Finite Group DatabasebetaFinite Group DatabasebetaOrder 6400.
1748 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 1748 conjugacy classes of subgroups — too many to draw. Only its 122 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 | #72223211 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72220909 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C5⋊D5×#493 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C2×D8×C5⋊D5 | — | 2 | 2 | no | — |
| 5 | #127×C5⋊D5 | C4 | 1 | 2 | yes | — |
| 6 | #13104853 | — | 2 | 2 | no | — |
| 7 | C52×#493 | C4 | 1 | 1 | yes | characteristic |
| 8 | #13103011 | — | 2 | 2 | no | — |
| 9 | #13102935 | C22 | 1 | 2 | yes | — |
| 10 | #13102558 | C4 | 1 | 1 | yes | characteristic |
| 11 | C4×C8×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 12 | #13100361 | — | 2 | 2 | no | — |
| 13 | #13100331 | C22 | 1 | 4 | yes | complemented |
| 14 | D5⋊#1357 | — | 5 | 2 | no | maximal |
| 15 | C2×D4×C5⋊D5 | — | 2 | 2 | no | — |
| 16 | C2×D4×C5⋊D5 | — | 4 | 2 | no | — |
| 17 | C2×C52×D8 | — | 2 | 2 | no | — |
| 18 | C52×#127 | C2×C4 | 1 | 2 | yes | — |
| 19 | #11717260 | — | 2 | 2 | no | — |
| 20 | #11717260 | — | 4 | 2 | no | — |
| 21 | C2×#87809 | — | 2 | 4 | no | — |
| 22 | D8×C5⋊D5 | — | 4 | 2 | no | — |
| 23 | D8×C5⋊D5 | — | 4 | 2 | no | — |
| 24 | D8×C5⋊D5 | — | 4 | 2 | no | — |
| 25 | D8×C5⋊D5 | — | 4 | 2 | no | — |
| 26 | C2×#87801 | — | 2 | 2 | no | — |
| 27 | C2×C8×C5⋊D5 | D4 | 1 | 2 | yes | — |
| 28 | #11717194 | C2×C4 | 1 | 2 | yes | — |
| 29 | C42×C5⋊D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | #11716891 | — | 2 | 4 | no | — |
| 31 | #11716883 | — | 4 | 2 | no | — |
| 32 | #11716882 | — | 4 | 2 | no | — |
| 33 | C4×C52×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C8×#1039 | D4 | 1 | 2 | yes | — |
| 35 | C4×#6029 | C23 | 1 | 1 | yes | characteristic |
| 36 | D5×#493 | — | 5 | 2 | no | — |
| 37 | D5×#493 | — | 10 | 2 | no | — |
| 38 | D5⋊#364 | — | 5 | 4 | no | — |
| 39 | #10598750 | — | 5 | 8 | no | — |
| 40 | C23×C5⋊D5 | — | 4 | 2 | no | — |
| 41 | C2×C52×D4 | — | 2 | 2 | no | — |
| 42 | C2×C52×D4 | — | 4 | 2 | no | — |
| 43 | C2×C22⋊(C5⋊D5) | — | 4 | 4 | no | — |
| 44 | C2×C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 45 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 46 | D4×C5⋊D5 | — | 4 | 4 | no | — |
| 47 | D4×C5⋊D5 | — | 8 | 8 | no | — |
| 48 | C2×C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 49 | C2×C4⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 50 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 51 | C2×C4×C5⋊D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 52 | C52×D8 | — | 4 | 2 | no | — |
| 53 | C52×D8 | — | 4 | 2 | no | — |
| 54 | C2×C52×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 55 | C42×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 56 | #87809 | — | 4 | 4 | no | — |
| 57 | #87809 | — | 4 | 4 | no | — |
| 58 | C4×#1039 | — | 2 | 1 | no | — |
| 59 | C4×#1039 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 60 | C2×#6029 | C2×D4 | 1 | 2 | yes | — |
| 61 | #87801 | — | 4 | 2 | no | — |
| 62 | #87801 | — | 4 | 2 | no | — |
| 63 | C8×C5⋊D5 | D8 | 1 | 2 | yes | — |
| 64 | C8×C5⋊D5 | D8 | 1 | 2 | yes | — |
| 65 | C8×C5⋊D5 | SD16 | 1 | 2 | yes | — |
| 66 | C8×C5⋊D5 | SD16 | 1 | 2 | yes | — |
| 67 | #87765 | — | 4 | 4 | no | — |
| 68 | C2×D5×D8 | — | 10 | 4 | no | — |
| 69 | C2×D5×D8 | — | 10 | 8 | no | — |
| 70 | D5×#127 | — | 5 | 4 | no | — |
| 71 | D5×#127 | — | 10 | 4 | no | — |
| 72 | D5⋊M32 | — | 10 | 4 | no | — |
| 73 | C5×#493 | — | 2 | 2 | no | — |
| 74 | C5×#493 | AGL(1,𝔽5) | 1 | 2 | yes | — |
| 75 | #65440 | — | 10 | 4 | no | — |
| 76 | #65440 | — | 10 | 8 | no | — |
| 77 | #65362 | — | 5 | 4 | no | — |
| 78 | #65362 | — | 10 | 4 | no | — |
| 79 | #64984 | — | 5 | 2 | no | — |
| 80 | #64984 | — | 10 | 2 | no | — |
| 81 | C4×C8×D5 | — | 5 | 2 | no | — |
| 82 | C4×C8×D5 | — | 10 | 2 | no | — |
| 83 | #64889 | — | 10 | 4 | no | — |
| 84 | #64861 | — | 5 | 8 | no | — |
| 85 | C2×#1357 | — | 25 | 1 | no | Sylow |
| 86 | C23×C52 | — | 4 | 2 | no | — |
| 87 | C22×C5⋊D5 | — | 4 | 2 | no | — |
| 88 | C22×C5⋊D5 | — | 8 | 8 | no | — |
| 89 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 90 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 91 | C22×C5⋊D5 | #100 | 1 | 1 | yes | characteristic |
| 92 | C52×D4 | — | 4 | 4 | no | — |
| 93 | C52×D4 | — | 8 | 4 | no | — |
| 94 | C2×C4×C52 | — | 2 | 1 | no | — |
| 95 | C2×C4×C52 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 96 | C22⋊(C5⋊D5) | — | 8 | 8 | no | — |
| 97 | C22⋊(C5⋊D5) | — | 8 | 4 | no | — |
| 98 | C2×#1039 | — | 2 | 1 | no | — |
| 99 | C2×#1039 | #100 | 1 | 1 | yes | characteristic |
| 100 | C4⋊(C5⋊D5) | — | 4 | 4 | no | — |
| 101 | C4⋊(C5⋊D5) | — | 8 | 4 | no | — |
| 102 | C4×C5⋊D5 | — | 2 | 4 | no | — |
| 103 | C4×C5⋊D5 | #102 | 1 | 2 | yes | — |
| 104 | C4×C5⋊D5 | #102 | 1 | 2 | yes | — |
| 105 | C52×C8 | #102 | 1 | 2 | yes | — |
| 106 | C52×C8 | #102 | 1 | 2 | yes | — |
| 107 | #6029 | C2×D8 | 1 | 2 | yes | — |
| 108 | #6029 | C2×SD16 | 1 | 2 | yes | — |
| 109 | C2×D4×D5 | — | 10 | 4 | no | — |
| 110 | C2×D4×D5 | — | 10 | 8 | no | — |
| 111 | C2×D4×D5 | — | 20 | 4 | no | — |
| 112 | C2×D4×D5 | — | 20 | 8 | no | — |
| 113 | C2×C5×D8 | — | 2 | 8 | no | — |
| 114 | C2×C5×D8 | — | 2 | 4 | no | — |
| 115 | C5×#127 | — | 2 | 4 | no | — |
| 116 | C5×#127 | C2×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 117 | #4086 | — | 10 | 4 | no | — |
| 118 | #4086 | — | 10 | 8 | no | — |
| 119 | #4086 | — | 20 | 8 | no | — |
| 120 | #4086 | — | 20 | 4 | no | — |
| 121 | C2×#686 | — | 10 | 8 | no | — |
| 122 | C2×#686 | — | 10 | 16 | no | — |
| 123 | D5×D8 | — | 20 | 4 | no | — |
| 124 | D5×D8 | — | 20 | 4 | no | — |
| 125 | D5×D8 | — | 20 | 4 | no | — |
| 126 | D5×D8 | — | 20 | 4 | no | — |
| 127 | D5×D8 | — | 20 | 8 | no | — |
| 128 | D5×D8 | — | 20 | 8 | no | — |
| 129 | D5×D8 | — | 20 | 8 | no | — |
| 130 | D5×D8 | — | 20 | 8 | no | — |
| 131 | C2×D40 | — | 10 | 8 | no | — |
| 132 | C2×D40 | — | 10 | 4 | no | — |
| 133 | C2×C8×D5 | — | 5 | 4 | no | — |
| 134 | C2×C8×D5 | — | 10 | 4 | no | — |
| 135 | #4020 | — | 5 | 4 | no | — |
| 136 | #4020 | — | 10 | 4 | no | — |
| 137 | C42×D5 | — | 5 | 2 | no | — |
| 138 | C42×D5 | — | 10 | 2 | no | — |
| 139 | #3998 | — | 10 | 8 | no | — |
| 140 | #3990 | — | 20 | 4 | no | — |
| 141 | D5⋊C16 | — | 20 | 4 | no | — |
| 142 | C4×C5×C8 | — | 2 | 2 | no | — |
| 143 | C4×C5×C8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 144 | C8×Dic5 | — | 5 | 4 | no | — |
| 145 | C8×Dic5 | — | 10 | 4 | no | — |
| 146 | C4×#168 | — | 5 | 2 | no | — |
| 147 | C4×#168 | — | 10 | 2 | no | — |
| 148 | C2×#493 | — | 25 | 1 | no | — |
| 149 | C2×#364 | — | 25 | 2 | no | — |
| 150 | #1357 | — | 25 | 4 | no | — |
| 151 | C22×C52 | — | 8 | 4 | no | — |
| 152 | C22×C52 | — | 8 | 2 | no | — |
| 153 | C22×C52 | C2×#100 | 1 | 1 | yes | characteristic |
| 154 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 155 | C2×C5⋊D5 | — | 8 | 4 | no | — |
| 156 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 157 | C2×C5⋊D5 | — | 16 | 4 | no | — |
| 158 | C2×C5⋊D5 | — | 16 | 4 | no | — |
| 159 | C2×C5⋊D5 | #331 | 1 | 1 | yes | characteristic |
| 160 | C2×C5⋊D5 | #331 | 1 | 1 | yes | characteristic |
| 161 | C4×C52 | — | 2 | 2 | no | — |
| 162 | C4×C52 | C2×#102 | 1 | 2 | yes | — |
| 163 | #1039 | — | 2 | 2 | no | — |
| 164 | #1039 | #331 | 1 | 2 | yes | — |
| 165 | C23×D5 | — | 20 | 4 | no | — |
| 166 | C23×D5 | — | 20 | 8 | no | — |
| 167 | C2×C5×D4 | — | 2 | 8 | no | — |
| 168 | C2×C5×D4 | — | 2 | 4 | no | — |
| 169 | C2×C5×D4 | — | 4 | 4 | no | — |
| 170 | C2×C5×D4 | — | 4 | 8 | no | — |
| 171 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 172 | C2×C22⋊D5 | — | 20 | 8 | no | — |
| 173 | C2×C22⋊D5 | — | 20 | 16 | no | — |
| 174 | C2×C22⋊D5 | — | 20 | 8 | no | — |
| 175 | D4×D5 | — | 20 | 8 | no | — |
| 176 | D4×D5 | — | 20 | 8 | no | — |
| 177 | D4×D5 | — | 20 | 16 | no | — |
| 178 | D4×D5 | — | 20 | 16 | no | — |
| 179 | D4×D5 | — | 40 | 16 | no | — |
| 180 | D4×D5 | — | 40 | 32 | no | — |
| 181 | C2×D20 | — | 10 | 8 | no | — |
| 182 | C2×D20 | — | 10 | 4 | no | — |
| 183 | C2×D20 | — | 20 | 4 | no | — |
| 184 | C2×D20 | — | 20 | 8 | no | — |
| 185 | C2×C4×D5 | — | 5 | 2 | no | — |
| 186 | C2×C4×D5 | — | 10 | 2 | no | — |
| 187 | C2×C4×D5 | — | 10 | 2 | no | — |
| 188 | C2×C4×D5 | — | 10 | 4 | no | — |
| 189 | C5×D8 | — | 4 | 8 | no | — |
| 190 | C5×D8 | — | 4 | 8 | no | — |
| 191 | C5×D8 | — | 4 | 4 | no | — |
| 192 | C5×D8 | — | 4 | 4 | no | — |
| 193 | C2×C5×C8 | — | 2 | 4 | no | — |
| 194 | C2×C5×C8 | C22⋊AGL(1,𝔽5) | 1 | 4 | yes | — |
| 195 | C42×C5 | — | 2 | 2 | no | — |
| 196 | C42×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 197 | #686 | — | 20 | 8 | no | — |
| 198 | #686 | — | 20 | 8 | no | — |
| 199 | #686 | — | 20 | 16 | no | — |
| 200 | #686 | — | 20 | 16 | no | — |
| 201 | C4×Dic5 | — | 5 | 2 | no | — |
| 202 | C4×Dic5 | — | 10 | 2 | no | — |
| 203 | C4×Dic5 | — | 10 | 2 | no | — |
| 204 | C4×Dic5 | — | 10 | 4 | no | — |
| 205 | C2×#168 | — | 5 | 4 | no | — |
| 206 | C2×#168 | — | 10 | 4 | no | — |
| 207 | D40 | — | 20 | 8 | no | — |
| 208 | D40 | — | 20 | 8 | no | — |
| 209 | D40 | — | 20 | 4 | no | — |
| 210 | D40 | — | 20 | 4 | no | — |
| 211 | C8×D5 | — | 5 | 4 | no | — |
| 212 | C8×D5 | — | 5 | 4 | no | — |
| 213 | C8×D5 | — | 5 | 4 | no | — |
| 214 | C8×D5 | — | 5 | 4 | no | — |
| 215 | C8×D5 | — | 10 | 4 | no | — |
| 216 | C8×D5 | — | 10 | 4 | no | — |
| 217 | C8×D5 | — | 10 | 4 | no | — |
| 218 | C8×D5 | — | 10 | 4 | no | — |
| 219 | #674 | — | 20 | 8 | no | — |
| 220 | C22×D8 | — | 50 | 2 | no | — |
| 221 | C2×#127 | — | 25 | 2 | no | — |
| 222 | C2×M32 | — | 50 | 2 | no | — |
| 223 | #493 | — | 25 | 2 | no | — |
| 224 | #493 | — | 25 | 1 | no | — |
| 225 | #493 | — | 50 | 2 | no | — |
| 226 | #493 | #1044 | 1 | 1 | yes | characteristic |
| 227 | C2×C4×C8 | — | 25 | 1 | no | — |
| 228 | #364 | — | 25 | 4 | no | — |
| 229 | #364 | — | 50 | 2 | no | — |
| 230 | C2×C52 | — | 2 | 1 | no | — |
| 231 | C2×C52 | — | 16 | 2 | no | — |
| 232 | C2×C52 | C2×#331 | 1 | 1 | yes | characteristic |
| 233 | C5⋊D5 | — | 2 | 1 | no | — |
| 234 | C5⋊D5 | — | 16 | 2 | no | — |
| 235 | C5⋊D5 | #1357 | 1 | 2 | yes | complemented |
| 236 | C23×C5 | — | 4 | 8 | no | — |
| 237 | C23×C5 | — | 4 | 4 | no | — |
| 238 | C22×D5 | — | 5 | 2 | no | — |
| 239 | C22×D5 | — | 10 | 2 | no | — |
| 240 | C22×D5 | — | 20 | 8 | no | — |
| 241 | C22×D5 | — | 20 | 4 | no | — |
| 242 | C22×D5 | — | 40 | 4 | no | — |
| 243 | C22×D5 | — | 40 | 4 | no | — |
| 244 | C22×D5 | — | 40 | 8 | no | — |
| 245 | C22×D5 | — | 40 | 8 | no | — |
| 246 | C22×D5 | — | 40 | 16 | no | — |
| 247 | C22×D5 | — | 40 | 32 | no | — |
| 248 | C5×D4 | — | 4 | 16 | no | — |
| 249 | C5×D4 | — | 4 | 8 | no | — |
| 250 | C5×D4 | — | 8 | 8 | no | — |
| 251 | C5×D4 | — | 8 | 16 | no | — |
| 252 | C2×C4×C5 | — | 2 | 4 | no | — |
| 253 | C2×C4×C5 | — | 2 | 2 | no | — |
| 254 | C2×C4×C5 | — | 2 | 2 | no | — |
| 255 | C2×C4×C5 | C2×C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 256 | C22⋊D5 | — | 40 | 8 | no | — |
| 257 | C22⋊D5 | — | 40 | 16 | no | — |
| 258 | C22⋊D5 | — | 40 | 32 | no | — |
| 259 | C22⋊D5 | — | 40 | 16 | no | — |
| 260 | C2×Dic5 | — | 5 | 2 | no | — |
| 261 | C2×Dic5 | — | 10 | 2 | no | — |
| 262 | C2×Dic5 | — | 10 | 4 | no | — |
| 263 | C2×Dic5 | — | 10 | 2 | no | — |
| 264 | D20 | — | 20 | 16 | no | — |
| 265 | D20 | — | 20 | 8 | no | — |
| 266 | D20 | — | 40 | 8 | no | — |
| 267 | D20 | — | 40 | 16 | no | — |
| 268 | C4×D5 | — | 5 | 4 | no | — |
| 269 | C4×D5 | — | 5 | 4 | no | — |
| 270 | C4×D5 | — | 10 | 4 | no | — |
| 271 | C4×D5 | — | 10 | 4 | no | — |
| 272 | C4×D5 | — | 10 | 8 | no | — |
| 273 | C4×D5 | — | 10 | 16 | no | — |
| 274 | C5×C8 | — | 2 | 4 | no | — |
| 275 | C5×C8 | — | 2 | 4 | no | — |
| 276 | C5×C8 | #4007 | 1 | 4 | yes | — |
| 277 | C5×C8 | #4007 | 1 | 4 | yes | — |
| 278 | #168 | — | 5 | 4 | no | — |
| 279 | #168 | — | 5 | 4 | no | — |
| 280 | #168 | — | 10 | 4 | no | — |
| 281 | #168 | — | 10 | 4 | no | — |
| 282 | C22×D4 | — | 50 | 2 | no | — |
| 283 | C22×D4 | — | 100 | 2 | no | — |
| 284 | C2×D8 | — | 2 | 2 | no | — |
| 285 | C2×D8 | — | 50 | 4 | no | — |
| 286 | C2×D8 | — | 50 | 2 | no | — |
| 287 | C2×D8 | — | 100 | 2 | no | — |
| 288 | C2×D8 | — | 100 | 2 | no | — |
| 289 | C2×D8 | — | 100 | 2 | no | — |
| 290 | C2×D8 | — | 100 | 2 | no | — |
| 291 | C22×C8 | — | 25 | 2 | no | — |
| 292 | #127 | — | 25 | 2 | no | — |
| 293 | #127 | — | 50 | 2 | no | — |
| 294 | #127 | — | 100 | 2 | no | — |
| 295 | #127 | C2×#1044 | 1 | 2 | yes | — |
| 296 | C2×C42 | — | 25 | 1 | no | — |
| 297 | M32 | — | 50 | 4 | no | — |
| 298 | M32 | — | 100 | 2 | no | — |
| 299 | C2×C16 | — | 100 | 2 | no | — |
| 300 | C4×C8 | — | 25 | 2 | no | — |
| 301 | C4×C8 | — | 25 | 1 | no | — |
| 302 | C4×C8 | C2×#1044 | 1 | 1 | yes | characteristic |
| 303 | C52 | C2×#1357 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 304 | C22×C5 | — | 2 | 2 | no | — |
| 305 | C22×C5 | — | 8 | 8 | no | — |
| 306 | C22×C5 | — | 8 | 16 | no | — |
| 307 | C22×C5 | — | 8 | 8 | no | — |
| 308 | C22×C5 | — | 8 | 4 | no | — |
| 309 | C22×C5 | D5⋊#100 | 1 | 2 | yes | — |
| 310 | C2×D5 | — | 5 | 2 | no | — |
| 311 | C2×D5 | — | 5 | 2 | no | — |
| 312 | C2×D5 | — | 10 | 2 | no | — |
| 313 | C2×D5 | — | 10 | 2 | no | — |
| 314 | C2×D5 | — | 10 | 4 | no | — |
| 315 | C2×D5 | — | 10 | 8 | no | — |
| 316 | C2×D5 | — | 40 | 8 | no | — |
| 317 | C2×D5 | — | 40 | 16 | no | — |
| 318 | C2×D5 | — | 40 | 8 | no | — |
| 319 | C2×D5 | — | 40 | 4 | no | — |
| 320 | C2×D5 | — | 80 | 8 | no | — |
| 321 | C2×D5 | — | 80 | 16 | no | — |
| 322 | C2×D5 | — | 80 | 16 | no | — |
| 323 | C2×D5 | — | 80 | 8 | no | — |
| 324 | C4×C5 | — | 2 | 8 | no | — |
| 325 | C4×C5 | — | 2 | 4 | no | — |
| 326 | C4×C5 | — | 2 | 4 | no | — |
| 327 | C4×C5 | C2×#4007 | 1 | 4 | yes | — |
| 328 | Dic5 | — | 5 | 4 | no | — |
| 329 | Dic5 | — | 10 | 4 | no | — |
| 330 | Dic5 | — | 10 | 8 | no | — |
| 331 | Dic5 | — | 10 | 4 | no | — |
| 332 | C24 | — | 100 | 2 | no | — |
| 333 | C2×D4 | — | 2 | 2 | no | — |
| 334 | C2×D4 | — | 4 | 2 | no | — |
| 335 | C2×D4 | — | 50 | 2 | no | — |
| 336 | C2×D4 | — | 100 | 2 | no | — |
| 337 | C2×D4 | — | 100 | 4 | no | — |
| 338 | C2×D4 | — | 100 | 4 | no | — |
| 339 | C2×D4 | — | 100 | 2 | no | — |
| 340 | C2×D4 | — | 100 | 4 | no | — |
| 341 | C2×D4 | — | 200 | 8 | no | — |
| 342 | C22×C4 | — | 25 | 1 | no | — |
| 343 | C22×C4 | — | 50 | 1 | no | — |
| 344 | D8 | — | 4 | 2 | no | — |
| 345 | D8 | — | 4 | 2 | no | — |
| 346 | D8 | — | 100 | 4 | no | — |
| 347 | D8 | — | 100 | 4 | no | — |
| 348 | D8 | — | 100 | 2 | no | — |
| 349 | D8 | — | 100 | 2 | no | — |
| 350 | C2×C8 | — | 25 | 2 | no | — |
| 351 | C2×C8 | — | 25 | 2 | no | — |
| 352 | C2×C8 | — | 25 | 2 | no | — |
| 353 | C2×C8 | — | 25 | 2 | no | — |
| 354 | C2×C8 | — | 25 | 2 | no | — |
| 355 | C2×C8 | C22⋊#1044 | 1 | 2 | yes | — |
| 356 | C42 | — | 25 | 1 | no | — |
| 357 | C42 | — | 50 | 1 | no | — |
| 358 | C42 | C22×#1044 | 1 | 1 | yes | characteristic |
| 359 | C16 | — | 100 | 4 | no | — |
| 360 | C2×C5 | — | 2 | 4 | no | — |
| 361 | C2×C5 | — | 2 | 2 | no | — |
| 362 | C2×C5 | — | 2 | 2 | no | — |
| 363 | C2×C5 | — | 16 | 8 | no | — |
| 364 | C2×C5 | — | 16 | 4 | no | — |
| 365 | C2×C5 | D5⋊#331 | 1 | 2 | yes | — |
| 366 | D5 | — | 5 | 4 | no | — |
| 367 | D5 | — | 10 | 4 | no | — |
| 368 | D5 | — | 10 | 4 | no | — |
| 369 | D5 | — | 10 | 2 | no | — |
| 370 | D5 | — | 80 | 8 | no | — |
| 371 | D5 | — | 80 | 4 | no | — |
| 372 | C23 | — | 4 | 2 | no | — |
| 373 | C23 | — | 25 | 1 | no | — |
| 374 | C23 | — | 100 | 2 | no | — |
| 375 | C23 | — | 200 | 2 | no | — |
| 376 | C23 | — | 200 | 2 | no | — |
| 377 | C23 | — | 200 | 8 | no | — |
| 378 | D4 | — | 4 | 4 | no | — |
| 379 | D4 | — | 8 | 4 | no | — |
| 380 | D4 | — | 100 | 4 | no | — |
| 381 | D4 | — | 200 | 4 | no | — |
| 382 | D4 | — | 200 | 4 | no | — |
| 383 | D4 | — | 200 | 8 | no | — |
| 384 | C2×C4 | — | 2 | 1 | no | — |
| 385 | C2×C4 | — | 25 | 1 | no | — |
| 386 | C2×C4 | — | 25 | 2 | no | — |
| 387 | C2×C4 | — | 25 | 2 | no | — |
| 388 | C2×C4 | — | 50 | 4 | no | — |
| 389 | C2×C4 | — | 50 | 1 | no | — |
| 390 | C2×C4 | C2×C22⋊#1044 | 1 | 1 | yes | characteristic |
| 391 | C8 | — | 25 | 2 | no | — |
| 392 | C8 | — | 25 | 2 | no | — |
| 393 | C8 | #11716900 | 1 | 2 | yes | — |
| 394 | C8 | #11716900 | 1 | 2 | yes | — |
| 395 | C5 | — | 2 | 2 | no | — |
| 396 | C5 | D5⋊#1357 | 1 | 2 | yes | complemented |
| 397 | C22 | — | 8 | 4 | no | — |
| 398 | C22 | — | 8 | 2 | no | — |
| 399 | C22 | — | 25 | 1 | no | — |
| 400 | C22 | — | 25 | 1 | no | — |
| 401 | C22 | — | 50 | 2 | no | — |
| 402 | C22 | — | 400 | 4 | no | — |
| 403 | C22 | — | 400 | 4 | no | — |
| 404 | C22 | — | 200 | 4 | no | — |
| 405 | C22 | — | 200 | 2 | no | — |
| 406 | C22 | #13104916 | 1 | 1 | yes | characteristic |
| 407 | C4 | — | 2 | 2 | no | — |
| 408 | C4 | — | 25 | 2 | no | — |
| 409 | C4 | — | 50 | 2 | no | — |
| 410 | C4 | C2×#11716900 | 1 | 2 | yes | — |
| 411 | C2 | — | 2 | 1 | no | — |
| 412 | C2 | — | 16 | 2 | no | — |
| 413 | C2 | — | 25 | 2 | no | — |
| 414 | C2 | — | 50 | 1 | no | — |
| 415 | C2 | — | 400 | 2 | no | — |
| 416 | C2 | #72223212 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72223211 | C2 | semidirect |
| 2. #72220909 | C2 | semidirect |
| 13. #13100331 | C22 | semidirect |
| 235. C5⋊D5 | #1357 | semidirect |
| 303. C52 | C2×#1357 | semidirect |
| 396. C5 | D5⋊#1357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72223211 | 2 |
| #72220909 | 2 |
| C5⋊D5×#493 | 2 |
| D5⋊#1357 | 5 |