Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1066 conjugacy classes of subgroups.
The subgroup lattice has 836 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10614296 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10614294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10610944 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#65111 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#65113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10610617 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×#1859 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10601469 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10600386 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10600373 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10599799 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10599779 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10599554 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10599538 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#4149 | C22 | 1 | 1 | yes | characteristic |
| 17 | C5×#520 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#4096 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#4095 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#4094 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#4054 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#4054 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#4053 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #65859 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #65844 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#4020 | C22 | 1 | 1 | yes | characteristic |
| 27 | C5×#428 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×C5×#104 | C22 | 1 | 1 | yes | characteristic |
| 29 | C5×#417 | C22 | 1 | 1 | yes | characteristic |
| 30 | C5×#384 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#3955 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#3955 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #65418 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#3954 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #65317 | — | 2 | 1 | no | — |
| 36 | #65316 | — | 2 | 1 | no | — |
| 37 | #65305 | — | 2 | 1 | no | — |
| 38 | #65304 | — | 2 | 1 | no | — |
| 39 | #65291 | — | 2 | 1 | no | — |
| 40 | #65291 | C22 | 1 | 1 | yes | characteristic |
| 41 | #65290 | — | 2 | 1 | no | — |
| 42 | #65290 | C22 | 1 | 1 | yes | characteristic |
| 43 | #65288 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #65255 | — | 2 | 1 | no | — |
| 45 | #65255 | C22 | 1 | 1 | yes | characteristic |
| 46 | #65255 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×#3941 | — | 2 | 1 | no | — |
| 48 | C2×#3941 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#3941 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#3941 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#3941 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#3937 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#3937 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×C4×#168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #65175 | — | 2 | 1 | no | — |
| 56 | #65172 | — | 2 | 1 | no | — |
| 57 | #65154 | — | 2 | 1 | no | — |
| 58 | #65153 | — | 2 | 1 | no | — |
| 59 | #65113 | — | 2 | 4 | no | — |
| 60 | #65111 | — | 2 | 4 | no | — |
| 61 | #65100 | — | 2 | 1 | no | — |
| 62 | #65099 | — | 2 | 1 | no | — |
| 63 | #65065 | — | 2 | 1 | no | — |
| 64 | #65062 | — | 2 | 1 | no | — |
| 65 | C5×#343 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | C5×#339 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #64778 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #64750 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #25188 | — | 5 | 1 | no | maximal, Sylow |
| 70 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 71 | #4149 | — | 2 | 2 | no | — |
| 72 | #4149 | — | 2 | 2 | no | — |
| 73 | #4149 | — | 2 | 2 | no | — |
| 74 | #4149 | — | 4 | 1 | no | — |
| 75 | C2×#713 | — | 2 | 1 | no | — |
| 76 | C2×D4×D5 | — | 2 | 1 | no | — |
| 77 | C2×D4×D5 | — | 4 | 1 | no | — |
| 78 | C2×#709 | — | 2 | 1 | no | — |
| 79 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×D20 | — | 2 | 1 | no | — |
| 82 | C22×D20 | — | 4 | 1 | no | — |
| 83 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 84 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 87 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 88 | C4×C5×D4 | — | 2 | 1 | no | — |
| 89 | C4×C5×D4 | — | 4 | 1 | no | — |
| 90 | C5×#117 | — | 2 | 1 | no | — |
| 91 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 93 | C2×C5×C4⋊C4 | — | 4 | 1 | no | — |
| 94 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 97 | #4096 | — | 2 | 2 | no | — |
| 98 | #4096 | — | 2 | 2 | no | — |
| 99 | #4095 | — | 2 | 2 | no | — |
| 100 | #4095 | — | 2 | 2 | no | — |
| 101 | #4094 | — | 2 | 2 | no | — |
| 102 | #4094 | — | 4 | 1 | no | — |
| 103 | C2×#689 | D4 | 1 | 1 | yes | characteristic, complemented |
| 104 | C2×#688 | — | 2 | 1 | no | — |
| 105 | C2×#688 | D4 | 1 | 1 | yes | characteristic, complemented |
| 106 | C2×#687 | D4 | 1 | 1 | yes | characteristic, complemented |
| 107 | C2×#686 | — | 2 | 1 | no | — |
| 108 | C2×#686 | D4 | 1 | 1 | yes | characteristic, complemented |
| 109 | #4076 | — | 4 | 1 | no | — |
| 110 | C2×#681 | — | 2 | 1 | no | — |
| 111 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 113 | C22×#168 | — | 2 | 1 | no | — |
| 114 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 115 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 116 | #4054 | — | 2 | 2 | no | — |
| 117 | #4054 | — | 2 | 2 | no | — |
| 118 | #4054 | — | 4 | 1 | no | — |
| 119 | #4054 | — | 4 | 1 | no | — |
| 120 | #4053 | — | 2 | 2 | no | — |
| 121 | #4053 | — | 4 | 1 | no | — |
| 122 | C2×D40 | — | 2 | 1 | no | — |
| 123 | C2×D40 | — | 2 | 1 | no | — |
| 124 | C2×#677 | — | 2 | 1 | no | — |
| 125 | C2×#677 | — | 2 | 1 | no | — |
| 126 | C2×#676 | — | 2 | 1 | no | — |
| 127 | C2×C8×D5 | — | 2 | 1 | no | — |
| 128 | #4043 | — | 2 | 1 | no | — |
| 129 | #4043 | — | 2 | 1 | no | — |
| 130 | #4041 | — | 2 | 1 | no | — |
| 131 | #4041 | — | 2 | 1 | no | — |
| 132 | #4041 | — | 2 | 1 | no | — |
| 133 | #4041 | — | 2 | 1 | no | — |
| 134 | #4028 | — | 4 | 1 | no | — |
| 135 | #4021 | — | 2 | 1 | no | — |
| 136 | #4020 | — | 2 | 1 | no | — |
| 137 | #4020 | — | 2 | 2 | no | — |
| 138 | #4020 | — | 2 | 2 | no | — |
| 139 | C5×#107 | — | 2 | 1 | no | — |
| 140 | C5×#106 | — | 2 | 1 | no | — |
| 141 | C5×#104 | D4 | 1 | 4 | yes | complemented |
| 142 | C5×#103 | — | 2 | 1 | no | — |
| 143 | C5×#102 | — | 2 | 1 | no | — |
| 144 | #3955 | — | 2 | 2 | no | — |
| 145 | #3955 | — | 4 | 1 | no | — |
| 146 | #3954 | — | 2 | 2 | no | — |
| 147 | #3952 | — | 2 | 1 | no | — |
| 148 | #3952 | — | 2 | 1 | no | — |
| 149 | #3942 | — | 2 | 1 | no | — |
| 150 | #3942 | — | 2 | 1 | no | — |
| 151 | #3942 | D4 | 1 | 1 | yes | characteristic, complemented |
| 152 | #3942 | D4 | 1 | 1 | yes | characteristic, complemented |
| 153 | #3941 | — | 2 | 1 | no | — |
| 154 | #3941 | — | 2 | 1 | no | — |
| 155 | #3941 | — | 2 | 1 | no | — |
| 156 | #3941 | — | 2 | 1 | no | — |
| 157 | #3941 | — | 2 | 1 | no | — |
| 158 | #3941 | — | 2 | 1 | no | — |
| 159 | #3941 | — | 2 | 1 | no | — |
| 160 | #3941 | — | 2 | 1 | no | — |
| 161 | #3941 | — | 2 | 1 | no | — |
| 162 | #3941 | — | 2 | 1 | no | — |
| 163 | #3941 | — | 2 | 1 | no | — |
| 164 | #3941 | — | 2 | 1 | no | — |
| 165 | #3941 | D4 | 1 | 1 | yes | characteristic, complemented |
| 166 | #3941 | D4 | 1 | 1 | yes | characteristic, complemented |
| 167 | #3937 | — | 2 | 2 | no | — |
| 168 | #3937 | — | 2 | 2 | no | — |
| 169 | C4⋊#168 | — | 2 | 1 | no | — |
| 170 | C4⋊#168 | — | 2 | 1 | no | — |
| 171 | C4×#168 | — | 2 | 2 | no | — |
| 172 | #3062 | — | 5 | 1 | no | — |
| 173 | #3045 | — | 5 | 1 | no | — |
| 174 | C2×#453 | — | 5 | 1 | no | — |
| 175 | #3012 | — | 5 | 1 | no | — |
| 176 | C2×#443 | — | 5 | 1 | no | — |
| 177 | #2897 | — | 5 | 1 | no | — |
| 178 | #2063 | — | 5 | 1 | no | — |
| 179 | #2051 | — | 5 | 1 | no | — |
| 180 | #2039 | — | 5 | 1 | no | — |
| 181 | #2002 | — | 5 | 1 | no | — |
| 182 | #1957 | — | 5 | 1 | no | — |
| 183 | #1937 | — | 5 | 1 | no | — |
| 184 | #1907 | — | 5 | 1 | no | — |
| 185 | #1907 | — | 5 | 1 | no | — |
| 186 | #1859 | D5 | 1 | 1 | yes | characteristic, complemented |
| 187 | C23×D5 | — | 2 | 1 | no | — |
| 188 | C23×D5 | — | 2 | 1 | no | — |
| 189 | C23×D5 | — | 4 | 1 | no | — |
| 190 | C5×#41 | — | 2 | 1 | no | — |
| 191 | C5×#41 | — | 2 | 1 | no | — |
| 192 | C5×#41 | C2×D4 | 1 | 2 | yes | — |
| 193 | C5×#41 | #41 | 1 | 2 | yes | — |
| 194 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C2×C5×D4 | — | 2 | 1 | no | — |
| 196 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C22×C4×C5 | — | 2 | 1 | no | — |
| 198 | C22×C4×C5 | — | 2 | 1 | no | — |
| 199 | C22×C4×C5 | — | 2 | 1 | no | — |
| 200 | C22×C4×C5 | — | 2 | 1 | no | — |
| 201 | C22×C4×C5 | — | 4 | 1 | no | — |
| 202 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 203 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 204 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 205 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 206 | #713 | — | 4 | 2 | no | — |
| 207 | #713 | — | 4 | 2 | no | — |
| 208 | D4×D5 | — | 4 | 2 | no | — |
| 209 | D4×D5 | — | 4 | 4 | no | — |
| 210 | D4×D5 | — | 4 | 4 | no | — |
| 211 | D4×D5 | — | 4 | 2 | no | — |
| 212 | #709 | — | 2 | 4 | no | — |
| 213 | #709 | — | 2 | 1 | no | — |
| 214 | #709 | — | 2 | 1 | no | — |
| 215 | #709 | — | 2 | 1 | no | — |
| 216 | #709 | — | 2 | 1 | no | — |
| 217 | #709 | — | 2 | 1 | no | — |
| 218 | #709 | — | 2 | 1 | no | — |
| 219 | #709 | — | 2 | 1 | no | — |
| 220 | #709 | — | 2 | 1 | no | — |
| 221 | #709 | — | 4 | 2 | no | — |
| 222 | C2×D20 | — | 2 | 4 | no | — |
| 223 | C2×D20 | — | 2 | 1 | no | — |
| 224 | C2×D20 | — | 2 | 1 | no | — |
| 225 | C2×D20 | — | 2 | 1 | no | — |
| 226 | C2×D20 | — | 2 | 1 | no | — |
| 227 | C2×D20 | — | 2 | 1 | no | — |
| 228 | C2×D20 | — | 2 | 1 | no | — |
| 229 | C2×D20 | — | 2 | 1 | no | — |
| 230 | C2×D20 | — | 2 | 1 | no | — |
| 231 | C2×D20 | — | 2 | 1 | no | — |
| 232 | C2×D20 | — | 2 | 1 | no | — |
| 233 | C2×D20 | — | 2 | 1 | no | — |
| 234 | C2×D20 | — | 4 | 2 | no | — |
| 235 | C2×D20 | — | 4 | 1 | no | — |
| 236 | C2×D20 | — | 4 | 4 | no | — |
| 237 | C2×D20 | — | 4 | 1 | no | — |
| 238 | C2×D20 | — | 4 | 1 | no | — |
| 239 | C2×D20 | — | 4 | 1 | no | — |
| 240 | C2×D20 | — | 8 | 2 | no | — |
| 241 | C2×D20 | — | 8 | 2 | no | — |
| 242 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×D20 | #41 | 1 | 2 | yes | — |
| 245 | C2×C4×D5 | — | 2 | 1 | no | — |
| 246 | C2×C4×D5 | — | 2 | 1 | no | — |
| 247 | C2×C4×D5 | — | 4 | 1 | no | — |
| 248 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C5×M16 | — | 2 | 1 | no | — |
| 251 | C5×M16 | — | 2 | 1 | no | — |
| 252 | C5×M16 | — | 2 | 1 | no | — |
| 253 | C5×M16 | C2×D4 | 1 | 2 | yes | — |
| 254 | C2×C5×C8 | — | 2 | 1 | no | — |
| 255 | C2×C5×C8 | — | 2 | 1 | no | — |
| 256 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 257 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 258 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 259 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 260 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 261 | C5×C4⋊C4 | — | 8 | 2 | no | — |
| 262 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 265 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 266 | C42×C5 | — | 2 | 1 | no | — |
| 267 | C42×C5 | — | 2 | 1 | no | — |
| 268 | C42×C5 | — | 4 | 1 | no | — |
| 269 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 270 | #689 | — | 2 | 2 | no | — |
| 271 | #688 | — | 2 | 2 | no | — |
| 272 | #688 | — | 4 | 2 | no | — |
| 273 | #687 | — | 2 | 2 | no | — |
| 274 | #686 | — | 2 | 2 | no | — |
| 275 | #686 | — | 4 | 2 | no | — |
| 276 | #685 | — | 4 | 1 | no | — |
| 277 | #685 | — | 4 | 1 | no | — |
| 278 | #685 | — | 4 | 1 | no | — |
| 279 | #685 | — | 4 | 1 | no | — |
| 280 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 281 | #681 | — | 2 | 1 | no | — |
| 282 | #681 | — | 2 | 1 | no | — |
| 283 | #681 | — | 2 | 1 | no | — |
| 284 | #681 | — | 2 | 1 | no | — |
| 285 | #681 | — | 4 | 2 | no | — |
| 286 | C2×#168 | — | 2 | 1 | no | — |
| 287 | C2×#168 | — | 2 | 1 | no | — |
| 288 | C2×#168 | — | 2 | 1 | no | — |
| 289 | C2×#168 | — | 2 | 1 | no | — |
| 290 | C2×#168 | — | 2 | 1 | no | — |
| 291 | C2×#168 | — | 2 | 1 | no | — |
| 292 | C2×#168 | — | 4 | 2 | no | — |
| 293 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 294 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 295 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 296 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | D40 | — | 4 | 2 | no | — |
| 298 | D40 | — | 4 | 2 | no | — |
| 299 | #677 | — | 4 | 2 | no | — |
| 300 | #677 | — | 4 | 2 | no | — |
| 301 | #676 | — | 4 | 2 | no | — |
| 302 | C8×D5 | — | 4 | 2 | no | — |
| 303 | C2×H(5,𝔽2) | — | 5 | 1 | no | — |
| 304 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 305 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 306 | C2×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 307 | C2×#135 | — | 5 | 1 | no | — |
| 308 | C2×#131 | — | 5 | 1 | no | — |
| 309 | C2×#131 | — | 5 | 1 | no | — |
| 310 | #537 | — | 5 | 1 | no | — |
| 311 | #535 | — | 5 | 1 | no | — |
| 312 | C2×#127 | — | 5 | 1 | no | — |
| 313 | #520 | C2×D5 | 1 | 1 | yes | characteristic |
| 314 | #469 | — | 10 | 1 | no | — |
| 315 | #468 | — | 10 | 1 | no | — |
| 316 | #466 | — | 10 | 1 | no | — |
| 317 | #465 | — | 10 | 1 | no | — |
| 318 | #464 | — | 10 | 1 | no | — |
| 319 | #463 | — | 10 | 1 | no | — |
| 320 | #460 | — | 10 | 1 | no | — |
| 321 | #459 | — | 10 | 1 | no | — |
| 322 | #453 | — | 10 | 4 | no | — |
| 323 | #452 | — | 10 | 1 | no | — |
| 324 | #450 | — | 10 | 1 | no | — |
| 325 | #449 | — | 10 | 1 | no | — |
| 326 | #447 | — | 10 | 1 | no | — |
| 327 | #443 | — | 10 | 4 | no | — |
| 328 | C2×#108 | — | 5 | 1 | no | — |
| 329 | #428 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 330 | #424 | — | 5 | 1 | no | — |
| 331 | C2×#104 | — | 5 | 1 | no | — |
| 332 | C2×#104 | — | 5 | 1 | no | — |
| 333 | C2×#104 | C2×D5 | 1 | 1 | yes | characteristic |
| 334 | #418 | — | 5 | 1 | no | — |
| 335 | #418 | — | 10 | 1 | no | — |
| 336 | #417 | — | 5 | 1 | no | — |
| 337 | #417 | — | 5 | 1 | no | — |
| 338 | #417 | — | 10 | 1 | no | — |
| 339 | #417 | C2×D5 | 1 | 1 | yes | characteristic |
| 340 | #416 | — | 5 | 1 | no | — |
| 341 | #416 | — | 10 | 1 | no | — |
| 342 | C2×#102 | — | 5 | 1 | no | — |
| 343 | C2×#102 | — | 5 | 1 | no | — |
| 344 | C2×#102 | — | 5 | 1 | no | — |
| 345 | C2×#102 | — | 5 | 1 | no | — |
| 346 | C2×#102 | — | 10 | 1 | no | — |
| 347 | C2×#100 | — | 5 | 1 | no | — |
| 348 | C2×#100 | — | 5 | 1 | no | — |
| 349 | #408 | — | 5 | 1 | no | — |
| 350 | C2×C4×C8 | — | 5 | 1 | no | — |
| 351 | #384 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 352 | #343 | — | 5 | 1 | no | — |
| 353 | #343 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 354 | #341 | — | 5 | 1 | no | — |
| 355 | #339 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 356 | C23×C5 | — | 2 | 1 | no | — |
| 357 | C23×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 358 | C22×D5 | — | 2 | 1 | no | — |
| 359 | C22×D5 | — | 2 | 1 | no | — |
| 360 | C22×D5 | — | 2 | 2 | no | — |
| 361 | C22×D5 | — | 4 | 1 | no | — |
| 362 | C22×D5 | — | 4 | 4 | no | — |
| 363 | C22×D5 | — | 4 | 1 | no | — |
| 364 | C22×D5 | — | 4 | 1 | no | — |
| 365 | C22×D5 | — | 4 | 1 | no | — |
| 366 | C22×D5 | — | 4 | 1 | no | — |
| 367 | C22×D5 | — | 8 | 1 | no | — |
| 368 | C22×D5 | — | 8 | 1 | no | — |
| 369 | C22×D5 | — | 8 | 1 | no | — |
| 370 | C22×D5 | — | 8 | 1 | no | — |
| 371 | C22×D5 | — | 16 | 1 | no | — |
| 372 | C22×D5 | — | 16 | 1 | no | — |
| 373 | C5×Q8 | — | 2 | 1 | no | — |
| 374 | C5×Q8 | #121 | 1 | 2 | yes | — |
| 375 | C5×D4 | — | 2 | 2 | no | — |
| 376 | C5×D4 | — | 2 | 2 | no | — |
| 377 | C5×D4 | — | 2 | 1 | no | — |
| 378 | C5×D4 | #121 | 1 | 2 | yes | — |
| 379 | C2×C4×C5 | — | 2 | 2 | no | — |
| 380 | C2×C4×C5 | — | 2 | 2 | no | — |
| 381 | C2×C4×C5 | — | 2 | 1 | no | — |
| 382 | C2×C4×C5 | — | 2 | 2 | no | — |
| 383 | C2×C4×C5 | — | 2 | 2 | no | — |
| 384 | C2×C4×C5 | — | 2 | 2 | no | — |
| 385 | C2×C4×C5 | — | 2 | 1 | no | — |
| 386 | C2×C4×C5 | — | 2 | 1 | no | — |
| 387 | C2×C4×C5 | — | 4 | 1 | no | — |
| 388 | C2×C4×C5 | — | 4 | 1 | no | — |
| 389 | C2×C4×C5 | — | 8 | 1 | no | — |
| 390 | C2×C4×C5 | — | 8 | 1 | no | — |
| 391 | C2×C4×C5 | — | 16 | 1 | no | — |
| 392 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 393 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 394 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 395 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 396 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 397 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 398 | C22⋊D5 | — | 4 | 4 | no | — |
| 399 | C22⋊D5 | — | 4 | 1 | no | — |
| 400 | C22⋊D5 | — | 4 | 1 | no | — |
| 401 | C22⋊D5 | — | 4 | 1 | no | — |
| 402 | C22⋊D5 | — | 4 | 1 | no | — |
| 403 | C2×Dic5 | — | 2 | 1 | no | — |
| 404 | C2×Dic5 | — | 2 | 1 | no | — |
| 405 | D20 | — | 2 | 1 | no | — |
| 406 | D20 | — | 2 | 1 | no | — |
| 407 | D20 | — | 2 | 2 | no | — |
| 408 | D20 | — | 2 | 1 | no | — |
| 409 | D20 | — | 2 | 2 | no | — |
| 410 | D20 | — | 2 | 1 | no | — |
| 411 | D20 | — | 4 | 4 | no | — |
| 412 | D20 | — | 4 | 1 | no | — |
| 413 | D20 | — | 4 | 1 | no | — |
| 414 | D20 | — | 4 | 1 | no | — |
| 415 | D20 | — | 4 | 1 | no | — |
| 416 | D20 | — | 4 | 1 | no | — |
| 417 | D20 | — | 4 | 1 | no | — |
| 418 | D20 | — | 8 | 8 | no | — |
| 419 | D20 | — | 16 | 1 | no | — |
| 420 | D20 | — | 16 | 1 | no | — |
| 421 | D20 | — | 16 | 1 | no | — |
| 422 | C4×D5 | — | 4 | 4 | no | — |
| 423 | C4×D5 | — | 4 | 1 | no | — |
| 424 | C4×D5 | — | 4 | 1 | no | — |
| 425 | C4×D5 | — | 4 | 1 | no | — |
| 426 | C4×D5 | — | 4 | 1 | no | — |
| 427 | Dic10 | — | 2 | 1 | no | — |
| 428 | Dic10 | — | 2 | 1 | no | — |
| 429 | Dic10 | — | 2 | 1 | no | — |
| 430 | Dic10 | — | 2 | 1 | no | — |
| 431 | C5×C8 | — | 2 | 2 | no | — |
| 432 | C5×C8 | — | 4 | 1 | no | — |
| 433 | #168 | — | 2 | 1 | no | — |
| 434 | #168 | — | 2 | 1 | no | — |
| 435 | #168 | — | 2 | 1 | no | — |
| 436 | #168 | — | 2 | 1 | no | — |
| 437 | #168 | — | 4 | 1 | no | — |
| 438 | #168 | — | 4 | 1 | no | — |
| 439 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 440 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 441 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 442 | H(5,𝔽2) | — | 20 | 1 | no | — |
| 443 | C2×#41 | — | 5 | 1 | no | — |
| 444 | C2×#41 | — | 5 | 1 | no | — |
| 445 | C2×#41 | — | 10 | 1 | no | — |
| 446 | C2×#41 | — | 10 | 1 | no | — |
| 447 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 448 | C22×D4 | — | 5 | 1 | no | — |
| 449 | C22×D4 | — | 5 | 1 | no | — |
| 450 | C22×D4 | — | 10 | 1 | no | — |
| 451 | C22×D4 | — | 10 | 1 | no | — |
| 452 | C22×D4 | — | 20 | 1 | no | — |
| 453 | C22×D4 | — | 20 | 1 | no | — |
| 454 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 455 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 456 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 457 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 458 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 459 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 460 | #135 | — | 10 | 2 | no | — |
| 461 | #135 | — | 10 | 2 | no | — |
| 462 | C2×Q16 | — | 5 | 1 | no | — |
| 463 | C2×SD16 | — | 5 | 1 | no | — |
| 464 | C2×SD16 | — | 5 | 1 | no | — |
| 465 | C2×SD16 | — | 10 | 1 | no | — |
| 466 | C2×SD16 | — | 10 | 1 | no | — |
| 467 | C2×SD16 | — | 10 | 1 | no | — |
| 468 | C2×D8 | — | 5 | 1 | no | — |
| 469 | C2×D8 | — | 10 | 1 | no | — |
| 470 | C2×D8 | — | 10 | 1 | no | — |
| 471 | C2×D8 | — | 10 | 1 | no | — |
| 472 | #131 | — | 10 | 2 | no | — |
| 473 | #131 | — | 10 | 2 | no | — |
| 474 | #131 | — | 20 | 1 | no | — |
| 475 | #131 | — | 20 | 1 | no | — |
| 476 | C2×M16 | — | 5 | 1 | no | — |
| 477 | C2×M16 | — | 5 | 1 | no | — |
| 478 | C2×M16 | — | 10 | 1 | no | — |
| 479 | C2×M16 | — | 10 | 1 | no | — |
| 480 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 481 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 482 | C22×C8 | — | 5 | 1 | no | — |
| 483 | C22×C8 | — | 5 | 1 | no | — |
| 484 | C22×C8 | — | 10 | 1 | no | — |
| 485 | C22×C8 | — | 10 | 1 | no | — |
| 486 | #127 | — | 10 | 2 | no | — |
| 487 | #127 | — | 10 | 1 | no | — |
| 488 | #127 | — | 10 | 2 | no | — |
| 489 | #124 | — | 10 | 1 | no | — |
| 490 | C22⋊Q8 | — | 10 | 1 | no | — |
| 491 | C22⋊Q8 | — | 10 | 1 | no | — |
| 492 | #121 | — | 10 | 1 | no | — |
| 493 | #121 | — | 10 | 1 | no | — |
| 494 | #121 | — | 10 | 1 | no | — |
| 495 | #121 | — | 10 | 1 | no | — |
| 496 | #121 | — | 20 | 1 | no | — |
| 497 | #120 | — | 20 | 1 | no | — |
| 498 | C4×Q8 | — | 2 | 1 | no | — |
| 499 | C4×D4 | — | 2 | 1 | no | — |
| 500 | C4×D4 | — | 4 | 1 | no | — |
| 501 | #117 | — | 2 | 1 | no | — |
| 502 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 503 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 504 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 505 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 506 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 507 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 508 | #108 | — | 10 | 2 | no | — |
| 509 | #107 | — | 2 | 1 | no | — |
| 510 | #106 | — | 2 | 1 | no | — |
| 511 | C4⋊C8 | — | 10 | 1 | no | — |
| 512 | C4⋊C8 | — | 10 | 1 | no | — |
| 513 | #104 | — | 10 | 2 | no | — |
| 514 | #104 | — | 10 | 2 | no | — |
| 515 | #104 | D20 | 1 | 4 | yes | complemented |
| 516 | #103 | — | 2 | 1 | no | — |
| 517 | #103 | — | 5 | 1 | no | — |
| 518 | #103 | — | 5 | 1 | no | — |
| 519 | #103 | — | 10 | 1 | no | — |
| 520 | #103 | — | 10 | 1 | no | — |
| 521 | #102 | — | 2 | 1 | no | — |
| 522 | #102 | — | 5 | 1 | no | — |
| 523 | #102 | — | 5 | 1 | no | — |
| 524 | #102 | — | 10 | 1 | no | — |
| 525 | #102 | — | 10 | 1 | no | — |
| 526 | #102 | — | 10 | 1 | no | — |
| 527 | #102 | — | 10 | 1 | no | — |
| 528 | #102 | — | 10 | 1 | no | — |
| 529 | #102 | — | 10 | 1 | no | — |
| 530 | #102 | — | 10 | 1 | no | — |
| 531 | #102 | — | 10 | 1 | no | — |
| 532 | #102 | — | 10 | 1 | no | — |
| 533 | #102 | — | 10 | 1 | no | — |
| 534 | #102 | — | 10 | 1 | no | — |
| 535 | #102 | — | 10 | 1 | no | — |
| 536 | #100 | — | 10 | 2 | no | — |
| 537 | #100 | — | 20 | 1 | no | — |
| 538 | C22⋊C8 | — | 10 | 1 | no | — |
| 539 | C22⋊C8 | — | 10 | 1 | no | — |
| 540 | C4×C8 | — | 10 | 2 | no | — |
| 541 | C22×C5 | — | 2 | 1 | no | — |
| 542 | C22×C5 | — | 2 | 1 | no | — |
| 543 | C22×C5 | — | 2 | 2 | no | — |
| 544 | C22×C5 | — | 4 | 1 | no | — |
| 545 | C22×C5 | — | 4 | 1 | no | — |
| 546 | C22×C5 | #538 | 1 | 1 | yes | characteristic |
| 547 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 548 | C22×C5 | #546 | 1 | 1 | yes | characteristic |
| 549 | C2×D5 | — | 4 | 1 | no | — |
| 550 | C2×D5 | — | 4 | 2 | no | — |
| 551 | C2×D5 | — | 4 | 1 | no | — |
| 552 | C2×D5 | — | 4 | 1 | no | — |
| 553 | C2×D5 | — | 4 | 1 | no | — |
| 554 | C2×D5 | — | 4 | 1 | no | — |
| 555 | C2×D5 | — | 4 | 1 | no | — |
| 556 | C2×D5 | — | 8 | 1 | no | — |
| 557 | C2×D5 | — | 8 | 1 | no | — |
| 558 | C2×D5 | — | 8 | 2 | no | — |
| 559 | C2×D5 | — | 8 | 2 | no | — |
| 560 | C2×D5 | — | 8 | 1 | no | — |
| 561 | C2×D5 | — | 8 | 1 | no | — |
| 562 | C2×D5 | — | 8 | 1 | no | — |
| 563 | C2×D5 | — | 16 | 1 | no | — |
| 564 | C2×D5 | — | 16 | 4 | no | — |
| 565 | C2×D5 | — | 16 | 1 | no | — |
| 566 | C4×C5 | — | 2 | 4 | no | — |
| 567 | C4×C5 | — | 2 | 2 | no | — |
| 568 | C4×C5 | — | 4 | 1 | no | — |
| 569 | C4×C5 | — | 4 | 1 | no | — |
| 570 | C4×C5 | — | 8 | 1 | no | — |
| 571 | C4×C5 | — | 8 | 1 | no | — |
| 572 | C4×C5 | C2×#121 | 1 | 1 | yes | characteristic |
| 573 | C4×C5 | #525 | 1 | 1 | yes | characteristic |
| 574 | C4×C5 | D42 | 1 | 1 | yes | characteristic |
| 575 | C4×C5 | #546 | 1 | 1 | yes | characteristic |
| 576 | Dic5 | — | 4 | 1 | no | — |
| 577 | Dic5 | — | 4 | 1 | no | — |
| 578 | C24 | — | 10 | 1 | no | — |
| 579 | C24 | — | 10 | 1 | no | — |
| 580 | C24 | — | 20 | 1 | no | — |
| 581 | #41 | — | 2 | 1 | no | — |
| 582 | #41 | — | 2 | 1 | no | — |
| 583 | #41 | — | 10 | 4 | no | — |
| 584 | #41 | — | 10 | 1 | no | — |
| 585 | #41 | — | 10 | 1 | no | — |
| 586 | #41 | — | 10 | 1 | no | — |
| 587 | #41 | — | 10 | 1 | no | — |
| 588 | #41 | — | 10 | 1 | no | — |
| 589 | #41 | — | 10 | 1 | no | — |
| 590 | #41 | — | 10 | 1 | no | — |
| 591 | #41 | — | 10 | 1 | no | — |
| 592 | #41 | — | 20 | 2 | no | — |
| 593 | #41 | — | 20 | 2 | no | — |
| 594 | #41 | — | 20 | 2 | no | — |
| 595 | #41 | C2×D20 | 1 | 2 | yes | — |
| 596 | #41 | #713 | 1 | 2 | yes | — |
| 597 | C2×Q8 | — | 5 | 1 | no | — |
| 598 | C2×Q8 | — | 5 | 1 | no | — |
| 599 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 600 | C2×D4 | — | 2 | 1 | no | — |
| 601 | C2×D4 | — | 5 | 1 | no | — |
| 602 | C2×D4 | — | 5 | 1 | no | — |
| 603 | C2×D4 | — | 5 | 2 | no | — |
| 604 | C2×D4 | — | 10 | 4 | no | — |
| 605 | C2×D4 | — | 10 | 1 | no | — |
| 606 | C2×D4 | — | 10 | 1 | no | — |
| 607 | C2×D4 | — | 10 | 1 | no | — |
| 608 | C2×D4 | — | 10 | 1 | no | — |
| 609 | C2×D4 | — | 10 | 1 | no | — |
| 610 | C2×D4 | — | 10 | 1 | no | — |
| 611 | C2×D4 | — | 10 | 1 | no | — |
| 612 | C2×D4 | — | 10 | 1 | no | — |
| 613 | C2×D4 | — | 10 | 1 | no | — |
| 614 | C2×D4 | — | 10 | 1 | no | — |
| 615 | C2×D4 | — | 10 | 1 | no | — |
| 616 | C2×D4 | — | 10 | 1 | no | — |
| 617 | C2×D4 | — | 10 | 1 | no | — |
| 618 | C2×D4 | — | 20 | 2 | no | — |
| 619 | C2×D4 | — | 20 | 1 | no | — |
| 620 | C2×D4 | — | 20 | 4 | no | — |
| 621 | C2×D4 | — | 20 | 1 | no | — |
| 622 | C2×D4 | — | 20 | 1 | no | — |
| 623 | C2×D4 | — | 20 | 1 | no | — |
| 624 | C2×D4 | — | 20 | 1 | no | — |
| 625 | C2×D4 | — | 20 | 2 | no | — |
| 626 | C2×D4 | — | 20 | 4 | no | — |
| 627 | C2×D4 | — | 20 | 4 | no | — |
| 628 | C2×D4 | — | 20 | 2 | no | — |
| 629 | C2×D4 | — | 40 | 2 | no | — |
| 630 | C2×D4 | — | 40 | 2 | no | — |
| 631 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 632 | C22×C4 | — | 2 | 1 | no | — |
| 633 | C22×C4 | — | 2 | 1 | no | — |
| 634 | C22×C4 | — | 2 | 1 | no | — |
| 635 | C22×C4 | — | 2 | 1 | no | — |
| 636 | C22×C4 | — | 4 | 1 | no | — |
| 637 | C22×C4 | — | 10 | 1 | no | — |
| 638 | C22×C4 | — | 10 | 1 | no | — |
| 639 | C22×C4 | — | 20 | 1 | no | — |
| 640 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 641 | Q16 | — | 10 | 2 | no | — |
| 642 | SD16 | — | 10 | 2 | no | — |
| 643 | SD16 | — | 10 | 2 | no | — |
| 644 | SD16 | — | 20 | 2 | no | — |
| 645 | SD16 | — | 20 | 2 | no | — |
| 646 | SD16 | — | 20 | 2 | no | — |
| 647 | D8 | — | 10 | 2 | no | — |
| 648 | D8 | — | 20 | 2 | no | — |
| 649 | D8 | — | 20 | 2 | no | — |
| 650 | D8 | — | 20 | 2 | no | — |
| 651 | M16 | — | 2 | 1 | no | — |
| 652 | M16 | — | 2 | 1 | no | — |
| 653 | M16 | — | 2 | 1 | no | — |
| 654 | M16 | — | 10 | 1 | no | — |
| 655 | M16 | — | 10 | 1 | no | — |
| 656 | M16 | — | 10 | 1 | no | — |
| 657 | M16 | — | 10 | 1 | no | — |
| 658 | M16 | — | 20 | 2 | no | — |
| 659 | M16 | — | 20 | 2 | no | — |
| 660 | M16 | C2×D20 | 1 | 2 | yes | — |
| 661 | C2×C8 | — | 2 | 1 | no | — |
| 662 | C2×C8 | — | 2 | 1 | no | — |
| 663 | C2×C8 | — | 5 | 1 | no | — |
| 664 | C2×C8 | — | 5 | 1 | no | — |
| 665 | C2×C8 | — | 5 | 1 | no | — |
| 666 | C2×C8 | — | 5 | 1 | no | — |
| 667 | C2×C8 | — | 10 | 1 | no | — |
| 668 | C2×C8 | — | 10 | 1 | no | — |
| 669 | C2×C8 | — | 10 | 1 | no | — |
| 670 | C2×C8 | — | 10 | 1 | no | — |
| 671 | C2×C8 | — | 10 | 1 | no | — |
| 672 | C2×C8 | — | 10 | 1 | no | — |
| 673 | C2×C8 | — | 20 | 2 | no | — |
| 674 | C2×C8 | — | 20 | 2 | no | — |
| 675 | C4⋊C4 | — | 2 | 1 | no | — |
| 676 | C4⋊C4 | — | 2 | 1 | no | — |
| 677 | C4⋊C4 | — | 2 | 1 | no | — |
| 678 | C4⋊C4 | — | 2 | 1 | no | — |
| 679 | C4⋊C4 | — | 4 | 1 | no | — |
| 680 | C4⋊C4 | — | 8 | 2 | no | — |
| 681 | C4⋊C4 | — | 20 | 1 | no | — |
| 682 | C4⋊C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 683 | C4⋊C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 684 | C22⋊C4 | — | 2 | 1 | no | — |
| 685 | C22⋊C4 | — | 4 | 1 | no | — |
| 686 | C22⋊C4 | — | 20 | 1 | no | — |
| 687 | C22⋊C4 | — | 20 | 1 | no | — |
| 688 | C22⋊C4 | — | 20 | 1 | no | — |
| 689 | C22⋊C4 | — | 20 | 1 | no | — |
| 690 | C42 | — | 2 | 1 | no | — |
| 691 | C42 | — | 2 | 1 | no | — |
| 692 | C42 | — | 4 | 1 | no | — |
| 693 | C42 | C2×D20 | 1 | 2 | yes | — |
| 694 | C2×C5 | — | 2 | 1 | no | — |
| 695 | C2×C5 | — | 2 | 1 | no | — |
| 696 | C2×C5 | — | 4 | 2 | no | — |
| 697 | C2×C5 | #2424 | 1 | 1 | yes | characteristic |
| 698 | C2×C5 | #3291 | 1 | 1 | yes | characteristic |
| 699 | C2×C5 | #3292 | 1 | 1 | yes | characteristic |
| 700 | D5 | — | 8 | 1 | no | — |
| 701 | D5 | — | 8 | 1 | no | — |
| 702 | D5 | — | 8 | 2 | no | — |
| 703 | D5 | — | 16 | 1 | no | — |
| 704 | C23 | — | 2 | 1 | no | — |
| 705 | C23 | — | 10 | 1 | no | — |
| 706 | C23 | — | 10 | 1 | no | — |
| 707 | C23 | — | 10 | 2 | no | — |
| 708 | C23 | — | 20 | 4 | no | — |
| 709 | C23 | — | 20 | 1 | no | — |
| 710 | C23 | — | 20 | 1 | no | — |
| 711 | C23 | — | 20 | 1 | no | — |
| 712 | C23 | — | 20 | 1 | no | — |
| 713 | C23 | — | 20 | 1 | no | — |
| 714 | C23 | — | 40 | 1 | no | — |
| 715 | C23 | — | 40 | 1 | no | — |
| 716 | C23 | — | 40 | 1 | no | — |
| 717 | C23 | — | 40 | 1 | no | — |
| 718 | C23 | — | 80 | 1 | no | — |
| 719 | C23 | — | 80 | 1 | no | — |
| 720 | C23 | #4144 | 1 | 1 | yes | characteristic |
| 721 | Q8 | — | 2 | 1 | no | — |
| 722 | Q8 | — | 10 | 1 | no | — |
| 723 | Q8 | — | 10 | 1 | no | — |
| 724 | Q8 | — | 10 | 1 | no | — |
| 725 | Q8 | — | 10 | 1 | no | — |
| 726 | Q8 | #4041 | 1 | 2 | yes | — |
| 727 | D4 | — | 2 | 2 | no | — |
| 728 | D4 | — | 2 | 2 | no | — |
| 729 | D4 | — | 2 | 1 | no | — |
| 730 | D4 | — | 10 | 1 | no | — |
| 731 | D4 | — | 10 | 1 | no | — |
| 732 | D4 | — | 10 | 1 | no | — |
| 733 | D4 | — | 10 | 2 | no | — |
| 734 | D4 | — | 10 | 1 | no | — |
| 735 | D4 | — | 10 | 2 | no | — |
| 736 | D4 | — | 20 | 4 | no | — |
| 737 | D4 | — | 20 | 4 | no | — |
| 738 | D4 | — | 20 | 1 | no | — |
| 739 | D4 | — | 20 | 1 | no | — |
| 740 | D4 | — | 20 | 1 | no | — |
| 741 | D4 | — | 20 | 1 | no | — |
| 742 | D4 | — | 20 | 1 | no | — |
| 743 | D4 | — | 20 | 1 | no | — |
| 744 | D4 | — | 20 | 1 | no | — |
| 745 | D4 | — | 20 | 1 | no | — |
| 746 | D4 | — | 20 | 1 | no | — |
| 747 | D4 | — | 20 | 1 | no | — |
| 748 | D4 | — | 40 | 8 | no | — |
| 749 | D4 | — | 80 | 1 | no | — |
| 750 | D4 | — | 80 | 1 | no | — |
| 751 | D4 | — | 80 | 1 | no | — |
| 752 | D4 | #4041 | 1 | 2 | yes | — |
| 753 | C2×C4 | — | 2 | 2 | no | — |
| 754 | C2×C4 | — | 2 | 2 | no | — |
| 755 | C2×C4 | — | 2 | 2 | no | — |
| 756 | C2×C4 | — | 2 | 1 | no | — |
| 757 | C2×C4 | — | 2 | 2 | no | — |
| 758 | C2×C4 | — | 2 | 2 | no | — |
| 759 | C2×C4 | — | 2 | 1 | no | — |
| 760 | C2×C4 | — | 2 | 1 | no | — |
| 761 | C2×C4 | — | 4 | 1 | no | — |
| 762 | C2×C4 | — | 4 | 1 | no | — |
| 763 | C2×C4 | — | 8 | 1 | no | — |
| 764 | C2×C4 | — | 8 | 1 | no | — |
| 765 | C2×C4 | — | 10 | 1 | no | — |
| 766 | C2×C4 | — | 10 | 1 | no | — |
| 767 | C2×C4 | — | 16 | 1 | no | — |
| 768 | C2×C4 | — | 20 | 4 | no | — |
| 769 | C2×C4 | — | 20 | 1 | no | — |
| 770 | C2×C4 | — | 20 | 1 | no | — |
| 771 | C2×C4 | — | 20 | 1 | no | — |
| 772 | C2×C4 | — | 20 | 1 | no | — |
| 773 | C2×C4 | C22×D20 | 1 | 1 | yes | characteristic |
| 774 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 775 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 776 | C2×C4 | C2×#713 | 1 | 1 | yes | characteristic |
| 777 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 778 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 779 | C8 | — | 2 | 2 | no | — |
| 780 | C8 | — | 4 | 1 | no | — |
| 781 | C8 | — | 10 | 1 | no | — |
| 782 | C8 | — | 10 | 1 | no | — |
| 783 | C8 | — | 10 | 1 | no | — |
| 784 | C8 | — | 10 | 1 | no | — |
| 785 | C8 | — | 20 | 1 | no | — |
| 786 | C8 | — | 20 | 1 | no | — |
| 787 | C5 | #25188 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 788 | C22 | — | 2 | 1 | no | — |
| 789 | C22 | — | 2 | 1 | no | — |
| 790 | C22 | — | 2 | 2 | no | — |
| 791 | C22 | — | 4 | 1 | no | — |
| 792 | C22 | — | 4 | 1 | no | — |
| 793 | C22 | — | 20 | 1 | no | — |
| 794 | C22 | — | 20 | 2 | no | — |
| 795 | C22 | — | 20 | 1 | no | — |
| 796 | C22 | — | 20 | 1 | no | — |
| 797 | C22 | — | 20 | 1 | no | — |
| 798 | C22 | — | 20 | 1 | no | — |
| 799 | C22 | — | 20 | 1 | no | — |
| 800 | C22 | — | 40 | 2 | no | — |
| 801 | C22 | — | 40 | 2 | no | — |
| 802 | C22 | — | 40 | 1 | no | — |
| 803 | C22 | — | 40 | 1 | no | — |
| 804 | C22 | — | 40 | 1 | no | — |
| 805 | C22 | — | 40 | 1 | no | — |
| 806 | C22 | — | 40 | 1 | no | — |
| 807 | C22 | — | 80 | 1 | no | — |
| 808 | C22 | — | 80 | 1 | no | — |
| 809 | C22 | — | 80 | 4 | no | — |
| 810 | C22 | #65888 | 1 | 1 | yes | characteristic |
| 811 | C22 | #65924 | 1 | 1 | yes | characteristic |
| 812 | C22 | #65978 | 1 | 1 | yes | characteristic |
| 813 | C4 | — | 2 | 4 | no | — |
| 814 | C4 | — | 2 | 2 | no | — |
| 815 | C4 | — | 4 | 1 | no | — |
| 816 | C4 | — | 4 | 1 | no | — |
| 817 | C4 | — | 8 | 1 | no | — |
| 818 | C4 | — | 8 | 1 | no | — |
| 819 | C4 | — | 20 | 1 | no | — |
| 820 | C4 | — | 20 | 1 | no | — |
| 821 | C4 | C2×#4041 | 1 | 1 | yes | characteristic |
| 822 | C4 | D4×D20 | 1 | 1 | yes | characteristic |
| 823 | C4 | #65961 | 1 | 1 | yes | characteristic |
| 824 | C4 | #65988 | 1 | 1 | yes | characteristic |
| 825 | C2 | — | 2 | 1 | no | — |
| 826 | C2 | — | 2 | 1 | no | — |
| 827 | C2 | — | 4 | 2 | no | — |
| 828 | C2 | — | 40 | 1 | no | — |
| 829 | C2 | — | 40 | 1 | no | — |
| 830 | C2 | — | 40 | 2 | no | — |
| 831 | C2 | — | 80 | 1 | no | — |
| 832 | C2 | #10606336 | 1 | 1 | yes | characteristic |
| 833 | C2 | #10612013 | 1 | 1 | yes | characteristic |
| 834 | C2 | #10612033 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10614296 | C2 | semidirect |
| 2. #10614294 | C2 | semidirect |
| 3. #10610944 | C2 | semidirect |
| 4. C2×#65111 | C2 | semidirect |
| 5. C2×#65113 | C2 | semidirect |
| 6. #10610617 | C2 | semidirect |
| 7. C5×#1859 | C2 | semidirect |
| 8. #10601469 | C2 | semidirect |
| 9. #10601096 | C2 | semidirect |
| 10. #10600386 | C2 | semidirect |
| 11. #10600373 | C2 | semidirect |
| 12. #10599799 | C2 | semidirect |
| 13. #10599779 | C2 | semidirect |
| 14. #10599554 | C2 | semidirect |
| 15. #10599538 | C2 | semidirect |
| 23. C2×#4053 | C22 | semidirect |
| 24. #65859 | C22 | semidirect |
| 27. C5×#428 | C22 | semidirect |
| 30. C5×#384 | C22 | semidirect |
| 32. C2×#3955 | C22 | semidirect |
| 34. C2×#3954 | C22 | semidirect |
| 43. #65288 | C22 | semidirect |
| 46. #65255 | C22 | semidirect |
| 50. C2×#3941 | C22 | semidirect |
| 51. C2×#3941 | C22 | semidirect |
| 53. C2×#3937 | C22 | semidirect |
| 54. C2×C4×#168 | C22 | semidirect |
| 65. C5×#343 | C22 | semidirect |
| 66. C5×#339 | C22 | semidirect |
| 67. #64778 | C22 | semidirect |
| 68. #64750 | C22 | semidirect |
| 103. C2×#689 | D4 | semidirect |
| 105. C2×#688 | D4 | semidirect |
| 106. C2×#687 | D4 | semidirect |
| 108. C2×#686 | D4 | semidirect |
| 141. C5×#104 | D4 | semidirect |
| 151. #3942 | D4 | semidirect |
| 152. #3942 | D4 | semidirect |
| 165. #3941 | D4 | semidirect |
| 166. #3941 | D4 | semidirect |
| 186. #1859 | D5 | semidirect |
| 329. #428 | C2×D5 | semidirect |
| 351. #384 | C2×D5 | semidirect |
| 353. #343 | C2×D5 | semidirect |
| 355. #339 | C2×D5 | semidirect |
| 515. #104 | D20 | semidirect |
| 787. C5 | #25188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614296 | 2 |
| #10614294 | 2 |
| #10610944 | 2 |
| C2×#65111 | 2 |
| C2×#65113 | 2 |
| #10610617 | 2 |
| C5×#1859 | 2 |
| #10601469 | 2 |
| #10601096 | 2 |
| #10600386 | 2 |
| #10600373 | 2 |
| #10599799 | 2 |
| #10599779 | 2 |
| #10599554 | 2 |
| #10599538 | 2 |
| #25188 | 5 |