Finite Group DatabasebetaFinite Group DatabasebetaOrder 6400.
2472 conjugacy classes of subgroups.
The subgroup lattice has 852 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72221318 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #72221309 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72221285 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72221276 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72221267 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72221262 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72221214 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72220979 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #72213464 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13107767 | C22 | 1 | 1 | yes | characteristic |
| 11 | #13107746 | C22 | 1 | 1 | yes | characteristic |
| 12 | #13107563 | C22 | 1 | 2 | yes | — |
| 13 | #127×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#11717044 | C22 | 1 | 2 | yes | — |
| 15 | C2×#11717044 | C22 | 1 | 2 | yes | — |
| 16 | #13105099 | C22 | 1 | 1 | yes | characteristic |
| 17 | #13104916 | C22 | 1 | 1 | yes | characteristic |
| 18 | #13104909 | C22 | 1 | 2 | yes | — |
| 19 | #13104790 | C22 | 1 | 1 | yes | characteristic |
| 20 | #13104783 | C22 | 1 | 2 | yes | — |
| 21 | #13104058 | — | 2 | 4 | no | — |
| 22 | #13104057 | — | 2 | 4 | no | — |
| 23 | #13104056 | — | 2 | 4 | no | — |
| 24 | #13104055 | — | 2 | 4 | no | — |
| 25 | #13103965 | C22 | 1 | 2 | yes | — |
| 26 | #13103961 | C22 | 1 | 2 | yes | — |
| 27 | #13103936 | C22 | 1 | 2 | yes | — |
| 28 | #13103932 | C22 | 1 | 2 | yes | — |
| 29 | #13103927 | C22 | 1 | 2 | yes | — |
| 30 | #13103909 | C22 | 1 | 2 | yes | — |
| 31 | #13103903 | C22 | 1 | 2 | yes | — |
| 32 | C5×#65362 | C4 | 1 | 2 | yes | complemented |
| 33 | #13101687 | C4 | 1 | 2 | yes | complemented |
| 34 | #13101687 | C4 | 1 | 2 | yes | complemented |
| 35 | #13100528 | C4 | 1 | 2 | yes | complemented |
| 36 | C4×#87767 | C22 | 1 | 1 | yes | characteristic |
| 37 | #13100332 | C22 | 1 | 2 | yes | — |
| 38 | #13100240 | C22 | 1 | 2 | yes | — |
| 39 | #13042040 | — | 5 | 2 | no | maximal |
| 40 | C2×D4×C5⋊D5 | — | 4 | 1 | no | — |
| 41 | C2×D4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 42 | C2×D4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 43 | C2×#87877 | — | 4 | 1 | no | — |
| 44 | C2×#87877 | C23 | 1 | 2 | yes | — |
| 45 | C2×C22⋊#1044 | — | 4 | 1 | no | — |
| 46 | D4×#1044 | — | 2 | 4 | no | — |
| 47 | #11717451 | C23 | 1 | 2 | yes | — |
| 48 | #11717448 | C23 | 1 | 2 | yes | — |
| 49 | C2×C22⋊#1043 | — | 4 | 1 | no | — |
| 50 | D4×#1043 | — | 2 | 4 | no | — |
| 51 | #11717438 | C23 | 1 | 2 | yes | — |
| 52 | #11717435 | C23 | 1 | 2 | yes | — |
| 53 | D5⋊(C22⋊AGL(1,𝔽5)) | — | 4 | 2 | no | — |
| 54 | #11717365 | — | 2 | 4 | no | — |
| 55 | #11717363 | — | 2 | 4 | no | — |
| 56 | C52×#127 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 57 | #11717260 | — | 4 | 1 | no | — |
| 58 | #11717260 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 59 | #11717260 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 60 | #11717194 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 61 | C42×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×C5×#686 | C2×C4 | 1 | 4 | yes | complemented |
| 63 | C2×C5×#686 | C2×C4 | 1 | 4 | yes | complemented |
| 64 | C5×#4020 | C2×C4 | 1 | 2 | yes | complemented |
| 65 | #11717044 | — | 2 | 2 | no | — |
| 66 | #11717044 | — | 2 | 2 | no | — |
| 67 | #11717044 | — | 2 | 2 | no | — |
| 68 | #11717044 | — | 2 | 2 | no | — |
| 69 | #11717044 | — | 2 | 4 | no | — |
| 70 | #11717044 | — | 2 | 4 | no | — |
| 71 | #11717032 | — | 4 | 1 | no | — |
| 72 | #11717032 | C2×C4 | 1 | 2 | yes | complemented |
| 73 | C2×#87771 | C2×C4 | 1 | 4 | yes | complemented |
| 74 | C2×#87771 | C2×C4 | 1 | 4 | yes | complemented |
| 75 | C2×#87767 | C23 | 1 | 2 | yes | — |
| 76 | #11716906 | — | 4 | 1 | no | — |
| 77 | #11716900 | — | 2 | 4 | no | — |
| 78 | #11716881 | — | 4 | 1 | no | — |
| 79 | #11716875 | — | 2 | 4 | no | — |
| 80 | #11716781 | — | 4 | 2 | no | — |
| 81 | #11716773 | — | 2 | 4 | no | — |
| 82 | #11716772 | D4 | 1 | 4 | yes | complemented |
| 83 | #11716771 | D4 | 1 | 4 | yes | complemented |
| 84 | #11716766 | — | 2 | 4 | no | — |
| 85 | #11716765 | — | 2 | 4 | no | — |
| 86 | #11716764 | — | 2 | 2 | no | — |
| 87 | #11716763 | — | 2 | 2 | no | — |
| 88 | #11716762 | — | 2 | 2 | no | — |
| 89 | #11716761 | — | 2 | 2 | no | — |
| 90 | C4×C5×#168 | C2×C4 | 1 | 2 | yes | complemented |
| 91 | #11716594 | C2×C4 | 1 | 2 | yes | complemented |
| 92 | #10617422 | — | 5 | 4 | no | — |
| 93 | #10617422 | — | 5 | 4 | no | — |
| 94 | D5×#493 | — | 5 | 2 | no | — |
| 95 | #10604806 | — | 5 | 4 | no | — |
| 96 | #10604806 | — | 5 | 4 | no | — |
| 97 | #10604614 | — | 5 | 2 | no | — |
| 98 | #10604614 | — | 5 | 4 | no | — |
| 99 | #10604614 | — | 5 | 2 | no | — |
| 100 | #10604614 | — | 10 | 2 | no | — |
| 101 | #10603851 | — | 5 | 4 | no | — |
| 102 | C23×C5⋊D5 | — | 2 | 1 | no | — |
| 103 | C23×C5⋊D5 | — | 2 | 1 | no | — |
| 104 | C22×D52 | — | 2 | 2 | no | — |
| 105 | C22×#1044 | — | 4 | 2 | no | — |
| 106 | C22×#1043 | — | 4 | 2 | no | — |
| 107 | C2×D5⋊AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 108 | C2×C52×D4 | — | 4 | 1 | no | — |
| 109 | C2×C52×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 110 | C2×C52×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 111 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 112 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 113 | C2×C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 114 | C2×C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 115 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 116 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 117 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 118 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 119 | D4×C5⋊D5 | — | 8 | 4 | no | — |
| 120 | C2×C4⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 121 | C2×C4⋊(C5⋊D5) | C22×C4 | 1 | 1 | yes | characteristic |
| 122 | C2×C4⋊(C5⋊D5) | C22×C4 | 1 | 1 | yes | characteristic |
| 123 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 124 | C2×C4×C5⋊D5 | C24 | 1 | 1 | yes | characteristic |
| 125 | C2×C5×D20 | — | 4 | 2 | no | — |
| 126 | C2×C5×D20 | C22×C4 | 1 | 4 | yes | — |
| 127 | C2×#6037 | — | 2 | 2 | no | — |
| 128 | C2×#6037 | — | 4 | 2 | no | — |
| 129 | #87877 | — | 2 | 2 | no | — |
| 130 | #87877 | — | 2 | 2 | no | — |
| 131 | #87877 | — | 2 | 2 | no | — |
| 132 | #87877 | — | 2 | 2 | no | — |
| 133 | #87877 | — | 8 | 4 | no | — |
| 134 | C22⋊#1044 | — | 2 | 2 | no | — |
| 135 | C22⋊#1044 | — | 4 | 2 | no | — |
| 136 | #87867 | — | 2 | 2 | no | — |
| 137 | C4⋊#1044 | C2×D4 | 1 | 4 | yes | — |
| 138 | C4×#1044 | — | 2 | 2 | no | — |
| 139 | #87863 | — | 2 | 2 | no | — |
| 140 | #87862 | — | 2 | 2 | no | — |
| 141 | C22⋊#1043 | — | 2 | 2 | no | — |
| 142 | C22⋊#1043 | — | 4 | 2 | no | — |
| 143 | #87860 | — | 2 | 2 | no | — |
| 144 | C4⋊#1043 | C2×D4 | 1 | 4 | yes | — |
| 145 | C4×#1043 | — | 2 | 2 | no | — |
| 146 | #87856 | — | 2 | 2 | no | — |
| 147 | #87855 | — | 2 | 2 | no | — |
| 148 | #87831 | — | 4 | 4 | no | — |
| 149 | C42×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 150 | C4×#1039 | — | 2 | 1 | no | — |
| 151 | C4×#1039 | C22×C4 | 1 | 1 | yes | characteristic |
| 152 | C5×#686 | — | 2 | 4 | no | — |
| 153 | C5×#686 | — | 2 | 4 | no | — |
| 154 | C5×#686 | — | 2 | 4 | no | — |
| 155 | C5×#686 | — | 2 | 4 | no | — |
| 156 | C2×C5×#168 | C22×C4 | 1 | 4 | yes | — |
| 157 | #87771 | — | 2 | 4 | no | — |
| 158 | #87771 | — | 2 | 4 | no | — |
| 159 | #87771 | — | 2 | 4 | no | — |
| 160 | #87771 | — | 2 | 4 | no | — |
| 161 | #87767 | C2×D4 | 1 | 2 | yes | — |
| 162 | #87767 | C2×D4 | 1 | 2 | yes | — |
| 163 | #87767 | #41 | 1 | 4 | yes | — |
| 164 | #66258 | — | 5 | 2 | no | — |
| 165 | #66258 | — | 5 | 2 | no | — |
| 166 | #66258 | — | 5 | 4 | no | — |
| 167 | #66258 | — | 10 | 2 | no | — |
| 168 | C2×D5×D8 | — | 5 | 4 | no | — |
| 169 | C2×D5×D8 | — | 5 | 4 | no | — |
| 170 | D5×#127 | — | 5 | 2 | no | — |
| 171 | D5×#127 | — | 5 | 2 | no | — |
| 172 | D5×#127 | — | 10 | 2 | no | — |
| 173 | D5⋊#100 | — | 5 | 2 | no | — |
| 174 | D5⋊#100 | — | 5 | 4 | no | — |
| 175 | D5⋊#100 | — | 5 | 2 | no | — |
| 176 | D5⋊#100 | — | 10 | 2 | no | — |
| 177 | #65767 | — | 5 | 4 | no | — |
| 178 | #65767 | — | 5 | 4 | no | — |
| 179 | #65767 | — | 5 | 4 | no | — |
| 180 | #65767 | — | 5 | 4 | no | — |
| 181 | #65767 | — | 10 | 4 | no | — |
| 182 | #65731 | — | 10 | 8 | no | — |
| 183 | #65731 | — | 10 | 8 | no | — |
| 184 | D8×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 185 | D8×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 186 | D5⋊#108 | — | 5 | 4 | no | — |
| 187 | #65721 | — | 5 | 4 | no | — |
| 188 | #65718 | — | 5 | 4 | no | — |
| 189 | #65718 | — | 5 | 4 | no | — |
| 190 | C5×#493 | — | 5 | 2 | no | — |
| 191 | #65440 | — | 5 | 4 | no | — |
| 192 | #65440 | — | 5 | 4 | no | — |
| 193 | #65362 | — | 5 | 2 | no | — |
| 194 | #65362 | AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 195 | #64984 | — | 5 | 2 | no | — |
| 196 | C4×C8×D5 | — | 5 | 2 | no | — |
| 197 | #64862 | — | 5 | 4 | no | — |
| 198 | #64862 | — | 5 | 4 | no | — |
| 199 | #64862 | — | 10 | 4 | no | — |
| 200 | #23201 | — | 25 | 1 | no | Sylow |
| 201 | C23×C52 | — | 2 | 1 | no | — |
| 202 | C23×C52 | — | 2 | 1 | no | — |
| 203 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 204 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 205 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 206 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 207 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 208 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 209 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 210 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 211 | C22×C5⋊D5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 212 | C22×C5×D5 | — | 2 | 4 | no | — |
| 213 | C2×D52 | — | 4 | 2 | no | — |
| 214 | C2×D52 | — | 4 | 2 | no | — |
| 215 | C2×D52 | — | 8 | 4 | no | — |
| 216 | C2×#1044 | — | 2 | 4 | no | — |
| 217 | C2×#1044 | — | 16 | 2 | no | — |
| 218 | C2×#1043 | — | 2 | 4 | no | — |
| 219 | C2×#1043 | — | 16 | 2 | no | — |
| 220 | D5⋊AGL(1,𝔽5) | — | 16 | 4 | no | — |
| 221 | C52×D4 | — | 2 | 2 | no | — |
| 222 | C52×D4 | — | 2 | 2 | no | — |
| 223 | C52×D4 | — | 8 | 2 | no | — |
| 224 | C2×C4×C52 | — | 2 | 1 | no | — |
| 225 | C2×C4×C52 | C23×C4 | 1 | 1 | yes | characteristic |
| 226 | C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 227 | C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 228 | C22⋊(C5⋊D5) | — | 8 | 2 | no | — |
| 229 | C22⋊(C5⋊D5) | — | 8 | 2 | no | — |
| 230 | C2×#1039 | — | 2 | 1 | no | — |
| 231 | C2×#1039 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 232 | C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 233 | C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 234 | C4⋊(C5⋊D5) | — | 8 | 2 | no | — |
| 235 | C4×C5⋊D5 | — | 2 | 4 | no | — |
| 236 | C4×C5⋊D5 | C22×D4 | 1 | 2 | yes | — |
| 237 | C4×C5⋊D5 | C2×#41 | 1 | 2 | yes | — |
| 238 | C5×D20 | — | 2 | 4 | no | — |
| 239 | C5×D20 | — | 2 | 4 | no | — |
| 240 | C5×D20 | — | 8 | 4 | no | — |
| 241 | #6037 | — | 4 | 2 | no | — |
| 242 | #6037 | — | 4 | 2 | no | — |
| 243 | #6037 | — | 8 | 4 | no | — |
| 244 | #6034 | — | 4 | 2 | no | — |
| 245 | #6033 | — | 4 | 2 | no | — |
| 246 | C5×#168 | C4×D4 | 1 | 4 | yes | — |
| 247 | C5×#168 | C4×D4 | 1 | 4 | yes | — |
| 248 | C2×D4×D5 | — | 5 | 2 | no | — |
| 249 | C2×D4×D5 | — | 5 | 2 | no | — |
| 250 | C2×D4×D5 | — | 5 | 4 | no | — |
| 251 | C2×D4×D5 | — | 10 | 2 | no | — |
| 252 | C2×D4×D5 | — | 10 | 2 | no | — |
| 253 | C2×D4×D5 | — | 20 | 2 | no | — |
| 254 | C2×D4×D5 | — | 20 | 2 | no | — |
| 255 | C2×D4×D5 | — | 20 | 4 | no | — |
| 256 | C2×C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 257 | C2×C22⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 258 | C2×C22⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 259 | C2×C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 260 | D4×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 261 | D4×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 262 | D4×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 263 | D4×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 264 | D4×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 265 | #4130 | — | 5 | 4 | no | — |
| 266 | #4130 | — | 5 | 4 | no | — |
| 267 | #4130 | — | 10 | 4 | no | — |
| 268 | D5⋊M16 | — | 5 | 4 | no | — |
| 269 | D5⋊M16 | — | 5 | 4 | no | — |
| 270 | D5⋊M16 | — | 10 | 4 | no | — |
| 271 | C2×C5×D8 | — | 5 | 4 | no | — |
| 272 | C2×C5×D8 | — | 5 | 4 | no | — |
| 273 | C5×#127 | — | 2 | 2 | no | — |
| 274 | C5×#127 | — | 5 | 2 | no | — |
| 275 | C5×#127 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 276 | #4086 | — | 5 | 2 | no | — |
| 277 | #4086 | — | 5 | 2 | no | — |
| 278 | #4086 | — | 5 | 4 | no | — |
| 279 | #4086 | — | 10 | 2 | no | — |
| 280 | #4086 | — | 10 | 2 | no | — |
| 281 | #4086 | — | 20 | 2 | no | — |
| 282 | #4086 | — | 20 | 2 | no | — |
| 283 | #4086 | — | 20 | 4 | no | — |
| 284 | C2×#686 | — | 5 | 4 | no | — |
| 285 | C2×#686 | — | 5 | 4 | no | — |
| 286 | C2×#686 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 287 | C2×#686 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 288 | D5×D8 | — | 10 | 4 | no | — |
| 289 | D5×D8 | — | 10 | 4 | no | — |
| 290 | D5×D8 | — | 10 | 4 | no | — |
| 291 | D5×D8 | — | 10 | 4 | no | — |
| 292 | D5×D8 | — | 10 | 4 | no | — |
| 293 | D5×D8 | — | 10 | 4 | no | — |
| 294 | D5×D8 | — | 10 | 4 | no | — |
| 295 | D5×D8 | — | 10 | 4 | no | — |
| 296 | C2×D40 | — | 5 | 4 | no | — |
| 297 | C2×D40 | — | 5 | 4 | no | — |
| 298 | C2×C8×D5 | — | 5 | 4 | no | — |
| 299 | #4020 | — | 5 | 2 | no | — |
| 300 | #4020 | — | 10 | 2 | no | — |
| 301 | #4020 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 302 | C42×D5 | — | 5 | 2 | no | — |
| 303 | C42×D5 | — | 10 | 2 | no | — |
| 304 | #4013 | — | 20 | 2 | no | — |
| 305 | #4013 | — | 20 | 2 | no | — |
| 306 | #4013 | — | 20 | 4 | no | — |
| 307 | #4013 | — | 20 | 4 | no | — |
| 308 | #4007 | — | 10 | 8 | no | — |
| 309 | #4007 | — | 10 | 8 | no | — |
| 310 | #4007 | — | 10 | 8 | no | — |
| 311 | #4007 | — | 10 | 8 | no | — |
| 312 | #4007 | — | 20 | 8 | no | — |
| 313 | #3996 | — | 10 | 4 | no | — |
| 314 | #3995 | — | 10 | 4 | no | — |
| 315 | #3994 | — | 5 | 8 | no | — |
| 316 | #3993 | — | 5 | 8 | no | — |
| 317 | #3992 | — | 10 | 4 | no | — |
| 318 | #3992 | — | 10 | 4 | no | — |
| 319 | C8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 320 | C8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 321 | C4×C5×C8 | — | 5 | 2 | no | — |
| 322 | C8×Dic5 | — | 5 | 4 | no | — |
| 323 | C4×#168 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 324 | C2×#493 | — | 25 | 1 | no | — |
| 325 | #2948 | — | 25 | 2 | no | — |
| 326 | #2948 | — | 25 | 2 | no | — |
| 327 | #1978 | — | 25 | 2 | no | — |
| 328 | #1978 | — | 25 | 2 | no | — |
| 329 | #1887 | — | 25 | 1 | no | — |
| 330 | #1887 | — | 25 | 2 | no | — |
| 331 | #1887 | — | 25 | 1 | no | — |
| 332 | #1772 | — | 25 | 2 | no | — |
| 333 | C22×C52 | — | 4 | 1 | no | — |
| 334 | C22×C52 | — | 4 | 1 | no | — |
| 335 | C22×C52 | — | 8 | 1 | no | — |
| 336 | C22×C52 | — | 8 | 1 | no | — |
| 337 | C22×C52 | #518 | 1 | 1 | yes | characteristic |
| 338 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 339 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 340 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 341 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 342 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 343 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 344 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 345 | C2×C5⋊D5 | — | 16 | 1 | no | — |
| 346 | C2×C5⋊D5 | — | 16 | 1 | no | — |
| 347 | C2×C5⋊D5 | D42 | 1 | 1 | yes | characteristic |
| 348 | C2×C5⋊D5 | #559 | 1 | 1 | yes | characteristic |
| 349 | C2×C5×D5 | — | 4 | 4 | no | — |
| 350 | C2×C5×D5 | — | 8 | 4 | no | — |
| 351 | D52 | — | 8 | 4 | no | — |
| 352 | D52 | — | 16 | 2 | no | — |
| 353 | #1044 | — | 4 | 4 | no | — |
| 354 | #1043 | — | 4 | 4 | no | — |
| 355 | C4×C52 | — | 2 | 2 | no | — |
| 356 | C4×C52 | C2×C4×D4 | 1 | 2 | yes | — |
| 357 | #1039 | — | 2 | 2 | no | — |
| 358 | #1039 | #550 | 1 | 2 | yes | — |
| 359 | C23×D5 | — | 10 | 4 | no | — |
| 360 | C23×D5 | — | 10 | 2 | no | — |
| 361 | C23×D5 | — | 10 | 2 | no | — |
| 362 | C23×D5 | — | 10 | 4 | no | — |
| 363 | C23×D5 | — | 20 | 2 | no | — |
| 364 | C22×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 365 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 366 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 367 | C22×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 368 | C2×C5×D4 | — | 2 | 2 | no | — |
| 369 | C2×C5×D4 | — | 2 | 2 | no | — |
| 370 | C2×C5×D4 | — | 4 | 2 | no | — |
| 371 | C2×C5×D4 | — | 4 | 4 | no | — |
| 372 | C2×C5×D4 | — | 5 | 4 | no | — |
| 373 | C2×C5×D4 | — | 20 | 2 | no | — |
| 374 | C2×C5×D4 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 375 | C2×C5×D4 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 376 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 377 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 378 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 379 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 380 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 381 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 382 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 383 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 384 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 385 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 386 | D4×D5 | — | 10 | 4 | no | — |
| 387 | D4×D5 | — | 10 | 4 | no | — |
| 388 | D4×D5 | — | 10 | 4 | no | — |
| 389 | D4×D5 | — | 10 | 4 | no | — |
| 390 | D4×D5 | — | 10 | 4 | no | — |
| 391 | D4×D5 | — | 10 | 4 | no | — |
| 392 | D4×D5 | — | 10 | 4 | no | — |
| 393 | D4×D5 | — | 10 | 4 | no | — |
| 394 | D4×D5 | — | 20 | 4 | no | — |
| 395 | D4×D5 | — | 20 | 4 | no | — |
| 396 | D4×D5 | — | 20 | 4 | no | — |
| 397 | D4×D5 | — | 20 | 4 | no | — |
| 398 | D4×D5 | — | 40 | 8 | no | — |
| 399 | D4×D5 | — | 40 | 8 | no | — |
| 400 | D4×D5 | — | 40 | 16 | no | — |
| 401 | C2×D20 | — | 4 | 2 | no | — |
| 402 | C2×D20 | — | 5 | 2 | no | — |
| 403 | C2×D20 | — | 5 | 2 | no | — |
| 404 | C2×D20 | — | 10 | 2 | no | — |
| 405 | C2×D20 | — | 10 | 2 | no | — |
| 406 | C2×D20 | — | 20 | 2 | no | — |
| 407 | C2×D20 | — | 20 | 4 | no | — |
| 408 | C2×D20 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 409 | C2×C4×D5 | — | 5 | 2 | no | — |
| 410 | C2×C4×D5 | — | 10 | 2 | no | — |
| 411 | C2×C4×D5 | — | 10 | 2 | no | — |
| 412 | C2×C4×D5 | — | 20 | 2 | no | — |
| 413 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 414 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 415 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 416 | C22⋊AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 417 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 418 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 419 | C22⋊AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 420 | #704 | — | 10 | 4 | no | — |
| 421 | #704 | — | 10 | 4 | no | — |
| 422 | #704 | — | 20 | 4 | no | — |
| 423 | C4⋊AGL(1,𝔽5) | — | 5 | 8 | no | — |
| 424 | C4⋊AGL(1,𝔽5) | — | 5 | 8 | no | — |
| 425 | C4⋊AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 426 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 427 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 428 | C4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 429 | #700 | — | 10 | 4 | no | — |
| 430 | #700 | — | 10 | 4 | no | — |
| 431 | #700 | — | 20 | 4 | no | — |
| 432 | D5⋊C8 | — | 10 | 4 | no | — |
| 433 | D5⋊C8 | — | 10 | 4 | no | — |
| 434 | D5⋊C8 | — | 20 | 4 | no | — |
| 435 | C5×D8 | — | 10 | 4 | no | — |
| 436 | C5×D8 | — | 10 | 4 | no | — |
| 437 | C5×D8 | — | 10 | 4 | no | — |
| 438 | C5×D8 | — | 10 | 4 | no | — |
| 439 | C2×C5×C8 | — | 5 | 4 | no | — |
| 440 | C42×C5 | — | 2 | 2 | no | — |
| 441 | C42×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 442 | #686 | — | 2 | 4 | no | — |
| 443 | #686 | — | 2 | 4 | no | — |
| 444 | #686 | — | 2 | 4 | no | — |
| 445 | #686 | — | 2 | 4 | no | — |
| 446 | #686 | — | 10 | 4 | no | — |
| 447 | #686 | — | 10 | 4 | no | — |
| 448 | #686 | — | 10 | 4 | no | — |
| 449 | #686 | — | 10 | 4 | no | — |
| 450 | C4×Dic5 | — | 5 | 2 | no | — |
| 451 | C4×Dic5 | — | 10 | 2 | no | — |
| 452 | C4×Dic5 | — | 10 | 2 | no | — |
| 453 | C4×Dic5 | — | 20 | 2 | no | — |
| 454 | C2×#168 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 455 | D40 | — | 10 | 4 | no | — |
| 456 | D40 | — | 10 | 4 | no | — |
| 457 | D40 | — | 10 | 4 | no | — |
| 458 | D40 | — | 10 | 4 | no | — |
| 459 | C8×D5 | — | 5 | 4 | no | — |
| 460 | C8×D5 | — | 5 | 4 | no | — |
| 461 | C8×D5 | — | 5 | 4 | no | — |
| 462 | C8×D5 | — | 5 | 4 | no | — |
| 463 | C22×D8 | — | 25 | 2 | no | — |
| 464 | C22×D8 | — | 25 | 2 | no | — |
| 465 | C2×#127 | — | 25 | 1 | no | — |
| 466 | C2×#127 | — | 25 | 1 | no | — |
| 467 | #518 | — | 25 | 2 | no | — |
| 468 | #518 | — | 25 | 1 | no | — |
| 469 | #518 | — | 25 | 1 | no | — |
| 470 | #493 | — | 5 | 2 | no | — |
| 471 | #493 | — | 25 | 2 | no | — |
| 472 | #493 | — | 25 | 2 | no | — |
| 473 | #493 | — | 25 | 2 | no | — |
| 474 | #442 | — | 50 | 4 | no | — |
| 475 | #442 | — | 50 | 4 | no | — |
| 476 | C4×D8 | — | 50 | 4 | no | — |
| 477 | C4×D8 | — | 50 | 4 | no | — |
| 478 | C2×#108 | — | 25 | 2 | no | — |
| 479 | #427 | — | 25 | 2 | no | — |
| 480 | #418 | — | 25 | 2 | no | — |
| 481 | #418 | — | 25 | 2 | no | — |
| 482 | #418 | — | 25 | 2 | no | — |
| 483 | #418 | — | 25 | 2 | no | — |
| 484 | C2×#100 | — | 25 | 2 | no | — |
| 485 | C2×#100 | — | 25 | 1 | no | — |
| 486 | C2×#100 | — | 25 | 1 | no | — |
| 487 | #405 | — | 25 | 2 | no | — |
| 488 | #405 | — | 25 | 2 | no | — |
| 489 | C2×C4×C8 | — | 25 | 1 | no | — |
| 490 | #339 | — | 25 | 2 | no | — |
| 491 | #339 | — | 25 | 2 | no | — |
| 492 | C2×C52 | — | 2 | 1 | no | — |
| 493 | C2×C52 | — | 8 | 1 | no | — |
| 494 | C2×C52 | — | 8 | 1 | no | — |
| 495 | C2×C52 | #2366 | 1 | 1 | yes | characteristic |
| 496 | C5⋊D5 | — | 2 | 1 | no | — |
| 497 | C5⋊D5 | — | 8 | 1 | no | — |
| 498 | C5⋊D5 | — | 8 | 1 | no | — |
| 499 | C5⋊D5 | #3292 | 1 | 2 | yes | — |
| 500 | C5×D5 | — | 8 | 4 | no | — |
| 501 | C23×C5 | — | 2 | 4 | no | — |
| 502 | C23×C5 | — | 2 | 2 | no | — |
| 503 | C23×C5 | — | 2 | 2 | no | — |
| 504 | C23×C5 | — | 4 | 2 | no | — |
| 505 | C23×C5 | — | 10 | 4 | no | — |
| 506 | C22×D5 | — | 2 | 4 | no | — |
| 507 | C22×D5 | — | 5 | 2 | no | — |
| 508 | C22×D5 | — | 10 | 2 | no | — |
| 509 | C22×D5 | — | 10 | 4 | no | — |
| 510 | C22×D5 | — | 10 | 2 | no | — |
| 511 | C22×D5 | — | 10 | 2 | no | — |
| 512 | C22×D5 | — | 20 | 2 | no | — |
| 513 | C22×D5 | — | 20 | 4 | no | — |
| 514 | C22×D5 | — | 20 | 4 | no | — |
| 515 | C22×D5 | — | 20 | 2 | no | — |
| 516 | C22×D5 | — | 20 | 2 | no | — |
| 517 | C22×D5 | — | 20 | 2 | no | — |
| 518 | C22×D5 | — | 20 | 2 | no | — |
| 519 | C22×D5 | — | 20 | 4 | no | — |
| 520 | C22×D5 | — | 20 | 4 | no | — |
| 521 | C22×D5 | — | 40 | 2 | no | — |
| 522 | C22×D5 | — | 40 | 2 | no | — |
| 523 | C22×D5 | — | 40 | 8 | no | — |
| 524 | C22×D5 | — | 40 | 4 | no | — |
| 525 | C22×D5 | — | 40 | 4 | no | — |
| 526 | C22×D5 | — | 40 | 8 | no | — |
| 527 | C22×D5 | — | 40 | 8 | no | — |
| 528 | C2×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 529 | C2×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 530 | C2×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 531 | C2×AGL(1,𝔽5) | — | 80 | 8 | no | — |
| 532 | C2×AGL(1,𝔽5) | — | 80 | 4 | no | — |
| 533 | C2×AGL(1,𝔽5) | — | 80 | 4 | no | — |
| 534 | C2×AGL(1,𝔽5) | — | 80 | 8 | no | — |
| 535 | C5×D4 | — | 2 | 4 | no | — |
| 536 | C5×D4 | — | 2 | 4 | no | — |
| 537 | C5×D4 | — | 4 | 4 | no | — |
| 538 | C5×D4 | — | 4 | 4 | no | — |
| 539 | C5×D4 | — | 8 | 4 | no | — |
| 540 | C5×D4 | — | 8 | 8 | no | — |
| 541 | C5×D4 | — | 10 | 4 | no | — |
| 542 | C5×D4 | — | 10 | 4 | no | — |
| 543 | C5×D4 | — | 40 | 4 | no | — |
| 544 | C2×C4×C5 | — | 2 | 2 | no | — |
| 545 | C2×C4×C5 | — | 2 | 2 | no | — |
| 546 | C2×C4×C5 | — | 4 | 2 | no | — |
| 547 | C2×C4×C5 | C23×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 548 | C22⋊D5 | — | 20 | 4 | no | — |
| 549 | C22⋊D5 | — | 20 | 4 | no | — |
| 550 | C22⋊D5 | — | 20 | 4 | no | — |
| 551 | C22⋊D5 | — | 20 | 4 | no | — |
| 552 | C22⋊D5 | — | 20 | 8 | no | — |
| 553 | C22⋊D5 | — | 40 | 4 | no | — |
| 554 | C22⋊D5 | — | 40 | 8 | no | — |
| 555 | C22⋊D5 | — | 40 | 4 | no | — |
| 556 | C22⋊D5 | — | 40 | 4 | no | — |
| 557 | C22⋊D5 | — | 40 | 8 | no | — |
| 558 | C22⋊D5 | — | 40 | 8 | no | — |
| 559 | C2×Dic5 | — | 5 | 2 | no | — |
| 560 | C2×Dic5 | — | 10 | 2 | no | — |
| 561 | C2×Dic5 | — | 10 | 2 | no | — |
| 562 | C2×Dic5 | — | 20 | 2 | no | — |
| 563 | D20 | — | 2 | 4 | no | — |
| 564 | D20 | — | 2 | 4 | no | — |
| 565 | D20 | — | 8 | 4 | no | — |
| 566 | D20 | — | 10 | 4 | no | — |
| 567 | D20 | — | 10 | 4 | no | — |
| 568 | D20 | — | 20 | 4 | no | — |
| 569 | D20 | — | 20 | 4 | no | — |
| 570 | D20 | — | 40 | 4 | no | — |
| 571 | D20 | — | 40 | 8 | no | — |
| 572 | C4×D5 | — | 5 | 4 | no | — |
| 573 | C4×D5 | — | 5 | 4 | no | — |
| 574 | C4×D5 | — | 10 | 4 | no | — |
| 575 | C4×D5 | — | 10 | 4 | no | — |
| 576 | C4×D5 | — | 10 | 8 | no | — |
| 577 | C4×D5 | — | 20 | 8 | no | — |
| 578 | #170 | — | 20 | 4 | no | — |
| 579 | #170 | — | 20 | 4 | no | — |
| 580 | #170 | — | 40 | 4 | no | — |
| 581 | C5×C8 | — | 5 | 4 | no | — |
| 582 | C5×C8 | — | 5 | 4 | no | — |
| 583 | #168 | D4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 584 | #168 | D4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 585 | C22×D4 | — | 25 | 2 | no | — |
| 586 | C22×D4 | — | 25 | 1 | no | — |
| 587 | C22×D4 | — | 25 | 1 | no | — |
| 588 | C22×D4 | — | 100 | 1 | no | — |
| 589 | C22×D4 | — | 100 | 1 | no | — |
| 590 | C2×D8 | — | 5 | 4 | no | — |
| 591 | C2×D8 | — | 5 | 4 | no | — |
| 592 | C2×D8 | — | 25 | 4 | no | — |
| 593 | C2×D8 | — | 25 | 4 | no | — |
| 594 | C2×D8 | — | 50 | 2 | no | — |
| 595 | C2×D8 | — | 50 | 2 | no | — |
| 596 | C2×D8 | — | 50 | 2 | no | — |
| 597 | C2×D8 | — | 50 | 2 | no | — |
| 598 | C2×D8 | — | 50 | 4 | no | — |
| 599 | C2×D8 | — | 50 | 4 | no | — |
| 600 | C2×M16 | — | 25 | 2 | no | — |
| 601 | C2×M16 | — | 25 | 2 | no | — |
| 602 | C22×C8 | — | 25 | 2 | no | — |
| 603 | #127 | — | 5 | 2 | no | — |
| 604 | #127 | — | 25 | 2 | no | — |
| 605 | #127 | — | 25 | 1 | no | — |
| 606 | #127 | — | 25 | 1 | no | — |
| 607 | #127 | — | 25 | 1 | no | — |
| 608 | #127 | — | 100 | 1 | no | — |
| 609 | #127 | — | 100 | 1 | no | — |
| 610 | #127 | D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 611 | C4×D4 | — | 50 | 4 | no | — |
| 612 | C4×D4 | — | 50 | 4 | no | — |
| 613 | C4×D4 | — | 50 | 4 | no | — |
| 614 | C4×D4 | — | 50 | 4 | no | — |
| 615 | #117 | — | 25 | 2 | no | — |
| 616 | #117 | — | 25 | 2 | no | — |
| 617 | C2×C22⋊C4 | — | 100 | 1 | no | — |
| 618 | C2×C22⋊C4 | — | 100 | 2 | no | — |
| 619 | C2×C22⋊C4 | — | 100 | 1 | no | — |
| 620 | C2×C42 | — | 25 | 1 | no | — |
| 621 | #108 | — | 50 | 4 | no | — |
| 622 | #107 | — | 25 | 4 | no | — |
| 623 | #106 | — | 25 | 4 | no | — |
| 624 | #102 | — | 50 | 4 | no | — |
| 625 | #102 | — | 50 | 4 | no | — |
| 626 | #102 | — | 50 | 4 | no | — |
| 627 | #102 | — | 50 | 4 | no | — |
| 628 | #100 | — | 100 | 1 | no | — |
| 629 | #100 | — | 100 | 2 | no | — |
| 630 | #100 | — | 100 | 1 | no | — |
| 631 | #97 | — | 50 | 2 | no | — |
| 632 | #97 | — | 50 | 2 | no | — |
| 633 | C4×C8 | — | 5 | 2 | no | — |
| 634 | C4×C8 | — | 25 | 2 | no | — |
| 635 | C4×C8 | — | 50 | 2 | no | — |
| 636 | C4×C8 | — | 50 | 2 | no | — |
| 637 | C52 | #23201 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 638 | C22×C5 | — | 2 | 2 | no | — |
| 639 | C22×C5 | — | 4 | 4 | no | — |
| 640 | C22×C5 | — | 4 | 2 | no | — |
| 641 | C22×C5 | — | 4 | 2 | no | — |
| 642 | C22×C5 | — | 8 | 2 | no | — |
| 643 | C22×C5 | — | 8 | 2 | no | — |
| 644 | C22×C5 | — | 8 | 2 | no | — |
| 645 | C22×C5 | — | 8 | 4 | no | — |
| 646 | C22×C5 | — | 8 | 4 | no | — |
| 647 | C22×C5 | — | 20 | 4 | no | — |
| 648 | C22×C5 | — | 40 | 4 | no | — |
| 649 | C22×C5 | #66258 | 1 | 2 | yes | — |
| 650 | C2×D5 | — | 4 | 4 | no | — |
| 651 | C2×D5 | — | 5 | 2 | no | — |
| 652 | C2×D5 | — | 5 | 2 | no | — |
| 653 | C2×D5 | — | 8 | 4 | no | — |
| 654 | C2×D5 | — | 10 | 2 | no | — |
| 655 | C2×D5 | — | 10 | 2 | no | — |
| 656 | C2×D5 | — | 10 | 4 | no | — |
| 657 | C2×D5 | — | 20 | 4 | no | — |
| 658 | C2×D5 | — | 20 | 4 | no | — |
| 659 | C2×D5 | — | 20 | 2 | no | — |
| 660 | C2×D5 | — | 20 | 2 | no | — |
| 661 | C2×D5 | — | 40 | 2 | no | — |
| 662 | C2×D5 | — | 40 | 8 | no | — |
| 663 | C2×D5 | — | 40 | 4 | no | — |
| 664 | C2×D5 | — | 40 | 4 | no | — |
| 665 | C2×D5 | — | 40 | 8 | no | — |
| 666 | C2×D5 | — | 40 | 2 | no | — |
| 667 | C2×D5 | — | 40 | 2 | no | — |
| 668 | C2×D5 | — | 40 | 4 | no | — |
| 669 | C2×D5 | — | 40 | 4 | no | — |
| 670 | C2×D5 | — | 80 | 4 | no | — |
| 671 | C2×D5 | — | 80 | 2 | no | — |
| 672 | C2×D5 | — | 80 | 2 | no | — |
| 673 | C2×D5 | — | 80 | 4 | no | — |
| 674 | C2×D5 | — | 80 | 4 | no | — |
| 675 | C2×D5 | — | 80 | 4 | no | — |
| 676 | AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 677 | AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 678 | AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 679 | C4×C5 | — | 2 | 4 | no | — |
| 680 | C4×C5 | — | 2 | 4 | no | — |
| 681 | C4×C5 | — | 4 | 4 | no | — |
| 682 | C4×C5 | C2×D4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 683 | Dic5 | — | 5 | 4 | no | — |
| 684 | Dic5 | — | 10 | 4 | no | — |
| 685 | Dic5 | — | 10 | 4 | no | — |
| 686 | Dic5 | — | 20 | 4 | no | — |
| 687 | C24 | — | 50 | 1 | no | — |
| 688 | C24 | — | 50 | 1 | no | — |
| 689 | C24 | — | 50 | 2 | no | — |
| 690 | C2×D4 | — | 4 | 1 | no | — |
| 691 | C2×D4 | — | 5 | 4 | no | — |
| 692 | C2×D4 | — | 20 | 2 | no | — |
| 693 | C2×D4 | — | 25 | 1 | no | — |
| 694 | C2×D4 | — | 25 | 1 | no | — |
| 695 | C2×D4 | — | 50 | 2 | no | — |
| 696 | C2×D4 | — | 50 | 2 | no | — |
| 697 | C2×D4 | — | 50 | 2 | no | — |
| 698 | C2×D4 | — | 50 | 2 | no | — |
| 699 | C2×D4 | — | 50 | 2 | no | — |
| 700 | C2×D4 | — | 50 | 2 | no | — |
| 701 | C2×D4 | — | 50 | 2 | no | — |
| 702 | C2×D4 | — | 50 | 2 | no | — |
| 703 | C2×D4 | — | 50 | 1 | no | — |
| 704 | C2×D4 | — | 50 | 1 | no | — |
| 705 | C2×D4 | — | 50 | 2 | no | — |
| 706 | C2×D4 | — | 100 | 1 | no | — |
| 707 | C2×D4 | — | 100 | 1 | no | — |
| 708 | C2×D4 | — | 100 | 1 | no | — |
| 709 | C2×D4 | — | 100 | 2 | no | — |
| 710 | C2×D4 | — | 200 | 4 | no | — |
| 711 | C2×D4 | — | 200 | 4 | no | — |
| 712 | C2×D4 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 713 | C2×D4 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 714 | C22×C4 | — | 25 | 1 | no | — |
| 715 | C22×C4 | — | 50 | 1 | no | — |
| 716 | C22×C4 | — | 100 | 2 | no | — |
| 717 | C22×C4 | — | 100 | 4 | no | — |
| 718 | C22×C4 | — | 100 | 2 | no | — |
| 719 | D8 | — | 10 | 4 | no | — |
| 720 | D8 | — | 10 | 4 | no | — |
| 721 | D8 | — | 10 | 4 | no | — |
| 722 | D8 | — | 10 | 4 | no | — |
| 723 | D8 | — | 50 | 4 | no | — |
| 724 | D8 | — | 50 | 4 | no | — |
| 725 | D8 | — | 50 | 4 | no | — |
| 726 | D8 | — | 50 | 4 | no | — |
| 727 | M16 | — | 50 | 2 | no | — |
| 728 | M16 | — | 50 | 2 | no | — |
| 729 | M16 | — | 50 | 2 | no | — |
| 730 | M16 | — | 50 | 2 | no | — |
| 731 | C2×C8 | — | 5 | 4 | no | — |
| 732 | C2×C8 | — | 25 | 2 | no | — |
| 733 | C2×C8 | — | 25 | 2 | no | — |
| 734 | C2×C8 | — | 25 | 4 | no | — |
| 735 | C2×C8 | — | 50 | 2 | no | — |
| 736 | C2×C8 | — | 50 | 2 | no | — |
| 737 | C4⋊C4 | — | 25 | 4 | no | — |
| 738 | C4⋊C4 | — | 25 | 4 | no | — |
| 739 | C22⋊C4 | — | 50 | 2 | no | — |
| 740 | C22⋊C4 | — | 50 | 2 | no | — |
| 741 | C22⋊C4 | — | 100 | 2 | no | — |
| 742 | C22⋊C4 | — | 100 | 4 | no | — |
| 743 | C22⋊C4 | — | 100 | 2 | no | — |
| 744 | C42 | — | 25 | 1 | no | — |
| 745 | C42 | — | 50 | 1 | no | — |
| 746 | C42 | — | 50 | 2 | no | — |
| 747 | C42 | — | 50 | 2 | no | — |
| 748 | C42 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 749 | C2×C5 | — | 2 | 2 | no | — |
| 750 | C2×C5 | — | 2 | 2 | no | — |
| 751 | C2×C5 | — | 4 | 2 | no | — |
| 752 | C2×C5 | — | 8 | 4 | no | — |
| 753 | C2×C5 | — | 8 | 2 | no | — |
| 754 | C2×C5 | — | 8 | 2 | no | — |
| 755 | C2×C5 | — | 16 | 2 | no | — |
| 756 | C2×C5 | — | 40 | 4 | no | — |
| 757 | C2×C5 | #10617369 | 1 | 2 | yes | — |
| 758 | D5 | — | 5 | 4 | no | — |
| 759 | D5 | — | 8 | 4 | no | — |
| 760 | D5 | — | 10 | 4 | no | — |
| 761 | D5 | — | 10 | 2 | no | — |
| 762 | D5 | — | 20 | 2 | no | — |
| 763 | D5 | — | 40 | 4 | no | — |
| 764 | D5 | — | 40 | 2 | no | — |
| 765 | D5 | — | 40 | 2 | no | — |
| 766 | D5 | — | 80 | 2 | no | — |
| 767 | C23 | — | 2 | 1 | no | — |
| 768 | C23 | — | 2 | 1 | no | — |
| 769 | C23 | — | 10 | 4 | no | — |
| 770 | C23 | — | 25 | 1 | no | — |
| 771 | C23 | — | 50 | 1 | no | — |
| 772 | C23 | — | 50 | 1 | no | — |
| 773 | C23 | — | 100 | 1 | no | — |
| 774 | C23 | — | 100 | 1 | no | — |
| 775 | C23 | — | 100 | 1 | no | — |
| 776 | C23 | — | 100 | 1 | no | — |
| 777 | C23 | — | 100 | 2 | no | — |
| 778 | C23 | — | 100 | 2 | no | — |
| 779 | C23 | — | 200 | 2 | no | — |
| 780 | C23 | — | 200 | 2 | no | — |
| 781 | C23 | — | 200 | 4 | no | — |
| 782 | D4 | — | 2 | 2 | no | — |
| 783 | D4 | — | 2 | 2 | no | — |
| 784 | D4 | — | 8 | 2 | no | — |
| 785 | D4 | — | 10 | 4 | no | — |
| 786 | D4 | — | 10 | 4 | no | — |
| 787 | D4 | — | 40 | 4 | no | — |
| 788 | D4 | — | 50 | 2 | no | — |
| 789 | D4 | — | 50 | 2 | no | — |
| 790 | D4 | — | 100 | 2 | no | — |
| 791 | D4 | — | 100 | 2 | no | — |
| 792 | D4 | — | 100 | 2 | no | — |
| 793 | D4 | — | 100 | 2 | no | — |
| 794 | D4 | — | 200 | 2 | no | — |
| 795 | D4 | — | 200 | 2 | no | — |
| 796 | D4 | — | 200 | 2 | no | — |
| 797 | D4 | — | 200 | 4 | no | — |
| 798 | C2×C4 | — | 2 | 1 | no | — |
| 799 | C2×C4 | — | 25 | 1 | no | — |
| 800 | C2×C4 | — | 25 | 2 | no | — |
| 801 | C2×C4 | — | 25 | 2 | no | — |
| 802 | C2×C4 | — | 50 | 4 | no | — |
| 803 | C2×C4 | — | 50 | 1 | no | — |
| 804 | C2×C4 | — | 50 | 4 | no | — |
| 805 | C2×C4 | — | 50 | 4 | no | — |
| 806 | C2×C4 | — | 400 | 2 | no | — |
| 807 | C2×C4 | — | 400 | 4 | no | — |
| 808 | C2×C4 | — | 400 | 2 | no | — |
| 809 | C2×C4 | C22×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 810 | C8 | — | 5 | 4 | no | — |
| 811 | C8 | — | 5 | 4 | no | — |
| 812 | C8 | — | 100 | 2 | no | — |
| 813 | C8 | — | 100 | 2 | no | — |
| 814 | C5 | — | 2 | 2 | no | — |
| 815 | C5 | #13042040 | 1 | 2 | yes | complemented |
| 816 | C22 | — | 4 | 1 | no | — |
| 817 | C22 | — | 4 | 1 | no | — |
| 818 | C22 | — | 8 | 1 | no | — |
| 819 | C22 | — | 8 | 1 | no | — |
| 820 | C22 | — | 20 | 4 | no | — |
| 821 | C22 | — | 25 | 1 | no | — |
| 822 | C22 | — | 25 | 1 | no | — |
| 823 | C22 | — | 40 | 4 | no | — |
| 824 | C22 | — | 50 | 2 | no | — |
| 825 | C22 | — | 100 | 1 | no | — |
| 826 | C22 | — | 100 | 1 | no | — |
| 827 | C22 | — | 400 | 1 | no | — |
| 828 | C22 | — | 400 | 1 | no | — |
| 829 | C22 | — | 400 | 2 | no | — |
| 830 | C22 | — | 200 | 1 | no | — |
| 831 | C22 | — | 200 | 1 | no | — |
| 832 | C22 | — | 200 | 2 | no | — |
| 833 | C22 | — | 200 | 2 | no | — |
| 834 | C22 | — | 200 | 4 | no | — |
| 835 | C22 | #13107590 | 1 | 1 | yes | characteristic |
| 836 | C4 | — | 2 | 2 | no | — |
| 837 | C4 | — | 25 | 2 | no | — |
| 838 | C4 | — | 50 | 2 | no | — |
| 839 | C4 | — | 100 | 4 | no | — |
| 840 | C4 | — | 100 | 4 | no | — |
| 841 | C4 | D4×D5⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 842 | C2 | — | 2 | 1 | no | — |
| 843 | C2 | — | 8 | 1 | no | — |
| 844 | C2 | — | 8 | 1 | no | — |
| 845 | C2 | — | 25 | 2 | no | — |
| 846 | C2 | — | 40 | 4 | no | — |
| 847 | C2 | — | 50 | 1 | no | — |
| 848 | C2 | — | 200 | 1 | no | — |
| 849 | C2 | — | 200 | 1 | no | — |
| 850 | C2 | #72223528 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #72221309 | C2 | semidirect |
| 3. #72221285 | C2 | semidirect |
| 4. #72221276 | C2 | semidirect |
| 5. #72221267 | C2 | semidirect |
| 6. #72221262 | C2 | semidirect |
| 7. #72221214 | C2 | semidirect |
| 8. #72220979 | C2 | semidirect |
| 9. #72213464 | C2 | semidirect |
| 32. C5×#65362 | C4 | semidirect |
| 33. #13101687 | C4 | semidirect |
| 34. #13101687 | C4 | semidirect |
| 35. #13100528 | C4 | semidirect |
| 56. C52×#127 | C2×C4 | semidirect |
| 58. #11717260 | C2×C4 | semidirect |
| 59. #11717260 | C2×C4 | semidirect |
| 60. #11717194 | C2×C4 | semidirect |
| 62. C2×C5×#686 | C2×C4 | semidirect |
| 63. C2×C5×#686 | C2×C4 | semidirect |
| 64. C5×#4020 | C2×C4 | semidirect |
| 72. #11717032 | C2×C4 | semidirect |
| 73. C2×#87771 | C2×C4 | semidirect |
| 74. C2×#87771 | C2×C4 | semidirect |
| 82. #11716772 | D4 | semidirect |
| 83. #11716771 | D4 | semidirect |
| 90. C4×C5×#168 | C2×C4 | semidirect |
| 91. #11716594 | C2×C4 | semidirect |
| 194. #65362 | AGL(1,𝔽5) | semidirect |
| 275. C5×#127 | C2×AGL(1,𝔽5) | semidirect |
| 286. C2×#686 | C2×AGL(1,𝔽5) | semidirect |
| 287. C2×#686 | C2×AGL(1,𝔽5) | semidirect |
| 301. #4020 | C2×AGL(1,𝔽5) | semidirect |
| 323. C4×#168 | C2×AGL(1,𝔽5) | semidirect |
| 610. #127 | D5⋊AGL(1,𝔽5) | semidirect |
| 637. C52 | #23201 | semidirect |
| 815. C5 | #13042040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72221318 | 2 |
| #72221309 | 2 |
| #72221285 | 2 |
| #72221276 | 2 |
| #72221267 | 2 |
| #72221262 | 2 |
| #72221214 | 2 |
| #72220979 | 2 |
| #72213464 | 2 |
| #13042040 | 5 |