Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
1092 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 1092 conjugacy classes of subgroups — too many to draw. Only its 119 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 | #24921236 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #24908303 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #24906198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #24905903 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C83×#1525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#14581838 | C4 | 1 | 2 | yes | — |
| 7 | #19128372 | — | 2 | 2 | no | — |
| 8 | D4×D332 | — | 2 | 2 | no | — |
| 9 | #19128335 | — | 2 | 4 | no | — |
| 10 | #19128269 | — | 2 | 2 | no | — |
| 11 | #19128265 | C4 | 1 | 2 | yes | — |
| 12 | #19128252 | — | 2 | 1 | no | — |
| 13 | C2×#14581789 | C22 | 1 | 1 | yes | characteristic |
| 14 | #127×D83 | — | 2 | 1 | no | — |
| 15 | C4×#13050590 | C22 | 1 | 1 | yes | characteristic |
| 16 | #19127725 | C22 | 1 | 2 | yes | complemented |
| 17 | C2×#14581708 | — | 2 | 4 | no | — |
| 18 | #19127450 | — | 2 | 1 | no | — |
| 19 | #19127445 | — | 2 | 1 | no | — |
| 20 | #19127433 | — | 2 | 2 | no | — |
| 21 | #19127430 | — | 2 | 2 | no | — |
| 22 | #532×C83 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×M16×C83 | C22 | 1 | 2 | yes | complemented |
| 24 | #329×C83 | — | 2 | 2 | no | — |
| 25 | #14581838 | — | 4 | 4 | no | — |
| 26 | #14581838 | — | 4 | 4 | no | — |
| 27 | C2×#13050591 | — | 2 | 2 | no | — |
| 28 | C2×#13050590 | — | 2 | 2 | no | — |
| 29 | C2×#13050590 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C22×D332 | — | 2 | 2 | no | — |
| 31 | C22×D332 | C2×C4 | 1 | 2 | yes | — |
| 32 | C22×D332 | D4 | 1 | 4 | yes | — |
| 33 | C2×D4×D83 | — | 2 | 4 | no | — |
| 34 | C2×D4×D83 | — | 2 | 4 | no | — |
| 35 | C2×D4×D83 | — | 2 | 2 | no | — |
| 36 | C2×#13050574 | — | 2 | 2 | no | — |
| 37 | #14581789 | — | 2 | 2 | no | — |
| 38 | #14581789 | — | 2 | 1 | no | — |
| 39 | #14581789 | — | 2 | 1 | no | — |
| 40 | #14581788 | — | 2 | 4 | no | — |
| 41 | #14581788 | — | 2 | 2 | no | — |
| 42 | #14581781 | — | 2 | 2 | no | — |
| 43 | #14581767 | — | 2 | 4 | no | — |
| 44 | #14581766 | — | 2 | 4 | no | — |
| 45 | #14581765 | — | 2 | 8 | no | — |
| 46 | #14581762 | — | 2 | 8 | no | — |
| 47 | #14581760 | — | 2 | 4 | no | — |
| 48 | C4×Dic166 | D4 | 1 | 2 | yes | — |
| 49 | C4×D332 | D4 | 1 | 2 | yes | — |
| 50 | #14581754 | — | 2 | 4 | no | — |
| 51 | C4×C22⋊D83 | — | 2 | 2 | no | — |
| 52 | #14581751 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | #14581749 | — | 2 | 1 | no | — |
| 54 | C42×D83 | — | 2 | 1 | no | — |
| 55 | C4⋊(C83⋊C8) | — | 2 | 2 | no | — |
| 56 | C4⋊(C83⋊C8) | — | 2 | 2 | no | — |
| 57 | #14581708 | — | 4 | 8 | no | — |
| 58 | C2×#41×C83 | C2×C4 | 1 | 2 | yes | — |
| 59 | C2×M16×C83 | — | 2 | 2 | no | — |
| 60 | C4⋊Q8×C83 | D4 | 1 | 1 | yes | characteristic |
| 61 | #127×C83 | D4 | 1 | 1 | yes | characteristic |
| 62 | #124×C83 | D4 | 1 | 2 | yes | — |
| 63 | #121×C83 | — | 2 | 2 | no | — |
| 64 | C4×D4×C83 | — | 2 | 2 | no | — |
| 65 | C2×C42×C83 | C23 | 1 | 1 | yes | characteristic |
| 66 | #97×C83 | — | 2 | 2 | no | — |
| 67 | C4×C8×C83 | — | 2 | 2 | no | — |
| 68 | C23×D83 | — | 2 | 4 | no | — |
| 69 | C23×D83 | C22⋊C4 | 1 | 4 | yes | — |
| 70 | #13050591 | — | 4 | 8 | no | — |
| 71 | #13050590 | — | 2 | 2 | no | — |
| 72 | #13050590 | — | 2 | 2 | no | — |
| 73 | #13050590 | — | 4 | 4 | no | — |
| 74 | #13050590 | — | 4 | 4 | no | — |
| 75 | C2×Dic166 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 76 | C2×D332 | — | 2 | 4 | no | — |
| 77 | C2×D332 | — | 2 | 2 | no | — |
| 78 | C2×D332 | — | 2 | 2 | no | — |
| 79 | C2×D332 | — | 2 | 4 | no | — |
| 80 | C2×D332 | — | 2 | 4 | no | — |
| 81 | C2×D332 | — | 4 | 4 | no | — |
| 82 | C2×D332 | — | 4 | 4 | no | — |
| 83 | C2×D332 | — | 4 | 2 | no | — |
| 84 | C2×D332 | — | 4 | 2 | no | — |
| 85 | C2×D332 | — | 4 | 4 | no | — |
| 86 | C2×D332 | — | 4 | 4 | no | — |
| 87 | C2×D332 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 88 | C2×C22⋊D83 | — | 2 | 1 | no | — |
| 89 | C2×C22⋊D83 | — | 2 | 4 | no | — |
| 90 | C2×C22⋊D83 | — | 2 | 8 | no | — |
| 91 | D4×D83 | — | 4 | 8 | no | — |
| 92 | D4×D83 | — | 4 | 16 | no | — |
| 93 | D4×D83 | — | 8 | 4 | no | — |
| 94 | D4×D83 | — | 8 | 4 | no | — |
| 95 | C2×C4×D83 | — | 2 | 1 | no | — |
| 96 | C2×C4×D83 | — | 2 | 4 | no | — |
| 97 | C2×C4×D83 | — | 2 | 2 | no | — |
| 98 | #13050574 | — | 4 | 4 | no | — |
| 99 | C2×C83⋊C8 | — | 4 | 2 | no | — |
| 100 | C4⋊Dic83 | C22⋊C4 | 1 | 2 | yes | — |
| 101 | Dic83⋊C4 | — | 2 | 2 | no | — |
| 102 | C22⋊Dic83 | — | 2 | 1 | no | — |
| 103 | (C2×D83)⋊C4 | — | 2 | 8 | no | — |
| 104 | (C2×D83)⋊C4 | — | 2 | 2 | no | — |
| 105 | C4×Dic83 | — | 2 | 1 | no | — |
| 106 | C4×Dic83 | — | 2 | 2 | no | — |
| 107 | #41×C83 | — | 4 | 2 | no | — |
| 108 | #41×C83 | — | 4 | 2 | no | — |
| 109 | C2×Q8×C83 | C22⋊C4 | 1 | 2 | yes | — |
| 110 | C2×D4×C83 | — | 2 | 2 | no | — |
| 111 | C2×D4×C83 | — | 2 | 2 | no | — |
| 112 | C2×D4×C83 | C22⋊C4 | 1 | 2 | yes | — |
| 113 | C22×C4×C83 | — | 2 | 2 | no | — |
| 114 | C22×C4×C83 | C22×C4 | 1 | 1 | yes | characteristic |
| 115 | C22×C4×C83 | C2×D4 | 1 | 2 | yes | — |
| 116 | M16×C83 | — | 2 | 4 | no | — |
| 117 | M16×C83 | — | 4 | 2 | no | — |
| 118 | C2×C8×C83 | — | 4 | 2 | no | — |
| 119 | C4⋊C4×C83 | — | 2 | 2 | no | — |
| 120 | C22⋊C4×C83 | — | 2 | 4 | no | — |
| 121 | C42×C83 | C2×D4 | 1 | 2 | yes | — |
| 122 | C42×C83 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C42×C83 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C23×C83 | — | 2 | 2 | no | — |
| 125 | C23×C83 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 126 | C22×D83 | — | 2 | 1 | no | — |
| 127 | C22×D83 | — | 2 | 4 | no | — |
| 128 | C22×D83 | — | 4 | 8 | no | — |
| 129 | C22×D83 | — | 4 | 4 | no | — |
| 130 | C22×D83 | — | 4 | 8 | no | — |
| 131 | C22×D83 | — | 8 | 8 | no | — |
| 132 | Q8×C83 | — | 4 | 2 | no | — |
| 133 | D4×C83 | — | 4 | 2 | no | — |
| 134 | D4×C83 | — | 4 | 4 | no | — |
| 135 | D4×C83 | — | 4 | 2 | no | — |
| 136 | D4×C83 | — | 4 | 2 | no | — |
| 137 | C2×C4×C83 | — | 2 | 1 | no | — |
| 138 | C2×C4×C83 | — | 2 | 1 | no | — |
| 139 | C2×C4×C83 | — | 2 | 2 | no | — |
| 140 | C2×C4×C83 | — | 2 | 2 | no | — |
| 141 | C2×C4×C83 | — | 2 | 2 | no | — |
| 142 | C2×C4×C83 | — | 4 | 2 | no | — |
| 143 | C2×C4×C83 | — | 4 | 2 | no | — |
| 144 | C2×C4×C83 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 145 | C2×C4×C83 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 146 | C2×C4×C83 | #120 | 1 | 2 | yes | — |
| 147 | C2×C4×C83 | #120 | 1 | 2 | yes | — |
| 148 | C22⋊D83 | — | 2 | 4 | no | — |
| 149 | C22⋊D83 | — | 4 | 8 | no | — |
| 150 | C22⋊D83 | — | 8 | 8 | no | — |
| 151 | C2×Dic83 | — | 2 | 1 | no | — |
| 152 | C2×Dic83 | — | 2 | 2 | no | — |
| 153 | D332 | — | 2 | 1 | no | — |
| 154 | D332 | — | 4 | 4 | no | — |
| 155 | D332 | — | 4 | 8 | no | — |
| 156 | D332 | — | 4 | 2 | no | — |
| 157 | D332 | — | 4 | 2 | no | — |
| 158 | D332 | — | 4 | 4 | no | — |
| 159 | D332 | — | 4 | 4 | no | — |
| 160 | D332 | — | 8 | 4 | no | — |
| 161 | D332 | #100 | 1 | 2 | yes | complemented |
| 162 | C4×D83 | — | 2 | 4 | no | — |
| 163 | C4×D83 | — | 4 | 8 | no | — |
| 164 | C4×D83 | — | 4 | 2 | no | — |
| 165 | C4×D83 | — | 4 | 2 | no | — |
| 166 | Dic166 | — | 2 | 1 | no | — |
| 167 | Dic166 | #100 | 1 | 2 | yes | complemented |
| 168 | C8×C83 | — | 4 | 4 | no | — |
| 169 | C83⋊C8 | — | 8 | 2 | no | — |
| 170 | C22×C83 | — | 2 | 2 | no | — |
| 171 | C22×C83 | — | 2 | 1 | no | — |
| 172 | C22×C83 | — | 4 | 4 | no | — |
| 173 | C22×C83 | — | 4 | 2 | no | — |
| 174 | C22×C83 | #379 | 1 | 1 | yes | characteristic |
| 175 | C2×D83 | — | 2 | 2 | no | — |
| 176 | C2×D83 | — | 4 | 2 | no | — |
| 177 | C2×D83 | — | 4 | 8 | no | — |
| 178 | C2×D83 | — | 4 | 4 | no | — |
| 179 | C2×D83 | — | 16 | 8 | no | — |
| 180 | C2×D83 | — | 16 | 4 | no | — |
| 181 | C4×C83 | — | 2 | 2 | no | — |
| 182 | C4×C83 | — | 2 | 1 | no | — |
| 183 | C4×C83 | — | 4 | 2 | no | — |
| 184 | C4×C83 | C2×#100 | 1 | 1 | yes | characteristic |
| 185 | C4×C83 | C2×#100 | 1 | 1 | yes | characteristic |
| 186 | C4×C83 | #453 | 1 | 2 | yes | — |
| 187 | C4×C83 | #455 | 1 | 2 | yes | — |
| 188 | Dic83 | — | 2 | 2 | no | — |
| 189 | Dic83 | — | 4 | 2 | no | — |
| 190 | #8469 | — | 83 | 1 | no | maximal, Sylow |
| 191 | C2×C83 | — | 4 | 1 | no | — |
| 192 | C2×C83 | — | 8 | 2 | no | — |
| 193 | C2×C83 | #1783 | 1 | 1 | yes | characteristic |
| 194 | C2×C83 | #1792 | 1 | 2 | yes | — |
| 195 | D83 | — | 4 | 2 | no | — |
| 196 | D83 | — | 8 | 4 | no | — |
| 197 | #3498 | — | 83 | 1 | no | — |
| 198 | #1965 | — | 83 | 2 | no | — |
| 199 | #1560 | — | 83 | 1 | no | — |
| 200 | #1525 | D83 | 1 | 1 | yes | characteristic, complemented |
| 201 | #1489 | — | 83 | 2 | no | — |
| 202 | C83 | #8469 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 203 | C2×H(5,𝔽2) | — | 83 | 2 | no | — |
| 204 | #550 | — | 166 | 2 | no | — |
| 205 | D42 | — | 166 | 2 | no | — |
| 206 | D42 | — | 166 | 4 | no | — |
| 207 | #535 | — | 83 | 2 | no | — |
| 208 | #535 | — | 166 | 2 | no | — |
| 209 | #532 | — | 166 | 1 | no | — |
| 210 | #532 | C2×D83 | 1 | 1 | yes | characteristic |
| 211 | C2×#127 | — | 83 | 1 | no | — |
| 212 | C2×#127 | — | 166 | 1 | no | — |
| 213 | C4×#41 | — | 83 | 1 | no | — |
| 214 | #423 | — | 83 | 2 | no | — |
| 215 | C2×#100 | — | 166 | 4 | no | — |
| 216 | C4×M16 | C2×D83 | 1 | 2 | yes | complemented |
| 217 | #333 | — | 166 | 1 | no | — |
| 218 | #331 | — | 166 | 1 | no | — |
| 219 | #329 | — | 2 | 2 | no | — |
| 220 | Q8⋊C8 | — | 166 | 2 | no | — |
| 221 | D4⋊C8 | — | 166 | 2 | no | — |
| 222 | H(5,𝔽2) | — | 332 | 4 | no | — |
| 223 | H(5,𝔽2) | — | 332 | 4 | no | — |
| 224 | C2×#41 | — | 83 | 1 | no | — |
| 225 | C2×#41 | — | 166 | 2 | no | — |
| 226 | C2×#41 | — | 166 | 2 | no | — |
| 227 | C2×#41 | C4×D83 | 1 | 2 | yes | — |
| 228 | C22×D4 | — | 83 | 2 | no | — |
| 229 | C22×D4 | — | 83 | 4 | no | — |
| 230 | C22×D4 | — | 166 | 2 | no | — |
| 231 | C22×D4 | — | 166 | 4 | no | — |
| 232 | C22×D4 | — | 166 | 4 | no | — |
| 233 | C22×D4 | — | 166 | 2 | no | — |
| 234 | C2×M16 | — | 2 | 2 | no | — |
| 235 | C2×M16 | — | 166 | 2 | no | — |
| 236 | C4⋊Q8 | D332 | 1 | 1 | yes | characteristic |
| 237 | #127 | — | 166 | 4 | no | — |
| 238 | #127 | — | 166 | 2 | no | — |
| 239 | #127 | — | 166 | 2 | no | — |
| 240 | #127 | — | 166 | 1 | no | — |
| 241 | #127 | — | 166 | 1 | no | — |
| 242 | #127 | D332 | 1 | 1 | yes | characteristic |
| 243 | #124 | — | 166 | 2 | no | — |
| 244 | #124 | C22⋊D83 | 1 | 2 | yes | — |
| 245 | #121 | — | 2 | 2 | no | — |
| 246 | #121 | — | 166 | 8 | no | — |
| 247 | #121 | — | 166 | 4 | no | — |
| 248 | #121 | — | 166 | 4 | no | — |
| 249 | #120 | — | 166 | 8 | no | — |
| 250 | #120 | — | 166 | 4 | no | — |
| 251 | C4×Q8 | — | 83 | 2 | no | — |
| 252 | C4×D4 | — | 2 | 2 | no | — |
| 253 | C4×D4 | — | 83 | 2 | no | — |
| 254 | C4×D4 | — | 166 | 4 | no | — |
| 255 | C4×D4 | — | 166 | 2 | no | — |
| 256 | #117 | — | 83 | 1 | no | — |
| 257 | #117 | — | 166 | 1 | no | — |
| 258 | C2×C42 | — | 166 | 1 | no | — |
| 259 | C2×C42 | C22×D83 | 1 | 1 | yes | characteristic |
| 260 | C4⋊C8 | — | 166 | 2 | no | — |
| 261 | C4⋊C8 | — | 166 | 2 | no | — |
| 262 | #100 | — | 332 | 8 | no | — |
| 263 | #97 | — | 2 | 2 | no | — |
| 264 | C4×C8 | — | 2 | 2 | no | — |
| 265 | C24 | — | 83 | 4 | no | — |
| 266 | C24 | — | 166 | 4 | no | — |
| 267 | #41 | — | 4 | 2 | no | — |
| 268 | #41 | — | 4 | 2 | no | — |
| 269 | #41 | — | 332 | 4 | no | — |
| 270 | #41 | — | 332 | 4 | no | — |
| 271 | #41 | — | 332 | 8 | no | — |
| 272 | #41 | — | 166 | 2 | no | — |
| 273 | #41 | — | 166 | 2 | no | — |
| 274 | C2×Q8 | — | 83 | 1 | no | — |
| 275 | C2×Q8 | (C2×D83)⋊C4 | 1 | 2 | yes | — |
| 276 | C2×D4 | — | 2 | 2 | no | — |
| 277 | C2×D4 | — | 2 | 2 | no | — |
| 278 | C2×D4 | — | 332 | 2 | no | — |
| 279 | C2×D4 | — | 332 | 2 | no | — |
| 280 | C2×D4 | — | 332 | 4 | no | — |
| 281 | C2×D4 | — | 332 | 4 | no | — |
| 282 | C2×D4 | — | 332 | 4 | no | — |
| 283 | C2×D4 | — | 332 | 4 | no | — |
| 284 | C2×D4 | — | 332 | 16 | no | — |
| 285 | C2×D4 | — | 332 | 8 | no | — |
| 286 | C2×D4 | — | 83 | 1 | no | — |
| 287 | C2×D4 | — | 664 | 4 | no | — |
| 288 | C2×D4 | — | 664 | 4 | no | — |
| 289 | C2×D4 | — | 166 | 4 | no | — |
| 290 | C2×D4 | — | 166 | 4 | no | — |
| 291 | C2×D4 | — | 166 | 8 | no | — |
| 292 | C2×D4 | — | 166 | 1 | no | — |
| 293 | C2×D4 | — | 166 | 4 | no | — |
| 294 | C2×D4 | — | 166 | 4 | no | — |
| 295 | C2×D4 | — | 166 | 2 | no | — |
| 296 | C2×D4 | — | 166 | 2 | no | — |
| 297 | C2×D4 | (C2×D83)⋊C4 | 1 | 2 | yes | — |
| 298 | C22×C4 | — | 2 | 2 | no | — |
| 299 | C22×C4 | — | 166 | 4 | no | — |
| 300 | C22×C4 | — | 166 | 2 | no | — |
| 301 | C22×C4 | — | 166 | 1 | no | — |
| 302 | C22×C4 | C2×C4×D83 | 1 | 1 | yes | characteristic |
| 303 | C22×C4 | D4×D83 | 1 | 2 | yes | — |
| 304 | M16 | — | 2 | 4 | no | — |
| 305 | M16 | — | 4 | 2 | no | — |
| 306 | M16 | — | 332 | 4 | no | — |
| 307 | C2×C8 | — | 4 | 2 | no | — |
| 308 | C2×C8 | — | 332 | 2 | no | — |
| 309 | C4⋊C4 | — | 2 | 2 | no | — |
| 310 | C4⋊C4 | — | 83 | 2 | no | — |
| 311 | C4⋊C4 | — | 166 | 2 | no | — |
| 312 | C22⋊C4 | — | 2 | 4 | no | — |
| 313 | C22⋊C4 | — | 166 | 8 | no | — |
| 314 | C22⋊C4 | — | 166 | 1 | no | — |
| 315 | C22⋊C4 | — | 166 | 2 | no | — |
| 316 | C42 | — | 166 | 2 | no | — |
| 317 | C42 | — | 166 | 1 | no | — |
| 318 | C42 | D4×D83 | 1 | 2 | yes | — |
| 319 | C42 | C2×C22⋊D83 | 1 | 1 | yes | characteristic |
| 320 | C42 | C2×D332 | 1 | 1 | yes | characteristic |
| 321 | C23 | — | 2 | 2 | no | — |
| 322 | C23 | — | 332 | 4 | no | — |
| 323 | C23 | — | 332 | 8 | no | — |
| 324 | C23 | — | 332 | 8 | no | — |
| 325 | C23 | — | 664 | 8 | no | — |
| 326 | C23 | — | 166 | 4 | no | — |
| 327 | C23 | — | 166 | 1 | no | — |
| 328 | C23 | C22⋊C4×D83 | 1 | 1 | yes | characteristic |
| 329 | Q8 | — | 4 | 2 | no | — |
| 330 | Q8 | — | 83 | 2 | no | — |
| 331 | Q8 | — | 166 | 1 | no | — |
| 332 | D4 | — | 4 | 2 | no | — |
| 333 | D4 | — | 4 | 4 | no | — |
| 334 | D4 | — | 4 | 2 | no | — |
| 335 | D4 | — | 4 | 2 | no | — |
| 336 | D4 | — | 332 | 4 | no | — |
| 337 | D4 | — | 332 | 8 | no | — |
| 338 | D4 | — | 332 | 8 | no | — |
| 339 | D4 | — | 332 | 4 | no | — |
| 340 | D4 | — | 332 | 4 | no | — |
| 341 | D4 | — | 332 | 2 | no | — |
| 342 | D4 | — | 332 | 2 | no | — |
| 343 | D4 | — | 83 | 2 | no | — |
| 344 | D4 | — | 664 | 4 | no | — |
| 345 | D4 | — | 664 | 8 | no | — |
| 346 | D4 | — | 166 | 4 | no | — |
| 347 | D4 | — | 166 | 1 | no | — |
| 348 | C2×C4 | — | 2 | 2 | no | — |
| 349 | C2×C4 | — | 2 | 2 | no | — |
| 350 | C2×C4 | — | 2 | 1 | no | — |
| 351 | C2×C4 | — | 2 | 1 | no | — |
| 352 | C2×C4 | — | 2 | 2 | no | — |
| 353 | C2×C4 | — | 4 | 2 | no | — |
| 354 | C2×C4 | — | 4 | 2 | no | — |
| 355 | C2×C4 | — | 332 | 8 | no | — |
| 356 | C2×C4 | — | 332 | 2 | no | — |
| 357 | C2×C4 | — | 332 | 2 | no | — |
| 358 | C2×C4 | — | 166 | 4 | no | — |
| 359 | C2×C4 | — | 166 | 2 | no | — |
| 360 | C2×C4 | — | 166 | 1 | no | — |
| 361 | C2×C4 | C22⋊C4×D83 | 1 | 1 | yes | characteristic |
| 362 | C2×C4 | C2×(C2×D83)⋊C4 | 1 | 1 | yes | characteristic |
| 363 | C2×C4 | #14581760 | 1 | 2 | yes | — |
| 364 | C2×C4 | #14581762 | 1 | 2 | yes | — |
| 365 | C8 | — | 4 | 4 | no | — |
| 366 | C8 | — | 664 | 2 | no | — |
| 367 | C22 | — | 2 | 1 | no | — |
| 368 | C22 | — | 2 | 2 | no | — |
| 369 | C22 | — | 4 | 2 | no | — |
| 370 | C22 | — | 4 | 4 | no | — |
| 371 | C22 | — | 1328 | 4 | no | — |
| 372 | C22 | — | 1328 | 8 | no | — |
| 373 | C22 | — | 332 | 2 | no | — |
| 374 | C22 | — | 332 | 4 | no | — |
| 375 | C22 | — | 332 | 8 | no | — |
| 376 | C22 | — | 166 | 2 | no | — |
| 377 | C22 | #19127556 | 1 | 1 | yes | characteristic |
| 378 | C4 | — | 2 | 1 | no | — |
| 379 | C4 | — | 2 | 2 | no | — |
| 380 | C4 | — | 4 | 2 | no | — |
| 381 | C4 | — | 332 | 2 | no | — |
| 382 | C4 | — | 166 | 2 | no | — |
| 383 | C4 | #100×D83 | 1 | 1 | yes | characteristic |
| 384 | C4 | #100×D83 | 1 | 1 | yes | characteristic |
| 385 | C4 | #19127870 | 1 | 2 | yes | — |
| 386 | C4 | #19127880 | 1 | 2 | yes | — |
| 387 | C2 | — | 4 | 1 | no | — |
| 388 | C2 | — | 8 | 2 | no | — |
| 389 | C2 | — | 332 | 2 | no | — |
| 390 | C2 | — | 664 | 4 | no | — |
| 391 | C2 | #24907382 | 1 | 1 | yes | characteristic |
| 392 | C2 | #24907418 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #24908303 | C2 | semidirect |
| 3. #24906198 | C2 | semidirect |
| 4. #24905903 | C2 | semidirect |
| 5. C83×#1525 | C2 | semidirect |
| 16. #19127725 | C22 | semidirect |
| 23. C4×M16×C83 | C22 | semidirect |
| 161. D332 | #100 | semidirect |
| 167. Dic166 | #100 | semidirect |
| 200. #1525 | D83 | semidirect |
| 202. C83 | #8469 | semidirect |
| 216. C4×M16 | C2×D83 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24921236 | 2 |
| #24908303 | 2 |
| #24906198 | 2 |
| #24905903 | 2 |
| C83×#1525 | 2 |
| #8469 | 83 |