Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
490 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 90 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 | #10617404 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10612596 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10604786 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10604765 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10598604 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×D5×D8 | C22 | 1 | 1 | yes | characteristic |
| 7 | C2×#4053 | C22 | 1 | 1 | yes | characteristic |
| 8 | #65941 | — | 2 | 1 | no | — |
| 9 | #65745 | — | 2 | 1 | no | — |
| 10 | C2×#3998 | — | 2 | 1 | no | — |
| 11 | #65725 | — | 2 | 4 | no | — |
| 12 | #65721 | C22 | 1 | 2 | yes | — |
| 13 | D5⋊M32 | — | 2 | 1 | no | — |
| 14 | D5⋊M32 | C22 | 1 | 2 | yes | — |
| 15 | C5×#469 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #65448 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #65424 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | #65327 | — | 2 | 1 | no | — |
| 19 | #65154 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | #65149 | C22 | 1 | 1 | yes | characteristic |
| 21 | #65064 | — | 2 | 1 | no | — |
| 22 | #65059 | — | 2 | 1 | no | — |
| 23 | #64904 | — | 2 | 4 | no | — |
| 24 | #64895 | — | 2 | 1 | no | — |
| 25 | #13074 | — | 5 | 1 | no | maximal, Sylow |
| 26 | C2×D4×D5 | — | 2 | 1 | no | — |
| 27 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 28 | #4130 | — | 2 | 2 | no | — |
| 29 | C2×C5×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C2×C5×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 31 | C5×#121 | — | 2 | 1 | no | — |
| 32 | #4086 | — | 4 | 1 | no | — |
| 33 | #4084 | — | 2 | 1 | no | — |
| 34 | #4083 | — | 4 | 1 | no | — |
| 35 | C2×#686 | — | 2 | 1 | no | — |
| 36 | #4076 | — | 2 | 1 | no | — |
| 37 | C22×#168 | D4 | 1 | 1 | yes | characteristic |
| 38 | D5×D8 | — | 2 | 2 | no | — |
| 39 | D5×D8 | — | 2 | 2 | no | — |
| 40 | #4053 | — | 2 | 2 | no | — |
| 41 | #4053 | — | 2 | 2 | no | — |
| 42 | C2×D40 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C2×#676 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×#676 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×C8×D5 | D4 | 1 | 1 | yes | characteristic |
| 46 | C2×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 47 | #4041 | — | 2 | 1 | no | — |
| 48 | #4038 | — | 2 | 1 | no | — |
| 49 | #4031 | — | 4 | 1 | no | — |
| 50 | #4028 | — | 4 | 1 | no | — |
| 51 | #4011 | — | 4 | 1 | no | — |
| 52 | #3999 | — | 4 | 1 | no | — |
| 53 | #3998 | — | 2 | 2 | no | — |
| 54 | #3998 | — | 2 | 2 | no | — |
| 55 | C2×#674 | — | 2 | 2 | no | — |
| 56 | #3994 | — | 2 | 2 | no | — |
| 57 | #3993 | — | 2 | 2 | no | — |
| 58 | #3990 | — | 2 | 2 | no | — |
| 59 | #3990 | — | 2 | 2 | no | — |
| 60 | D5⋊C16 | — | 2 | 2 | no | — |
| 61 | D5⋊C16 | D4 | 1 | 4 | yes | complemented |
| 62 | C5×#106 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C5×#102 | — | 2 | 1 | no | — |
| 64 | #3964 | — | 2 | 1 | no | — |
| 65 | #3953 | — | 2 | 1 | no | — |
| 66 | #3949 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | #3941 | — | 2 | 1 | no | — |
| 68 | #3939 | — | 2 | 1 | no | — |
| 69 | #3407 | — | 5 | 1 | no | — |
| 70 | #3058 | — | 5 | 1 | no | — |
| 71 | #2140 | — | 5 | 2 | no | — |
| 72 | #1812 | — | 5 | 1 | no | — |
| 73 | #1384 | — | 5 | 2 | no | — |
| 74 | C23×D5 | — | 4 | 1 | no | — |
| 75 | C2×C5×D4 | — | 2 | 1 | no | — |
| 76 | C2×C5×D4 | — | 4 | 1 | no | — |
| 77 | C22×C4×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 78 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 79 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 80 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 81 | C2×C22⋊D5 | D8 | 1 | 1 | yes | characteristic |
| 82 | C2×C22⋊D5 | SD16 | 1 | 1 | yes | characteristic |
| 83 | D4×D5 | — | 4 | 2 | no | — |
| 84 | D4×D5 | — | 4 | 2 | no | — |
| 85 | #709 | — | 2 | 2 | no | — |
| 86 | #709 | — | 2 | 2 | no | — |
| 87 | C2×D20 | — | 2 | 1 | no | — |
| 88 | C2×D20 | — | 4 | 1 | no | — |
| 89 | C2×D20 | D8 | 1 | 1 | yes | characteristic |
| 90 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 91 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 92 | C2×Dic10 | SD16 | 1 | 1 | yes | characteristic |
| 93 | C22⋊AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 94 | C4⋊AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 95 | C4×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 96 | C5×D8 | — | 2 | 2 | no | — |
| 97 | C5×M16 | — | 2 | 2 | no | — |
| 98 | C2×C5×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 99 | C2×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 100 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 101 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 102 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 103 | #686 | — | 4 | 1 | no | — |
| 104 | #686 | — | 4 | 1 | no | — |
| 105 | #685 | — | 4 | 1 | no | — |
| 106 | #685 | — | 4 | 1 | no | — |
| 107 | #685 | — | 4 | 1 | no | — |
| 108 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 109 | C4×Dic5 | — | 4 | 1 | no | — |
| 110 | C2×#168 | — | 2 | 1 | no | — |
| 111 | C2×#168 | — | 2 | 1 | no | — |
| 112 | C2×#168 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | D40 | — | 2 | 2 | no | — |
| 115 | #676 | — | 2 | 2 | no | — |
| 116 | #676 | — | 2 | 2 | no | — |
| 117 | C8×D5 | — | 2 | 1 | no | — |
| 118 | C8×D5 | — | 2 | 1 | no | — |
| 119 | C8×D5 | C2×D4 | 1 | 2 | yes | — |
| 120 | C8×D5 | #41 | 1 | 2 | yes | — |
| 121 | #674 | — | 2 | 4 | no | — |
| 122 | C22×D8 | — | 5 | 1 | no | — |
| 123 | C2×#131 | — | 5 | 1 | no | — |
| 124 | #535 | — | 10 | 1 | no | — |
| 125 | #504 | — | 10 | 4 | no | — |
| 126 | C2×M32 | — | 5 | 2 | no | — |
| 127 | C2×M32 | — | 10 | 1 | no | — |
| 128 | C2×M32 | — | 10 | 1 | no | — |
| 129 | #469 | — | 5 | 1 | no | — |
| 130 | #469 | — | 5 | 1 | no | — |
| 131 | #469 | — | 5 | 1 | no | — |
| 132 | #469 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 133 | #466 | — | 10 | 1 | no | — |
| 134 | #466 | — | 10 | 1 | no | — |
| 135 | #427 | — | 5 | 1 | no | — |
| 136 | #427 | — | 5 | 2 | no | — |
| 137 | #418 | — | 10 | 1 | no | — |
| 138 | #410 | — | 10 | 1 | no | — |
| 139 | #357 | — | 10 | 4 | no | — |
| 140 | H(3,ℤ/4) | — | 10 | 1 | no | — |
| 141 | C23×C5 | — | 4 | 1 | no | — |
| 142 | C23×C5 | #102 | 1 | 1 | yes | characteristic |
| 143 | C22×D5 | — | 4 | 1 | no | — |
| 144 | C22×D5 | — | 8 | 2 | no | — |
| 145 | C22×D5 | — | 16 | 1 | no | — |
| 146 | C22×D5 | — | 16 | 1 | no | — |
| 147 | C22×D5 | #102 | 1 | 1 | yes | characteristic |
| 148 | C22×D5 | C2×D8 | 1 | 1 | yes | characteristic |
| 149 | C2×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 150 | C5×D4 | — | 4 | 1 | no | — |
| 151 | C5×D4 | — | 4 | 1 | no | — |
| 152 | C5×D4 | — | 16 | 1 | no | — |
| 153 | C2×C4×C5 | — | 2 | 1 | no | — |
| 154 | C2×C4×C5 | — | 2 | 1 | no | — |
| 155 | C2×C4×C5 | — | 4 | 1 | no | — |
| 156 | C2×C4×C5 | #102 | 1 | 1 | yes | characteristic |
| 157 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 158 | C22⋊D5 | — | 2 | 2 | no | — |
| 159 | C22⋊D5 | — | 2 | 2 | no | — |
| 160 | C22⋊D5 | — | 8 | 2 | no | — |
| 161 | C22⋊D5 | — | 16 | 1 | no | — |
| 162 | C22⋊D5 | — | 16 | 1 | no | — |
| 163 | C2×Dic5 | — | 4 | 1 | no | — |
| 164 | C2×Dic5 | #102 | 1 | 1 | yes | characteristic |
| 165 | C2×Dic5 | C2×SD16 | 1 | 1 | yes | characteristic |
| 166 | D20 | — | 2 | 2 | no | — |
| 167 | D20 | — | 4 | 1 | no | — |
| 168 | D20 | — | 4 | 1 | no | — |
| 169 | D20 | — | 16 | 1 | no | — |
| 170 | C4×D5 | — | 2 | 1 | no | — |
| 171 | C4×D5 | — | 2 | 1 | no | — |
| 172 | C4×D5 | #121 | 1 | 2 | yes | — |
| 173 | C4×D5 | #135 | 1 | 2 | yes | — |
| 174 | Dic10 | — | 2 | 2 | no | — |
| 175 | C5×C8 | — | 2 | 1 | no | — |
| 176 | C5×C8 | C4×D4 | 1 | 2 | yes | — |
| 177 | #168 | — | 2 | 1 | no | — |
| 178 | #168 | #120 | 1 | 1 | yes | characteristic |
| 179 | #168 | #123 | 1 | 1 | yes | characteristic |
| 180 | C2×#41 | — | 5 | 1 | no | — |
| 181 | C22×D4 | — | 10 | 1 | no | — |
| 182 | C2×D8 | — | 5 | 1 | no | — |
| 183 | C2×D8 | — | 10 | 2 | no | — |
| 184 | C2×D8 | — | 10 | 2 | no | — |
| 185 | C2×D8 | — | 10 | 1 | no | — |
| 186 | C2×D8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 187 | #131 | — | 10 | 2 | no | — |
| 188 | #131 | — | 10 | 2 | no | — |
| 189 | C2×M16 | — | 5 | 1 | no | — |
| 190 | C2×M16 | — | 5 | 1 | no | — |
| 191 | C2×M16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 192 | C22×C8 | — | 5 | 1 | no | — |
| 193 | C22×C8 | — | 5 | 1 | no | — |
| 194 | C22×C8 | — | 5 | 1 | no | — |
| 195 | #127 | — | 20 | 1 | no | — |
| 196 | #124 | — | 20 | 1 | no | — |
| 197 | #121 | — | 2 | 1 | no | — |
| 198 | #121 | — | 10 | 1 | no | — |
| 199 | #121 | — | 10 | 1 | no | — |
| 200 | #121 | — | 10 | 1 | no | — |
| 201 | #120 | — | 20 | 1 | no | — |
| 202 | #120 | — | 20 | 1 | no | — |
| 203 | #117 | — | 10 | 1 | no | — |
| 204 | #117 | — | 10 | 2 | no | — |
| 205 | M32 | — | 10 | 2 | no | — |
| 206 | M32 | — | 10 | 2 | no | — |
| 207 | M32 | — | 10 | 2 | no | — |
| 208 | M32 | — | 10 | 2 | no | — |
| 209 | C2×C16 | — | 5 | 4 | no | — |
| 210 | C2×C16 | — | 10 | 2 | no | — |
| 211 | C2×C16 | — | 10 | 2 | no | — |
| 212 | #107 | — | 10 | 1 | no | — |
| 213 | #107 | — | 10 | 2 | no | — |
| 214 | #106 | — | 5 | 1 | no | — |
| 215 | #106 | — | 10 | 2 | no | — |
| 216 | #106 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 217 | #102 | — | 2 | 1 | no | — |
| 218 | #102 | — | 10 | 1 | no | — |
| 219 | #102 | — | 10 | 1 | no | — |
| 220 | #102 | — | 10 | 1 | no | — |
| 221 | #99 | — | 20 | 1 | no | — |
| 222 | #99 | — | 20 | 1 | no | — |
| 223 | C22×C5 | — | 2 | 1 | no | — |
| 224 | C22×C5 | — | 4 | 1 | no | — |
| 225 | C22×C5 | — | 8 | 1 | no | — |
| 226 | C22×C5 | — | 8 | 1 | no | — |
| 227 | C22×C5 | — | 8 | 1 | no | — |
| 228 | C22×C5 | C2×#102 | 1 | 1 | yes | characteristic |
| 229 | C2×D5 | — | 2 | 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 | C2×D5 | #466 | 1 | 2 | yes | — |
| 237 | AGL(1,𝔽5) | — | 16 | 2 | no | — |
| 238 | C4×C5 | — | 2 | 1 | no | — |
| 239 | C4×C5 | — | 8 | 1 | no | — |
| 240 | C4×C5 | #386 | 1 | 1 | yes | characteristic |
| 241 | C4×C5 | #416 | 1 | 1 | yes | characteristic |
| 242 | Dic5 | — | 2 | 1 | no | — |
| 243 | Dic5 | — | 8 | 1 | no | — |
| 244 | Dic5 | #465 | 1 | 2 | yes | — |
| 245 | C24 | — | 20 | 1 | no | — |
| 246 | #41 | — | 10 | 2 | no | — |
| 247 | #41 | — | 10 | 2 | no | — |
| 248 | C2×Q8 | — | 5 | 1 | no | — |
| 249 | C2×D4 | — | 2 | 1 | no | — |
| 250 | C2×D4 | — | 4 | 1 | no | — |
| 251 | C2×D4 | — | 5 | 1 | no | — |
| 252 | C2×D4 | — | 5 | 1 | no | — |
| 253 | C2×D4 | — | 5 | 1 | no | — |
| 254 | C2×D4 | — | 10 | 1 | no | — |
| 255 | C2×D4 | — | 20 | 1 | no | — |
| 256 | C2×D4 | — | 20 | 2 | no | — |
| 257 | C2×D4 | — | 20 | 2 | no | — |
| 258 | C2×D4 | — | 20 | 1 | no | — |
| 259 | C2×D4 | — | 20 | 1 | no | — |
| 260 | C2×D4 | — | 20 | 1 | no | — |
| 261 | C22×C4 | — | 5 | 1 | no | — |
| 262 | C22×C4 | — | 5 | 1 | no | — |
| 263 | C22×C4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 264 | D8 | — | 2 | 2 | no | — |
| 265 | D8 | — | 10 | 2 | no | — |
| 266 | D8 | — | 20 | 1 | no | — |
| 267 | D8 | — | 20 | 1 | no | — |
| 268 | M16 | — | 2 | 2 | no | — |
| 269 | M16 | — | 10 | 2 | no | — |
| 270 | M16 | — | 10 | 2 | no | — |
| 271 | C2×C8 | — | 5 | 1 | no | — |
| 272 | C2×C8 | — | 5 | 2 | no | — |
| 273 | C2×C8 | — | 5 | 2 | no | — |
| 274 | C2×C8 | — | 5 | 1 | no | — |
| 275 | C2×C8 | — | 10 | 1 | no | — |
| 276 | C2×C8 | — | 10 | 1 | no | — |
| 277 | C2×C8 | — | 10 | 1 | no | — |
| 278 | C2×C8 | — | 10 | 1 | no | — |
| 279 | C2×C8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 280 | C2×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 281 | C4⋊C4 | — | 2 | 1 | no | — |
| 282 | C4⋊C4 | — | 10 | 1 | no | — |
| 283 | C4⋊C4 | — | 20 | 2 | no | — |
| 284 | C22⋊C4 | — | 4 | 1 | no | — |
| 285 | C22⋊C4 | — | 20 | 1 | no | — |
| 286 | C22⋊C4 | — | 20 | 1 | no | — |
| 287 | C22⋊C4 | — | 20 | 1 | no | — |
| 288 | C22⋊C4 | — | 20 | 1 | no | — |
| 289 | C22⋊C4 | — | 20 | 2 | no | — |
| 290 | C42 | — | 20 | 1 | no | — |
| 291 | C42 | — | 20 | 2 | no | — |
| 292 | C16 | — | 10 | 4 | no | — |
| 293 | C2×C5 | — | 2 | 1 | no | — |
| 294 | C2×C5 | — | 4 | 1 | no | — |
| 295 | C2×C5 | — | 16 | 1 | no | — |
| 296 | C2×C5 | #1893 | 1 | 1 | yes | characteristic |
| 297 | D5 | — | 2 | 2 | no | — |
| 298 | D5 | — | 4 | 1 | no | — |
| 299 | D5 | — | 16 | 1 | no | — |
| 300 | C23 | — | 4 | 1 | no | — |
| 301 | C23 | — | 5 | 1 | no | — |
| 302 | C23 | — | 5 | 1 | no | — |
| 303 | C23 | — | 20 | 1 | no | — |
| 304 | C23 | — | 40 | 2 | no | — |
| 305 | C23 | — | 80 | 1 | no | — |
| 306 | C23 | — | 80 | 1 | no | — |
| 307 | C23 | #4007 | 1 | 1 | yes | characteristic |
| 308 | Q8 | — | 10 | 2 | no | — |
| 309 | D4 | — | 4 | 1 | no | — |
| 310 | D4 | — | 4 | 1 | no | — |
| 311 | D4 | — | 10 | 2 | no | — |
| 312 | D4 | — | 10 | 2 | no | — |
| 313 | D4 | — | 10 | 2 | no | — |
| 314 | D4 | — | 16 | 1 | no | — |
| 315 | D4 | — | 20 | 1 | no | — |
| 316 | D4 | — | 20 | 1 | no | — |
| 317 | D4 | — | 40 | 2 | no | — |
| 318 | D4 | — | 80 | 1 | no | — |
| 319 | D4 | — | 80 | 1 | no | — |
| 320 | D4 | — | 80 | 1 | no | — |
| 321 | C2×C4 | — | 2 | 1 | no | — |
| 322 | C2×C4 | — | 2 | 1 | no | — |
| 323 | C2×C4 | — | 4 | 1 | no | — |
| 324 | C2×C4 | — | 5 | 1 | no | — |
| 325 | C2×C4 | — | 5 | 2 | no | — |
| 326 | C2×C4 | — | 5 | 2 | no | — |
| 327 | C2×C4 | — | 5 | 1 | no | — |
| 328 | C2×C4 | — | 10 | 1 | no | — |
| 329 | C2×C4 | — | 10 | 1 | no | — |
| 330 | C2×C4 | — | 20 | 1 | no | — |
| 331 | C2×C4 | — | 40 | 2 | no | — |
| 332 | C2×C4 | #4007 | 1 | 1 | yes | characteristic |
| 333 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 334 | C8 | — | 2 | 1 | no | — |
| 335 | C8 | — | 5 | 1 | no | — |
| 336 | C8 | — | 5 | 1 | no | — |
| 337 | C8 | — | 10 | 1 | no | — |
| 338 | C8 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 339 | C5 | #13074 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 340 | C22 | — | 2 | 1 | no | — |
| 341 | C22 | — | 4 | 1 | no | — |
| 342 | C22 | — | 5 | 2 | no | — |
| 343 | C22 | — | 8 | 1 | no | — |
| 344 | C22 | — | 8 | 1 | no | — |
| 345 | C22 | — | 8 | 1 | no | — |
| 346 | C22 | — | 10 | 1 | no | — |
| 347 | C22 | — | 20 | 1 | no | — |
| 348 | C22 | — | 20 | 1 | no | — |
| 349 | C22 | — | 40 | 1 | no | — |
| 350 | C22 | — | 40 | 1 | no | — |
| 351 | C22 | — | 40 | 1 | no | — |
| 352 | C22 | — | 80 | 4 | no | — |
| 353 | C22 | C2×#4007 | 1 | 1 | yes | characteristic |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 5 | 2 | no | — |
| 356 | C4 | — | 8 | 1 | no | — |
| 357 | C4 | — | 10 | 1 | no | — |
| 358 | C4 | — | 40 | 1 | no | — |
| 359 | C4 | — | 80 | 2 | no | — |
| 360 | C4 | #65779 | 1 | 1 | yes | characteristic |
| 361 | C4 | #65794 | 1 | 1 | yes | characteristic |
| 362 | C2 | — | 2 | 1 | no | — |
| 363 | C2 | — | 4 | 1 | no | — |
| 364 | C2 | — | 10 | 2 | no | — |
| 365 | C2 | — | 16 | 1 | no | — |
| 366 | C2 | — | 20 | 1 | no | — |
| 367 | C2 | — | 80 | 1 | no | — |
| 368 | C2 | #10604493 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10617404 | C2 | semidirect |
| 3. #10604786 | C2 | semidirect |
| 4. #10604765 | C2 | semidirect |
| 5. #10598604 | C2 | semidirect |
| 15. C5×#469 | C4 | semidirect |
| 16. #65448 | C4 | semidirect |
| 17. #65424 | C4 | semidirect |
| 19. #65154 | C4 | semidirect |
| 61. D5⋊C16 | D4 | semidirect |
| 132. #469 | AGL(1,𝔽5) | semidirect |
| 339. C5 | #13074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617404 | 2 |
| #10612596 | 2 |
| #10604786 | 2 |
| #10604765 | 2 |
| #10598604 | 2 |
| #13074 | 5 |