Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
1230 conjugacy classes of subgroups.
The subgroup lattice has 1027 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | AGL(1,ℤ/8)×C5⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13106562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13106534 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#11717055 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#65489 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C5×#65488 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13101859 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13101856 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13101685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13101684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13101682 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13101191 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13101158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #13101157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #13101155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #41×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×D4×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#87871 | C22 | 1 | 1 | yes | characteristic |
| 19 | C52×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic |
| 20 | #11717269 | C22 | 1 | 1 | yes | characteristic |
| 21 | #11717252 | C22 | 1 | 1 | yes | characteristic |
| 22 | #11717234 | — | 2 | 1 | no | — |
| 23 | SD16×C5⋊D5 | — | 2 | 1 | no | — |
| 24 | #11717231 | — | 2 | 1 | no | — |
| 25 | D8×C5⋊D5 | — | 2 | 1 | no | — |
| 26 | #11717228 | C22 | 1 | 1 | yes | characteristic |
| 27 | M16×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 28 | C5×#4097 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C5×#4095 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#4094 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C5×#4094 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×C5×#687 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×C5×#686 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #11717069 | — | 2 | 1 | no | — |
| 35 | #11717068 | — | 2 | 1 | no | — |
| 36 | #11717055 | — | 2 | 1 | no | — |
| 37 | #11717055 | — | 2 | 1 | no | — |
| 38 | #11717055 | — | 2 | 1 | no | — |
| 39 | #11717055 | — | 2 | 1 | no | — |
| 40 | #11717055 | — | 2 | 1 | no | — |
| 41 | #11717054 | — | 2 | 1 | no | — |
| 42 | #11716951 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#87774 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #11716948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×#87771 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#87769 | — | 2 | 1 | no | — |
| 47 | C2×#87769 | C22 | 1 | 1 | yes | characteristic |
| 48 | #11716936 | — | 2 | 1 | no | — |
| 49 | #11716936 | C22 | 1 | 1 | yes | characteristic |
| 50 | #11716936 | C22 | 1 | 1 | yes | characteristic |
| 51 | #11716935 | — | 2 | 1 | no | — |
| 52 | #11716935 | — | 2 | 1 | no | — |
| 53 | #11716935 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #11716935 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C5×#3965 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C5×#3965 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C5×#3956 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C5×#3955 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C5×#3954 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C5×#3954 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #11716618 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #11716618 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #11716601 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #11716600 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #11716600 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #11716599 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #10612669 | — | 5 | 1 | no | maximal |
| 68 | #10612661 | — | 5 | 1 | no | maximal |
| 69 | C23×C5⋊D5 | — | 2 | 1 | no | — |
| 70 | C52×#41 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×C52×D4 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 73 | #87904 | D4 | 1 | 1 | yes | characteristic |
| 74 | Q8×C5⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 75 | #87902 | — | 2 | 1 | no | — |
| 76 | #87902 | D4 | 1 | 1 | yes | characteristic |
| 77 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 78 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 79 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 80 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 81 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 82 | D4×C5⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 83 | #87900 | — | 2 | 1 | no | — |
| 84 | #87900 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C4⋊(C5⋊D5) | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 87 | C2×C4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C5×D20 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C5×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×#6038 | — | 2 | 1 | no | — |
| 91 | C2×D5×Dic5 | — | 2 | 1 | no | — |
| 92 | #87871 | — | 2 | 1 | no | — |
| 93 | #87871 | — | 2 | 1 | no | — |
| 94 | #87871 | — | 2 | 1 | no | — |
| 95 | #87871 | — | 2 | 1 | no | — |
| 96 | C52×SD16 | — | 2 | 1 | no | — |
| 97 | C52×D8 | — | 2 | 1 | no | — |
| 98 | C52×M16 | C23 | 1 | 1 | yes | characteristic |
| 99 | #87811 | — | 2 | 1 | no | — |
| 100 | #87810 | — | 2 | 1 | no | — |
| 101 | #87809 | — | 2 | 1 | no | — |
| 102 | #87809 | — | 2 | 1 | no | — |
| 103 | #87804 | C23 | 1 | 1 | yes | characteristic |
| 104 | #87801 | — | 2 | 1 | no | — |
| 105 | #87800 | — | 2 | 1 | no | — |
| 106 | #87799 | — | 2 | 1 | no | — |
| 107 | C8×C5⋊D5 | — | 2 | 1 | no | — |
| 108 | C5×#689 | — | 2 | 1 | no | — |
| 109 | C5×#688 | — | 2 | 1 | no | — |
| 110 | C5×#687 | — | 2 | 1 | no | — |
| 111 | C5×#687 | — | 2 | 1 | no | — |
| 112 | C5×#687 | — | 2 | 1 | no | — |
| 113 | C5×#686 | — | 2 | 1 | no | — |
| 114 | C5×#686 | — | 2 | 1 | no | — |
| 115 | C5×#686 | — | 2 | 1 | no | — |
| 116 | C5×#681 | — | 2 | 1 | no | — |
| 117 | C5×#681 | — | 2 | 1 | no | — |
| 118 | C5×#681 | C23 | 1 | 1 | yes | characteristic |
| 119 | C5×#681 | C23 | 1 | 1 | yes | characteristic |
| 120 | C5×#681 | C23 | 1 | 1 | yes | characteristic |
| 121 | C5×#681 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C5×#168 | — | 2 | 1 | no | — |
| 123 | C2×C5×#168 | — | 2 | 1 | no | — |
| 124 | C2×C5×#168 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×C5×#168 | C23 | 1 | 1 | yes | characteristic |
| 126 | #87776 | — | 2 | 1 | no | — |
| 127 | #87774 | — | 2 | 1 | no | — |
| 128 | #87774 | — | 2 | 1 | no | — |
| 129 | #87774 | — | 2 | 1 | no | — |
| 130 | #87773 | — | 2 | 1 | no | — |
| 131 | #87771 | — | 2 | 1 | no | — |
| 132 | #87771 | — | 2 | 1 | no | — |
| 133 | #87771 | — | 2 | 1 | no | — |
| 134 | #87769 | — | 2 | 1 | no | — |
| 135 | #87769 | — | 2 | 1 | no | — |
| 136 | #87769 | — | 2 | 1 | no | — |
| 137 | #87769 | — | 2 | 1 | no | — |
| 138 | #87769 | D4 | 1 | 1 | yes | characteristic |
| 139 | #87769 | D4 | 1 | 1 | yes | characteristic |
| 140 | #87769 | D4 | 1 | 1 | yes | characteristic |
| 141 | #87769 | D4 | 1 | 1 | yes | characteristic |
| 142 | #87767 | — | 2 | 1 | no | — |
| 143 | #87767 | — | 2 | 1 | no | — |
| 144 | #87767 | — | 2 | 1 | no | — |
| 145 | #87767 | — | 2 | 1 | no | — |
| 146 | #66111 | — | 5 | 1 | no | — |
| 147 | #66107 | — | 5 | 1 | no | — |
| 148 | D5×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 149 | D5×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 150 | D5×AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 151 | C2×#4060 | — | 5 | 1 | no | — |
| 152 | C2×#4057 | — | 5 | 1 | no | — |
| 153 | #66084 | — | 5 | 1 | no | — |
| 154 | #66084 | — | 5 | 1 | no | — |
| 155 | C5×#472 | — | 5 | 1 | no | — |
| 156 | C5×#471 | — | 5 | 1 | no | — |
| 157 | #65492 | — | 5 | 1 | no | — |
| 158 | #65489 | D5 | 1 | 1 | yes | characteristic, complemented |
| 159 | #65488 | — | 5 | 1 | no | — |
| 160 | #65488 | D5 | 1 | 1 | yes | characteristic, complemented |
| 161 | #65466 | — | 5 | 1 | no | — |
| 162 | #65449 | — | 5 | 1 | no | — |
| 163 | #65431 | — | 5 | 1 | no | — |
| 164 | #65430 | — | 5 | 1 | no | — |
| 165 | #65187 | — | 5 | 1 | no | — |
| 166 | #65186 | — | 5 | 1 | no | — |
| 167 | #65182 | — | 5 | 1 | no | — |
| 168 | #65182 | — | 5 | 1 | no | — |
| 169 | #65043 | — | 5 | 1 | no | — |
| 170 | #65040 | — | 5 | 1 | no | — |
| 171 | #65038 | — | 5 | 1 | no | — |
| 172 | #65038 | — | 5 | 1 | no | — |
| 173 | #65037 | — | 5 | 1 | no | — |
| 174 | #65034 | — | 5 | 1 | no | — |
| 175 | D5×#100 | — | 5 | 1 | no | — |
| 176 | D5×#100 | — | 5 | 1 | no | — |
| 177 | C23×C52 | — | 2 | 1 | no | — |
| 178 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 179 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 180 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 181 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 182 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 183 | C22×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 184 | C22×C5×D5 | — | 2 | 1 | no | — |
| 185 | C52×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C52×D4 | — | 2 | 1 | no | — |
| 187 | C52×D4 | — | 2 | 1 | no | — |
| 188 | C52×D4 | — | 2 | 1 | no | — |
| 189 | C52×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×C4×C52 | — | 2 | 1 | no | — |
| 191 | C2×C4×C52 | C24 | 1 | 1 | yes | characteristic |
| 192 | C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 193 | C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 194 | C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 195 | C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 196 | C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 197 | C2×#1039 | — | 2 | 1 | no | — |
| 198 | C2×#1039 | #41 | 1 | 1 | yes | characteristic |
| 199 | C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 200 | C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 201 | C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 202 | C4⋊(C5⋊D5) | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C4×C5⋊D5 | — | 2 | 1 | no | — |
| 204 | C4×C5⋊D5 | — | 2 | 1 | no | — |
| 205 | C4×C5⋊D5 | — | 2 | 1 | no | — |
| 206 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | #6045 | — | 2 | 1 | no | — |
| 211 | #6045 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×C5×Dic5 | — | 2 | 1 | no | — |
| 213 | C5×D20 | — | 2 | 1 | no | — |
| 214 | C5×D20 | — | 2 | 1 | no | — |
| 215 | C5×Dic10 | — | 2 | 1 | no | — |
| 216 | C5×Dic10 | — | 2 | 1 | no | — |
| 217 | #6038 | — | 4 | 1 | no | — |
| 218 | #6038 | — | 4 | 1 | no | — |
| 219 | D5×Dic5 | — | 4 | 1 | no | — |
| 220 | D5×Dic5 | — | 4 | 1 | no | — |
| 221 | C52×C8 | — | 2 | 1 | no | — |
| 222 | #6029 | — | 2 | 1 | no | — |
| 223 | C5×#168 | — | 2 | 1 | no | — |
| 224 | C5×#168 | — | 2 | 1 | no | — |
| 225 | C5×#168 | — | 2 | 1 | no | — |
| 226 | C5×#168 | — | 2 | 1 | no | — |
| 227 | C5×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C5×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | C5×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C5×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | D5×#41 | — | 5 | 1 | no | — |
| 232 | D5×#41 | — | 5 | 1 | no | — |
| 233 | D5×#41 | — | 10 | 2 | no | — |
| 234 | C2×#713 | — | 5 | 1 | no | — |
| 235 | C2×#711 | — | 5 | 1 | no | — |
| 236 | C2×D4×D5 | — | 5 | 1 | no | — |
| 237 | C2×D4×D5 | — | 5 | 1 | no | — |
| 238 | C2×D4×D5 | — | 10 | 2 | no | — |
| 239 | C5×#137 | — | 5 | 1 | no | — |
| 240 | C5×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 241 | C5×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 242 | C5×AGL(1,ℤ/8) | C2×D5 | 1 | 1 | yes | characteristic |
| 243 | C5×AGL(1,ℤ/8) | C2×D5 | 1 | 1 | yes | characteristic |
| 244 | C2×C5×SD16 | — | 5 | 1 | no | — |
| 245 | C2×C5×D8 | — | 5 | 1 | no | — |
| 246 | C5×#131 | — | 5 | 1 | no | — |
| 247 | C5×#131 | — | 5 | 1 | no | — |
| 248 | #4097 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 249 | #4095 | — | 5 | 1 | no | — |
| 250 | #4095 | — | 5 | 1 | no | — |
| 251 | #4095 | — | 10 | 2 | no | — |
| 252 | #4095 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 253 | #4094 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 254 | #4094 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 255 | #4088 | — | 5 | 1 | no | — |
| 256 | C2×#688 | — | 5 | 1 | no | — |
| 257 | C2×#687 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 258 | #4078 | — | 5 | 1 | no | — |
| 259 | #4078 | — | 5 | 1 | no | — |
| 260 | #4078 | — | 5 | 1 | no | — |
| 261 | #4078 | — | 10 | 2 | no | — |
| 262 | C2×#686 | — | 5 | 1 | no | — |
| 263 | C2×#686 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 264 | #4065 | — | 10 | 1 | no | — |
| 265 | #4064 | — | 10 | 1 | no | — |
| 266 | #4062 | — | 10 | 1 | no | — |
| 267 | #4062 | — | 10 | 1 | no | — |
| 268 | #4061 | — | 10 | 1 | no | — |
| 269 | #4060 | — | 10 | 1 | no | — |
| 270 | #4060 | — | 10 | 1 | no | — |
| 271 | #4060 | — | 10 | 1 | no | — |
| 272 | #4060 | — | 10 | 1 | no | — |
| 273 | #4060 | — | 10 | 1 | no | — |
| 274 | #4060 | — | 10 | 1 | no | — |
| 275 | #4060 | — | 10 | 1 | no | — |
| 276 | #4060 | — | 10 | 4 | no | — |
| 277 | D5×SD16 | — | 10 | 1 | no | — |
| 278 | D5×SD16 | — | 10 | 1 | no | — |
| 279 | D5×SD16 | — | 10 | 4 | no | — |
| 280 | #4058 | — | 10 | 1 | no | — |
| 281 | #4057 | — | 10 | 1 | no | — |
| 282 | #4057 | — | 10 | 1 | no | — |
| 283 | #4057 | — | 10 | 1 | no | — |
| 284 | #4057 | — | 10 | 1 | no | — |
| 285 | #4057 | — | 10 | 1 | no | — |
| 286 | #4057 | — | 10 | 1 | no | — |
| 287 | #4057 | — | 10 | 1 | no | — |
| 288 | #4057 | — | 10 | 4 | no | — |
| 289 | D5×D8 | — | 10 | 1 | no | — |
| 290 | D5×D8 | — | 10 | 1 | no | — |
| 291 | D5×D8 | — | 10 | 4 | no | — |
| 292 | #4055 | — | 5 | 1 | no | — |
| 293 | #4054 | — | 5 | 1 | no | — |
| 294 | #4054 | — | 5 | 1 | no | — |
| 295 | #4054 | — | 5 | 1 | no | — |
| 296 | #4054 | — | 10 | 2 | no | — |
| 297 | #4053 | — | 5 | 1 | no | — |
| 298 | #4053 | — | 5 | 1 | no | — |
| 299 | #4053 | — | 10 | 1 | no | — |
| 300 | #4053 | — | 10 | 1 | no | — |
| 301 | D5×M16 | — | 5 | 1 | no | — |
| 302 | D5×M16 | — | 5 | 1 | no | — |
| 303 | D5×M16 | — | 5 | 1 | no | — |
| 304 | D5×M16 | — | 5 | 1 | no | — |
| 305 | D5×M16 | — | 5 | 1 | no | — |
| 306 | D5×M16 | — | 5 | 1 | no | — |
| 307 | D5×M16 | — | 10 | 2 | no | — |
| 308 | D5×M16 | — | 10 | 1 | no | — |
| 309 | D5×M16 | — | 10 | 1 | no | — |
| 310 | C2×D40 | — | 5 | 1 | no | — |
| 311 | C2×#677 | — | 5 | 1 | no | — |
| 312 | #4047 | — | 5 | 1 | no | — |
| 313 | #4047 | — | 5 | 1 | no | — |
| 314 | #4047 | — | 10 | 1 | no | — |
| 315 | #4047 | — | 10 | 1 | no | — |
| 316 | C2×#676 | — | 5 | 1 | no | — |
| 317 | C2×#676 | — | 5 | 1 | no | — |
| 318 | C2×#676 | — | 10 | 1 | no | — |
| 319 | C2×#676 | — | 10 | 1 | no | — |
| 320 | C5×#108 | — | 5 | 1 | no | — |
| 321 | C5×#108 | — | 5 | 1 | no | — |
| 322 | C5×#101 | — | 5 | 1 | no | — |
| 323 | C5×#100 | — | 5 | 1 | no | — |
| 324 | C5×#100 | — | 5 | 1 | no | — |
| 325 | C5×#100 | — | 5 | 1 | no | — |
| 326 | #3968 | — | 5 | 1 | no | — |
| 327 | #3965 | — | 5 | 1 | no | — |
| 328 | #3965 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 329 | #3965 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 330 | #3956 | — | 5 | 1 | no | — |
| 331 | #3956 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 332 | #3955 | — | 5 | 1 | no | — |
| 333 | #3955 | — | 5 | 1 | no | — |
| 334 | #3955 | — | 5 | 1 | no | — |
| 335 | #3955 | — | 5 | 1 | no | — |
| 336 | #3955 | — | 5 | 1 | no | — |
| 337 | #3955 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 338 | #3954 | — | 5 | 1 | no | — |
| 339 | #3954 | — | 5 | 1 | no | — |
| 340 | #3954 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 341 | #3954 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 342 | #3951 | — | 5 | 1 | no | — |
| 343 | #3951 | — | 5 | 1 | no | — |
| 344 | #3068 | — | 25 | 1 | no | Sylow |
| 345 | C22×C52 | — | 2 | 1 | no | — |
| 346 | C22×C52 | — | 4 | 1 | no | — |
| 347 | C22×C52 | — | 8 | 1 | no | — |
| 348 | C22×C52 | C2×#41 | 1 | 1 | yes | characteristic |
| 349 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 350 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 351 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 352 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 353 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 354 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 355 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 356 | C2×C5⋊D5 | #121 | 1 | 1 | yes | characteristic |
| 357 | C2×C5⋊D5 | #121 | 1 | 1 | yes | characteristic |
| 358 | C2×C5×D5 | — | 4 | 1 | no | — |
| 359 | C2×C5×D5 | — | 8 | 1 | no | — |
| 360 | C4×C52 | — | 2 | 1 | no | — |
| 361 | C4×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | C4×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 363 | #1039 | — | 2 | 1 | no | — |
| 364 | #1039 | #121 | 1 | 1 | yes | characteristic |
| 365 | #1039 | #121 | 1 | 1 | yes | characteristic |
| 366 | C5×Dic5 | — | 4 | 1 | no | — |
| 367 | C23×D5 | — | 10 | 1 | no | — |
| 368 | C23×D5 | — | 10 | 1 | no | — |
| 369 | C23×D5 | — | 20 | 2 | no | — |
| 370 | C5×#41 | — | 2 | 2 | no | — |
| 371 | C5×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 372 | C5×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 373 | C2×C5×Q8 | — | 5 | 1 | no | — |
| 374 | C2×C5×D4 | — | 2 | 2 | no | — |
| 375 | C2×C5×D4 | — | 5 | 1 | no | — |
| 376 | C2×C5×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 377 | C2×C5×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 378 | C2×C22⋊D5 | — | 10 | 1 | no | — |
| 379 | C2×C22⋊D5 | — | 10 | 1 | no | — |
| 380 | C2×C22⋊D5 | — | 10 | 1 | no | — |
| 381 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 382 | C22×Dic5 | — | 10 | 1 | no | — |
| 383 | #713 | — | 5 | 1 | no | — |
| 384 | #713 | — | 5 | 1 | no | — |
| 385 | #713 | — | 10 | 2 | no | — |
| 386 | #713 | — | 10 | 1 | no | — |
| 387 | #713 | — | 10 | 1 | no | — |
| 388 | #713 | — | 10 | 1 | no | — |
| 389 | #713 | — | 10 | 1 | no | — |
| 390 | Q8×D5 | — | 5 | 1 | no | — |
| 391 | Q8×D5 | — | 5 | 1 | no | — |
| 392 | Q8×D5 | — | 10 | 2 | no | — |
| 393 | #711 | — | 5 | 1 | no | — |
| 394 | #711 | — | 5 | 1 | no | — |
| 395 | #711 | — | 10 | 2 | no | — |
| 396 | #711 | — | 10 | 1 | no | — |
| 397 | #711 | — | 10 | 1 | no | — |
| 398 | #711 | — | 10 | 1 | no | — |
| 399 | #711 | — | 10 | 1 | no | — |
| 400 | #711 | — | 10 | 1 | no | — |
| 401 | #711 | — | 10 | 1 | no | — |
| 402 | #711 | — | 20 | 2 | no | — |
| 403 | D4×D5 | — | 5 | 1 | no | — |
| 404 | D4×D5 | — | 5 | 1 | no | — |
| 405 | D4×D5 | — | 10 | 2 | no | — |
| 406 | D4×D5 | — | 10 | 1 | no | — |
| 407 | D4×D5 | — | 10 | 1 | no | — |
| 408 | D4×D5 | — | 10 | 1 | no | — |
| 409 | D4×D5 | — | 10 | 1 | no | — |
| 410 | D4×D5 | — | 10 | 1 | no | — |
| 411 | D4×D5 | — | 10 | 1 | no | — |
| 412 | D4×D5 | — | 10 | 1 | no | — |
| 413 | D4×D5 | — | 10 | 1 | no | — |
| 414 | D4×D5 | — | 10 | 1 | no | — |
| 415 | D4×D5 | — | 10 | 1 | no | — |
| 416 | D4×D5 | — | 10 | 4 | no | — |
| 417 | D4×D5 | — | 10 | 4 | no | — |
| 418 | D4×D5 | — | 20 | 2 | no | — |
| 419 | D4×D5 | — | 20 | 2 | no | — |
| 420 | D4×D5 | — | 20 | 2 | no | — |
| 421 | #709 | — | 5 | 1 | no | — |
| 422 | #709 | — | 5 | 1 | no | — |
| 423 | #709 | — | 10 | 2 | no | — |
| 424 | #709 | — | 10 | 1 | no | — |
| 425 | #709 | — | 10 | 1 | no | — |
| 426 | #709 | — | 20 | 2 | no | — |
| 427 | C2×D20 | — | 5 | 1 | no | — |
| 428 | C2×D20 | — | 5 | 1 | no | — |
| 429 | C2×D20 | — | 10 | 2 | no | — |
| 430 | C2×D20 | — | 10 | 1 | no | — |
| 431 | C2×D20 | C22×D5 | 1 | 1 | yes | characteristic |
| 432 | C2×C4×D5 | — | 5 | 1 | no | — |
| 433 | C2×C4×D5 | — | 5 | 1 | no | — |
| 434 | C2×C4×D5 | — | 10 | 2 | no | — |
| 435 | C2×C4×D5 | — | 10 | 1 | no | — |
| 436 | C2×C4×D5 | — | 10 | 1 | no | — |
| 437 | C2×C4×D5 | — | 10 | 1 | no | — |
| 438 | C2×C4×D5 | — | 20 | 2 | no | — |
| 439 | C2×Dic10 | C22×D5 | 1 | 1 | yes | characteristic |
| 440 | C5×Q16 | — | 10 | 1 | no | — |
| 441 | C5×SD16 | — | 2 | 4 | no | — |
| 442 | C5×SD16 | — | 2 | 1 | no | — |
| 443 | C5×SD16 | — | 2 | 1 | no | — |
| 444 | C5×SD16 | — | 10 | 1 | no | — |
| 445 | C5×SD16 | — | 10 | 1 | no | — |
| 446 | C5×SD16 | — | 10 | 1 | no | — |
| 447 | C5×SD16 | — | 10 | 1 | no | — |
| 448 | C5×D8 | — | 2 | 4 | no | — |
| 449 | C5×D8 | — | 2 | 1 | no | — |
| 450 | C5×D8 | — | 2 | 1 | no | — |
| 451 | C5×D8 | — | 10 | 1 | no | — |
| 452 | C5×D8 | — | 10 | 1 | no | — |
| 453 | C5×D8 | — | 10 | 1 | no | — |
| 454 | C5×M16 | — | 2 | 2 | no | — |
| 455 | C5×M16 | — | 5 | 1 | no | — |
| 456 | C5×M16 | — | 5 | 1 | no | — |
| 457 | C5×M16 | — | 5 | 1 | no | — |
| 458 | C5×M16 | — | 5 | 1 | no | — |
| 459 | C5×M16 | — | 10 | 1 | no | — |
| 460 | C5×M16 | — | 10 | 1 | no | — |
| 461 | C5×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 462 | C5×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 463 | C2×C5×C8 | — | 5 | 1 | no | — |
| 464 | C2×C5×C8 | — | 5 | 1 | no | — |
| 465 | C2×C5×C8 | — | 10 | 1 | no | — |
| 466 | C2×C5×C8 | — | 10 | 1 | no | — |
| 467 | #689 | — | 2 | 1 | no | — |
| 468 | #689 | — | 10 | 1 | no | — |
| 469 | #688 | — | 2 | 1 | no | — |
| 470 | #688 | — | 10 | 1 | no | — |
| 471 | #688 | — | 10 | 4 | no | — |
| 472 | #688 | — | 10 | 1 | no | — |
| 473 | #688 | — | 10 | 1 | no | — |
| 474 | #688 | — | 10 | 1 | no | — |
| 475 | #688 | — | 10 | 1 | no | — |
| 476 | #687 | — | 2 | 1 | no | — |
| 477 | #687 | — | 2 | 1 | no | — |
| 478 | #687 | — | 2 | 1 | no | — |
| 479 | #687 | — | 10 | 1 | no | — |
| 480 | #687 | — | 10 | 1 | no | — |
| 481 | #687 | — | 10 | 1 | no | — |
| 482 | #687 | — | 10 | 4 | no | — |
| 483 | #686 | — | 2 | 1 | no | — |
| 484 | #686 | — | 2 | 1 | no | — |
| 485 | #686 | — | 2 | 1 | no | — |
| 486 | #686 | — | 10 | 1 | no | — |
| 487 | #686 | — | 10 | 1 | no | — |
| 488 | #686 | — | 10 | 1 | no | — |
| 489 | #686 | — | 10 | 4 | no | — |
| 490 | #686 | — | 10 | 4 | no | — |
| 491 | #686 | — | 10 | 1 | no | — |
| 492 | #686 | — | 10 | 1 | no | — |
| 493 | #686 | — | 10 | 1 | no | — |
| 494 | #686 | — | 10 | 1 | no | — |
| 495 | #681 | — | 2 | 1 | no | — |
| 496 | #681 | — | 2 | 1 | no | — |
| 497 | #681 | — | 5 | 1 | no | — |
| 498 | #681 | — | 5 | 1 | no | — |
| 499 | #681 | — | 10 | 2 | no | — |
| 500 | #681 | C22×D5 | 1 | 1 | yes | characteristic |
| 501 | #681 | C22×D5 | 1 | 1 | yes | characteristic |
| 502 | #681 | C22×D5 | 1 | 1 | yes | characteristic |
| 503 | #681 | C22×D5 | 1 | 1 | yes | characteristic |
| 504 | C2×#168 | — | 2 | 1 | no | — |
| 505 | C2×#168 | — | 2 | 1 | no | — |
| 506 | C2×#168 | C22×D5 | 1 | 1 | yes | characteristic |
| 507 | C2×#168 | C22×D5 | 1 | 1 | yes | characteristic |
| 508 | Dic20 | — | 10 | 1 | no | — |
| 509 | D40 | — | 10 | 1 | no | — |
| 510 | D40 | — | 10 | 1 | no | — |
| 511 | D40 | — | 10 | 4 | no | — |
| 512 | D40 | — | 10 | 1 | no | — |
| 513 | D40 | — | 10 | 1 | no | — |
| 514 | D40 | — | 10 | 1 | no | — |
| 515 | #677 | — | 10 | 1 | no | — |
| 516 | #677 | — | 10 | 1 | no | — |
| 517 | #677 | — | 10 | 4 | no | — |
| 518 | #677 | — | 10 | 1 | no | — |
| 519 | #677 | — | 10 | 1 | no | — |
| 520 | #677 | — | 10 | 1 | no | — |
| 521 | #677 | — | 10 | 1 | no | — |
| 522 | #676 | — | 5 | 1 | no | — |
| 523 | #676 | — | 5 | 1 | no | — |
| 524 | #676 | — | 5 | 1 | no | — |
| 525 | #676 | — | 5 | 1 | no | — |
| 526 | #676 | — | 5 | 1 | no | — |
| 527 | #676 | — | 5 | 1 | no | — |
| 528 | #676 | — | 5 | 1 | no | — |
| 529 | #676 | — | 5 | 1 | no | — |
| 530 | #676 | — | 10 | 1 | no | — |
| 531 | #676 | — | 10 | 1 | no | — |
| 532 | #676 | — | 10 | 1 | no | — |
| 533 | #676 | — | 10 | 1 | no | — |
| 534 | #676 | — | 10 | 1 | no | — |
| 535 | #676 | — | 10 | 1 | no | — |
| 536 | #676 | — | 10 | 1 | no | — |
| 537 | #676 | — | 10 | 1 | no | — |
| 538 | #676 | — | 10 | 4 | no | — |
| 539 | #676 | — | 10 | 1 | no | — |
| 540 | #676 | — | 10 | 1 | no | — |
| 541 | C8×D5 | — | 10 | 1 | no | — |
| 542 | C8×D5 | — | 10 | 1 | no | — |
| 543 | C8×D5 | — | 10 | 1 | no | — |
| 544 | C8×D5 | — | 10 | 1 | no | — |
| 545 | C8×D5 | — | 10 | 1 | no | — |
| 546 | C8×D5 | — | 10 | 1 | no | — |
| 547 | C8×D5 | — | 10 | 1 | no | — |
| 548 | C8×D5 | — | 10 | 1 | no | — |
| 549 | C8×D5 | — | 10 | 4 | no | — |
| 550 | C8×D5 | — | 10 | 1 | no | — |
| 551 | C8×D5 | — | 10 | 1 | no | — |
| 552 | #575 | — | 25 | 1 | no | — |
| 553 | C2×AGL(1,ℤ/8) | — | 25 | 1 | no | — |
| 554 | C2×AGL(1,ℤ/8) | — | 25 | 1 | no | — |
| 555 | #568 | — | 25 | 1 | no | — |
| 556 | #472 | — | 5 | 1 | no | — |
| 557 | #472 | — | 25 | 1 | no | — |
| 558 | #472 | — | 25 | 1 | no | — |
| 559 | #472 | — | 25 | 1 | no | — |
| 560 | #471 | — | 5 | 1 | no | — |
| 561 | #471 | — | 25 | 1 | no | — |
| 562 | #471 | — | 25 | 1 | no | — |
| 563 | #471 | — | 25 | 1 | no | — |
| 564 | #430 | — | 25 | 1 | no | — |
| 565 | #413 | — | 25 | 1 | no | — |
| 566 | C2×#100 | — | 25 | 1 | no | — |
| 567 | C2×C52 | — | 2 | 1 | no | — |
| 568 | C2×C52 | — | 4 | 1 | no | — |
| 569 | C2×C52 | — | 8 | 1 | no | — |
| 570 | C2×C52 | C2×#121 | 1 | 1 | yes | characteristic |
| 571 | C5⋊D5 | — | 2 | 1 | no | — |
| 572 | C5⋊D5 | — | 2 | 1 | no | — |
| 573 | C5⋊D5 | — | 4 | 1 | no | — |
| 574 | C5⋊D5 | — | 8 | 1 | no | — |
| 575 | C5×D5 | — | 8 | 1 | no | — |
| 576 | C23×C5 | — | 2 | 1 | no | — |
| 577 | C23×C5 | — | 2 | 1 | no | — |
| 578 | C23×C5 | — | 4 | 2 | no | — |
| 579 | C23×C5 | — | 10 | 1 | no | — |
| 580 | C22×D5 | — | 2 | 1 | no | — |
| 581 | C22×D5 | — | 5 | 1 | no | — |
| 582 | C22×D5 | — | 5 | 1 | no | — |
| 583 | C22×D5 | — | 10 | 2 | no | — |
| 584 | C22×D5 | — | 10 | 1 | no | — |
| 585 | C22×D5 | — | 10 | 1 | no | — |
| 586 | C22×D5 | — | 10 | 1 | no | — |
| 587 | C22×D5 | — | 10 | 1 | no | — |
| 588 | C22×D5 | — | 20 | 2 | no | — |
| 589 | C22×D5 | — | 20 | 2 | no | — |
| 590 | C22×D5 | — | 20 | 1 | no | — |
| 591 | C22×D5 | — | 20 | 1 | no | — |
| 592 | C22×D5 | — | 20 | 1 | no | — |
| 593 | C22×D5 | — | 20 | 1 | no | — |
| 594 | C22×D5 | — | 20 | 4 | no | — |
| 595 | C22×D5 | — | 20 | 4 | no | — |
| 596 | C22×D5 | — | 40 | 8 | no | — |
| 597 | C22×D5 | — | 40 | 2 | no | — |
| 598 | C22×D5 | — | 40 | 2 | no | — |
| 599 | C5×Q8 | — | 2 | 2 | no | — |
| 600 | C5×Q8 | — | 10 | 1 | no | — |
| 601 | C5×Q8 | — | 10 | 1 | no | — |
| 602 | C5×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 603 | C5×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 604 | C5×D4 | — | 2 | 1 | no | — |
| 605 | C5×D4 | — | 2 | 1 | no | — |
| 606 | C5×D4 | — | 2 | 4 | no | — |
| 607 | C5×D4 | — | 2 | 1 | no | — |
| 608 | C5×D4 | — | 2 | 1 | no | — |
| 609 | C5×D4 | — | 2 | 1 | no | — |
| 610 | C5×D4 | — | 2 | 1 | no | — |
| 611 | C5×D4 | — | 2 | 2 | no | — |
| 612 | C5×D4 | — | 4 | 2 | no | — |
| 613 | C5×D4 | — | 4 | 2 | no | — |
| 614 | C5×D4 | — | 10 | 1 | no | — |
| 615 | C5×D4 | — | 10 | 1 | no | — |
| 616 | C5×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 617 | C5×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 618 | C2×C4×C5 | — | 2 | 1 | no | — |
| 619 | C2×C4×C5 | — | 2 | 1 | no | — |
| 620 | C2×C4×C5 | — | 2 | 2 | no | — |
| 621 | C2×C4×C5 | — | 4 | 2 | no | — |
| 622 | C2×C4×C5 | — | 10 | 1 | no | — |
| 623 | C2×C4×C5 | C23×D5 | 1 | 1 | yes | characteristic |
| 624 | C2×C4×C5 | C23×D5 | 1 | 1 | yes | characteristic |
| 625 | C22⋊D5 | — | 10 | 1 | no | — |
| 626 | C22⋊D5 | — | 10 | 1 | no | — |
| 627 | C22⋊D5 | — | 10 | 1 | no | — |
| 628 | C22⋊D5 | — | 10 | 1 | no | — |
| 629 | C22⋊D5 | — | 10 | 1 | no | — |
| 630 | C22⋊D5 | — | 10 | 1 | no | — |
| 631 | C22⋊D5 | — | 20 | 2 | no | — |
| 632 | C22⋊D5 | — | 20 | 2 | no | — |
| 633 | C22⋊D5 | — | 20 | 2 | no | — |
| 634 | C22⋊D5 | — | 20 | 1 | no | — |
| 635 | C22⋊D5 | — | 20 | 1 | no | — |
| 636 | C22⋊D5 | — | 20 | 1 | no | — |
| 637 | C22⋊D5 | — | 20 | 1 | no | — |
| 638 | C22⋊D5 | — | 20 | 1 | no | — |
| 639 | C22⋊D5 | — | 20 | 1 | no | — |
| 640 | C22⋊D5 | — | 20 | 4 | no | — |
| 641 | C22⋊D5 | — | 20 | 4 | no | — |
| 642 | C2×Dic5 | — | 2 | 1 | no | — |
| 643 | C2×Dic5 | — | 5 | 1 | no | — |
| 644 | C2×Dic5 | — | 5 | 1 | no | — |
| 645 | C2×Dic5 | — | 10 | 2 | no | — |
| 646 | C2×Dic5 | — | 10 | 1 | no | — |
| 647 | C2×Dic5 | — | 10 | 1 | no | — |
| 648 | C2×Dic5 | — | 20 | 2 | no | — |
| 649 | C2×Dic5 | — | 20 | 1 | no | — |
| 650 | C2×Dic5 | — | 20 | 1 | no | — |
| 651 | D20 | — | 2 | 1 | no | — |
| 652 | D20 | — | 2 | 1 | no | — |
| 653 | D20 | — | 5 | 1 | no | — |
| 654 | D20 | — | 5 | 1 | no | — |
| 655 | D20 | — | 10 | 2 | no | — |
| 656 | D20 | — | 10 | 1 | no | — |
| 657 | D20 | — | 10 | 1 | no | — |
| 658 | D20 | — | 10 | 4 | no | — |
| 659 | D20 | — | 10 | 1 | no | — |
| 660 | D20 | — | 10 | 1 | no | — |
| 661 | D20 | — | 10 | 1 | no | — |
| 662 | D20 | — | 10 | 1 | no | — |
| 663 | D20 | — | 20 | 2 | no | — |
| 664 | D20 | — | 20 | 2 | no | — |
| 665 | D20 | — | 20 | 1 | no | — |
| 666 | D20 | — | 20 | 1 | no | — |
| 667 | C4×D5 | — | 5 | 1 | no | — |
| 668 | C4×D5 | — | 5 | 1 | no | — |
| 669 | C4×D5 | — | 5 | 1 | no | — |
| 670 | C4×D5 | — | 5 | 1 | no | — |
| 671 | C4×D5 | — | 5 | 1 | no | — |
| 672 | C4×D5 | — | 5 | 1 | no | — |
| 673 | C4×D5 | — | 5 | 1 | no | — |
| 674 | C4×D5 | — | 5 | 1 | no | — |
| 675 | C4×D5 | — | 10 | 2 | no | — |
| 676 | C4×D5 | — | 10 | 2 | no | — |
| 677 | C4×D5 | — | 10 | 2 | no | — |
| 678 | C4×D5 | — | 10 | 2 | no | — |
| 679 | C4×D5 | — | 10 | 1 | no | — |
| 680 | C4×D5 | — | 10 | 1 | no | — |
| 681 | C4×D5 | — | 10 | 1 | no | — |
| 682 | C4×D5 | — | 10 | 1 | no | — |
| 683 | C4×D5 | — | 10 | 1 | no | — |
| 684 | C4×D5 | — | 10 | 1 | no | — |
| 685 | C4×D5 | — | 20 | 2 | no | — |
| 686 | C4×D5 | — | 20 | 2 | no | — |
| 687 | C4×D5 | — | 20 | 2 | no | — |
| 688 | C4×D5 | — | 20 | 1 | no | — |
| 689 | C4×D5 | — | 20 | 1 | no | — |
| 690 | Dic10 | — | 2 | 1 | no | — |
| 691 | Dic10 | — | 2 | 1 | no | — |
| 692 | Dic10 | — | 5 | 1 | no | — |
| 693 | Dic10 | — | 5 | 1 | no | — |
| 694 | Dic10 | — | 10 | 2 | no | — |
| 695 | Dic10 | — | 10 | 1 | no | — |
| 696 | Dic10 | — | 10 | 1 | no | — |
| 697 | Dic10 | — | 20 | 2 | no | — |
| 698 | C5×C8 | — | 2 | 4 | no | — |
| 699 | C5×C8 | — | 2 | 1 | no | — |
| 700 | C5×C8 | — | 2 | 1 | no | — |
| 701 | C5×C8 | — | 5 | 1 | no | — |
| 702 | C5×C8 | — | 5 | 1 | no | — |
| 703 | C5×C8 | — | 5 | 1 | no | — |
| 704 | C5×C8 | — | 5 | 1 | no | — |
| 705 | C5×C8 | — | 10 | 1 | no | — |
| 706 | C5×C8 | — | 10 | 1 | no | — |
| 707 | C5×C8 | — | 10 | 1 | no | — |
| 708 | C5×C8 | — | 10 | 1 | no | — |
| 709 | #168 | — | 2 | 1 | no | — |
| 710 | #168 | — | 2 | 1 | no | — |
| 711 | #168 | — | 2 | 1 | no | — |
| 712 | #168 | — | 2 | 1 | no | — |
| 713 | #168 | — | 10 | 4 | no | — |
| 714 | #168 | — | 10 | 1 | no | — |
| 715 | #168 | — | 10 | 1 | no | — |
| 716 | #168 | D4×D5 | 1 | 1 | yes | characteristic |
| 717 | #168 | D4×D5 | 1 | 1 | yes | characteristic |
| 718 | #168 | D4×D5 | 1 | 1 | yes | characteristic |
| 719 | #168 | D4×D5 | 1 | 1 | yes | characteristic |
| 720 | C2×#41 | — | 25 | 1 | no | — |
| 721 | C2×#41 | — | 25 | 1 | no | — |
| 722 | C22×D4 | — | 25 | 1 | no | — |
| 723 | #137 | — | 5 | 1 | no | — |
| 724 | #137 | — | 25 | 1 | no | — |
| 725 | #137 | — | 50 | 1 | no | — |
| 726 | AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 727 | AGL(1,ℤ/8) | — | 25 | 1 | no | — |
| 728 | AGL(1,ℤ/8) | — | 25 | 1 | no | — |
| 729 | AGL(1,ℤ/8) | — | 25 | 1 | no | — |
| 730 | AGL(1,ℤ/8) | — | 25 | 1 | no | — |
| 731 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 732 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 733 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 734 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 735 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 736 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 737 | AGL(1,ℤ/8) | — | 50 | 1 | no | — |
| 738 | AGL(1,ℤ/8) | D52 | 1 | 1 | yes | characteristic |
| 739 | #135 | — | 50 | 1 | no | — |
| 740 | #135 | — | 50 | 1 | no | — |
| 741 | C2×SD16 | — | 5 | 1 | no | — |
| 742 | C2×SD16 | — | 25 | 1 | no | — |
| 743 | C2×SD16 | — | 50 | 1 | no | — |
| 744 | C2×D8 | — | 5 | 1 | no | — |
| 745 | C2×D8 | — | 25 | 1 | no | — |
| 746 | C2×D8 | — | 50 | 1 | no | — |
| 747 | #131 | — | 5 | 1 | no | — |
| 748 | #131 | — | 5 | 1 | no | — |
| 749 | #131 | — | 25 | 1 | no | — |
| 750 | #131 | — | 25 | 1 | no | — |
| 751 | #131 | — | 50 | 1 | no | — |
| 752 | #131 | — | 50 | 1 | no | — |
| 753 | C2×M16 | — | 25 | 1 | no | — |
| 754 | C2×M16 | — | 25 | 1 | no | — |
| 755 | C2×M16 | — | 25 | 1 | no | — |
| 756 | C2×M16 | — | 25 | 1 | no | — |
| 757 | C2×M16 | — | 50 | 1 | no | — |
| 758 | C2×M16 | — | 50 | 1 | no | — |
| 759 | #108 | — | 5 | 1 | no | — |
| 760 | #108 | — | 5 | 1 | no | — |
| 761 | #108 | — | 25 | 1 | no | — |
| 762 | #108 | — | 25 | 1 | no | — |
| 763 | #101 | — | 5 | 1 | no | — |
| 764 | #101 | — | 25 | 1 | no | — |
| 765 | #100 | — | 5 | 1 | no | — |
| 766 | #100 | — | 5 | 1 | no | — |
| 767 | #100 | — | 5 | 1 | no | — |
| 768 | #100 | — | 25 | 1 | no | — |
| 769 | #100 | — | 25 | 1 | no | — |
| 770 | #100 | — | 25 | 1 | no | — |
| 771 | C52 | #3068 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 772 | C22×C5 | — | 2 | 1 | no | — |
| 773 | C22×C5 | — | 2 | 1 | no | — |
| 774 | C22×C5 | — | 2 | 2 | no | — |
| 775 | C22×C5 | — | 4 | 2 | no | — |
| 776 | C22×C5 | — | 4 | 4 | no | — |
| 777 | C22×C5 | — | 4 | 1 | no | — |
| 778 | C22×C5 | — | 4 | 1 | no | — |
| 779 | C22×C5 | — | 8 | 1 | no | — |
| 780 | C22×C5 | — | 8 | 1 | no | — |
| 781 | C22×C5 | — | 8 | 4 | no | — |
| 782 | C22×C5 | — | 20 | 1 | no | — |
| 783 | C22×C5 | — | 40 | 1 | no | — |
| 784 | C22×C5 | D5×#41 | 1 | 1 | yes | characteristic |
| 785 | C22×C5 | D5×#41 | 1 | 1 | yes | characteristic |
| 786 | C2×D5 | — | 4 | 1 | no | — |
| 787 | C2×D5 | — | 5 | 1 | no | — |
| 788 | C2×D5 | — | 5 | 1 | no | — |
| 789 | C2×D5 | — | 5 | 1 | no | — |
| 790 | C2×D5 | — | 5 | 1 | no | — |
| 791 | C2×D5 | — | 8 | 1 | no | — |
| 792 | C2×D5 | — | 10 | 2 | no | — |
| 793 | C2×D5 | — | 10 | 2 | no | — |
| 794 | C2×D5 | — | 10 | 1 | no | — |
| 795 | C2×D5 | — | 10 | 1 | no | — |
| 796 | C2×D5 | — | 20 | 2 | no | — |
| 797 | C2×D5 | — | 20 | 1 | no | — |
| 798 | C2×D5 | — | 20 | 1 | no | — |
| 799 | C2×D5 | — | 20 | 4 | no | — |
| 800 | C2×D5 | — | 20 | 4 | no | — |
| 801 | C2×D5 | — | 20 | 1 | no | — |
| 802 | C2×D5 | — | 20 | 1 | no | — |
| 803 | C2×D5 | — | 40 | 1 | no | — |
| 804 | C2×D5 | — | 40 | 1 | no | — |
| 805 | C2×D5 | — | 40 | 4 | no | — |
| 806 | C2×D5 | — | 40 | 2 | no | — |
| 807 | C2×D5 | — | 40 | 2 | no | — |
| 808 | C2×D5 | — | 40 | 8 | no | — |
| 809 | C2×D5 | — | 40 | 2 | no | — |
| 810 | C2×D5 | — | 40 | 2 | no | — |
| 811 | C2×D5 | — | 40 | 8 | no | — |
| 812 | C2×D5 | — | 40 | 4 | no | — |
| 813 | C2×D5 | — | 40 | 1 | no | — |
| 814 | C2×D5 | — | 40 | 1 | no | — |
| 815 | C4×C5 | — | 2 | 1 | no | — |
| 816 | C4×C5 | — | 2 | 1 | no | — |
| 817 | C4×C5 | — | 2 | 2 | no | — |
| 818 | C4×C5 | — | 2 | 2 | no | — |
| 819 | C4×C5 | — | 4 | 2 | no | — |
| 820 | C4×C5 | — | 20 | 1 | no | — |
| 821 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 822 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 823 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 824 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 825 | Dic5 | — | 4 | 1 | no | — |
| 826 | Dic5 | — | 5 | 1 | no | — |
| 827 | Dic5 | — | 5 | 1 | no | — |
| 828 | Dic5 | — | 5 | 1 | no | — |
| 829 | Dic5 | — | 5 | 1 | no | — |
| 830 | Dic5 | — | 10 | 2 | no | — |
| 831 | Dic5 | — | 10 | 2 | no | — |
| 832 | Dic5 | — | 10 | 1 | no | — |
| 833 | Dic5 | — | 10 | 1 | no | — |
| 834 | Dic5 | — | 20 | 2 | no | — |
| 835 | C24 | — | 50 | 1 | no | — |
| 836 | #41 | — | 25 | 1 | no | — |
| 837 | #41 | — | 25 | 1 | no | — |
| 838 | #41 | — | 25 | 1 | no | — |
| 839 | #41 | — | 50 | 1 | no | — |
| 840 | #41 | — | 50 | 1 | no | — |
| 841 | #41 | — | 50 | 1 | no | — |
| 842 | #41 | — | 50 | 1 | no | — |
| 843 | #41 | — | 50 | 1 | no | — |
| 844 | #41 | — | 50 | 1 | no | — |
| 845 | #41 | C2×D52 | 1 | 1 | yes | characteristic |
| 846 | C2×Q8 | — | 5 | 1 | no | — |
| 847 | C2×Q8 | — | 25 | 1 | no | — |
| 848 | C2×D4 | — | 5 | 1 | no | — |
| 849 | C2×D4 | — | 25 | 1 | no | — |
| 850 | C2×D4 | — | 25 | 1 | no | — |
| 851 | C2×D4 | — | 50 | 1 | no | — |
| 852 | C2×D4 | — | 50 | 1 | no | — |
| 853 | C2×D4 | — | 50 | 1 | no | — |
| 854 | C2×D4 | — | 50 | 1 | no | — |
| 855 | C2×D4 | — | 50 | 1 | no | — |
| 856 | C2×D4 | — | 50 | 1 | no | — |
| 857 | C2×D4 | — | 50 | 1 | no | — |
| 858 | C2×D4 | C2×D52 | 1 | 1 | yes | characteristic |
| 859 | C22×C4 | — | 25 | 1 | no | — |
| 860 | C22×C4 | — | 50 | 1 | no | — |
| 861 | C22×C4 | — | 50 | 1 | no | — |
| 862 | Q16 | — | 10 | 1 | no | — |
| 863 | Q16 | — | 50 | 1 | no | — |
| 864 | SD16 | — | 2 | 1 | no | — |
| 865 | SD16 | — | 10 | 1 | no | — |
| 866 | SD16 | — | 10 | 1 | no | — |
| 867 | SD16 | — | 10 | 1 | no | — |
| 868 | SD16 | — | 10 | 1 | no | — |
| 869 | SD16 | — | 50 | 1 | no | — |
| 870 | SD16 | — | 50 | 1 | no | — |
| 871 | SD16 | — | 50 | 1 | no | — |
| 872 | SD16 | — | 50 | 1 | no | — |
| 873 | SD16 | — | 50 | 1 | no | — |
| 874 | SD16 | — | 50 | 1 | no | — |
| 875 | SD16 | — | 50 | 1 | no | — |
| 876 | D8 | — | 2 | 1 | no | — |
| 877 | D8 | — | 10 | 1 | no | — |
| 878 | D8 | — | 10 | 1 | no | — |
| 879 | D8 | — | 10 | 1 | no | — |
| 880 | D8 | — | 50 | 1 | no | — |
| 881 | D8 | — | 50 | 1 | no | — |
| 882 | D8 | — | 50 | 1 | no | — |
| 883 | D8 | — | 50 | 1 | no | — |
| 884 | D8 | — | 50 | 1 | no | — |
| 885 | D8 | — | 50 | 1 | no | — |
| 886 | M16 | — | 5 | 1 | no | — |
| 887 | M16 | — | 5 | 1 | no | — |
| 888 | M16 | — | 5 | 1 | no | — |
| 889 | M16 | — | 5 | 1 | no | — |
| 890 | M16 | — | 10 | 1 | no | — |
| 891 | M16 | — | 10 | 1 | no | — |
| 892 | M16 | — | 25 | 1 | no | — |
| 893 | M16 | — | 25 | 1 | no | — |
| 894 | M16 | — | 25 | 1 | no | — |
| 895 | M16 | — | 25 | 1 | no | — |
| 896 | M16 | — | 25 | 1 | no | — |
| 897 | M16 | — | 50 | 1 | no | — |
| 898 | M16 | — | 50 | 1 | no | — |
| 899 | M16 | — | 50 | 1 | no | — |
| 900 | M16 | — | 50 | 1 | no | — |
| 901 | M16 | — | 50 | 1 | no | — |
| 902 | M16 | C2×D52 | 1 | 1 | yes | characteristic |
| 903 | C2×C8 | — | 5 | 1 | no | — |
| 904 | C2×C8 | — | 5 | 1 | no | — |
| 905 | C2×C8 | — | 10 | 1 | no | — |
| 906 | C2×C8 | — | 10 | 1 | no | — |
| 907 | C2×C8 | — | 50 | 1 | no | — |
| 908 | C2×C8 | — | 50 | 1 | no | — |
| 909 | C2×C8 | — | 50 | 1 | no | — |
| 910 | C2×C8 | — | 50 | 1 | no | — |
| 911 | C2×C8 | — | 50 | 1 | no | — |
| 912 | C2×C5 | — | 2 | 1 | no | — |
| 913 | C2×C5 | — | 2 | 1 | no | — |
| 914 | C2×C5 | — | 2 | 2 | no | — |
| 915 | C2×C5 | — | 4 | 2 | no | — |
| 916 | C2×C5 | — | 4 | 1 | no | — |
| 917 | C2×C5 | — | 4 | 1 | no | — |
| 918 | C2×C5 | — | 8 | 2 | no | — |
| 919 | C2×C5 | — | 8 | 4 | no | — |
| 920 | C2×C5 | — | 8 | 1 | no | — |
| 921 | C2×C5 | — | 8 | 1 | no | — |
| 922 | C2×C5 | — | 40 | 1 | no | — |
| 923 | C2×C5 | D5×#121 | 1 | 1 | yes | characteristic |
| 924 | C2×C5 | D5×#121 | 1 | 1 | yes | characteristic |
| 925 | D5 | — | 8 | 1 | no | — |
| 926 | D5 | — | 10 | 4 | no | — |
| 927 | D5 | — | 10 | 1 | no | — |
| 928 | D5 | — | 10 | 1 | no | — |
| 929 | D5 | — | 10 | 1 | no | — |
| 930 | D5 | — | 10 | 1 | no | — |
| 931 | D5 | — | 20 | 2 | no | — |
| 932 | D5 | — | 20 | 1 | no | — |
| 933 | D5 | — | 20 | 1 | no | — |
| 934 | D5 | — | 40 | 2 | no | — |
| 935 | D5 | — | 40 | 4 | no | — |
| 936 | D5 | — | 40 | 1 | no | — |
| 937 | D5 | — | 40 | 1 | no | — |
| 938 | C23 | — | 2 | 1 | no | — |
| 939 | C23 | — | 10 | 1 | no | — |
| 940 | C23 | — | 25 | 1 | no | — |
| 941 | C23 | — | 50 | 1 | no | — |
| 942 | C23 | — | 50 | 1 | no | — |
| 943 | C23 | — | 100 | 1 | no | — |
| 944 | C23 | — | 100 | 1 | no | — |
| 945 | C23 | — | 200 | 2 | no | — |
| 946 | Q8 | — | 10 | 1 | no | — |
| 947 | Q8 | — | 10 | 1 | no | — |
| 948 | Q8 | — | 25 | 1 | no | — |
| 949 | Q8 | — | 50 | 1 | no | — |
| 950 | Q8 | #87886 | 1 | 1 | yes | characteristic |
| 951 | D4 | — | 2 | 1 | no | — |
| 952 | D4 | — | 2 | 1 | no | — |
| 953 | D4 | — | 2 | 1 | no | — |
| 954 | D4 | — | 10 | 1 | no | — |
| 955 | D4 | — | 10 | 1 | no | — |
| 956 | D4 | — | 25 | 1 | no | — |
| 957 | D4 | — | 50 | 1 | no | — |
| 958 | D4 | — | 50 | 1 | no | — |
| 959 | D4 | — | 50 | 1 | no | — |
| 960 | D4 | — | 50 | 1 | no | — |
| 961 | D4 | — | 50 | 1 | no | — |
| 962 | D4 | — | 50 | 1 | no | — |
| 963 | D4 | — | 100 | 1 | no | — |
| 964 | D4 | — | 100 | 1 | no | — |
| 965 | D4 | — | 100 | 1 | no | — |
| 966 | D4 | — | 100 | 1 | no | — |
| 967 | D4 | #87886 | 1 | 1 | yes | characteristic |
| 968 | C2×C4 | — | 2 | 1 | no | — |
| 969 | C2×C4 | — | 10 | 1 | no | — |
| 970 | C2×C4 | — | 25 | 1 | no | — |
| 971 | C2×C4 | — | 25 | 1 | no | — |
| 972 | C2×C4 | — | 25 | 1 | no | — |
| 973 | C2×C4 | — | 25 | 1 | no | — |
| 974 | C2×C4 | — | 25 | 1 | no | — |
| 975 | C2×C4 | — | 50 | 1 | no | — |
| 976 | C2×C4 | — | 50 | 1 | no | — |
| 977 | C2×C4 | — | 50 | 1 | no | — |
| 978 | C2×C4 | — | 50 | 1 | no | — |
| 979 | C2×C4 | — | 100 | 1 | no | — |
| 980 | C2×C4 | — | 100 | 1 | no | — |
| 981 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 982 | C8 | — | 2 | 1 | no | — |
| 983 | C8 | — | 5 | 1 | no | — |
| 984 | C8 | — | 5 | 1 | no | — |
| 985 | C8 | — | 5 | 1 | no | — |
| 986 | C8 | — | 5 | 1 | no | — |
| 987 | C8 | — | 10 | 1 | no | — |
| 988 | C8 | — | 10 | 1 | no | — |
| 989 | C8 | — | 10 | 1 | no | — |
| 990 | C8 | — | 10 | 1 | no | — |
| 991 | C8 | — | 50 | 1 | no | — |
| 992 | C5 | — | 2 | 2 | no | — |
| 993 | C5 | #10612661 | 1 | 1 | yes | characteristic, complemented |
| 994 | C5 | #10612669 | 1 | 1 | yes | characteristic, complemented |
| 995 | C22 | — | 2 | 1 | no | — |
| 996 | C22 | — | 4 | 1 | no | — |
| 997 | C22 | — | 8 | 1 | no | — |
| 998 | C22 | — | 20 | 1 | no | — |
| 999 | C22 | — | 25 | 1 | no | — |
| 1000 | C22 | — | 25 | 1 | no | — |
| 1001 | C22 | — | 40 | 1 | no | — |
| 1002 | C22 | — | 50 | 1 | no | — |
| 1003 | C22 | — | 100 | 1 | no | — |
| 1004 | C22 | — | 100 | 1 | no | — |
| 1005 | C22 | — | 200 | 1 | no | — |
| 1006 | C22 | — | 200 | 1 | no | — |
| 1007 | C22 | — | 200 | 2 | no | — |
| 1008 | C22 | — | 200 | 2 | no | — |
| 1009 | C22 | #11717477 | 1 | 1 | yes | characteristic |
| 1010 | C4 | — | 2 | 1 | no | — |
| 1011 | C4 | — | 20 | 1 | no | — |
| 1012 | C4 | — | 25 | 1 | no | — |
| 1013 | C4 | — | 25 | 1 | no | — |
| 1014 | C4 | — | 50 | 1 | no | — |
| 1015 | C4 | D4×D52 | 1 | 1 | yes | characteristic |
| 1016 | C4 | C2×#87886 | 1 | 1 | yes | characteristic |
| 1017 | C2 | — | 2 | 1 | no | — |
| 1018 | C2 | — | 4 | 1 | no | — |
| 1019 | C2 | — | 8 | 1 | no | — |
| 1020 | C2 | — | 40 | 1 | no | — |
| 1021 | C2 | — | 50 | 1 | no | — |
| 1022 | C2 | — | 50 | 1 | no | — |
| 1023 | C2 | — | 100 | 1 | no | — |
| 1024 | C2 | — | 200 | 1 | no | — |
| 1025 | C2 | #13106195 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. AGL(1,ℤ/8)×C5⋊D5 | C2 | semidirect |
| 2. #13106562 | C2 | semidirect |
| 3. #13106534 | C2 | semidirect |
| 4. C2×#11717055 | C2 | semidirect |
| 5. C5×#65489 | C2 | semidirect |
| 6. C5×#65488 | C2 | semidirect |
| 7. #13101859 | C2 | semidirect |
| 8. #13101856 | C2 | semidirect |
| 9. #13101685 | C2 | semidirect |
| 10. #13101684 | C2 | semidirect |
| 11. #13101682 | C2 | semidirect |
| 12. #13101191 | C2 | semidirect |
| 13. #13101158 | C2 | semidirect |
| 14. #13101157 | C2 | semidirect |
| 15. #13101155 | C2 | semidirect |
| 28. C5×#4097 | C22 | semidirect |
| 29. C5×#4095 | C22 | semidirect |
| 30. C5×#4094 | C22 | semidirect |
| 31. C5×#4094 | C22 | semidirect |
| 32. C2×C5×#687 | C22 | semidirect |
| 33. C2×C5×#686 | C22 | semidirect |
| 42. #11716951 | C22 | semidirect |
| 43. C2×#87774 | C22 | semidirect |
| 44. #11716948 | C22 | semidirect |
| 45. C2×#87771 | C22 | semidirect |
| 53. #11716935 | C22 | semidirect |
| 54. #11716935 | C22 | semidirect |
| 55. C5×#3965 | C22 | semidirect |
| 56. C5×#3965 | C22 | semidirect |
| 57. C5×#3956 | C22 | semidirect |
| 58. C5×#3955 | C22 | semidirect |
| 59. C5×#3954 | C22 | semidirect |
| 60. C5×#3954 | C22 | semidirect |
| 61. #11716618 | C22 | semidirect |
| 62. #11716618 | C22 | semidirect |
| 63. #11716601 | C22 | semidirect |
| 64. #11716600 | C22 | semidirect |
| 65. #11716600 | C22 | semidirect |
| 66. #11716599 | C22 | semidirect |
| 158. #65489 | D5 | semidirect |
| 160. #65488 | D5 | semidirect |
| 248. #4097 | C2×D5 | semidirect |
| 252. #4095 | C2×D5 | semidirect |
| 253. #4094 | C2×D5 | semidirect |
| 254. #4094 | C2×D5 | semidirect |
| 257. C2×#687 | C2×D5 | semidirect |
| 263. C2×#686 | C2×D5 | semidirect |
| 328. #3965 | C2×D5 | semidirect |
| 329. #3965 | C2×D5 | semidirect |
| 331. #3956 | C2×D5 | semidirect |
| 337. #3955 | C2×D5 | semidirect |
| 340. #3954 | C2×D5 | semidirect |
| 341. #3954 | C2×D5 | semidirect |
| 771. C52 | #3068 | semidirect |
| 993. C5 | #10612661 | semidirect |
| 994. C5 | #10612669 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| AGL(1,ℤ/8)×C5⋊D5 | 2 |
| #13106562 | 2 |
| #13106534 | 2 |
| C2×#11717055 | 2 |
| C5×#65489 | 2 |
| C5×#65488 | 2 |
| #13101859 | 2 |
| #13101856 | 2 |
| #13101685 | 2 |
| #13101684 | 2 |
| #13101682 | 2 |
| #13101191 | 2 |
| #13101158 | 2 |
| #13101157 | 2 |
| #13101155 | 2 |
| #10612669 | 5 |
| #10612661 | 5 |