Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
1810 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 1810 conjugacy classes of subgroups — too many to draw. Only its 184 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 | #127×C5⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#11717055 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #13104977 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#65363 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13101692 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13101687 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13100531 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13100515 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×D4×C5⋊D5 | — | 2 | 2 | no | — |
| 10 | C2×D4×C5⋊D5 | C22 | 1 | 2 | yes | — |
| 11 | C2×#87871 | C22 | 1 | 2 | yes | — |
| 12 | C52×#127 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11717260 | — | 2 | 2 | no | — |
| 14 | #11717260 | C22 | 1 | 2 | yes | — |
| 15 | #11717194 | C22 | 1 | 1 | yes | characteristic |
| 16 | C42×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C5×#687 | C22 | 1 | 4 | yes | complemented |
| 18 | C2×C5×#686 | C22 | 1 | 4 | yes | complemented |
| 19 | C5×#4021 | C22 | 1 | 2 | yes | complemented |
| 20 | #11717055 | — | 2 | 16 | no | — |
| 21 | #11717032 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #11717030 | — | 2 | 2 | no | — |
| 23 | #11717020 | — | 2 | 2 | no | — |
| 24 | #11716985 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#87774 | C22 | 1 | 4 | yes | complemented |
| 26 | C2×#87771 | C22 | 1 | 4 | yes | complemented |
| 27 | C2×#87769 | C22 | 1 | 2 | yes | — |
| 28 | C5×#3935 | C22 | 1 | 2 | yes | complemented |
| 29 | #11716594 | C22 | 1 | 2 | yes | complemented |
| 30 | #10613576 | — | 5 | 2 | no | maximal |
| 31 | C23×C5⋊D5 | — | 2 | 2 | no | — |
| 32 | C2×C52×D4 | — | 2 | 2 | no | — |
| 33 | C2×C52×D4 | C23 | 1 | 2 | yes | — |
| 34 | C2×C22⋊(C5⋊D5) | — | 2 | 4 | no | — |
| 35 | C2×C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 36 | D4×C5⋊D5 | — | 2 | 8 | no | — |
| 37 | D4×C5⋊D5 | — | 4 | 8 | no | — |
| 38 | C2×C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 39 | C2×C4⋊(C5⋊D5) | C23 | 1 | 2 | yes | — |
| 40 | C2×C4×C5⋊D5 | D4 | 1 | 2 | yes | — |
| 41 | C2×C4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 42 | C2×C5×D20 | C23 | 1 | 2 | yes | — |
| 43 | C2×C5×Dic10 | C23 | 1 | 2 | yes | — |
| 44 | C2×#6038 | — | 2 | 2 | no | — |
| 45 | C2×#6037 | — | 2 | 2 | no | — |
| 46 | C2×D5×Dic5 | — | 2 | 2 | no | — |
| 47 | #87871 | — | 2 | 8 | no | — |
| 48 | C42×C52 | C23 | 1 | 1 | yes | characteristic |
| 49 | C4×#1039 | D4 | 1 | 2 | yes | — |
| 50 | C4×#1039 | C23 | 1 | 1 | yes | characteristic |
| 51 | C5×#687 | — | 2 | 8 | no | — |
| 52 | C5×#686 | — | 2 | 8 | no | — |
| 53 | C5×#685 | — | 2 | 4 | no | — |
| 54 | C2×C5×#168 | C23 | 1 | 4 | yes | — |
| 55 | #87781 | — | 2 | 2 | no | — |
| 56 | #87774 | — | 2 | 8 | no | — |
| 57 | #87771 | — | 2 | 8 | no | — |
| 58 | #87769 | D4 | 1 | 8 | yes | complemented |
| 59 | C2×#4060 | — | 5 | 4 | no | — |
| 60 | C2×#4057 | — | 5 | 4 | no | — |
| 61 | D5×#127 | — | 5 | 2 | no | — |
| 62 | D5×#127 | — | 10 | 2 | no | — |
| 63 | #66002 | — | 5 | 2 | no | — |
| 64 | C5×#496 | — | 5 | 2 | no | — |
| 65 | #65464 | — | 5 | 4 | no | — |
| 66 | #65440 | — | 5 | 4 | no | — |
| 67 | #65363 | D5 | 1 | 2 | yes | complemented |
| 68 | #65347 | — | 5 | 2 | no | — |
| 69 | #65001 | — | 5 | 2 | no | — |
| 70 | #64996 | — | 5 | 2 | no | — |
| 71 | C23×C52 | — | 2 | 2 | no | — |
| 72 | C22×C5⋊D5 | — | 2 | 2 | no | — |
| 73 | C22×C5⋊D5 | — | 4 | 8 | no | — |
| 74 | C22×C5⋊D5 | — | 4 | 4 | no | — |
| 75 | C22×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 76 | C22×C5×D5 | — | 2 | 2 | no | — |
| 77 | C52×D4 | — | 2 | 4 | no | — |
| 78 | C52×D4 | — | 4 | 4 | no | — |
| 79 | C2×C4×C52 | C2×D4 | 1 | 2 | yes | — |
| 80 | C2×C4×C52 | C24 | 1 | 1 | yes | characteristic |
| 81 | C22⋊(C5⋊D5) | — | 4 | 4 | no | — |
| 82 | C22⋊(C5⋊D5) | — | 4 | 8 | no | — |
| 83 | C2×#1039 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C2×#1039 | C2×D4 | 1 | 2 | yes | — |
| 85 | C4⋊(C5⋊D5) | — | 2 | 4 | no | — |
| 86 | C4⋊(C5⋊D5) | — | 4 | 4 | no | — |
| 87 | C4×C5⋊D5 | — | 2 | 4 | no | — |
| 88 | C4×C5⋊D5 | C2×D4 | 1 | 4 | yes | — |
| 89 | C2×C5×Dic5 | — | 2 | 2 | no | — |
| 90 | C5×D20 | — | 2 | 4 | no | — |
| 91 | C5×Dic10 | — | 2 | 4 | no | — |
| 92 | #6038 | — | 4 | 4 | no | — |
| 93 | #6037 | — | 4 | 4 | no | — |
| 94 | D5×Dic5 | — | 4 | 4 | no | — |
| 95 | C5×#168 | C2×D4 | 1 | 8 | yes | complemented |
| 96 | C2×#713 | — | 5 | 2 | no | — |
| 97 | C2×#711 | — | 5 | 2 | no | — |
| 98 | C2×D4×D5 | — | 5 | 4 | no | — |
| 99 | C2×D4×D5 | — | 10 | 4 | no | — |
| 100 | C2×D4×D5 | — | 10 | 4 | no | — |
| 101 | C2×D4×D5 | — | 10 | 8 | no | — |
| 102 | C2×C5×SD16 | — | 5 | 4 | no | — |
| 103 | C2×C5×D8 | — | 5 | 4 | no | — |
| 104 | C5×#127 | — | 2 | 2 | no | — |
| 105 | C5×#127 | C2×D5 | 1 | 2 | yes | — |
| 106 | C5×#124 | — | 5 | 2 | no | — |
| 107 | #4090 | — | 5 | 2 | no | — |
| 108 | C2×#688 | — | 5 | 4 | no | — |
| 109 | #4086 | — | 5 | 4 | no | — |
| 110 | #4086 | — | 5 | 2 | no | — |
| 111 | #4086 | — | 10 | 4 | no | — |
| 112 | #4086 | — | 10 | 4 | no | — |
| 113 | #4086 | — | 10 | 8 | no | — |
| 114 | C2×#687 | C2×D5 | 1 | 4 | yes | complemented |
| 115 | C2×#686 | — | 5 | 4 | no | — |
| 116 | C2×#686 | C2×D5 | 1 | 4 | yes | complemented |
| 117 | #4060 | — | 10 | 16 | no | — |
| 118 | #4057 | — | 10 | 16 | no | — |
| 119 | C2×D40 | — | 5 | 4 | no | — |
| 120 | C2×#677 | — | 5 | 4 | no | — |
| 121 | C2×#676 | — | 5 | 4 | no | — |
| 122 | #4030 | — | 10 | 4 | no | — |
| 123 | #4027 | — | 10 | 4 | no | — |
| 124 | #4021 | C2×D5 | 1 | 2 | yes | complemented |
| 125 | #4020 | — | 5 | 2 | no | — |
| 126 | #4020 | — | 10 | 2 | no | — |
| 127 | C42×D5 | — | 5 | 2 | no | — |
| 128 | C42×D5 | — | 10 | 2 | no | — |
| 129 | C5×#97 | — | 5 | 2 | no | — |
| 130 | C8×Dic5 | — | 5 | 4 | no | — |
| 131 | #3935 | C2×D5 | 1 | 2 | yes | complemented |
| 132 | #3151 | — | 25 | 1 | no | Sylow |
| 133 | C22×C52 | — | 4 | 2 | no | — |
| 134 | C22×C52 | — | 4 | 4 | no | — |
| 135 | C22×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 136 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 137 | C2×C5⋊D5 | — | 4 | 2 | no | — |
| 138 | C2×C5⋊D5 | — | 4 | 4 | no | — |
| 139 | C2×C5⋊D5 | — | 8 | 8 | no | — |
| 140 | C2×C5⋊D5 | #127 | 1 | 2 | yes | — |
| 141 | C2×C5×D5 | — | 4 | 2 | no | — |
| 142 | C2×C5×D5 | — | 4 | 4 | no | — |
| 143 | C4×C52 | — | 2 | 2 | no | — |
| 144 | C4×C52 | C22×D4 | 1 | 2 | yes | — |
| 145 | #1039 | #127 | 1 | 2 | yes | — |
| 146 | #1039 | AGL(1,ℤ/8) | 1 | 4 | yes | complemented |
| 147 | C5×Dic5 | — | 4 | 2 | no | — |
| 148 | C23×D5 | — | 10 | 4 | no | — |
| 149 | C23×D5 | — | 10 | 8 | no | — |
| 150 | C2×C5×Q8 | — | 5 | 2 | no | — |
| 151 | C2×C5×D4 | — | 2 | 8 | no | — |
| 152 | C2×C5×D4 | — | 2 | 4 | no | — |
| 153 | C2×C5×D4 | — | 2 | 4 | no | — |
| 154 | C2×C5×D4 | — | 5 | 2 | no | — |
| 155 | C2×C5×D4 | C22×D5 | 1 | 4 | yes | — |
| 156 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 157 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 158 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 159 | C2×C22⋊D5 | — | 10 | 8 | no | — |
| 160 | C2×C22⋊D5 | — | 10 | 16 | no | — |
| 161 | C2×C22⋊D5 | — | 10 | 8 | no | — |
| 162 | C22×Dic5 | — | 10 | 2 | no | — |
| 163 | #713 | — | 10 | 8 | no | — |
| 164 | #711 | — | 10 | 8 | no | — |
| 165 | D4×D5 | — | 10 | 8 | no | — |
| 166 | D4×D5 | — | 10 | 8 | no | — |
| 167 | D4×D5 | — | 20 | 16 | no | — |
| 168 | D4×D5 | — | 20 | 16 | no | — |
| 169 | D4×D5 | — | 20 | 32 | no | — |
| 170 | C2×D20 | — | 5 | 4 | no | — |
| 171 | C2×D20 | — | 10 | 4 | no | — |
| 172 | C2×D20 | — | 10 | 8 | no | — |
| 173 | C2×D20 | — | 10 | 2 | no | — |
| 174 | C2×D20 | — | 10 | 4 | no | — |
| 175 | C2×D20 | C22×D5 | 1 | 2 | yes | — |
| 176 | C2×C4×D5 | — | 5 | 2 | no | — |
| 177 | C2×C4×D5 | — | 5 | 4 | no | — |
| 178 | C2×C4×D5 | — | 10 | 4 | no | — |
| 179 | C2×C4×D5 | — | 10 | 2 | no | — |
| 180 | C2×C4×D5 | — | 10 | 2 | no | — |
| 181 | C2×Dic10 | C22×D5 | 1 | 2 | yes | — |
| 182 | C5×SD16 | — | 10 | 8 | no | — |
| 183 | C5×D8 | — | 10 | 8 | no | — |
| 184 | C2×C5×C8 | — | 5 | 4 | no | — |
| 185 | C5×C22⋊C4 | — | 10 | 4 | no | — |
| 186 | C42×C5 | — | 2 | 2 | no | — |
| 187 | C42×C5 | C22×D5 | 1 | 2 | yes | — |
| 188 | #688 | — | 10 | 8 | no | — |
| 189 | #687 | — | 2 | 8 | no | — |
| 190 | #686 | — | 2 | 8 | no | — |
| 191 | #686 | — | 10 | 8 | no | — |
| 192 | #685 | — | 2 | 4 | no | — |
| 193 | #683 | — | 10 | 4 | no | — |
| 194 | C4×Dic5 | — | 5 | 4 | no | — |
| 195 | C4×Dic5 | — | 5 | 2 | no | — |
| 196 | C4×Dic5 | — | 10 | 4 | no | — |
| 197 | C4×Dic5 | — | 10 | 2 | no | — |
| 198 | C2×#168 | C22×D5 | 1 | 4 | yes | — |
| 199 | D40 | — | 10 | 8 | no | — |
| 200 | #677 | — | 10 | 8 | no | — |
| 201 | #676 | — | 5 | 16 | no | — |
| 202 | C2×AGL(1,ℤ/8) | — | 25 | 4 | no | — |
| 203 | #532 | — | 25 | 1 | no | — |
| 204 | C2×#127 | — | 25 | 1 | no | — |
| 205 | #496 | — | 5 | 2 | no | — |
| 206 | #496 | — | 25 | 2 | no | — |
| 207 | #493 | — | 25 | 2 | no | — |
| 208 | #492 | — | 25 | 2 | no | — |
| 209 | C4×M16 | — | 25 | 1 | no | — |
| 210 | C2×C52 | — | 8 | 2 | no | — |
| 211 | C2×C52 | C2×#127 | 1 | 1 | yes | characteristic |
| 212 | C2×C52 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 213 | C5⋊D5 | — | 2 | 2 | no | — |
| 214 | C5⋊D5 | — | 8 | 2 | no | — |
| 215 | C5×D5 | — | 8 | 2 | no | — |
| 216 | C23×C5 | — | 2 | 8 | no | — |
| 217 | C23×C5 | — | 2 | 4 | no | — |
| 218 | C23×C5 | — | 10 | 2 | no | — |
| 219 | C22×D5 | — | 2 | 2 | no | — |
| 220 | C22×D5 | — | 5 | 2 | no | — |
| 221 | C22×D5 | — | 10 | 2 | no | — |
| 222 | C22×D5 | — | 10 | 8 | no | — |
| 223 | C22×D5 | — | 10 | 4 | no | — |
| 224 | C22×D5 | — | 20 | 8 | no | — |
| 225 | C22×D5 | — | 20 | 16 | no | — |
| 226 | C22×D5 | — | 20 | 32 | no | — |
| 227 | C22×D5 | — | 20 | 16 | no | — |
| 228 | C5×Q8 | — | 10 | 4 | no | — |
| 229 | C5×D4 | — | 2 | 4 | no | — |
| 230 | C5×D4 | — | 2 | 4 | no | — |
| 231 | C5×D4 | — | 4 | 8 | no | — |
| 232 | C5×D4 | — | 4 | 16 | no | — |
| 233 | C5×D4 | — | 4 | 8 | no | — |
| 234 | C5×D4 | — | 10 | 4 | no | — |
| 235 | C2×C4×C5 | — | 2 | 4 | no | — |
| 236 | C2×C4×C5 | — | 2 | 2 | no | — |
| 237 | C2×C4×C5 | — | 10 | 2 | no | — |
| 238 | C2×C4×C5 | D4×D5 | 1 | 4 | yes | — |
| 239 | C2×C4×C5 | C23×D5 | 1 | 2 | yes | — |
| 240 | C22⋊D5 | — | 20 | 4 | no | — |
| 241 | C22⋊D5 | — | 20 | 8 | no | — |
| 242 | C22⋊D5 | — | 20 | 8 | no | — |
| 243 | C22⋊D5 | — | 20 | 16 | no | — |
| 244 | C22⋊D5 | — | 20 | 16 | no | — |
| 245 | C22⋊D5 | — | 20 | 32 | no | — |
| 246 | C2×Dic5 | — | 2 | 2 | no | — |
| 247 | C2×Dic5 | — | 5 | 4 | no | — |
| 248 | C2×Dic5 | — | 5 | 2 | no | — |
| 249 | C2×Dic5 | — | 10 | 4 | no | — |
| 250 | C2×Dic5 | — | 10 | 2 | no | — |
| 251 | C2×Dic5 | — | 20 | 4 | no | — |
| 252 | D20 | — | 2 | 4 | no | — |
| 253 | D20 | — | 10 | 4 | no | — |
| 254 | D20 | — | 10 | 4 | no | — |
| 255 | D20 | — | 20 | 8 | no | — |
| 256 | D20 | — | 20 | 16 | no | — |
| 257 | D20 | — | 20 | 8 | no | — |
| 258 | D20 | — | 20 | 4 | no | — |
| 259 | C4×D5 | — | 5 | 8 | no | — |
| 260 | C4×D5 | — | 10 | 8 | no | — |
| 261 | C4×D5 | — | 10 | 8 | no | — |
| 262 | C4×D5 | — | 10 | 16 | no | — |
| 263 | C4×D5 | — | 20 | 4 | no | — |
| 264 | Dic10 | — | 2 | 4 | no | — |
| 265 | C5×C8 | — | 5 | 8 | no | — |
| 266 | #168 | D4×D5 | 1 | 8 | yes | complemented |
| 267 | C2×#41 | — | 25 | 2 | no | — |
| 268 | C22×D4 | — | 25 | 2 | no | — |
| 269 | C22×D4 | — | 50 | 2 | no | — |
| 270 | AGL(1,ℤ/8) | — | 50 | 16 | no | — |
| 271 | C2×SD16 | — | 5 | 4 | no | — |
| 272 | C2×SD16 | — | 25 | 4 | no | — |
| 273 | C2×D8 | — | 5 | 4 | no | — |
| 274 | C2×D8 | — | 25 | 4 | no | — |
| 275 | C2×M16 | — | 25 | 2 | no | — |
| 276 | C4⋊Q8 | — | 25 | 1 | no | — |
| 277 | #127 | — | 25 | 1 | no | — |
| 278 | #127 | — | 25 | 2 | no | — |
| 279 | #127 | — | 25 | 1 | no | — |
| 280 | #127 | — | 50 | 2 | no | — |
| 281 | #127 | D52 | 1 | 1 | yes | characteristic |
| 282 | #124 | — | 5 | 2 | no | — |
| 283 | #121 | — | 50 | 2 | no | — |
| 284 | C4×D4 | — | 50 | 2 | no | — |
| 285 | C2×C42 | — | 25 | 1 | no | — |
| 286 | #97 | — | 5 | 2 | no | — |
| 287 | C4×C8 | — | 25 | 2 | no | — |
| 288 | C52 | #3151 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 289 | C22×C5 | — | 2 | 2 | no | — |
| 290 | C22×C5 | — | 4 | 8 | no | — |
| 291 | C22×C5 | — | 4 | 16 | no | — |
| 292 | C22×C5 | — | 4 | 4 | no | — |
| 293 | C22×C5 | — | 4 | 8 | no | — |
| 294 | C22×C5 | — | 20 | 2 | no | — |
| 295 | C22×C5 | — | 20 | 4 | no | — |
| 296 | C22×C5 | C2×D4×D5 | 1 | 2 | yes | — |
| 297 | C2×D5 | — | 4 | 2 | no | — |
| 298 | C2×D5 | — | 4 | 4 | no | — |
| 299 | C2×D5 | — | 5 | 4 | no | — |
| 300 | C2×D5 | — | 10 | 4 | no | — |
| 301 | C2×D5 | — | 10 | 8 | no | — |
| 302 | C2×D5 | — | 10 | 4 | no | — |
| 303 | C2×D5 | — | 20 | 8 | no | — |
| 304 | C2×D5 | — | 20 | 16 | no | — |
| 305 | C2×D5 | — | 20 | 4 | no | — |
| 306 | C2×D5 | — | 20 | 8 | no | — |
| 307 | C2×D5 | — | 40 | 32 | no | — |
| 308 | C2×D5 | — | 40 | 16 | no | — |
| 309 | C4×C5 | — | 2 | 8 | no | — |
| 310 | C4×C5 | — | 2 | 4 | no | — |
| 311 | C4×C5 | — | 2 | 4 | no | — |
| 312 | C4×C5 | — | 20 | 2 | no | — |
| 313 | C4×C5 | C2×D4×D5 | 1 | 4 | yes | — |
| 314 | Dic5 | — | 4 | 2 | no | — |
| 315 | Dic5 | — | 5 | 4 | no | — |
| 316 | Dic5 | — | 5 | 8 | no | — |
| 317 | Dic5 | — | 10 | 4 | no | — |
| 318 | Dic5 | — | 10 | 8 | no | — |
| 319 | C24 | — | 50 | 2 | no | — |
| 320 | #41 | — | 50 | 8 | no | — |
| 321 | C2×Q8 | — | 5 | 2 | no | — |
| 322 | C2×D4 | — | 2 | 2 | no | — |
| 323 | C2×D4 | — | 5 | 2 | no | — |
| 324 | C2×D4 | — | 25 | 2 | no | — |
| 325 | C2×D4 | — | 50 | 2 | no | — |
| 326 | C2×D4 | — | 50 | 8 | no | — |
| 327 | C2×D4 | — | 50 | 4 | no | — |
| 328 | C2×D4 | — | 50 | 2 | no | — |
| 329 | C2×D4 | — | 50 | 2 | no | — |
| 330 | C2×D4 | — | 50 | 2 | no | — |
| 331 | C2×D4 | — | 100 | 8 | no | — |
| 332 | C2×D4 | C2×D52 | 1 | 2 | yes | — |
| 333 | C22×C4 | — | 25 | 1 | no | — |
| 334 | C22×C4 | — | 25 | 2 | no | — |
| 335 | C22×C4 | — | 50 | 2 | no | — |
| 336 | SD16 | — | 10 | 8 | no | — |
| 337 | SD16 | — | 50 | 8 | no | — |
| 338 | D8 | — | 10 | 8 | no | — |
| 339 | D8 | — | 50 | 8 | no | — |
| 340 | M16 | — | 25 | 8 | no | — |
| 341 | C2×C8 | — | 5 | 4 | no | — |
| 342 | C4⋊C4 | — | 50 | 2 | no | — |
| 343 | C22⋊C4 | — | 10 | 4 | no | — |
| 344 | C42 | — | 25 | 2 | no | — |
| 345 | C42 | — | 25 | 1 | no | — |
| 346 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 347 | C2×C5 | — | 2 | 2 | no | — |
| 348 | C2×C5 | — | 2 | 4 | no | — |
| 349 | C2×C5 | — | 8 | 8 | no | — |
| 350 | C2×C5 | — | 8 | 4 | no | — |
| 351 | C2×C5 | — | 40 | 2 | no | — |
| 352 | C2×C5 | D5×#127 | 1 | 2 | yes | — |
| 353 | C2×C5 | D5×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 354 | D5 | — | 8 | 2 | no | — |
| 355 | D5 | — | 10 | 8 | no | — |
| 356 | D5 | — | 10 | 4 | no | — |
| 357 | D5 | — | 40 | 8 | no | — |
| 358 | D5 | — | 40 | 4 | no | — |
| 359 | C23 | — | 2 | 2 | no | — |
| 360 | C23 | — | 10 | 2 | no | — |
| 361 | C23 | — | 25 | 1 | no | — |
| 362 | C23 | — | 50 | 2 | no | — |
| 363 | C23 | — | 100 | 4 | no | — |
| 364 | C23 | — | 100 | 8 | no | — |
| 365 | Q8 | — | 10 | 4 | no | — |
| 366 | D4 | — | 2 | 4 | no | — |
| 367 | D4 | — | 4 | 4 | no | — |
| 368 | D4 | — | 10 | 4 | no | — |
| 369 | D4 | — | 50 | 4 | no | — |
| 370 | D4 | — | 100 | 4 | no | — |
| 371 | D4 | — | 100 | 4 | no | — |
| 372 | D4 | — | 100 | 4 | no | — |
| 373 | D4 | — | 100 | 8 | no | — |
| 374 | D4 | — | 100 | 4 | no | — |
| 375 | C2×C4 | — | 10 | 2 | no | — |
| 376 | C2×C4 | — | 25 | 2 | no | — |
| 377 | C2×C4 | — | 25 | 1 | no | — |
| 378 | C2×C4 | — | 25 | 4 | no | — |
| 379 | C2×C4 | — | 50 | 4 | no | — |
| 380 | C2×C4 | — | 100 | 4 | no | — |
| 381 | C2×C4 | #87886 | 1 | 2 | yes | — |
| 382 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 383 | C8 | — | 5 | 8 | no | — |
| 384 | C5 | — | 2 | 2 | no | — |
| 385 | C5 | #10613576 | 1 | 2 | yes | complemented |
| 386 | C22 | — | 4 | 2 | no | — |
| 387 | C22 | — | 4 | 4 | no | — |
| 388 | C22 | — | 20 | 2 | no | — |
| 389 | C22 | — | 20 | 4 | no | — |
| 390 | C22 | — | 25 | 2 | no | — |
| 391 | C22 | — | 50 | 2 | no | — |
| 392 | C22 | — | 100 | 2 | no | — |
| 393 | C22 | — | 100 | 4 | no | — |
| 394 | C22 | — | 200 | 8 | no | — |
| 395 | C22 | C2×#87886 | 1 | 1 | yes | characteristic |
| 396 | C4 | — | 2 | 2 | no | — |
| 397 | C4 | — | 20 | 2 | no | — |
| 398 | C4 | — | 25 | 2 | no | — |
| 399 | C4 | — | 25 | 4 | no | — |
| 400 | C4 | D4×D52 | 1 | 2 | yes | — |
| 401 | C2 | — | 8 | 2 | no | — |
| 402 | C2 | — | 40 | 2 | no | — |
| 403 | C2 | — | 50 | 2 | no | — |
| 404 | C2 | — | 200 | 2 | no | — |
| 405 | C2 | #13106199 | 1 | 1 | yes | characteristic |
| 406 | C2 | #13106298 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #127×C5⋊D5 | C2 | semidirect |
| 2. C2×#11717055 | C2 | semidirect |
| 3. #13104977 | C2 | semidirect |
| 4. C5×#65363 | C2 | semidirect |
| 5. #13101692 | C2 | semidirect |
| 6. #13101687 | C2 | semidirect |
| 7. #13100531 | C2 | semidirect |
| 8. #13100515 | C2 | semidirect |
| 17. C2×C5×#687 | C22 | semidirect |
| 18. C2×C5×#686 | C22 | semidirect |
| 19. C5×#4021 | C22 | semidirect |
| 21. #11717032 | C22 | semidirect |
| 24. #11716985 | C22 | semidirect |
| 25. C2×#87774 | C22 | semidirect |
| 26. C2×#87771 | C22 | semidirect |
| 28. C5×#3935 | C22 | semidirect |
| 29. #11716594 | C22 | semidirect |
| 58. #87769 | D4 | semidirect |
| 67. #65363 | D5 | semidirect |
| 95. C5×#168 | C2×D4 | semidirect |
| 114. C2×#687 | C2×D5 | semidirect |
| 116. C2×#686 | C2×D5 | semidirect |
| 124. #4021 | C2×D5 | semidirect |
| 131. #3935 | C2×D5 | semidirect |
| 146. #1039 | AGL(1,ℤ/8) | semidirect |
| 266. #168 | D4×D5 | semidirect |
| 288. C52 | #3151 | semidirect |
| 385. C5 | #10613576 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #127×C5⋊D5 | 2 |
| C2×#11717055 | 2 |
| #13104977 | 2 |
| C5×#65363 | 2 |
| #13101692 | 2 |
| #13101687 | 2 |
| #13100531 | 2 |
| #13100515 | 2 |
| #10613576 | 5 |