Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
758 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 103 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 | #10617956 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×#2120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10602507 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10600943 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10600930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10600850 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10600839 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C5×#525 | C22 | 1 | 1 | yes | characteristic |
| 9 | #66164 | C22 | 1 | 1 | yes | characteristic |
| 10 | #66159 | C22 | 1 | 1 | yes | characteristic |
| 11 | #66153 | C22 | 1 | 1 | yes | characteristic |
| 12 | #66125 | — | 2 | 1 | no | — |
| 13 | #65998 | — | 2 | 1 | no | — |
| 14 | #65993 | C4 | 1 | 2 | yes | complemented |
| 15 | #65974 | — | 2 | 2 | no | — |
| 16 | #65947 | — | 2 | 2 | no | — |
| 17 | #65929 | — | 2 | 1 | no | — |
| 18 | #65928 | C4 | 1 | 2 | yes | complemented |
| 19 | #65897 | — | 2 | 1 | no | — |
| 20 | #65886 | — | 2 | 1 | no | — |
| 21 | #65884 | — | 2 | 1 | no | — |
| 22 | #65876 | — | 2 | 1 | no | — |
| 23 | #65868 | — | 2 | 1 | no | — |
| 24 | C5×#413 | C22 | 1 | 1 | yes | characteristic |
| 25 | C5×#410 | C22 | 1 | 1 | yes | characteristic |
| 26 | #65526 | C22 | 1 | 1 | yes | characteristic |
| 27 | #65496 | — | 2 | 1 | no | — |
| 28 | C2×#3955 | — | 2 | 1 | no | — |
| 29 | #65293 | — | 2 | 1 | no | — |
| 30 | C5×#352 | — | 2 | 1 | no | — |
| 31 | C5×AΣL(1,𝔽16) | — | 2 | 1 | no | — |
| 32 | #64776 | — | 2 | 1 | no | — |
| 33 | #64753 | — | 2 | 1 | no | — |
| 34 | #64751 | — | 2 | 1 | no | — |
| 35 | #64698 | — | 2 | 2 | no | — |
| 36 | #64691 | — | 2 | 2 | no | — |
| 37 | #12756 | — | 5 | 1 | no | maximal, Sylow |
| 38 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 39 | C23×C4×C5 | D4 | 1 | 1 | yes | characteristic |
| 40 | C2×#709 | — | 2 | 1 | no | — |
| 41 | C22×D20 | D4 | 1 | 1 | yes | characteristic |
| 42 | C22×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×C5×M16 | — | 2 | 1 | no | — |
| 44 | C5×#123 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C5×#123 | D4 | 1 | 1 | yes | characteristic |
| 46 | C5×C22⋊Q8 | — | 2 | 1 | no | — |
| 47 | C5×#121 | — | 2 | 1 | no | — |
| 48 | C5×#120 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C5×#120 | D4 | 1 | 1 | yes | characteristic |
| 50 | C4×C5×D4 | — | 2 | 1 | no | — |
| 51 | C4×C5×D4 | — | 2 | 1 | no | — |
| 52 | C5×#117 | — | 2 | 1 | no | — |
| 53 | C5×#117 | D4 | 1 | 1 | yes | characteristic |
| 54 | #4099 | — | 2 | 2 | no | — |
| 55 | #4094 | — | 4 | 2 | no | — |
| 56 | #4093 | — | 2 | 1 | no | — |
| 57 | #4090 | D4 | 1 | 2 | yes | — |
| 58 | #4086 | — | 2 | 1 | no | — |
| 59 | #4085 | — | 2 | 2 | no | — |
| 60 | #4084 | — | 2 | 2 | no | — |
| 61 | #4083 | — | 2 | 2 | no | — |
| 62 | #4083 | C2×C4 | 1 | 2 | yes | — |
| 63 | #4083 | D4 | 1 | 2 | yes | — |
| 64 | #4082 | — | 2 | 2 | no | — |
| 65 | #4082 | C2×C4 | 1 | 2 | yes | — |
| 66 | #4081 | — | 2 | 1 | no | — |
| 67 | #4081 | — | 2 | 1 | no | — |
| 68 | #4076 | — | 2 | 1 | no | — |
| 69 | #4076 | — | 2 | 1 | no | — |
| 70 | #4076 | — | 2 | 1 | no | — |
| 71 | #4075 | — | 2 | 2 | no | — |
| 72 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 73 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 74 | #4072 | — | 2 | 1 | no | — |
| 75 | #4072 | D4 | 1 | 1 | yes | characteristic |
| 76 | #4072 | D4 | 1 | 1 | yes | characteristic |
| 77 | #4070 | — | 2 | 1 | no | — |
| 78 | #4070 | — | 2 | 1 | no | — |
| 79 | #4070 | — | 2 | 1 | no | — |
| 80 | C2×#681 | — | 2 | 1 | no | — |
| 81 | C2×#681 | — | 2 | 1 | no | — |
| 82 | C2×#681 | — | 2 | 1 | no | — |
| 83 | C2×#681 | — | 2 | 1 | no | — |
| 84 | #4044 | — | 2 | 2 | no | — |
| 85 | #4042 | — | 2 | 2 | no | — |
| 86 | #4042 | — | 2 | 2 | no | — |
| 87 | #4040 | — | 2 | 2 | no | — |
| 88 | #4038 | — | 2 | 2 | no | — |
| 89 | #4033 | — | 2 | 2 | no | — |
| 90 | #4031 | — | 2 | 2 | no | — |
| 91 | #4031 | — | 2 | 2 | no | — |
| 92 | #4031 | — | 2 | 2 | no | — |
| 93 | #4031 | — | 2 | 2 | no | — |
| 94 | #4030 | — | 2 | 2 | no | — |
| 95 | #4029 | — | 2 | 2 | no | — |
| 96 | #4027 | — | 2 | 2 | no | — |
| 97 | D5×C22⋊C4 | — | 2 | 2 | no | — |
| 98 | #4025 | — | 2 | 2 | no | — |
| 99 | #4025 | — | 2 | 2 | no | — |
| 100 | #4021 | — | 2 | 1 | no | — |
| 101 | C4×D20 | — | 2 | 1 | no | — |
| 102 | #4015 | — | 2 | 1 | no | — |
| 103 | C4×Dic10 | — | 2 | 1 | no | — |
| 104 | C5×#101 | — | 2 | 1 | no | — |
| 105 | C5×#100 | — | 2 | 1 | no | — |
| 106 | C5×#99 | — | 2 | 1 | no | — |
| 107 | C5×#99 | — | 2 | 1 | no | — |
| 108 | #3968 | — | 2 | 1 | no | — |
| 109 | #3965 | — | 2 | 1 | no | — |
| 110 | C22⋊#168 | — | 4 | 2 | no | — |
| 111 | #3955 | — | 4 | 2 | no | — |
| 112 | #3942 | — | 4 | 2 | no | — |
| 113 | #3540 | — | 5 | 1 | no | — |
| 114 | #2135 | — | 5 | 1 | no | — |
| 115 | #2122 | — | 5 | 1 | no | — |
| 116 | #2120 | D5 | 1 | 1 | yes | characteristic, complemented |
| 117 | #1914 | — | 5 | 1 | no | — |
| 118 | #1909 | — | 5 | 1 | no | — |
| 119 | #1891 | — | 5 | 1 | no | — |
| 120 | C24×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 121 | C23×D5 | C22⋊C4 | 1 | 2 | yes | — |
| 122 | C5×#41 | — | 4 | 1 | no | — |
| 123 | C5×#41 | — | 4 | 1 | no | — |
| 124 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | C2×C5×D4 | — | 2 | 1 | no | — |
| 126 | C2×C5×D4 | — | 2 | 1 | no | — |
| 127 | C2×C5×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C22×C4×C5 | — | 2 | 1 | no | — |
| 131 | C22×C4×C5 | — | 2 | 1 | no | — |
| 132 | C22×C4×C5 | — | 4 | 1 | no | — |
| 133 | C22×C4×C5 | — | 4 | 1 | no | — |
| 134 | C22×C4×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 135 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 139 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 140 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 141 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 142 | C22×Dic5 | — | 2 | 1 | no | — |
| 143 | #709 | — | 8 | 1 | no | — |
| 144 | #709 | — | 8 | 1 | no | — |
| 145 | C2×D20 | — | 2 | 1 | no | — |
| 146 | C2×D20 | — | 2 | 1 | no | — |
| 147 | C2×D20 | — | 4 | 1 | no | — |
| 148 | C2×D20 | — | 4 | 1 | no | — |
| 149 | C2×C4×D5 | — | 2 | 2 | no | — |
| 150 | C2×C4×D5 | — | 2 | 2 | no | — |
| 151 | C2×Dic10 | — | 2 | 1 | no | — |
| 152 | C2×Dic10 | — | 2 | 2 | no | — |
| 153 | C2×Dic10 | — | 4 | 1 | no | — |
| 154 | C2×Dic10 | — | 4 | 1 | no | — |
| 155 | C2×Dic10 | C22⋊C4 | 1 | 2 | yes | — |
| 156 | C5×M16 | — | 4 | 1 | no | — |
| 157 | C5×M16 | — | 4 | 1 | no | — |
| 158 | C2×C5×C8 | — | 4 | 1 | no | — |
| 159 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 160 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 161 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 162 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 163 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 164 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 165 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 166 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 167 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 168 | C5×C22⋊C4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 169 | C5×C22⋊C4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 170 | C42×C5 | — | 2 | 1 | no | — |
| 171 | C42×C5 | — | 4 | 1 | no | — |
| 172 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 173 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 174 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 175 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 176 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 177 | C22⋊Dic5 | C22⋊C4 | 1 | 2 | yes | — |
| 178 | #685 | — | 2 | 2 | no | — |
| 179 | #685 | — | 2 | 2 | no | — |
| 180 | #685 | — | 2 | 2 | no | — |
| 181 | #685 | — | 2 | 2 | no | — |
| 182 | #685 | — | 2 | 2 | no | — |
| 183 | #685 | — | 2 | 2 | no | — |
| 184 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 185 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 186 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 187 | #683 | — | 2 | 2 | no | — |
| 188 | #683 | — | 2 | 2 | no | — |
| 189 | #683 | — | 2 | 2 | no | — |
| 190 | #683 | — | 2 | 2 | no | — |
| 191 | C4×Dic5 | — | 2 | 2 | no | — |
| 192 | C4×Dic5 | — | 2 | 2 | no | — |
| 193 | C4×Dic5 | — | 2 | 1 | no | — |
| 194 | C4×Dic5 | C22⋊C4 | 1 | 2 | yes | — |
| 195 | #681 | — | 2 | 2 | no | — |
| 196 | #681 | — | 4 | 1 | no | — |
| 197 | #681 | — | 4 | 1 | no | — |
| 198 | #681 | — | 4 | 1 | no | — |
| 199 | #681 | — | 4 | 1 | no | — |
| 200 | #681 | — | 4 | 1 | no | — |
| 201 | C2×#168 | — | 2 | 2 | no | — |
| 202 | C2×#168 | — | 2 | 2 | no | — |
| 203 | C2×#168 | — | 4 | 1 | no | — |
| 204 | C2×#168 | — | 4 | 1 | no | — |
| 205 | #568 | — | 5 | 1 | no | — |
| 206 | H(3,𝔽4) | — | 5 | 2 | no | — |
| 207 | #560 | — | 10 | 1 | no | — |
| 208 | #559 | — | 10 | 1 | no | — |
| 209 | #556 | — | 10 | 1 | no | — |
| 210 | #555 | — | 10 | 1 | no | — |
| 211 | #551 | — | 5 | 2 | no | — |
| 212 | #548 | — | 10 | 1 | no | — |
| 213 | #546 | — | 10 | 1 | no | — |
| 214 | #542 | — | 10 | 2 | no | — |
| 215 | #542 | — | 10 | 1 | no | — |
| 216 | #538 | — | 10 | 2 | no | — |
| 217 | #536 | — | 5 | 1 | no | — |
| 218 | #535 | — | 5 | 1 | no | — |
| 219 | #525 | — | 10 | 1 | no | — |
| 220 | #525 | C2×D5 | 1 | 1 | yes | characteristic |
| 221 | #419 | — | 10 | 1 | no | — |
| 222 | #413 | — | 5 | 1 | no | — |
| 223 | #413 | C2×D5 | 1 | 1 | yes | characteristic |
| 224 | C2×#100 | — | 10 | 1 | no | — |
| 225 | #410 | C2×D5 | 1 | 1 | yes | characteristic |
| 226 | #407 | — | 10 | 1 | no | — |
| 227 | #356 | — | 10 | 2 | no | — |
| 228 | #352 | — | 2 | 1 | no | — |
| 229 | AΣL(1,𝔽16) | — | 2 | 1 | no | — |
| 230 | AΣL(1,𝔽16) | — | 10 | 2 | no | — |
| 231 | #344 | — | 10 | 1 | no | — |
| 232 | #344 | — | 10 | 1 | no | — |
| 233 | H(3,ℤ/4) | — | 10 | 1 | no | — |
| 234 | C23×C5 | — | 2 | 1 | no | — |
| 235 | C23×C5 | — | 4 | 1 | no | — |
| 236 | C23×C5 | — | 8 | 1 | no | — |
| 237 | C23×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 238 | C23×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 239 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 240 | C22×D5 | — | 2 | 2 | no | — |
| 241 | C22×D5 | — | 4 | 2 | no | — |
| 242 | C22×D5 | — | 8 | 2 | no | — |
| 243 | C5×Q8 | — | 4 | 1 | no | — |
| 244 | C5×D4 | — | 4 | 1 | no | — |
| 245 | C5×D4 | — | 4 | 1 | no | — |
| 246 | C5×D4 | — | 4 | 1 | no | — |
| 247 | C5×D4 | — | 8 | 1 | no | — |
| 248 | C5×D4 | — | 8 | 1 | no | — |
| 249 | C2×C4×C5 | — | 2 | 1 | no | — |
| 250 | C2×C4×C5 | — | 2 | 1 | no | — |
| 251 | C2×C4×C5 | — | 2 | 1 | no | — |
| 252 | C2×C4×C5 | — | 2 | 1 | no | — |
| 253 | C2×C4×C5 | — | 2 | 1 | no | — |
| 254 | C2×C4×C5 | — | 2 | 1 | no | — |
| 255 | C2×C4×C5 | — | 2 | 1 | no | — |
| 256 | C2×C4×C5 | — | 2 | 1 | no | — |
| 257 | C2×C4×C5 | — | 2 | 1 | no | — |
| 258 | C2×C4×C5 | — | 4 | 1 | no | — |
| 259 | C2×C4×C5 | — | 4 | 1 | no | — |
| 260 | C2×C4×C5 | — | 4 | 1 | no | — |
| 261 | C2×C4×C5 | — | 8 | 1 | no | — |
| 262 | C2×C4×C5 | — | 8 | 1 | no | — |
| 263 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 264 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 265 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 266 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 267 | C22⋊D5 | — | 8 | 2 | no | — |
| 268 | C22⋊D5 | — | 8 | 2 | no | — |
| 269 | C22⋊D5 | — | 8 | 2 | no | — |
| 270 | C22⋊D5 | — | 8 | 2 | no | — |
| 271 | C2×Dic5 | — | 2 | 2 | no | — |
| 272 | C2×Dic5 | — | 2 | 2 | no | — |
| 273 | C2×Dic5 | — | 2 | 2 | no | — |
| 274 | C2×Dic5 | — | 8 | 1 | no | — |
| 275 | D20 | — | 4 | 1 | no | — |
| 276 | D20 | — | 4 | 1 | no | — |
| 277 | D20 | — | 8 | 1 | no | — |
| 278 | C4×D5 | — | 8 | 2 | no | — |
| 279 | C4×D5 | — | 8 | 2 | no | — |
| 280 | Dic10 | — | 4 | 1 | no | — |
| 281 | Dic10 | — | 4 | 1 | no | — |
| 282 | Dic10 | — | 4 | 2 | no | — |
| 283 | Dic10 | — | 8 | 2 | no | — |
| 284 | C5×C8 | — | 8 | 1 | no | — |
| 285 | #168 | — | 4 | 2 | no | — |
| 286 | #168 | — | 8 | 1 | no | — |
| 287 | C2×#41 | — | 10 | 1 | no | — |
| 288 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 289 | C22×Q8 | — | 5 | 1 | no | — |
| 290 | C22×D4 | — | 5 | 1 | no | — |
| 291 | C23×C4 | D20 | 1 | 1 | yes | characteristic |
| 292 | #131 | — | 20 | 2 | no | — |
| 293 | C2×M16 | — | 2 | 1 | no | — |
| 294 | C2×M16 | — | 10 | 1 | no | — |
| 295 | C2×M16 | — | 10 | 1 | no | — |
| 296 | C2×M16 | — | 10 | 1 | no | — |
| 297 | C2×M16 | — | 10 | 1 | no | — |
| 298 | C4⋊Q8 | — | 5 | 2 | no | — |
| 299 | C4⋊Q8 | — | 10 | 1 | no | — |
| 300 | #127 | — | 10 | 1 | no | — |
| 301 | #126 | — | 10 | 2 | no | — |
| 302 | #126 | — | 10 | 2 | no | — |
| 303 | #126 | — | 10 | 2 | no | — |
| 304 | #124 | — | 5 | 2 | no | — |
| 305 | #124 | — | 10 | 1 | no | — |
| 306 | #124 | — | 10 | 2 | no | — |
| 307 | #124 | — | 10 | 2 | no | — |
| 308 | #124 | — | 10 | 2 | no | — |
| 309 | #124 | — | 10 | 2 | no | — |
| 310 | #124 | — | 10 | 1 | no | — |
| 311 | #124 | — | 10 | 2 | no | — |
| 312 | #123 | — | 10 | 2 | no | — |
| 313 | #123 | — | 10 | 2 | no | — |
| 314 | #123 | — | 10 | 1 | no | — |
| 315 | #123 | — | 10 | 1 | no | — |
| 316 | #123 | — | 10 | 2 | no | — |
| 317 | #123 | C4×D5 | 1 | 1 | yes | characteristic |
| 318 | #123 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 319 | C22⋊Q8 | — | 2 | 1 | no | — |
| 320 | C22⋊Q8 | — | 10 | 2 | no | — |
| 321 | C22⋊Q8 | — | 10 | 2 | no | — |
| 322 | C22⋊Q8 | — | 10 | 1 | no | — |
| 323 | C22⋊Q8 | — | 10 | 1 | no | — |
| 324 | C22⋊Q8 | — | 10 | 1 | no | — |
| 325 | #121 | — | 2 | 1 | no | — |
| 326 | #121 | — | 10 | 2 | no | — |
| 327 | #121 | — | 10 | 1 | no | — |
| 328 | #121 | — | 10 | 2 | no | — |
| 329 | #121 | — | 10 | 2 | no | — |
| 330 | #121 | — | 10 | 1 | no | — |
| 331 | #121 | — | 10 | 1 | no | — |
| 332 | #120 | — | 5 | 2 | no | — |
| 333 | #120 | — | 5 | 2 | no | — |
| 334 | #120 | — | 10 | 2 | no | — |
| 335 | #120 | — | 10 | 2 | no | — |
| 336 | #120 | C4×D5 | 1 | 1 | yes | characteristic |
| 337 | #120 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 338 | C4×Q8 | — | 10 | 1 | no | — |
| 339 | C4×Q8 | — | 10 | 2 | no | — |
| 340 | C4×D4 | — | 2 | 1 | no | — |
| 341 | C4×D4 | — | 2 | 1 | no | — |
| 342 | C4×D4 | — | 10 | 1 | no | — |
| 343 | C4×D4 | — | 10 | 2 | no | — |
| 344 | C4×D4 | — | 10 | 2 | no | — |
| 345 | C4×D4 | — | 10 | 2 | no | — |
| 346 | #117 | — | 2 | 1 | no | — |
| 347 | #117 | — | 5 | 1 | no | — |
| 348 | #117 | — | 5 | 1 | no | — |
| 349 | #117 | — | 10 | 2 | no | — |
| 350 | #117 | — | 10 | 1 | no | — |
| 351 | #117 | D20 | 1 | 1 | yes | characteristic |
| 352 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 353 | #103 | — | 20 | 2 | no | — |
| 354 | #101 | — | 2 | 1 | no | — |
| 355 | #101 | — | 10 | 1 | no | — |
| 356 | #100 | — | 2 | 1 | no | — |
| 357 | #100 | — | 10 | 1 | no | — |
| 358 | #100 | — | 20 | 2 | no | — |
| 359 | #99 | — | 2 | 1 | no | — |
| 360 | #99 | — | 2 | 1 | no | — |
| 361 | C22⋊C8 | — | 20 | 2 | no | — |
| 362 | C22×C5 | — | 2 | 1 | no | — |
| 363 | C22×C5 | — | 2 | 1 | no | — |
| 364 | C22×C5 | — | 2 | 1 | no | — |
| 365 | C22×C5 | — | 4 | 1 | no | — |
| 366 | C22×C5 | — | 4 | 1 | no | — |
| 367 | C22×C5 | — | 4 | 1 | no | — |
| 368 | C22×C5 | — | 4 | 1 | no | — |
| 369 | C22×C5 | — | 4 | 1 | no | — |
| 370 | C22×C5 | — | 4 | 2 | no | — |
| 371 | C22×C5 | — | 4 | 1 | no | — |
| 372 | C22×C5 | — | 8 | 1 | no | — |
| 373 | C22×C5 | #379 | 1 | 1 | yes | characteristic |
| 374 | C2×D5 | — | 4 | 2 | no | — |
| 375 | C2×D5 | — | 4 | 2 | no | — |
| 376 | C2×D5 | — | 4 | 2 | no | — |
| 377 | C2×D5 | — | 16 | 2 | no | — |
| 378 | C4×C5 | — | 2 | 1 | no | — |
| 379 | C4×C5 | — | 2 | 1 | no | — |
| 380 | C4×C5 | — | 2 | 1 | no | — |
| 381 | C4×C5 | — | 4 | 1 | no | — |
| 382 | C4×C5 | — | 4 | 1 | no | — |
| 383 | C4×C5 | — | 4 | 1 | no | — |
| 384 | C4×C5 | — | 16 | 1 | no | — |
| 385 | C4×C5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 386 | C4×C5 | #458 | 1 | 1 | yes | characteristic |
| 387 | Dic5 | — | 4 | 2 | no | — |
| 388 | Dic5 | — | 4 | 2 | no | — |
| 389 | Dic5 | — | 4 | 2 | no | — |
| 390 | C24 | — | 5 | 2 | no | — |
| 391 | C24 | #685 | 1 | 1 | yes | characteristic |
| 392 | #41 | — | 4 | 1 | no | — |
| 393 | #41 | — | 4 | 1 | no | — |
| 394 | #41 | — | 40 | 1 | no | — |
| 395 | #41 | — | 40 | 1 | no | — |
| 396 | C2×Q8 | — | 5 | 2 | no | — |
| 397 | C2×Q8 | — | 10 | 2 | no | — |
| 398 | C2×Q8 | — | 10 | 1 | no | — |
| 399 | C2×Q8 | — | 20 | 1 | no | — |
| 400 | C2×Q8 | — | 20 | 1 | no | — |
| 401 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 402 | C2×D4 | — | 2 | 1 | no | — |
| 403 | C2×D4 | — | 2 | 1 | no | — |
| 404 | C2×D4 | — | 10 | 2 | no | — |
| 405 | C2×D4 | — | 10 | 2 | no | — |
| 406 | C2×D4 | — | 10 | 2 | no | — |
| 407 | C2×D4 | — | 10 | 2 | no | — |
| 408 | C2×D4 | — | 10 | 1 | no | — |
| 409 | C2×D4 | — | 10 | 1 | no | — |
| 410 | C2×D4 | — | 20 | 1 | no | — |
| 411 | C2×D4 | — | 20 | 1 | no | — |
| 412 | C2×D4 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 413 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 414 | C2×D4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 415 | C22×C4 | — | 2 | 1 | no | — |
| 416 | C22×C4 | — | 2 | 1 | no | — |
| 417 | C22×C4 | — | 4 | 1 | no | — |
| 418 | C22×C4 | — | 4 | 1 | no | — |
| 419 | C22×C4 | — | 10 | 2 | no | — |
| 420 | C22×C4 | — | 10 | 2 | no | — |
| 421 | C22×C4 | — | 10 | 1 | no | — |
| 422 | C22×C4 | #685 | 1 | 1 | yes | characteristic |
| 423 | C22×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 424 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 425 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 426 | M16 | — | 4 | 1 | no | — |
| 427 | M16 | — | 4 | 1 | no | — |
| 428 | M16 | — | 10 | 2 | no | — |
| 429 | M16 | — | 20 | 1 | no | — |
| 430 | M16 | — | 20 | 1 | no | — |
| 431 | M16 | — | 20 | 1 | no | — |
| 432 | M16 | — | 20 | 1 | no | — |
| 433 | M16 | — | 20 | 1 | no | — |
| 434 | C2×C8 | — | 4 | 1 | no | — |
| 435 | C2×C8 | — | 10 | 2 | no | — |
| 436 | C2×C8 | — | 10 | 2 | no | — |
| 437 | C2×C8 | — | 20 | 1 | no | — |
| 438 | C2×C8 | — | 20 | 1 | no | — |
| 439 | C4⋊C4 | — | 2 | 1 | no | — |
| 440 | C4⋊C4 | — | 2 | 1 | no | — |
| 441 | C4⋊C4 | — | 2 | 1 | no | — |
| 442 | C4⋊C4 | — | 4 | 1 | no | — |
| 443 | C4⋊C4 | — | 10 | 2 | no | — |
| 444 | C4⋊C4 | — | 10 | 2 | no | — |
| 445 | C4⋊C4 | — | 10 | 2 | no | — |
| 446 | C4⋊C4 | — | 10 | 2 | no | — |
| 447 | C4⋊C4 | — | 10 | 1 | no | — |
| 448 | C4⋊C4 | — | 10 | 1 | no | — |
| 449 | C4⋊C4 | — | 10 | 2 | no | — |
| 450 | C22⋊C4 | — | 2 | 1 | no | — |
| 451 | C22⋊C4 | — | 2 | 1 | no | — |
| 452 | C22⋊C4 | — | 2 | 1 | no | — |
| 453 | C22⋊C4 | — | 2 | 1 | no | — |
| 454 | C22⋊C4 | — | 4 | 1 | no | — |
| 455 | C22⋊C4 | — | 5 | 2 | no | — |
| 456 | C22⋊C4 | — | 10 | 2 | no | — |
| 457 | C22⋊C4 | — | 10 | 2 | no | — |
| 458 | C22⋊C4 | — | 10 | 2 | no | — |
| 459 | C22⋊C4 | — | 10 | 2 | no | — |
| 460 | C22⋊C4 | — | 10 | 2 | no | — |
| 461 | C22⋊C4 | — | 10 | 2 | no | — |
| 462 | C22⋊C4 | — | 10 | 2 | no | — |
| 463 | C22⋊C4 | — | 10 | 2 | no | — |
| 464 | C22⋊C4 | — | 10 | 1 | no | — |
| 465 | C22⋊C4 | — | 10 | 2 | no | — |
| 466 | C22⋊C4 | — | 10 | 2 | no | — |
| 467 | C22⋊C4 | #685 | 1 | 1 | yes | characteristic |
| 468 | C22⋊C4 | #685 | 1 | 1 | yes | characteristic |
| 469 | C42 | — | 2 | 1 | no | — |
| 470 | C42 | — | 4 | 1 | no | — |
| 471 | C42 | — | 5 | 2 | no | — |
| 472 | C42 | — | 10 | 2 | no | — |
| 473 | C42 | — | 10 | 2 | no | — |
| 474 | C42 | — | 10 | 1 | no | — |
| 475 | C2×C5 | — | 2 | 1 | no | — |
| 476 | C2×C5 | — | 4 | 1 | no | — |
| 477 | C2×C5 | — | 4 | 1 | no | — |
| 478 | C2×C5 | — | 4 | 1 | no | — |
| 479 | C2×C5 | — | 8 | 1 | no | — |
| 480 | C2×C5 | #1790 | 1 | 1 | yes | characteristic |
| 481 | D5 | — | 8 | 2 | no | — |
| 482 | C23 | — | 2 | 1 | no | — |
| 483 | C23 | — | 4 | 1 | no | — |
| 484 | C23 | — | 8 | 1 | no | — |
| 485 | C23 | — | 10 | 2 | no | — |
| 486 | C23 | — | 20 | 2 | no | — |
| 487 | C23 | — | 40 | 2 | no | — |
| 488 | C23 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 489 | C23 | C2×#685 | 1 | 1 | yes | characteristic |
| 490 | C23 | #4083 | 1 | 1 | yes | characteristic |
| 491 | Q8 | — | 4 | 1 | no | — |
| 492 | Q8 | — | 20 | 2 | no | — |
| 493 | Q8 | — | 20 | 1 | no | — |
| 494 | Q8 | — | 20 | 1 | no | — |
| 495 | Q8 | — | 40 | 2 | no | — |
| 496 | D4 | — | 4 | 1 | no | — |
| 497 | D4 | — | 4 | 1 | no | — |
| 498 | D4 | — | 4 | 1 | no | — |
| 499 | D4 | — | 8 | 1 | no | — |
| 500 | D4 | — | 8 | 1 | no | — |
| 501 | D4 | — | 20 | 1 | no | — |
| 502 | D4 | — | 20 | 1 | no | — |
| 503 | D4 | — | 40 | 1 | no | — |
| 504 | D4 | — | 40 | 2 | no | — |
| 505 | D4 | — | 40 | 2 | no | — |
| 506 | D4 | — | 40 | 2 | no | — |
| 507 | D4 | — | 40 | 2 | no | — |
| 508 | C2×C4 | — | 2 | 1 | no | — |
| 509 | C2×C4 | — | 2 | 1 | no | — |
| 510 | C2×C4 | — | 2 | 1 | no | — |
| 511 | C2×C4 | — | 2 | 1 | no | — |
| 512 | C2×C4 | — | 2 | 1 | no | — |
| 513 | C2×C4 | — | 2 | 1 | no | — |
| 514 | C2×C4 | — | 2 | 1 | no | — |
| 515 | C2×C4 | — | 2 | 1 | no | — |
| 516 | C2×C4 | — | 2 | 1 | no | — |
| 517 | C2×C4 | — | 4 | 1 | no | — |
| 518 | C2×C4 | — | 4 | 1 | no | — |
| 519 | C2×C4 | — | 4 | 1 | no | — |
| 520 | C2×C4 | — | 8 | 1 | no | — |
| 521 | C2×C4 | — | 8 | 1 | no | — |
| 522 | C2×C4 | — | 10 | 2 | no | — |
| 523 | C2×C4 | — | 10 | 2 | no | — |
| 524 | C2×C4 | — | 10 | 2 | no | — |
| 525 | C2×C4 | — | 40 | 2 | no | — |
| 526 | C2×C4 | — | 40 | 2 | no | — |
| 527 | C2×C4 | — | 40 | 1 | no | — |
| 528 | C2×C4 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 529 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 530 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 531 | C2×C4 | #4083 | 1 | 1 | yes | characteristic |
| 532 | C8 | — | 8 | 1 | no | — |
| 533 | C8 | — | 20 | 2 | no | — |
| 534 | C8 | — | 40 | 1 | no | — |
| 535 | C5 | #12756 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 536 | C22 | — | 2 | 1 | no | — |
| 537 | C22 | — | 2 | 1 | no | — |
| 538 | C22 | — | 2 | 1 | no | — |
| 539 | C22 | — | 4 | 1 | no | — |
| 540 | C22 | — | 4 | 1 | no | — |
| 541 | C22 | — | 4 | 1 | no | — |
| 542 | C22 | — | 4 | 1 | no | — |
| 543 | C22 | — | 4 | 1 | no | — |
| 544 | C22 | — | 4 | 2 | no | — |
| 545 | C22 | — | 4 | 1 | no | — |
| 546 | C22 | — | 8 | 1 | no | — |
| 547 | C22 | — | 20 | 2 | no | — |
| 548 | C22 | — | 20 | 2 | no | — |
| 549 | C22 | — | 20 | 2 | no | — |
| 550 | C22 | — | 80 | 2 | no | — |
| 551 | C22 | #65244 | 1 | 1 | yes | characteristic |
| 552 | C4 | — | 2 | 1 | no | — |
| 553 | C4 | — | 2 | 1 | no | — |
| 554 | C4 | — | 2 | 1 | no | — |
| 555 | C4 | — | 4 | 1 | no | — |
| 556 | C4 | — | 4 | 1 | no | — |
| 557 | C4 | — | 4 | 1 | no | — |
| 558 | C4 | — | 16 | 1 | no | — |
| 559 | C4 | — | 20 | 2 | no | — |
| 560 | C4 | — | 20 | 2 | no | — |
| 561 | C4 | — | 20 | 2 | no | — |
| 562 | C4 | #65030 | 1 | 1 | yes | characteristic |
| 563 | C4 | #65031 | 1 | 1 | yes | characteristic |
| 564 | C2 | — | 2 | 1 | no | — |
| 565 | C2 | — | 4 | 1 | no | — |
| 566 | C2 | — | 4 | 1 | no | — |
| 567 | C2 | — | 4 | 1 | no | — |
| 568 | C2 | — | 8 | 1 | no | — |
| 569 | C2 | — | 40 | 2 | no | — |
| 570 | C2 | #10600826 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C5×#2120 | C2 | semidirect |
| 3. #10602507 | C2 | semidirect |
| 4. #10600943 | C2 | semidirect |
| 5. #10600930 | C2 | semidirect |
| 6. #10600850 | C2 | semidirect |
| 7. #10600839 | C2 | semidirect |
| 14. #65993 | C4 | semidirect |
| 18. #65928 | C4 | semidirect |
| 116. #2120 | D5 | semidirect |
| 535. C5 | #12756 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617956 | 2 |
| C5×#2120 | 2 |
| #10602507 | 2 |
| #10600943 | 2 |
| #10600930 | 2 |
| #10600850 | 2 |
| #10600839 | 2 |
| #12756 | 5 |