Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
378 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 47 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 | C5×#3289 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10602123 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10601785 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10601782 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10598289 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10598263 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10598262 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C5×#578 | — | 2 | 1 | no | — |
| 9 | C5×#577 | — | 2 | 1 | no | — |
| 10 | #66006 | C22 | 1 | 1 | yes | characteristic |
| 11 | C5×#497 | C22 | 1 | 1 | yes | characteristic |
| 12 | C5×#473 | — | 2 | 1 | no | — |
| 13 | C5×#471 | — | 2 | 1 | no | — |
| 14 | C5×#456 | — | 2 | 1 | no | — |
| 15 | C5×#455 | C22 | 1 | 1 | yes | characteristic |
| 16 | C5×#454 | C22 | 1 | 1 | yes | characteristic |
| 17 | C5×#444 | — | 2 | 1 | no | — |
| 18 | #65535 | — | 2 | 1 | no | — |
| 19 | #65532 | — | 2 | 1 | no | — |
| 20 | #65369 | — | 2 | 1 | no | — |
| 21 | #64762 | C22 | 1 | 1 | yes | characteristic |
| 22 | #64761 | C22 | 1 | 1 | yes | characteristic |
| 23 | #64760 | C22 | 1 | 1 | yes | characteristic |
| 24 | #64698 | — | 2 | 1 | no | — |
| 25 | #64696 | — | 2 | 1 | no | — |
| 26 | #64685 | — | 2 | 1 | no | — |
| 27 | #13680 | — | 5 | 1 | no | maximal, Sylow |
| 28 | C5×2−1+4 | — | 2 | 1 | no | — |
| 29 | C5×2−1+4 | D4 | 1 | 1 | yes | characteristic |
| 30 | C5×H(5,𝔽2) | D4 | 1 | 1 | yes | characteristic |
| 31 | C5×#137 | — | 2 | 1 | no | — |
| 32 | C5×#137 | — | 2 | 1 | no | — |
| 33 | C5×#137 | — | 2 | 1 | no | — |
| 34 | C5×#137 | — | 4 | 1 | no | — |
| 35 | C5×#137 | — | 4 | 1 | no | — |
| 36 | C5×#137 | — | 4 | 1 | no | — |
| 37 | C5×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 38 | C5×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 39 | C5×#135 | — | 2 | 1 | no | — |
| 40 | C5×#135 | — | 4 | 1 | no | — |
| 41 | C5×#135 | — | 4 | 1 | no | — |
| 42 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 43 | C2×C5×Q16 | — | 4 | 1 | no | — |
| 44 | C2×C5×SD16 | — | 2 | 1 | no | — |
| 45 | C2×C5×SD16 | — | 4 | 1 | no | — |
| 46 | C5×#131 | — | 2 | 1 | no | — |
| 47 | C5×#131 | — | 2 | 1 | no | — |
| 48 | C5×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 49 | C5×#124 | C23 | 1 | 1 | yes | characteristic |
| 50 | #4097 | — | 4 | 1 | no | — |
| 51 | #4090 | — | 2 | 1 | no | — |
| 52 | #4081 | — | 2 | 1 | no | — |
| 53 | #4081 | — | 4 | 1 | no | — |
| 54 | #4025 | — | 4 | 1 | no | — |
| 55 | #4024 | — | 4 | 1 | no | — |
| 56 | #4016 | — | 2 | 1 | no | — |
| 57 | C5×#108 | — | 2 | 1 | no | — |
| 58 | C5×#104 | — | 2 | 1 | no | — |
| 59 | C5×#104 | — | 2 | 1 | no | — |
| 60 | C5×#101 | — | 2 | 1 | no | — |
| 61 | C5×#101 | D4 | 1 | 1 | yes | characteristic |
| 62 | C5×#100 | D4 | 1 | 1 | yes | characteristic |
| 63 | C5×#97 | D4 | 1 | 1 | yes | characteristic |
| 64 | #3969 | — | 4 | 1 | no | — |
| 65 | #3968 | — | 2 | 1 | no | — |
| 66 | #3966 | — | 2 | 1 | no | — |
| 67 | #3966 | — | 4 | 1 | no | — |
| 68 | #3940 | — | 4 | 1 | no | — |
| 69 | #3939 | — | 4 | 1 | no | — |
| 70 | #3935 | — | 2 | 1 | no | — |
| 71 | #3289 | D5 | 1 | 1 | yes | characteristic |
| 72 | #2203 | — | 5 | 1 | no | — |
| 73 | #2201 | — | 5 | 1 | no | — |
| 74 | #1660 | — | 5 | 1 | no | — |
| 75 | #1407 | — | 5 | 1 | no | — |
| 76 | #1404 | — | 5 | 1 | no | — |
| 77 | #1403 | — | 5 | 1 | no | — |
| 78 | C5×#41 | — | 2 | 1 | no | — |
| 79 | C5×#41 | — | 2 | 1 | no | — |
| 80 | C5×#41 | — | 4 | 1 | no | — |
| 81 | C5×#41 | — | 4 | 1 | no | — |
| 82 | C5×#41 | — | 4 | 1 | no | — |
| 83 | C5×#41 | — | 4 | 1 | no | — |
| 84 | C5×#41 | — | 4 | 1 | no | — |
| 85 | C5×#41 | — | 8 | 1 | no | — |
| 86 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 87 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 88 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 89 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 90 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 91 | C2×C5×D4 | — | 4 | 1 | no | — |
| 92 | C2×C5×D4 | — | 4 | 1 | no | — |
| 93 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C22×Dic5 | — | 2 | 1 | no | — |
| 95 | C2×Dic10 | — | 2 | 1 | no | — |
| 96 | C5×Q16 | — | 2 | 1 | no | — |
| 97 | C5×Q16 | — | 4 | 1 | no | — |
| 98 | C5×Q16 | — | 4 | 1 | no | — |
| 99 | C5×Q16 | — | 4 | 1 | no | — |
| 100 | C5×Q16 | — | 4 | 1 | no | — |
| 101 | C5×Q16 | — | 4 | 1 | no | — |
| 102 | C5×SD16 | — | 2 | 1 | no | — |
| 103 | C5×SD16 | — | 2 | 1 | no | — |
| 104 | C5×SD16 | — | 4 | 1 | no | — |
| 105 | C5×SD16 | — | 4 | 1 | no | — |
| 106 | C5×SD16 | — | 4 | 1 | no | — |
| 107 | C5×SD16 | — | 4 | 1 | no | — |
| 108 | C5×SD16 | — | 4 | 1 | no | — |
| 109 | C5×SD16 | — | 4 | 1 | no | — |
| 110 | C5×D8 | — | 2 | 1 | no | — |
| 111 | C5×D8 | — | 4 | 1 | no | — |
| 112 | C5×M16 | — | 2 | 1 | no | — |
| 113 | C5×M16 | — | 2 | 1 | no | — |
| 114 | C5×M16 | — | 4 | 1 | no | — |
| 115 | C5×M16 | — | 4 | 1 | no | — |
| 116 | C2×C5×C8 | — | 2 | 1 | no | — |
| 117 | C2×C5×C8 | — | 4 | 1 | no | — |
| 118 | C2×C5×C8 | — | 4 | 1 | no | — |
| 119 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 120 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 121 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 123 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 124 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 125 | C22⋊Dic5 | — | 8 | 1 | no | — |
| 126 | #689 | — | 8 | 1 | no | — |
| 127 | #687 | — | 8 | 1 | no | — |
| 128 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 129 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 130 | #683 | — | 4 | 1 | no | — |
| 131 | #683 | — | 4 | 1 | no | — |
| 132 | #683 | — | 4 | 1 | no | — |
| 133 | #683 | — | 8 | 1 | no | — |
| 134 | C4×Dic5 | — | 2 | 1 | no | — |
| 135 | #681 | — | 4 | 1 | no | — |
| 136 | C2×#168 | — | 4 | 1 | no | — |
| 137 | #578 | — | 2 | 1 | no | — |
| 138 | #577 | — | 2 | 1 | no | — |
| 139 | #563 | — | 5 | 1 | no | — |
| 140 | #501 | — | 10 | 1 | no | — |
| 141 | #497 | C2×D5 | 1 | 1 | yes | characteristic |
| 142 | #473 | — | 2 | 1 | no | — |
| 143 | #471 | — | 2 | 1 | no | — |
| 144 | #458 | — | 10 | 1 | no | — |
| 145 | #456 | — | 2 | 1 | no | — |
| 146 | #456 | — | 10 | 1 | no | — |
| 147 | #455 | C2×D5 | 1 | 1 | yes | characteristic |
| 148 | #454 | C2×D5 | 1 | 1 | yes | characteristic |
| 149 | #444 | — | 2 | 1 | no | — |
| 150 | #356 | — | 10 | 1 | no | — |
| 151 | #355 | — | 5 | 1 | no | — |
| 152 | #354 | — | 5 | 1 | no | — |
| 153 | #352 | — | 10 | 1 | no | — |
| 154 | #330 | — | 10 | 1 | no | — |
| 155 | #329 | — | 5 | 1 | no | — |
| 156 | C23×C5 | — | 2 | 1 | no | — |
| 157 | C23×C5 | — | 4 | 1 | no | — |
| 158 | C5×Q8 | — | 2 | 1 | no | — |
| 159 | C5×Q8 | — | 2 | 1 | no | — |
| 160 | C5×Q8 | — | 4 | 1 | no | — |
| 161 | C5×Q8 | — | 4 | 1 | no | — |
| 162 | C5×Q8 | — | 4 | 1 | no | — |
| 163 | C5×Q8 | — | 4 | 1 | no | — |
| 164 | C5×Q8 | — | 8 | 1 | no | — |
| 165 | C5×D4 | — | 2 | 1 | no | — |
| 166 | C5×D4 | — | 2 | 1 | no | — |
| 167 | C5×D4 | — | 4 | 1 | no | — |
| 168 | C5×D4 | — | 4 | 1 | no | — |
| 169 | C5×D4 | — | 4 | 1 | no | — |
| 170 | C5×D4 | — | 4 | 1 | no | — |
| 171 | C5×D4 | — | 8 | 1 | no | — |
| 172 | C5×D4 | — | 8 | 1 | no | — |
| 173 | C2×C4×C5 | — | 2 | 1 | no | — |
| 174 | C2×C4×C5 | — | 2 | 1 | no | — |
| 175 | C2×C4×C5 | — | 4 | 1 | no | — |
| 176 | C2×C4×C5 | — | 4 | 1 | no | — |
| 177 | C2×C4×C5 | — | 4 | 1 | no | — |
| 178 | C2×C4×C5 | — | 4 | 1 | no | — |
| 179 | C2×C4×C5 | — | 8 | 1 | no | — |
| 180 | C2×C4×C5 | — | 8 | 1 | no | — |
| 181 | C2×C4×C5 | — | 8 | 1 | no | — |
| 182 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 183 | C2×Dic5 | — | 4 | 1 | no | — |
| 184 | C2×Dic5 | — | 4 | 1 | no | — |
| 185 | C2×Dic5 | — | 8 | 1 | no | — |
| 186 | C2×Dic5 | — | 8 | 1 | no | — |
| 187 | Dic10 | — | 8 | 1 | no | — |
| 188 | C5×C8 | — | 2 | 1 | no | — |
| 189 | C5×C8 | — | 2 | 1 | no | — |
| 190 | C5×C8 | — | 4 | 1 | no | — |
| 191 | C5×C8 | — | 4 | 1 | no | — |
| 192 | #168 | — | 4 | 2 | no | — |
| 193 | #168 | — | 8 | 1 | no | — |
| 194 | 2−1+4 | — | 2 | 1 | no | — |
| 195 | 2−1+4 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 196 | H(5,𝔽2) | C22⋊D5 | 1 | 1 | yes | characteristic |
| 197 | #137 | — | 2 | 1 | no | — |
| 198 | #137 | — | 2 | 1 | no | — |
| 199 | #137 | — | 2 | 1 | no | — |
| 200 | #137 | — | 4 | 1 | no | — |
| 201 | #137 | — | 4 | 1 | no | — |
| 202 | #137 | — | 4 | 1 | no | — |
| 203 | #137 | — | 20 | 1 | no | — |
| 204 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 205 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 206 | #135 | — | 2 | 1 | no | — |
| 207 | #135 | — | 4 | 1 | no | — |
| 208 | #135 | — | 4 | 1 | no | — |
| 209 | C2×Q16 | — | 2 | 1 | no | — |
| 210 | C2×Q16 | — | 4 | 1 | no | — |
| 211 | C2×SD16 | — | 2 | 1 | no | — |
| 212 | C2×SD16 | — | 4 | 1 | no | — |
| 213 | #131 | — | 2 | 1 | no | — |
| 214 | #131 | — | 2 | 1 | no | — |
| 215 | C4⋊Q8 | — | 10 | 1 | no | — |
| 216 | C4⋊Q8 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 217 | #126 | — | 20 | 1 | no | — |
| 218 | #125 | — | 10 | 1 | no | — |
| 219 | #124 | C22×D5 | 1 | 1 | yes | characteristic |
| 220 | #123 | — | 10 | 1 | no | — |
| 221 | #123 | — | 20 | 1 | no | — |
| 222 | C22⋊Q8 | — | 20 | 1 | no | — |
| 223 | #108 | — | 2 | 1 | no | — |
| 224 | #107 | — | 20 | 1 | no | — |
| 225 | #106 | — | 20 | 1 | no | — |
| 226 | #104 | — | 2 | 1 | no | — |
| 227 | #104 | — | 2 | 1 | no | — |
| 228 | #104 | — | 20 | 1 | no | — |
| 229 | #101 | — | 2 | 1 | no | — |
| 230 | #101 | — | 10 | 1 | no | — |
| 231 | #101 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 232 | #100 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 233 | #99 | — | 10 | 1 | no | — |
| 234 | #99 | — | 20 | 1 | no | — |
| 235 | #97 | — | 10 | 1 | no | — |
| 236 | #97 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 237 | C22×C5 | — | 4 | 1 | no | — |
| 238 | C22×C5 | — | 4 | 1 | no | — |
| 239 | C22×C5 | — | 4 | 1 | no | — |
| 240 | C22×C5 | — | 8 | 1 | no | — |
| 241 | C22×C5 | — | 16 | 1 | no | — |
| 242 | C22×C5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 243 | C4×C5 | — | 2 | 1 | no | — |
| 244 | C4×C5 | — | 4 | 1 | no | — |
| 245 | C4×C5 | — | 4 | 1 | no | — |
| 246 | C4×C5 | — | 4 | 1 | no | — |
| 247 | C4×C5 | — | 4 | 1 | no | — |
| 248 | C4×C5 | — | 8 | 1 | no | — |
| 249 | Dic5 | — | 8 | 1 | no | — |
| 250 | Dic5 | — | 8 | 1 | no | — |
| 251 | Dic5 | — | 16 | 1 | no | — |
| 252 | #41 | — | 2 | 1 | no | — |
| 253 | #41 | — | 2 | 1 | no | — |
| 254 | #41 | — | 4 | 1 | no | — |
| 255 | #41 | — | 4 | 1 | no | — |
| 256 | #41 | — | 4 | 1 | no | — |
| 257 | #41 | — | 4 | 1 | no | — |
| 258 | #41 | — | 4 | 1 | no | — |
| 259 | #41 | — | 8 | 1 | no | — |
| 260 | C2×Q8 | — | 2 | 1 | no | — |
| 261 | C2×Q8 | — | 4 | 1 | no | — |
| 262 | C2×Q8 | — | 4 | 1 | no | — |
| 263 | C2×Q8 | — | 4 | 1 | no | — |
| 264 | C2×Q8 | — | 10 | 1 | no | — |
| 265 | C2×Q8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 266 | C2×D4 | — | 4 | 1 | no | — |
| 267 | C2×D4 | — | 4 | 1 | no | — |
| 268 | C2×D4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 269 | C22×C4 | — | 10 | 1 | no | — |
| 270 | Q16 | — | 2 | 1 | no | — |
| 271 | Q16 | — | 4 | 1 | no | — |
| 272 | Q16 | — | 4 | 1 | no | — |
| 273 | Q16 | — | 4 | 1 | no | — |
| 274 | Q16 | — | 4 | 1 | no | — |
| 275 | Q16 | — | 4 | 1 | no | — |
| 276 | Q16 | — | 40 | 1 | no | — |
| 277 | SD16 | — | 2 | 1 | no | — |
| 278 | SD16 | — | 2 | 1 | no | — |
| 279 | SD16 | — | 4 | 1 | no | — |
| 280 | SD16 | — | 4 | 1 | no | — |
| 281 | SD16 | — | 4 | 1 | no | — |
| 282 | SD16 | — | 4 | 1 | no | — |
| 283 | SD16 | — | 4 | 1 | no | — |
| 284 | SD16 | — | 4 | 1 | no | — |
| 285 | SD16 | — | 40 | 1 | no | — |
| 286 | D8 | — | 2 | 1 | no | — |
| 287 | D8 | — | 4 | 1 | no | — |
| 288 | M16 | — | 2 | 1 | no | — |
| 289 | M16 | — | 2 | 1 | no | — |
| 290 | M16 | — | 4 | 1 | no | — |
| 291 | M16 | — | 4 | 1 | no | — |
| 292 | M16 | — | 20 | 1 | no | — |
| 293 | C2×C8 | — | 2 | 1 | no | — |
| 294 | C2×C8 | — | 4 | 1 | no | — |
| 295 | C2×C8 | — | 4 | 1 | no | — |
| 296 | C2×C8 | — | 20 | 1 | no | — |
| 297 | C4⋊C4 | — | 4 | 1 | no | — |
| 298 | C4⋊C4 | — | 10 | 1 | no | — |
| 299 | C4⋊C4 | — | 10 | 1 | no | — |
| 300 | C4⋊C4 | — | 20 | 1 | no | — |
| 301 | C4⋊C4 | — | 20 | 1 | no | — |
| 302 | C4⋊C4 | — | 20 | 1 | no | — |
| 303 | C4⋊C4 | — | 40 | 1 | no | — |
| 304 | C22⋊C4 | — | 4 | 1 | no | — |
| 305 | C22⋊C4 | — | 10 | 1 | no | — |
| 306 | C22⋊C4 | — | 20 | 1 | no | — |
| 307 | C22⋊C4 | — | 20 | 1 | no | — |
| 308 | C22⋊C4 | — | 40 | 1 | no | — |
| 309 | C42 | — | 10 | 1 | no | — |
| 310 | C42 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 311 | C2×C5 | — | 2 | 1 | no | — |
| 312 | C2×C5 | — | 8 | 1 | no | — |
| 313 | C2×C5 | — | 8 | 1 | no | — |
| 314 | C2×C5 | — | 8 | 1 | no | — |
| 315 | C2×C5 | #2196 | 1 | 1 | yes | characteristic |
| 316 | C23 | — | 2 | 1 | no | — |
| 317 | C23 | — | 4 | 1 | no | — |
| 318 | Q8 | — | 2 | 1 | no | — |
| 319 | Q8 | — | 2 | 1 | no | — |
| 320 | Q8 | — | 4 | 1 | no | — |
| 321 | Q8 | — | 4 | 1 | no | — |
| 322 | Q8 | — | 4 | 1 | no | — |
| 323 | Q8 | — | 4 | 1 | no | — |
| 324 | Q8 | — | 8 | 1 | no | — |
| 325 | Q8 | — | 40 | 1 | no | — |
| 326 | D4 | — | 2 | 1 | no | — |
| 327 | D4 | — | 2 | 1 | no | — |
| 328 | D4 | — | 4 | 1 | no | — |
| 329 | D4 | — | 4 | 1 | no | — |
| 330 | D4 | — | 4 | 1 | no | — |
| 331 | D4 | — | 4 | 1 | no | — |
| 332 | D4 | — | 8 | 1 | no | — |
| 333 | D4 | — | 8 | 1 | no | — |
| 334 | C2×C4 | — | 2 | 1 | no | — |
| 335 | C2×C4 | — | 2 | 1 | no | — |
| 336 | C2×C4 | — | 4 | 1 | no | — |
| 337 | C2×C4 | — | 4 | 1 | no | — |
| 338 | C2×C4 | — | 4 | 1 | no | — |
| 339 | C2×C4 | — | 4 | 1 | no | — |
| 340 | C2×C4 | — | 8 | 1 | no | — |
| 341 | C2×C4 | — | 8 | 1 | no | — |
| 342 | C2×C4 | — | 8 | 1 | no | — |
| 343 | C2×C4 | — | 20 | 1 | no | — |
| 344 | C2×C4 | — | 20 | 1 | no | — |
| 345 | C2×C4 | — | 40 | 1 | no | — |
| 346 | C2×C4 | — | 40 | 1 | no | — |
| 347 | C2×C4 | #4099 | 1 | 1 | yes | characteristic |
| 348 | C8 | — | 2 | 1 | no | — |
| 349 | C8 | — | 2 | 1 | no | — |
| 350 | C8 | — | 4 | 1 | no | — |
| 351 | C8 | — | 4 | 1 | no | — |
| 352 | C8 | — | 20 | 2 | no | — |
| 353 | C8 | — | 40 | 1 | no | — |
| 354 | C5 | #13680 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 355 | C22 | — | 4 | 1 | no | — |
| 356 | C22 | — | 4 | 1 | no | — |
| 357 | C22 | — | 4 | 1 | no | — |
| 358 | C22 | — | 8 | 1 | no | — |
| 359 | C22 | — | 16 | 1 | no | — |
| 360 | C22 | #65533 | 1 | 1 | yes | characteristic |
| 361 | C4 | — | 2 | 1 | no | — |
| 362 | C4 | — | 4 | 1 | no | — |
| 363 | C4 | — | 4 | 1 | no | — |
| 364 | C4 | — | 4 | 1 | no | — |
| 365 | C4 | — | 4 | 1 | no | — |
| 366 | C4 | — | 8 | 1 | no | — |
| 367 | C4 | — | 40 | 1 | no | — |
| 368 | C4 | — | 40 | 1 | no | — |
| 369 | C4 | — | 80 | 1 | no | — |
| 370 | C2 | — | 2 | 1 | no | — |
| 371 | C2 | — | 8 | 1 | no | — |
| 372 | C2 | — | 8 | 1 | no | — |
| 373 | C2 | — | 8 | 1 | no | — |
| 374 | C2 | #10602702 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10602123 | C2 | semidirect |
| 3. #10601785 | C2 | semidirect |
| 4. #10601782 | C2 | semidirect |
| 5. #10598289 | C2 | semidirect |
| 6. #10598263 | C2 | semidirect |
| 7. #10598262 | C2 | semidirect |
| 354. C5 | #13680 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3289 | 2 |
| #10602123 | 2 |
| #10601785 | 2 |
| #10601782 | 2 |
| #10598289 | 2 |
| #10598263 | 2 |
| #10598262 | 2 |
| #13680 | 5 |