Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
422 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 57 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 | #10612454 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×#2185 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10602867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10602856 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10598266 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10598018 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10598014 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×C5×Q16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 9 | C2×#4088 | — | 2 | 1 | no | — |
| 10 | #65941 | — | 2 | 1 | no | — |
| 11 | C2×C5×SD32 | — | 2 | 1 | no | — |
| 12 | C5×#466 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#3968 | — | 2 | 1 | no | — |
| 14 | C2×#3960 | — | 2 | 1 | no | — |
| 15 | #65445 | — | 2 | 1 | no | — |
| 16 | #65404 | C22 | 1 | 1 | yes | characteristic |
| 17 | #65399 | C22 | 1 | 1 | yes | characteristic |
| 18 | #65328 | — | 2 | 1 | no | — |
| 19 | #65174 | — | 2 | 1 | no | — |
| 20 | #65073 | — | 2 | 1 | no | — |
| 21 | #65062 | — | 2 | 1 | no | — |
| 22 | C5×#358 | — | 2 | 1 | no | — |
| 23 | C5×C22⋊C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #64784 | — | 2 | 1 | no | — |
| 25 | #64772 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C22⋊#672 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #12111 | — | 5 | 1 | no | maximal, Sylow |
| 28 | C22×C5×Q8 | — | 2 | 1 | no | — |
| 29 | C2×D4×D5 | — | 2 | 1 | no | — |
| 30 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 31 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 32 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 33 | C2×C5×Q16 | — | 4 | 2 | no | — |
| 34 | C2×C5×D8 | D4 | 1 | 1 | yes | characteristic |
| 35 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 36 | C5×#121 | — | 2 | 1 | no | — |
| 37 | C2×#689 | — | 4 | 1 | no | — |
| 38 | #4088 | — | 4 | 2 | no | — |
| 39 | #4088 | — | 4 | 2 | no | — |
| 40 | C2×#688 | — | 4 | 1 | no | — |
| 41 | #4086 | — | 4 | 1 | no | — |
| 42 | #4084 | — | 2 | 1 | no | — |
| 43 | #4083 | — | 4 | 1 | no | — |
| 44 | C2×#686 | — | 2 | 1 | no | — |
| 45 | #4076 | — | 2 | 1 | no | — |
| 46 | C2×#681 | — | 2 | 1 | no | — |
| 47 | C2×#681 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×D40 | D4 | 1 | 1 | yes | characteristic |
| 49 | #4041 | — | 2 | 1 | no | — |
| 50 | #4038 | — | 2 | 1 | no | — |
| 51 | #4031 | — | 4 | 1 | no | — |
| 52 | #4028 | — | 4 | 1 | no | — |
| 53 | C5×SD32 | — | 4 | 2 | no | — |
| 54 | C2×C5×C16 | — | 2 | 1 | no | — |
| 55 | C5×#107 | D4 | 1 | 1 | yes | characteristic |
| 56 | C5×#102 | — | 2 | 1 | no | — |
| 57 | #3968 | — | 4 | 2 | no | — |
| 58 | #3964 | — | 2 | 1 | no | — |
| 59 | #3960 | — | 4 | 2 | no | — |
| 60 | #3953 | — | 2 | 1 | no | — |
| 61 | #3952 | — | 2 | 1 | no | — |
| 62 | #3952 | — | 2 | 1 | no | — |
| 63 | #3950 | D4 | 1 | 1 | yes | characteristic |
| 64 | C2×#672 | — | 2 | 1 | no | — |
| 65 | #3941 | — | 2 | 1 | no | — |
| 66 | #3940 | — | 2 | 1 | no | — |
| 67 | #3199 | — | 5 | 1 | no | — |
| 68 | #2185 | — | 5 | 1 | no | — |
| 69 | #2185 | D5 | 1 | 1 | yes | characteristic, complemented |
| 70 | #2020 | — | 5 | 1 | no | — |
| 71 | #1349 | — | 5 | 1 | no | — |
| 72 | #1349 | — | 5 | 1 | no | — |
| 73 | #1315 | — | 5 | 1 | no | — |
| 74 | C23×D5 | — | 4 | 1 | no | — |
| 75 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 76 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 77 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 78 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 79 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 80 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 81 | C2×C5×D4 | — | 2 | 1 | no | — |
| 82 | C2×C5×D4 | — | 4 | 1 | no | — |
| 83 | C22×C4×C5 | — | 4 | 1 | no | — |
| 84 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 85 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 86 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 87 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 88 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 89 | D4×D5 | — | 8 | 1 | no | — |
| 90 | D4×D5 | — | 8 | 1 | no | — |
| 91 | #709 | — | 4 | 1 | no | — |
| 92 | #709 | — | 4 | 1 | no | — |
| 93 | C2×D20 | — | 2 | 1 | no | — |
| 94 | C2×D20 | — | 4 | 1 | no | — |
| 95 | C2×D20 | D8 | 1 | 1 | yes | characteristic |
| 96 | C2×C4×D5 | — | 2 | 1 | no | — |
| 97 | C2×Dic10 | D8 | 1 | 1 | yes | characteristic |
| 98 | C5×Q16 | — | 2 | 2 | no | — |
| 99 | C5×Q16 | — | 2 | 2 | no | — |
| 100 | C5×Q16 | — | 4 | 1 | no | — |
| 101 | C5×Q16 | — | 4 | 1 | no | — |
| 102 | C5×D8 | — | 4 | 1 | no | — |
| 103 | C2×C5×C8 | — | 4 | 1 | no | — |
| 104 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 107 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 108 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 109 | #689 | — | 4 | 4 | no | — |
| 110 | #688 | — | 4 | 4 | no | — |
| 111 | #686 | — | 8 | 1 | no | — |
| 112 | #685 | — | 4 | 1 | no | — |
| 113 | #685 | — | 4 | 1 | no | — |
| 114 | #685 | — | 4 | 1 | no | — |
| 115 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 116 | C4×Dic5 | — | 4 | 1 | no | — |
| 117 | #681 | — | 2 | 2 | no | — |
| 118 | #681 | — | 4 | 1 | no | — |
| 119 | #681 | — | 4 | 1 | no | — |
| 120 | C2×#168 | — | 2 | 1 | no | — |
| 121 | C2×#168 | — | 4 | 1 | no | — |
| 122 | D40 | — | 4 | 1 | no | — |
| 123 | C5×C16 | — | 4 | 1 | no | — |
| 124 | #672 | — | 4 | 1 | no | — |
| 125 | C2×#137 | — | 10 | 1 | no | — |
| 126 | C22×Q16 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 127 | #535 | — | 10 | 1 | no | — |
| 128 | C2×SD32 | — | 2 | 1 | no | — |
| 129 | C2×SD32 | — | 10 | 1 | no | — |
| 130 | #482 | — | 10 | 1 | no | — |
| 131 | #482 | — | 10 | 1 | no | — |
| 132 | #469 | — | 10 | 1 | no | — |
| 133 | #466 | — | 5 | 1 | no | — |
| 134 | #466 | C2×D5 | 1 | 1 | yes | characteristic |
| 135 | #447 | — | 10 | 1 | no | — |
| 136 | #447 | — | 10 | 1 | no | — |
| 137 | C2×#101 | — | 10 | 1 | no | — |
| 138 | #408 | — | 5 | 1 | no | — |
| 139 | #358 | — | 2 | 1 | no | — |
| 140 | #358 | — | 10 | 1 | no | — |
| 141 | C22⋊C16 | — | 5 | 1 | no | — |
| 142 | C22⋊C16 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 143 | #341 | — | 5 | 1 | no | — |
| 144 | C23×C5 | — | 4 | 1 | no | — |
| 145 | C23×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 146 | C22×D5 | — | 2 | 1 | no | — |
| 147 | C22×D5 | — | 4 | 1 | no | — |
| 148 | C22×D5 | — | 8 | 2 | no | — |
| 149 | C22×D5 | — | 16 | 1 | no | — |
| 150 | C22×D5 | — | 16 | 1 | no | — |
| 151 | C5×Q8 | — | 4 | 2 | no | — |
| 152 | C5×Q8 | — | 4 | 2 | no | — |
| 153 | C5×Q8 | — | 8 | 1 | no | — |
| 154 | C5×Q8 | — | 8 | 1 | no | — |
| 155 | C5×D4 | — | 4 | 1 | no | — |
| 156 | C5×D4 | — | 4 | 1 | no | — |
| 157 | C5×D4 | — | 16 | 1 | no | — |
| 158 | C2×C4×C5 | — | 2 | 1 | no | — |
| 159 | C2×C4×C5 | — | 2 | 1 | no | — |
| 160 | C2×C4×C5 | — | 4 | 2 | no | — |
| 161 | C2×C4×C5 | — | 4 | 1 | no | — |
| 162 | C2×C4×C5 | — | 8 | 1 | no | — |
| 163 | C2×C4×C5 | — | 8 | 1 | no | — |
| 164 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 166 | C22⋊D5 | — | 8 | 1 | no | — |
| 167 | C22⋊D5 | — | 8 | 2 | no | — |
| 168 | C22⋊D5 | — | 16 | 1 | no | — |
| 169 | C22⋊D5 | — | 16 | 1 | no | — |
| 170 | C2×Dic5 | — | 2 | 1 | no | — |
| 171 | C2×Dic5 | — | 4 | 1 | no | — |
| 172 | D20 | — | 4 | 1 | no | — |
| 173 | D20 | — | 4 | 1 | no | — |
| 174 | D20 | — | 4 | 1 | no | — |
| 175 | D20 | — | 16 | 1 | no | — |
| 176 | C4×D5 | — | 4 | 1 | no | — |
| 177 | C4×D5 | — | 4 | 1 | no | — |
| 178 | Dic10 | — | 4 | 1 | no | — |
| 179 | C5×C8 | — | 2 | 1 | no | — |
| 180 | C5×C8 | — | 2 | 1 | no | — |
| 181 | #168 | — | 4 | 2 | no | — |
| 182 | #168 | — | 4 | 1 | no | — |
| 183 | C2×#41 | — | 5 | 1 | no | — |
| 184 | C22×Q8 | — | 2 | 1 | no | — |
| 185 | C22×D4 | — | 10 | 1 | no | — |
| 186 | #137 | — | 20 | 2 | no | — |
| 187 | #137 | — | 20 | 2 | no | — |
| 188 | C2×Q16 | — | 2 | 1 | no | — |
| 189 | C2×Q16 | — | 2 | 1 | no | — |
| 190 | C2×Q16 | — | 4 | 2 | no | — |
| 191 | C2×Q16 | — | 20 | 1 | no | — |
| 192 | C2×SD16 | — | 20 | 1 | no | — |
| 193 | C2×D8 | — | 5 | 1 | no | — |
| 194 | C2×D8 | — | 10 | 1 | no | — |
| 195 | C2×D8 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 196 | C2×M16 | — | 5 | 1 | no | — |
| 197 | C2×M16 | — | 10 | 1 | no | — |
| 198 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 199 | #127 | — | 20 | 1 | no | — |
| 200 | #124 | — | 20 | 1 | no | — |
| 201 | #121 | — | 2 | 1 | no | — |
| 202 | #121 | — | 10 | 1 | no | — |
| 203 | #121 | — | 10 | 1 | no | — |
| 204 | #121 | — | 10 | 1 | no | — |
| 205 | #120 | — | 20 | 1 | no | — |
| 206 | #120 | — | 20 | 1 | no | — |
| 207 | #117 | — | 10 | 1 | no | — |
| 208 | SD32 | — | 4 | 2 | no | — |
| 209 | SD32 | — | 20 | 2 | no | — |
| 210 | C2×C16 | — | 2 | 1 | no | — |
| 211 | C2×C16 | — | 10 | 1 | no | — |
| 212 | #107 | — | 5 | 1 | no | — |
| 213 | #107 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 214 | #106 | — | 10 | 1 | no | — |
| 215 | #102 | — | 2 | 1 | no | — |
| 216 | #102 | — | 10 | 1 | no | — |
| 217 | #102 | — | 10 | 1 | no | — |
| 218 | #102 | — | 10 | 1 | no | — |
| 219 | #101 | — | 20 | 2 | no | — |
| 220 | C22⋊C8 | — | 10 | 1 | no | — |
| 221 | C22⋊C8 | — | 10 | 1 | no | — |
| 222 | C22×C5 | — | 2 | 1 | no | — |
| 223 | C22×C5 | — | 2 | 1 | no | — |
| 224 | C22×C5 | — | 2 | 1 | no | — |
| 225 | C22×C5 | — | 8 | 1 | no | — |
| 226 | C22×C5 | — | 8 | 1 | no | — |
| 227 | C22×C5 | — | 8 | 1 | no | — |
| 228 | C22×C5 | #447 | 1 | 1 | yes | characteristic |
| 229 | C2×D5 | — | 4 | 1 | no | — |
| 230 | C2×D5 | — | 4 | 1 | no | — |
| 231 | C2×D5 | — | 4 | 1 | no | — |
| 232 | C2×D5 | — | 8 | 1 | no | — |
| 233 | C2×D5 | — | 8 | 1 | no | — |
| 234 | C2×D5 | — | 8 | 1 | no | — |
| 235 | C2×D5 | — | 16 | 4 | no | — |
| 236 | C4×C5 | — | 2 | 1 | no | — |
| 237 | C4×C5 | — | 8 | 2 | no | — |
| 238 | C4×C5 | — | 8 | 1 | no | — |
| 239 | C4×C5 | #453 | 1 | 1 | yes | characteristic |
| 240 | C4×C5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 241 | Dic5 | — | 4 | 1 | no | — |
| 242 | Dic5 | — | 8 | 1 | no | — |
| 243 | C24 | — | 20 | 1 | no | — |
| 244 | #41 | — | 20 | 1 | no | — |
| 245 | #41 | — | 20 | 1 | no | — |
| 246 | C2×Q8 | — | 2 | 2 | no | — |
| 247 | C2×Q8 | — | 4 | 1 | no | — |
| 248 | C2×Q8 | — | 4 | 1 | no | — |
| 249 | C2×Q8 | — | 4 | 1 | no | — |
| 250 | C2×Q8 | — | 4 | 1 | no | — |
| 251 | C2×Q8 | — | 4 | 1 | no | — |
| 252 | C2×Q8 | — | 5 | 1 | no | — |
| 253 | C2×D4 | — | 2 | 1 | no | — |
| 254 | C2×D4 | — | 4 | 1 | no | — |
| 255 | C2×D4 | — | 5 | 1 | no | — |
| 256 | C2×D4 | — | 10 | 1 | no | — |
| 257 | C2×D4 | — | 10 | 1 | no | — |
| 258 | C2×D4 | — | 20 | 1 | no | — |
| 259 | C2×D4 | — | 20 | 1 | no | — |
| 260 | C2×D4 | — | 20 | 1 | no | — |
| 261 | C2×D4 | — | 20 | 1 | no | — |
| 262 | C2×D4 | — | 40 | 1 | no | — |
| 263 | C2×D4 | — | 40 | 1 | no | — |
| 264 | C22×C4 | — | 4 | 1 | no | — |
| 265 | C22×C4 | — | 10 | 1 | no | — |
| 266 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 267 | Q16 | — | 2 | 2 | no | — |
| 268 | Q16 | — | 2 | 2 | no | — |
| 269 | Q16 | — | 4 | 1 | no | — |
| 270 | Q16 | — | 4 | 1 | no | — |
| 271 | Q16 | — | 20 | 4 | no | — |
| 272 | SD16 | — | 20 | 4 | no | — |
| 273 | D8 | — | 4 | 1 | no | — |
| 274 | D8 | — | 20 | 1 | no | — |
| 275 | D8 | — | 40 | 1 | no | — |
| 276 | M16 | — | 10 | 2 | no | — |
| 277 | M16 | — | 20 | 1 | no | — |
| 278 | M16 | — | 20 | 1 | no | — |
| 279 | C2×C8 | — | 4 | 1 | no | — |
| 280 | C2×C8 | — | 10 | 1 | no | — |
| 281 | C2×C8 | — | 20 | 1 | no | — |
| 282 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 283 | C2×C8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 284 | C4⋊C4 | — | 2 | 1 | no | — |
| 285 | C4⋊C4 | — | 10 | 1 | no | — |
| 286 | C22⋊C4 | — | 4 | 1 | no | — |
| 287 | C22⋊C4 | — | 20 | 1 | no | — |
| 288 | C22⋊C4 | — | 20 | 1 | no | — |
| 289 | C22⋊C4 | — | 20 | 1 | no | — |
| 290 | C22⋊C4 | — | 20 | 1 | no | — |
| 291 | C42 | — | 20 | 1 | no | — |
| 292 | C16 | — | 4 | 1 | no | — |
| 293 | C16 | — | 20 | 1 | no | — |
| 294 | C2×C5 | — | 4 | 1 | no | — |
| 295 | C2×C5 | — | 16 | 1 | no | — |
| 296 | C2×C5 | #1595 | 1 | 1 | yes | characteristic |
| 297 | C2×C5 | #2194 | 1 | 1 | yes | characteristic |
| 298 | C2×C5 | #2194 | 1 | 1 | yes | characteristic |
| 299 | D5 | — | 8 | 1 | no | — |
| 300 | D5 | — | 16 | 1 | no | — |
| 301 | C23 | — | 4 | 1 | no | — |
| 302 | C23 | — | 10 | 1 | no | — |
| 303 | C23 | — | 20 | 1 | no | — |
| 304 | C23 | — | 40 | 2 | no | — |
| 305 | C23 | — | 80 | 1 | no | — |
| 306 | C23 | — | 80 | 1 | no | — |
| 307 | C23 | #4057 | 1 | 1 | yes | characteristic |
| 308 | Q8 | — | 4 | 2 | no | — |
| 309 | Q8 | — | 4 | 2 | no | — |
| 310 | Q8 | — | 8 | 1 | no | — |
| 311 | Q8 | — | 8 | 1 | no | — |
| 312 | Q8 | — | 20 | 1 | no | — |
| 313 | D4 | — | 4 | 1 | no | — |
| 314 | D4 | — | 4 | 1 | no | — |
| 315 | D4 | — | 16 | 1 | no | — |
| 316 | D4 | — | 20 | 1 | no | — |
| 317 | D4 | — | 20 | 1 | no | — |
| 318 | D4 | — | 20 | 1 | no | — |
| 319 | D4 | — | 40 | 1 | no | — |
| 320 | D4 | — | 40 | 2 | no | — |
| 321 | D4 | — | 80 | 1 | no | — |
| 322 | D4 | — | 80 | 1 | no | — |
| 323 | D4 | — | 80 | 1 | no | — |
| 324 | C2×C4 | — | 2 | 1 | no | — |
| 325 | C2×C4 | — | 2 | 1 | no | — |
| 326 | C2×C4 | — | 4 | 2 | no | — |
| 327 | C2×C4 | — | 4 | 1 | no | — |
| 328 | C2×C4 | — | 8 | 1 | no | — |
| 329 | C2×C4 | — | 8 | 1 | no | — |
| 330 | C2×C4 | — | 10 | 1 | no | — |
| 331 | C2×C4 | — | 20 | 1 | no | — |
| 332 | C2×C4 | — | 20 | 1 | no | — |
| 333 | C2×C4 | — | 20 | 1 | no | — |
| 334 | C2×C4 | D5×D8 | 1 | 1 | yes | characteristic |
| 335 | C2×C4 | #4083 | 1 | 1 | yes | characteristic |
| 336 | C8 | — | 2 | 1 | no | — |
| 337 | C8 | — | 2 | 1 | no | — |
| 338 | C8 | — | 20 | 2 | no | — |
| 339 | C8 | — | 20 | 1 | no | — |
| 340 | C5 | #12111 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 341 | C22 | — | 2 | 1 | no | — |
| 342 | C22 | — | 2 | 1 | no | — |
| 343 | C22 | — | 2 | 1 | no | — |
| 344 | C22 | — | 8 | 1 | no | — |
| 345 | C22 | — | 8 | 1 | no | — |
| 346 | C22 | — | 8 | 1 | no | — |
| 347 | C22 | — | 20 | 1 | no | — |
| 348 | C22 | — | 20 | 1 | no | — |
| 349 | C22 | — | 20 | 1 | no | — |
| 350 | C22 | — | 40 | 1 | no | — |
| 351 | C22 | — | 40 | 1 | no | — |
| 352 | C22 | — | 40 | 1 | no | — |
| 353 | C22 | — | 80 | 4 | no | — |
| 354 | C22 | #65445 | 1 | 1 | yes | characteristic |
| 355 | C4 | — | 2 | 1 | no | — |
| 356 | C4 | — | 8 | 2 | no | — |
| 357 | C4 | — | 8 | 1 | no | — |
| 358 | C4 | — | 20 | 1 | no | — |
| 359 | C4 | — | 40 | 1 | no | — |
| 360 | C4 | #65321 | 1 | 1 | yes | characteristic |
| 361 | C4 | #65487 | 1 | 1 | yes | characteristic |
| 362 | C2 | — | 4 | 1 | no | — |
| 363 | C2 | — | 16 | 1 | no | — |
| 364 | C2 | — | 40 | 1 | no | — |
| 365 | C2 | — | 80 | 1 | no | — |
| 366 | C2 | #10601761 | 1 | 1 | yes | characteristic |
| 367 | C2 | #10602283 | 1 | 1 | yes | characteristic |
| 368 | C2 | #10602316 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C5×#2185 | C2 | semidirect |
| 3. #10602867 | C2 | semidirect |
| 4. #10602856 | C2 | semidirect |
| 5. #10598266 | C2 | semidirect |
| 6. #10598018 | C2 | semidirect |
| 7. #10598014 | C2 | semidirect |
| 8. C22×C5×Q16 | C22 | semidirect |
| 23. C5×C22⋊C16 | C22 | semidirect |
| 25. #64772 | C22 | semidirect |
| 26. C22⋊#672 | C22 | semidirect |
| 69. #2185 | D5 | semidirect |
| 126. C22×Q16 | C2×D5 | semidirect |
| 142. C22⋊C16 | C2×D5 | semidirect |
| 340. C5 | #12111 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10612454 | 2 |
| C5×#2185 | 2 |
| #10602867 | 2 |
| #10602856 | 2 |
| #10598266 | 2 |
| #10598018 | 2 |
| #10598014 | 2 |
| #12111 | 5 |