Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1084 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 1084 conjugacy classes of subgroups — too many to draw. Only its 137 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 | #10618945 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10612031 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10612029 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C5×#2205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10602735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10601788 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10601786 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10599966 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10599965 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10599962 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10599960 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #66287 | C22 | 1 | 1 | yes | characteristic |
| 13 | C5×Q82 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #66111 | — | 2 | 1 | no | — |
| 15 | D5×#137 | — | 2 | 2 | no | — |
| 16 | #66069 | — | 2 | 1 | no | — |
| 17 | #66069 | C22 | 1 | 2 | yes | complemented |
| 18 | #66067 | — | 2 | 2 | no | — |
| 19 | #66061 | — | 2 | 2 | no | — |
| 20 | #66059 | C22 | 1 | 1 | yes | characteristic |
| 21 | #66058 | — | 2 | 1 | no | — |
| 22 | #66058 | C22 | 1 | 2 | yes | — |
| 23 | #66056 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #65919 | — | 2 | 1 | no | — |
| 25 | #65916 | — | 2 | 2 | no | — |
| 26 | #65912 | — | 2 | 1 | no | — |
| 27 | #65902 | — | 2 | 2 | no | — |
| 28 | C5×#456 | C22 | 1 | 2 | yes | — |
| 29 | C5×#456 | C22 | 1 | 1 | yes | characteristic |
| 30 | #65535 | C22 | 1 | 2 | yes | — |
| 31 | #65534 | C22 | 1 | 1 | yes | characteristic |
| 32 | #65491 | — | 2 | 1 | no | — |
| 33 | #65491 | — | 2 | 2 | no | — |
| 34 | #65384 | C22 | 1 | 2 | yes | — |
| 35 | #65384 | C22 | 1 | 1 | yes | characteristic |
| 36 | #65114 | — | 2 | 2 | no | — |
| 37 | #65111 | — | 2 | 1 | no | — |
| 38 | #65110 | — | 2 | 2 | no | — |
| 39 | D5×#104 | — | 2 | 1 | no | — |
| 40 | #65042 | C22 | 1 | 1 | yes | characteristic |
| 41 | #65041 | C22 | 1 | 2 | yes | — |
| 42 | #65040 | C22 | 1 | 2 | yes | — |
| 43 | #65040 | C22 | 1 | 1 | yes | characteristic |
| 44 | C5×#356 | C22 | 1 | 2 | yes | complemented |
| 45 | C5×#356 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #64768 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #64768 | C22 | 1 | 2 | yes | complemented |
| 48 | #64698 | C22 | 1 | 2 | yes | complemented |
| 49 | #64698 | C22 | 1 | 2 | yes | complemented |
| 50 | #64697 | C22 | 1 | 2 | yes | complemented |
| 51 | #33571 | — | 5 | 1 | no | maximal, Sylow |
| 52 | C5×2−1+4 | C23 | 1 | 1 | yes | characteristic |
| 53 | #4149 | — | 2 | 1 | no | — |
| 54 | #4149 | — | 2 | 2 | no | — |
| 55 | #4149 | — | 4 | 1 | no | — |
| 56 | D5×#41 | — | 2 | 2 | no | — |
| 57 | D5×#41 | — | 2 | 1 | no | — |
| 58 | D5×#41 | — | 4 | 1 | no | — |
| 59 | #4147 | — | 4 | 1 | no | — |
| 60 | #4147 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×#713 | — | 4 | 1 | no | — |
| 62 | C2×#713 | D4 | 1 | 1 | yes | characteristic |
| 63 | C2×#713 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 65 | C2×Q8×D5 | D4 | 1 | 2 | yes | — |
| 66 | C5×#137 | — | 2 | 2 | no | — |
| 67 | C5×#137 | — | 2 | 1 | no | — |
| 68 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 69 | C5×C4⋊Q8 | — | 2 | 2 | no | — |
| 70 | C5×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 71 | C5×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 72 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 73 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 74 | #4097 | — | 2 | 2 | no | — |
| 75 | #4095 | — | 2 | 1 | no | — |
| 76 | #4093 | — | 2 | 1 | no | — |
| 77 | #4093 | — | 2 | 2 | no | — |
| 78 | #4093 | D4 | 1 | 2 | yes | — |
| 79 | #4093 | D4 | 1 | 1 | yes | characteristic |
| 80 | #4093 | C23 | 1 | 1 | yes | characteristic |
| 81 | #4092 | — | 2 | 2 | no | — |
| 82 | #4092 | — | 2 | 1 | no | — |
| 83 | #4092 | — | 2 | 2 | no | — |
| 84 | #4090 | — | 2 | 1 | no | — |
| 85 | #4090 | — | 2 | 1 | no | — |
| 86 | #4090 | C23 | 1 | 2 | yes | — |
| 87 | #4088 | — | 2 | 2 | no | — |
| 88 | #4088 | — | 2 | 1 | no | — |
| 89 | #4065 | — | 4 | 1 | no | — |
| 90 | #4064 | — | 4 | 1 | no | — |
| 91 | #4064 | — | 4 | 2 | no | — |
| 92 | D5×Q16 | — | 4 | 2 | no | — |
| 93 | #4062 | — | 4 | 1 | no | — |
| 94 | #4061 | — | 4 | 2 | no | — |
| 95 | #4060 | — | 4 | 1 | no | — |
| 96 | D5×SD16 | — | 4 | 2 | no | — |
| 97 | #4055 | — | 2 | 2 | no | — |
| 98 | #4054 | — | 2 | 1 | no | — |
| 99 | D5×M16 | — | 2 | 2 | no | — |
| 100 | D5×M16 | — | 2 | 1 | no | — |
| 101 | #4044 | — | 2 | 2 | no | — |
| 102 | #4044 | — | 2 | 2 | no | — |
| 103 | #4043 | — | 2 | 1 | no | — |
| 104 | #4042 | — | 2 | 2 | no | — |
| 105 | #4042 | — | 2 | 2 | no | — |
| 106 | #4042 | — | 2 | 2 | no | — |
| 107 | #4042 | — | 2 | 2 | no | — |
| 108 | #4042 | — | 2 | 2 | no | — |
| 109 | #4041 | — | 2 | 2 | no | — |
| 110 | #4040 | — | 2 | 2 | no | — |
| 111 | #4040 | — | 2 | 2 | no | — |
| 112 | #4040 | — | 2 | 2 | no | — |
| 113 | #4040 | — | 2 | 2 | no | — |
| 114 | #4039 | — | 2 | 2 | no | — |
| 115 | #4039 | — | 2 | 2 | no | — |
| 116 | #4035 | — | 2 | 2 | no | — |
| 117 | #4034 | — | 2 | 1 | no | — |
| 118 | #4034 | — | 2 | 2 | no | — |
| 119 | #4033 | — | 2 | 2 | no | — |
| 120 | #4022 | — | 2 | 2 | no | — |
| 121 | #4022 | — | 2 | 2 | no | — |
| 122 | #4021 | — | 2 | 1 | no | — |
| 123 | #4021 | — | 2 | 2 | no | — |
| 124 | #4021 | D4 | 1 | 2 | yes | — |
| 125 | #4020 | D4 | 1 | 1 | yes | characteristic |
| 126 | C4×D20 | — | 2 | 2 | no | — |
| 127 | #4018 | — | 2 | 1 | no | — |
| 128 | #4018 | — | 2 | 2 | no | — |
| 129 | #4018 | D4 | 1 | 2 | yes | — |
| 130 | C42×D5 | D4 | 1 | 1 | yes | characteristic |
| 131 | C4×Dic10 | — | 2 | 2 | no | — |
| 132 | C4×Dic10 | — | 2 | 1 | no | — |
| 133 | C5×#104 | — | 2 | 1 | no | — |
| 134 | C5×#104 | — | 2 | 2 | no | — |
| 135 | C5×#101 | C23 | 1 | 2 | yes | — |
| 136 | C5×#101 | C23 | 1 | 1 | yes | characteristic |
| 137 | #3969 | — | 2 | 1 | no | — |
| 138 | #3969 | — | 2 | 2 | no | — |
| 139 | #3968 | C23 | 1 | 2 | yes | — |
| 140 | #3968 | C23 | 1 | 1 | yes | characteristic |
| 141 | #3957 | — | 2 | 2 | no | — |
| 142 | #3957 | — | 2 | 1 | no | — |
| 143 | #3955 | — | 2 | 1 | no | — |
| 144 | #3955 | — | 2 | 2 | no | — |
| 145 | #3937 | — | 2 | 1 | no | — |
| 146 | #3937 | — | 2 | 2 | no | — |
| 147 | #3550 | — | 5 | 1 | no | — |
| 148 | #3022 | — | 5 | 2 | no | — |
| 149 | #3018 | — | 5 | 1 | no | — |
| 150 | #2205 | — | 5 | 1 | no | — |
| 151 | #2205 | — | 5 | 1 | no | — |
| 152 | #2205 | — | 5 | 1 | no | — |
| 153 | #2205 | D5 | 1 | 1 | yes | characteristic, complemented |
| 154 | #2203 | — | 5 | 2 | no | — |
| 155 | #2203 | — | 5 | 2 | no | — |
| 156 | #2135 | — | 5 | 2 | no | — |
| 157 | #2132 | — | 5 | 1 | no | — |
| 158 | C5×#41 | — | 2 | 2 | no | — |
| 159 | C5×#41 | — | 2 | 1 | no | — |
| 160 | C5×#41 | — | 4 | 1 | no | — |
| 161 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 162 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 163 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 164 | C2×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 165 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 167 | #713 | — | 2 | 2 | no | — |
| 168 | #713 | — | 2 | 1 | no | — |
| 169 | #713 | — | 4 | 1 | no | — |
| 170 | #713 | — | 4 | 1 | no | — |
| 171 | #713 | — | 4 | 1 | no | — |
| 172 | #713 | — | 4 | 1 | no | — |
| 173 | #713 | — | 4 | 1 | no | — |
| 174 | #713 | — | 4 | 1 | no | — |
| 175 | #713 | — | 4 | 2 | no | — |
| 176 | Q8×D5 | — | 2 | 2 | no | — |
| 177 | Q8×D5 | — | 2 | 1 | no | — |
| 178 | Q8×D5 | — | 4 | 1 | no | — |
| 179 | Q8×D5 | — | 4 | 2 | no | — |
| 180 | Q8×D5 | — | 4 | 2 | no | — |
| 181 | Q8×D5 | — | 8 | 1 | no | — |
| 182 | Q8×D5 | — | 8 | 1 | no | — |
| 183 | #711 | — | 2 | 2 | no | — |
| 184 | #711 | — | 2 | 1 | no | — |
| 185 | #711 | — | 4 | 1 | no | — |
| 186 | D4×D5 | — | 2 | 2 | no | — |
| 187 | D4×D5 | — | 2 | 1 | no | — |
| 188 | D4×D5 | — | 4 | 1 | no | — |
| 189 | D4×D5 | — | 4 | 2 | no | — |
| 190 | D4×D5 | — | 4 | 2 | no | — |
| 191 | D4×D5 | — | 4 | 1 | no | — |
| 192 | #709 | — | 2 | 1 | no | — |
| 193 | #709 | — | 2 | 2 | no | — |
| 194 | #709 | — | 4 | 1 | no | — |
| 195 | #709 | — | 4 | 2 | no | — |
| 196 | #709 | — | 4 | 2 | no | — |
| 197 | #709 | — | 4 | 1 | no | — |
| 198 | C2×D20 | — | 2 | 2 | no | — |
| 199 | C2×D20 | — | 2 | 1 | no | — |
| 200 | C2×D20 | — | 4 | 2 | no | — |
| 201 | C2×D20 | — | 4 | 1 | no | — |
| 202 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 205 | C2×C4×D5 | — | 2 | 1 | no | — |
| 206 | C2×C4×D5 | — | 2 | 1 | no | — |
| 207 | C2×C4×D5 | — | 2 | 2 | no | — |
| 208 | C2×C4×D5 | — | 2 | 2 | no | — |
| 209 | C2×C4×D5 | — | 4 | 1 | no | — |
| 210 | C2×C4×D5 | — | 4 | 2 | no | — |
| 211 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 212 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C2×Dic10 | — | 2 | 1 | no | — |
| 214 | C2×Dic10 | — | 2 | 2 | no | — |
| 215 | C2×Dic10 | — | 2 | 1 | no | — |
| 216 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 217 | C5×Q16 | — | 4 | 2 | no | — |
| 218 | C5×Q16 | — | 4 | 1 | no | — |
| 219 | C5×SD16 | — | 4 | 2 | no | — |
| 220 | C5×SD16 | — | 4 | 1 | no | — |
| 221 | C5×M16 | — | 2 | 1 | no | — |
| 222 | C5×M16 | — | 2 | 2 | no | — |
| 223 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 224 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 225 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 226 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 227 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 228 | C42×C5 | — | 2 | 2 | no | — |
| 229 | C42×C5 | — | 2 | 1 | no | — |
| 230 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 232 | #689 | — | 4 | 2 | no | — |
| 233 | #689 | — | 4 | 1 | no | — |
| 234 | #689 | — | 4 | 2 | no | — |
| 235 | #688 | — | 4 | 2 | no | — |
| 236 | #688 | — | 4 | 1 | no | — |
| 237 | #688 | — | 4 | 1 | no | — |
| 238 | #687 | — | 4 | 2 | no | — |
| 239 | #686 | — | 4 | 1 | no | — |
| 240 | #685 | — | 2 | 2 | no | — |
| 241 | #685 | — | 2 | 2 | no | — |
| 242 | #685 | — | 2 | 2 | no | — |
| 243 | #685 | — | 2 | 2 | no | — |
| 244 | #685 | — | 2 | 2 | no | — |
| 245 | #685 | — | 2 | 2 | no | — |
| 246 | #685 | — | 2 | 2 | no | — |
| 247 | #685 | — | 2 | 2 | no | — |
| 248 | #685 | — | 2 | 2 | no | — |
| 249 | #685 | — | 2 | 2 | no | — |
| 250 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 251 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 252 | #683 | — | 2 | 2 | no | — |
| 253 | #683 | — | 2 | 2 | no | — |
| 254 | #683 | — | 2 | 2 | no | — |
| 255 | #683 | — | 2 | 2 | no | — |
| 256 | #683 | — | 2 | 2 | no | — |
| 257 | #683 | — | 2 | 2 | no | — |
| 258 | #683 | — | 2 | 2 | no | — |
| 259 | C4×Dic5 | — | 2 | 2 | no | — |
| 260 | C4×Dic5 | — | 2 | 1 | no | — |
| 261 | C4×Dic5 | — | 2 | 1 | no | — |
| 262 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C4×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 264 | #681 | — | 2 | 2 | no | — |
| 265 | #681 | — | 2 | 1 | no | — |
| 266 | Dic20 | — | 4 | 2 | no | — |
| 267 | D40 | — | 4 | 1 | no | — |
| 268 | #677 | — | 4 | 1 | no | — |
| 269 | #677 | — | 4 | 2 | no | — |
| 270 | #676 | — | 4 | 1 | no | — |
| 271 | #676 | — | 4 | 2 | no | — |
| 272 | C8×D5 | — | 4 | 2 | no | — |
| 273 | C8×D5 | — | 4 | 1 | no | — |
| 274 | #585 | — | 5 | 1 | no | — |
| 275 | #575 | — | 10 | 1 | no | — |
| 276 | C2×#137 | — | 10 | 2 | no | — |
| 277 | #563 | — | 5 | 2 | no | — |
| 278 | #563 | — | 10 | 1 | no | — |
| 279 | #559 | — | 10 | 1 | no | — |
| 280 | Q82 | — | 5 | 1 | no | — |
| 281 | Q82 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 282 | #556 | — | 10 | 2 | no | — |
| 283 | D4×Q8 | — | 10 | 2 | no | — |
| 284 | #542 | — | 10 | 2 | no | — |
| 285 | #542 | — | 10 | 2 | no | — |
| 286 | #536 | — | 5 | 2 | no | — |
| 287 | #536 | — | 10 | 1 | no | — |
| 288 | #533 | — | 10 | 1 | no | — |
| 289 | #532 | — | 5 | 1 | no | — |
| 290 | #456 | — | 5 | 2 | no | — |
| 291 | #456 | — | 5 | 2 | no | — |
| 292 | #456 | — | 5 | 1 | no | — |
| 293 | #456 | — | 5 | 2 | no | — |
| 294 | #456 | C2×D5 | 1 | 2 | yes | — |
| 295 | #456 | C2×D5 | 1 | 1 | yes | characteristic |
| 296 | #455 | — | 10 | 2 | no | — |
| 297 | #455 | — | 10 | 1 | no | — |
| 298 | #455 | — | 10 | 2 | no | — |
| 299 | #454 | — | 5 | 1 | no | — |
| 300 | #454 | — | 5 | 1 | no | — |
| 301 | #453 | — | 10 | 1 | no | — |
| 302 | #421 | — | 10 | 2 | no | — |
| 303 | C2×#104 | — | 10 | 1 | no | — |
| 304 | #413 | — | 5 | 2 | no | — |
| 305 | #413 | — | 5 | 1 | no | — |
| 306 | #356 | — | 5 | 1 | no | — |
| 307 | #356 | — | 5 | 2 | no | — |
| 308 | #356 | — | 5 | 2 | no | — |
| 309 | #356 | — | 5 | 2 | no | — |
| 310 | #356 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 311 | #356 | C2×D5 | 1 | 2 | yes | complemented |
| 312 | #355 | — | 5 | 2 | no | — |
| 313 | C22×D5 | — | 2 | 1 | no | — |
| 314 | C22×D5 | — | 4 | 2 | no | — |
| 315 | C22×D5 | — | 4 | 1 | no | — |
| 316 | C22×D5 | #120 | 1 | 2 | yes | — |
| 317 | C22×D5 | #120 | 1 | 1 | yes | characteristic |
| 318 | C5×Q8 | — | 2 | 1 | no | — |
| 319 | C5×Q8 | — | 2 | 2 | no | — |
| 320 | C5×Q8 | — | 4 | 1 | no | — |
| 321 | C5×Q8 | — | 4 | 2 | no | — |
| 322 | C5×Q8 | — | 4 | 1 | no | — |
| 323 | C5×Q8 | — | 4 | 2 | no | — |
| 324 | C5×Q8 | — | 8 | 1 | no | — |
| 325 | C5×D4 | — | 2 | 1 | no | — |
| 326 | C5×D4 | — | 2 | 2 | no | — |
| 327 | C5×D4 | — | 4 | 1 | no | — |
| 328 | C2×C4×C5 | — | 2 | 1 | no | — |
| 329 | C2×C4×C5 | — | 2 | 1 | no | — |
| 330 | C2×C4×C5 | — | 2 | 2 | no | — |
| 331 | C2×C4×C5 | — | 2 | 2 | no | — |
| 332 | C2×C4×C5 | — | 4 | 2 | no | — |
| 333 | C2×C4×C5 | — | 4 | 1 | no | — |
| 334 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 335 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 336 | C22⋊D5 | — | 4 | 2 | no | — |
| 337 | C22⋊D5 | — | 4 | 1 | no | — |
| 338 | C22⋊D5 | — | 4 | 1 | no | — |
| 339 | C22⋊D5 | — | 4 | 1 | no | — |
| 340 | C2×Dic5 | — | 2 | 2 | no | — |
| 341 | C2×Dic5 | — | 2 | 1 | no | — |
| 342 | C2×Dic5 | — | 2 | 2 | no | — |
| 343 | C2×Dic5 | — | 4 | 1 | no | — |
| 344 | C2×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 345 | D20 | — | 2 | 2 | no | — |
| 346 | D20 | — | 2 | 1 | no | — |
| 347 | D20 | — | 4 | 2 | no | — |
| 348 | D20 | — | 4 | 1 | no | — |
| 349 | D20 | — | 4 | 1 | no | — |
| 350 | D20 | — | 4 | 4 | no | — |
| 351 | D20 | — | 4 | 2 | no | — |
| 352 | D20 | — | 4 | 1 | no | — |
| 353 | D20 | — | 8 | 1 | no | — |
| 354 | C4×D5 | — | 2 | 1 | no | — |
| 355 | C4×D5 | — | 2 | 2 | no | — |
| 356 | C4×D5 | — | 2 | 2 | no | — |
| 357 | C4×D5 | — | 2 | 1 | no | — |
| 358 | C4×D5 | — | 4 | 2 | no | — |
| 359 | C4×D5 | — | 4 | 2 | no | — |
| 360 | C4×D5 | — | 4 | 1 | no | — |
| 361 | C4×D5 | — | 4 | 2 | no | — |
| 362 | C4×D5 | — | 4 | 1 | no | — |
| 363 | C4×D5 | — | 4 | 1 | no | — |
| 364 | C4×D5 | — | 4 | 1 | no | — |
| 365 | C4×D5 | — | 4 | 1 | no | — |
| 366 | C4×D5 | — | 8 | 2 | no | — |
| 367 | C4×D5 | — | 8 | 2 | no | — |
| 368 | Dic10 | — | 2 | 1 | no | — |
| 369 | Dic10 | — | 2 | 2 | no | — |
| 370 | Dic10 | — | 4 | 2 | no | — |
| 371 | Dic10 | — | 4 | 2 | no | — |
| 372 | Dic10 | — | 4 | 2 | no | — |
| 373 | Dic10 | — | 4 | 1 | no | — |
| 374 | Dic10 | — | 4 | 2 | no | — |
| 375 | Dic10 | — | 8 | 1 | no | — |
| 376 | C5×C8 | — | 4 | 1 | no | — |
| 377 | C5×C8 | — | 4 | 2 | no | — |
| 378 | #168 | — | 4 | 1 | no | — |
| 379 | #168 | — | 4 | 2 | no | — |
| 380 | 2−1+4 | — | 5 | 1 | no | — |
| 381 | 2−1+4 | — | 20 | 1 | no | — |
| 382 | 2−1+4 | C22×D5 | 1 | 1 | yes | characteristic |
| 383 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 384 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 385 | H(5,𝔽2) | — | 20 | 1 | no | — |
| 386 | C2×#41 | — | 5 | 1 | no | — |
| 387 | C2×#41 | — | 5 | 1 | no | — |
| 388 | C2×#41 | — | 10 | 2 | no | — |
| 389 | C2×#41 | — | 10 | 1 | no | — |
| 390 | C2×#41 | — | 20 | 1 | no | — |
| 391 | C2×#41 | — | 20 | 1 | no | — |
| 392 | C22×Q8 | — | 5 | 2 | no | — |
| 393 | C22×Q8 | — | 10 | 1 | no | — |
| 394 | #137 | — | 2 | 2 | no | — |
| 395 | #137 | — | 2 | 1 | no | — |
| 396 | #137 | — | 10 | 2 | no | — |
| 397 | #137 | — | 10 | 2 | no | — |
| 398 | #137 | — | 10 | 2 | no | — |
| 399 | #137 | — | 10 | 1 | no | — |
| 400 | #137 | — | 20 | 2 | no | — |
| 401 | #137 | — | 20 | 1 | no | — |
| 402 | #137 | — | 20 | 2 | no | — |
| 403 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 404 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 405 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 406 | #135 | — | 20 | 1 | no | — |
| 407 | #135 | — | 20 | 1 | no | — |
| 408 | C2×Q16 | — | 20 | 2 | no | — |
| 409 | C2×SD16 | — | 20 | 2 | no | — |
| 410 | C2×M16 | — | 10 | 2 | no | — |
| 411 | C2×M16 | — | 10 | 1 | no | — |
| 412 | C4⋊Q8 | — | 2 | 1 | no | — |
| 413 | C4⋊Q8 | — | 2 | 2 | no | — |
| 414 | C4⋊Q8 | — | 5 | 2 | no | — |
| 415 | C4⋊Q8 | — | 10 | 2 | no | — |
| 416 | C4⋊Q8 | — | 10 | 1 | no | — |
| 417 | C4⋊Q8 | — | 10 | 1 | no | — |
| 418 | C4⋊Q8 | — | 10 | 1 | no | — |
| 419 | C4⋊Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 420 | C4⋊Q8 | C22×D5 | 1 | 2 | yes | — |
| 421 | #127 | — | 5 | 1 | no | — |
| 422 | #126 | — | 10 | 2 | no | — |
| 423 | #126 | — | 10 | 2 | no | — |
| 424 | #126 | — | 10 | 2 | no | — |
| 425 | #126 | — | 10 | 2 | no | — |
| 426 | #125 | — | 10 | 2 | no | — |
| 427 | #124 | — | 5 | 1 | no | — |
| 428 | #124 | — | 5 | 2 | no | — |
| 429 | #124 | — | 5 | 1 | no | — |
| 430 | #124 | — | 5 | 2 | no | — |
| 431 | #124 | — | 10 | 1 | no | — |
| 432 | #124 | — | 10 | 2 | no | — |
| 433 | #124 | — | 10 | 1 | no | — |
| 434 | #124 | — | 10 | 2 | no | — |
| 435 | #123 | — | 10 | 2 | no | — |
| 436 | #123 | — | 10 | 2 | no | — |
| 437 | #123 | — | 10 | 2 | no | — |
| 438 | #123 | — | 10 | 2 | no | — |
| 439 | C22⋊Q8 | — | 10 | 2 | no | — |
| 440 | C22⋊Q8 | — | 10 | 2 | no | — |
| 441 | C22⋊Q8 | — | 10 | 2 | no | — |
| 442 | C22⋊Q8 | — | 10 | 1 | no | — |
| 443 | C22⋊Q8 | — | 10 | 2 | no | — |
| 444 | C22⋊Q8 | — | 10 | 2 | no | — |
| 445 | C22⋊Q8 | — | 10 | 1 | no | — |
| 446 | C22⋊Q8 | — | 10 | 2 | no | — |
| 447 | C22⋊Q8 | — | 10 | 2 | no | — |
| 448 | #121 | — | 10 | 2 | no | — |
| 449 | C4×Q8 | — | 2 | 1 | no | — |
| 450 | C4×Q8 | — | 2 | 2 | no | — |
| 451 | C4×Q8 | — | 10 | 2 | no | — |
| 452 | C4×Q8 | — | 10 | 2 | no | — |
| 453 | C4×Q8 | — | 10 | 1 | no | — |
| 454 | C4×D4 | — | 10 | 2 | no | — |
| 455 | C4×D4 | — | 10 | 2 | no | — |
| 456 | C4×D4 | — | 10 | 2 | no | — |
| 457 | #117 | — | 5 | 2 | no | — |
| 458 | #117 | — | 10 | 2 | no | — |
| 459 | #117 | — | 10 | 1 | no | — |
| 460 | C2×C42 | — | 5 | 1 | no | — |
| 461 | #104 | — | 2 | 1 | no | — |
| 462 | #104 | — | 2 | 2 | no | — |
| 463 | #104 | — | 10 | 1 | no | — |
| 464 | #104 | — | 10 | 2 | no | — |
| 465 | #104 | — | 10 | 1 | no | — |
| 466 | #104 | — | 10 | 2 | no | — |
| 467 | #104 | — | 10 | 1 | no | — |
| 468 | #104 | — | 10 | 2 | no | — |
| 469 | #101 | — | 5 | 2 | no | — |
| 470 | #101 | — | 5 | 1 | no | — |
| 471 | #101 | C22×D5 | 1 | 2 | yes | — |
| 472 | #101 | C22×D5 | 1 | 1 | yes | characteristic |
| 473 | #100 | — | 10 | 1 | no | — |
| 474 | #100 | — | 10 | 2 | no | — |
| 475 | C22×C5 | — | 4 | 1 | no | — |
| 476 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 477 | C2×D5 | — | 2 | 2 | no | — |
| 478 | C2×D5 | — | 2 | 1 | no | — |
| 479 | C2×D5 | — | 4 | 1 | no | — |
| 480 | C2×D5 | — | 4 | 2 | no | — |
| 481 | C2×D5 | — | 4 | 2 | no | — |
| 482 | C2×D5 | — | 4 | 1 | no | — |
| 483 | C2×D5 | — | 4 | 1 | no | — |
| 484 | C2×D5 | — | 16 | 2 | no | — |
| 485 | C2×D5 | — | 16 | 1 | no | — |
| 486 | C4×C5 | — | 2 | 2 | no | — |
| 487 | C4×C5 | — | 2 | 2 | no | — |
| 488 | C4×C5 | — | 2 | 1 | no | — |
| 489 | C4×C5 | — | 4 | 2 | no | — |
| 490 | C4×C5 | — | 4 | 2 | no | — |
| 491 | C4×C5 | — | 4 | 1 | no | — |
| 492 | C4×C5 | — | 4 | 1 | no | — |
| 493 | Dic5 | — | 4 | 2 | no | — |
| 494 | Dic5 | — | 4 | 1 | no | — |
| 495 | Dic5 | — | 4 | 1 | no | — |
| 496 | Dic5 | — | 4 | 2 | no | — |
| 497 | Dic5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 498 | Dic5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 499 | #41 | — | 2 | 1 | no | — |
| 500 | #41 | — | 2 | 2 | no | — |
| 501 | #41 | — | 4 | 1 | no | — |
| 502 | #41 | — | 10 | 1 | no | — |
| 503 | #41 | — | 10 | 2 | no | — |
| 504 | #41 | — | 10 | 1 | no | — |
| 505 | #41 | — | 10 | 2 | no | — |
| 506 | #41 | — | 10 | 1 | no | — |
| 507 | #41 | — | 10 | 2 | no | — |
| 508 | #41 | — | 20 | 2 | no | — |
| 509 | #41 | — | 20 | 1 | no | — |
| 510 | #41 | — | 20 | 1 | no | — |
| 511 | #41 | — | 20 | 2 | no | — |
| 512 | #41 | — | 20 | 1 | no | — |
| 513 | #41 | — | 20 | 1 | no | — |
| 514 | #41 | — | 20 | 1 | no | — |
| 515 | #41 | — | 20 | 1 | no | — |
| 516 | #41 | — | 20 | 1 | no | — |
| 517 | #41 | — | 20 | 1 | no | — |
| 518 | #41 | — | 20 | 1 | no | — |
| 519 | #41 | — | 20 | 2 | no | — |
| 520 | C2×Q8 | — | 2 | 1 | no | — |
| 521 | C2×Q8 | — | 2 | 1 | no | — |
| 522 | C2×Q8 | — | 4 | 1 | no | — |
| 523 | C2×Q8 | — | 5 | 2 | no | — |
| 524 | C2×Q8 | — | 10 | 2 | no | — |
| 525 | C2×Q8 | — | 10 | 1 | no | — |
| 526 | C2×Q8 | — | 10 | 1 | no | — |
| 527 | C2×Q8 | — | 10 | 2 | no | — |
| 528 | C2×Q8 | — | 10 | 1 | no | — |
| 529 | C2×Q8 | — | 20 | 2 | no | — |
| 530 | C2×Q8 | — | 20 | 2 | no | — |
| 531 | C2×Q8 | — | 20 | 1 | no | — |
| 532 | C2×Q8 | — | 40 | 1 | no | — |
| 533 | C2×Q8 | — | 40 | 1 | no | — |
| 534 | C2×Q8 | D4×D5 | 1 | 2 | yes | — |
| 535 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 536 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 537 | C2×D4 | — | 5 | 2 | no | — |
| 538 | C2×D4 | — | 5 | 1 | no | — |
| 539 | C2×D4 | — | 5 | 1 | no | — |
| 540 | C2×D4 | — | 10 | 2 | no | — |
| 541 | C2×D4 | — | 10 | 1 | no | — |
| 542 | C2×D4 | — | 10 | 2 | no | — |
| 543 | C2×D4 | — | 10 | 1 | no | — |
| 544 | C2×D4 | — | 20 | 1 | no | — |
| 545 | C2×D4 | — | 20 | 2 | no | — |
| 546 | C2×D4 | — | 20 | 1 | no | — |
| 547 | C2×D4 | — | 20 | 2 | no | — |
| 548 | C2×D4 | — | 20 | 2 | no | — |
| 549 | C2×D4 | — | 20 | 1 | no | — |
| 550 | C22×C4 | — | 5 | 1 | no | — |
| 551 | C22×C4 | — | 5 | 2 | no | — |
| 552 | C22×C4 | — | 10 | 1 | no | — |
| 553 | C22×C4 | — | 10 | 1 | no | — |
| 554 | C22×C4 | — | 10 | 2 | no | — |
| 555 | C22×C4 | — | 10 | 2 | no | — |
| 556 | C22×C4 | — | 20 | 1 | no | — |
| 557 | C22×C4 | — | 20 | 2 | no | — |
| 558 | Q16 | — | 4 | 2 | no | — |
| 559 | Q16 | — | 4 | 1 | no | — |
| 560 | Q16 | — | 20 | 2 | no | — |
| 561 | Q16 | — | 20 | 2 | no | — |
| 562 | Q16 | — | 20 | 2 | no | — |
| 563 | Q16 | — | 20 | 1 | no | — |
| 564 | SD16 | — | 4 | 2 | no | — |
| 565 | SD16 | — | 4 | 1 | no | — |
| 566 | SD16 | — | 20 | 2 | no | — |
| 567 | SD16 | — | 20 | 1 | no | — |
| 568 | SD16 | — | 20 | 2 | no | — |
| 569 | SD16 | — | 20 | 2 | no | — |
| 570 | SD16 | — | 20 | 1 | no | — |
| 571 | SD16 | — | 20 | 1 | no | — |
| 572 | D8 | — | 20 | 1 | no | — |
| 573 | D8 | — | 20 | 1 | no | — |
| 574 | M16 | — | 2 | 1 | no | — |
| 575 | M16 | — | 2 | 2 | no | — |
| 576 | M16 | — | 10 | 1 | no | — |
| 577 | M16 | — | 10 | 2 | no | — |
| 578 | M16 | — | 20 | 1 | no | — |
| 579 | M16 | — | 20 | 2 | no | — |
| 580 | C2×C8 | — | 20 | 2 | no | — |
| 581 | C2×C8 | — | 20 | 1 | no | — |
| 582 | C4⋊C4 | — | 2 | 1 | no | — |
| 583 | C4⋊C4 | — | 2 | 2 | no | — |
| 584 | C4⋊C4 | — | 2 | 2 | no | — |
| 585 | C4⋊C4 | — | 2 | 2 | no | — |
| 586 | C4⋊C4 | — | 2 | 2 | no | — |
| 587 | C4⋊C4 | — | 10 | 2 | no | — |
| 588 | C4⋊C4 | — | 10 | 2 | no | — |
| 589 | C4⋊C4 | — | 10 | 2 | no | — |
| 590 | C4⋊C4 | — | 10 | 1 | no | — |
| 591 | C4⋊C4 | — | 10 | 2 | no | — |
| 592 | C4⋊C4 | — | 10 | 2 | no | — |
| 593 | C4⋊C4 | — | 10 | 2 | no | — |
| 594 | C4⋊C4 | — | 10 | 2 | no | — |
| 595 | C4⋊C4 | — | 10 | 2 | no | — |
| 596 | C22⋊C4 | — | 10 | 2 | no | — |
| 597 | C22⋊C4 | — | 10 | 2 | no | — |
| 598 | C22⋊C4 | — | 10 | 2 | no | — |
| 599 | C22⋊C4 | — | 10 | 2 | no | — |
| 600 | C22⋊C4 | — | 10 | 2 | no | — |
| 601 | C22⋊C4 | — | 10 | 2 | no | — |
| 602 | C22⋊C4 | — | 10 | 2 | no | — |
| 603 | C22⋊C4 | — | 10 | 2 | no | — |
| 604 | C22⋊C4 | — | 10 | 2 | no | — |
| 605 | C22⋊C4 | — | 10 | 2 | no | — |
| 606 | C42 | — | 2 | 2 | no | — |
| 607 | C42 | — | 2 | 1 | no | — |
| 608 | C42 | — | 5 | 1 | no | — |
| 609 | C42 | — | 5 | 2 | no | — |
| 610 | C42 | — | 10 | 1 | no | — |
| 611 | C42 | — | 10 | 2 | no | — |
| 612 | C42 | — | 10 | 1 | no | — |
| 613 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 614 | C42 | D4×D5 | 1 | 2 | yes | — |
| 615 | C2×C5 | — | 2 | 1 | no | — |
| 616 | C2×C5 | — | 8 | 1 | no | — |
| 617 | C2×C5 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 618 | D5 | — | 4 | 2 | no | — |
| 619 | D5 | — | 4 | 1 | no | — |
| 620 | D5 | — | 8 | 1 | no | — |
| 621 | D5 | — | 8 | 1 | no | — |
| 622 | C23 | — | 5 | 2 | no | — |
| 623 | C23 | — | 5 | 1 | no | — |
| 624 | C23 | — | 10 | 1 | no | — |
| 625 | C23 | — | 20 | 2 | no | — |
| 626 | C23 | — | 20 | 1 | no | — |
| 627 | Q8 | — | 2 | 1 | no | — |
| 628 | Q8 | — | 2 | 2 | no | — |
| 629 | Q8 | — | 4 | 1 | no | — |
| 630 | Q8 | — | 4 | 2 | no | — |
| 631 | Q8 | — | 4 | 1 | no | — |
| 632 | Q8 | — | 4 | 2 | no | — |
| 633 | Q8 | — | 8 | 1 | no | — |
| 634 | Q8 | — | 10 | 1 | no | — |
| 635 | Q8 | — | 10 | 2 | no | — |
| 636 | Q8 | — | 20 | 2 | no | — |
| 637 | Q8 | — | 20 | 2 | no | — |
| 638 | Q8 | — | 20 | 1 | no | — |
| 639 | Q8 | — | 20 | 2 | no | — |
| 640 | Q8 | — | 20 | 2 | no | — |
| 641 | Q8 | — | 40 | 1 | no | — |
| 642 | D4 | — | 2 | 1 | no | — |
| 643 | D4 | — | 2 | 2 | no | — |
| 644 | D4 | — | 4 | 1 | no | — |
| 645 | D4 | — | 10 | 1 | no | — |
| 646 | D4 | — | 10 | 2 | no | — |
| 647 | D4 | — | 20 | 1 | no | — |
| 648 | D4 | — | 20 | 2 | no | — |
| 649 | D4 | — | 20 | 1 | no | — |
| 650 | D4 | — | 20 | 4 | no | — |
| 651 | D4 | — | 20 | 2 | no | — |
| 652 | D4 | — | 20 | 1 | no | — |
| 653 | D4 | — | 20 | 1 | no | — |
| 654 | D4 | — | 20 | 2 | no | — |
| 655 | D4 | — | 20 | 1 | no | — |
| 656 | D4 | — | 20 | 1 | no | — |
| 657 | D4 | — | 40 | 1 | no | — |
| 658 | C2×C4 | — | 2 | 1 | no | — |
| 659 | C2×C4 | — | 2 | 2 | no | — |
| 660 | C2×C4 | — | 2 | 1 | no | — |
| 661 | C2×C4 | — | 2 | 2 | no | — |
| 662 | C2×C4 | — | 4 | 1 | no | — |
| 663 | C2×C4 | — | 4 | 2 | no | — |
| 664 | C2×C4 | — | 5 | 1 | no | — |
| 665 | C2×C4 | — | 10 | 1 | no | — |
| 666 | C2×C4 | — | 10 | 2 | no | — |
| 667 | C2×C4 | — | 10 | 2 | no | — |
| 668 | C2×C4 | — | 10 | 1 | no | — |
| 669 | C2×C4 | — | 10 | 2 | no | — |
| 670 | C2×C4 | — | 10 | 1 | no | — |
| 671 | C2×C4 | — | 10 | 2 | no | — |
| 672 | C2×C4 | — | 20 | 2 | no | — |
| 673 | C2×C4 | — | 20 | 1 | no | — |
| 674 | C2×C4 | — | 20 | 2 | no | — |
| 675 | C2×C4 | — | 20 | 1 | no | — |
| 676 | C2×C4 | — | 20 | 1 | no | — |
| 677 | C2×C4 | — | 20 | 1 | no | — |
| 678 | C2×C4 | — | 20 | 2 | no | — |
| 679 | C2×C4 | — | 20 | 1 | no | — |
| 680 | C2×C4 | — | 20 | 1 | no | — |
| 681 | C2×C4 | — | 40 | 2 | no | — |
| 682 | C2×C4 | — | 40 | 2 | no | — |
| 683 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 684 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 685 | C8 | — | 4 | 1 | no | — |
| 686 | C8 | — | 4 | 2 | no | — |
| 687 | C8 | — | 20 | 1 | no | — |
| 688 | C8 | — | 20 | 2 | no | — |
| 689 | C5 | #33571 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 690 | C22 | — | 4 | 1 | no | — |
| 691 | C22 | — | 10 | 2 | no | — |
| 692 | C22 | — | 10 | 1 | no | — |
| 693 | C22 | — | 20 | 1 | no | — |
| 694 | C22 | — | 20 | 2 | no | — |
| 695 | C22 | — | 20 | 2 | no | — |
| 696 | C22 | — | 20 | 1 | no | — |
| 697 | C22 | — | 20 | 1 | no | — |
| 698 | C22 | — | 80 | 2 | no | — |
| 699 | C22 | — | 80 | 1 | no | — |
| 700 | C22 | D5×#120 | 1 | 1 | yes | characteristic |
| 701 | C4 | — | 2 | 2 | no | — |
| 702 | C4 | — | 2 | 1 | no | — |
| 703 | C4 | — | 2 | 2 | no | — |
| 704 | C4 | — | 4 | 2 | no | — |
| 705 | C4 | — | 4 | 1 | no | — |
| 706 | C4 | — | 4 | 2 | no | — |
| 707 | C4 | — | 4 | 1 | no | — |
| 708 | C4 | — | 5 | 1 | no | — |
| 709 | C4 | — | 5 | 1 | no | — |
| 710 | C4 | — | 20 | 1 | no | — |
| 711 | C4 | — | 20 | 2 | no | — |
| 712 | C4 | — | 20 | 2 | no | — |
| 713 | C4 | — | 20 | 1 | no | — |
| 714 | C2 | — | 2 | 1 | no | — |
| 715 | C2 | — | 8 | 1 | no | — |
| 716 | C2 | — | 20 | 2 | no | — |
| 717 | C2 | — | 20 | 1 | no | — |
| 718 | C2 | — | 40 | 1 | no | — |
| 719 | C2 | — | 40 | 1 | no | — |
| 720 | C2 | D5×B(4,𝔽2) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10618945 | C2 | semidirect |
| 2. #10612031 | C2 | semidirect |
| 4. C5×#2205 | C2 | semidirect |
| 5. #10602735 | C2 | semidirect |
| 6. #10601788 | C2 | semidirect |
| 7. #10601786 | C2 | semidirect |
| 8. #10599966 | C2 | semidirect |
| 9. #10599965 | C2 | semidirect |
| 10. #10599962 | C2 | semidirect |
| 11. #10599960 | C2 | semidirect |
| 13. C5×Q82 | C22 | semidirect |
| 17. #66069 | C22 | semidirect |
| 23. #66056 | C22 | semidirect |
| 44. C5×#356 | C22 | semidirect |
| 45. C5×#356 | C22 | semidirect |
| 46. #64768 | C22 | semidirect |
| 47. #64768 | C22 | semidirect |
| 48. #64698 | C22 | semidirect |
| 49. #64698 | C22 | semidirect |
| 50. #64697 | C22 | semidirect |
| 153. #2205 | D5 | semidirect |
| 281. Q82 | C2×D5 | semidirect |
| 310. #356 | C2×D5 | semidirect |
| 311. #356 | C2×D5 | semidirect |
| 689. C5 | #33571 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618945 | 2 |
| #10612031 | 2 |
| #10612029 | 2 |
| C5×#2205 | 2 |
| #10602735 | 2 |
| #10601788 | 2 |
| #10601786 | 2 |
| #10599966 | 2 |
| #10599965 | 2 |
| #10599962 | 2 |
| #10599960 | 2 |
| #33571 | 5 |