Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2682 conjugacy classes of subgroups.
The subgroup lattice has 856 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D5×#577 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | C5×#3291 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10615745 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #10613505 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | D5×#492 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10612666 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | D5×#471 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10612033 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | D5×#456 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10612012 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | D5×#453 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10611624 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | D5×#443 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | D5×2−1+4 | C22 | 1 | 2 | yes | — |
| 15 | D5×H(5,𝔽2) | C22 | 1 | 2 | yes | complemented |
| 16 | C5×#577 | C22 | 1 | 4 | yes | complemented |
| 17 | #66171 | C22 | 1 | 4 | yes | complemented |
| 18 | #66170 | C22 | 1 | 4 | yes | complemented |
| 19 | #66112 | — | 2 | 4 | no | — |
| 20 | #66112 | C22 | 1 | 4 | yes | complemented |
| 21 | D5×#137 | — | 2 | 4 | no | — |
| 22 | D5×#137 | C22 | 1 | 4 | yes | complemented |
| 23 | #66109 | — | 2 | 4 | no | — |
| 24 | #66109 | C22 | 1 | 4 | yes | complemented |
| 25 | D5×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 26 | D5×AGL(1,ℤ/8) | C22 | 1 | 4 | yes | — |
| 27 | #66104 | — | 2 | 4 | no | — |
| 28 | #66104 | C22 | 1 | 4 | yes | complemented |
| 29 | D5×#135 | — | 2 | 4 | no | — |
| 30 | D5×#135 | C22 | 1 | 2 | yes | — |
| 31 | #66096 | — | 2 | 4 | no | — |
| 32 | #66096 | C22 | 1 | 4 | yes | complemented |
| 33 | C2×D5×SD16 | — | 2 | 4 | no | — |
| 34 | C2×D5×SD16 | C22 | 1 | 4 | yes | complemented |
| 35 | #66085 | C22 | 1 | 4 | yes | complemented |
| 36 | D5×#131 | C22 | 1 | 4 | yes | complemented |
| 37 | D5×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | D5×#127 | C22 | 1 | 1 | yes | characteristic |
| 39 | C5×#492 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C5×#471 | C22 | 1 | 4 | yes | complemented |
| 41 | C5×#456 | C22 | 1 | 2 | yes | complemented |
| 42 | C5×#453 | C22 | 1 | 2 | yes | complemented |
| 43 | C5×#443 | C22 | 1 | 2 | yes | complemented |
| 44 | #65535 | C22 | 1 | 2 | yes | complemented |
| 45 | #65530 | C22 | 1 | 2 | yes | complemented |
| 46 | #65494 | C22 | 1 | 4 | yes | complemented |
| 47 | #65492 | C22 | 1 | 4 | yes | complemented |
| 48 | #65489 | C22 | 1 | 4 | yes | complemented |
| 49 | #65487 | C22 | 1 | 4 | yes | complemented |
| 50 | #65485 | C22 | 1 | 2 | yes | complemented |
| 51 | #65466 | C22 | 1 | 4 | yes | complemented |
| 52 | #65464 | C22 | 1 | 4 | yes | complemented |
| 53 | #65433 | C22 | 1 | 4 | yes | complemented |
| 54 | #65430 | C22 | 1 | 4 | yes | complemented |
| 55 | #65384 | C22 | 1 | 2 | yes | complemented |
| 56 | #65374 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #65366 | C22 | 1 | 2 | yes | complemented |
| 58 | #65365 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #65187 | C22 | 1 | 4 | yes | complemented |
| 60 | #65184 | C22 | 1 | 2 | yes | complemented |
| 61 | D5×#108 | C22 | 1 | 2 | yes | complemented |
| 62 | #65115 | C22 | 1 | 4 | yes | complemented |
| 63 | #65113 | C22 | 1 | 4 | yes | complemented |
| 64 | #65111 | C22 | 1 | 4 | yes | complemented |
| 65 | D5×#104 | C22 | 1 | 4 | yes | complemented |
| 66 | #65043 | C22 | 1 | 4 | yes | complemented |
| 67 | #65041 | C22 | 1 | 2 | yes | complemented |
| 68 | D5×#101 | C22 | 1 | 2 | yes | complemented |
| 69 | #65037 | C22 | 1 | 4 | yes | complemented |
| 70 | #65036 | C22 | 1 | 2 | yes | complemented |
| 71 | D5×#100 | C22 | 1 | 2 | yes | complemented |
| 72 | #64989 | C22 | 1 | 2 | yes | complemented |
| 73 | #64982 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | C4×C8×D5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | C2×#3291 | — | 5 | 1 | no | maximal, Sylow |
| 76 | C5×2−1+4 | C23 | 1 | 2 | yes | — |
| 77 | C5×H(5,𝔽2) | C23 | 1 | 2 | yes | complemented |
| 78 | #4150 | — | 2 | 4 | no | — |
| 79 | #4150 | — | 4 | 2 | no | — |
| 80 | #4150 | C23 | 1 | 4 | yes | — |
| 81 | #4149 | — | 2 | 4 | no | — |
| 82 | #4149 | C23 | 1 | 4 | yes | complemented |
| 83 | D5×#41 | — | 2 | 4 | no | — |
| 84 | D5×#41 | — | 2 | 4 | no | — |
| 85 | D5×#41 | — | 4 | 2 | no | — |
| 86 | D5×#41 | C23 | 1 | 4 | yes | — |
| 87 | #4147 | — | 2 | 4 | no | — |
| 88 | #4147 | C23 | 1 | 2 | yes | — |
| 89 | C2×Q8×D5 | — | 2 | 4 | no | — |
| 90 | C2×Q8×D5 | C23 | 1 | 2 | yes | — |
| 91 | #4144 | — | 2 | 4 | no | — |
| 92 | #4144 | — | 4 | 2 | no | — |
| 93 | #4144 | C23 | 1 | 2 | yes | complemented |
| 94 | C2×D4×D5 | — | 2 | 4 | no | — |
| 95 | C2×D4×D5 | — | 4 | 1 | no | — |
| 96 | C2×D4×D5 | — | 4 | 2 | no | — |
| 97 | C2×D4×D5 | C23 | 1 | 2 | yes | — |
| 98 | C5×#137 | — | 2 | 4 | no | — |
| 99 | C5×#137 | C23 | 1 | 4 | yes | complemented |
| 100 | C5×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 101 | C5×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | — |
| 102 | C5×#135 | — | 2 | 4 | no | — |
| 103 | C5×#135 | C23 | 1 | 2 | yes | — |
| 104 | C2×C5×SD16 | — | 2 | 4 | no | — |
| 105 | C2×C5×SD16 | C23 | 1 | 4 | yes | complemented |
| 106 | C5×#131 | C23 | 1 | 4 | yes | complemented |
| 107 | C5×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 108 | C5×#127 | C23 | 1 | 1 | yes | characteristic |
| 109 | #4097 | — | 2 | 4 | no | — |
| 110 | #4097 | C23 | 1 | 4 | yes | complemented |
| 111 | #4096 | — | 2 | 4 | no | — |
| 112 | #4096 | — | 2 | 4 | no | — |
| 113 | #4096 | C23 | 1 | 4 | yes | — |
| 114 | #4095 | — | 2 | 4 | no | — |
| 115 | #4095 | C23 | 1 | 4 | yes | — |
| 116 | #4094 | C23 | 1 | 4 | yes | complemented |
| 117 | #4090 | C23 | 1 | 2 | yes | complemented |
| 118 | #4088 | — | 2 | 4 | no | — |
| 119 | #4088 | C23 | 1 | 4 | yes | complemented |
| 120 | C2×#688 | — | 2 | 4 | no | — |
| 121 | C2×#688 | C23 | 1 | 4 | yes | complemented |
| 122 | #4086 | — | 4 | 1 | no | — |
| 123 | #4086 | C23 | 1 | 2 | yes | — |
| 124 | C2×#687 | — | 2 | 4 | no | — |
| 125 | C2×#687 | C23 | 1 | 4 | yes | complemented |
| 126 | #4078 | — | 2 | 4 | no | — |
| 127 | #4078 | C23 | 1 | 4 | yes | — |
| 128 | #4065 | — | 2 | 4 | no | — |
| 129 | #4065 | D4 | 1 | 2 | yes | complemented |
| 130 | #4064 | — | 2 | 4 | no | — |
| 131 | #4064 | — | 2 | 4 | no | — |
| 132 | #4064 | — | 2 | 4 | no | — |
| 133 | D5×Q16 | — | 2 | 4 | no | — |
| 134 | D5×Q16 | D4 | 1 | 2 | yes | complemented |
| 135 | #4062 | — | 2 | 4 | no | — |
| 136 | #4062 | — | 2 | 4 | no | — |
| 137 | #4062 | D4 | 1 | 4 | yes | complemented |
| 138 | #4061 | — | 2 | 4 | no | — |
| 139 | #4061 | — | 2 | 4 | no | — |
| 140 | #4061 | — | 2 | 4 | no | — |
| 141 | #4060 | — | 2 | 4 | no | — |
| 142 | #4060 | — | 2 | 4 | no | — |
| 143 | #4060 | — | 2 | 4 | no | — |
| 144 | D5×SD16 | — | 2 | 4 | no | — |
| 145 | D5×SD16 | — | 2 | 4 | no | — |
| 146 | D5×SD16 | — | 2 | 4 | no | — |
| 147 | D5×SD16 | — | 2 | 4 | no | — |
| 148 | D5×SD16 | — | 2 | 4 | no | — |
| 149 | D5×SD16 | — | 2 | 4 | no | — |
| 150 | D5×SD16 | — | 2 | 4 | no | — |
| 151 | D5×SD16 | — | 2 | 4 | no | — |
| 152 | D5×SD16 | — | 2 | 4 | no | — |
| 153 | D5×SD16 | — | 2 | 4 | no | — |
| 154 | D5×SD16 | D4 | 1 | 4 | yes | complemented |
| 155 | #4058 | — | 2 | 4 | no | — |
| 156 | #4058 | D4 | 1 | 2 | yes | complemented |
| 157 | #4057 | — | 2 | 4 | no | — |
| 158 | #4057 | — | 2 | 4 | no | — |
| 159 | #4057 | — | 2 | 4 | no | — |
| 160 | D5×D8 | — | 2 | 4 | no | — |
| 161 | D5×D8 | D4 | 1 | 2 | yes | complemented |
| 162 | #4055 | — | 2 | 4 | no | — |
| 163 | #4055 | C23 | 1 | 4 | yes | complemented |
| 164 | #4054 | — | 2 | 4 | no | — |
| 165 | #4054 | C23 | 1 | 4 | yes | — |
| 166 | #4053 | — | 2 | 4 | no | — |
| 167 | #4053 | C23 | 1 | 4 | yes | complemented |
| 168 | D5×M16 | — | 2 | 4 | no | — |
| 169 | D5×M16 | C23 | 1 | 4 | yes | — |
| 170 | #4050 | — | 2 | 4 | no | — |
| 171 | #4050 | C23 | 1 | 2 | yes | — |
| 172 | C2×#677 | — | 2 | 4 | no | — |
| 173 | C2×#677 | C23 | 1 | 4 | yes | complemented |
| 174 | #4047 | — | 2 | 4 | no | — |
| 175 | #4047 | C23 | 1 | 4 | yes | complemented |
| 176 | C2×C8×D5 | — | 2 | 4 | no | — |
| 177 | C2×C8×D5 | C23 | 1 | 2 | yes | — |
| 178 | D5×C4⋊C4 | — | 4 | 1 | no | — |
| 179 | #4034 | — | 4 | 1 | no | — |
| 180 | #4020 | C23 | 1 | 1 | yes | characteristic |
| 181 | C42×D5 | C23 | 1 | 1 | yes | characteristic |
| 182 | #4015 | C23 | 1 | 1 | yes | characteristic, complemented |
| 183 | C5×#108 | C23 | 1 | 2 | yes | complemented |
| 184 | C5×#104 | C23 | 1 | 4 | yes | complemented |
| 185 | C5×#101 | C23 | 1 | 2 | yes | complemented |
| 186 | C5×#100 | C23 | 1 | 2 | yes | complemented |
| 187 | C4×C5×C8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 188 | #3969 | C23 | 1 | 4 | yes | complemented |
| 189 | #3968 | C23 | 1 | 2 | yes | complemented |
| 190 | #3965 | C23 | 1 | 2 | yes | complemented |
| 191 | #3957 | C23 | 1 | 4 | yes | complemented |
| 192 | #3956 | C23 | 1 | 4 | yes | complemented |
| 193 | #3955 | C23 | 1 | 4 | yes | complemented |
| 194 | #3954 | C23 | 1 | 4 | yes | complemented |
| 195 | #3951 | C23 | 1 | 2 | yes | complemented |
| 196 | C8×Dic5 | C23 | 1 | 2 | yes | complemented |
| 197 | #3937 | C23 | 1 | 4 | yes | complemented |
| 198 | C4×#168 | C23 | 1 | 1 | yes | characteristic, complemented |
| 199 | C2×#577 | — | 5 | 4 | no | — |
| 200 | #3291 | — | 5 | 1 | no | — |
| 201 | #3291 | — | 5 | 4 | no | — |
| 202 | #3291 | — | 5 | 2 | no | — |
| 203 | #3291 | — | 5 | 2 | no | — |
| 204 | #3291 | — | 5 | 2 | no | — |
| 205 | #3291 | — | 5 | 4 | no | — |
| 206 | #3291 | D5 | 1 | 1 | yes | characteristic, direct product factor |
| 207 | C2×#492 | — | 5 | 1 | no | — |
| 208 | C2×#471 | — | 5 | 4 | no | — |
| 209 | C2×#456 | — | 5 | 2 | no | — |
| 210 | C2×#453 | — | 5 | 2 | no | — |
| 211 | C2×#443 | — | 5 | 2 | no | — |
| 212 | C23×D5 | — | 2 | 2 | no | — |
| 213 | C23×D5 | — | 4 | 2 | no | — |
| 214 | C5×#41 | — | 2 | 4 | no | — |
| 215 | C5×#41 | — | 2 | 4 | no | — |
| 216 | C5×#41 | — | 4 | 2 | no | — |
| 217 | C5×#41 | C24 | 1 | 4 | yes | — |
| 218 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 219 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 220 | C2×C5×D4 | — | 2 | 4 | no | — |
| 221 | C2×C5×D4 | — | 4 | 1 | no | — |
| 222 | C2×C5×D4 | — | 4 | 2 | no | — |
| 223 | C2×C5×D4 | C24 | 1 | 2 | yes | — |
| 224 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 225 | C2×C22⋊D5 | — | 4 | 4 | no | — |
| 226 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 227 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 228 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 229 | #713 | — | 2 | 4 | no | — |
| 230 | #713 | — | 2 | 4 | no | — |
| 231 | #713 | — | 4 | 2 | no | — |
| 232 | #713 | C2×D4 | 1 | 4 | yes | — |
| 233 | Q8×D5 | — | 2 | 4 | no | — |
| 234 | Q8×D5 | — | 2 | 4 | no | — |
| 235 | Q8×D5 | — | 2 | 4 | no | — |
| 236 | Q8×D5 | — | 2 | 4 | no | — |
| 237 | Q8×D5 | — | 4 | 4 | no | — |
| 238 | Q8×D5 | — | 4 | 2 | no | — |
| 239 | Q8×D5 | C2×D4 | 1 | 4 | yes | — |
| 240 | #711 | — | 2 | 4 | no | — |
| 241 | #711 | — | 2 | 4 | no | — |
| 242 | #711 | — | 2 | 4 | no | — |
| 243 | #711 | — | 4 | 4 | no | — |
| 244 | #711 | — | 4 | 4 | no | — |
| 245 | #711 | — | 4 | 4 | no | — |
| 246 | #711 | — | 4 | 2 | no | — |
| 247 | #711 | C2×D4 | 1 | 4 | yes | — |
| 248 | D4×D5 | — | 2 | 4 | no | — |
| 249 | D4×D5 | — | 2 | 4 | no | — |
| 250 | D4×D5 | — | 2 | 4 | no | — |
| 251 | D4×D5 | — | 2 | 4 | no | — |
| 252 | D4×D5 | — | 2 | 4 | no | — |
| 253 | D4×D5 | — | 4 | 4 | no | — |
| 254 | D4×D5 | — | 4 | 4 | no | — |
| 255 | D4×D5 | — | 4 | 4 | no | — |
| 256 | D4×D5 | — | 4 | 4 | no | — |
| 257 | D4×D5 | — | 4 | 2 | no | — |
| 258 | D4×D5 | — | 8 | 4 | no | — |
| 259 | D4×D5 | C2×D4 | 1 | 4 | yes | — |
| 260 | #709 | — | 2 | 4 | no | — |
| 261 | #709 | — | 2 | 4 | no | — |
| 262 | #709 | — | 2 | 4 | no | — |
| 263 | #709 | — | 4 | 4 | no | — |
| 264 | #709 | — | 4 | 4 | no | — |
| 265 | #709 | — | 4 | 4 | no | — |
| 266 | #709 | — | 4 | 2 | no | — |
| 267 | #709 | C24 | 1 | 4 | yes | — |
| 268 | C2×D20 | — | 2 | 4 | no | — |
| 269 | C2×D20 | — | 4 | 2 | no | — |
| 270 | C2×D20 | — | 4 | 1 | no | — |
| 271 | C2×D20 | C24 | 1 | 2 | yes | — |
| 272 | C2×C4×D5 | — | 2 | 1 | no | — |
| 273 | C2×C4×D5 | — | 2 | 4 | no | — |
| 274 | C2×C4×D5 | — | 2 | 2 | no | — |
| 275 | C2×C4×D5 | — | 4 | 2 | no | — |
| 276 | C2×C4×D5 | — | 4 | 4 | no | — |
| 277 | C2×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 278 | C2×Dic10 | — | 2 | 4 | no | — |
| 279 | C2×Dic10 | — | 2 | 2 | no | — |
| 280 | C2×Dic10 | — | 4 | 4 | no | — |
| 281 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 282 | C5×Q16 | — | 2 | 4 | no | — |
| 283 | C5×Q16 | C2×D4 | 1 | 2 | yes | complemented |
| 284 | C5×SD16 | — | 2 | 4 | no | — |
| 285 | C5×SD16 | — | 2 | 4 | no | — |
| 286 | C5×SD16 | — | 2 | 4 | no | — |
| 287 | C5×SD16 | — | 2 | 4 | no | — |
| 288 | C5×SD16 | C2×D4 | 1 | 4 | yes | complemented |
| 289 | C5×D8 | — | 2 | 4 | no | — |
| 290 | C5×D8 | C2×D4 | 1 | 2 | yes | complemented |
| 291 | C5×M16 | — | 2 | 4 | no | — |
| 292 | C5×M16 | C24 | 1 | 4 | yes | — |
| 293 | C2×C5×C8 | — | 2 | 4 | no | — |
| 294 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 295 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 296 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 297 | #689 | — | 2 | 4 | no | — |
| 298 | #689 | — | 2 | 4 | no | — |
| 299 | #689 | C2×D4 | 1 | 4 | yes | complemented |
| 300 | #688 | — | 2 | 4 | no | — |
| 301 | #688 | — | 2 | 4 | no | — |
| 302 | #688 | — | 2 | 4 | no | — |
| 303 | #688 | — | 2 | 4 | no | — |
| 304 | #688 | C2×D4 | 1 | 4 | yes | complemented |
| 305 | #687 | — | 2 | 4 | no | — |
| 306 | #687 | — | 2 | 4 | no | — |
| 307 | #687 | — | 2 | 4 | no | — |
| 308 | #687 | — | 2 | 4 | no | — |
| 309 | #687 | C2×D4 | 1 | 4 | yes | complemented |
| 310 | #686 | — | 2 | 4 | no | — |
| 311 | #686 | — | 2 | 4 | no | — |
| 312 | #686 | C2×D4 | 1 | 4 | yes | complemented |
| 313 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 314 | #683 | — | 4 | 2 | no | — |
| 315 | C4×Dic5 | — | 2 | 1 | no | — |
| 316 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 317 | #681 | — | 2 | 4 | no | — |
| 318 | #681 | C24 | 1 | 4 | yes | — |
| 319 | C2×#168 | — | 2 | 4 | no | — |
| 320 | C2×#168 | C24 | 1 | 2 | yes | — |
| 321 | Dic20 | — | 2 | 4 | no | — |
| 322 | Dic20 | C2×D4 | 1 | 2 | yes | complemented |
| 323 | D40 | — | 2 | 4 | no | — |
| 324 | D40 | C2×D4 | 1 | 2 | yes | complemented |
| 325 | #677 | — | 2 | 4 | no | — |
| 326 | #677 | — | 2 | 4 | no | — |
| 327 | #677 | — | 2 | 4 | no | — |
| 328 | #677 | — | 2 | 4 | no | — |
| 329 | #677 | C2×D4 | 1 | 4 | yes | complemented |
| 330 | #676 | — | 2 | 4 | no | — |
| 331 | #676 | — | 2 | 4 | no | — |
| 332 | #676 | — | 2 | 4 | no | — |
| 333 | C8×D5 | — | 2 | 4 | no | — |
| 334 | C8×D5 | — | 2 | 4 | no | — |
| 335 | C8×D5 | — | 2 | 4 | no | — |
| 336 | C8×D5 | C2×D4 | 1 | 2 | yes | — |
| 337 | C8×D5 | C2×D4 | 1 | 2 | yes | — |
| 338 | C8×D5 | C2×D4 | 1 | 2 | yes | — |
| 339 | C8×D5 | C2×D4 | 1 | 2 | yes | — |
| 340 | C2×2−1+4 | — | 5 | 2 | no | — |
| 341 | C2×H(5,𝔽2) | — | 5 | 2 | no | — |
| 342 | #577 | — | 5 | 4 | no | — |
| 343 | #577 | — | 5 | 4 | no | — |
| 344 | #577 | — | 5 | 4 | no | — |
| 345 | #577 | — | 5 | 4 | no | — |
| 346 | #577 | — | 5 | 4 | no | — |
| 347 | #577 | — | 5 | 4 | no | — |
| 348 | #577 | — | 5 | 4 | no | — |
| 349 | #577 | — | 10 | 4 | no | — |
| 350 | #577 | — | 10 | 4 | no | — |
| 351 | #577 | — | 10 | 4 | no | — |
| 352 | #577 | — | 10 | 4 | no | — |
| 353 | #577 | C2×D5 | 1 | 4 | yes | complemented |
| 354 | C2×#137 | — | 5 | 4 | no | — |
| 355 | C2×#137 | — | 10 | 4 | no | — |
| 356 | C2×AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 357 | C2×AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 358 | C2×#135 | — | 5 | 2 | no | — |
| 359 | C2×#135 | — | 10 | 4 | no | — |
| 360 | C22×SD16 | — | 5 | 4 | no | — |
| 361 | C22×SD16 | — | 10 | 4 | no | — |
| 362 | C2×#131 | — | 5 | 4 | no | — |
| 363 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 364 | C2×#127 | — | 5 | 1 | no | — |
| 365 | #492 | — | 5 | 4 | no | — |
| 366 | #492 | — | 5 | 1 | no | — |
| 367 | #492 | — | 5 | 1 | no | — |
| 368 | #492 | — | 5 | 1 | no | — |
| 369 | #492 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 370 | #471 | — | 5 | 4 | no | — |
| 371 | #471 | — | 5 | 4 | no | — |
| 372 | #471 | — | 5 | 4 | no | — |
| 373 | #471 | — | 5 | 4 | no | — |
| 374 | #471 | — | 5 | 4 | no | — |
| 375 | #471 | — | 5 | 4 | no | — |
| 376 | #471 | — | 5 | 4 | no | — |
| 377 | #471 | C2×D5 | 1 | 4 | yes | complemented |
| 378 | #456 | — | 5 | 2 | no | — |
| 379 | #456 | — | 5 | 4 | no | — |
| 380 | #456 | — | 5 | 2 | no | — |
| 381 | #456 | — | 5 | 4 | no | — |
| 382 | #456 | — | 5 | 2 | no | — |
| 383 | #456 | C2×D5 | 1 | 2 | yes | complemented |
| 384 | #453 | — | 5 | 2 | no | — |
| 385 | #453 | — | 5 | 4 | no | — |
| 386 | #453 | — | 5 | 2 | no | — |
| 387 | #453 | — | 5 | 4 | no | — |
| 388 | #453 | — | 5 | 2 | no | — |
| 389 | #453 | C2×D5 | 1 | 2 | yes | complemented |
| 390 | #443 | — | 5 | 2 | no | — |
| 391 | #443 | — | 5 | 4 | no | — |
| 392 | #443 | — | 5 | 2 | no | — |
| 393 | #443 | — | 5 | 4 | no | — |
| 394 | #443 | — | 5 | 2 | no | — |
| 395 | #443 | C2×D5 | 1 | 2 | yes | complemented |
| 396 | C2×#108 | — | 5 | 2 | no | — |
| 397 | C2×#104 | — | 5 | 4 | no | — |
| 398 | C2×#101 | — | 5 | 2 | no | — |
| 399 | C2×#100 | — | 5 | 2 | no | — |
| 400 | C2×C4×C8 | — | 5 | 1 | no | — |
| 401 | C23×C5 | — | 2 | 2 | no | — |
| 402 | C23×C5 | — | 4 | 2 | no | — |
| 403 | C22×D5 | — | 2 | 4 | no | — |
| 404 | C22×D5 | — | 2 | 2 | no | — |
| 405 | C22×D5 | — | 4 | 2 | no | — |
| 406 | C22×D5 | — | 4 | 4 | no | — |
| 407 | C22×D5 | — | 4 | 2 | no | — |
| 408 | C22×D5 | — | 4 | 2 | no | — |
| 409 | C22×D5 | — | 8 | 4 | no | — |
| 410 | C22×D5 | — | 16 | 4 | no | — |
| 411 | C22×D5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 412 | C5×Q8 | — | 2 | 4 | no | — |
| 413 | C5×Q8 | — | 4 | 2 | no | — |
| 414 | C5×Q8 | C22×D4 | 1 | 4 | yes | — |
| 415 | C5×D4 | — | 2 | 4 | no | — |
| 416 | C5×D4 | — | 2 | 4 | no | — |
| 417 | C5×D4 | — | 4 | 4 | no | — |
| 418 | C5×D4 | — | 4 | 2 | no | — |
| 419 | C5×D4 | — | 8 | 2 | no | — |
| 420 | C5×D4 | C22×D4 | 1 | 4 | yes | — |
| 421 | C2×C4×C5 | — | 2 | 1 | no | — |
| 422 | C2×C4×C5 | — | 2 | 4 | no | — |
| 423 | C2×C4×C5 | — | 2 | 2 | no | — |
| 424 | C2×C4×C5 | — | 4 | 2 | no | — |
| 425 | C2×C4×C5 | — | 4 | 4 | no | — |
| 426 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 427 | C22⋊D5 | — | 2 | 4 | no | — |
| 428 | C22⋊D5 | — | 2 | 4 | no | — |
| 429 | C22⋊D5 | — | 2 | 4 | no | — |
| 430 | C22⋊D5 | — | 4 | 4 | no | — |
| 431 | C22⋊D5 | — | 4 | 4 | no | — |
| 432 | C22⋊D5 | — | 4 | 4 | no | — |
| 433 | C22⋊D5 | — | 4 | 4 | no | — |
| 434 | C22⋊D5 | — | 8 | 4 | no | — |
| 435 | C2×Dic5 | — | 2 | 1 | no | — |
| 436 | C2×Dic5 | — | 2 | 4 | no | — |
| 437 | C2×Dic5 | — | 2 | 2 | no | — |
| 438 | C2×Dic5 | — | 4 | 2 | no | — |
| 439 | C2×Dic5 | — | 4 | 4 | no | — |
| 440 | C2×Dic5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 441 | D20 | — | 2 | 4 | no | — |
| 442 | D20 | — | 2 | 4 | no | — |
| 443 | D20 | — | 4 | 4 | no | — |
| 444 | D20 | — | 4 | 2 | no | — |
| 445 | D20 | — | 8 | 2 | no | — |
| 446 | D20 | C22×D4 | 1 | 4 | yes | — |
| 447 | C4×D5 | — | 2 | 4 | no | — |
| 448 | C4×D5 | — | 2 | 4 | no | — |
| 449 | C4×D5 | — | 2 | 4 | no | — |
| 450 | C4×D5 | — | 2 | 4 | no | — |
| 451 | C4×D5 | — | 4 | 4 | no | — |
| 452 | C4×D5 | — | 4 | 4 | no | — |
| 453 | C4×D5 | — | 4 | 4 | no | — |
| 454 | C4×D5 | — | 4 | 2 | no | — |
| 455 | C4×D5 | — | 4 | 2 | no | — |
| 456 | C4×D5 | C22×D4 | 1 | 2 | yes | — |
| 457 | C4×D5 | C22×D4 | 1 | 2 | yes | — |
| 458 | Dic10 | — | 2 | 4 | no | — |
| 459 | Dic10 | — | 2 | 4 | no | — |
| 460 | Dic10 | — | 4 | 2 | no | — |
| 461 | Dic10 | — | 4 | 4 | no | — |
| 462 | Dic10 | — | 4 | 4 | no | — |
| 463 | Dic10 | C22×D4 | 1 | 4 | yes | — |
| 464 | C5×C8 | — | 2 | 4 | no | — |
| 465 | C5×C8 | C22×D4 | 1 | 2 | yes | — |
| 466 | C5×C8 | C22×D4 | 1 | 2 | yes | — |
| 467 | #168 | — | 2 | 4 | no | — |
| 468 | #168 | C22×D4 | 1 | 2 | yes | — |
| 469 | #168 | C22×D4 | 1 | 2 | yes | — |
| 470 | 2−1+4 | — | 5 | 4 | no | — |
| 471 | 2−1+4 | — | 5 | 2 | no | — |
| 472 | 2−1+4 | — | 10 | 4 | no | — |
| 473 | 2−1+4 | — | 10 | 4 | no | — |
| 474 | 2−1+4 | — | 20 | 2 | no | — |
| 475 | 2−1+4 | C22×D5 | 1 | 2 | yes | — |
| 476 | H(5,𝔽2) | — | 5 | 4 | no | — |
| 477 | H(5,𝔽2) | — | 5 | 2 | no | — |
| 478 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 479 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 480 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 481 | H(5,𝔽2) | C22×D5 | 1 | 2 | yes | complemented |
| 482 | C2×#41 | — | 5 | 4 | no | — |
| 483 | C2×#41 | — | 10 | 4 | no | — |
| 484 | C2×#41 | — | 10 | 4 | no | — |
| 485 | C2×#41 | — | 20 | 2 | no | — |
| 486 | C22×Q8 | — | 5 | 2 | no | — |
| 487 | C22×Q8 | — | 10 | 4 | no | — |
| 488 | C22×D4 | — | 5 | 2 | no | — |
| 489 | C22×D4 | — | 10 | 4 | no | — |
| 490 | C22×D4 | — | 20 | 1 | no | — |
| 491 | C22×D4 | — | 20 | 2 | no | — |
| 492 | #137 | — | 2 | 4 | no | — |
| 493 | #137 | — | 5 | 4 | no | — |
| 494 | #137 | — | 5 | 4 | no | — |
| 495 | #137 | — | 5 | 4 | no | — |
| 496 | #137 | — | 10 | 4 | no | — |
| 497 | #137 | — | 10 | 4 | no | — |
| 498 | #137 | — | 10 | 4 | no | — |
| 499 | #137 | — | 10 | 4 | no | — |
| 500 | #137 | — | 10 | 4 | no | — |
| 501 | #137 | — | 10 | 4 | no | — |
| 502 | #137 | — | 10 | 4 | no | — |
| 503 | #137 | — | 10 | 4 | no | — |
| 504 | #137 | — | 10 | 4 | no | — |
| 505 | #137 | C22×D5 | 1 | 4 | yes | complemented |
| 506 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 507 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 508 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 509 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 510 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 511 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 512 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 513 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 514 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 515 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 516 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 517 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 518 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 519 | AGL(1,ℤ/8) | C22×D5 | 1 | 4 | yes | — |
| 520 | #135 | — | 2 | 4 | no | — |
| 521 | #135 | — | 5 | 4 | no | — |
| 522 | #135 | — | 5 | 2 | no | — |
| 523 | #135 | — | 5 | 4 | no | — |
| 524 | #135 | — | 5 | 2 | no | — |
| 525 | #135 | — | 5 | 2 | no | — |
| 526 | #135 | — | 10 | 4 | no | — |
| 527 | #135 | — | 10 | 4 | no | — |
| 528 | #135 | — | 10 | 4 | no | — |
| 529 | #135 | — | 10 | 4 | no | — |
| 530 | #135 | — | 10 | 4 | no | — |
| 531 | #135 | — | 10 | 4 | no | — |
| 532 | #135 | — | 10 | 4 | no | — |
| 533 | #135 | C22×D5 | 1 | 2 | yes | — |
| 534 | C2×Q16 | — | 5 | 2 | no | — |
| 535 | C2×Q16 | — | 10 | 4 | no | — |
| 536 | C2×SD16 | — | 2 | 4 | no | — |
| 537 | C2×SD16 | — | 5 | 4 | no | — |
| 538 | C2×SD16 | — | 5 | 4 | no | — |
| 539 | C2×SD16 | — | 5 | 4 | no | — |
| 540 | C2×SD16 | — | 5 | 4 | no | — |
| 541 | C2×SD16 | — | 10 | 4 | no | — |
| 542 | C2×SD16 | — | 10 | 4 | no | — |
| 543 | C2×SD16 | — | 10 | 4 | no | — |
| 544 | C2×SD16 | — | 10 | 4 | no | — |
| 545 | C2×SD16 | — | 10 | 4 | no | — |
| 546 | C2×SD16 | — | 10 | 4 | no | — |
| 547 | C2×SD16 | — | 10 | 4 | no | — |
| 548 | C2×SD16 | — | 10 | 4 | no | — |
| 549 | C2×SD16 | — | 10 | 4 | no | — |
| 550 | C2×SD16 | — | 10 | 4 | no | — |
| 551 | C2×SD16 | — | 10 | 4 | no | — |
| 552 | C2×SD16 | — | 10 | 4 | no | — |
| 553 | C2×SD16 | — | 10 | 4 | no | — |
| 554 | C2×SD16 | C22×D5 | 1 | 4 | yes | complemented |
| 555 | C2×D8 | — | 5 | 2 | no | — |
| 556 | C2×D8 | — | 10 | 4 | no | — |
| 557 | #131 | — | 5 | 4 | no | — |
| 558 | #131 | — | 5 | 4 | no | — |
| 559 | #131 | — | 5 | 4 | no | — |
| 560 | #131 | — | 10 | 4 | no | — |
| 561 | #131 | — | 10 | 4 | no | — |
| 562 | #131 | C22×D5 | 1 | 4 | yes | complemented |
| 563 | C2×M16 | — | 5 | 4 | no | — |
| 564 | C2×M16 | — | 10 | 4 | no | — |
| 565 | C22×C8 | — | 5 | 2 | no | — |
| 566 | C22×C8 | — | 10 | 4 | no | — |
| 567 | C4⋊Q8 | — | 5 | 2 | no | — |
| 568 | C4⋊Q8 | — | 5 | 1 | no | — |
| 569 | C4⋊Q8 | — | 20 | 1 | no | — |
| 570 | C4⋊Q8 | C22×D5 | 1 | 1 | yes | characteristic, complemented |
| 571 | #127 | — | 5 | 2 | no | — |
| 572 | #127 | — | 5 | 1 | no | — |
| 573 | #127 | — | 20 | 1 | no | — |
| 574 | #127 | C22×D5 | 1 | 1 | yes | characteristic |
| 575 | C2×C4⋊C4 | — | 20 | 1 | no | — |
| 576 | C2×C42 | — | 5 | 1 | no | — |
| 577 | #108 | — | 5 | 4 | no | — |
| 578 | #108 | — | 5 | 2 | no | — |
| 579 | #108 | C22×D5 | 1 | 2 | yes | complemented |
| 580 | #104 | — | 5 | 4 | no | — |
| 581 | #104 | — | 5 | 4 | no | — |
| 582 | #104 | — | 5 | 4 | no | — |
| 583 | #104 | C22×D5 | 1 | 4 | yes | complemented |
| 584 | #101 | — | 5 | 2 | no | — |
| 585 | #101 | — | 5 | 4 | no | — |
| 586 | #101 | C22×D5 | 1 | 2 | yes | complemented |
| 587 | #100 | — | 5 | 2 | no | — |
| 588 | #100 | — | 5 | 4 | no | — |
| 589 | #100 | C22×D5 | 1 | 2 | yes | complemented |
| 590 | C4×C8 | — | 5 | 2 | no | — |
| 591 | C4×C8 | — | 5 | 1 | no | — |
| 592 | C4×C8 | C22×D5 | 1 | 1 | yes | characteristic, complemented |
| 593 | C22×C5 | — | 2 | 4 | no | — |
| 594 | C22×C5 | — | 4 | 2 | no | — |
| 595 | C22×C5 | — | 8 | 2 | no | — |
| 596 | C22×C5 | — | 16 | 2 | no | — |
| 597 | C22×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 598 | C2×D5 | — | 2 | 2 | no | — |
| 599 | C2×D5 | — | 2 | 4 | no | — |
| 600 | C2×D5 | — | 4 | 8 | no | — |
| 601 | C2×D5 | — | 4 | 2 | no | — |
| 602 | C2×D5 | — | 8 | 4 | no | — |
| 603 | C2×D5 | — | 8 | 2 | no | — |
| 604 | C2×D5 | — | 16 | 2 | no | — |
| 605 | C2×D5 | — | 16 | 2 | no | — |
| 606 | C2×D5 | — | 16 | 4 | no | — |
| 607 | C2×D5 | D42 | 1 | 1 | yes | characteristic |
| 608 | C2×D5 | D42 | 1 | 1 | yes | characteristic |
| 609 | C4×C5 | — | 2 | 2 | no | — |
| 610 | C4×C5 | — | 2 | 4 | no | — |
| 611 | C4×C5 | — | 4 | 2 | no | — |
| 612 | C4×C5 | C23×D4 | 1 | 2 | yes | — |
| 613 | Dic5 | — | 2 | 2 | no | — |
| 614 | Dic5 | — | 2 | 4 | no | — |
| 615 | Dic5 | — | 4 | 2 | no | — |
| 616 | Dic5 | D42 | 1 | 2 | yes | — |
| 617 | C24 | — | 10 | 2 | no | — |
| 618 | C24 | — | 20 | 2 | no | — |
| 619 | #41 | — | 2 | 4 | no | — |
| 620 | #41 | — | 2 | 4 | no | — |
| 621 | #41 | — | 4 | 2 | no | — |
| 622 | #41 | — | 5 | 4 | no | — |
| 623 | #41 | — | 5 | 4 | no | — |
| 624 | #41 | — | 5 | 4 | no | — |
| 625 | #41 | — | 10 | 4 | no | — |
| 626 | #41 | — | 10 | 4 | no | — |
| 627 | #41 | — | 10 | 4 | no | — |
| 628 | #41 | — | 10 | 4 | no | — |
| 629 | #41 | — | 10 | 4 | no | — |
| 630 | #41 | — | 10 | 4 | no | — |
| 631 | #41 | — | 10 | 4 | no | — |
| 632 | #41 | — | 10 | 4 | no | — |
| 633 | #41 | — | 20 | 2 | no | — |
| 634 | #41 | — | 20 | 4 | no | — |
| 635 | #41 | — | 20 | 4 | no | — |
| 636 | #41 | — | 20 | 4 | no | — |
| 637 | #41 | — | 20 | 4 | no | — |
| 638 | #41 | — | 20 | 4 | no | — |
| 639 | #41 | — | 20 | 4 | no | — |
| 640 | #41 | — | 20 | 2 | no | — |
| 641 | #41 | — | 20 | 2 | no | — |
| 642 | #41 | C23×D5 | 1 | 4 | yes | — |
| 643 | C2×Q8 | — | 2 | 4 | no | — |
| 644 | C2×Q8 | — | 5 | 4 | no | — |
| 645 | C2×Q8 | — | 5 | 2 | no | — |
| 646 | C2×Q8 | — | 10 | 2 | no | — |
| 647 | C2×Q8 | — | 10 | 4 | no | — |
| 648 | C2×Q8 | — | 10 | 4 | no | — |
| 649 | C2×Q8 | — | 10 | 4 | no | — |
| 650 | C2×Q8 | — | 10 | 4 | no | — |
| 651 | C2×Q8 | — | 10 | 4 | no | — |
| 652 | C2×Q8 | — | 20 | 4 | no | — |
| 653 | C2×Q8 | — | 20 | 2 | no | — |
| 654 | C2×Q8 | — | 20 | 4 | no | — |
| 655 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 656 | C2×D4 | — | 2 | 4 | no | — |
| 657 | C2×D4 | — | 4 | 1 | no | — |
| 658 | C2×D4 | — | 4 | 2 | no | — |
| 659 | C2×D4 | — | 5 | 4 | no | — |
| 660 | C2×D4 | — | 5 | 2 | no | — |
| 661 | C2×D4 | — | 10 | 4 | no | — |
| 662 | C2×D4 | — | 10 | 4 | no | — |
| 663 | C2×D4 | — | 10 | 4 | no | — |
| 664 | C2×D4 | — | 10 | 2 | no | — |
| 665 | C2×D4 | — | 10 | 4 | no | — |
| 666 | C2×D4 | — | 10 | 4 | no | — |
| 667 | C2×D4 | — | 10 | 4 | no | — |
| 668 | C2×D4 | — | 20 | 1 | no | — |
| 669 | C2×D4 | — | 20 | 2 | no | — |
| 670 | C2×D4 | — | 20 | 4 | no | — |
| 671 | C2×D4 | — | 20 | 4 | no | — |
| 672 | C2×D4 | — | 20 | 4 | no | — |
| 673 | C2×D4 | — | 20 | 2 | no | — |
| 674 | C2×D4 | — | 20 | 4 | no | — |
| 675 | C2×D4 | — | 20 | 4 | no | — |
| 676 | C2×D4 | — | 20 | 2 | no | — |
| 677 | C2×D4 | — | 20 | 2 | no | — |
| 678 | C2×D4 | — | 20 | 2 | no | — |
| 679 | C2×D4 | — | 40 | 4 | no | — |
| 680 | C2×D4 | C23×D5 | 1 | 2 | yes | — |
| 681 | C22×C4 | — | 5 | 1 | no | — |
| 682 | C22×C4 | — | 10 | 4 | no | — |
| 683 | C22×C4 | — | 10 | 1 | no | — |
| 684 | C22×C4 | — | 10 | 2 | no | — |
| 685 | C22×C4 | — | 20 | 2 | no | — |
| 686 | C22×C4 | — | 20 | 4 | no | — |
| 687 | Q16 | — | 2 | 4 | no | — |
| 688 | Q16 | — | 5 | 4 | no | — |
| 689 | Q16 | — | 5 | 2 | no | — |
| 690 | Q16 | — | 10 | 4 | no | — |
| 691 | Q16 | — | 10 | 4 | no | — |
| 692 | Q16 | — | 10 | 4 | no | — |
| 693 | Q16 | D4×D5 | 1 | 2 | yes | complemented |
| 694 | SD16 | — | 2 | 4 | no | — |
| 695 | SD16 | — | 2 | 4 | no | — |
| 696 | SD16 | — | 2 | 4 | no | — |
| 697 | SD16 | — | 2 | 4 | no | — |
| 698 | SD16 | — | 5 | 4 | no | — |
| 699 | SD16 | — | 5 | 4 | no | — |
| 700 | SD16 | — | 5 | 4 | no | — |
| 701 | SD16 | — | 10 | 4 | no | — |
| 702 | SD16 | — | 10 | 4 | no | — |
| 703 | SD16 | — | 10 | 4 | no | — |
| 704 | SD16 | — | 10 | 4 | no | — |
| 705 | SD16 | — | 10 | 4 | no | — |
| 706 | SD16 | — | 10 | 4 | no | — |
| 707 | SD16 | — | 10 | 4 | no | — |
| 708 | SD16 | — | 10 | 4 | no | — |
| 709 | SD16 | — | 10 | 4 | no | — |
| 710 | SD16 | — | 10 | 4 | no | — |
| 711 | SD16 | — | 10 | 4 | no | — |
| 712 | SD16 | — | 10 | 4 | no | — |
| 713 | SD16 | D4×D5 | 1 | 4 | yes | complemented |
| 714 | D8 | — | 2 | 4 | no | — |
| 715 | D8 | — | 5 | 4 | no | — |
| 716 | D8 | — | 5 | 2 | no | — |
| 717 | D8 | — | 10 | 4 | no | — |
| 718 | D8 | — | 10 | 4 | no | — |
| 719 | D8 | — | 10 | 4 | no | — |
| 720 | D8 | D4×D5 | 1 | 2 | yes | complemented |
| 721 | M16 | — | 2 | 4 | no | — |
| 722 | M16 | — | 5 | 4 | no | — |
| 723 | M16 | — | 10 | 4 | no | — |
| 724 | M16 | — | 10 | 4 | no | — |
| 725 | M16 | — | 10 | 4 | no | — |
| 726 | M16 | — | 10 | 4 | no | — |
| 727 | M16 | C23×D5 | 1 | 4 | yes | — |
| 728 | C2×C8 | — | 2 | 4 | no | — |
| 729 | C2×C8 | — | 5 | 2 | no | — |
| 730 | C2×C8 | — | 5 | 2 | no | — |
| 731 | C2×C8 | — | 5 | 2 | no | — |
| 732 | C2×C8 | — | 5 | 2 | no | — |
| 733 | C2×C8 | — | 5 | 2 | no | — |
| 734 | C2×C8 | — | 10 | 4 | no | — |
| 735 | C2×C8 | — | 10 | 4 | no | — |
| 736 | C2×C8 | — | 10 | 4 | no | — |
| 737 | C2×C8 | — | 10 | 4 | no | — |
| 738 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 739 | C4⋊C4 | — | 4 | 1 | no | — |
| 740 | C4⋊C4 | — | 20 | 2 | no | — |
| 741 | C4⋊C4 | — | 20 | 1 | no | — |
| 742 | C42 | — | 5 | 1 | no | — |
| 743 | C42 | — | 10 | 1 | no | — |
| 744 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 745 | C2×C5 | — | 2 | 1 | no | — |
| 746 | C2×C5 | — | 4 | 4 | no | — |
| 747 | C2×C5 | — | 8 | 2 | no | — |
| 748 | C2×C5 | C2×D42 | 1 | 1 | yes | characteristic |
| 749 | D5 | — | 2 | 1 | no | — |
| 750 | D5 | — | 4 | 4 | no | — |
| 751 | D5 | — | 8 | 2 | no | — |
| 752 | D5 | #3291 | 1 | 2 | yes | direct product factor |
| 753 | C23 | — | 2 | 2 | no | — |
| 754 | C23 | — | 4 | 2 | no | — |
| 755 | C23 | — | 5 | 1 | no | — |
| 756 | C23 | — | 10 | 4 | no | — |
| 757 | C23 | — | 10 | 2 | no | — |
| 758 | C23 | — | 20 | 4 | no | — |
| 759 | C23 | — | 20 | 2 | no | — |
| 760 | C23 | — | 20 | 2 | no | — |
| 761 | C23 | — | 20 | 2 | no | — |
| 762 | C23 | — | 40 | 4 | no | — |
| 763 | C23 | — | 80 | 4 | no | — |
| 764 | Q8 | — | 2 | 4 | no | — |
| 765 | Q8 | — | 4 | 2 | no | — |
| 766 | Q8 | — | 5 | 4 | no | — |
| 767 | Q8 | — | 10 | 4 | no | — |
| 768 | Q8 | — | 10 | 4 | no | — |
| 769 | Q8 | — | 20 | 4 | no | — |
| 770 | Q8 | — | 20 | 4 | no | — |
| 771 | Q8 | — | 20 | 2 | no | — |
| 772 | Q8 | C2×D4×D5 | 1 | 4 | yes | — |
| 773 | D4 | — | 2 | 4 | no | — |
| 774 | D4 | — | 2 | 4 | no | — |
| 775 | D4 | — | 4 | 4 | no | — |
| 776 | D4 | — | 4 | 2 | no | — |
| 777 | D4 | — | 5 | 4 | no | — |
| 778 | D4 | — | 8 | 2 | no | — |
| 779 | D4 | — | 10 | 4 | no | — |
| 780 | D4 | — | 10 | 4 | no | — |
| 781 | D4 | — | 10 | 4 | no | — |
| 782 | D4 | — | 10 | 4 | no | — |
| 783 | D4 | — | 10 | 4 | no | — |
| 784 | D4 | — | 20 | 4 | no | — |
| 785 | D4 | — | 20 | 2 | no | — |
| 786 | D4 | — | 20 | 4 | no | — |
| 787 | D4 | — | 20 | 4 | no | — |
| 788 | D4 | — | 20 | 4 | no | — |
| 789 | D4 | — | 20 | 4 | no | — |
| 790 | D4 | — | 40 | 2 | no | — |
| 791 | D4 | — | 40 | 4 | no | — |
| 792 | D4 | C2×D4×D5 | 1 | 4 | yes | — |
| 793 | C2×C4 | — | 2 | 1 | no | — |
| 794 | C2×C4 | — | 2 | 4 | no | — |
| 795 | C2×C4 | — | 2 | 2 | no | — |
| 796 | C2×C4 | — | 4 | 2 | no | — |
| 797 | C2×C4 | — | 4 | 4 | no | — |
| 798 | C2×C4 | — | 5 | 1 | no | — |
| 799 | C2×C4 | — | 5 | 2 | no | — |
| 800 | C2×C4 | — | 5 | 2 | no | — |
| 801 | C2×C4 | — | 10 | 4 | no | — |
| 802 | C2×C4 | — | 10 | 4 | no | — |
| 803 | C2×C4 | — | 10 | 4 | no | — |
| 804 | C2×C4 | — | 10 | 4 | no | — |
| 805 | C2×C4 | — | 10 | 1 | no | — |
| 806 | C2×C4 | — | 10 | 4 | no | — |
| 807 | C2×C4 | — | 10 | 2 | no | — |
| 808 | C2×C4 | — | 20 | 4 | no | — |
| 809 | C2×C4 | — | 20 | 4 | no | — |
| 810 | C2×C4 | — | 20 | 4 | no | — |
| 811 | C2×C4 | — | 20 | 2 | no | — |
| 812 | C2×C4 | — | 20 | 2 | no | — |
| 813 | C2×C4 | — | 20 | 2 | no | — |
| 814 | C2×C4 | — | 20 | 4 | no | — |
| 815 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 816 | C8 | — | 2 | 4 | no | — |
| 817 | C8 | — | 5 | 2 | no | — |
| 818 | C8 | — | 5 | 2 | no | — |
| 819 | C8 | — | 10 | 4 | no | — |
| 820 | C8 | C2×D4×D5 | 1 | 2 | yes | — |
| 821 | C8 | C2×D4×D5 | 1 | 2 | yes | — |
| 822 | C5 | C2×#3291 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 823 | C22 | — | 2 | 4 | no | — |
| 824 | C22 | — | 4 | 2 | no | — |
| 825 | C22 | — | 5 | 1 | no | — |
| 826 | C22 | — | 5 | 1 | no | — |
| 827 | C22 | — | 8 | 2 | no | — |
| 828 | C22 | — | 10 | 2 | no | — |
| 829 | C22 | — | 10 | 4 | no | — |
| 830 | C22 | — | 16 | 2 | no | — |
| 831 | C22 | — | 20 | 8 | no | — |
| 832 | C22 | — | 20 | 2 | no | — |
| 833 | C22 | — | 40 | 2 | no | — |
| 834 | C22 | — | 40 | 4 | no | — |
| 835 | C22 | — | 80 | 4 | no | — |
| 836 | C22 | — | 80 | 2 | no | — |
| 837 | C22 | — | 80 | 2 | no | — |
| 838 | C22 | D5×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 839 | C4 | — | 2 | 2 | no | — |
| 840 | C4 | — | 2 | 4 | no | — |
| 841 | C4 | — | 4 | 2 | no | — |
| 842 | C4 | — | 5 | 2 | no | — |
| 843 | C4 | — | 10 | 2 | no | — |
| 844 | C4 | — | 10 | 4 | no | — |
| 845 | C4 | — | 20 | 2 | no | — |
| 846 | C4 | C22×D4×D5 | 1 | 2 | yes | — |
| 847 | C2 | — | 2 | 1 | no | — |
| 848 | C2 | — | 4 | 4 | no | — |
| 849 | C2 | — | 5 | 2 | no | — |
| 850 | C2 | — | 8 | 2 | no | — |
| 851 | C2 | — | 10 | 1 | no | — |
| 852 | C2 | — | 20 | 4 | no | — |
| 853 | C2 | — | 40 | 2 | no | — |
| 854 | C2 | D42×D5 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | D42×D5 |
| commutator, cosocle | C2×C4×C5 | C25 |
| Frattini | C2×C4 | C24×D5 |
| Fitting | C5×#3291 | C2 |
| socle | C2×C5 | C2×D42 |
| hypercenter | #3291 | D5 |
| hypocenter | C5 | C2×#3291 |
| LCS | G ▷ C2×C4×C5 ▷ C2×C5 ▷ C5 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ #3291 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D5×#577 | C2 | semidirect |
| 2. C5×#3291 | C2 | semidirect |
| 3. #10615745 | C2 | semidirect |
| 4. #10613505 | C2 | semidirect |
| 5. D5×#492 | C2 | semidirect |
| 6. #10612666 | C2 | semidirect |
| 7. D5×#471 | C2 | semidirect |
| 8. #10612033 | C2 | semidirect |
| 9. D5×#456 | C2 | semidirect |
| 10. #10612012 | C2 | semidirect |
| 11. D5×#453 | C2 | semidirect |
| 12. #10611624 | C2 | semidirect |
| 13. D5×#443 | C2 | semidirect |
| 15. D5×H(5,𝔽2) | C22 | semidirect |
| 16. C5×#577 | C22 | semidirect |
| 17. #66171 | C22 | semidirect |
| 18. #66170 | C22 | semidirect |
| 20. #66112 | C22 | semidirect |
| 22. D5×#137 | C22 | semidirect |
| 24. #66109 | C22 | semidirect |
| 28. #66104 | C22 | semidirect |
| 32. #66096 | C22 | semidirect |
| 34. C2×D5×SD16 | C22 | semidirect |
| 35. #66085 | C22 | semidirect |
| 36. D5×#131 | C22 | semidirect |
| 37. D5×C4⋊Q8 | C22 | semidirect |
| 39. C5×#492 | C22 | semidirect |
| 40. C5×#471 | C22 | semidirect |
| 41. C5×#456 | C22 | semidirect |
| 42. C5×#453 | C22 | semidirect |
| 43. C5×#443 | C22 | semidirect |
| 44. #65535 | C22 | semidirect |
| 45. #65530 | C22 | semidirect |
| 46. #65494 | C22 | semidirect |
| 47. #65492 | C22 | semidirect |
| 48. #65489 | C22 | semidirect |
| 49. #65487 | C22 | semidirect |
| 50. #65485 | C22 | semidirect |
| 51. #65466 | C22 | semidirect |
| 52. #65464 | C22 | semidirect |
| 53. #65433 | C22 | semidirect |
| 54. #65430 | C22 | semidirect |
| 55. #65384 | C22 | semidirect |
| 56. #65374 | C22 | semidirect |
| 57. #65366 | C22 | semidirect |
| 58. #65365 | C22 | semidirect |
| 59. #65187 | C22 | semidirect |
| 60. #65184 | C22 | semidirect |
| 61. D5×#108 | C22 | semidirect |
| 62. #65115 | C22 | semidirect |
| 63. #65113 | C22 | semidirect |
| 64. #65111 | C22 | semidirect |
| 65. D5×#104 | C22 | semidirect |
| 66. #65043 | C22 | semidirect |
| 67. #65041 | C22 | semidirect |
| 68. D5×#101 | C22 | semidirect |
| 69. #65037 | C22 | semidirect |
| 70. #65036 | C22 | semidirect |
| 71. D5×#100 | C22 | semidirect |
| 72. #64989 | C22 | semidirect |
| 73. #64982 | C22 | semidirect |
| 74. C4×C8×D5 | C22 | semidirect |
| 77. C5×H(5,𝔽2) | C23 | semidirect |
| 82. #4149 | C23 | semidirect |
| 93. #4144 | C23 | semidirect |
| 99. C5×#137 | C23 | semidirect |
| 105. C2×C5×SD16 | C23 | semidirect |
| 106. C5×#131 | C23 | semidirect |
| 107. C5×C4⋊Q8 | C23 | semidirect |
| 110. #4097 | C23 | semidirect |
| 116. #4094 | C23 | semidirect |
| 117. #4090 | C23 | semidirect |
| 119. #4088 | C23 | semidirect |
| 121. C2×#688 | C23 | semidirect |
| 125. C2×#687 | C23 | semidirect |
| 129. #4065 | D4 | semidirect |
| 134. D5×Q16 | D4 | semidirect |
| 137. #4062 | D4 | semidirect |
| 154. D5×SD16 | D4 | semidirect |
| 156. #4058 | D4 | semidirect |
| 161. D5×D8 | D4 | semidirect |
| 163. #4055 | C23 | semidirect |
| 167. #4053 | C23 | semidirect |
| 173. C2×#677 | C23 | semidirect |
| 175. #4047 | C23 | semidirect |
| 182. #4015 | C23 | semidirect |
| 183. C5×#108 | C23 | semidirect |
| 184. C5×#104 | C23 | semidirect |
| 185. C5×#101 | C23 | semidirect |
| 186. C5×#100 | C23 | semidirect |
| 187. C4×C5×C8 | C23 | semidirect |
| 188. #3969 | C23 | semidirect |
| 189. #3968 | C23 | semidirect |
| 190. #3965 | C23 | semidirect |
| 191. #3957 | C23 | semidirect |
| 192. #3956 | C23 | semidirect |
| 193. #3955 | C23 | semidirect |
| 194. #3954 | C23 | semidirect |
| 195. #3951 | C23 | semidirect |
| 196. C8×Dic5 | C23 | semidirect |
| 197. #3937 | C23 | semidirect |
| 198. C4×#168 | C23 | semidirect |
| 206. #3291 | D5 | direct (N × H) |
| 283. C5×Q16 | C2×D4 | semidirect |
| 288. C5×SD16 | C2×D4 | semidirect |
| 290. C5×D8 | C2×D4 | semidirect |
| 299. #689 | C2×D4 | semidirect |
| 304. #688 | C2×D4 | semidirect |
| 309. #687 | C2×D4 | semidirect |
| 312. #686 | C2×D4 | semidirect |
| 322. Dic20 | C2×D4 | semidirect |
| 324. D40 | C2×D4 | semidirect |
| 329. #677 | C2×D4 | semidirect |
| 353. #577 | C2×D5 | semidirect |
| 369. #492 | C2×D5 | semidirect |
| 377. #471 | C2×D5 | semidirect |
| 383. #456 | C2×D5 | semidirect |
| 389. #453 | C2×D5 | semidirect |
| 395. #443 | C2×D5 | semidirect |
| 481. H(5,𝔽2) | C22×D5 | semidirect |
| 505. #137 | C22×D5 | semidirect |
| 554. C2×SD16 | C22×D5 | semidirect |
| 562. #131 | C22×D5 | semidirect |
| 570. C4⋊Q8 | C22×D5 | semidirect |
| 579. #108 | C22×D5 | semidirect |
| 583. #104 | C22×D5 | semidirect |
| 586. #101 | C22×D5 | semidirect |
| 589. #100 | C22×D5 | semidirect |
| 592. C4×C8 | C22×D5 | semidirect |
| 693. Q16 | D4×D5 | semidirect |
| 713. SD16 | D4×D5 | semidirect |
| 720. D8 | D4×D5 | semidirect |
| 752. D5 | #3291 | direct (N × H) |
| 822. C5 | C2×#3291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#577 | 2 |
| C5×#3291 | 2 |
| #10615745 | 2 |
| #10613505 | 2 |
| D5×#492 | 2 |
| #10612666 | 2 |
| D5×#471 | 2 |
| #10612033 | 2 |
| D5×#456 | 2 |
| #10612012 | 2 |
| D5×#453 | 2 |
| #10611624 | 2 |
| D5×#443 | 2 |
| C2×#3291 | 5 |