Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
3922 conjugacy classes of subgroups.
The subgroup lattice has 771 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | H(5,𝔽2)×C5⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13107838 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#66169 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13106552 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #13106550 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #13106549 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #13106540 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13106533 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13106300 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #13106298 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C2×#11717044 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | C52×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | #11717522 | — | 2 | 1 | no | — |
| 14 | #11717522 | C22 | 1 | 3 | yes | complemented |
| 15 | #11717522 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | #41×C5⋊D5 | — | 2 | 1 | no | — |
| 17 | #41×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 18 | #41×C5⋊D5 | C22 | 1 | 3 | yes | complemented |
| 19 | #11717517 | — | 2 | 3 | no | — |
| 20 | #11717517 | C22 | 1 | 3 | yes | complemented |
| 21 | C2×D4×C5⋊D5 | — | 2 | 3 | no | — |
| 22 | C2×D4×C5⋊D5 | C22 | 1 | 3 | yes | complemented |
| 23 | C5×#4149 | C22 | 1 | 2 | yes | complemented |
| 24 | #11717485 | — | 2 | 1 | no | — |
| 25 | #11717484 | — | 2 | 1 | no | — |
| 26 | #11717478 | — | 2 | 3 | no | — |
| 27 | D4×D52 | — | 2 | 3 | no | — |
| 28 | #11717472 | C22 | 1 | 6 | yes | complemented |
| 29 | #11717471 | C22 | 1 | 3 | yes | complemented |
| 30 | C2×#87877 | C22 | 1 | 3 | yes | complemented |
| 31 | C5×#4096 | C22 | 1 | 6 | yes | complemented |
| 32 | C5×#4095 | C22 | 1 | 6 | yes | complemented |
| 33 | C5×#4094 | C22 | 1 | 2 | yes | complemented |
| 34 | C5×#4078 | C22 | 1 | 6 | yes | complemented |
| 35 | C2×C5×#686 | C22 | 1 | 6 | yes | complemented |
| 36 | #11717068 | C22 | 1 | 6 | yes | complemented |
| 37 | #11717062 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #11717059 | C22 | 1 | 6 | yes | complemented |
| 39 | #11717058 | C22 | 1 | 3 | yes | complemented |
| 40 | #11717055 | C22 | 1 | 12 | yes | complemented |
| 41 | #11717054 | C22 | 1 | 6 | yes | complemented |
| 42 | #11717048 | C22 | 1 | 3 | yes | complemented |
| 43 | #11717045 | C22 | 1 | 6 | yes | complemented |
| 44 | #11717044 | C22 | 1 | 6 | yes | complemented |
| 45 | #11717044 | C22 | 1 | 3 | yes | complemented |
| 46 | #11717044 | C22 | 1 | 12 | yes | complemented |
| 47 | #11716948 | C22 | 1 | 6 | yes | complemented |
| 48 | #11716947 | C22 | 1 | 6 | yes | complemented |
| 49 | #11716943 | C22 | 1 | 6 | yes | complemented |
| 50 | C2×#87771 | C22 | 1 | 6 | yes | complemented |
| 51 | #11716936 | C22 | 1 | 3 | yes | complemented |
| 52 | #11716935 | C22 | 1 | 6 | yes | complemented |
| 53 | C2×#87767 | C22 | 1 | 3 | yes | complemented |
| 54 | D5×#576 | — | 5 | 2 | no | maximal |
| 55 | C23×C5⋊D5 | — | 2 | 3 | no | — |
| 56 | C22×D52 | — | 2 | 3 | no | — |
| 57 | C52×#41 | — | 2 | 1 | no | — |
| 58 | C52×#41 | C23 | 1 | 1 | yes | characteristic |
| 59 | C52×#41 | C23 | 1 | 3 | yes | complemented |
| 60 | C2×C52×D4 | — | 2 | 3 | no | — |
| 61 | C2×C52×D4 | C23 | 1 | 3 | yes | complemented |
| 62 | C2×C22⋊(C5⋊D5) | — | 2 | 6 | no | — |
| 63 | C2×C22⋊(C5⋊D5) | — | 2 | 3 | no | — |
| 64 | #87904 | — | 2 | 1 | no | — |
| 65 | #87904 | D4 | 1 | 1 | yes | characteristic |
| 66 | #87904 | C23 | 1 | 3 | yes | complemented |
| 67 | Q8×C5⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 68 | Q8×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 69 | #87902 | — | 2 | 3 | no | — |
| 70 | #87902 | — | 2 | 3 | no | — |
| 71 | #87902 | D4 | 1 | 3 | yes | — |
| 72 | #87902 | C23 | 1 | 3 | yes | complemented |
| 73 | D4×C5⋊D5 | — | 2 | 3 | no | — |
| 74 | D4×C5⋊D5 | — | 2 | 3 | no | — |
| 75 | D4×C5⋊D5 | — | 2 | 6 | no | — |
| 76 | D4×C5⋊D5 | — | 2 | 3 | no | — |
| 77 | D4×C5⋊D5 | — | 2 | 3 | no | — |
| 78 | D4×C5⋊D5 | — | 2 | 3 | no | — |
| 79 | D4×C5⋊D5 | D4 | 1 | 3 | yes | — |
| 80 | D4×C5⋊D5 | C23 | 1 | 3 | yes | — |
| 81 | D4×C5⋊D5 | C23 | 1 | 6 | yes | complemented |
| 82 | #87900 | — | 2 | 3 | no | — |
| 83 | #87900 | — | 2 | 3 | no | — |
| 84 | #87900 | C23 | 1 | 3 | yes | — |
| 85 | #87900 | C23 | 1 | 3 | yes | complemented |
| 86 | C2×C4⋊(C5⋊D5) | — | 2 | 3 | no | — |
| 87 | C2×C4⋊(C5⋊D5) | C23 | 1 | 3 | yes | complemented |
| 88 | C2×C4×C5⋊D5 | — | 2 | 3 | no | — |
| 89 | C2×C4×C5⋊D5 | C23 | 1 | 3 | yes | — |
| 90 | C5×#713 | — | 2 | 2 | no | — |
| 91 | C5×D4×D5 | — | 2 | 6 | no | — |
| 92 | C5×#709 | C23 | 1 | 6 | yes | complemented |
| 93 | C2×C5×D20 | C23 | 1 | 6 | yes | complemented |
| 94 | #87886 | — | 2 | 3 | no | — |
| 95 | D5×C22⋊D5 | — | 2 | 12 | no | — |
| 96 | C2×#6037 | — | 2 | 3 | no | — |
| 97 | #87880 | — | 2 | 3 | no | — |
| 98 | #87877 | — | 2 | 3 | no | — |
| 99 | #87877 | — | 2 | 3 | no | — |
| 100 | #87877 | C23 | 1 | 3 | yes | — |
| 101 | #87877 | C23 | 1 | 6 | yes | complemented |
| 102 | D5×D20 | — | 2 | 6 | no | — |
| 103 | C4×D52 | — | 2 | 3 | no | — |
| 104 | #87873 | — | 2 | 3 | no | — |
| 105 | #87872 | C23 | 1 | 1 | yes | characteristic |
| 106 | #87871 | C23 | 1 | 6 | yes | complemented |
| 107 | #87870 | — | 2 | 6 | no | — |
| 108 | C5×#689 | C23 | 1 | 2 | yes | complemented |
| 109 | C5×#688 | C23 | 1 | 6 | yes | complemented |
| 110 | C5×#687 | C23 | 1 | 6 | yes | complemented |
| 111 | C5×#686 | C23 | 1 | 6 | yes | complemented |
| 112 | C5×#686 | C23 | 1 | 12 | yes | complemented |
| 113 | C5×#681 | C23 | 1 | 6 | yes | complemented |
| 114 | C2×C5×#168 | C23 | 1 | 6 | yes | complemented |
| 115 | #87776 | C23 | 1 | 2 | yes | complemented |
| 116 | #87774 | C23 | 1 | 6 | yes | complemented |
| 117 | #87773 | C23 | 1 | 6 | yes | complemented |
| 118 | #87771 | C23 | 1 | 6 | yes | complemented |
| 119 | #87771 | C23 | 1 | 12 | yes | complemented |
| 120 | #87769 | C23 | 1 | 6 | yes | complemented |
| 121 | #87767 | C23 | 1 | 1 | yes | characteristic |
| 122 | #87767 | C23 | 1 | 3 | yes | — |
| 123 | #87767 | C23 | 1 | 6 | yes | complemented |
| 124 | D5×H(5,𝔽2) | — | 5 | 2 | no | — |
| 125 | D5×H(5,𝔽2) | — | 5 | 2 | no | — |
| 126 | D5×H(5,𝔽2) | — | 10 | 2 | no | — |
| 127 | C5×#576 | — | 5 | 2 | no | — |
| 128 | #66169 | — | 5 | 2 | no | — |
| 129 | #66169 | D5 | 1 | 2 | yes | complemented |
| 130 | #66108 | — | 5 | 6 | no | — |
| 131 | #66108 | — | 5 | 6 | no | — |
| 132 | D5×AGL(1,ℤ/8) | — | 5 | 6 | no | — |
| 133 | D5×AGL(1,ℤ/8) | — | 5 | 6 | no | — |
| 134 | #66103 | — | 5 | 6 | no | — |
| 135 | D5×#135 | — | 5 | 6 | no | — |
| 136 | #66091 | — | 5 | 6 | no | — |
| 137 | C2×D5×D8 | — | 5 | 6 | no | — |
| 138 | #66086 | — | 5 | 2 | no | — |
| 139 | D5×#131 | — | 5 | 2 | no | — |
| 140 | C23×C52 | — | 2 | 3 | no | — |
| 141 | C22×C5⋊D5 | — | 2 | 3 | no | — |
| 142 | C22×C5⋊D5 | — | 2 | 3 | no | — |
| 143 | C22×C5⋊D5 | — | 2 | 6 | no | — |
| 144 | C22×C5⋊D5 | — | 8 | 6 | no | — |
| 145 | C22×C5⋊D5 | C2×D4 | 1 | 3 | yes | — |
| 146 | C22×C5×D5 | — | 2 | 6 | no | — |
| 147 | C2×D52 | — | 2 | 3 | no | — |
| 148 | C2×D52 | — | 2 | 6 | no | — |
| 149 | C2×D52 | — | 8 | 6 | no | — |
| 150 | C52×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C52×Q8 | C24 | 1 | 1 | yes | characteristic |
| 152 | C52×D4 | — | 2 | 3 | no | — |
| 153 | C52×D4 | — | 2 | 3 | no | — |
| 154 | C52×D4 | C2×D4 | 1 | 3 | yes | — |
| 155 | C52×D4 | C24 | 1 | 3 | yes | — |
| 156 | C2×C4×C52 | — | 2 | 3 | no | — |
| 157 | C2×C4×C52 | C24 | 1 | 3 | yes | — |
| 158 | C22⋊(C5⋊D5) | — | 2 | 3 | no | — |
| 159 | C22⋊(C5⋊D5) | — | 2 | 3 | no | — |
| 160 | C22⋊(C5⋊D5) | — | 2 | 3 | no | — |
| 161 | C22⋊(C5⋊D5) | — | 2 | 6 | no | — |
| 162 | C22⋊(C5⋊D5) | C2×D4 | 1 | 6 | yes | — |
| 163 | C2×#1039 | — | 2 | 3 | no | — |
| 164 | C2×#1039 | C2×D4 | 1 | 3 | yes | — |
| 165 | C4⋊(C5⋊D5) | — | 2 | 3 | no | — |
| 166 | C4⋊(C5⋊D5) | — | 2 | 3 | no | — |
| 167 | C4⋊(C5⋊D5) | C2×D4 | 1 | 3 | yes | — |
| 168 | C4⋊(C5⋊D5) | C24 | 1 | 3 | yes | — |
| 169 | C4×C5⋊D5 | — | 2 | 1 | no | — |
| 170 | C4×C5⋊D5 | — | 2 | 3 | no | — |
| 171 | C4×C5⋊D5 | — | 2 | 3 | no | — |
| 172 | C4×C5⋊D5 | C2×D4 | 1 | 3 | yes | — |
| 173 | C4×C5⋊D5 | C2×D4 | 1 | 3 | yes | — |
| 174 | C4×C5⋊D5 | C24 | 1 | 3 | yes | — |
| 175 | C4×C5⋊D5 | C24 | 1 | 1 | yes | characteristic |
| 176 | #6045 | — | 2 | 1 | no | — |
| 177 | #6045 | C2×D4 | 1 | 3 | yes | — |
| 178 | #6045 | C24 | 1 | 1 | yes | characteristic |
| 179 | C5×C22⋊D5 | — | 2 | 6 | no | — |
| 180 | C5×D20 | — | 2 | 6 | no | — |
| 181 | C5×D20 | C24 | 1 | 6 | yes | — |
| 182 | C4×C5×D5 | — | 2 | 6 | no | — |
| 183 | C5×Dic10 | C24 | 1 | 2 | yes | — |
| 184 | #6039 | — | 2 | 1 | no | — |
| 185 | #6038 | — | 2 | 6 | no | — |
| 186 | #6037 | — | 2 | 6 | no | — |
| 187 | #6037 | — | 2 | 3 | no | — |
| 188 | #6036 | — | 2 | 1 | no | — |
| 189 | D5×Dic5 | — | 2 | 6 | no | — |
| 190 | C5×#168 | C24 | 1 | 2 | yes | — |
| 191 | C5×#168 | C24 | 1 | 6 | yes | — |
| 192 | C5×H(5,𝔽2) | — | 2 | 2 | no | — |
| 193 | C5×H(5,𝔽2) | — | 5 | 2 | no | — |
| 194 | C5×H(5,𝔽2) | C2×D5 | 1 | 2 | yes | complemented |
| 195 | #4149 | — | 5 | 2 | no | — |
| 196 | #4149 | — | 5 | 6 | no | — |
| 197 | #4149 | — | 5 | 6 | no | — |
| 198 | #4149 | — | 10 | 2 | no | — |
| 199 | #4149 | — | 10 | 6 | no | — |
| 200 | #4149 | — | 10 | 2 | no | — |
| 201 | #4149 | — | 10 | 2 | no | — |
| 202 | #4149 | — | 10 | 4 | no | — |
| 203 | #4149 | C2×D5 | 1 | 2 | yes | complemented |
| 204 | D5×#41 | — | 5 | 2 | no | — |
| 205 | D5×#41 | — | 5 | 6 | no | — |
| 206 | D5×#41 | — | 5 | 6 | no | — |
| 207 | D5×#41 | — | 10 | 2 | no | — |
| 208 | D5×#41 | — | 10 | 6 | no | — |
| 209 | D5×#41 | — | 10 | 2 | no | — |
| 210 | D5×#41 | — | 10 | 2 | no | — |
| 211 | D5×#41 | — | 10 | 4 | no | — |
| 212 | #4144 | — | 5 | 6 | no | — |
| 213 | #4144 | — | 5 | 6 | no | — |
| 214 | #4144 | — | 10 | 6 | no | — |
| 215 | #4144 | — | 10 | 6 | no | — |
| 216 | #4144 | — | 10 | 6 | no | — |
| 217 | #4144 | — | 10 | 12 | no | — |
| 218 | C2×D4×D5 | — | 5 | 6 | no | — |
| 219 | C2×D4×D5 | — | 5 | 6 | no | — |
| 220 | C2×D4×D5 | — | 10 | 6 | no | — |
| 221 | C2×D4×D5 | — | 10 | 6 | no | — |
| 222 | C2×D4×D5 | — | 10 | 6 | no | — |
| 223 | C2×D4×D5 | — | 10 | 12 | no | — |
| 224 | C5×AGL(1,ℤ/8) | — | 5 | 6 | no | — |
| 225 | C5×AGL(1,ℤ/8) | — | 5 | 6 | no | — |
| 226 | C5×#135 | — | 5 | 6 | no | — |
| 227 | C2×C5×D8 | — | 5 | 6 | no | — |
| 228 | C5×#131 | — | 5 | 2 | no | — |
| 229 | #4096 | — | 5 | 6 | no | — |
| 230 | #4096 | C2×D5 | 1 | 6 | yes | complemented |
| 231 | #4095 | — | 5 | 6 | no | — |
| 232 | #4095 | C2×D5 | 1 | 6 | yes | complemented |
| 233 | #4094 | C2×D5 | 1 | 2 | yes | complemented |
| 234 | #4078 | — | 5 | 6 | no | — |
| 235 | #4078 | C2×D5 | 1 | 6 | yes | complemented |
| 236 | C2×#686 | — | 5 | 6 | no | — |
| 237 | C2×#686 | C2×D5 | 1 | 6 | yes | complemented |
| 238 | #4065 | — | 5 | 6 | no | — |
| 239 | D5×Q16 | — | 5 | 2 | no | — |
| 240 | #4062 | — | 5 | 6 | no | — |
| 241 | #4062 | — | 5 | 6 | no | — |
| 242 | #4060 | — | 5 | 12 | no | — |
| 243 | #4060 | — | 5 | 12 | no | — |
| 244 | D5×SD16 | — | 5 | 6 | no | — |
| 245 | D5×SD16 | — | 5 | 6 | no | — |
| 246 | #4058 | — | 5 | 6 | no | — |
| 247 | #4057 | — | 5 | 12 | no | — |
| 248 | #4057 | — | 5 | 12 | no | — |
| 249 | D5×D8 | — | 5 | 6 | no | — |
| 250 | D5×D8 | — | 5 | 12 | no | — |
| 251 | D5×D8 | — | 5 | 12 | no | — |
| 252 | D5×D8 | — | 5 | 12 | no | — |
| 253 | #4054 | — | 5 | 6 | no | — |
| 254 | #4054 | — | 5 | 6 | no | — |
| 255 | #4053 | — | 5 | 6 | no | — |
| 256 | D5×M16 | — | 5 | 6 | no | — |
| 257 | #4050 | — | 5 | 6 | no | — |
| 258 | C2×D40 | — | 5 | 6 | no | — |
| 259 | #4047 | — | 5 | 6 | no | — |
| 260 | C2×C8×D5 | — | 5 | 6 | no | — |
| 261 | C2×#576 | — | 25 | 1 | no | Sylow |
| 262 | C22×C52 | — | 2 | 3 | no | — |
| 263 | C22×C52 | — | 8 | 3 | no | — |
| 264 | C22×C52 | C22×D4 | 1 | 3 | yes | — |
| 265 | C2×C5⋊D5 | — | 2 | 6 | no | — |
| 266 | C2×C5⋊D5 | — | 2 | 3 | no | — |
| 267 | C2×C5⋊D5 | — | 4 | 6 | no | — |
| 268 | C2×C5⋊D5 | — | 8 | 6 | no | — |
| 269 | C2×C5⋊D5 | — | 8 | 3 | no | — |
| 270 | C2×C5⋊D5 | C22×D4 | 1 | 3 | yes | — |
| 271 | C2×C5⋊D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 272 | C2×C5×D5 | — | 2 | 6 | no | — |
| 273 | C2×C5×D5 | — | 8 | 6 | no | — |
| 274 | D52 | — | 4 | 6 | no | — |
| 275 | D52 | — | 8 | 6 | no | — |
| 276 | C4×C52 | — | 2 | 1 | no | — |
| 277 | C4×C52 | C22×D4 | 1 | 3 | yes | — |
| 278 | C4×C52 | C25 | 1 | 1 | yes | characteristic |
| 279 | #1039 | — | 2 | 1 | no | — |
| 280 | #1039 | C22×D4 | 1 | 3 | yes | — |
| 281 | #1039 | C22×D4 | 1 | 1 | yes | characteristic |
| 282 | C5×Dic5 | — | 2 | 2 | no | — |
| 283 | C23×D5 | — | 10 | 6 | no | — |
| 284 | C23×D5 | — | 10 | 6 | no | — |
| 285 | C23×D5 | — | 10 | 12 | no | — |
| 286 | C5×#41 | — | 2 | 4 | no | — |
| 287 | C5×#41 | — | 2 | 2 | no | — |
| 288 | C5×#41 | — | 2 | 2 | no | — |
| 289 | C5×#41 | — | 2 | 6 | no | — |
| 290 | C5×#41 | — | 5 | 6 | no | — |
| 291 | C5×#41 | — | 10 | 2 | no | — |
| 292 | C5×#41 | C22×D5 | 1 | 2 | yes | — |
| 293 | C5×#41 | C22×D5 | 1 | 6 | yes | complemented |
| 294 | C2×C5×D4 | — | 2 | 12 | no | — |
| 295 | C2×C5×D4 | — | 2 | 6 | no | — |
| 296 | C2×C5×D4 | — | 2 | 6 | no | — |
| 297 | C2×C5×D4 | — | 5 | 6 | no | — |
| 298 | C2×C5×D4 | — | 10 | 6 | no | — |
| 299 | C2×C5×D4 | C22×D5 | 1 | 6 | yes | complemented |
| 300 | C2×C22⋊D5 | — | 10 | 6 | no | — |
| 301 | C2×C22⋊D5 | — | 10 | 6 | no | — |
| 302 | C2×C22⋊D5 | — | 10 | 12 | no | — |
| 303 | C2×C22⋊D5 | — | 10 | 12 | no | — |
| 304 | C2×C22⋊D5 | — | 10 | 12 | no | — |
| 305 | C2×C22⋊D5 | — | 10 | 24 | no | — |
| 306 | #713 | — | 2 | 2 | no | — |
| 307 | #713 | — | 5 | 2 | no | — |
| 308 | #713 | — | 5 | 6 | no | — |
| 309 | #713 | — | 5 | 6 | no | — |
| 310 | #713 | — | 10 | 2 | no | — |
| 311 | #713 | — | 10 | 6 | no | — |
| 312 | #713 | — | 10 | 4 | no | — |
| 313 | #713 | — | 10 | 2 | no | — |
| 314 | Q8×D5 | — | 5 | 2 | no | — |
| 315 | Q8×D5 | — | 5 | 2 | no | — |
| 316 | Q8×D5 | — | 5 | 2 | no | — |
| 317 | Q8×D5 | — | 10 | 2 | no | — |
| 318 | Q8×D5 | — | 10 | 2 | no | — |
| 319 | #711 | — | 5 | 6 | no | — |
| 320 | #711 | — | 5 | 6 | no | — |
| 321 | #711 | — | 5 | 6 | no | — |
| 322 | #711 | — | 10 | 6 | no | — |
| 323 | #711 | — | 10 | 6 | no | — |
| 324 | #711 | — | 10 | 6 | no | — |
| 325 | #711 | — | 10 | 6 | no | — |
| 326 | #711 | — | 10 | 6 | no | — |
| 327 | #711 | — | 10 | 6 | no | — |
| 328 | #711 | — | 10 | 12 | no | — |
| 329 | #711 | — | 10 | 12 | no | — |
| 330 | D4×D5 | — | 2 | 6 | no | — |
| 331 | D4×D5 | — | 5 | 6 | no | — |
| 332 | D4×D5 | — | 5 | 6 | no | — |
| 333 | D4×D5 | — | 5 | 12 | no | — |
| 334 | D4×D5 | — | 5 | 6 | no | — |
| 335 | D4×D5 | — | 5 | 12 | no | — |
| 336 | D4×D5 | — | 10 | 6 | no | — |
| 337 | D4×D5 | — | 10 | 6 | no | — |
| 338 | D4×D5 | — | 10 | 12 | no | — |
| 339 | D4×D5 | — | 10 | 6 | no | — |
| 340 | D4×D5 | — | 10 | 6 | no | — |
| 341 | D4×D5 | — | 10 | 6 | no | — |
| 342 | D4×D5 | — | 10 | 6 | no | — |
| 343 | D4×D5 | — | 10 | 6 | no | — |
| 344 | D4×D5 | — | 10 | 6 | no | — |
| 345 | D4×D5 | — | 10 | 6 | no | — |
| 346 | D4×D5 | — | 10 | 12 | no | — |
| 347 | D4×D5 | — | 10 | 12 | no | — |
| 348 | D4×D5 | — | 10 | 6 | no | — |
| 349 | D4×D5 | — | 10 | 12 | no | — |
| 350 | D4×D5 | — | 10 | 12 | no | — |
| 351 | D4×D5 | — | 10 | 12 | no | — |
| 352 | D4×D5 | — | 10 | 12 | no | — |
| 353 | D4×D5 | — | 10 | 24 | no | — |
| 354 | D4×D5 | — | 10 | 12 | no | — |
| 355 | D4×D5 | — | 10 | 6 | no | — |
| 356 | #709 | — | 5 | 6 | no | — |
| 357 | #709 | — | 5 | 6 | no | — |
| 358 | #709 | — | 10 | 6 | no | — |
| 359 | #709 | — | 10 | 6 | no | — |
| 360 | #709 | — | 10 | 6 | no | — |
| 361 | #709 | — | 10 | 6 | no | — |
| 362 | #709 | — | 10 | 6 | no | — |
| 363 | #709 | — | 10 | 6 | no | — |
| 364 | #709 | — | 10 | 12 | no | — |
| 365 | #709 | — | 10 | 12 | no | — |
| 366 | #709 | C22×D5 | 1 | 6 | yes | complemented |
| 367 | C2×D20 | — | 5 | 6 | no | — |
| 368 | C2×D20 | — | 10 | 6 | no | — |
| 369 | C2×D20 | — | 10 | 6 | no | — |
| 370 | C2×D20 | — | 10 | 6 | no | — |
| 371 | C2×D20 | — | 10 | 12 | no | — |
| 372 | C2×D20 | C22×D5 | 1 | 6 | yes | complemented |
| 373 | C2×C4×D5 | — | 5 | 6 | no | — |
| 374 | C2×C4×D5 | — | 10 | 6 | no | — |
| 375 | C2×C4×D5 | — | 10 | 6 | no | — |
| 376 | C2×C4×D5 | — | 10 | 6 | no | — |
| 377 | C2×C4×D5 | — | 10 | 12 | no | — |
| 378 | C5×Q16 | — | 5 | 2 | no | — |
| 379 | C5×SD16 | — | 5 | 6 | no | — |
| 380 | C5×SD16 | — | 5 | 6 | no | — |
| 381 | C5×D8 | — | 5 | 6 | no | — |
| 382 | C5×D8 | — | 5 | 12 | no | — |
| 383 | C5×M16 | — | 5 | 6 | no | — |
| 384 | C2×C5×C8 | — | 5 | 6 | no | — |
| 385 | #689 | — | 5 | 2 | no | — |
| 386 | #689 | C22×D5 | 1 | 2 | yes | complemented |
| 387 | #688 | — | 5 | 6 | no | — |
| 388 | #688 | C22×D5 | 1 | 6 | yes | complemented |
| 389 | #687 | — | 5 | 6 | no | — |
| 390 | #687 | C22×D5 | 1 | 6 | yes | complemented |
| 391 | #686 | — | 5 | 6 | no | — |
| 392 | #686 | — | 5 | 12 | no | — |
| 393 | #686 | C22×D5 | 1 | 6 | yes | complemented |
| 394 | #686 | C22×D5 | 1 | 12 | yes | complemented |
| 395 | #681 | C22×D5 | 1 | 6 | yes | complemented |
| 396 | C2×#168 | C22×D5 | 1 | 6 | yes | complemented |
| 397 | Dic20 | — | 5 | 2 | no | — |
| 398 | D40 | — | 5 | 6 | no | — |
| 399 | D40 | — | 5 | 12 | no | — |
| 400 | #677 | — | 5 | 6 | no | — |
| 401 | #677 | — | 5 | 6 | no | — |
| 402 | #676 | — | 5 | 12 | no | — |
| 403 | C8×D5 | — | 5 | 2 | no | — |
| 404 | C8×D5 | — | 5 | 6 | no | — |
| 405 | C8×D5 | — | 5 | 6 | no | — |
| 406 | C8×D5 | — | 5 | 6 | no | — |
| 407 | C2×H(5,𝔽2) | — | 25 | 1 | no | — |
| 408 | C2×H(5,𝔽2) | — | 25 | 1 | no | — |
| 409 | #576 | — | 5 | 2 | no | — |
| 410 | #576 | — | 25 | 2 | no | — |
| 411 | #576 | — | 25 | 6 | no | — |
| 412 | #576 | — | 25 | 6 | no | — |
| 413 | C2×AGL(1,ℤ/8) | — | 25 | 3 | no | — |
| 414 | C2×AGL(1,ℤ/8) | — | 25 | 3 | no | — |
| 415 | C2×#135 | — | 25 | 3 | no | — |
| 416 | C22×D8 | — | 25 | 3 | no | — |
| 417 | C2×#131 | — | 25 | 1 | no | — |
| 418 | C2×C52 | — | 2 | 3 | no | — |
| 419 | C2×C52 | — | 4 | 3 | no | — |
| 420 | C2×C52 | C23×D4 | 1 | 1 | yes | characteristic |
| 421 | C5⋊D5 | — | 2 | 3 | no | — |
| 422 | C5⋊D5 | — | 4 | 3 | no | — |
| 423 | C5⋊D5 | #576 | 1 | 2 | yes | complemented |
| 424 | C5×D5 | — | 4 | 6 | no | — |
| 425 | C23×C5 | — | 2 | 12 | no | — |
| 426 | C23×C5 | — | 2 | 6 | no | — |
| 427 | C23×C5 | — | 10 | 6 | no | — |
| 428 | C22×D5 | — | 2 | 6 | no | — |
| 429 | C22×D5 | — | 5 | 6 | no | — |
| 430 | C22×D5 | — | 10 | 6 | no | — |
| 431 | C22×D5 | — | 10 | 6 | no | — |
| 432 | C22×D5 | — | 10 | 12 | no | — |
| 433 | C22×D5 | — | 10 | 6 | no | — |
| 434 | C22×D5 | — | 10 | 12 | no | — |
| 435 | C22×D5 | — | 10 | 12 | no | — |
| 436 | C22×D5 | — | 10 | 24 | no | — |
| 437 | C22×D5 | — | 10 | 12 | no | — |
| 438 | C22×D5 | — | 10 | 6 | no | — |
| 439 | C22×D5 | — | 40 | 12 | no | — |
| 440 | C22×D5 | — | 40 | 12 | no | — |
| 441 | C22×D5 | — | 40 | 24 | no | — |
| 442 | C5×Q8 | — | 2 | 2 | no | — |
| 443 | C5×Q8 | — | 2 | 2 | no | — |
| 444 | C5×Q8 | — | 5 | 2 | no | — |
| 445 | C5×Q8 | D4×D5 | 1 | 2 | yes | — |
| 446 | C5×Q8 | C23×D5 | 1 | 2 | yes | — |
| 447 | C5×D4 | — | 2 | 12 | no | — |
| 448 | C5×D4 | — | 2 | 12 | no | — |
| 449 | C5×D4 | — | 2 | 6 | no | — |
| 450 | C5×D4 | — | 2 | 6 | no | — |
| 451 | C5×D4 | — | 2 | 6 | no | — |
| 452 | C5×D4 | — | 2 | 6 | no | — |
| 453 | C5×D4 | — | 5 | 6 | no | — |
| 454 | C5×D4 | — | 10 | 6 | no | — |
| 455 | C5×D4 | — | 10 | 6 | no | — |
| 456 | C5×D4 | D4×D5 | 1 | 6 | yes | — |
| 457 | C5×D4 | C23×D5 | 1 | 6 | yes | — |
| 458 | C2×C4×C5 | — | 2 | 12 | no | — |
| 459 | C2×C4×C5 | — | 2 | 6 | no | — |
| 460 | C2×C4×C5 | — | 2 | 6 | no | — |
| 461 | C2×C4×C5 | — | 10 | 6 | no | — |
| 462 | C2×C4×C5 | C23×D5 | 1 | 6 | yes | — |
| 463 | C22⋊D5 | — | 2 | 6 | no | — |
| 464 | C22⋊D5 | — | 5 | 12 | no | — |
| 465 | C22⋊D5 | — | 10 | 12 | no | — |
| 466 | C22⋊D5 | — | 10 | 6 | no | — |
| 467 | C22⋊D5 | — | 10 | 12 | no | — |
| 468 | C22⋊D5 | — | 10 | 6 | no | — |
| 469 | C22⋊D5 | — | 10 | 12 | no | — |
| 470 | C22⋊D5 | — | 10 | 6 | no | — |
| 471 | C22⋊D5 | — | 10 | 6 | no | — |
| 472 | C22⋊D5 | — | 10 | 12 | no | — |
| 473 | C22⋊D5 | — | 10 | 24 | no | — |
| 474 | C22⋊D5 | — | 10 | 12 | no | — |
| 475 | C22⋊D5 | — | 10 | 12 | no | — |
| 476 | C22⋊D5 | — | 10 | 6 | no | — |
| 477 | C2×Dic5 | — | 5 | 6 | no | — |
| 478 | C2×Dic5 | — | 10 | 6 | no | — |
| 479 | C2×Dic5 | — | 10 | 6 | no | — |
| 480 | C2×Dic5 | — | 10 | 6 | no | — |
| 481 | C2×Dic5 | — | 10 | 12 | no | — |
| 482 | D20 | — | 2 | 6 | no | — |
| 483 | D20 | — | 5 | 6 | no | — |
| 484 | D20 | — | 5 | 6 | no | — |
| 485 | D20 | — | 10 | 6 | no | — |
| 486 | D20 | — | 10 | 6 | no | — |
| 487 | D20 | — | 10 | 6 | no | — |
| 488 | D20 | — | 10 | 12 | no | — |
| 489 | D20 | — | 10 | 12 | no | — |
| 490 | D20 | — | 10 | 6 | no | — |
| 491 | D20 | — | 10 | 6 | no | — |
| 492 | D20 | C23×D5 | 1 | 6 | yes | — |
| 493 | C4×D5 | — | 2 | 6 | no | — |
| 494 | C4×D5 | — | 5 | 6 | no | — |
| 495 | C4×D5 | — | 5 | 6 | no | — |
| 496 | C4×D5 | — | 5 | 2 | no | — |
| 497 | C4×D5 | — | 5 | 6 | no | — |
| 498 | C4×D5 | — | 10 | 6 | no | — |
| 499 | C4×D5 | — | 10 | 6 | no | — |
| 500 | C4×D5 | — | 10 | 2 | no | — |
| 501 | C4×D5 | — | 10 | 6 | no | — |
| 502 | C4×D5 | — | 10 | 2 | no | — |
| 503 | C4×D5 | — | 10 | 6 | no | — |
| 504 | C4×D5 | — | 10 | 6 | no | — |
| 505 | C4×D5 | — | 10 | 2 | no | — |
| 506 | C4×D5 | — | 10 | 4 | no | — |
| 507 | C4×D5 | — | 10 | 12 | no | — |
| 508 | C4×D5 | — | 10 | 12 | no | — |
| 509 | C4×D5 | — | 10 | 6 | no | — |
| 510 | Dic10 | — | 5 | 6 | no | — |
| 511 | Dic10 | — | 5 | 2 | no | — |
| 512 | Dic10 | — | 10 | 6 | no | — |
| 513 | Dic10 | — | 10 | 2 | no | — |
| 514 | Dic10 | — | 10 | 2 | no | — |
| 515 | Dic10 | — | 10 | 2 | no | — |
| 516 | Dic10 | — | 10 | 4 | no | — |
| 517 | Dic10 | C23×D5 | 1 | 2 | yes | — |
| 518 | C5×C8 | — | 5 | 2 | no | — |
| 519 | C5×C8 | — | 5 | 6 | no | — |
| 520 | #168 | C23×D5 | 1 | 2 | yes | — |
| 521 | #168 | C23×D5 | 1 | 6 | yes | — |
| 522 | H(5,𝔽2) | — | 5 | 2 | no | — |
| 523 | H(5,𝔽2) | — | 25 | 6 | no | — |
| 524 | H(5,𝔽2) | — | 25 | 1 | no | — |
| 525 | H(5,𝔽2) | — | 25 | 3 | no | — |
| 526 | H(5,𝔽2) | — | 25 | 3 | no | — |
| 527 | H(5,𝔽2) | — | 50 | 3 | no | — |
| 528 | H(5,𝔽2) | — | 50 | 3 | no | — |
| 529 | H(5,𝔽2) | — | 50 | 1 | no | — |
| 530 | H(5,𝔽2) | — | 50 | 1 | no | — |
| 531 | H(5,𝔽2) | D52 | 1 | 1 | yes | characteristic, complemented |
| 532 | C2×#41 | — | 25 | 1 | no | — |
| 533 | C2×#41 | — | 25 | 3 | no | — |
| 534 | C2×#41 | — | 25 | 3 | no | — |
| 535 | C2×#41 | — | 50 | 1 | no | — |
| 536 | C2×#41 | — | 50 | 1 | no | — |
| 537 | C22×D4 | — | 25 | 3 | no | — |
| 538 | C22×D4 | — | 25 | 3 | no | — |
| 539 | C22×D4 | — | 50 | 3 | no | — |
| 540 | C22×D4 | — | 50 | 3 | no | — |
| 541 | AGL(1,ℤ/8) | — | 5 | 6 | no | — |
| 542 | AGL(1,ℤ/8) | — | 5 | 6 | no | — |
| 543 | AGL(1,ℤ/8) | — | 25 | 6 | no | — |
| 544 | AGL(1,ℤ/8) | — | 25 | 6 | no | — |
| 545 | AGL(1,ℤ/8) | — | 25 | 6 | no | — |
| 546 | AGL(1,ℤ/8) | — | 25 | 12 | no | — |
| 547 | AGL(1,ℤ/8) | — | 25 | 6 | no | — |
| 548 | #135 | — | 5 | 6 | no | — |
| 549 | #135 | — | 25 | 6 | no | — |
| 550 | #135 | — | 25 | 6 | no | — |
| 551 | #135 | — | 25 | 6 | no | — |
| 552 | C2×Q16 | — | 25 | 1 | no | — |
| 553 | C2×SD16 | — | 25 | 3 | no | — |
| 554 | C2×SD16 | — | 25 | 3 | no | — |
| 555 | C2×D8 | — | 5 | 6 | no | — |
| 556 | C2×D8 | — | 25 | 6 | no | — |
| 557 | C2×D8 | — | 25 | 3 | no | — |
| 558 | C2×D8 | — | 25 | 6 | no | — |
| 559 | C2×D8 | — | 25 | 12 | no | — |
| 560 | #131 | — | 5 | 2 | no | — |
| 561 | #131 | — | 25 | 6 | no | — |
| 562 | C2×M16 | — | 25 | 3 | no | — |
| 563 | C22×C8 | — | 25 | 3 | no | — |
| 564 | C52 | C2×#576 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 565 | C22×C5 | — | 2 | 12 | no | — |
| 566 | C22×C5 | — | 2 | 6 | no | — |
| 567 | C22×C5 | — | 2 | 6 | no | — |
| 568 | C22×C5 | — | 8 | 6 | no | — |
| 569 | C22×C5 | — | 8 | 12 | no | — |
| 570 | C22×C5 | — | 10 | 6 | no | — |
| 571 | C22×C5 | — | 40 | 6 | no | — |
| 572 | C22×C5 | C2×D4×D5 | 1 | 6 | yes | — |
| 573 | C2×D5 | — | 2 | 6 | no | — |
| 574 | C2×D5 | — | 5 | 2 | no | — |
| 575 | C2×D5 | — | 5 | 6 | no | — |
| 576 | C2×D5 | — | 8 | 6 | no | — |
| 577 | C2×D5 | — | 10 | 2 | no | — |
| 578 | C2×D5 | — | 10 | 6 | no | — |
| 579 | C2×D5 | — | 10 | 12 | no | — |
| 580 | C2×D5 | — | 10 | 12 | no | — |
| 581 | C2×D5 | — | 10 | 6 | no | — |
| 582 | C2×D5 | — | 20 | 12 | no | — |
| 583 | C2×D5 | — | 20 | 12 | no | — |
| 584 | C2×D5 | — | 20 | 12 | no | — |
| 585 | C2×D5 | — | 20 | 24 | no | — |
| 586 | C2×D5 | — | 40 | 12 | no | — |
| 587 | C2×D5 | — | 40 | 12 | no | — |
| 588 | C2×D5 | — | 40 | 6 | no | — |
| 589 | C2×D5 | — | 40 | 12 | no | — |
| 590 | C2×D5 | — | 40 | 24 | no | — |
| 591 | C4×C5 | — | 2 | 4 | no | — |
| 592 | C4×C5 | — | 2 | 2 | no | — |
| 593 | C4×C5 | — | 2 | 6 | no | — |
| 594 | C4×C5 | — | 2 | 2 | no | — |
| 595 | C4×C5 | — | 10 | 2 | no | — |
| 596 | C4×C5 | C2×D4×D5 | 1 | 6 | yes | — |
| 597 | C4×C5 | C24×D5 | 1 | 2 | yes | — |
| 598 | Dic5 | — | 2 | 2 | no | — |
| 599 | Dic5 | — | 5 | 6 | no | — |
| 600 | Dic5 | — | 5 | 2 | no | — |
| 601 | Dic5 | — | 10 | 2 | no | — |
| 602 | Dic5 | — | 10 | 6 | no | — |
| 603 | Dic5 | — | 10 | 4 | no | — |
| 604 | Dic5 | — | 10 | 2 | no | — |
| 605 | C24 | — | 50 | 3 | no | — |
| 606 | C24 | — | 50 | 3 | no | — |
| 607 | #41 | — | 2 | 1 | no | — |
| 608 | #41 | — | 5 | 6 | no | — |
| 609 | #41 | — | 10 | 2 | no | — |
| 610 | #41 | — | 25 | 1 | no | — |
| 611 | #41 | — | 25 | 3 | no | — |
| 612 | #41 | — | 25 | 3 | no | — |
| 613 | #41 | — | 25 | 6 | no | — |
| 614 | #41 | — | 25 | 3 | no | — |
| 615 | #41 | — | 25 | 3 | no | — |
| 616 | #41 | — | 25 | 3 | no | — |
| 617 | #41 | — | 50 | 3 | no | — |
| 618 | #41 | — | 50 | 3 | no | — |
| 619 | #41 | — | 50 | 3 | no | — |
| 620 | #41 | — | 50 | 6 | no | — |
| 621 | #41 | — | 50 | 3 | no | — |
| 622 | #41 | — | 50 | 3 | no | — |
| 623 | #41 | — | 50 | 3 | no | — |
| 624 | #41 | — | 50 | 1 | no | — |
| 625 | #41 | C2×D52 | 1 | 1 | yes | characteristic |
| 626 | #41 | C2×D52 | 1 | 3 | yes | complemented |
| 627 | C2×Q8 | — | 25 | 1 | no | — |
| 628 | C2×Q8 | — | 25 | 1 | no | — |
| 629 | C2×Q8 | — | 25 | 1 | no | — |
| 630 | C2×D4 | — | 2 | 3 | no | — |
| 631 | C2×D4 | — | 5 | 6 | no | — |
| 632 | C2×D4 | — | 10 | 6 | no | — |
| 633 | C2×D4 | — | 25 | 3 | no | — |
| 634 | C2×D4 | — | 25 | 6 | no | — |
| 635 | C2×D4 | — | 25 | 3 | no | — |
| 636 | C2×D4 | — | 25 | 3 | no | — |
| 637 | C2×D4 | — | 25 | 6 | no | — |
| 638 | C2×D4 | — | 25 | 3 | no | — |
| 639 | C2×D4 | — | 50 | 3 | no | — |
| 640 | C2×D4 | — | 50 | 6 | no | — |
| 641 | C2×D4 | — | 50 | 3 | no | — |
| 642 | C2×D4 | — | 50 | 3 | no | — |
| 643 | C2×D4 | — | 50 | 3 | no | — |
| 644 | C2×D4 | — | 50 | 3 | no | — |
| 645 | C2×D4 | — | 50 | 3 | no | — |
| 646 | C2×D4 | — | 50 | 3 | no | — |
| 647 | C2×D4 | — | 50 | 6 | no | — |
| 648 | C2×D4 | — | 50 | 3 | no | — |
| 649 | C2×D4 | — | 50 | 3 | no | — |
| 650 | C2×D4 | — | 50 | 3 | no | — |
| 651 | C2×D4 | — | 50 | 12 | no | — |
| 652 | C2×D4 | — | 50 | 6 | no | — |
| 653 | C2×D4 | — | 50 | 3 | no | — |
| 654 | C2×D4 | C2×D52 | 1 | 3 | yes | complemented |
| 655 | C22×C4 | — | 25 | 3 | no | — |
| 656 | C22×C4 | — | 50 | 3 | no | — |
| 657 | C22×C4 | — | 50 | 3 | no | — |
| 658 | Q16 | — | 5 | 2 | no | — |
| 659 | Q16 | — | 25 | 2 | no | — |
| 660 | SD16 | — | 5 | 6 | no | — |
| 661 | SD16 | — | 5 | 6 | no | — |
| 662 | SD16 | — | 25 | 6 | no | — |
| 663 | SD16 | — | 25 | 6 | no | — |
| 664 | D8 | — | 5 | 6 | no | — |
| 665 | D8 | — | 5 | 12 | no | — |
| 666 | D8 | — | 25 | 6 | no | — |
| 667 | D8 | — | 25 | 12 | no | — |
| 668 | M16 | — | 5 | 6 | no | — |
| 669 | M16 | — | 25 | 6 | no | — |
| 670 | C2×C8 | — | 5 | 6 | no | — |
| 671 | C2×C8 | — | 25 | 1 | no | — |
| 672 | C2×C8 | — | 25 | 3 | no | — |
| 673 | C2×C8 | — | 25 | 6 | no | — |
| 674 | C2×C5 | — | 2 | 6 | no | — |
| 675 | C2×C5 | — | 2 | 2 | no | — |
| 676 | C2×C5 | — | 4 | 6 | no | — |
| 677 | C2×C5 | — | 4 | 12 | no | — |
| 678 | C2×C5 | — | 4 | 6 | no | — |
| 679 | C2×C5 | — | 20 | 6 | no | — |
| 680 | C2×C5 | C22×D4×D5 | 1 | 2 | yes | — |
| 681 | D5 | — | 4 | 6 | no | — |
| 682 | D5 | — | 5 | 4 | no | — |
| 683 | D5 | — | 10 | 4 | no | — |
| 684 | D5 | — | 10 | 6 | no | — |
| 685 | D5 | — | 20 | 6 | no | — |
| 686 | D5 | — | 20 | 12 | no | — |
| 687 | D5 | — | 20 | 6 | no | — |
| 688 | C23 | — | 2 | 3 | no | — |
| 689 | C23 | — | 10 | 6 | no | — |
| 690 | C23 | — | 25 | 3 | no | — |
| 691 | C23 | — | 50 | 3 | no | — |
| 692 | C23 | — | 50 | 6 | no | — |
| 693 | C23 | — | 50 | 3 | no | — |
| 694 | C23 | — | 50 | 6 | no | — |
| 695 | C23 | — | 50 | 3 | no | — |
| 696 | C23 | — | 200 | 6 | no | — |
| 697 | C23 | — | 200 | 6 | no | — |
| 698 | Q8 | — | 5 | 2 | no | — |
| 699 | Q8 | — | 25 | 3 | no | — |
| 700 | Q8 | — | 25 | 1 | no | — |
| 701 | Q8 | — | 50 | 1 | no | — |
| 702 | Q8 | — | 50 | 1 | no | — |
| 703 | Q8 | #87886 | 1 | 1 | yes | characteristic |
| 704 | Q8 | C22×D52 | 1 | 1 | yes | characteristic |
| 705 | D4 | — | 2 | 3 | no | — |
| 706 | D4 | — | 2 | 3 | no | — |
| 707 | D4 | — | 5 | 6 | no | — |
| 708 | D4 | — | 10 | 6 | no | — |
| 709 | D4 | — | 10 | 6 | no | — |
| 710 | D4 | — | 25 | 6 | no | — |
| 711 | D4 | — | 25 | 3 | no | — |
| 712 | D4 | — | 25 | 3 | no | — |
| 713 | D4 | — | 50 | 3 | no | — |
| 714 | D4 | — | 50 | 6 | no | — |
| 715 | D4 | — | 50 | 3 | no | — |
| 716 | D4 | — | 50 | 6 | no | — |
| 717 | D4 | — | 50 | 3 | no | — |
| 718 | D4 | — | 50 | 6 | no | — |
| 719 | D4 | — | 50 | 3 | no | — |
| 720 | D4 | — | 50 | 3 | no | — |
| 721 | D4 | — | 50 | 3 | no | — |
| 722 | D4 | #87886 | 1 | 3 | yes | — |
| 723 | D4 | C22×D52 | 1 | 3 | yes | — |
| 724 | C2×C4 | — | 2 | 3 | no | — |
| 725 | C2×C4 | — | 10 | 6 | no | — |
| 726 | C2×C4 | — | 25 | 3 | no | — |
| 727 | C2×C4 | — | 25 | 3 | no | — |
| 728 | C2×C4 | — | 25 | 3 | no | — |
| 729 | C2×C4 | — | 25 | 1 | no | — |
| 730 | C2×C4 | — | 25 | 3 | no | — |
| 731 | C2×C4 | — | 50 | 3 | no | — |
| 732 | C2×C4 | — | 50 | 1 | no | — |
| 733 | C2×C4 | — | 50 | 1 | no | — |
| 734 | C2×C4 | — | 50 | 6 | no | — |
| 735 | C2×C4 | — | 50 | 3 | no | — |
| 736 | C2×C4 | — | 50 | 3 | no | — |
| 737 | C2×C4 | C22×D52 | 1 | 3 | yes | — |
| 738 | C8 | — | 5 | 2 | no | — |
| 739 | C8 | — | 5 | 6 | no | — |
| 740 | C5 | — | 2 | 2 | no | — |
| 741 | C5 | D5×#576 | 1 | 2 | yes | complemented |
| 742 | C22 | — | 2 | 3 | no | — |
| 743 | C22 | — | 8 | 3 | no | — |
| 744 | C22 | — | 10 | 6 | no | — |
| 745 | C22 | — | 25 | 1 | no | — |
| 746 | C22 | — | 25 | 3 | no | — |
| 747 | C22 | — | 40 | 6 | no | — |
| 748 | C22 | — | 50 | 6 | no | — |
| 749 | C22 | — | 50 | 3 | no | — |
| 750 | C22 | — | 100 | 6 | no | — |
| 751 | C22 | — | 100 | 6 | no | — |
| 752 | C22 | — | 200 | 3 | no | — |
| 753 | C22 | — | 200 | 6 | no | — |
| 754 | C22 | — | 200 | 6 | no | — |
| 755 | C22 | C2×#87886 | 1 | 3 | yes | — |
| 756 | C4 | — | 2 | 1 | no | — |
| 757 | C4 | — | 10 | 2 | no | — |
| 758 | C4 | — | 25 | 1 | no | — |
| 759 | C4 | — | 25 | 3 | no | — |
| 760 | C4 | — | 50 | 1 | no | — |
| 761 | C4 | C2×#87886 | 1 | 3 | yes | — |
| 762 | C4 | C23×D52 | 1 | 1 | yes | characteristic |
| 763 | C2 | — | 2 | 3 | no | — |
| 764 | C2 | — | 4 | 3 | no | — |
| 765 | C2 | — | 20 | 6 | no | — |
| 766 | C2 | — | 25 | 2 | no | — |
| 767 | C2 | — | 50 | 3 | no | — |
| 768 | C2 | — | 100 | 3 | no | — |
| 769 | C2 | C22×#87886 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. H(5,𝔽2)×C5⋊D5 | C2 | semidirect |
| 2. #13107838 | C2 | semidirect |
| 3. C5×#66169 | C2 | semidirect |
| 4. #13106552 | C2 | semidirect |
| 5. #13106550 | C2 | semidirect |
| 6. #13106549 | C2 | semidirect |
| 7. #13106540 | C2 | semidirect |
| 8. #13106533 | C2 | semidirect |
| 9. #13106300 | C2 | semidirect |
| 10. #13106298 | C2 | semidirect |
| 11. C2×#11717044 | C2 | semidirect |
| 12. C52×H(5,𝔽2) | C22 | semidirect |
| 14. #11717522 | C22 | semidirect |
| 15. #11717522 | C22 | semidirect |
| 18. #41×C5⋊D5 | C22 | semidirect |
| 20. #11717517 | C22 | semidirect |
| 22. C2×D4×C5⋊D5 | C22 | semidirect |
| 23. C5×#4149 | C22 | semidirect |
| 28. #11717472 | C22 | semidirect |
| 29. #11717471 | C22 | semidirect |
| 30. C2×#87877 | C22 | semidirect |
| 31. C5×#4096 | C22 | semidirect |
| 32. C5×#4095 | C22 | semidirect |
| 33. C5×#4094 | C22 | semidirect |
| 34. C5×#4078 | C22 | semidirect |
| 35. C2×C5×#686 | C22 | semidirect |
| 36. #11717068 | C22 | semidirect |
| 37. #11717062 | C22 | semidirect |
| 38. #11717059 | C22 | semidirect |
| 39. #11717058 | C22 | semidirect |
| 40. #11717055 | C22 | semidirect |
| 41. #11717054 | C22 | semidirect |
| 42. #11717048 | C22 | semidirect |
| 43. #11717045 | C22 | semidirect |
| 44. #11717044 | C22 | semidirect |
| 45. #11717044 | C22 | semidirect |
| 46. #11717044 | C22 | semidirect |
| 47. #11716948 | C22 | semidirect |
| 48. #11716947 | C22 | semidirect |
| 49. #11716943 | C22 | semidirect |
| 50. C2×#87771 | C22 | semidirect |
| 51. #11716936 | C22 | semidirect |
| 52. #11716935 | C22 | semidirect |
| 53. C2×#87767 | C22 | semidirect |
| 59. C52×#41 | C23 | semidirect |
| 61. C2×C52×D4 | C23 | semidirect |
| 66. #87904 | C23 | semidirect |
| 72. #87902 | C23 | semidirect |
| 81. D4×C5⋊D5 | C23 | semidirect |
| 85. #87900 | C23 | semidirect |
| 87. C2×C4⋊(C5⋊D5) | C23 | semidirect |
| 92. C5×#709 | C23 | semidirect |
| 93. C2×C5×D20 | C23 | semidirect |
| 101. #87877 | C23 | semidirect |
| 106. #87871 | C23 | semidirect |
| 108. C5×#689 | C23 | semidirect |
| 109. C5×#688 | C23 | semidirect |
| 110. C5×#687 | C23 | semidirect |
| 111. C5×#686 | C23 | semidirect |
| 112. C5×#686 | C23 | semidirect |
| 113. C5×#681 | C23 | semidirect |
| 114. C2×C5×#168 | C23 | semidirect |
| 115. #87776 | C23 | semidirect |
| 116. #87774 | C23 | semidirect |
| 117. #87773 | C23 | semidirect |
| 118. #87771 | C23 | semidirect |
| 119. #87771 | C23 | semidirect |
| 120. #87769 | C23 | semidirect |
| 123. #87767 | C23 | semidirect |
| 129. #66169 | D5 | semidirect |
| 194. C5×H(5,𝔽2) | C2×D5 | semidirect |
| 203. #4149 | C2×D5 | semidirect |
| 230. #4096 | C2×D5 | semidirect |
| 232. #4095 | C2×D5 | semidirect |
| 233. #4094 | C2×D5 | semidirect |
| 235. #4078 | C2×D5 | semidirect |
| 237. C2×#686 | C2×D5 | semidirect |
| 293. C5×#41 | C22×D5 | semidirect |
| 299. C2×C5×D4 | C22×D5 | semidirect |
| 366. #709 | C22×D5 | semidirect |
| 372. C2×D20 | C22×D5 | semidirect |
| 386. #689 | C22×D5 | semidirect |
| 388. #688 | C22×D5 | semidirect |
| 390. #687 | C22×D5 | semidirect |
| 393. #686 | C22×D5 | semidirect |
| 394. #686 | C22×D5 | semidirect |
| 395. #681 | C22×D5 | semidirect |
| 396. C2×#168 | C22×D5 | semidirect |
| 423. C5⋊D5 | #576 | semidirect |
| 531. H(5,𝔽2) | D52 | semidirect |
| 564. C52 | C2×#576 | semidirect |
| 626. #41 | C2×D52 | semidirect |
| 654. C2×D4 | C2×D52 | semidirect |
| 741. C5 | D5×#576 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| H(5,𝔽2)×C5⋊D5 | 2 |
| #13107838 | 2 |
| C5×#66169 | 2 |
| #13106552 | 2 |
| #13106550 | 2 |
| #13106549 | 2 |
| #13106540 | 2 |
| #13106533 | 2 |
| #13106300 | 2 |
| #13106298 | 2 |
| C2×#11717044 | 2 |
| D5×#576 | 5 |