 | 1 | 2 | yes | — |
| 708 | C4×C5 | #576 | 1 | 2 | yes | — |
| 709 | C4×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 710 | C4×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 711 | Dic5 | — | 2 | 2 | no | — |
| 712 | Dic5 | — | 2 | 2 | no | — |
| 713 | Dic5 | — | 2 | 2 | no | — |
| 714 | Dic5 | — | 4 | 2 | no | — |
| 715 | Dic5 | — | 4 | 2 | no | — |
| 716 | C24 | — | 2 | 2 | no | — |
| 717 | C24 | — | 10 | 4 | no | — |
| 718 | C24 | — | 10 | 1 | no | — |
| 719 | #41 | — | 2 | 2 | no | — |
| 720 | #41 | — | 2 | 2 | no | — |
| 721 | #41 | — | 10 | 2 | no | — |
| 722 | #41 | — | 10 | 2 | no | — |
| 723 | #41 | — | 10 | 4 | no | — |
| 724 | #41 | — | 10 | 4 | no | — |
| 725 | #41 | — | 20 | 4 | no | — |
| 726 | #41 | — | 20 | 4 | no | — |
| 727 | #41 | — | 20 | 8 | no | — |
| 728 | #41 | — | 40 | 4 | no | — |
| 729 | C2×Q8 | — | 5 | 1 | no | — |
| 730 | C2×Q8 | — | 5 | 2 | no | — |
| 731 | C2×Q8 | — | 10 | 2 | no | — |
| 732 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 733 | C2×D4 | — | 2 | 1 | no | — |
| 734 | C2×D4 | — | 2 | 2 | no | — |
| 735 | C2×D4 | — | 2 | 2 | no | — |
| 736 | C2×D4 | — | 2 | 2 | no | — |
| 737 | C2×D4 | — | 2 | 2 | no | — |
| 738 | C2×D4 | — | 2 | 2 | no | — |
| 739 | C2×D4 | — | 2 | 4 | no | — |
| 740 | C2×D4 | — | 2 | 4 | no | — |
| 741 | C2×D4 | — | 5 | 2 | no | — |
| 742 | C2×D4 | — | 5 | 1 | no | — |
| 743 | C2×D4 | — | 5 | 2 | no | — |
| 744 | C2×D4 | — | 5 | 2 | no | — |
| 745 | C2×D4 | — | 8 | 2 | no | — |
| 746 | C2×D4 | — | 8 | 2 | no | — |
| 747 | C2×D4 | — | 10 | 2 | no | — |
| 748 | C2×D4 | — | 10 | 2 | no | — |
| 749 | C2×D4 | — | 10 | 4 | no | — |
| 750 | C2×D4 | — | 10 | 2 | no | — |
| 751 | C2×D4 | — | 10 | 4 | no | — |
| 752 | C2×D4 | — | 10 | 4 | no | — |
| 753 | C2×D4 | — | 10 | 2 | no | — |
| 754 | C2×D4 | — | 10 | 4 | no | — |
| 755 | C2×D4 | — | 10 | 2 | no | — |
| 756 | C2×D4 | — | 10 | 2 | no | — |
| 757 | C2×D4 | — | 10 | 1 | no | — |
| 758 | C2×D4 | — | 10 | 1 | no | — |
| 759 | C2×D4 | — | 10 | 1 | no | — |
| 760 | C2×D4 | — | 10 | 2 | no | — |
| 761 | C2×D4 | — | 10 | 2 | no | — |
| 762 | C2×D4 | — | 20 | 4 | no | — |
| 763 | C2×D4 | — | 20 | 4 | no | — |
| 764 | C2×D4 | — | 20 | 8 | no | — |
| 765 | C2×D4 | — | 20 | 16 | no | — |
| 766 | C2×D4 | — | 40 | 4 | no | — |
| 767 | C2×D4 | — | 40 | 4 | no | — |
| 768 | C2×D4 | C23×D5 | 1 | 4 | yes | — |
| 769 | C2×D4 | C23×D5 | 1 | 1 | yes | characteristic |
| 770 | C22×C4 | — | 2 | 1 | no | — |
| 771 | C22×C4 | — | 2 | 1 | no | — |
| 772 | C22×C4 | — | 2 | 1 | no | — |
| 773 | C22×C4 | — | 5 | 2 | no | — |
| 774 | C22×C4 | — | 5 | 2 | no | — |
| 775 | C22×C4 | — | 5 | 2 | no | — |
| 776 | C22×C4 | — | 10 | 4 | no | — |
| 777 | C22×C4 | — | 10 | 1 | no | — |
| 778 | C22×C4 | — | 10 | 2 | no | — |
| 779 | C22×C4 | — | 10 | 2 | no | — |
| 780 | C22×C4 | — | 10 | 2 | no | — |
| 781 | C22×C4 | — | 40 | 2 | no | — |
| 782 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 783 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 784 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 785 | Q16 | — | 20 | 2 | no | — |
| 786 | SD16 | — | 4 | 4 | no | — |
| 787 | SD16 | — | 20 | 4 | no | — |
| 788 | SD16 | — | 20 | 2 | no | — |
| 789 | SD16 | — | 20 | 2 | no | — |
| 790 | D8 | — | 4 | 4 | no | — |
| 791 | D8 | — | 20 | 4 | no | — |
| 792 | D8 | — | 20 | 4 | no | — |
| 793 | D8 | — | 20 | 4 | no | — |
| 794 | D8 | — | 20 | 2 | no | — |
| 795 | M16 | — | 2 | 4 | no | — |
| 796 | C2×C8 | — | 5 | 2 | no | — |
| 797 | C2×C8 | — | 5 | 2 | no | — |
| 798 | C2×C8 | — | 10 | 4 | no | — |
| 799 | C2×C8 | C23×D5 | 1 | 4 | yes | — |
| 800 | C4⋊C4 | — | 2 | 1 | no | — |
| 801 | C4⋊C4 | — | 2 | 1 | no | — |
| 802 | C4⋊C4 | — | 5 | 1 | no | — |
| 803 | C4⋊C4 | — | 5 | 1 | no | — |
| 804 | C4⋊C4 | — | 5 | 2 | no | — |
| 805 | C4⋊C4 | — | 5 | 2 | no | — |
| 806 | C4⋊C4 | — | 5 | 2 | no | — |
| 807 | C4⋊C4 | — | 10 | 2 | no | — |
| 808 | C4⋊C4 | — | 10 | 2 | no | — |
| 809 | C4⋊C4 | — | 10 | 2 | no | — |
| 810 | C4⋊C4 | — | 10 | 2 | no | — |
| 811 | C4⋊C4 | — | 10 | 1 | no | — |
| 812 | C4⋊C4 | — | 10 | 1 | no | — |
| 813 | C4⋊C4 | — | 10 | 1 | no | — |
| 814 | C4⋊C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 815 | C4⋊C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 816 | C22⋊C4 | — | 2 | 1 | no | — |
| 817 | C22⋊C4 | — | 2 | 1 | no | — |
| 818 | C22⋊C4 | — | 2 | 1 | no | — |
| 819 | C22⋊C4 | — | 5 | 2 | no | — |
| 820 | C22⋊C4 | — | 5 | 2 | no | — |
| 821 | C22⋊C4 | — | 5 | 2 | no | — |
| 822 | C22⋊C4 | — | 10 | 2 | no | — |
| 823 | C22⋊C4 | — | 10 | 2 | no | — |
| 824 | C22⋊C4 | — | 10 | 2 | no | — |
| 825 | C22⋊C4 | — | 10 | 2 | no | — |
| 826 | C22⋊C4 | — | 10 | 2 | no | — |
| 827 | C22⋊C4 | — | 10 | 4 | no | — |
| 828 | C22⋊C4 | — | 10 | 4 | no | — |
| 829 | C22⋊C4 | — | 10 | 2 | no | — |
| 830 | C22⋊C4 | — | 10 | 2 | no | — |
| 831 | C22⋊C4 | — | 10 | 2 | no | — |
| 832 | C22⋊C4 | — | 10 | 2 | no | — |
| 833 | C22⋊C4 | — | 10 | 2 | no | — |
| 834 | C42 | — | 2 | 1 | no | — |
| 835 | C42 | — | 2 | 1 | no | — |
| 836 | C42 | — | 2 | 1 | no | — |
| 837 | C42 | — | 5 | 2 | no | — |
| 838 | C42 | — | 5 | 2 | no | — |
| 839 | C42 | — | 5 | 2 | no | — |
| 840 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 841 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 842 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 843 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 844 | C2×C5 | — | 2 | 2 | no | — |
| 845 | C2×C5 | — | 8 | 4 | no | — |
| 846 | C2×C5 | — | 8 | 1 | no | — |
| 847 | C2×C5 | C2×#535 | 1 | 1 | yes | characteristic |
| 848 | C2×C5 | C2×#576 | 1 | 1 | yes | characteristic |
| 849 | C2×C5 | #3585 | 1 | 1 | yes | characteristic |
| 850 | D5 | — | 4 | 2 | no | — |
| 851 | D5 | — | 8 | 2 | no | — |
| 852 | D5 | — | 8 | 2 | no | — |
| 853 | C23 | — | 2 | 1 | no | — |
| 854 | C23 | — | 2 | 4 | no | — |
| 855 | C23 | — | 4 | 4 | no | — |
| 856 | C23 | — | 5 | 2 | no | — |
| 857 | C23 | — | 8 | 2 | no | — |
| 858 | C23 | — | 8 | 2 | no | — |
| 859 | C23 | — | 10 | 2 | no | — |
| 860 | C23 | — | 10 | 2 | no | — |
| 861 | C23 | — | 20 | 8 | no | — |
| 862 | C23 | — | 20 | 2 | no | — |
| 863 | C23 | — | 40 | 1 | no | — |
| 864 | C23 | — | 40 | 1 | no | — |
| 865 | C23 | — | 40 | 4 | no | — |
| 866 | C23 | — | 40 | 4 | no | — |
| 867 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 868 | Q8 | — | 2 | 1 | no | — |
| 869 | Q8 | — | 2 | 1 | no | — |
| 870 | Q8 | — | 10 | 2 | no | — |
| 871 | Q8 | — | 10 | 2 | no | — |
| 872 | Q8 | — | 10 | 2 | no | — |
| 873 | Q8 | — | 40 | 2 | no | — |
| 874 | D4 | — | 2 | 1 | no | — |
| 875 | D4 | — | 2 | 4 | no | — |
| 876 | D4 | — | 2 | 1 | no | — |
| 877 | D4 | — | 2 | 4 | no | — |
| 878 | D4 | — | 4 | 4 | no | — |
| 879 | D4 | — | 4 | 2 | no | — |
| 880 | D4 | — | 4 | 4 | no | — |
| 881 | D4 | — | 4 | 4 | no | — |
| 882 | D4 | — | 8 | 2 | no | — |
| 883 | D4 | — | 8 | 2 | no | — |
| 884 | D4 | — | 10 | 4 | no | — |
| 885 | D4 | — | 10 | 2 | no | — |
| 886 | D4 | — | 10 | 2 | no | — |
| 887 | D4 | — | 10 | 2 | no | — |
| 888 | D4 | — | 10 | 2 | no | — |
| 889 | D4 | — | 10 | 2 | no | — |
| 890 | D4 | — | 20 | 2 | no | — |
| 891 | D4 | — | 20 | 8 | no | — |
| 892 | D4 | — | 20 | 8 | no | — |
| 893 | D4 | — | 20 | 4 | no | — |
| 894 | D4 | — | 20 | 2 | no | — |
| 895 | D4 | — | 20 | 2 | no | — |
| 896 | D4 | — | 40 | 2 | no | — |
| 897 | D4 | — | 40 | 2 | no | — |
| 898 | D4 | — | 40 | 4 | no | — |
| 899 | D4 | — | 40 | 4 | no | — |
| 900 | D4 | — | 40 | 2 | no | — |
| 901 | D4 | — | 40 | 2 | no | — |
| 902 | D4 | — | 40 | 2 | no | — |
| 903 | C2×C4 | — | 2 | 2 | no | — |
| 904 | C2×C4 | — | 2 | 1 | no | — |
| 905 | C2×C4 | — | 2 | 1 | no | — |
| 906 | C2×C4 | — | 2 | 1 | no | — |
| 907 | C2×C4 | — | 4 | 1 | no | — |
| 908 | C2×C4 | — | 4 | 2 | no | — |
| 909 | C2×C4 | — | 4 | 2 | no | — |
| 910 | C2×C4 | — | 5 | 2 | no | — |
| 911 | C2×C4 | — | 5 | 2 | no | — |
| 912 | C2×C4 | — | 5 | 2 | no | — |
| 913 | C2×C4 | — | 8 | 1 | no | — |
| 914 | C2×C4 | — | 10 | 4 | no | — |
| 915 | C2×C4 | — | 10 | 2 | no | — |
| 916 | C2×C4 | — | 10 | 2 | no | — |
| 917 | C2×C4 | — | 10 | 2 | no | — |
| 918 | C2×C4 | — | 10 | 2 | no | — |
| 919 | C2×C4 | — | 20 | 2 | no | — |
| 920 | C2×C4 | — | 20 | 8 | no | — |
| 921 | C2×C4 | — | 20 | 4 | no | — |
| 922 | C2×C4 | — | 20 | 4 | no | — |
| 923 | C2×C4 | — | 40 | 2 | no | — |
| 924 | C2×C4 | — | 40 | 1 | no | — |
| 925 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 926 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 927 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 928 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 929 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 930 | C2×C4 | #4144 | 1 | 2 | yes | — |
| 931 | C2×C4 | #4149 | 1 | 2 | yes | — |
| 932 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 933 | C8 | — | 2 | 4 | no | — |
| 934 | C8 | — | 10 | 2 | no | — |
| 935 | C8 | — | 10 | 2 | no | — |
| 936 | C5 | #60832 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 937 | C22 | — | 2 | 1 | no | — |
| 938 | C22 | — | 2 | 1 | no | — |
| 939 | C22 | — | 4 | 1 | no | — |
| 940 | C22 | — | 4 | 4 | no | — |
| 941 | C22 | — | 4 | 1 | no | — |
| 942 | C22 | — | 4 | 4 | no | — |
| 943 | C22 | — | 4 | 1 | no | — |
| 944 | C22 | — | 4 | 4 | no | — |
| 945 | C22 | — | 10 | 2 | no | — |
| 946 | C22 | — | 10 | 2 | no | — |
| 947 | C22 | — | 10 | 2 | no | — |
| 948 | C22 | — | 16 | 4 | no | — |
| 949 | C22 | — | 20 | 2 | no | — |
| 950 | C22 | — | 20 | 2 | no | — |
| 951 | C22 | — | 20 | 2 | no | — |
| 952 | C22 | — | 20 | 2 | no | — |
| 953 | C22 | — | 20 | 2 | no | — |
| 954 | C22 | — | 20 | 2 | no | — |
| 955 | C22 | — | 40 | 4 | no | — |
| 956 | C22 | — | 80 | 8 | no | — |
| 957 | C22 | #65941 | 1 | 2 | yes | — |
| 958 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 959 | C4 | — | 2 | 1 | no | — |
| 960 | C4 | — | 2 | 1 | no | — |
| 961 | C4 | — | 2 | 1 | no | — |
| 962 | C4 | — | 4 | 1 | no | — |
| 963 | C4 | — | 4 | 1 | no | — |
| 964 | C4 | — | 4 | 1 | no | — |
| 965 | C4 | — | 10 | 2 | no | — |
| 966 | C4 | — | 10 | 2 | no | — |
| 967 | C4 | — | 10 | 2 | no | — |
| 968 | C4 | — | 20 | 2 | no | — |
| 969 | C4 | — | 20 | 2 | no | — |
| 970 | C4 | #65941 | 1 | 2 | yes | — |
| 971 | C4 | #66108 | 1 | 2 | yes | — |
| 972 | C4 | C2×#4144 | 1 | 1 | yes | characteristic |
| 973 | C4 | C2×#4149 | 1 | 1 | yes | characteristic |
| 974 | C2 | — | 2 | 2 | no | — |
| 975 | C2 | — | 8 | 4 | no | — |
| 976 | C2 | — | 8 | 1 | no | — |
| 977 | C2 | — | 20 | 2 | no | — |
| 978 | C2 | — | 40 | 2 | no | — |
| 979 | C2 | — | 40 | 2 | no | — |
| 980 | C2 | C2×#65941 | 1 | 1 | yes | characteristic |
| 981 | C2 | C2×#66108 | 1 | 1 | yes | characteristic |
| 982 | C2 | #10619093 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10618096 | C2 | semidirect |
| 2. #10617739 | C2 | semidirect |
| 3. C5×#3038 | C2 | semidirect |
| 4. #10615680 | C2 | semidirect |
| 5. #10615671 | C2 | semidirect |
| 6. C2×#65361 | C2 | semidirect |
| 7. #10614256 | C2 | semidirect |
| 8. #10612123 | C2 | semidirect |
| 9. #10612121 | C2 | semidirect |
| 10. #10612119 | C2 | semidirect |
| 11. #10612071 | C2 | semidirect |
| 12. #10612069 | C2 | semidirect |
| 13. #10612067 | C2 | semidirect |
| 14. #10610786 | C2 | semidirect |
| 15. #10610771 | C2 | semidirect |
| 16. #10610659 | C2 | semidirect |
| 17. #10610651 | C2 | semidirect |
| 19. C2×C5×AGL(1,ℤ/8) | C22 | semidirect |
| 21. C4×C5×#41 | C22 | semidirect |
| 23. #66164 | C22 | semidirect |
| 24. C2×#4096 | C22 | semidirect |
| 28. C22×#686 | C22 | semidirect |
| 29. C2×#4054 | C22 | semidirect |
| 34. #66050 | C22 | semidirect |
| 35. #66049 | C22 | semidirect |
| 36. D5×#127 | C22 | semidirect |
| 37. #65916 | C22 | semidirect |
| 38. #65914 | C22 | semidirect |
| 39. #65896 | C22 | semidirect |
| 41. #65882 | C22 | semidirect |
| 46. #65853 | C22 | semidirect |
| 51. C2×C4×D20 | C22 | semidirect |
| 52. C5×#460 | C22 | semidirect |
| 53. C5×#460 | C22 | semidirect |
| 54. C5×#459 | C22 | semidirect |
| 55. C5×#459 | C22 | semidirect |
| 56. C5×#423 | C22 | semidirect |
| 57. C5×#418 | C22 | semidirect |
| 58. C2×#3964 | C22 | semidirect |
| 59. #65465 | C22 | semidirect |
| 60. #65462 | C22 | semidirect |
| 61. #65458 | C22 | semidirect |
| 62. #65457 | C22 | semidirect |
| 63. #65447 | C22 | semidirect |
| 64. #65445 | C22 | semidirect |
| 65. #65443 | C22 | semidirect |
| 66. #65440 | C22 | semidirect |
| 67. #65422 | C22 | semidirect |
| 69. #65411 | C22 | semidirect |
| 70. #65361 | C22 | semidirect |
| 71. #65361 | C22 | semidirect |
| 72. #65361 | C22 | semidirect |
| 73. #65320 | C22 | semidirect |
| 74. #65317 | C22 | semidirect |
| 75. #65316 | C22 | semidirect |
| 76. #65308 | C22 | semidirect |
| 77. #65305 | C22 | semidirect |
| 78. #65304 | C22 | semidirect |
| 79. #65291 | C22 | semidirect |
| 80. C2×C4⋊#168 | C22 | semidirect |
| 81. #65133 | C22 | semidirect |
| 82. #65132 | C22 | semidirect |
| 83. #65130 | C22 | semidirect |
| 84. #65129 | C22 | semidirect |
| 85. #65124 | C22 | semidirect |
| 86. #65122 | C22 | semidirect |
| 87. #65070 | C22 | semidirect |
| 88. #65070 | C22 | semidirect |
| 89. #65062 | C22 | semidirect |
| 90. #65062 | C22 | semidirect |
| 91. #65057 | C22 | semidirect |
| 92. #65054 | C22 | semidirect |
| 93. #65053 | C22 | semidirect |
| 94. #65049 | C22 | semidirect |
| 245. #3038 | D5 | semidirect |
| 382. C2×AGL(1,ℤ/8) | C2×D5 | semidirect |
| 412. C4×#41 | C2×D5 | semidirect |
| 429. #460 | C2×D5 | semidirect |
| 430. #460 | C2×D5 | semidirect |
| 436. #459 | C2×D5 | semidirect |
| 437. #459 | C2×D5 | semidirect |
| 449. #423 | C2×D5 | semidirect |
| 451. #418 | C2×D5 | semidirect |
| 936. C5 | #60832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618096 | 2 |
| #10617739 | 2 |
| C5×#3038 | 2 |
| #10615680 | 2 |
| #10615671 | 2 |
| C2×#65361 | 2 |
| #10614256 | 2 |
| #10612123 | 2 |
| #10612121 | 2 |
| #10612119 | 2 |
| #10612071 | 2 |
| #10612069 | 2 |
| #10612067 | 2 |
| #10610786 | 2 |
| #10610771 | 2 |
| #10610659 | 2 |
| #10610651 | 2 |
| #60832 | 5 |