Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2684 conjugacy classes of subgroups.
The subgroup lattice has 748 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10619101 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10619068 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C5×#2956 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10615545 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10611631 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #10611625 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10611624 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10610992 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10610717 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×#65111 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10610272 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10610261 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #66283 | C22 | 1 | 2 | yes | complemented |
| 14 | C2×#4149 | C22 | 1 | 2 | yes | complemented |
| 15 | C5×#575 | C22 | 1 | 1 | yes | characteristic |
| 16 | C5×#568 | C22 | 1 | 2 | yes | complemented |
| 17 | #66156 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#4095 | C22 | 1 | 2 | yes | complemented |
| 19 | #66112 | — | 2 | 4 | no | — |
| 20 | #66111 | — | 2 | 4 | no | — |
| 21 | #66108 | — | 2 | 4 | no | — |
| 22 | D5×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 23 | #66104 | C22 | 1 | 8 | yes | complemented |
| 24 | #66103 | C22 | 1 | 8 | yes | complemented |
| 25 | #66086 | — | 2 | 4 | no | — |
| 26 | #66086 | C22 | 1 | 8 | yes | complemented |
| 27 | #66085 | — | 2 | 4 | no | — |
| 28 | #66085 | C22 | 1 | 8 | yes | complemented |
| 29 | #66082 | — | 2 | 4 | no | — |
| 30 | #66082 | C22 | 1 | 1 | yes | characteristic |
| 31 | #66082 | C22 | 1 | 2 | yes | complemented |
| 32 | C2×#4054 | — | 2 | 4 | no | — |
| 33 | C2×#4054 | C22 | 1 | 2 | yes | complemented |
| 34 | C2×#4054 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#4054 | C22 | 1 | 2 | yes | complemented |
| 36 | #66079 | C22 | 1 | 2 | yes | complemented |
| 37 | #65811 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×#4020 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C5×#444 | C22 | 1 | 4 | yes | complemented |
| 40 | C5×#443 | C22 | 1 | 4 | yes | complemented |
| 41 | C5×#430 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×C5×#104 | C22 | 1 | 2 | yes | complemented |
| 43 | C4×C5×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #65431 | C22 | 1 | 8 | yes | complemented |
| 45 | #65430 | C22 | 1 | 8 | yes | complemented |
| 46 | #65421 | C22 | 1 | 2 | yes | complemented |
| 47 | C2×#3955 | C22 | 1 | 2 | yes | complemented |
| 48 | #65414 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#3937 | C22 | 1 | 2 | yes | complemented |
| 50 | #65187 | C22 | 1 | 8 | yes | complemented |
| 51 | #65186 | C22 | 1 | 8 | yes | complemented |
| 52 | #65116 | C22 | 1 | 4 | yes | complemented |
| 53 | #65115 | C22 | 1 | 4 | yes | complemented |
| 54 | #65114 | C22 | 1 | 4 | yes | complemented |
| 55 | #65111 | C22 | 1 | 4 | yes | complemented |
| 56 | #65111 | C22 | 1 | 8 | yes | complemented |
| 57 | #65111 | C22 | 1 | 8 | yes | complemented |
| 58 | #65006 | C22 | 1 | 4 | yes | complemented |
| 59 | #65001 | C22 | 1 | 4 | yes | complemented |
| 60 | #64989 | C22 | 1 | 4 | yes | complemented |
| 61 | #64984 | C22 | 1 | 2 | yes | complemented |
| 62 | #64982 | C22 | 1 | 2 | yes | complemented |
| 63 | #61110 | — | 5 | 1 | no | maximal, Sylow |
| 64 | C2×C5×#41 | C23 | 1 | 2 | yes | — |
| 65 | #4150 | — | 2 | 2 | no | — |
| 66 | #4150 | C23 | 1 | 4 | yes | — |
| 67 | #4149 | — | 2 | 4 | no | — |
| 68 | #4149 | — | 2 | 2 | no | — |
| 69 | #4149 | — | 2 | 4 | no | — |
| 70 | #4149 | — | 4 | 2 | no | — |
| 71 | #4149 | C23 | 1 | 4 | yes | — |
| 72 | #4149 | C23 | 1 | 8 | yes | complemented |
| 73 | D5×#41 | — | 2 | 4 | no | — |
| 74 | D5×#41 | — | 4 | 2 | no | — |
| 75 | #4147 | — | 2 | 2 | no | — |
| 76 | C2×#713 | — | 2 | 2 | no | — |
| 77 | #4144 | — | 2 | 2 | no | — |
| 78 | #4144 | — | 4 | 2 | no | — |
| 79 | C2×D4×D5 | — | 2 | 2 | no | — |
| 80 | C2×D4×D5 | — | 4 | 2 | no | — |
| 81 | C2×#709 | — | 2 | 4 | no | — |
| 82 | C2×#709 | — | 2 | 2 | no | — |
| 83 | C2×#709 | C23 | 1 | 2 | yes | — |
| 84 | C2×#709 | C23 | 1 | 2 | yes | — |
| 85 | C22×D20 | — | 2 | 2 | no | — |
| 86 | C22×D20 | — | 4 | 1 | no | — |
| 87 | C22×D20 | C23 | 1 | 2 | yes | — |
| 88 | C5×#137 | D4 | 1 | 4 | yes | complemented |
| 89 | C5×AGL(1,ℤ/8) | D4 | 1 | 4 | yes | complemented |
| 90 | C5×#135 | C23 | 1 | 4 | yes | — |
| 91 | C5×#131 | — | 2 | 4 | no | — |
| 92 | C5×#131 | C23 | 1 | 8 | yes | complemented |
| 93 | C2×C5×M16 | — | 2 | 4 | no | — |
| 94 | C2×C5×M16 | C23 | 1 | 2 | yes | — |
| 95 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 98 | #4097 | C23 | 1 | 4 | yes | complemented |
| 99 | #4096 | — | 2 | 4 | no | — |
| 100 | #4095 | — | 2 | 4 | no | — |
| 101 | #4095 | C23 | 1 | 8 | yes | — |
| 102 | #4095 | C23 | 1 | 4 | yes | complemented |
| 103 | #4088 | — | 2 | 2 | no | — |
| 104 | C2×#688 | — | 2 | 2 | no | — |
| 105 | #4078 | — | 2 | 2 | no | — |
| 106 | C2×#686 | — | 2 | 2 | no | — |
| 107 | #4076 | — | 4 | 1 | no | — |
| 108 | C2×#681 | C23 | 1 | 2 | yes | — |
| 109 | #4065 | — | 2 | 8 | no | — |
| 110 | #4064 | — | 2 | 8 | no | — |
| 111 | #4062 | — | 2 | 8 | no | — |
| 112 | #4060 | — | 2 | 8 | no | — |
| 113 | #4060 | — | 2 | 8 | no | — |
| 114 | D5×SD16 | — | 2 | 8 | no | — |
| 115 | #4057 | — | 2 | 8 | no | — |
| 116 | D5×D8 | — | 2 | 8 | no | — |
| 117 | #4055 | — | 2 | 2 | no | — |
| 118 | #4055 | — | 2 | 8 | no | — |
| 119 | #4055 | D4 | 1 | 4 | yes | complemented |
| 120 | #4055 | C23 | 1 | 4 | yes | complemented |
| 121 | #4054 | — | 2 | 4 | no | — |
| 122 | #4054 | — | 2 | 2 | no | — |
| 123 | #4054 | — | 2 | 4 | no | — |
| 124 | #4054 | — | 2 | 4 | no | — |
| 125 | #4054 | — | 2 | 4 | no | — |
| 126 | #4054 | — | 2 | 4 | no | — |
| 127 | #4054 | — | 2 | 8 | no | — |
| 128 | #4054 | — | 2 | 8 | no | — |
| 129 | #4054 | — | 2 | 8 | no | — |
| 130 | #4054 | D4 | 1 | 4 | yes | complemented |
| 131 | #4054 | C23 | 1 | 8 | yes | — |
| 132 | #4054 | C23 | 1 | 4 | yes | complemented |
| 133 | #4053 | — | 2 | 4 | no | — |
| 134 | D5×M16 | — | 2 | 4 | no | — |
| 135 | #4050 | — | 2 | 4 | no | — |
| 136 | #4050 | — | 2 | 8 | no | — |
| 137 | #4050 | — | 2 | 8 | no | — |
| 138 | #4050 | C23 | 1 | 4 | yes | — |
| 139 | C2×D40 | — | 2 | 2 | no | — |
| 140 | C2×D40 | — | 2 | 8 | no | — |
| 141 | C2×D40 | C23 | 1 | 4 | yes | complemented |
| 142 | C2×D40 | C23 | 1 | 4 | yes | complemented |
| 143 | C2×#677 | — | 2 | 2 | no | — |
| 144 | C2×#677 | — | 2 | 8 | no | — |
| 145 | C2×#677 | C23 | 1 | 4 | yes | complemented |
| 146 | C2×#677 | C23 | 1 | 4 | yes | complemented |
| 147 | #4047 | C23 | 1 | 8 | yes | complemented |
| 148 | #4021 | C23 | 1 | 2 | yes | complemented |
| 149 | #4020 | — | 4 | 1 | no | — |
| 150 | #4020 | C23 | 1 | 2 | yes | — |
| 151 | #4020 | C23 | 1 | 2 | yes | — |
| 152 | #4020 | C23 | 1 | 1 | yes | characteristic, complemented |
| 153 | C4×D20 | — | 4 | 1 | no | — |
| 154 | #4015 | C23 | 1 | 1 | yes | characteristic, complemented |
| 155 | C5×#108 | C23 | 1 | 4 | yes | complemented |
| 156 | C5×#104 | C23 | 1 | 4 | yes | complemented |
| 157 | C5×#104 | C23 | 1 | 4 | yes | complemented |
| 158 | C5×#97 | C23 | 1 | 2 | yes | complemented |
| 159 | C4×C5×C8 | C23 | 1 | 2 | yes | complemented |
| 160 | #3956 | C23 | 1 | 4 | yes | complemented |
| 161 | #3955 | C23 | 1 | 8 | yes | complemented |
| 162 | #3955 | C23 | 1 | 4 | yes | complemented |
| 163 | #3951 | C23 | 1 | 4 | yes | complemented |
| 164 | #3937 | C23 | 1 | 4 | yes | complemented |
| 165 | #3937 | C23 | 1 | 4 | yes | complemented |
| 166 | #3585 | — | 5 | 2 | no | — |
| 167 | #3585 | — | 5 | 2 | no | — |
| 168 | #3292 | — | 5 | 4 | no | — |
| 169 | #3291 | — | 5 | 4 | no | — |
| 170 | #3288 | — | 5 | 8 | no | — |
| 171 | #3151 | — | 5 | 1 | no | — |
| 172 | #3068 | — | 5 | 2 | no | — |
| 173 | #3068 | — | 5 | 2 | no | — |
| 174 | #3018 | — | 5 | 2 | no | — |
| 175 | C2×#453 | — | 5 | 2 | no | — |
| 176 | #2956 | — | 5 | 1 | no | — |
| 177 | #2956 | D5 | 1 | 1 | yes | characteristic, complemented |
| 178 | C23×D5 | — | 2 | 2 | no | — |
| 179 | C23×D5 | — | 4 | 2 | no | — |
| 180 | C5×#41 | — | 2 | 2 | no | — |
| 181 | C5×#41 | — | 2 | 2 | no | — |
| 182 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 183 | C5×#41 | C24 | 1 | 4 | yes | — |
| 184 | C2×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 185 | C2×C5×D4 | — | 2 | 2 | no | — |
| 186 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 187 | C22×C4×C5 | — | 2 | 2 | no | — |
| 188 | C22×C4×C5 | — | 2 | 1 | no | — |
| 189 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 190 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 191 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 192 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 193 | C2×C22⋊D5 | — | 4 | 4 | no | — |
| 194 | #713 | — | 2 | 8 | no | — |
| 195 | #713 | — | 2 | 4 | no | — |
| 196 | #713 | — | 4 | 4 | no | — |
| 197 | #713 | — | 4 | 2 | no | — |
| 198 | Q8×D5 | — | 2 | 4 | no | — |
| 199 | Q8×D5 | — | 4 | 2 | no | — |
| 200 | #711 | — | 2 | 4 | no | — |
| 201 | #711 | — | 4 | 2 | no | — |
| 202 | #711 | — | 4 | 4 | no | — |
| 203 | #711 | — | 4 | 4 | no | — |
| 204 | D4×D5 | — | 2 | 8 | no | — |
| 205 | D4×D5 | — | 2 | 4 | no | — |
| 206 | D4×D5 | — | 4 | 4 | no | — |
| 207 | D4×D5 | — | 4 | 2 | no | — |
| 208 | D4×D5 | — | 4 | 8 | no | — |
| 209 | D4×D5 | — | 4 | 4 | no | — |
| 210 | D4×D5 | — | 4 | 8 | no | — |
| 211 | D4×D5 | — | 4 | 4 | no | — |
| 212 | #709 | — | 2 | 2 | no | — |
| 213 | #709 | — | 2 | 2 | no | — |
| 214 | #709 | — | 2 | 2 | no | — |
| 215 | #709 | — | 2 | 2 | no | — |
| 216 | #709 | — | 2 | 2 | no | — |
| 217 | #709 | — | 2 | 2 | no | — |
| 218 | #709 | — | 2 | 4 | no | — |
| 219 | #709 | — | 2 | 8 | no | — |
| 220 | #709 | — | 2 | 4 | no | — |
| 221 | #709 | — | 4 | 4 | no | — |
| 222 | #709 | — | 4 | 4 | no | — |
| 223 | #709 | — | 4 | 4 | no | — |
| 224 | #709 | C2×D4 | 1 | 4 | yes | — |
| 225 | #709 | C24 | 1 | 4 | yes | — |
| 226 | C2×D20 | — | 2 | 2 | no | — |
| 227 | C2×D20 | — | 2 | 2 | no | — |
| 228 | C2×D20 | — | 2 | 2 | no | — |
| 229 | C2×D20 | — | 2 | 2 | no | — |
| 230 | C2×D20 | — | 2 | 8 | no | — |
| 231 | C2×D20 | — | 2 | 4 | no | — |
| 232 | C2×D20 | — | 2 | 2 | no | — |
| 233 | C2×D20 | — | 4 | 4 | no | — |
| 234 | C2×D20 | — | 4 | 2 | no | — |
| 235 | C2×D20 | — | 4 | 2 | no | — |
| 236 | C2×D20 | — | 4 | 2 | no | — |
| 237 | C2×D20 | — | 4 | 1 | no | — |
| 238 | C2×D20 | — | 8 | 4 | no | — |
| 239 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 240 | C2×D20 | C24 | 1 | 4 | yes | — |
| 241 | C2×D20 | C24 | 1 | 2 | yes | — |
| 242 | C2×C4×D5 | — | 2 | 2 | no | — |
| 243 | C2×C4×D5 | — | 2 | 2 | no | — |
| 244 | C2×C4×D5 | — | 4 | 4 | no | — |
| 245 | C2×C4×D5 | — | 4 | 2 | no | — |
| 246 | C2×Dic10 | — | 2 | 4 | no | — |
| 247 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 248 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 249 | C5×Q16 | C2×D4 | 1 | 4 | yes | complemented |
| 250 | C5×SD16 | C2×D4 | 1 | 8 | yes | complemented |
| 251 | C5×D8 | C2×D4 | 1 | 4 | yes | complemented |
| 252 | C5×M16 | — | 2 | 2 | no | — |
| 253 | C5×M16 | — | 2 | 8 | no | — |
| 254 | C5×M16 | C2×D4 | 1 | 4 | yes | — |
| 255 | C5×M16 | C2×D4 | 1 | 4 | yes | — |
| 256 | C5×M16 | C24 | 1 | 4 | yes | — |
| 257 | C2×C5×C8 | — | 2 | 2 | no | — |
| 258 | C2×C5×C8 | — | 2 | 8 | no | — |
| 259 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 260 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 261 | C42×C5 | — | 2 | 1 | no | — |
| 262 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 263 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 264 | #689 | — | 2 | 4 | no | — |
| 265 | #688 | — | 2 | 4 | no | — |
| 266 | #688 | — | 2 | 8 | no | — |
| 267 | #687 | — | 2 | 4 | no | — |
| 268 | #686 | — | 2 | 4 | no | — |
| 269 | #686 | — | 2 | 8 | no | — |
| 270 | #685 | — | 4 | 2 | no | — |
| 271 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 272 | #681 | — | 2 | 2 | no | — |
| 273 | #681 | C24 | 1 | 4 | yes | — |
| 274 | C2×#168 | — | 2 | 2 | no | — |
| 275 | Dic20 | — | 2 | 4 | no | — |
| 276 | Dic20 | C2×D4 | 1 | 4 | yes | complemented |
| 277 | D40 | — | 2 | 8 | no | — |
| 278 | D40 | — | 2 | 4 | no | — |
| 279 | D40 | — | 2 | 8 | no | — |
| 280 | D40 | — | 2 | 8 | no | — |
| 281 | D40 | C2×D4 | 1 | 4 | yes | complemented |
| 282 | #677 | — | 2 | 4 | no | — |
| 283 | #677 | — | 2 | 8 | no | — |
| 284 | #677 | — | 2 | 4 | no | — |
| 285 | #677 | — | 2 | 8 | no | — |
| 286 | #677 | — | 2 | 8 | no | — |
| 287 | #677 | C2×D4 | 1 | 8 | yes | complemented |
| 288 | #676 | — | 2 | 8 | no | — |
| 289 | C8×D5 | — | 2 | 8 | no | — |
| 290 | #585 | — | 5 | 2 | no | — |
| 291 | C2×H(5,𝔽2) | — | 5 | 2 | no | — |
| 292 | #577 | — | 5 | 8 | no | — |
| 293 | #577 | — | 5 | 8 | no | — |
| 294 | #577 | — | 10 | 4 | no | — |
| 295 | #577 | — | 10 | 4 | no | — |
| 296 | #576 | — | 5 | 8 | no | — |
| 297 | #576 | — | 5 | 8 | no | — |
| 298 | #576 | — | 10 | 4 | no | — |
| 299 | #576 | — | 10 | 4 | no | — |
| 300 | #575 | — | 5 | 2 | no | — |
| 301 | #575 | — | 5 | 1 | no | — |
| 302 | #575 | — | 5 | 2 | no | — |
| 303 | #575 | — | 10 | 4 | no | — |
| 304 | #575 | — | 10 | 4 | no | — |
| 305 | #575 | C2×D5 | 1 | 1 | yes | characteristic |
| 306 | C2×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 307 | C2×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 308 | C2×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 309 | C2×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 310 | C2×AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 311 | C2×AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 312 | #568 | — | 5 | 2 | no | — |
| 313 | #568 | C2×D5 | 1 | 2 | yes | complemented |
| 314 | #532 | — | 5 | 1 | no | — |
| 315 | C2×#127 | — | 5 | 1 | no | — |
| 316 | #496 | — | 5 | 4 | no | — |
| 317 | #493 | — | 5 | 2 | no | — |
| 318 | #492 | — | 5 | 2 | no | — |
| 319 | #472 | — | 5 | 8 | no | — |
| 320 | #472 | — | 5 | 8 | no | — |
| 321 | #471 | — | 5 | 8 | no | — |
| 322 | #471 | — | 5 | 8 | no | — |
| 323 | #456 | — | 5 | 4 | no | — |
| 324 | #455 | — | 5 | 4 | no | — |
| 325 | #454 | — | 5 | 4 | no | — |
| 326 | #453 | — | 5 | 8 | no | — |
| 327 | #453 | — | 5 | 8 | no | — |
| 328 | #453 | — | 5 | 4 | no | — |
| 329 | #444 | — | 5 | 4 | no | — |
| 330 | #444 | C2×D5 | 1 | 4 | yes | complemented |
| 331 | #443 | — | 5 | 4 | no | — |
| 332 | #443 | C2×D5 | 1 | 4 | yes | complemented |
| 333 | #430 | — | 5 | 1 | no | — |
| 334 | #430 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 335 | C2×#104 | — | 5 | 2 | no | — |
| 336 | C2×#104 | C2×D5 | 1 | 2 | yes | complemented |
| 337 | #413 | — | 5 | 2 | no | — |
| 338 | C2×#100 | — | 5 | 2 | no | — |
| 339 | C4×M16 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 340 | C23×C5 | — | 2 | 2 | no | — |
| 341 | C23×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 342 | C22×D5 | — | 2 | 2 | no | — |
| 343 | C22×D5 | — | 2 | 2 | no | — |
| 344 | C22×D5 | — | 2 | 4 | no | — |
| 345 | C22×D5 | — | 4 | 4 | no | — |
| 346 | C22×D5 | — | 4 | 8 | no | — |
| 347 | C22×D5 | — | 4 | 2 | no | — |
| 348 | C22×D5 | — | 4 | 2 | no | — |
| 349 | C22×D5 | — | 8 | 4 | no | — |
| 350 | C22×D5 | — | 16 | 4 | no | — |
| 351 | C5×Q8 | — | 2 | 2 | no | — |
| 352 | C5×Q8 | C22×D4 | 1 | 4 | yes | — |
| 353 | C5×D4 | — | 2 | 4 | no | — |
| 354 | C5×D4 | — | 2 | 4 | no | — |
| 355 | C5×D4 | — | 2 | 2 | no | — |
| 356 | C5×D4 | C22×D4 | 1 | 4 | yes | — |
| 357 | C2×C4×C5 | — | 2 | 2 | no | — |
| 358 | C2×C4×C5 | — | 2 | 1 | no | — |
| 359 | C2×C4×C5 | — | 2 | 4 | no | — |
| 360 | C2×C4×C5 | — | 2 | 4 | no | — |
| 361 | C2×C4×C5 | — | 2 | 1 | no | — |
| 362 | C2×C4×C5 | — | 4 | 2 | no | — |
| 363 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 364 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 365 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 366 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 367 | C22⋊D5 | — | 2 | 4 | no | — |
| 368 | C22⋊D5 | — | 2 | 4 | no | — |
| 369 | C22⋊D5 | — | 4 | 8 | no | — |
| 370 | C22⋊D5 | — | 4 | 4 | no | — |
| 371 | C22⋊D5 | — | 4 | 4 | no | — |
| 372 | C22⋊D5 | — | 4 | 2 | no | — |
| 373 | C22⋊D5 | — | 4 | 2 | no | — |
| 374 | C2×Dic5 | — | 2 | 2 | no | — |
| 375 | C2×Dic5 | — | 2 | 2 | no | — |
| 376 | C2×Dic5 | — | 4 | 4 | no | — |
| 377 | D20 | — | 2 | 2 | no | — |
| 378 | D20 | — | 2 | 4 | no | — |
| 379 | D20 | — | 2 | 2 | no | — |
| 380 | D20 | — | 2 | 4 | no | — |
| 381 | D20 | — | 2 | 2 | no | — |
| 382 | D20 | — | 4 | 8 | no | — |
| 383 | D20 | — | 4 | 4 | no | — |
| 384 | D20 | — | 4 | 2 | no | — |
| 385 | D20 | — | 4 | 2 | no | — |
| 386 | D20 | — | 8 | 2 | no | — |
| 387 | D20 | — | 8 | 4 | no | — |
| 388 | D20 | — | 8 | 4 | no | — |
| 389 | D20 | C22×D4 | 1 | 4 | yes | — |
| 390 | C4×D5 | — | 2 | 4 | no | — |
| 391 | C4×D5 | — | 2 | 4 | no | — |
| 392 | C4×D5 | — | 4 | 8 | no | — |
| 393 | C4×D5 | — | 4 | 4 | no | — |
| 394 | C4×D5 | — | 4 | 4 | no | — |
| 395 | C4×D5 | — | 4 | 2 | no | — |
| 396 | C4×D5 | — | 4 | 2 | no | — |
| 397 | Dic10 | — | 2 | 2 | no | — |
| 398 | Dic10 | — | 2 | 2 | no | — |
| 399 | Dic10 | — | 2 | 2 | no | — |
| 400 | Dic10 | — | 4 | 4 | no | — |
| 401 | Dic10 | C22×D4 | 1 | 4 | yes | — |
| 402 | C5×C8 | — | 2 | 4 | no | — |
| 403 | C5×C8 | C22×D4 | 1 | 4 | yes | — |
| 404 | C5×C8 | C22×D4 | 1 | 4 | yes | — |
| 405 | #168 | — | 2 | 4 | no | — |
| 406 | 2−1+4 | — | 5 | 4 | no | — |
| 407 | 2−1+4 | — | 10 | 2 | no | — |
| 408 | 2−1+4 | — | 10 | 2 | no | — |
| 409 | H(5,𝔽2) | — | 5 | 4 | no | — |
| 410 | H(5,𝔽2) | — | 5 | 8 | no | — |
| 411 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 412 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 413 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 414 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 415 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 416 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 417 | C2×#41 | — | 5 | 2 | no | — |
| 418 | C2×#41 | — | 5 | 2 | no | — |
| 419 | C2×#41 | — | 10 | 2 | no | — |
| 420 | C2×#41 | — | 10 | 4 | no | — |
| 421 | C2×#41 | — | 10 | 4 | no | — |
| 422 | C2×#41 | — | 10 | 2 | no | — |
| 423 | C2×#41 | — | 20 | 2 | no | — |
| 424 | C2×#41 | C22×D5 | 1 | 2 | yes | — |
| 425 | C22×D4 | — | 5 | 2 | no | — |
| 426 | C22×D4 | — | 10 | 2 | no | — |
| 427 | C22×D4 | — | 10 | 2 | no | — |
| 428 | C22×D4 | — | 20 | 1 | no | — |
| 429 | C22×D4 | — | 20 | 2 | no | — |
| 430 | #137 | — | 5 | 4 | no | — |
| 431 | #137 | — | 5 | 4 | no | — |
| 432 | #137 | — | 5 | 4 | no | — |
| 433 | #137 | — | 10 | 8 | no | — |
| 434 | #137 | — | 10 | 2 | no | — |
| 435 | #137 | — | 10 | 2 | no | — |
| 436 | #137 | — | 10 | 8 | no | — |
| 437 | #137 | D20 | 1 | 4 | yes | complemented |
| 438 | AGL(1,ℤ/8) | — | 5 | 8 | no | — |
| 439 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 440 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 441 | AGL(1,ℤ/8) | — | 5 | 8 | no | — |
| 442 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 443 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 444 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 445 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 446 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 447 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 448 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 449 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 450 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 451 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 452 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 453 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 454 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 455 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 456 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 457 | AGL(1,ℤ/8) | D20 | 1 | 4 | yes | complemented |
| 458 | #135 | — | 5 | 4 | no | — |
| 459 | #135 | — | 10 | 8 | no | — |
| 460 | #135 | — | 10 | 8 | no | — |
| 461 | #135 | — | 10 | 4 | no | — |
| 462 | #135 | — | 10 | 4 | no | — |
| 463 | #135 | — | 10 | 8 | no | — |
| 464 | #135 | — | 10 | 8 | no | — |
| 465 | #135 | C22×D5 | 1 | 4 | yes | — |
| 466 | C2×SD16 | — | 5 | 4 | no | — |
| 467 | C2×SD16 | — | 5 | 4 | no | — |
| 468 | C2×SD16 | — | 10 | 8 | no | — |
| 469 | C2×SD16 | — | 10 | 2 | no | — |
| 470 | C2×SD16 | — | 10 | 2 | no | — |
| 471 | C2×SD16 | — | 10 | 8 | no | — |
| 472 | C2×D8 | — | 5 | 4 | no | — |
| 473 | C2×D8 | — | 5 | 4 | no | — |
| 474 | C2×D8 | — | 10 | 8 | no | — |
| 475 | C2×D8 | — | 10 | 2 | no | — |
| 476 | C2×D8 | — | 10 | 2 | no | — |
| 477 | C2×D8 | — | 10 | 8 | no | — |
| 478 | #131 | — | 2 | 4 | no | — |
| 479 | #131 | — | 5 | 8 | no | — |
| 480 | #131 | — | 10 | 4 | no | — |
| 481 | #131 | C22×D5 | 1 | 8 | yes | complemented |
| 482 | C2×M16 | — | 2 | 4 | no | — |
| 483 | C2×M16 | — | 5 | 2 | no | — |
| 484 | C2×M16 | — | 10 | 4 | no | — |
| 485 | C2×M16 | C22×D5 | 1 | 2 | yes | — |
| 486 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 487 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 488 | C4⋊Q8 | — | 5 | 1 | no | — |
| 489 | #127 | — | 5 | 2 | no | — |
| 490 | #127 | — | 5 | 2 | no | — |
| 491 | #127 | — | 5 | 1 | no | — |
| 492 | #127 | — | 20 | 1 | no | — |
| 493 | #124 | — | 5 | 2 | no | — |
| 494 | #121 | — | 20 | 1 | no | — |
| 495 | C4×D4 | — | 20 | 1 | no | — |
| 496 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 497 | #108 | — | 5 | 4 | no | — |
| 498 | #108 | C22×D5 | 1 | 4 | yes | complemented |
| 499 | #104 | — | 5 | 4 | no | — |
| 500 | #104 | — | 5 | 4 | no | — |
| 501 | #104 | C22×D5 | 1 | 4 | yes | complemented |
| 502 | #104 | C22×D5 | 1 | 4 | yes | complemented |
| 503 | #101 | — | 5 | 4 | no | — |
| 504 | #100 | — | 5 | 8 | no | — |
| 505 | #100 | — | 5 | 4 | no | — |
| 506 | #97 | C22×D5 | 1 | 2 | yes | complemented |
| 507 | C4×C8 | C22×D5 | 1 | 2 | yes | complemented |
| 508 | C22×C5 | — | 2 | 4 | no | — |
| 509 | C22×C5 | — | 4 | 1 | no | — |
| 510 | C22×C5 | — | 8 | 2 | no | — |
| 511 | C22×C5 | D42 | 1 | 2 | yes | — |
| 512 | C22×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 513 | C2×D5 | — | 2 | 4 | no | — |
| 514 | C2×D5 | — | 4 | 2 | no | — |
| 515 | C2×D5 | — | 4 | 4 | no | — |
| 516 | C2×D5 | — | 8 | 2 | no | — |
| 517 | C2×D5 | — | 8 | 4 | no | — |
| 518 | C2×D5 | — | 8 | 4 | no | — |
| 519 | C2×D5 | — | 8 | 2 | no | — |
| 520 | C2×D5 | — | 16 | 4 | no | — |
| 521 | C2×D5 | — | 16 | 8 | no | — |
| 522 | C2×D5 | — | 16 | 2 | no | — |
| 523 | C4×C5 | — | 2 | 2 | no | — |
| 524 | C4×C5 | — | 2 | 4 | no | — |
| 525 | C4×C5 | — | 4 | 1 | no | — |
| 526 | C4×C5 | D42 | 1 | 2 | yes | — |
| 527 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 528 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 529 | Dic5 | — | 2 | 4 | no | — |
| 530 | Dic5 | — | 4 | 2 | no | — |
| 531 | C24 | — | 10 | 2 | no | — |
| 532 | C24 | — | 20 | 2 | no | — |
| 533 | #41 | — | 2 | 2 | no | — |
| 534 | #41 | — | 2 | 2 | no | — |
| 535 | #41 | — | 5 | 4 | no | — |
| 536 | #41 | — | 5 | 4 | no | — |
| 537 | #41 | — | 10 | 4 | no | — |
| 538 | #41 | — | 10 | 4 | no | — |
| 539 | #41 | — | 10 | 8 | no | — |
| 540 | #41 | — | 10 | 2 | no | — |
| 541 | #41 | — | 10 | 2 | no | — |
| 542 | #41 | — | 10 | 4 | no | — |
| 543 | #41 | — | 10 | 8 | no | — |
| 544 | #41 | — | 10 | 4 | no | — |
| 545 | #41 | — | 10 | 2 | no | — |
| 546 | #41 | — | 10 | 2 | no | — |
| 547 | #41 | — | 10 | 2 | no | — |
| 548 | #41 | — | 10 | 2 | no | — |
| 549 | #41 | — | 20 | 4 | no | — |
| 550 | #41 | — | 20 | 4 | no | — |
| 551 | #41 | — | 20 | 4 | no | — |
| 552 | #41 | — | 20 | 4 | no | — |
| 553 | #41 | — | 20 | 4 | no | — |
| 554 | #41 | — | 20 | 4 | no | — |
| 555 | #41 | — | 20 | 2 | no | — |
| 556 | #41 | — | 20 | 2 | no | — |
| 557 | #41 | C2×D20 | 1 | 4 | yes | — |
| 558 | #41 | C23×D5 | 1 | 4 | yes | — |
| 559 | C2×Q8 | — | 5 | 2 | no | — |
| 560 | C2×Q8 | — | 5 | 2 | no | — |
| 561 | C2×Q8 | — | 10 | 4 | no | — |
| 562 | C2×Q8 | — | 10 | 4 | no | — |
| 563 | C2×Q8 | — | 20 | 2 | no | — |
| 564 | C2×Q8 | C2×D20 | 1 | 2 | yes | — |
| 565 | C2×D4 | — | 2 | 2 | no | — |
| 566 | C2×D4 | — | 5 | 2 | no | — |
| 567 | C2×D4 | — | 5 | 2 | no | — |
| 568 | C2×D4 | — | 5 | 4 | no | — |
| 569 | C2×D4 | — | 10 | 4 | no | — |
| 570 | C2×D4 | — | 10 | 8 | no | — |
| 571 | C2×D4 | — | 10 | 2 | no | — |
| 572 | C2×D4 | — | 10 | 4 | no | — |
| 573 | C2×D4 | — | 10 | 8 | no | — |
| 574 | C2×D4 | — | 10 | 2 | no | — |
| 575 | C2×D4 | — | 10 | 2 | no | — |
| 576 | C2×D4 | — | 10 | 2 | no | — |
| 577 | C2×D4 | — | 10 | 2 | no | — |
| 578 | C2×D4 | — | 10 | 2 | no | — |
| 579 | C2×D4 | — | 10 | 2 | no | — |
| 580 | C2×D4 | — | 20 | 4 | no | — |
| 581 | C2×D4 | — | 20 | 2 | no | — |
| 582 | C2×D4 | — | 20 | 1 | no | — |
| 583 | C2×D4 | — | 20 | 2 | no | — |
| 584 | C2×D4 | — | 20 | 2 | no | — |
| 585 | C2×D4 | — | 20 | 4 | no | — |
| 586 | C2×D4 | — | 20 | 2 | no | — |
| 587 | C2×D4 | — | 20 | 8 | no | — |
| 588 | C2×D4 | — | 20 | 4 | no | — |
| 589 | C2×D4 | — | 20 | 8 | no | — |
| 590 | C2×D4 | — | 20 | 2 | no | — |
| 591 | C2×D4 | — | 20 | 4 | no | — |
| 592 | C2×D4 | — | 20 | 4 | no | — |
| 593 | C2×D4 | — | 40 | 4 | no | — |
| 594 | C2×D4 | C2×D20 | 1 | 2 | yes | — |
| 595 | C22×C4 | — | 2 | 2 | no | — |
| 596 | C22×C4 | — | 2 | 1 | no | — |
| 597 | C22×C4 | — | 10 | 2 | no | — |
| 598 | C22×C4 | — | 10 | 2 | no | — |
| 599 | C22×C4 | — | 20 | 2 | no | — |
| 600 | C22×C4 | — | 20 | 4 | no | — |
| 601 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 602 | Q16 | — | 5 | 4 | no | — |
| 603 | Q16 | — | 10 | 4 | no | — |
| 604 | Q16 | — | 10 | 4 | no | — |
| 605 | Q16 | C2×D20 | 1 | 4 | yes | complemented |
| 606 | SD16 | — | 5 | 8 | no | — |
| 607 | SD16 | — | 10 | 4 | no | — |
| 608 | SD16 | — | 10 | 8 | no | — |
| 609 | SD16 | — | 10 | 4 | no | — |
| 610 | SD16 | — | 10 | 8 | no | — |
| 611 | SD16 | — | 10 | 4 | no | — |
| 612 | SD16 | — | 10 | 4 | no | — |
| 613 | SD16 | — | 10 | 8 | no | — |
| 614 | SD16 | — | 10 | 8 | no | — |
| 615 | SD16 | C2×D20 | 1 | 8 | yes | complemented |
| 616 | D8 | — | 5 | 4 | no | — |
| 617 | D8 | — | 10 | 4 | no | — |
| 618 | D8 | — | 10 | 8 | no | — |
| 619 | D8 | — | 10 | 4 | no | — |
| 620 | D8 | — | 10 | 8 | no | — |
| 621 | D8 | — | 10 | 8 | no | — |
| 622 | D8 | — | 10 | 8 | no | — |
| 623 | D8 | C2×D20 | 1 | 4 | yes | complemented |
| 624 | M16 | — | 2 | 2 | no | — |
| 625 | M16 | — | 2 | 8 | no | — |
| 626 | M16 | — | 5 | 4 | no | — |
| 627 | M16 | — | 10 | 2 | no | — |
| 628 | M16 | — | 10 | 8 | no | — |
| 629 | M16 | C2×D20 | 1 | 4 | yes | — |
| 630 | M16 | D4×D5 | 1 | 4 | yes | — |
| 631 | M16 | C23×D5 | 1 | 4 | yes | — |
| 632 | C2×C8 | — | 2 | 2 | no | — |
| 633 | C2×C8 | — | 2 | 8 | no | — |
| 634 | C2×C8 | — | 10 | 2 | no | — |
| 635 | C2×C8 | — | 10 | 8 | no | — |
| 636 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 637 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 638 | C4⋊C4 | — | 20 | 1 | no | — |
| 639 | C22⋊C4 | — | 20 | 2 | no | — |
| 640 | C42 | — | 2 | 1 | no | — |
| 641 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 642 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 643 | C2×C5 | — | 2 | 1 | no | — |
| 644 | C2×C5 | — | 2 | 2 | no | — |
| 645 | C2×C5 | — | 4 | 4 | no | — |
| 646 | C2×C5 | C2×D42 | 1 | 1 | yes | characteristic |
| 647 | D5 | — | 4 | 4 | no | — |
| 648 | D5 | — | 8 | 4 | no | — |
| 649 | D5 | — | 8 | 2 | no | — |
| 650 | C23 | — | 2 | 2 | no | — |
| 651 | C23 | — | 10 | 2 | no | — |
| 652 | C23 | — | 10 | 2 | no | — |
| 653 | C23 | — | 10 | 4 | no | — |
| 654 | C23 | — | 20 | 4 | no | — |
| 655 | C23 | — | 20 | 8 | no | — |
| 656 | C23 | — | 20 | 2 | no | — |
| 657 | C23 | — | 20 | 2 | no | — |
| 658 | C23 | — | 40 | 4 | no | — |
| 659 | C23 | — | 80 | 4 | no | — |
| 660 | C23 | #4149 | 1 | 1 | yes | characteristic |
| 661 | Q8 | — | 2 | 2 | no | — |
| 662 | Q8 | — | 5 | 4 | no | — |
| 663 | Q8 | — | 10 | 2 | no | — |
| 664 | Q8 | — | 10 | 2 | no | — |
| 665 | Q8 | — | 10 | 2 | no | — |
| 666 | Q8 | — | 20 | 4 | no | — |
| 667 | Q8 | C22×D20 | 1 | 4 | yes | — |
| 668 | D4 | — | 2 | 4 | no | — |
| 669 | D4 | — | 2 | 4 | no | — |
| 670 | D4 | — | 2 | 2 | no | — |
| 671 | D4 | — | 5 | 4 | no | — |
| 672 | D4 | — | 10 | 4 | no | — |
| 673 | D4 | — | 10 | 4 | no | — |
| 674 | D4 | — | 10 | 2 | no | — |
| 675 | D4 | — | 10 | 2 | no | — |
| 676 | D4 | — | 10 | 4 | no | — |
| 677 | D4 | — | 10 | 2 | no | — |
| 678 | D4 | — | 10 | 4 | no | — |
| 679 | D4 | — | 20 | 8 | no | — |
| 680 | D4 | — | 20 | 4 | no | — |
| 681 | D4 | — | 20 | 8 | no | — |
| 682 | D4 | — | 20 | 4 | no | — |
| 683 | D4 | — | 20 | 4 | no | — |
| 684 | D4 | — | 20 | 2 | no | — |
| 685 | D4 | — | 20 | 2 | no | — |
| 686 | D4 | — | 20 | 2 | no | — |
| 687 | D4 | — | 20 | 2 | no | — |
| 688 | D4 | — | 40 | 4 | no | — |
| 689 | D4 | — | 40 | 2 | no | — |
| 690 | D4 | — | 40 | 4 | no | — |
| 691 | D4 | C22×D20 | 1 | 4 | yes | — |
| 692 | C2×C4 | — | 2 | 2 | no | — |
| 693 | C2×C4 | — | 2 | 1 | no | — |
| 694 | C2×C4 | — | 2 | 4 | no | — |
| 695 | C2×C4 | — | 2 | 4 | no | — |
| 696 | C2×C4 | — | 2 | 1 | no | — |
| 697 | C2×C4 | — | 4 | 2 | no | — |
| 698 | C2×C4 | — | 10 | 2 | no | — |
| 699 | C2×C4 | — | 10 | 4 | no | — |
| 700 | C2×C4 | — | 10 | 4 | no | — |
| 701 | C2×C4 | — | 10 | 2 | no | — |
| 702 | C2×C4 | — | 20 | 8 | no | — |
| 703 | C2×C4 | — | 20 | 4 | no | — |
| 704 | C2×C4 | — | 20 | 4 | no | — |
| 705 | C2×C4 | — | 20 | 4 | no | — |
| 706 | C2×C4 | — | 20 | 2 | no | — |
| 707 | C2×C4 | — | 20 | 2 | no | — |
| 708 | C2×C4 | C22×D20 | 1 | 2 | yes | — |
| 709 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 710 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 711 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 712 | C8 | — | 2 | 4 | no | — |
| 713 | C8 | — | 10 | 4 | no | — |
| 714 | C8 | C22×D20 | 1 | 4 | yes | — |
| 715 | C8 | C2×D4×D5 | 1 | 4 | yes | — |
| 716 | C5 | #61110 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 717 | C22 | — | 2 | 4 | no | — |
| 718 | C22 | — | 4 | 1 | no | — |
| 719 | C22 | — | 8 | 2 | no | — |
| 720 | C22 | — | 10 | 4 | no | — |
| 721 | C22 | — | 20 | 2 | no | — |
| 722 | C22 | — | 20 | 4 | no | — |
| 723 | C22 | — | 40 | 2 | no | — |
| 724 | C22 | — | 40 | 4 | no | — |
| 725 | C22 | — | 40 | 2 | no | — |
| 726 | C22 | — | 40 | 4 | no | — |
| 727 | C22 | — | 80 | 2 | no | — |
| 728 | C22 | — | 80 | 8 | no | — |
| 729 | C22 | — | 80 | 4 | no | — |
| 730 | C22 | D4×D20 | 1 | 2 | yes | — |
| 731 | C22 | C2×#4149 | 1 | 1 | yes | characteristic |
| 732 | C4 | — | 2 | 2 | no | — |
| 733 | C4 | — | 2 | 4 | no | — |
| 734 | C4 | — | 4 | 1 | no | — |
| 735 | C4 | — | 10 | 4 | no | — |
| 736 | C4 | — | 20 | 2 | no | — |
| 737 | C4 | D4×D20 | 1 | 2 | yes | — |
| 738 | C4 | C23×D20 | 1 | 1 | yes | characteristic |
| 739 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 740 | C2 | — | 2 | 1 | no | — |
| 741 | C2 | — | 2 | 2 | no | — |
| 742 | C2 | — | 4 | 4 | no | — |
| 743 | C2 | — | 20 | 4 | no | — |
| 744 | C2 | — | 40 | 4 | no | — |
| 745 | C2 | — | 40 | 2 | no | — |
| 746 | C2 | C2×D4×D20 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10619101 | C2 | semidirect |
| 2. #10619068 | C2 | semidirect |
| 3. C5×#2956 | C2 | semidirect |
| 4. #10615545 | C2 | semidirect |
| 5. #10611631 | C2 | semidirect |
| 6. #10611625 | C2 | semidirect |
| 7. #10611624 | C2 | semidirect |
| 8. #10610992 | C2 | semidirect |
| 9. #10610717 | C2 | semidirect |
| 10. C2×#65111 | C2 | semidirect |
| 11. #10610272 | C2 | semidirect |
| 12. #10610261 | C2 | semidirect |
| 13. #66283 | C22 | semidirect |
| 14. C2×#4149 | C22 | semidirect |
| 16. C5×#568 | C22 | semidirect |
| 17. #66156 | C22 | semidirect |
| 18. C2×#4095 | C22 | semidirect |
| 23. #66104 | C22 | semidirect |
| 24. #66103 | C22 | semidirect |
| 26. #66086 | C22 | semidirect |
| 28. #66085 | C22 | semidirect |
| 31. #66082 | C22 | semidirect |
| 33. C2×#4054 | C22 | semidirect |
| 34. C2×#4054 | C22 | semidirect |
| 35. C2×#4054 | C22 | semidirect |
| 36. #66079 | C22 | semidirect |
| 37. #65811 | C22 | semidirect |
| 38. C2×#4020 | C22 | semidirect |
| 39. C5×#444 | C22 | semidirect |
| 40. C5×#443 | C22 | semidirect |
| 41. C5×#430 | C22 | semidirect |
| 42. C2×C5×#104 | C22 | semidirect |
| 43. C4×C5×M16 | C22 | semidirect |
| 44. #65431 | C22 | semidirect |
| 45. #65430 | C22 | semidirect |
| 46. #65421 | C22 | semidirect |
| 47. C2×#3955 | C22 | semidirect |
| 48. #65414 | C22 | semidirect |
| 49. C2×#3937 | C22 | semidirect |
| 50. #65187 | C22 | semidirect |
| 51. #65186 | C22 | semidirect |
| 52. #65116 | C22 | semidirect |
| 53. #65115 | C22 | semidirect |
| 54. #65114 | C22 | semidirect |
| 55. #65111 | C22 | semidirect |
| 56. #65111 | C22 | semidirect |
| 57. #65111 | C22 | semidirect |
| 58. #65006 | C22 | semidirect |
| 59. #65001 | C22 | semidirect |
| 60. #64989 | C22 | semidirect |
| 61. #64984 | C22 | semidirect |
| 62. #64982 | C22 | semidirect |
| 72. #4149 | C23 | semidirect |
| 88. C5×#137 | D4 | semidirect |
| 89. C5×AGL(1,ℤ/8) | D4 | semidirect |
| 92. C5×#131 | C23 | semidirect |
| 98. #4097 | C23 | semidirect |
| 102. #4095 | C23 | semidirect |
| 119. #4055 | D4 | semidirect |
| 120. #4055 | C23 | semidirect |
| 130. #4054 | D4 | semidirect |
| 132. #4054 | C23 | semidirect |
| 141. C2×D40 | C23 | semidirect |
| 142. C2×D40 | C23 | semidirect |
| 145. C2×#677 | C23 | semidirect |
| 146. C2×#677 | C23 | semidirect |
| 147. #4047 | C23 | semidirect |
| 148. #4021 | C23 | semidirect |
| 152. #4020 | C23 | semidirect |
| 154. #4015 | C23 | semidirect |
| 155. C5×#108 | C23 | semidirect |
| 156. C5×#104 | C23 | semidirect |
| 157. C5×#104 | C23 | semidirect |
| 158. C5×#97 | C23 | semidirect |
| 159. C4×C5×C8 | C23 | semidirect |
| 160. #3956 | C23 | semidirect |
| 161. #3955 | C23 | semidirect |
| 162. #3955 | C23 | semidirect |
| 163. #3951 | C23 | semidirect |
| 164. #3937 | C23 | semidirect |
| 165. #3937 | C23 | semidirect |
| 177. #2956 | D5 | semidirect |
| 249. C5×Q16 | C2×D4 | semidirect |
| 250. C5×SD16 | C2×D4 | semidirect |
| 251. C5×D8 | C2×D4 | semidirect |
| 276. Dic20 | C2×D4 | semidirect |
| 281. D40 | C2×D4 | semidirect |
| 287. #677 | C2×D4 | semidirect |
| 313. #568 | C2×D5 | semidirect |
| 330. #444 | C2×D5 | semidirect |
| 332. #443 | C2×D5 | semidirect |
| 334. #430 | C2×D5 | semidirect |
| 336. C2×#104 | C2×D5 | semidirect |
| 339. C4×M16 | C2×D5 | semidirect |
| 437. #137 | D20 | semidirect |
| 457. AGL(1,ℤ/8) | D20 | semidirect |
| 481. #131 | C22×D5 | semidirect |
| 498. #108 | C22×D5 | semidirect |
| 501. #104 | C22×D5 | semidirect |
| 502. #104 | C22×D5 | semidirect |
| 506. #97 | C22×D5 | semidirect |
| 507. C4×C8 | C22×D5 | semidirect |
| 605. Q16 | C2×D20 | semidirect |
| 615. SD16 | C2×D20 | semidirect |
| 623. D8 | C2×D20 | semidirect |
| 716. C5 | #61110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10619101 | 2 |
| #10619068 | 2 |
| C5×#2956 | 2 |
| #10615545 | 2 |
| #10611631 | 2 |
| #10611625 | 2 |
| #10611624 | 2 |
| #10610992 | 2 |
| #10610717 | 2 |
| C2×#65111 | 2 |
| #10610272 | 2 |
| #10610261 | 2 |
| #61110 | 5 |