Finite Group DatabasebetaFinite Group DatabasebetaOrder 6400.
2776 conjugacy classes of subgroups; only the 242 normal subgroups are shown.
This group has 2776 conjugacy classes of subgroups — too many to draw. Only its 242 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72223038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72221171 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72220933 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72220933 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C5⋊D5×#493 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×D8×C5⋊D5 | — | 2 | 2 | no | — |
| 7 | #127×C5⋊D5 | C22 | 1 | 2 | yes | — |
| 8 | C2×#11716875 | — | 2 | 4 | no | — |
| 9 | C2×#11716875 | — | 2 | 4 | no | — |
| 10 | #13104700 | C22 | 1 | 2 | yes | — |
| 11 | C4×#87855 | C22 | 1 | 1 | yes | characteristic |
| 12 | C4×#87855 | C22 | 1 | 1 | yes | characteristic |
| 13 | C52×#493 | C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | #13103011 | — | 2 | 2 | no | — |
| 15 | #13102935 | C4 | 1 | 2 | yes | complemented |
| 16 | #13102558 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | C4×C8×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 18 | #13100271 | — | 2 | 2 | no | — |
| 19 | #13100257 | — | 2 | 2 | no | — |
| 20 | #13021333 | — | 5 | 6 | no | maximal |
| 21 | C2×D4×C5⋊D5 | — | 2 | 2 | no | — |
| 22 | C2×D4×C5⋊D5 | — | 2 | 2 | no | — |
| 23 | C2×D4×C5⋊D5 | — | 2 | 2 | no | — |
| 24 | C2×C4⋊#1043 | — | 2 | 2 | no | — |
| 25 | C2×C4⋊#1043 | — | 2 | 2 | no | — |
| 26 | C2×C4⋊#1043 | — | 2 | 2 | no | — |
| 27 | C2×#87855 | D4 | 1 | 2 | yes | — |
| 28 | C2×#87855 | D4 | 1 | 2 | yes | — |
| 29 | C2×C52×D8 | — | 2 | 2 | no | — |
| 30 | C52×#127 | C2×C4 | 1 | 2 | yes | — |
| 31 | #11717260 | — | 2 | 2 | no | — |
| 32 | #11717260 | — | 2 | 2 | no | — |
| 33 | #11717260 | — | 2 | 2 | no | — |
| 34 | C2×#87809 | — | 2 | 4 | no | — |
| 35 | D8×C5⋊D5 | — | 4 | 8 | no | — |
| 36 | C2×#87801 | — | 2 | 2 | no | — |
| 37 | C2×C8×C5⋊D5 | D4 | 1 | 2 | yes | — |
| 38 | #11717194 | C2×C4 | 1 | 2 | yes | — |
| 39 | C42×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 40 | #11716875 | — | 4 | 8 | no | — |
| 41 | #11716875 | — | 4 | 8 | no | — |
| 42 | C4×#6033 | — | 2 | 1 | no | — |
| 43 | C4×#6033 | — | 2 | 1 | no | — |
| 44 | C4×#6033 | — | 2 | 1 | no | — |
| 45 | C4×#6033 | — | 2 | 1 | no | — |
| 46 | C4×C52×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C8×#1039 | D4 | 1 | 2 | yes | — |
| 48 | C4×#6029 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | D5×#493 | — | 5 | 6 | no | — |
| 50 | #10604616 | — | 5 | 12 | no | — |
| 51 | #10604616 | — | 5 | 12 | no | — |
| 52 | #10603845 | — | 5 | 6 | no | — |
| 53 | #10603806 | — | 5 | 6 | no | — |
| 54 | C23×C5⋊D5 | — | 4 | 2 | no | — |
| 55 | C22×#1043 | — | 4 | 2 | no | — |
| 56 | C2×C52×D4 | — | 2 | 2 | no | — |
| 57 | C2×C52×D4 | — | 2 | 2 | no | — |
| 58 | C2×C52×D4 | — | 2 | 2 | no | — |
| 59 | C2×C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 60 | C2×C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 61 | C2×C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 62 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 63 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 64 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 65 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 66 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 67 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 68 | C2×C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 69 | C2×C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 70 | C2×C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 71 | C2×C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 72 | C2×C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 73 | C2×C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 74 | C2×#6033 | — | 2 | 2 | no | — |
| 75 | C2×#6033 | — | 2 | 2 | no | — |
| 76 | C4⋊#1043 | — | 4 | 4 | no | — |
| 77 | C4⋊#1043 | — | 4 | 4 | no | — |
| 78 | C4⋊#1043 | — | 4 | 4 | no | — |
| 79 | #87855 | — | 2 | 2 | no | — |
| 80 | #87855 | — | 2 | 4 | no | — |
| 81 | #87855 | D8 | 1 | 4 | yes | complemented |
| 82 | C52×D8 | — | 4 | 4 | no | — |
| 83 | C2×C52×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 84 | C42×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 85 | #87809 | — | 4 | 8 | no | — |
| 86 | C4×#1039 | C2×D4 | 1 | 1 | yes | characteristic |
| 87 | C4×#1039 | #41 | 1 | 1 | yes | characteristic |
| 88 | C4×#1039 | #41 | 1 | 1 | yes | characteristic |
| 89 | C2×#6029 | C22⋊C4 | 1 | 2 | yes | — |
| 90 | #87801 | — | 4 | 4 | no | — |
| 91 | C8×C5⋊D5 | — | 2 | 4 | no | — |
| 92 | C2×D5×D8 | — | 10 | 12 | no | — |
| 93 | D5×#127 | — | 5 | 12 | no | — |
| 94 | C2×#4007 | — | 10 | 24 | no | — |
| 95 | C2×#4007 | — | 10 | 24 | no | — |
| 96 | #65688 | — | 5 | 12 | no | — |
| 97 | C4×D5⋊C8 | — | 5 | 6 | no | — |
| 98 | C4×D5⋊C8 | — | 5 | 6 | no | — |
| 99 | C5×#493 | AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 100 | #65440 | — | 10 | 12 | no | — |
| 101 | #65362 | — | 5 | 12 | no | — |
| 102 | #64984 | — | 5 | 6 | no | — |
| 103 | C4×C8×D5 | — | 5 | 6 | no | — |
| 104 | #64893 | — | 10 | 12 | no | — |
| 105 | #170⋊C8 | — | 10 | 12 | no | — |
| 106 | #9832 | — | 25 | 1 | no | Sylow |
| 107 | C23×C52 | — | 4 | 2 | no | — |
| 108 | C22×C5⋊D5 | — | 4 | 2 | no | — |
| 109 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 110 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 111 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 112 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 113 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 114 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 115 | C22×C5⋊D5 | #127 | 1 | 1 | yes | characteristic |
| 116 | C2×#1043 | — | 8 | 2 | no | — |
| 117 | C2×#1043 | — | 8 | 2 | no | — |
| 118 | C2×#1043 | — | 8 | 2 | no | — |
| 119 | C52×D4 | — | 4 | 4 | no | — |
| 120 | C52×D4 | — | 4 | 4 | no | — |
| 121 | C52×D4 | — | 4 | 4 | no | — |
| 122 | C2×C4×C52 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 123 | C2×C4×C52 | C4×D4 | 1 | 1 | yes | characteristic |
| 124 | C2×C4×C52 | C4×D4 | 1 | 1 | yes | characteristic |
| 125 | C22⋊(C5⋊D5) | — | 8 | 4 | no | — |
| 126 | C22⋊(C5⋊D5) | — | 8 | 4 | no | — |
| 127 | C22⋊(C5⋊D5) | — | 8 | 4 | no | — |
| 128 | C2×#1039 | #121 | 1 | 1 | yes | characteristic |
| 129 | C2×#1039 | #121 | 1 | 1 | yes | characteristic |
| 130 | C2×#1039 | #124 | 1 | 1 | yes | characteristic |
| 131 | C4⋊(C5⋊D5) | — | 4 | 4 | no | — |
| 132 | C4⋊(C5⋊D5) | — | 4 | 4 | no | — |
| 133 | C4⋊(C5⋊D5) | — | 4 | 4 | no | — |
| 134 | C4×C5⋊D5 | C2×D8 | 1 | 2 | yes | — |
| 135 | C4×C5⋊D5 | #135 | 1 | 2 | yes | — |
| 136 | C4×C5⋊D5 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 137 | C4×C5⋊D5 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 138 | #6033 | — | 2 | 4 | no | — |
| 139 | #6033 | — | 4 | 2 | no | — |
| 140 | C52×C8 | — | 2 | 2 | no | — |
| 141 | #6029 | — | 2 | 2 | no | — |
| 142 | C2×D4×D5 | — | 10 | 12 | no | — |
| 143 | C2×D4×D5 | — | 10 | 12 | no | — |
| 144 | C2×D4×D5 | — | 10 | 12 | no | — |
| 145 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 12 | no | — |
| 146 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 12 | no | — |
| 147 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 12 | no | — |
| 148 | C2×D5⋊C8 | — | 5 | 12 | no | — |
| 149 | C2×D5⋊C8 | — | 5 | 12 | no | — |
| 150 | C2×C5×D8 | — | 2 | 12 | no | — |
| 151 | C5×#127 | C2×AGL(1,𝔽5) | 1 | 12 | yes | — |
| 152 | #4086 | — | 10 | 12 | no | — |
| 153 | #4086 | — | 10 | 12 | no | — |
| 154 | #4086 | — | 10 | 12 | no | — |
| 155 | C2×#686 | — | 10 | 24 | no | — |
| 156 | D5×D8 | — | 20 | 48 | no | — |
| 157 | C2×D40 | — | 10 | 12 | no | — |
| 158 | C2×C8×D5 | — | 5 | 12 | no | — |
| 159 | #4020 | — | 5 | 12 | no | — |
| 160 | C42×D5 | — | 5 | 6 | no | — |
| 161 | #4007 | — | 20 | 48 | no | — |
| 162 | #4007 | — | 20 | 48 | no | — |
| 163 | C4×#170 | — | 10 | 6 | no | — |
| 164 | C4×#170 | — | 10 | 6 | no | — |
| 165 | C4×#170 | — | 10 | 6 | no | — |
| 166 | C4×#170 | — | 10 | 6 | no | — |
| 167 | C4×C5×C8 | C2×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 168 | C8×Dic5 | — | 5 | 12 | no | — |
| 169 | C4×#168 | — | 5 | 6 | no | — |
| 170 | C2×#493 | — | 25 | 1 | no | — |
| 171 | #1957 | — | 25 | 2 | no | — |
| 172 | #1957 | — | 25 | 2 | no | — |
| 173 | #1834 | — | 25 | 1 | no | — |
| 174 | C2×#322 | — | 25 | 1 | no | — |
| 175 | C22×C52 | — | 8 | 2 | no | — |
| 176 | C22×C52 | — | 8 | 2 | no | — |
| 177 | C22×C52 | — | 8 | 2 | no | — |
| 178 | C22×C52 | #390 | 1 | 1 | yes | characteristic |
| 179 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 180 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 181 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 182 | C2×C5⋊D5 | — | 16 | 2 | no | — |
| 183 | C2×C5⋊D5 | — | 16 | 2 | no | — |
| 184 | C2×C5⋊D5 | — | 16 | 2 | no | — |
| 185 | C2×C5⋊D5 | — | 16 | 2 | no | — |
| 186 | C2×C5⋊D5 | #493 | 1 | 1 | yes | characteristic |
| 187 | C2×C5⋊D5 | #495 | 1 | 1 | yes | characteristic |
| 188 | C2×C5⋊D5 | #496 | 1 | 2 | yes | — |
| 189 | C2×C5⋊D5 | #496 | 1 | 2 | yes | — |
| 190 | #1043 | — | 16 | 2 | no | — |
| 191 | C4×C52 | #418 | 1 | 2 | yes | — |
| 192 | C4×C52 | C4×D8 | 1 | 2 | yes | — |
| 193 | C4×C52 | #442 | 1 | 2 | yes | — |
| 194 | #1039 | #466 | 1 | 2 | yes | — |
| 195 | #1039 | #469 | 1 | 2 | yes | — |
| 196 | #1039 | #490 | 1 | 2 | yes | — |
| 197 | C23×D5 | — | 20 | 12 | no | — |
| 198 | C22×AGL(1,𝔽5) | — | 20 | 12 | no | — |
| 199 | C2×C5×D4 | — | 2 | 12 | no | — |
| 200 | C2×C5×D4 | — | 2 | 12 | no | — |
| 201 | C2×C5×D4 | — | 2 | 12 | no | — |
| 202 | C2×C22⋊D5 | — | 20 | 12 | no | — |
| 203 | C2×C22⋊D5 | — | 20 | 12 | no | — |
| 204 | C2×C22⋊D5 | — | 20 | 12 | no | — |
| 205 | D4×D5 | — | 20 | 24 | no | — |
| 206 | D4×D5 | — | 20 | 24 | no | — |
| 207 | D4×D5 | — | 20 | 24 | no | — |
| 208 | D4×D5 | — | 20 | 24 | no | — |
| 209 | D4×D5 | — | 20 | 24 | no | — |
| 210 | D4×D5 | — | 20 | 24 | no | — |
| 211 | C2×D20 | — | 10 | 12 | no | — |
| 212 | C2×D20 | — | 10 | 12 | no | — |
| 213 | C2×D20 | — | 10 | 12 | no | — |
| 214 | C2×C4×D5 | — | 5 | 6 | no | — |
| 215 | C2×C4×D5 | — | 5 | 6 | no | — |
| 216 | C2×C4×D5 | — | 5 | 6 | no | — |
| 217 | C2×#170 | — | 10 | 12 | no | — |
| 218 | C2×#170 | — | 10 | 12 | no | — |
| 219 | C4⋊AGL(1,𝔽5) | — | 20 | 24 | no | — |
| 220 | C4⋊AGL(1,𝔽5) | — | 20 | 24 | no | — |
| 221 | C4⋊AGL(1,𝔽5) | — | 20 | 24 | no | — |
| 222 | D5⋊C8 | — | 5 | 24 | no | — |
| 223 | D5⋊C8 | — | 10 | 12 | no | — |
| 224 | D5⋊C8 | — | 10 | 24 | no | — |
| 225 | C5×D8 | — | 4 | 24 | no | — |
| 226 | C2×C5×C8 | C22⋊AGL(1,𝔽5) | 1 | 12 | yes | — |
| 227 | C42×C5 | C22×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 228 | #686 | — | 20 | 48 | no | — |
| 229 | C4×Dic5 | — | 5 | 6 | no | — |
| 230 | C4×Dic5 | — | 5 | 6 | no | — |
| 231 | C4×Dic5 | — | 5 | 6 | no | — |
| 232 | C2×#168 | — | 5 | 12 | no | — |
| 233 | D40 | — | 20 | 24 | no | — |
| 234 | C8×D5 | — | 10 | 24 | no | — |
| 235 | C22×D8 | — | 50 | 2 | no | — |
| 236 | C2×#127 | — | 25 | 2 | no | — |
| 237 | #493 | — | 25 | 2 | no | — |
| 238 | #493 | — | 25 | 1 | no | — |
| 239 | #493 | — | 50 | 2 | no | — |
| 240 | #493 | #1043 | 1 | 1 | yes | characteristic, complemented |
| 241 | C2×#102 | — | 50 | 4 | no | — |
| 242 | C2×#102 | — | 50 | 4 | no | — |
| 243 | C2×C4×C8 | — | 25 | 1 | no | — |
| 244 | C2×C4×C8 | — | 25 | 1 | no | — |
| 245 | C2×C4×C8 | — | 25 | 1 | no | — |
| 246 | #384 | — | 25 | 2 | no | — |
| 247 | #340 | — | 50 | 2 | no | — |
| 248 | #322 | — | 50 | 2 | no | — |
| 249 | C2×C52 | — | 16 | 2 | no | — |
| 250 | C2×C52 | #1961 | 1 | 1 | yes | characteristic |
| 251 | C2×C52 | #1970 | 1 | 1 | yes | characteristic |
| 252 | C2×C52 | #1972 | 1 | 1 | yes | characteristic |
| 253 | C5⋊D5 | — | 16 | 2 | no | — |
| 254 | C5⋊D5 | #1717 | 1 | 2 | yes | — |
| 255 | C5⋊D5 | #1721 | 1 | 2 | yes | — |
| 256 | C23×C5 | — | 4 | 12 | no | — |
| 257 | C22×D5 | — | 5 | 6 | no | — |
| 258 | C22×D5 | — | 20 | 12 | no | — |
| 259 | C22×D5 | — | 40 | 12 | no | — |
| 260 | C22×D5 | — | 40 | 12 | no | — |
| 261 | C22×D5 | — | 40 | 12 | no | — |
| 262 | C22×D5 | — | 40 | 12 | no | — |
| 263 | C22×D5 | — | 40 | 12 | no | — |
| 264 | C22×D5 | — | 40 | 12 | no | — |
| 265 | C2×AGL(1,𝔽5) | — | 40 | 12 | no | — |
| 266 | C2×AGL(1,𝔽5) | — | 40 | 12 | no | — |
| 267 | C2×AGL(1,𝔽5) | — | 40 | 12 | no | — |
| 268 | C5×D4 | — | 4 | 24 | no | — |
| 269 | C5×D4 | — | 4 | 24 | no | — |
| 270 | C5×D4 | — | 4 | 24 | no | — |
| 271 | C2×C4×C5 | D4×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 272 | C2×C4×C5 | D4×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 273 | C2×C4×C5 | C2×C22⋊AGL(1,𝔽5) | 1 | 6 | yes | — |
| 274 | C22⋊D5 | — | 40 | 24 | no | — |
| 275 | C22⋊D5 | — | 40 | 24 | no | — |
| 276 | C22⋊D5 | — | 40 | 24 | no | — |
| 277 | C2×Dic5 | — | 5 | 6 | no | — |
| 278 | C2×Dic5 | — | 5 | 6 | no | — |
| 279 | C2×Dic5 | — | 5 | 6 | no | — |
| 280 | D20 | — | 20 | 24 | no | — |
| 281 | D20 | — | 20 | 24 | no | — |
| 282 | D20 | — | 20 | 24 | no | — |
| 283 | C4×D5 | — | 5 | 12 | no | — |
| 284 | C4×D5 | — | 5 | 12 | no | — |
| 285 | C4×D5 | — | 5 | 24 | no | — |
| 286 | C4×D5 | — | 5 | 24 | no | — |
| 287 | #170 | — | 10 | 24 | no | — |
| 288 | #170 | — | 20 | 12 | no | — |
| 289 | C5×C8 | — | 2 | 12 | no | — |
| 290 | #168 | — | 10 | 12 | no | — |
| 291 | C22×D4 | — | 50 | 2 | no | — |
| 292 | C22×D4 | — | 50 | 2 | no | — |
| 293 | C22×D4 | — | 50 | 2 | no | — |
| 294 | C2×D8 | — | 2 | 2 | no | — |
| 295 | C2×D8 | — | 50 | 4 | no | — |
| 296 | C2×D8 | — | 50 | 2 | no | — |
| 297 | C2×D8 | — | 100 | 8 | no | — |
| 298 | C22×C8 | — | 25 | 2 | no | — |
| 299 | C22×C8 | — | 25 | 2 | no | — |
| 300 | C22×C8 | — | 25 | 2 | no | — |
| 301 | #127 | — | 25 | 2 | no | — |
| 302 | #127 | — | 50 | 2 | no | — |
| 303 | #127 | — | 50 | 2 | no | — |
| 304 | #127 | — | 50 | 2 | no | — |
| 305 | #127 | C2×#1043 | 1 | 2 | yes | — |
| 306 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 307 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 308 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 309 | C2×C42 | — | 25 | 1 | no | — |
| 310 | #102 | — | 100 | 8 | no | — |
| 311 | #102 | — | 100 | 8 | no | — |
| 312 | C4×C8 | — | 25 | 2 | no | — |
| 313 | C4×C8 | — | 25 | 1 | no | — |
| 314 | C4×C8 | — | 50 | 1 | no | — |
| 315 | C4×C8 | — | 50 | 1 | no | — |
| 316 | C4×C8 | — | 50 | 1 | no | — |
| 317 | C4×C8 | — | 50 | 1 | no | — |
| 318 | C4×C8 | C2×#1043 | 1 | 1 | yes | characteristic |
| 319 | C52 | #9832 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 320 | C22×C5 | — | 8 | 12 | no | — |
| 321 | C22×C5 | — | 8 | 12 | no | — |
| 322 | C22×C5 | — | 8 | 12 | no | — |
| 323 | C22×C5 | #65780 | 1 | 6 | yes | — |
| 324 | C2×D5 | — | 5 | 6 | no | — |
| 325 | C2×D5 | — | 5 | 6 | no | — |
| 326 | C2×D5 | — | 5 | 12 | no | — |
| 327 | C2×D5 | — | 5 | 12 | no | — |
| 328 | C2×D5 | — | 40 | 12 | no | — |
| 329 | C2×D5 | — | 40 | 12 | no | — |
| 330 | C2×D5 | — | 40 | 12 | no | — |
| 331 | C2×D5 | — | 80 | 12 | no | — |
| 332 | C2×D5 | — | 80 | 12 | no | — |
| 333 | C2×D5 | — | 80 | 12 | no | — |
| 334 | C2×D5 | — | 80 | 12 | no | — |
| 335 | AGL(1,𝔽5) | — | 80 | 12 | no | — |
| 336 | C4×C5 | D8×AGL(1,𝔽5) | 1 | 12 | yes | — |
| 337 | C4×C5 | #65731 | 1 | 12 | yes | — |
| 338 | C4×C5 | #65767 | 1 | 12 | yes | — |
| 339 | Dic5 | — | 5 | 12 | no | — |
| 340 | Dic5 | — | 5 | 12 | no | — |
| 341 | Dic5 | — | 5 | 12 | no | — |
| 342 | C24 | — | 100 | 2 | no | — |
| 343 | C2×D4 | — | 2 | 2 | no | — |
| 344 | C2×D4 | — | 2 | 2 | no | — |
| 345 | C2×D4 | — | 2 | 2 | no | — |
| 346 | C2×D4 | — | 50 | 2 | no | — |
| 347 | C2×D4 | — | 50 | 2 | no | — |
| 348 | C2×D4 | — | 50 | 2 | no | — |
| 349 | C2×D4 | — | 100 | 4 | no | — |
| 350 | C2×D4 | — | 100 | 4 | no | — |
| 351 | C2×D4 | — | 100 | 4 | no | — |
| 352 | C2×D4 | — | 100 | 4 | no | — |
| 353 | C2×D4 | — | 100 | 4 | no | — |
| 354 | C2×D4 | — | 100 | 4 | no | — |
| 355 | C2×D4 | — | 100 | 2 | no | — |
| 356 | C2×D4 | — | 100 | 2 | no | — |
| 357 | C2×D4 | — | 100 | 2 | no | — |
| 358 | C22×C4 | — | 25 | 1 | no | — |
| 359 | C22×C4 | — | 25 | 1 | no | — |
| 360 | C22×C4 | — | 25 | 1 | no | — |
| 361 | C22×C4 | — | 100 | 2 | no | — |
| 362 | D8 | — | 4 | 4 | no | — |
| 363 | D8 | — | 100 | 4 | no | — |
| 364 | D8 | — | 100 | 8 | no | — |
| 365 | C2×C8 | — | 25 | 4 | no | — |
| 366 | C2×C8 | — | 25 | 2 | no | — |
| 367 | C2×C8 | — | 50 | 4 | no | — |
| 368 | C2×C8 | — | 50 | 2 | no | — |
| 369 | C2×C8 | — | 50 | 2 | no | — |
| 370 | C2×C8 | — | 50 | 2 | no | — |
| 371 | C2×C8 | — | 50 | 4 | no | — |
| 372 | C2×C8 | C22⋊#1043 | 1 | 2 | yes | — |
| 373 | C4⋊C4 | — | 100 | 4 | no | — |
| 374 | C4⋊C4 | — | 100 | 4 | no | — |
| 375 | C4⋊C4 | — | 100 | 4 | no | — |
| 376 | C42 | — | 25 | 1 | no | — |
| 377 | C42 | — | 25 | 1 | no | — |
| 378 | C42 | — | 25 | 1 | no | — |
| 379 | C42 | C22×#1043 | 1 | 1 | yes | characteristic |
| 380 | C2×C5 | — | 16 | 12 | no | — |
| 381 | C2×C5 | #10604617 | 1 | 6 | yes | — |
| 382 | C2×C5 | #10604802 | 1 | 6 | yes | — |
| 383 | C2×C5 | #10604803 | 1 | 6 | yes | — |
| 384 | D5 | — | 5 | 12 | no | — |
| 385 | D5 | — | 5 | 12 | no | — |
| 386 | D5 | — | 80 | 12 | no | — |
| 387 | C23 | — | 4 | 2 | no | — |
| 388 | C23 | — | 25 | 1 | no | — |
| 389 | C23 | — | 100 | 2 | no | — |
| 390 | C23 | — | 200 | 2 | no | — |
| 391 | C23 | — | 200 | 2 | no | — |
| 392 | C23 | — | 200 | 2 | no | — |
| 393 | C23 | — | 200 | 2 | no | — |
| 394 | C23 | — | 200 | 2 | no | — |
| 395 | C23 | — | 200 | 2 | no | — |
| 396 | D4 | — | 4 | 4 | no | — |
| 397 | D4 | — | 4 | 4 | no | — |
| 398 | D4 | — | 4 | 4 | no | — |
| 399 | D4 | — | 100 | 4 | no | — |
| 400 | D4 | — | 100 | 4 | no | — |
| 401 | D4 | — | 100 | 4 | no | — |
| 402 | D4 | — | 200 | 4 | no | — |
| 403 | D4 | — | 200 | 4 | no | — |
| 404 | D4 | — | 200 | 4 | no | — |
| 405 | C2×C4 | — | 25 | 1 | no | — |
| 406 | C2×C4 | — | 25 | 1 | no | — |
| 407 | C2×C4 | — | 25 | 1 | no | — |
| 408 | C2×C4 | — | 25 | 2 | no | — |
| 409 | C2×C4 | — | 25 | 2 | no | — |
| 410 | C2×C4 | — | 25 | 4 | no | — |
| 411 | C2×C4 | — | 25 | 4 | no | — |
| 412 | C2×C4 | — | 200 | 2 | no | — |
| 413 | C2×C4 | — | 200 | 2 | no | — |
| 414 | C2×C4 | — | 200 | 2 | no | — |
| 415 | C2×C4 | D4×#1043 | 1 | 1 | yes | characteristic |
| 416 | C2×C4 | D4×#1043 | 1 | 1 | yes | characteristic |
| 417 | C2×C4 | C2×C22⋊#1043 | 1 | 1 | yes | characteristic |
| 418 | C8 | — | 2 | 2 | no | — |
| 419 | C8 | — | 50 | 4 | no | — |
| 420 | C8 | — | 50 | 2 | no | — |
| 421 | C8 | — | 100 | 2 | no | — |
| 422 | C5 | #13021333 | 1 | 6 | yes | complemented |
| 423 | C22 | — | 8 | 2 | no | — |
| 424 | C22 | — | 8 | 2 | no | — |
| 425 | C22 | — | 8 | 2 | no | — |
| 426 | C22 | — | 25 | 1 | no | — |
| 427 | C22 | — | 25 | 1 | no | — |
| 428 | C22 | — | 25 | 2 | no | — |
| 429 | C22 | — | 25 | 2 | no | — |
| 430 | C22 | — | 400 | 2 | no | — |
| 431 | C22 | — | 400 | 2 | no | — |
| 432 | C22 | — | 400 | 2 | no | — |
| 433 | C22 | — | 400 | 2 | no | — |
| 434 | C22 | — | 200 | 2 | no | — |
| 435 | C22 | — | 200 | 2 | no | — |
| 436 | C22 | — | 200 | 2 | no | — |
| 437 | C22 | #13104792 | 1 | 1 | yes | characteristic |
| 438 | C4 | — | 25 | 2 | no | — |
| 439 | C4 | — | 25 | 2 | no | — |
| 440 | C4 | — | 25 | 2 | no | — |
| 441 | C4 | — | 400 | 2 | no | — |
| 442 | C4 | D8×#1043 | 1 | 2 | yes | — |
| 443 | C4 | #13104743 | 1 | 2 | yes | — |
| 444 | C4 | #13104783 | 1 | 2 | yes | — |
| 445 | C2 | — | 16 | 2 | no | — |
| 446 | C2 | — | 25 | 2 | no | — |
| 447 | C2 | — | 25 | 2 | no | — |
| 448 | C2 | — | 400 | 2 | no | — |
| 449 | C2 | #72220935 | 1 | 1 | yes | characteristic |
| 450 | C2 | #72220953 | 1 | 1 | yes | characteristic |
| 451 | C2 | #72220957 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72223038 | C2 | semidirect |
| 2. #72221171 | C2 | semidirect |
| 3. #72220933 | C2 | semidirect |
| 4. #72220933 | C2 | semidirect |
| 13. C52×#493 | C4 | semidirect |
| 15. #13102935 | C4 | semidirect |
| 16. #13102558 | C4 | semidirect |
| 81. #87855 | D8 | semidirect |
| 99. C5×#493 | AGL(1,𝔽5) | semidirect |
| 240. #493 | #1043 | semidirect |
| 319. C52 | #9832 | semidirect |
| 422. C5 | #13021333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72223038 | 2 |
| #72221171 | 2 |
| #72220933 | 2 |
| C5⋊D5×#493 | 2 |
| #13021333 | 5 |