Finite Group DatabasebetaFinite Group DatabasebetaOrder 2560.
1654 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 1654 conjugacy classes of subgroups — too many to draw. Only its 142 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13026462 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | D5⋊#1359 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D5⋊#1335 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13021321 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | D5×#3291 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | D5×#577 | — | 2 | 2 | no | — |
| 7 | C5×#3291 | C4 | 1 | 1 | yes | characteristic, complemented |
| 8 | #10615745 | — | 2 | 2 | no | — |
| 9 | #10613505 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | D5×#492 | C22 | 1 | 1 | yes | characteristic |
| 11 | #10612666 | — | 2 | 2 | no | — |
| 12 | D5×#471 | — | 2 | 2 | no | — |
| 13 | #10612033 | — | 2 | 1 | no | — |
| 14 | D5×#456 | — | 2 | 1 | no | — |
| 15 | #10612012 | — | 2 | 1 | no | — |
| 16 | D5×#453 | — | 2 | 1 | no | — |
| 17 | #10611624 | C4 | 1 | 2 | yes | complemented |
| 18 | D5×#443 | C22 | 1 | 2 | yes | — |
| 19 | D5⋊#360 | — | 2 | 2 | no | — |
| 20 | #10604674 | — | 2 | 1 | no | — |
| 21 | #10604616 | — | 2 | 1 | no | — |
| 22 | #10603847 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | D5⋊#364 | C22 | 1 | 2 | yes | complemented |
| 24 | C8×D5⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #10598815 | — | 2 | 2 | no | — |
| 26 | #10598757 | — | 2 | 1 | no | — |
| 27 | #10598751 | — | 2 | 1 | no | — |
| 28 | #10598627 | — | 2 | 2 | no | — |
| 29 | #10598623 | — | 2 | 2 | no | — |
| 30 | #131841 | — | 5 | 1 | no | maximal, Sylow |
| 31 | D5×2−1+4 | — | 2 | 1 | no | — |
| 32 | D5×H(5,𝔽2) | — | 2 | 1 | no | — |
| 33 | C5×#577 | — | 2 | 2 | no | — |
| 34 | #66171 | — | 2 | 2 | no | — |
| 35 | #66170 | — | 2 | 2 | no | — |
| 36 | #66112 | — | 2 | 2 | no | — |
| 37 | #66112 | — | 4 | 2 | no | — |
| 38 | D5×#137 | — | 2 | 2 | no | — |
| 39 | D5×#137 | — | 4 | 2 | no | — |
| 40 | #66109 | — | 2 | 2 | no | — |
| 41 | #66109 | — | 4 | 2 | no | — |
| 42 | D5×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 43 | D5×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 44 | #66104 | — | 2 | 2 | no | — |
| 45 | #66104 | — | 4 | 2 | no | — |
| 46 | D5×#135 | — | 4 | 2 | no | — |
| 47 | D5×#135 | D4 | 1 | 2 | yes | — |
| 48 | #66096 | — | 2 | 2 | no | — |
| 49 | #66096 | — | 4 | 2 | no | — |
| 50 | C2×D5×SD16 | — | 2 | 2 | no | — |
| 51 | C2×D5×SD16 | — | 4 | 2 | no | — |
| 52 | #66085 | — | 2 | 2 | no | — |
| 53 | D5×#131 | — | 2 | 2 | no | — |
| 54 | D5×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 55 | D5×#127 | D4 | 1 | 1 | yes | characteristic |
| 56 | C2×#4007 | — | 4 | 2 | no | — |
| 57 | C2×#3993 | — | 2 | 2 | no | — |
| 58 | D5⋊M32 | — | 2 | 2 | no | — |
| 59 | #65688 | — | 2 | 1 | no | — |
| 60 | C4×D5⋊C8 | — | 2 | 1 | no | — |
| 61 | C5×#492 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | C5×#471 | — | 2 | 2 | no | — |
| 63 | C5×#456 | — | 2 | 1 | no | — |
| 64 | C5×#453 | — | 2 | 1 | no | — |
| 65 | C5×#443 | C2×C4 | 1 | 2 | yes | — |
| 66 | #65535 | — | 2 | 1 | no | — |
| 67 | #65530 | — | 2 | 1 | no | — |
| 68 | #65494 | — | 2 | 2 | no | — |
| 69 | #65492 | — | 2 | 2 | no | — |
| 70 | #65489 | — | 2 | 2 | no | — |
| 71 | #65487 | — | 2 | 2 | no | — |
| 72 | #65485 | D4 | 1 | 2 | yes | — |
| 73 | #65466 | — | 2 | 2 | no | — |
| 74 | #65464 | — | 2 | 2 | no | — |
| 75 | #65433 | — | 2 | 2 | no | — |
| 76 | #65430 | — | 2 | 2 | no | — |
| 77 | #65384 | — | 2 | 1 | no | — |
| 78 | #65374 | D4 | 1 | 1 | yes | characteristic |
| 79 | #65366 | — | 2 | 1 | no | — |
| 80 | #65365 | D4 | 1 | 1 | yes | characteristic |
| 81 | #65187 | — | 2 | 2 | no | — |
| 82 | #65184 | D4 | 1 | 2 | yes | — |
| 83 | D5×#108 | D4 | 1 | 2 | yes | — |
| 84 | #65115 | — | 2 | 2 | no | — |
| 85 | #65113 | — | 2 | 2 | no | — |
| 86 | #65111 | — | 2 | 2 | no | — |
| 87 | D5×#104 | — | 2 | 2 | no | — |
| 88 | #65043 | — | 2 | 2 | no | — |
| 89 | #65041 | — | 2 | 1 | no | — |
| 90 | D5×#101 | — | 2 | 1 | no | — |
| 91 | #65037 | — | 2 | 2 | no | — |
| 92 | #65036 | — | 2 | 1 | no | — |
| 93 | D5×#100 | — | 2 | 1 | no | — |
| 94 | #64989 | C2×C4 | 1 | 2 | yes | — |
| 95 | #64982 | C2×C4 | 1 | 1 | yes | characteristic |
| 96 | C4×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 97 | #64907 | — | 4 | 2 | no | — |
| 98 | #64903 | — | 4 | 2 | no | — |
| 99 | #64889 | — | 2 | 2 | no | — |
| 100 | C8×#170 | — | 2 | 2 | no | — |
| 101 | #64874 | — | 4 | 2 | no | — |
| 102 | #64861 | — | 2 | 2 | no | — |
| 103 | C2×#3291 | — | 5 | 1 | no | — |
| 104 | #12823 | — | 5 | 2 | no | — |
| 105 | C2×#1359 | — | 5 | 1 | no | — |
| 106 | C2×#1335 | — | 5 | 2 | no | — |
| 107 | #9820 | — | 5 | 1 | no | — |
| 108 | C5×2−1+4 | — | 2 | 1 | no | — |
| 109 | C5×H(5,𝔽2) | — | 2 | 1 | no | — |
| 110 | #4150 | — | 2 | 2 | no | — |
| 111 | #4150 | — | 4 | 2 | no | — |
| 112 | #4150 | — | 8 | 1 | no | — |
| 113 | #4149 | — | 2 | 2 | no | — |
| 114 | #4149 | — | 4 | 2 | no | — |
| 115 | D5×#41 | — | 2 | 2 | no | — |
| 116 | D5×#41 | — | 4 | 2 | no | — |
| 117 | D5×#41 | — | 4 | 2 | no | — |
| 118 | D5×#41 | — | 8 | 1 | no | — |
| 119 | #4147 | — | 2 | 1 | no | — |
| 120 | #4147 | — | 4 | 2 | no | — |
| 121 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 122 | C2×Q8×D5 | — | 4 | 2 | no | — |
| 123 | #4144 | — | 2 | 1 | no | — |
| 124 | #4144 | — | 4 | 2 | no | — |
| 125 | #4144 | — | 8 | 1 | no | — |
| 126 | C2×D4×D5 | — | 2 | 1 | no | — |
| 127 | C2×D4×D5 | — | 4 | 1 | no | — |
| 128 | C2×D4×D5 | — | 4 | 2 | no | — |
| 129 | C2×D4×D5 | — | 8 | 1 | no | — |
| 130 | C2×C4⋊AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 131 | C2×C4⋊AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 132 | C2×C4⋊AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 133 | C2×D5⋊C8 | — | 2 | 2 | no | — |
| 134 | C5×#137 | — | 2 | 2 | no | — |
| 135 | C5×#137 | — | 4 | 2 | no | — |
| 136 | C5×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 137 | C5×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 138 | C5×#135 | — | 4 | 2 | no | — |
| 139 | C5×#135 | C22⋊C4 | 1 | 2 | yes | — |
| 140 | C2×C5×SD16 | — | 2 | 2 | no | — |
| 141 | C2×C5×SD16 | — | 4 | 2 | no | — |
| 142 | C5×#131 | — | 2 | 2 | no | — |
| 143 | C5×C4⋊Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 144 | C5×#127 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 145 | #4097 | — | 2 | 2 | no | — |
| 146 | #4097 | — | 4 | 2 | no | — |
| 147 | #4096 | — | 2 | 2 | no | — |
| 148 | #4096 | — | 4 | 2 | no | — |
| 149 | #4096 | — | 4 | 2 | no | — |
| 150 | #4095 | — | 2 | 2 | no | — |
| 151 | #4095 | — | 4 | 2 | no | — |
| 152 | #4094 | — | 2 | 2 | no | — |
| 153 | #4090 | — | 2 | 1 | no | — |
| 154 | #4088 | — | 2 | 2 | no | — |
| 155 | #4088 | — | 4 | 2 | no | — |
| 156 | C2×#688 | — | 2 | 2 | no | — |
| 157 | C2×#688 | — | 4 | 2 | no | — |
| 158 | #4086 | — | 2 | 1 | no | — |
| 159 | #4086 | — | 4 | 1 | no | — |
| 160 | C2×#687 | — | 2 | 2 | no | — |
| 161 | C2×#687 | — | 4 | 2 | no | — |
| 162 | #4078 | — | 2 | 2 | no | — |
| 163 | #4078 | — | 4 | 2 | no | — |
| 164 | #4065 | — | 4 | 2 | no | — |
| 165 | #4065 | D8 | 1 | 2 | yes | — |
| 166 | #4064 | — | 4 | 2 | no | — |
| 167 | #4064 | — | 4 | 2 | no | — |
| 168 | #4064 | — | 4 | 2 | no | — |
| 169 | D5×Q16 | — | 4 | 2 | no | — |
| 170 | D5×Q16 | SD16 | 1 | 2 | yes | — |
| 171 | #4062 | — | 2 | 2 | no | — |
| 172 | #4062 | — | 4 | 2 | no | — |
| 173 | #4062 | — | 4 | 2 | no | — |
| 174 | #4061 | — | 4 | 2 | no | — |
| 175 | #4061 | — | 4 | 2 | no | — |
| 176 | #4061 | — | 4 | 2 | no | — |
| 177 | #4060 | — | 4 | 2 | no | — |
| 178 | #4060 | — | 4 | 2 | no | — |
| 179 | #4060 | — | 4 | 2 | no | — |
| 180 | D5×SD16 | — | 2 | 2 | no | — |
| 181 | D5×SD16 | — | 4 | 2 | no | — |
| 182 | D5×SD16 | — | 4 | 2 | no | — |
| 183 | D5×SD16 | — | 4 | 2 | no | — |
| 184 | D5×SD16 | — | 4 | 2 | no | — |
| 185 | D5×SD16 | — | 4 | 2 | no | — |
| 186 | D5×SD16 | — | 4 | 2 | no | — |
| 187 | D5×SD16 | — | 4 | 2 | no | — |
| 188 | D5×SD16 | — | 4 | 2 | no | — |
| 189 | D5×SD16 | — | 4 | 2 | no | — |
| 190 | D5×SD16 | — | 4 | 2 | no | — |
| 191 | #4058 | — | 4 | 2 | no | — |
| 192 | #4058 | D8 | 1 | 2 | yes | — |
| 193 | #4057 | — | 4 | 2 | no | — |
| 194 | #4057 | — | 4 | 2 | no | — |
| 195 | #4057 | — | 4 | 2 | no | — |
| 196 | D5×D8 | — | 4 | 2 | no | — |
| 197 | D5×D8 | SD16 | 1 | 2 | yes | — |
| 198 | #4055 | — | 2 | 2 | no | — |
| 199 | #4055 | — | 4 | 2 | no | — |
| 200 | #4054 | — | 2 | 2 | no | — |
| 201 | #4054 | — | 4 | 2 | no | — |
| 202 | #4053 | — | 2 | 2 | no | — |
| 203 | #4053 | — | 4 | 2 | no | — |
| 204 | D5×M16 | — | 2 | 2 | no | — |
| 205 | D5×M16 | — | 4 | 2 | no | — |
| 206 | #4050 | — | 4 | 2 | no | — |
| 207 | #4050 | C22⋊C4 | 1 | 2 | yes | — |
| 208 | C2×#677 | — | 2 | 2 | no | — |
| 209 | C2×#677 | — | 4 | 2 | no | — |
| 210 | #4047 | — | 2 | 2 | no | — |
| 211 | #4047 | — | 4 | 2 | no | — |
| 212 | C2×C8×D5 | — | 4 | 2 | no | — |
| 213 | C2×C8×D5 | C2×D4 | 1 | 2 | yes | — |
| 214 | D5×C4⋊C4 | — | 4 | 1 | no | — |
| 215 | #4034 | — | 4 | 1 | no | — |
| 216 | #4020 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 217 | C42×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | #4015 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 219 | #4007 | — | 8 | 4 | no | — |
| 220 | C4×#170 | — | 4 | 1 | no | — |
| 221 | C4×#170 | — | 4 | 1 | no | — |
| 222 | #3998 | — | 4 | 2 | no | — |
| 223 | #3993 | — | 4 | 2 | no | — |
| 224 | #3993 | — | 4 | 2 | no | — |
| 225 | #3990 | — | 4 | 2 | no | — |
| 226 | D5⋊C16 | — | 4 | 2 | no | — |
| 227 | C5×#108 | C22⋊C4 | 1 | 2 | yes | — |
| 228 | C5×#104 | — | 2 | 2 | no | — |
| 229 | C5×#101 | — | 2 | 1 | no | — |
| 230 | C5×#100 | — | 2 | 1 | no | — |
| 231 | C4×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 232 | #3969 | — | 2 | 2 | no | — |
| 233 | #3968 | — | 2 | 1 | no | — |
| 234 | #3965 | — | 2 | 1 | no | — |
| 235 | #3957 | — | 2 | 2 | no | — |
| 236 | #3956 | — | 2 | 2 | no | — |
| 237 | #3955 | — | 2 | 2 | no | — |
| 238 | #3954 | — | 2 | 2 | no | — |
| 239 | #3951 | C22⋊C4 | 1 | 2 | yes | — |
| 240 | C8×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 241 | #3937 | — | 2 | 2 | no | — |
| 242 | C4×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×#577 | — | 10 | 2 | no | — |
| 244 | #3291 | — | 5 | 1 | no | — |
| 245 | #3291 | — | 5 | 2 | no | — |
| 246 | #3291 | — | 10 | 2 | no | — |
| 247 | #3291 | — | 10 | 2 | no | — |
| 248 | #3291 | — | 10 | 1 | no | — |
| 249 | #3291 | — | 10 | 1 | no | — |
| 250 | #3291 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 251 | C2×#492 | — | 5 | 1 | no | — |
| 252 | C2×#471 | — | 10 | 2 | no | — |
| 253 | C2×#456 | — | 10 | 1 | no | — |
| 254 | C2×#453 | — | 10 | 1 | no | — |
| 255 | C2×#443 | — | 5 | 2 | no | — |
| 256 | C2×#364 | — | 5 | 2 | no | — |
| 257 | C2×#360 | — | 10 | 2 | no | — |
| 258 | #1990 | — | 10 | 1 | no | — |
| 259 | #1957 | — | 10 | 1 | no | — |
| 260 | #1844 | — | 5 | 1 | no | — |
| 261 | C2×C82 | — | 5 | 1 | no | — |
| 262 | #1383 | — | 10 | 2 | no | — |
| 263 | #1359 | — | 10 | 1 | no | — |
| 264 | #1359 | — | 10 | 1 | no | — |
| 265 | #1335 | — | 10 | 2 | no | — |
| 266 | #1335 | — | 10 | 2 | no | — |
| 267 | C23×D5 | — | 4 | 1 | no | — |
| 268 | C23×D5 | — | 8 | 1 | no | — |
| 269 | C22×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 270 | C5×#41 | — | 2 | 2 | no | — |
| 271 | C5×#41 | — | 4 | 2 | no | — |
| 272 | C5×#41 | — | 4 | 2 | no | — |
| 273 | C5×#41 | — | 8 | 1 | no | — |
| 274 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 275 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 276 | C2×C5×D4 | — | 2 | 1 | no | — |
| 277 | C2×C5×D4 | — | 4 | 1 | no | — |
| 278 | C2×C5×D4 | — | 4 | 2 | no | — |
| 279 | C2×C5×D4 | — | 8 | 1 | no | — |
| 280 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 281 | C2×C22⋊D5 | — | 8 | 1 | no | — |
| 282 | C2×C22⋊D5 | — | 8 | 2 | no | — |
| 283 | C2×C22⋊D5 | — | 8 | 1 | no | — |
| 284 | C2×C22⋊D5 | — | 8 | 1 | no | — |
| 285 | #713 | — | 2 | 2 | no | — |
| 286 | #713 | — | 4 | 2 | no | — |
| 287 | #713 | — | 4 | 2 | no | — |
| 288 | #713 | — | 8 | 1 | no | — |
| 289 | Q8×D5 | — | 2 | 2 | no | — |
| 290 | Q8×D5 | — | 4 | 2 | no | — |
| 291 | Q8×D5 | — | 4 | 2 | no | — |
| 292 | Q8×D5 | — | 4 | 2 | no | — |
| 293 | Q8×D5 | — | 4 | 2 | no | — |
| 294 | Q8×D5 | — | 8 | 2 | no | — |
| 295 | Q8×D5 | — | 8 | 1 | no | — |
| 296 | #711 | — | 2 | 2 | no | — |
| 297 | #711 | — | 4 | 2 | no | — |
| 298 | #711 | — | 4 | 2 | no | — |
| 299 | #711 | — | 4 | 2 | no | — |
| 300 | #711 | — | 8 | 2 | no | — |
| 301 | #711 | — | 8 | 2 | no | — |
| 302 | #711 | — | 8 | 2 | no | — |
| 303 | #711 | — | 8 | 1 | no | — |
| 304 | D4×D5 | — | 2 | 2 | no | — |
| 305 | D4×D5 | — | 4 | 2 | no | — |
| 306 | D4×D5 | — | 4 | 2 | no | — |
| 307 | D4×D5 | — | 4 | 2 | no | — |
| 308 | D4×D5 | — | 4 | 2 | no | — |
| 309 | D4×D5 | — | 4 | 2 | no | — |
| 310 | D4×D5 | — | 8 | 2 | no | — |
| 311 | D4×D5 | — | 8 | 2 | no | — |
| 312 | D4×D5 | — | 8 | 2 | no | — |
| 313 | D4×D5 | — | 8 | 2 | no | — |
| 314 | D4×D5 | — | 8 | 2 | no | — |
| 315 | D4×D5 | — | 8 | 2 | no | — |
| 316 | D4×D5 | — | 8 | 1 | no | — |
| 317 | #709 | — | 2 | 2 | no | — |
| 318 | #709 | — | 4 | 2 | no | — |
| 319 | #709 | — | 4 | 2 | no | — |
| 320 | #709 | — | 4 | 2 | no | — |
| 321 | #709 | — | 8 | 2 | no | — |
| 322 | #709 | — | 8 | 2 | no | — |
| 323 | #709 | — | 8 | 2 | no | — |
| 324 | #709 | — | 8 | 1 | no | — |
| 325 | C2×D20 | — | 2 | 1 | no | — |
| 326 | C2×D20 | — | 4 | 2 | no | — |
| 327 | C2×D20 | — | 4 | 1 | no | — |
| 328 | C2×D20 | — | 8 | 1 | no | — |
| 329 | C2×C4×D5 | — | 2 | 1 | no | — |
| 330 | C2×C4×D5 | — | 4 | 2 | no | — |
| 331 | C2×C4×D5 | — | 4 | 1 | no | — |
| 332 | C2×C4×D5 | — | 8 | 1 | no | — |
| 333 | C2×C4×D5 | — | 8 | 2 | no | — |
| 334 | C2×C4×D5 | #120 | 1 | 1 | yes | characteristic |
| 335 | C2×Dic10 | — | 2 | 1 | no | — |
| 336 | C2×Dic10 | — | 4 | 2 | no | — |
| 337 | C2×Dic10 | — | 4 | 1 | no | — |
| 338 | C2×Dic10 | — | 8 | 2 | no | — |
| 339 | C2×#170 | — | 4 | 2 | no | — |
| 340 | C4⋊AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 341 | C4⋊AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 342 | C4⋊AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 343 | D5⋊C8 | — | 2 | 4 | no | — |
| 344 | D5⋊C8 | — | 4 | 2 | no | — |
| 345 | C5×Q16 | — | 4 | 2 | no | — |
| 346 | C5×Q16 | #102 | 1 | 2 | yes | complemented |
| 347 | C5×SD16 | — | 2 | 2 | no | — |
| 348 | C5×SD16 | — | 4 | 2 | no | — |
| 349 | C5×SD16 | — | 4 | 2 | no | — |
| 350 | C5×SD16 | — | 4 | 2 | no | — |
| 351 | C5×SD16 | — | 4 | 2 | no | — |
| 352 | C5×D8 | — | 4 | 2 | no | — |
| 353 | C5×D8 | #102 | 1 | 2 | yes | complemented |
| 354 | C5×M16 | — | 2 | 2 | no | — |
| 355 | C5×M16 | — | 4 | 2 | no | — |
| 356 | C2×C5×C8 | — | 4 | 2 | no | — |
| 357 | C2×C5×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 358 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 359 | C42×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 360 | #689 | — | 2 | 2 | no | — |
| 361 | #689 | — | 4 | 2 | no | — |
| 362 | #689 | — | 4 | 2 | no | — |
| 363 | #688 | — | 2 | 2 | no | — |
| 364 | #688 | — | 4 | 2 | no | — |
| 365 | #688 | — | 4 | 2 | no | — |
| 366 | #688 | — | 4 | 2 | no | — |
| 367 | #688 | — | 4 | 2 | no | — |
| 368 | #687 | — | 2 | 2 | no | — |
| 369 | #687 | — | 4 | 2 | no | — |
| 370 | #687 | — | 4 | 2 | no | — |
| 371 | #687 | — | 4 | 2 | no | — |
| 372 | #687 | — | 4 | 2 | no | — |
| 373 | #686 | — | 2 | 2 | no | — |
| 374 | #686 | — | 4 | 2 | no | — |
| 375 | #686 | — | 4 | 2 | no | — |
| 376 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 377 | #683 | — | 8 | 1 | no | — |
| 378 | C4×Dic5 | — | 2 | 1 | no | — |
| 379 | C4×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 380 | #681 | — | 2 | 2 | no | — |
| 381 | #681 | — | 4 | 2 | no | — |
| 382 | C2×#168 | — | 4 | 2 | no | — |
| 383 | C2×#168 | #120 | 1 | 2 | yes | — |
| 384 | Dic20 | — | 4 | 2 | no | — |
| 385 | Dic20 | #102 | 1 | 2 | yes | complemented |
| 386 | D40 | — | 4 | 2 | no | — |
| 387 | D40 | #102 | 1 | 2 | yes | complemented |
| 388 | #677 | — | 2 | 2 | no | — |
| 389 | #677 | — | 4 | 2 | no | — |
| 390 | #677 | — | 4 | 2 | no | — |
| 391 | #677 | — | 4 | 2 | no | — |
| 392 | #677 | — | 4 | 2 | no | — |
| 393 | #676 | — | 4 | 2 | no | — |
| 394 | #676 | — | 4 | 2 | no | — |
| 395 | #676 | — | 4 | 2 | no | — |
| 396 | C8×D5 | — | 4 | 2 | no | — |
| 397 | C8×D5 | — | 4 | 2 | no | — |
| 398 | C8×D5 | — | 4 | 2 | no | — |
| 399 | C8×D5 | C2×D8 | 1 | 2 | yes | — |
| 400 | C8×D5 | C2×SD16 | 1 | 2 | yes | — |
| 401 | C8×D5 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 402 | C8×D5 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 403 | #674 | — | 8 | 2 | no | — |
| 404 | C2×2−1+4 | — | 10 | 1 | no | — |
| 405 | C2×H(5,𝔽2) | — | 10 | 1 | no | — |
| 406 | #577 | — | 2 | 2 | no | — |
| 407 | #577 | — | 10 | 2 | no | — |
| 408 | #577 | — | 10 | 2 | no | — |
| 409 | #577 | — | 10 | 2 | no | — |
| 410 | #577 | — | 10 | 2 | no | — |
| 411 | #577 | — | 10 | 2 | no | — |
| 412 | #577 | — | 10 | 2 | no | — |
| 413 | #577 | — | 10 | 2 | no | — |
| 414 | #577 | — | 20 | 2 | no | — |
| 415 | #577 | — | 20 | 2 | no | — |
| 416 | #577 | — | 20 | 2 | no | — |
| 417 | #577 | — | 20 | 2 | no | — |
| 418 | C2×#137 | — | 10 | 2 | no | — |
| 419 | C2×#137 | — | 20 | 2 | no | — |
| 420 | C2×AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 421 | C2×AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 422 | C2×#135 | — | 5 | 2 | no | — |
| 423 | C2×#135 | — | 20 | 2 | no | — |
| 424 | C22×SD16 | — | 10 | 2 | no | — |
| 425 | C22×SD16 | — | 20 | 2 | no | — |
| 426 | C2×#131 | — | 10 | 2 | no | — |
| 427 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 428 | C2×#127 | — | 5 | 1 | no | — |
| 429 | C2×M32 | — | 10 | 2 | no | — |
| 430 | #492 | — | 5 | 1 | no | — |
| 431 | #492 | — | 5 | 1 | no | — |
| 432 | #492 | — | 5 | 1 | no | — |
| 433 | #492 | — | 10 | 2 | no | — |
| 434 | #492 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 435 | #471 | — | 2 | 2 | no | — |
| 436 | #471 | — | 10 | 2 | no | — |
| 437 | #471 | — | 10 | 2 | no | — |
| 438 | #471 | — | 10 | 2 | no | — |
| 439 | #471 | — | 10 | 2 | no | — |
| 440 | #471 | — | 10 | 2 | no | — |
| 441 | #471 | — | 10 | 2 | no | — |
| 442 | #471 | — | 10 | 2 | no | — |
| 443 | #456 | — | 2 | 1 | no | — |
| 444 | #456 | — | 10 | 1 | no | — |
| 445 | #456 | — | 10 | 2 | no | — |
| 446 | #456 | — | 10 | 2 | no | — |
| 447 | #456 | — | 10 | 1 | no | — |
| 448 | #456 | — | 10 | 1 | no | — |
| 449 | #453 | — | 2 | 1 | no | — |
| 450 | #453 | — | 10 | 1 | no | — |
| 451 | #453 | — | 10 | 2 | no | — |
| 452 | #453 | — | 10 | 2 | no | — |
| 453 | #453 | — | 10 | 1 | no | — |
| 454 | #453 | — | 10 | 1 | no | — |
| 455 | #443 | — | 5 | 2 | no | — |
| 456 | #443 | — | 5 | 2 | no | — |
| 457 | #443 | — | 5 | 2 | no | — |
| 458 | #443 | — | 10 | 2 | no | — |
| 459 | #443 | — | 10 | 2 | no | — |
| 460 | #443 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 461 | C2×#108 | — | 5 | 2 | no | — |
| 462 | C2×#106 | — | 10 | 2 | no | — |
| 463 | C2×#104 | — | 10 | 2 | no | — |
| 464 | C2×#102 | — | 20 | 2 | no | — |
| 465 | C2×#101 | — | 10 | 1 | no | — |
| 466 | C2×#100 | — | 10 | 1 | no | — |
| 467 | C2×C4×C8 | — | 5 | 1 | no | — |
| 468 | C2×C4×C8 | — | 10 | 1 | no | — |
| 469 | #384 | — | 10 | 1 | no | — |
| 470 | #364 | — | 10 | 2 | no | — |
| 471 | #364 | — | 10 | 2 | no | — |
| 472 | #360 | — | 20 | 2 | no | — |
| 473 | #360 | — | 20 | 2 | no | — |
| 474 | #340 | — | 20 | 2 | no | — |
| 475 | C82 | — | 10 | 2 | no | — |
| 476 | C23×C5 | — | 4 | 1 | no | — |
| 477 | C23×C5 | — | 8 | 1 | no | — |
| 478 | C22×D5 | — | 4 | 2 | no | — |
| 479 | C22×D5 | — | 4 | 1 | no | — |
| 480 | C22×D5 | — | 8 | 1 | no | — |
| 481 | C22×D5 | — | 8 | 2 | no | — |
| 482 | C22×D5 | — | 8 | 1 | no | — |
| 483 | C22×D5 | — | 8 | 1 | no | — |
| 484 | C22×D5 | — | 16 | 1 | no | — |
| 485 | C22×D5 | — | 16 | 1 | no | — |
| 486 | C22×D5 | — | 32 | 1 | no | — |
| 487 | C22×D5 | — | 32 | 1 | no | — |
| 488 | C22×D5 | #453 | 1 | 1 | yes | characteristic |
| 489 | C2×AGL(1,𝔽5) | — | 16 | 1 | no | — |
| 490 | C2×AGL(1,𝔽5) | — | 16 | 1 | no | — |
| 491 | C2×AGL(1,𝔽5) | — | 16 | 1 | no | — |
| 492 | C5×Q8 | — | 2 | 2 | no | — |
| 493 | C5×Q8 | — | 4 | 2 | no | — |
| 494 | C5×Q8 | — | 8 | 1 | no | — |
| 495 | C5×D4 | — | 2 | 2 | no | — |
| 496 | C5×D4 | — | 4 | 2 | no | — |
| 497 | C5×D4 | — | 4 | 2 | no | — |
| 498 | C5×D4 | — | 8 | 2 | no | — |
| 499 | C5×D4 | — | 8 | 2 | no | — |
| 500 | C5×D4 | — | 8 | 1 | no | — |
| 501 | C2×C4×C5 | — | 2 | 1 | no | — |
| 502 | C2×C4×C5 | — | 4 | 2 | no | — |
| 503 | C2×C4×C5 | — | 4 | 1 | no | — |
| 504 | C2×C4×C5 | — | 8 | 1 | no | — |
| 505 | C2×C4×C5 | — | 8 | 2 | no | — |
| 506 | C2×C4×C5 | #379 | 1 | 1 | yes | characteristic |
| 507 | C22⋊D5 | — | 4 | 2 | no | — |
| 508 | C22⋊D5 | — | 4 | 2 | no | — |
| 509 | C22⋊D5 | — | 4 | 2 | no | — |
| 510 | C22⋊D5 | — | 8 | 2 | no | — |
| 511 | C22⋊D5 | — | 8 | 2 | no | — |
| 512 | C22⋊D5 | — | 8 | 2 | no | — |
| 513 | C22⋊D5 | — | 8 | 2 | no | — |
| 514 | C22⋊D5 | — | 16 | 2 | no | — |
| 515 | C2×Dic5 | — | 2 | 1 | no | — |
| 516 | C2×Dic5 | — | 4 | 2 | no | — |
| 517 | C2×Dic5 | — | 4 | 1 | no | — |
| 518 | C2×Dic5 | — | 8 | 1 | no | — |
| 519 | C2×Dic5 | — | 8 | 2 | no | — |
| 520 | C2×Dic5 | #455 | 1 | 1 | yes | characteristic |
| 521 | D20 | — | 2 | 2 | no | — |
| 522 | D20 | — | 4 | 2 | no | — |
| 523 | D20 | — | 4 | 2 | no | — |
| 524 | D20 | — | 8 | 2 | no | — |
| 525 | D20 | — | 8 | 2 | no | — |
| 526 | D20 | — | 8 | 1 | no | — |
| 527 | C4×D5 | — | 2 | 2 | no | — |
| 528 | C4×D5 | — | 2 | 2 | no | — |
| 529 | C4×D5 | — | 4 | 2 | no | — |
| 530 | C4×D5 | — | 4 | 2 | no | — |
| 531 | C4×D5 | — | 4 | 2 | no | — |
| 532 | C4×D5 | — | 8 | 2 | no | — |
| 533 | C4×D5 | — | 8 | 2 | no | — |
| 534 | C4×D5 | — | 8 | 2 | no | — |
| 535 | C4×D5 | — | 8 | 1 | no | — |
| 536 | C4×D5 | — | 8 | 1 | no | — |
| 537 | C4×D5 | #447 | 1 | 2 | yes | — |
| 538 | C4×D5 | #450 | 1 | 2 | yes | — |
| 539 | Dic10 | — | 2 | 2 | no | — |
| 540 | Dic10 | — | 4 | 2 | no | — |
| 541 | Dic10 | — | 4 | 2 | no | — |
| 542 | Dic10 | — | 8 | 1 | no | — |
| 543 | Dic10 | — | 8 | 2 | no | — |
| 544 | Dic10 | — | 8 | 2 | no | — |
| 545 | #170 | — | 4 | 4 | no | — |
| 546 | C5×C8 | — | 4 | 2 | no | — |
| 547 | C5×C8 | C2×#102 | 1 | 2 | yes | — |
| 548 | C5×C8 | #418 | 1 | 2 | yes | — |
| 549 | #168 | — | 4 | 2 | no | — |
| 550 | #168 | #447 | 1 | 2 | yes | — |
| 551 | #168 | #450 | 1 | 2 | yes | — |
| 552 | 2−1+4 | — | 2 | 1 | no | — |
| 553 | 2−1+4 | — | 10 | 1 | no | — |
| 554 | 2−1+4 | — | 10 | 2 | no | — |
| 555 | 2−1+4 | — | 20 | 2 | no | — |
| 556 | 2−1+4 | — | 20 | 2 | no | — |
| 557 | 2−1+4 | — | 40 | 1 | no | — |
| 558 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 559 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 560 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 561 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 562 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 563 | H(5,𝔽2) | — | 40 | 1 | no | — |
| 564 | C2×#41 | — | 10 | 2 | no | — |
| 565 | C2×#41 | — | 20 | 2 | no | — |
| 566 | C2×#41 | — | 20 | 2 | no | — |
| 567 | C2×#41 | — | 40 | 1 | no | — |
| 568 | C22×Q8 | — | 10 | 1 | no | — |
| 569 | C22×Q8 | — | 20 | 2 | no | — |
| 570 | C22×D4 | — | 10 | 1 | no | — |
| 571 | C22×D4 | — | 20 | 1 | no | — |
| 572 | C22×D4 | — | 20 | 2 | no | — |
| 573 | C22×D4 | — | 40 | 1 | no | — |
| 574 | #137 | — | 2 | 2 | no | — |
| 575 | #137 | — | 4 | 2 | no | — |
| 576 | #137 | — | 10 | 2 | no | — |
| 577 | #137 | — | 10 | 2 | no | — |
| 578 | #137 | — | 10 | 2 | no | — |
| 579 | #137 | — | 20 | 2 | no | — |
| 580 | #137 | — | 20 | 2 | no | — |
| 581 | #137 | — | 20 | 2 | no | — |
| 582 | #137 | — | 20 | 2 | no | — |
| 583 | #137 | — | 20 | 2 | no | — |
| 584 | #137 | — | 20 | 2 | no | — |
| 585 | #137 | — | 20 | 2 | no | — |
| 586 | #137 | — | 20 | 2 | no | — |
| 587 | #137 | — | 20 | 2 | no | — |
| 588 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 589 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 590 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 591 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 592 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 593 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 594 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 595 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 596 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 597 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 598 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 599 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 600 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 601 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 602 | #135 | — | 4 | 2 | no | — |
| 603 | #135 | — | 5 | 2 | no | — |
| 604 | #135 | — | 5 | 2 | no | — |
| 605 | #135 | — | 5 | 2 | no | — |
| 606 | #135 | — | 10 | 2 | no | — |
| 607 | #135 | — | 10 | 2 | no | — |
| 608 | #135 | — | 20 | 2 | no | — |
| 609 | #135 | — | 20 | 2 | no | — |
| 610 | #135 | — | 20 | 2 | no | — |
| 611 | #135 | — | 20 | 2 | no | — |
| 612 | #135 | — | 20 | 2 | no | — |
| 613 | #135 | — | 20 | 2 | no | — |
| 614 | #135 | — | 20 | 2 | no | — |
| 615 | #135 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 616 | C2×Q16 | — | 5 | 2 | no | — |
| 617 | C2×Q16 | — | 20 | 2 | no | — |
| 618 | C2×SD16 | — | 2 | 2 | no | — |
| 619 | C2×SD16 | — | 4 | 2 | no | — |
| 620 | C2×SD16 | — | 10 | 2 | no | — |
| 621 | C2×SD16 | — | 10 | 2 | no | — |
| 622 | C2×SD16 | — | 10 | 2 | no | — |
| 623 | C2×SD16 | — | 10 | 2 | no | — |
| 624 | C2×SD16 | — | 20 | 2 | no | — |
| 625 | C2×SD16 | — | 20 | 2 | no | — |
| 626 | C2×SD16 | — | 20 | 2 | no | — |
| 627 | C2×SD16 | — | 20 | 2 | no | — |
| 628 | C2×SD16 | — | 20 | 2 | no | — |
| 629 | C2×SD16 | — | 20 | 2 | no | — |
| 630 | C2×SD16 | — | 20 | 2 | no | — |
| 631 | C2×SD16 | — | 20 | 2 | no | — |
| 632 | C2×SD16 | — | 20 | 2 | no | — |
| 633 | C2×SD16 | — | 20 | 2 | no | — |
| 634 | C2×SD16 | — | 20 | 2 | no | — |
| 635 | C2×SD16 | — | 20 | 2 | no | — |
| 636 | C2×SD16 | — | 20 | 2 | no | — |
| 637 | C2×D8 | — | 5 | 2 | no | — |
| 638 | C2×D8 | — | 20 | 2 | no | — |
| 639 | #131 | — | 2 | 2 | no | — |
| 640 | #131 | — | 10 | 2 | no | — |
| 641 | #131 | — | 10 | 2 | no | — |
| 642 | #131 | — | 10 | 2 | no | — |
| 643 | #131 | — | 20 | 2 | no | — |
| 644 | #131 | — | 20 | 2 | no | — |
| 645 | C2×M16 | — | 10 | 2 | no | — |
| 646 | C2×M16 | — | 20 | 2 | no | — |
| 647 | C22×C8 | — | 5 | 2 | no | — |
| 648 | C22×C8 | — | 10 | 2 | no | — |
| 649 | C22×C8 | — | 20 | 2 | no | — |
| 650 | C4⋊Q8 | — | 5 | 1 | no | — |
| 651 | C4⋊Q8 | — | 10 | 1 | no | — |
| 652 | C4⋊Q8 | — | 20 | 1 | no | — |
| 653 | C4⋊Q8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 654 | #127 | — | 5 | 1 | no | — |
| 655 | #127 | — | 10 | 1 | no | — |
| 656 | #127 | — | 20 | 1 | no | — |
| 657 | #127 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 658 | C2×C4⋊C4 | — | 20 | 1 | no | — |
| 659 | C2×C4⋊C4 | — | 20 | 1 | no | — |
| 660 | C2×C4⋊C4 | — | 20 | 1 | no | — |
| 661 | C2×C4⋊C4 | — | 20 | 1 | no | — |
| 662 | C2×C42 | — | 5 | 1 | no | — |
| 663 | M32 | — | 20 | 2 | no | — |
| 664 | M32 | — | 20 | 2 | no | — |
| 665 | C2×C16 | — | 20 | 2 | no | — |
| 666 | #108 | — | 5 | 2 | no | — |
| 667 | #108 | — | 10 | 2 | no | — |
| 668 | #108 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 669 | #106 | — | 20 | 2 | no | — |
| 670 | #106 | — | 20 | 2 | no | — |
| 671 | #104 | — | 2 | 2 | no | — |
| 672 | #104 | — | 10 | 2 | no | — |
| 673 | #104 | — | 10 | 2 | no | — |
| 674 | #104 | — | 10 | 2 | no | — |
| 675 | #102 | — | 40 | 4 | no | — |
| 676 | #101 | — | 2 | 1 | no | — |
| 677 | #101 | — | 10 | 2 | no | — |
| 678 | #101 | — | 10 | 1 | no | — |
| 679 | #100 | — | 2 | 1 | no | — |
| 680 | #100 | — | 10 | 2 | no | — |
| 681 | #100 | — | 10 | 1 | no | — |
| 682 | C4×C8 | — | 5 | 2 | no | — |
| 683 | C4×C8 | — | 5 | 1 | no | — |
| 684 | C4×C8 | — | 20 | 1 | no | — |
| 685 | C4×C8 | — | 20 | 1 | no | — |
| 686 | C4×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 687 | C22×C5 | — | 4 | 2 | no | — |
| 688 | C22×C5 | — | 8 | 1 | no | — |
| 689 | C22×C5 | — | 16 | 1 | no | — |
| 690 | C22×C5 | — | 32 | 1 | no | — |
| 691 | C22×C5 | #1792 | 1 | 1 | yes | characteristic |
| 692 | C2×D5 | — | 2 | 1 | no | — |
| 693 | C2×D5 | — | 2 | 1 | no | — |
| 694 | C2×D5 | — | 4 | 2 | no | — |
| 695 | C2×D5 | — | 8 | 2 | no | — |
| 696 | C2×D5 | — | 8 | 2 | no | — |
| 697 | C2×D5 | — | 8 | 1 | no | — |
| 698 | C2×D5 | — | 16 | 1 | no | — |
| 699 | C2×D5 | — | 16 | 1 | no | — |
| 700 | C2×D5 | — | 16 | 1 | no | — |
| 701 | C2×D5 | — | 32 | 1 | no | — |
| 702 | C2×D5 | — | 32 | 1 | no | — |
| 703 | C2×D5 | — | 32 | 2 | no | — |
| 704 | C2×D5 | #1619 | 1 | 1 | yes | characteristic |
| 705 | C2×D5 | #1629 | 1 | 1 | yes | characteristic |
| 706 | AGL(1,𝔽5) | — | 32 | 1 | no | — |
| 707 | C4×C5 | — | 2 | 2 | no | — |
| 708 | C4×C5 | — | 4 | 2 | no | — |
| 709 | C4×C5 | — | 8 | 1 | no | — |
| 710 | C4×C5 | #1786 | 1 | 2 | yes | — |
| 711 | Dic5 | — | 2 | 2 | no | — |
| 712 | Dic5 | — | 4 | 2 | no | — |
| 713 | Dic5 | — | 8 | 1 | no | — |
| 714 | Dic5 | #1639 | 1 | 2 | yes | — |
| 715 | C24 | — | 20 | 1 | no | — |
| 716 | C24 | — | 40 | 1 | no | — |
| 717 | #41 | — | 2 | 2 | no | — |
| 718 | #41 | — | 4 | 2 | no | — |
| 719 | #41 | — | 4 | 2 | no | — |
| 720 | #41 | — | 8 | 1 | no | — |
| 721 | #41 | — | 10 | 2 | no | — |
| 722 | #41 | — | 10 | 2 | no | — |
| 723 | #41 | — | 10 | 2 | no | — |
| 724 | #41 | — | 20 | 2 | no | — |
| 725 | #41 | — | 20 | 2 | no | — |
| 726 | #41 | — | 20 | 2 | no | — |
| 727 | #41 | — | 20 | 2 | no | — |
| 728 | #41 | — | 20 | 2 | no | — |
| 729 | #41 | — | 20 | 2 | no | — |
| 730 | #41 | — | 20 | 2 | no | — |
| 731 | #41 | — | 20 | 2 | no | — |
| 732 | #41 | — | 40 | 1 | no | — |
| 733 | #41 | — | 40 | 2 | no | — |
| 734 | #41 | — | 40 | 2 | no | — |
| 735 | #41 | — | 40 | 2 | no | — |
| 736 | #41 | — | 40 | 2 | no | — |
| 737 | #41 | — | 40 | 2 | no | — |
| 738 | #41 | — | 40 | 2 | no | — |
| 739 | #41 | — | 40 | 1 | no | — |
| 740 | #41 | — | 40 | 1 | no | — |
| 741 | C2×Q8 | — | 2 | 1 | no | — |
| 742 | C2×Q8 | — | 4 | 2 | no | — |
| 743 | C2×Q8 | — | 10 | 2 | no | — |
| 744 | C2×Q8 | — | 10 | 1 | no | — |
| 745 | C2×Q8 | — | 20 | 1 | no | — |
| 746 | C2×Q8 | — | 20 | 2 | no | — |
| 747 | C2×Q8 | — | 20 | 2 | no | — |
| 748 | C2×Q8 | — | 20 | 2 | no | — |
| 749 | C2×Q8 | — | 20 | 2 | no | — |
| 750 | C2×Q8 | — | 20 | 2 | no | — |
| 751 | C2×Q8 | — | 40 | 2 | no | — |
| 752 | C2×Q8 | — | 40 | 1 | no | — |
| 753 | C2×Q8 | — | 40 | 2 | no | — |
| 754 | C2×D4 | — | 2 | 1 | no | — |
| 755 | C2×D4 | — | 4 | 1 | no | — |
| 756 | C2×D4 | — | 4 | 2 | no | — |
| 757 | C2×D4 | — | 8 | 1 | no | — |
| 758 | C2×D4 | — | 10 | 2 | no | — |
| 759 | C2×D4 | — | 10 | 1 | no | — |
| 760 | C2×D4 | — | 20 | 1 | no | — |
| 761 | C2×D4 | — | 20 | 2 | no | — |
| 762 | C2×D4 | — | 20 | 2 | no | — |
| 763 | C2×D4 | — | 20 | 2 | no | — |
| 764 | C2×D4 | — | 20 | 1 | no | — |
| 765 | C2×D4 | — | 20 | 2 | no | — |
| 766 | C2×D4 | — | 20 | 2 | no | — |
| 767 | C2×D4 | — | 20 | 2 | no | — |
| 768 | C2×D4 | — | 40 | 1 | no | — |
| 769 | C2×D4 | — | 40 | 2 | no | — |
| 770 | C2×D4 | — | 40 | 2 | no | — |
| 771 | C2×D4 | — | 40 | 1 | no | — |
| 772 | C2×D4 | — | 40 | 2 | no | — |
| 773 | C2×D4 | — | 40 | 2 | no | — |
| 774 | C2×D4 | — | 40 | 2 | no | — |
| 775 | C2×D4 | — | 40 | 2 | no | — |
| 776 | C2×D4 | — | 40 | 2 | no | — |
| 777 | C2×D4 | — | 40 | 1 | no | — |
| 778 | C2×D4 | — | 40 | 1 | no | — |
| 779 | C2×D4 | — | 40 | 1 | no | — |
| 780 | C22×C4 | — | 5 | 1 | no | — |
| 781 | C22×C4 | — | 10 | 1 | no | — |
| 782 | C22×C4 | — | 20 | 2 | no | — |
| 783 | C22×C4 | — | 20 | 1 | no | — |
| 784 | C22×C4 | — | 40 | 1 | no | — |
| 785 | C22×C4 | — | 40 | 2 | no | — |
| 786 | C22×C4 | — | 40 | 1 | no | — |
| 787 | Q16 | — | 4 | 2 | no | — |
| 788 | Q16 | — | 5 | 2 | no | — |
| 789 | Q16 | — | 10 | 2 | no | — |
| 790 | Q16 | — | 20 | 2 | no | — |
| 791 | Q16 | — | 20 | 2 | no | — |
| 792 | Q16 | — | 20 | 2 | no | — |
| 793 | Q16 | #4007 | 1 | 2 | yes | complemented |
| 794 | SD16 | — | 2 | 2 | no | — |
| 795 | SD16 | — | 4 | 2 | no | — |
| 796 | SD16 | — | 4 | 2 | no | — |
| 797 | SD16 | — | 4 | 2 | no | — |
| 798 | SD16 | — | 4 | 2 | no | — |
| 799 | SD16 | — | 10 | 2 | no | — |
| 800 | SD16 | — | 10 | 2 | no | — |
| 801 | SD16 | — | 10 | 2 | no | — |
| 802 | SD16 | — | 20 | 2 | no | — |
| 803 | SD16 | — | 20 | 2 | no | — |
| 804 | SD16 | — | 20 | 2 | no | — |
| 805 | SD16 | — | 20 | 2 | no | — |
| 806 | SD16 | — | 20 | 2 | no | — |
| 807 | SD16 | — | 20 | 2 | no | — |
| 808 | SD16 | — | 20 | 2 | no | — |
| 809 | SD16 | — | 20 | 2 | no | — |
| 810 | SD16 | — | 20 | 2 | no | — |
| 811 | SD16 | — | 20 | 2 | no | — |
| 812 | SD16 | — | 20 | 2 | no | — |
| 813 | SD16 | — | 20 | 2 | no | — |
| 814 | D8 | — | 4 | 2 | no | — |
| 815 | D8 | — | 5 | 2 | no | — |
| 816 | D8 | — | 10 | 2 | no | — |
| 817 | D8 | — | 20 | 2 | no | — |
| 818 | D8 | — | 20 | 2 | no | — |
| 819 | D8 | — | 20 | 2 | no | — |
| 820 | D8 | #4007 | 1 | 2 | yes | complemented |
| 821 | M16 | — | 2 | 2 | no | — |
| 822 | M16 | — | 4 | 2 | no | — |
| 823 | M16 | — | 10 | 2 | no | — |
| 824 | M16 | — | 20 | 2 | no | — |
| 825 | M16 | — | 20 | 2 | no | — |
| 826 | M16 | — | 20 | 2 | no | — |
| 827 | M16 | — | 20 | 2 | no | — |
| 828 | C2×C8 | — | 4 | 2 | no | — |
| 829 | C2×C8 | — | 5 | 2 | no | — |
| 830 | C2×C8 | — | 5 | 2 | no | — |
| 831 | C2×C8 | — | 5 | 2 | no | — |
| 832 | C2×C8 | — | 5 | 2 | no | — |
| 833 | C2×C8 | — | 5 | 2 | no | — |
| 834 | C2×C8 | — | 10 | 4 | no | — |
| 835 | C2×C8 | — | 20 | 2 | no | — |
| 836 | C2×C8 | — | 20 | 2 | no | — |
| 837 | C2×C8 | — | 20 | 2 | no | — |
| 838 | C2×C8 | — | 20 | 2 | no | — |
| 839 | C2×C8 | — | 20 | 2 | no | — |
| 840 | C2×C8 | — | 20 | 2 | no | — |
| 841 | C2×C8 | C2×C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 842 | C4⋊C4 | — | 4 | 1 | no | — |
| 843 | C4⋊C4 | — | 20 | 1 | no | — |
| 844 | C4⋊C4 | — | 40 | 1 | no | — |
| 845 | C4⋊C4 | — | 40 | 2 | no | — |
| 846 | C4⋊C4 | — | 40 | 2 | no | — |
| 847 | C4⋊C4 | — | 40 | 2 | no | — |
| 848 | C42 | — | 5 | 1 | no | — |
| 849 | C42 | — | 10 | 1 | no | — |
| 850 | C42 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 851 | C16 | — | 40 | 2 | no | — |
| 852 | C2×C5 | — | 2 | 1 | no | — |
| 853 | C2×C5 | — | 8 | 2 | no | — |
| 854 | C2×C5 | — | 16 | 1 | no | — |
| 855 | C2×C5 | #8443 | 1 | 1 | yes | characteristic |
| 856 | D5 | — | 2 | 1 | no | — |
| 857 | D5 | — | 8 | 2 | no | — |
| 858 | D5 | — | 16 | 1 | no | — |
| 859 | D5 | #12364 | 1 | 1 | yes | characteristic |
| 860 | D5 | #12365 | 1 | 1 | yes | characteristic |
| 861 | C23 | — | 4 | 1 | no | — |
| 862 | C23 | — | 5 | 1 | no | — |
| 863 | C23 | — | 8 | 1 | no | — |
| 864 | C23 | — | 20 | 2 | no | — |
| 865 | C23 | — | 20 | 1 | no | — |
| 866 | C23 | — | 40 | 2 | no | — |
| 867 | C23 | — | 40 | 1 | no | — |
| 868 | C23 | — | 40 | 1 | no | — |
| 869 | C23 | — | 40 | 1 | no | — |
| 870 | C23 | — | 80 | 1 | no | — |
| 871 | C23 | — | 80 | 1 | no | — |
| 872 | C23 | — | 160 | 1 | no | — |
| 873 | C23 | — | 160 | 1 | no | — |
| 874 | Q8 | — | 2 | 2 | no | — |
| 875 | Q8 | — | 4 | 2 | no | — |
| 876 | Q8 | — | 8 | 1 | no | — |
| 877 | Q8 | — | 10 | 2 | no | — |
| 878 | Q8 | — | 20 | 2 | no | — |
| 879 | Q8 | — | 20 | 2 | no | — |
| 880 | Q8 | — | 40 | 2 | no | — |
| 881 | Q8 | — | 40 | 2 | no | — |
| 882 | Q8 | — | 40 | 1 | no | — |
| 883 | D4 | — | 2 | 2 | no | — |
| 884 | D4 | — | 4 | 2 | no | — |
| 885 | D4 | — | 4 | 2 | no | — |
| 886 | D4 | — | 8 | 2 | no | — |
| 887 | D4 | — | 8 | 2 | no | — |
| 888 | D4 | — | 8 | 1 | no | — |
| 889 | D4 | — | 10 | 2 | no | — |
| 890 | D4 | — | 20 | 2 | no | — |
| 891 | D4 | — | 20 | 2 | no | — |
| 892 | D4 | — | 20 | 2 | no | — |
| 893 | D4 | — | 20 | 2 | no | — |
| 894 | D4 | — | 20 | 2 | no | — |
| 895 | D4 | — | 40 | 2 | no | — |
| 896 | D4 | — | 40 | 2 | no | — |
| 897 | D4 | — | 40 | 2 | no | — |
| 898 | D4 | — | 40 | 1 | no | — |
| 899 | D4 | — | 40 | 2 | no | — |
| 900 | D4 | — | 40 | 2 | no | — |
| 901 | D4 | — | 40 | 2 | no | — |
| 902 | D4 | — | 80 | 2 | no | — |
| 903 | C2×C4 | — | 2 | 1 | no | — |
| 904 | C2×C4 | — | 4 | 2 | no | — |
| 905 | C2×C4 | — | 4 | 1 | no | — |
| 906 | C2×C4 | — | 5 | 1 | no | — |
| 907 | C2×C4 | — | 5 | 2 | no | — |
| 908 | C2×C4 | — | 5 | 2 | no | — |
| 909 | C2×C4 | — | 8 | 1 | no | — |
| 910 | C2×C4 | — | 8 | 2 | no | — |
| 911 | C2×C4 | — | 10 | 2 | no | — |
| 912 | C2×C4 | — | 10 | 2 | no | — |
| 913 | C2×C4 | — | 10 | 1 | no | — |
| 914 | C2×C4 | — | 20 | 2 | no | — |
| 915 | C2×C4 | — | 20 | 2 | no | — |
| 916 | C2×C4 | — | 20 | 2 | no | — |
| 917 | C2×C4 | — | 20 | 2 | no | — |
| 918 | C2×C4 | — | 20 | 1 | no | — |
| 919 | C2×C4 | — | 40 | 2 | no | — |
| 920 | C2×C4 | — | 40 | 2 | no | — |
| 921 | C2×C4 | — | 40 | 2 | no | — |
| 922 | C2×C4 | — | 40 | 1 | no | — |
| 923 | C2×C4 | — | 40 | 1 | no | — |
| 924 | C2×C4 | — | 40 | 1 | no | — |
| 925 | C2×C4 | — | 40 | 2 | no | — |
| 926 | C2×C4 | — | 80 | 1 | no | — |
| 927 | C2×C4 | — | 80 | 1 | no | — |
| 928 | C2×C4 | — | 80 | 1 | no | — |
| 929 | C2×C4 | #65800 | 1 | 1 | yes | characteristic |
| 930 | C8 | — | 4 | 2 | no | — |
| 931 | C8 | — | 5 | 2 | no | — |
| 932 | C8 | — | 5 | 2 | no | — |
| 933 | C8 | — | 20 | 4 | no | — |
| 934 | C8 | — | 20 | 2 | no | — |
| 935 | C8 | C2×#4007 | 1 | 2 | yes | — |
| 936 | C8 | #65767 | 1 | 2 | yes | — |
| 937 | C5 | #131841 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 938 | C22 | — | 4 | 2 | no | — |
| 939 | C22 | — | 5 | 1 | no | — |
| 940 | C22 | — | 5 | 1 | no | — |
| 941 | C22 | — | 8 | 1 | no | — |
| 942 | C22 | — | 10 | 1 | no | — |
| 943 | C22 | — | 10 | 1 | no | — |
| 944 | C22 | — | 16 | 1 | no | — |
| 945 | C22 | — | 20 | 2 | no | — |
| 946 | C22 | — | 32 | 1 | no | — |
| 947 | C22 | — | 40 | 2 | no | — |
| 948 | C22 | — | 40 | 2 | no | — |
| 949 | C22 | — | 40 | 1 | no | — |
| 950 | C22 | — | 80 | 1 | no | — |
| 951 | C22 | — | 80 | 1 | no | — |
| 952 | C22 | — | 80 | 1 | no | — |
| 953 | C22 | — | 160 | 2 | no | — |
| 954 | C22 | — | 160 | 1 | no | — |
| 955 | C22 | — | 160 | 1 | no | — |
| 956 | C22 | #10605015 | 1 | 1 | yes | characteristic |
| 957 | C4 | — | 2 | 2 | no | — |
| 958 | C4 | — | 4 | 2 | no | — |
| 959 | C4 | — | 5 | 2 | no | — |
| 960 | C4 | — | 8 | 1 | no | — |
| 961 | C4 | — | 10 | 2 | no | — |
| 962 | C4 | — | 20 | 2 | no | — |
| 963 | C4 | — | 40 | 1 | no | — |
| 964 | C4 | — | 160 | 1 | no | — |
| 965 | C4 | #10604928 | 1 | 2 | yes | — |
| 966 | C2 | — | 2 | 1 | no | — |
| 967 | C2 | — | 5 | 1 | no | — |
| 968 | C2 | — | 5 | 1 | no | — |
| 969 | C2 | — | 8 | 2 | no | — |
| 970 | C2 | — | 10 | 1 | no | — |
| 971 | C2 | — | 16 | 1 | no | — |
| 972 | C2 | — | 40 | 2 | no | — |
| 973 | C2 | — | 80 | 1 | no | — |
| 974 | C2 | #13017812 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13026462 | C2 | semidirect |
| 2. D5⋊#1359 | C2 | semidirect |
| 3. D5⋊#1335 | C2 | semidirect |
| 4. #13021321 | C2 | semidirect |
| 7. C5×#3291 | C4 | semidirect |
| 9. #10613505 | C4 | semidirect |
| 17. #10611624 | C4 | semidirect |
| 22. #10603847 | C22 | semidirect |
| 23. D5⋊#364 | C22 | semidirect |
| 24. C8×D5⋊C8 | C22 | semidirect |
| 250. #3291 | AGL(1,𝔽5) | semidirect |
| 346. C5×Q16 | #102 | semidirect |
| 353. C5×D8 | #102 | semidirect |
| 385. Dic20 | #102 | semidirect |
| 387. D40 | #102 | semidirect |
| 793. Q16 | #4007 | semidirect |
| 820. D8 | #4007 | semidirect |
| 937. C5 | #131841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13026462 | 2 |
| D5⋊#1359 | 2 |
| D5⋊#1335 | 2 |
| #13021321 | 2 |
| D5×#3291 | 2 |
| #131841 | 5 |