Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
14814 conjugacy classes of subgroups.
The subgroup lattice has 888 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10575219 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10574173 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #6434130 | C2 | 1 | 24 | yes | maximal, complemented |
| 4 | #6434129 | C2 | 1 | 12 | yes | maximal, complemented |
| 5 | C2×#30057 | C2 | 1 | 12 | yes | maximal, complemented |
| 6 | #6432197 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #6431843 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #6431739 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #6431723 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #6371543 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #6371521 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #6371071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #63090 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#3585 | C22 | 1 | 2 | yes | — |
| 15 | #63076 | C22 | 1 | 2 | yes | — |
| 16 | #62852 | C22 | 1 | 2 | yes | — |
| 17 | #62813 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#3498 | C22 | 1 | 1 | yes | characteristic |
| 19 | #60626 | — | 2 | 8 | no | — |
| 20 | #60622 | — | 2 | 8 | no | — |
| 21 | #60619 | C22 | 1 | 12 | yes | complemented |
| 22 | #60618 | C22 | 1 | 6 | yes | complemented |
| 23 | C2×#3138 | C22 | 1 | 6 | yes | complemented |
| 24 | #60184 | — | 2 | 8 | no | — |
| 25 | #60183 | — | 2 | 8 | no | — |
| 26 | #60182 | C22 | 1 | 12 | yes | complemented |
| 27 | C2×#2956 | C22 | 1 | 12 | yes | complemented |
| 28 | #60113 | C22 | 1 | 1 | yes | characteristic |
| 29 | #60093 | C22 | 1 | 2 | yes | — |
| 30 | C2×#2901 | C22 | 1 | 2 | yes | — |
| 31 | #60087 | C22 | 1 | 2 | yes | — |
| 32 | #60087 | C22 | 1 | 2 | yes | — |
| 33 | #60087 | C22 | 1 | 2 | yes | — |
| 34 | C2×#2888 | C22 | 1 | 2 | yes | — |
| 35 | #60070 | C22 | 1 | 2 | yes | — |
| 36 | C4×#568 | C22 | 1 | 1 | yes | characteristic |
| 37 | #30058 | C22 | 1 | 16 | yes | complemented |
| 38 | #30057 | C22 | 1 | 48 | yes | complemented |
| 39 | #30057 | C22 | 1 | 96 | yes | complemented |
| 40 | #30056 | C22 | 1 | 96 | yes | complemented |
| 41 | #23652 | C22 | 1 | 24 | yes | complemented |
| 42 | C2×#2081 | C22 | 1 | 24 | yes | complemented |
| 43 | #23472 | C22 | 1 | 24 | yes | complemented |
| 44 | C2×#2031 | C22 | 1 | 24 | yes | complemented |
| 45 | #23412 | C22 | 1 | 24 | yes | complemented |
| 46 | C2×#2008 | C22 | 1 | 24 | yes | complemented |
| 47 | #23402 | C22 | 1 | 12 | yes | complemented |
| 48 | #23400 | C22 | 1 | 12 | yes | complemented |
| 49 | #23399 | C22 | 1 | 12 | yes | complemented |
| 50 | C2×#2002 | C22 | 1 | 12 | yes | complemented |
| 51 | #21009 | C22 | 1 | 24 | yes | complemented |
| 52 | C2×#1910 | C22 | 1 | 24 | yes | complemented |
| 53 | #20995 | C22 | 1 | 24 | yes | complemented |
| 54 | C2×#1903 | C22 | 1 | 24 | yes | complemented |
| 55 | #20776 | C22 | 1 | 12 | yes | complemented |
| 56 | C2×#1841 | C22 | 1 | 12 | yes | complemented |
| 57 | #20360 | C22 | 1 | 2 | yes | — |
| 58 | #20360 | C22 | 1 | 2 | yes | — |
| 59 | #20343 | C22 | 1 | 2 | yes | — |
| 60 | #20340 | C22 | 1 | 1 | yes | characteristic |
| 61 | #20338 | C22 | 1 | 2 | yes | — |
| 62 | #20338 | C22 | 1 | 1 | yes | characteristic |
| 63 | C2×#585 | C23 | 1 | 2 | yes | — |
| 64 | C22×H(5,𝔽2) | C23 | 1 | 2 | yes | — |
| 65 | #3586 | — | 2 | 8 | no | — |
| 66 | #3585 | — | 2 | 8 | no | — |
| 67 | #3585 | — | 4 | 8 | no | — |
| 68 | #3585 | — | 4 | 8 | no | — |
| 69 | #3584 | — | 2 | 8 | no | — |
| 70 | C2×#577 | — | 2 | 8 | no | — |
| 71 | C2×#576 | — | 2 | 8 | no | — |
| 72 | C2×#575 | C23 | 1 | 12 | yes | — |
| 73 | C2×#575 | C23 | 1 | 12 | yes | — |
| 74 | C22×AGL(1,ℤ/8) | C23 | 1 | 12 | yes | — |
| 75 | #3573 | — | 2 | 16 | no | — |
| 76 | #3573 | — | 4 | 8 | no | — |
| 77 | C2×#568 | — | 4 | 8 | no | — |
| 78 | C2×#568 | C23 | 1 | 24 | yes | — |
| 79 | C2×#568 | C23 | 1 | 2 | yes | — |
| 80 | C2×#568 | C23 | 1 | 2 | yes | — |
| 81 | C2×#568 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×#568 | C23 | 1 | 1 | yes | characteristic |
| 83 | #3504 | — | 2 | 4 | no | — |
| 84 | #3503 | — | 2 | 4 | no | — |
| 85 | #3502 | — | 4 | 1 | no | — |
| 86 | #3501 | — | 4 | 3 | no | — |
| 87 | #3500 | — | 2 | 8 | no | — |
| 88 | #3498 | — | 2 | 8 | no | — |
| 89 | #3498 | — | 2 | 4 | no | — |
| 90 | #3498 | — | 2 | 4 | no | — |
| 91 | #3498 | — | 4 | 4 | no | — |
| 92 | #3488 | — | 4 | 8 | no | — |
| 93 | #3487 | — | 4 | 2 | no | — |
| 94 | #3484 | — | 4 | 6 | no | — |
| 95 | Q8×#41 | — | 4 | 4 | no | — |
| 96 | C2×#550 | — | 4 | 1 | no | — |
| 97 | C2×D42 | — | 4 | 3 | no | — |
| 98 | #3458 | C23 | 1 | 6 | yes | — |
| 99 | #3449 | C23 | 1 | 12 | yes | — |
| 100 | C2×#535 | C23 | 1 | 12 | yes | — |
| 101 | C2×#535 | C23 | 1 | 6 | yes | — |
| 102 | C2×#533 | C23 | 1 | 6 | yes | — |
| 103 | C2×#532 | C23 | 1 | 3 | yes | — |
| 104 | C22×#127 | C23 | 1 | 3 | yes | — |
| 105 | #3428 | C23 | 1 | 2 | yes | — |
| 106 | #3428 | C23 | 1 | 2 | yes | — |
| 107 | C2×C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 108 | #3142 | — | 2 | 12 | no | — |
| 109 | #3141 | — | 2 | 12 | no | — |
| 110 | #3140 | C23 | 1 | 24 | yes | — |
| 111 | #3139 | C23 | 1 | 4 | yes | — |
| 112 | #3138 | — | 2 | 12 | no | — |
| 113 | #3138 | — | 2 | 12 | no | — |
| 114 | #3138 | C23 | 1 | 12 | yes | — |
| 115 | #3138 | C23 | 1 | 24 | yes | — |
| 116 | #3136 | — | 2 | 48 | no | — |
| 117 | #3136 | — | 2 | 48 | no | — |
| 118 | #3135 | — | 2 | 12 | no | — |
| 119 | C2×#490 | — | 2 | 12 | no | — |
| 120 | #3131 | — | 2 | 12 | no | — |
| 121 | C2×#486 | — | 2 | 12 | no | — |
| 122 | #2957 | — | 2 | 48 | no | — |
| 123 | #2956 | — | 2 | 24 | no | — |
| 124 | #2956 | — | 2 | 24 | no | — |
| 125 | #2956 | C23 | 1 | 16 | yes | — |
| 126 | #2956 | C23 | 1 | 48 | yes | — |
| 127 | #2955 | — | 2 | 48 | no | — |
| 128 | C2×#444 | — | 2 | 24 | no | — |
| 129 | C2×#443 | — | 2 | 24 | no | — |
| 130 | #2916 | — | 2 | 8 | no | — |
| 131 | C2×#430 | C23 | 1 | 12 | yes | — |
| 132 | #2901 | — | 2 | 8 | no | — |
| 133 | #2901 | — | 2 | 8 | no | — |
| 134 | #2901 | — | 4 | 8 | no | — |
| 135 | C2×#421 | C23 | 1 | 24 | yes | — |
| 136 | C2×#421 | C23 | 1 | 12 | yes | — |
| 137 | C22×#104 | C23 | 1 | 12 | yes | — |
| 138 | #2897 | — | 2 | 16 | no | — |
| 139 | #2897 | — | 2 | 16 | no | — |
| 140 | #2897 | — | 4 | 8 | no | — |
| 141 | #2896 | C23 | 1 | 12 | yes | — |
| 142 | #2896 | C23 | 1 | 12 | yes | — |
| 143 | #2896 | C23 | 1 | 12 | yes | — |
| 144 | C2×#418 | C23 | 1 | 12 | yes | — |
| 145 | C2×#418 | C23 | 1 | 12 | yes | — |
| 146 | C2×#418 | C23 | 1 | 12 | yes | — |
| 147 | #2888 | — | 4 | 8 | no | — |
| 148 | C2×#413 | C23 | 1 | 12 | yes | — |
| 149 | C22×#100 | C23 | 1 | 12 | yes | — |
| 150 | #2884 | — | 4 | 2 | no | — |
| 151 | #2883 | — | 4 | 6 | no | — |
| 152 | C2×#410 | C23 | 1 | 24 | yes | — |
| 153 | #2875 | D4 | 1 | 8 | yes | complemented |
| 154 | C4×#131 | D4 | 1 | 8 | yes | complemented |
| 155 | #2873 | C23 | 1 | 6 | yes | — |
| 156 | C2×C4×M16 | C23 | 1 | 6 | yes | — |
| 157 | #2082 | C23 | 1 | 32 | yes | — |
| 158 | #2081 | C23 | 1 | 96 | yes | — |
| 159 | #2031 | C23 | 1 | 96 | yes | — |
| 160 | #2031 | C23 | 1 | 32 | yes | — |
| 161 | #2009 | C23 | 1 | 32 | yes | — |
| 162 | #2008 | C23 | 1 | 96 | yes | — |
| 163 | #2005 | C23 | 1 | 8 | yes | — |
| 164 | #2004 | C23 | 1 | 24 | yes | — |
| 165 | #2003 | C23 | 1 | 24 | yes | — |
| 166 | #2002 | C23 | 1 | 24 | yes | — |
| 167 | #2002 | C23 | 1 | 48 | yes | — |
| 168 | #1910 | C23 | 1 | 96 | yes | — |
| 169 | #1909 | C23 | 1 | 32 | yes | — |
| 170 | #1903 | C23 | 1 | 96 | yes | — |
| 171 | #1902 | C23 | 1 | 32 | yes | — |
| 172 | #1841 | C23 | 1 | 16 | yes | — |
| 173 | #1841 | C23 | 1 | 48 | yes | — |
| 174 | C2×#344 | C23 | 1 | 24 | yes | — |
| 175 | C2×#344 | C23 | 1 | 24 | yes | — |
| 176 | #1733 | C23 | 1 | 12 | yes | — |
| 177 | C2×#339 | C23 | 1 | 12 | yes | — |
| 178 | C2×#338 | C23 | 1 | 12 | yes | — |
| 179 | C2×H(3,ℤ/4) | C23 | 1 | 12 | yes | — |
| 180 | C2×H(3,ℤ/4) | C23 | 1 | 24 | yes | — |
| 181 | #585 | — | 2 | 8 | no | — |
| 182 | #585 | — | 2 | 8 | no | — |
| 183 | #585 | — | 2 | 8 | no | — |
| 184 | #585 | — | 2 | 8 | no | — |
| 185 | C2×2−1+4 | — | 2 | 2 | no | — |
| 186 | C2×2−1+4 | #41 | 1 | 8 | yes | — |
| 187 | C2×H(5,𝔽2) | — | 2 | 6 | no | — |
| 188 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 189 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 190 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 191 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 192 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 193 | C2×H(5,𝔽2) | — | 2 | 8 | no | — |
| 194 | C2×H(5,𝔽2) | #41 | 1 | 8 | yes | — |
| 195 | C22×#41 | — | 2 | 8 | no | — |
| 196 | C22×#41 | — | 2 | 2 | no | — |
| 197 | C22×#41 | C24 | 1 | 12 | yes | — |
| 198 | C22×#41 | C24 | 1 | 6 | yes | — |
| 199 | C22×#41 | C24 | 1 | 1 | yes | characteristic |
| 200 | C23×D4 | — | 2 | 6 | no | — |
| 201 | C23×D4 | — | 4 | 3 | no | — |
| 202 | C23×D4 | C24 | 1 | 6 | yes | — |
| 203 | #578 | — | 2 | 32 | no | — |
| 204 | #577 | — | 2 | 64 | no | — |
| 205 | #577 | — | 4 | 64 | no | — |
| 206 | #576 | — | 2 | 32 | no | — |
| 207 | #576 | — | 4 | 64 | no | — |
| 208 | #575 | — | 2 | 48 | no | — |
| 209 | #575 | — | 2 | 24 | no | — |
| 210 | #575 | — | 4 | 24 | no | — |
| 211 | #575 | — | 4 | 24 | no | — |
| 212 | #575 | C24 | 1 | 16 | yes | — |
| 213 | C2×#137 | — | 2 | 24 | no | — |
| 214 | C2×#137 | — | 2 | 12 | no | — |
| 215 | C2×#137 | C24 | 1 | 8 | yes | — |
| 216 | C2×AGL(1,ℤ/8) | — | 2 | 24 | no | — |
| 217 | C2×AGL(1,ℤ/8) | — | 2 | 24 | no | — |
| 218 | C2×AGL(1,ℤ/8) | — | 2 | 12 | no | — |
| 219 | C2×AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 220 | C2×AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 221 | C2×AGL(1,ℤ/8) | C24 | 1 | 24 | yes | — |
| 222 | C2×#135 | — | 2 | 24 | no | — |
| 223 | C2×#135 | — | 2 | 24 | no | — |
| 224 | C22×SD16 | — | 2 | 12 | no | — |
| 225 | C22×D8 | — | 2 | 12 | no | — |
| 226 | #568 | — | 2 | 8 | no | — |
| 227 | #568 | — | 2 | 8 | no | — |
| 228 | #568 | — | 2 | 8 | no | — |
| 229 | #568 | — | 2 | 8 | no | — |
| 230 | #568 | — | 2 | 8 | no | — |
| 231 | #568 | — | 2 | 8 | no | — |
| 232 | #568 | — | 2 | 48 | no | — |
| 233 | #568 | — | 4 | 24 | no | — |
| 234 | #568 | — | 4 | 24 | no | — |
| 235 | #568 | — | 4 | 64 | no | — |
| 236 | #568 | C24 | 1 | 32 | yes | — |
| 237 | C2×#131 | — | 2 | 8 | no | — |
| 238 | C2×#131 | — | 2 | 8 | no | — |
| 239 | C2×#131 | — | 2 | 48 | no | — |
| 240 | C2×#131 | — | 4 | 24 | no | — |
| 241 | C2×#131 | — | 4 | 64 | no | — |
| 242 | C2×#131 | C2×D4 | 1 | 8 | yes | — |
| 243 | C2×#131 | C2×D4 | 1 | 8 | yes | — |
| 244 | C22×M16 | — | 4 | 24 | no | — |
| 245 | C22×M16 | C24 | 1 | 12 | yes | — |
| 246 | C22×M16 | C24 | 1 | 12 | yes | — |
| 247 | C22×M16 | C24 | 1 | 6 | yes | — |
| 248 | C22×M16 | C24 | 1 | 6 | yes | — |
| 249 | Q82 | — | 4 | 4 | no | — |
| 250 | #557 | — | 4 | 4 | no | — |
| 251 | #557 | — | 4 | 8 | no | — |
| 252 | #554 | — | 4 | 12 | no | — |
| 253 | #554 | — | 4 | 24 | no | — |
| 254 | #550 | — | 4 | 8 | no | — |
| 255 | #550 | — | 4 | 8 | no | — |
| 256 | #550 | — | 4 | 16 | no | — |
| 257 | D4×Q8 | — | 4 | 12 | no | — |
| 258 | #548 | — | 4 | 16 | no | — |
| 259 | #546 | — | 4 | 48 | no | — |
| 260 | D42 | — | 4 | 24 | no | — |
| 261 | D42 | — | 4 | 24 | no | — |
| 262 | D42 | — | 4 | 48 | no | — |
| 263 | #544 | — | 2 | 24 | no | — |
| 264 | #544 | — | 4 | 6 | no | — |
| 265 | #543 | — | 4 | 6 | no | — |
| 266 | #537 | — | 4 | 12 | no | — |
| 267 | #536 | — | 2 | 12 | no | — |
| 268 | #536 | C24 | 1 | 8 | yes | — |
| 269 | #535 | — | 2 | 24 | no | — |
| 270 | #535 | — | 2 | 12 | no | — |
| 271 | #535 | — | 2 | 24 | no | — |
| 272 | #535 | — | 4 | 12 | no | — |
| 273 | #535 | — | 4 | 12 | no | — |
| 274 | #535 | — | 4 | 12 | no | — |
| 275 | #535 | C24 | 1 | 24 | yes | — |
| 276 | #534 | — | 4 | 12 | no | — |
| 277 | #533 | — | 2 | 6 | no | — |
| 278 | #533 | — | 2 | 6 | no | — |
| 279 | #533 | — | 4 | 6 | no | — |
| 280 | #533 | — | 4 | 6 | no | — |
| 281 | #533 | — | 4 | 12 | no | — |
| 282 | #533 | C24 | 1 | 4 | yes | — |
| 283 | #533 | C24 | 1 | 12 | yes | — |
| 284 | #532 | — | 2 | 24 | no | — |
| 285 | #532 | — | 2 | 6 | no | — |
| 286 | #532 | — | 2 | 6 | no | — |
| 287 | #532 | — | 4 | 6 | no | — |
| 288 | C2×C4⋊Q8 | — | 2 | 6 | no | — |
| 289 | C2×C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 290 | C2×#127 | — | 2 | 12 | no | — |
| 291 | C2×#127 | — | 2 | 6 | no | — |
| 292 | C2×#127 | — | 2 | 6 | no | — |
| 293 | C2×#127 | — | 4 | 3 | no | — |
| 294 | C2×#127 | — | 4 | 6 | no | — |
| 295 | C2×#127 | C24 | 1 | 3 | yes | — |
| 296 | C2×#127 | C24 | 1 | 6 | yes | — |
| 297 | C2×#125 | — | 2 | 6 | no | — |
| 298 | C2×#124 | — | 2 | 12 | no | — |
| 299 | C2×#124 | C24 | 1 | 6 | yes | — |
| 300 | #525 | — | 4 | 12 | no | — |
| 301 | #525 | — | 4 | 12 | no | — |
| 302 | C2×C22⋊Q8 | — | 4 | 6 | no | — |
| 303 | C2×#121 | — | 4 | 6 | no | — |
| 304 | C2×#121 | — | 4 | 12 | no | — |
| 305 | C2×#121 | — | 4 | 3 | no | — |
| 306 | C2×#120 | — | 4 | 6 | no | — |
| 307 | C2×#120 | — | 4 | 12 | no | — |
| 308 | #520 | — | 2 | 8 | no | — |
| 309 | #520 | — | 2 | 8 | no | — |
| 310 | #519 | — | 2 | 2 | no | — |
| 311 | #519 | — | 2 | 2 | no | — |
| 312 | #518 | — | 2 | 6 | no | — |
| 313 | #518 | — | 2 | 6 | no | — |
| 314 | C4×#41 | — | 2 | 4 | no | — |
| 315 | C4×#41 | — | 2 | 8 | no | — |
| 316 | C4×#41 | — | 2 | 8 | no | — |
| 317 | C4×#41 | C2×D4 | 1 | 4 | yes | — |
| 318 | C4×#41 | C2×D4 | 1 | 4 | yes | — |
| 319 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 320 | C2×C4×Q8 | — | 4 | 6 | no | — |
| 321 | C2×C4×D4 | — | 2 | 3 | no | — |
| 322 | C2×C4×D4 | — | 4 | 3 | no | — |
| 323 | C2×#117 | C24 | 1 | 12 | yes | — |
| 324 | C2×#117 | C24 | 1 | 12 | yes | — |
| 325 | C2×#117 | C24 | 1 | 3 | yes | — |
| 326 | C22×C42 | C24 | 1 | 3 | yes | — |
| 327 | #491 | — | 2 | 8 | no | — |
| 328 | #490 | — | 2 | 24 | no | — |
| 329 | #490 | — | 2 | 48 | no | — |
| 330 | #489 | — | 2 | 48 | no | — |
| 331 | #488 | — | 2 | 48 | no | — |
| 332 | #487 | — | 2 | 8 | no | — |
| 333 | #486 | — | 2 | 24 | no | — |
| 334 | #486 | — | 2 | 48 | no | — |
| 335 | #444 | — | 2 | 32 | no | — |
| 336 | #444 | — | 2 | 96 | no | — |
| 337 | #443 | — | 2 | 32 | no | — |
| 338 | #443 | — | 2 | 96 | no | — |
| 339 | #430 | — | 2 | 24 | no | — |
| 340 | #430 | C24 | 1 | 16 | yes | — |
| 341 | C2×#108 | — | 2 | 24 | no | — |
| 342 | #421 | — | 2 | 48 | no | — |
| 343 | #421 | — | 4 | 24 | no | — |
| 344 | #421 | C24 | 1 | 32 | yes | — |
| 345 | C2×#104 | — | 2 | 24 | no | — |
| 346 | C2×#104 | — | 2 | 24 | no | — |
| 347 | C2×#104 | — | 4 | 24 | no | — |
| 348 | C2×#104 | C24 | 1 | 8 | yes | — |
| 349 | C2×#104 | C24 | 1 | 24 | yes | — |
| 350 | #419 | C24 | 1 | 8 | yes | — |
| 351 | #419 | C24 | 1 | 8 | yes | — |
| 352 | #419 | C24 | 1 | 8 | yes | — |
| 353 | #418 | — | 2 | 24 | no | — |
| 354 | #418 | — | 2 | 24 | no | — |
| 355 | #418 | — | 4 | 12 | no | — |
| 356 | #418 | C24 | 1 | 24 | yes | — |
| 357 | #418 | C24 | 1 | 24 | yes | — |
| 358 | #418 | C24 | 1 | 24 | yes | — |
| 359 | #417 | — | 2 | 24 | no | — |
| 360 | #417 | — | 2 | 24 | no | — |
| 361 | #417 | — | 4 | 12 | no | — |
| 362 | #416 | — | 2 | 24 | no | — |
| 363 | #416 | — | 2 | 24 | no | — |
| 364 | #416 | — | 4 | 12 | no | — |
| 365 | C2×#102 | — | 2 | 24 | no | — |
| 366 | C2×#102 | — | 2 | 24 | no | — |
| 367 | C2×#102 | — | 4 | 12 | no | — |
| 368 | #413 | — | 4 | 24 | no | — |
| 369 | C2×#101 | C24 | 1 | 8 | yes | — |
| 370 | C2×#100 | — | 4 | 24 | no | — |
| 371 | C2×#100 | C24 | 1 | 24 | yes | — |
| 372 | #410 | — | 4 | 24 | no | — |
| 373 | #410 | C24 | 1 | 32 | yes | — |
| 374 | C2×#99 | — | 4 | 24 | no | — |
| 375 | #405 | C2×D4 | 1 | 24 | yes | complemented |
| 376 | #405 | C2×D4 | 1 | 24 | yes | complemented |
| 377 | C4×M16 | C2×D4 | 1 | 12 | yes | complemented |
| 378 | C4×M16 | C2×D4 | 1 | 12 | yes | complemented |
| 379 | C4×M16 | C24 | 1 | 4 | yes | — |
| 380 | C4×M16 | C24 | 1 | 12 | yes | — |
| 381 | C2×#97 | C2×D4 | 1 | 12 | yes | complemented |
| 382 | C2×C4×C8 | C2×D4 | 1 | 12 | yes | complemented |
| 383 | #344 | C24 | 1 | 32 | yes | — |
| 384 | #344 | C24 | 1 | 32 | yes | — |
| 385 | #339 | C24 | 1 | 8 | yes | — |
| 386 | #339 | C24 | 1 | 24 | yes | — |
| 387 | #338 | C24 | 1 | 16 | yes | — |
| 388 | H(3,ℤ/4) | C24 | 1 | 32 | yes | — |
| 389 | H(3,ℤ/4) | C24 | 1 | 16 | yes | — |
| 390 | C25 | — | 2 | 6 | no | — |
| 391 | 2−1+4 | — | 2 | 32 | no | — |
| 392 | 2−1+4 | — | 2 | 32 | no | — |
| 393 | 2−1+4 | — | 4 | 8 | no | — |
| 394 | 2−1+4 | — | 4 | 8 | no | — |
| 395 | H(5,𝔽2) | — | 2 | 32 | no | — |
| 396 | H(5,𝔽2) | — | 2 | 32 | no | — |
| 397 | H(5,𝔽2) | — | 4 | 24 | no | — |
| 398 | H(5,𝔽2) | — | 4 | 24 | no | — |
| 399 | H(5,𝔽2) | — | 4 | 32 | no | — |
| 400 | H(5,𝔽2) | — | 4 | 32 | no | — |
| 401 | H(5,𝔽2) | — | 4 | 32 | no | — |
| 402 | H(5,𝔽2) | — | 4 | 32 | no | — |
| 403 | C2×#41 | — | 2 | 8 | no | — |
| 404 | C2×#41 | — | 2 | 24 | no | — |
| 405 | C2×#41 | — | 2 | 12 | no | — |
| 406 | C2×#41 | — | 2 | 12 | no | — |
| 407 | C2×#41 | — | 2 | 24 | no | — |
| 408 | C2×#41 | — | 2 | 12 | no | — |
| 409 | C2×#41 | — | 2 | 24 | no | — |
| 410 | C2×#41 | — | 2 | 12 | no | — |
| 411 | C2×#41 | — | 2 | 12 | no | — |
| 412 | C2×#41 | — | 2 | 24 | no | — |
| 413 | C2×#41 | — | 2 | 24 | no | — |
| 414 | C2×#41 | — | 2 | 12 | no | — |
| 415 | C2×#41 | — | 2 | 12 | no | — |
| 416 | C2×#41 | — | 2 | 12 | no | — |
| 417 | C2×#41 | — | 4 | 32 | no | — |
| 418 | C2×#41 | — | 4 | 32 | no | — |
| 419 | C2×#41 | — | 4 | 8 | no | — |
| 420 | C2×#41 | — | 4 | 8 | no | — |
| 421 | C2×#41 | — | 4 | 8 | no | — |
| 422 | C2×#41 | C22×D4 | 1 | 4 | yes | — |
| 423 | C2×#41 | C2×#41 | 1 | 24 | yes | — |
| 424 | C2×#41 | C2×#41 | 1 | 8 | yes | — |
| 425 | C2×#41 | H(5,𝔽2) | 1 | 4 | yes | — |
| 426 | C2×#41 | H(5,𝔽2) | 1 | 8 | yes | — |
| 427 | C2×#41 | C25 | 1 | 8 | yes | — |
| 428 | C22×Q8 | — | 2 | 8 | no | — |
| 429 | C22×Q8 | — | 4 | 6 | no | — |
| 430 | C22×Q8 | C2×#41 | 1 | 12 | yes | — |
| 431 | C22×Q8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 432 | C22×Q8 | C25 | 1 | 2 | yes | — |
| 433 | C22×D4 | — | 2 | 12 | no | — |
| 434 | C22×D4 | — | 2 | 24 | no | — |
| 435 | C22×D4 | — | 2 | 6 | no | — |
| 436 | C22×D4 | — | 2 | 12 | no | — |
| 437 | C22×D4 | — | 2 | 12 | no | — |
| 438 | C22×D4 | — | 2 | 12 | no | — |
| 439 | C22×D4 | — | 2 | 12 | no | — |
| 440 | C22×D4 | — | 2 | 12 | no | — |
| 441 | C22×D4 | — | 2 | 12 | no | — |
| 442 | C22×D4 | — | 2 | 6 | no | — |
| 443 | C22×D4 | — | 4 | 3 | no | — |
| 444 | C22×D4 | — | 4 | 6 | no | — |
| 445 | C22×D4 | — | 4 | 12 | no | — |
| 446 | C22×D4 | — | 4 | 12 | no | — |
| 447 | C22×D4 | — | 4 | 24 | no | — |
| 448 | C22×D4 | — | 4 | 24 | no | — |
| 449 | C22×D4 | — | 4 | 24 | no | — |
| 450 | C22×D4 | — | 4 | 24 | no | — |
| 451 | C22×D4 | — | 16 | 12 | no | — |
| 452 | C22×D4 | C2×#41 | 1 | 12 | yes | — |
| 453 | C22×D4 | H(5,𝔽2) | 1 | 3 | yes | — |
| 454 | C22×D4 | C25 | 1 | 6 | yes | — |
| 455 | C23×C4 | — | 2 | 3 | no | — |
| 456 | C23×C4 | — | 2 | 12 | no | — |
| 457 | C23×C4 | — | 2 | 6 | no | — |
| 458 | C23×C4 | C25 | 1 | 3 | yes | — |
| 459 | #137 | — | 2 | 96 | no | — |
| 460 | #137 | — | 2 | 32 | no | — |
| 461 | #137 | — | 4 | 8 | no | — |
| 462 | #137 | — | 4 | 8 | no | — |
| 463 | #137 | — | 4 | 48 | no | — |
| 464 | AGL(1,ℤ/8) | — | 2 | 96 | no | — |
| 465 | AGL(1,ℤ/8) | — | 2 | 32 | no | — |
| 466 | AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 467 | AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 468 | AGL(1,ℤ/8) | — | 4 | 48 | no | — |
| 469 | AGL(1,ℤ/8) | — | 4 | 96 | no | — |
| 470 | #135 | — | 2 | 96 | no | — |
| 471 | #135 | — | 2 | 32 | no | — |
| 472 | #135 | — | 4 | 96 | no | — |
| 473 | C2×Q16 | — | 2 | 24 | no | — |
| 474 | C2×Q16 | — | 2 | 8 | no | — |
| 475 | C2×SD16 | — | 2 | 48 | no | — |
| 476 | C2×SD16 | — | 2 | 24 | no | — |
| 477 | C2×SD16 | — | 2 | 8 | no | — |
| 478 | C2×SD16 | — | 4 | 48 | no | — |
| 479 | C2×D8 | — | 2 | 24 | no | — |
| 480 | C2×D8 | — | 2 | 24 | no | — |
| 481 | C2×D8 | — | 4 | 48 | no | — |
| 482 | #131 | — | 2 | 32 | no | — |
| 483 | #131 | — | 2 | 32 | no | — |
| 484 | #131 | — | 2 | 64 | no | — |
| 485 | #131 | — | 4 | 32 | no | — |
| 486 | #131 | — | 4 | 96 | no | — |
| 487 | #131 | — | 4 | 96 | no | — |
| 488 | #131 | — | 4 | 32 | no | — |
| 489 | #131 | — | 4 | 32 | no | — |
| 490 | C2×M16 | — | 2 | 24 | no | — |
| 491 | C2×M16 | — | 2 | 24 | no | — |
| 492 | C2×M16 | — | 2 | 12 | no | — |
| 493 | C2×M16 | — | 2 | 12 | no | — |
| 494 | C2×M16 | — | 2 | 24 | no | — |
| 495 | C2×M16 | — | 2 | 24 | no | — |
| 496 | C2×M16 | — | 2 | 24 | no | — |
| 497 | C2×M16 | — | 2 | 24 | no | — |
| 498 | C2×M16 | — | 4 | 48 | no | — |
| 499 | C2×M16 | — | 4 | 32 | no | — |
| 500 | C2×M16 | — | 4 | 96 | no | — |
| 501 | C2×M16 | C22×D4 | 1 | 12 | yes | — |
| 502 | C2×M16 | C22×D4 | 1 | 12 | yes | — |
| 503 | C2×M16 | C25 | 1 | 8 | yes | — |
| 504 | C2×M16 | C25 | 1 | 8 | yes | — |
| 505 | C2×M16 | C25 | 1 | 4 | yes | — |
| 506 | C2×M16 | C25 | 1 | 4 | yes | — |
| 507 | C22×C8 | — | 2 | 12 | no | — |
| 508 | C22×C8 | — | 2 | 12 | no | — |
| 509 | C22×C8 | — | 4 | 48 | no | — |
| 510 | C22×C8 | C22×D4 | 1 | 12 | yes | — |
| 511 | C22×C8 | C22×D4 | 1 | 12 | yes | — |
| 512 | C4⋊Q8 | — | 2 | 8 | no | — |
| 513 | C4⋊Q8 | — | 2 | 4 | no | — |
| 514 | C4⋊Q8 | — | 2 | 12 | no | — |
| 515 | C4⋊Q8 | — | 2 | 1 | no | — |
| 516 | C4⋊Q8 | — | 2 | 1 | no | — |
| 517 | C4⋊Q8 | — | 4 | 1 | no | — |
| 518 | C4⋊Q8 | — | 4 | 6 | no | — |
| 519 | C4⋊Q8 | — | 4 | 6 | no | — |
| 520 | C4⋊Q8 | — | 4 | 24 | no | — |
| 521 | #127 | — | 2 | 24 | no | — |
| 522 | #127 | — | 2 | 3 | no | — |
| 523 | #127 | — | 2 | 3 | no | — |
| 524 | #127 | — | 2 | 12 | no | — |
| 525 | #127 | — | 4 | 3 | no | — |
| 526 | #127 | — | 4 | 6 | no | — |
| 527 | #127 | — | 4 | 12 | no | — |
| 528 | #127 | — | 4 | 12 | no | — |
| 529 | #127 | — | 4 | 24 | no | — |
| 530 | #125 | — | 2 | 4 | no | — |
| 531 | #125 | — | 2 | 12 | no | — |
| 532 | #125 | — | 4 | 12 | no | — |
| 533 | #125 | — | 4 | 24 | no | — |
| 534 | #124 | — | 2 | 24 | no | — |
| 535 | #124 | — | 2 | 8 | no | — |
| 536 | #124 | — | 2 | 12 | no | — |
| 537 | #124 | — | 4 | 6 | no | — |
| 538 | #124 | — | 4 | 24 | no | — |
| 539 | #123 | — | 4 | 8 | no | — |
| 540 | #123 | — | 4 | 24 | no | — |
| 541 | C22⋊Q8 | — | 4 | 4 | no | — |
| 542 | C22⋊Q8 | — | 4 | 12 | no | — |
| 543 | C22⋊Q8 | — | 4 | 48 | no | — |
| 544 | C22⋊Q8 | — | 4 | 8 | no | — |
| 545 | C22⋊Q8 | — | 4 | 12 | no | — |
| 546 | C22⋊Q8 | — | 4 | 12 | no | — |
| 547 | C22⋊Q8 | — | 4 | 24 | no | — |
| 548 | #121 | — | 4 | 24 | no | — |
| 549 | #121 | — | 4 | 48 | no | — |
| 550 | #121 | — | 4 | 12 | no | — |
| 551 | #121 | — | 4 | 12 | no | — |
| 552 | #121 | — | 4 | 48 | no | — |
| 553 | #121 | — | 4 | 24 | no | — |
| 554 | #121 | — | 4 | 48 | no | — |
| 555 | #120 | — | 4 | 24 | no | — |
| 556 | #120 | — | 4 | 48 | no | — |
| 557 | #120 | — | 4 | 48 | no | — |
| 558 | #120 | — | 4 | 24 | no | — |
| 559 | C4×Q8 | — | 2 | 4 | no | — |
| 560 | C4×Q8 | — | 2 | 4 | no | — |
| 561 | C4×Q8 | — | 4 | 4 | no | — |
| 562 | C4×Q8 | — | 4 | 12 | no | — |
| 563 | C4×Q8 | — | 4 | 12 | no | — |
| 564 | C4×Q8 | — | 4 | 12 | no | — |
| 565 | C4×Q8 | — | 4 | 8 | no | — |
| 566 | C4×Q8 | — | 4 | 8 | no | — |
| 567 | C4×D4 | — | 2 | 12 | no | — |
| 568 | C4×D4 | — | 2 | 12 | no | — |
| 569 | C4×D4 | — | 4 | 12 | no | — |
| 570 | C4×D4 | — | 4 | 12 | no | — |
| 571 | C4×D4 | — | 4 | 48 | no | — |
| 572 | C4×D4 | — | 4 | 24 | no | — |
| 573 | C4×D4 | — | 4 | 24 | no | — |
| 574 | #117 | — | 2 | 6 | no | — |
| 575 | #117 | — | 2 | 12 | no | — |
| 576 | #117 | — | 2 | 12 | no | — |
| 577 | #117 | — | 2 | 12 | no | — |
| 578 | #117 | — | 2 | 12 | no | — |
| 579 | #117 | — | 2 | 12 | no | — |
| 580 | #117 | — | 2 | 12 | no | — |
| 581 | #117 | C22×D4 | 1 | 12 | yes | — |
| 582 | #117 | C25 | 1 | 8 | yes | — |
| 583 | #117 | C25 | 1 | 8 | yes | — |
| 584 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 585 | C2×C4⋊C4 | — | 2 | 12 | no | — |
| 586 | C2×C4⋊C4 | — | 2 | 12 | no | — |
| 587 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 588 | C2×C4⋊C4 | — | 4 | 12 | no | — |
| 589 | C2×C4⋊C4 | — | 4 | 6 | no | — |
| 590 | C2×C22⋊C4 | — | 2 | 3 | no | — |
| 591 | C2×C22⋊C4 | — | 2 | 12 | no | — |
| 592 | C2×C22⋊C4 | — | 2 | 12 | no | — |
| 593 | C2×C22⋊C4 | — | 4 | 6 | no | — |
| 594 | C2×C22⋊C4 | — | 4 | 24 | no | — |
| 595 | C2×C42 | — | 2 | 3 | no | — |
| 596 | C2×C42 | — | 2 | 6 | no | — |
| 597 | C2×C42 | — | 2 | 12 | no | — |
| 598 | C2×C42 | — | 2 | 12 | no | — |
| 599 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 600 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 601 | C2×C42 | C25 | 1 | 3 | yes | — |
| 602 | C2×C42 | C25 | 1 | 1 | yes | characteristic |
| 603 | #108 | — | 2 | 32 | no | — |
| 604 | #104 | — | 2 | 8 | no | — |
| 605 | #104 | — | 2 | 8 | no | — |
| 606 | #104 | — | 2 | 48 | no | — |
| 607 | #104 | — | 4 | 32 | no | — |
| 608 | #103 | — | 2 | 16 | no | — |
| 609 | #103 | — | 2 | 16 | no | — |
| 610 | #103 | — | 4 | 8 | no | — |
| 611 | #102 | — | 2 | 48 | no | — |
| 612 | #102 | — | 2 | 48 | no | — |
| 613 | #102 | — | 4 | 24 | no | — |
| 614 | #101 | — | 4 | 8 | no | — |
| 615 | #100 | — | 4 | 24 | no | — |
| 616 | #99 | — | 4 | 32 | no | — |
| 617 | #97 | C22×D4 | 1 | 8 | yes | — |
| 618 | #97 | C22×D4 | 1 | 24 | yes | — |
| 619 | C4×C8 | C22×D4 | 1 | 8 | yes | — |
| 620 | C4×C8 | C22×D4 | 1 | 24 | yes | — |
| 621 | C24 | — | 2 | 12 | no | — |
| 622 | C24 | — | 2 | 6 | no | — |
| 623 | C24 | — | 4 | 12 | no | — |
| 624 | C24 | — | 4 | 12 | no | — |
| 625 | C24 | — | 4 | 12 | no | — |
| 626 | C24 | — | 16 | 12 | no | — |
| 627 | C24 | C2×H(5,𝔽2) | 1 | 3 | yes | — |
| 628 | #41 | — | 2 | 8 | no | — |
| 629 | #41 | — | 2 | 8 | no | — |
| 630 | #41 | — | 2 | 8 | no | — |
| 631 | #41 | — | 2 | 8 | no | — |
| 632 | #41 | — | 2 | 48 | no | — |
| 633 | #41 | — | 2 | 48 | no | — |
| 634 | #41 | — | 4 | 32 | no | — |
| 635 | #41 | — | 4 | 96 | no | — |
| 636 | #41 | — | 4 | 24 | no | — |
| 637 | #41 | — | 4 | 24 | no | — |
| 638 | #41 | — | 4 | 24 | no | — |
| 639 | #41 | — | 4 | 24 | no | — |
| 640 | #41 | — | 4 | 24 | no | — |
| 641 | #41 | — | 4 | 24 | no | — |
| 642 | #41 | — | 4 | 24 | no | — |
| 643 | #41 | — | 4 | 24 | no | — |
| 644 | #41 | — | 8 | 32 | no | — |
| 645 | #41 | #525 | 1 | 16 | yes | — |
| 646 | #41 | #535 | 1 | 16 | yes | — |
| 647 | #41 | #538 | 1 | 32 | yes | — |
| 648 | C2×Q8 | — | 2 | 12 | no | — |
| 649 | C2×Q8 | — | 2 | 2 | no | — |
| 650 | C2×Q8 | — | 2 | 2 | no | — |
| 651 | C2×Q8 | — | 2 | 2 | no | — |
| 652 | C2×Q8 | — | 2 | 2 | no | — |
| 653 | C2×Q8 | — | 2 | 2 | no | — |
| 654 | C2×Q8 | — | 2 | 2 | no | — |
| 655 | C2×Q8 | — | 2 | 24 | no | — |
| 656 | C2×Q8 | — | 2 | 24 | no | — |
| 657 | C2×Q8 | — | 4 | 4 | no | — |
| 658 | C2×Q8 | — | 4 | 12 | no | — |
| 659 | C2×Q8 | — | 4 | 32 | no | — |
| 660 | C2×Q8 | — | 16 | 12 | no | — |
| 661 | C2×Q8 | #535 | 1 | 4 | yes | — |
| 662 | C2×Q8 | #538 | 1 | 8 | yes | — |
| 663 | C2×Q8 | C22×#41 | 1 | 8 | yes | — |
| 664 | C2×D4 | — | 2 | 8 | no | — |
| 665 | C2×D4 | — | 2 | 24 | no | — |
| 666 | C2×D4 | — | 2 | 6 | no | — |
| 667 | C2×D4 | — | 2 | 6 | no | — |
| 668 | C2×D4 | — | 2 | 6 | no | — |
| 669 | C2×D4 | — | 2 | 6 | no | — |
| 670 | C2×D4 | — | 2 | 6 | no | — |
| 671 | C2×D4 | — | 2 | 6 | no | — |
| 672 | C2×D4 | — | 2 | 24 | no | — |
| 673 | C2×D4 | — | 2 | 24 | no | — |
| 674 | C2×D4 | — | 2 | 12 | no | — |
| 675 | C2×D4 | — | 4 | 6 | no | — |
| 676 | C2×D4 | — | 4 | 6 | no | — |
| 677 | C2×D4 | — | 4 | 24 | no | — |
| 678 | C2×D4 | — | 4 | 24 | no | — |
| 679 | C2×D4 | — | 4 | 24 | no | — |
| 680 | C2×D4 | — | 4 | 96 | no | — |
| 681 | C2×D4 | — | 4 | 12 | no | — |
| 682 | C2×D4 | — | 4 | 12 | no | — |
| 683 | C2×D4 | — | 4 | 12 | no | — |
| 684 | C2×D4 | — | 4 | 48 | no | — |
| 685 | C2×D4 | — | 4 | 24 | no | — |
| 686 | C2×D4 | — | 4 | 24 | no | — |
| 687 | C2×D4 | — | 4 | 12 | no | — |
| 688 | C2×D4 | — | 4 | 24 | no | — |
| 689 | C2×D4 | — | 4 | 24 | no | — |
| 690 | C2×D4 | — | 4 | 12 | no | — |
| 691 | C2×D4 | — | 4 | 12 | no | — |
| 692 | C2×D4 | — | 8 | 12 | no | — |
| 693 | C2×D4 | — | 8 | 96 | no | — |
| 694 | C2×D4 | — | 16 | 24 | no | — |
| 695 | C2×D4 | — | 16 | 24 | no | — |
| 696 | C2×D4 | — | 16 | 12 | no | — |
| 697 | C2×D4 | — | 32 | 24 | no | — |
| 698 | C2×D4 | #535 | 1 | 12 | yes | — |
| 699 | C2×D4 | #538 | 1 | 24 | yes | — |
| 700 | C2×D4 | C22×#41 | 1 | 8 | yes | — |
| 701 | C22×C4 | — | 2 | 1 | no | — |
| 702 | C22×C4 | — | 2 | 6 | no | — |
| 703 | C22×C4 | — | 2 | 12 | no | — |
| 704 | C22×C4 | — | 2 | 3 | no | — |
| 705 | C22×C4 | — | 2 | 6 | no | — |
| 706 | C22×C4 | — | 2 | 8 | no | — |
| 707 | C22×C4 | — | 2 | 24 | no | — |
| 708 | C22×C4 | — | 2 | 2 | no | — |
| 709 | C22×C4 | — | 4 | 24 | no | — |
| 710 | C22×C4 | — | 4 | 24 | no | — |
| 711 | C22×C4 | — | 4 | 12 | no | — |
| 712 | C22×C4 | — | 4 | 12 | no | — |
| 713 | C22×C4 | — | 4 | 12 | no | — |
| 714 | C22×C4 | — | 4 | 12 | no | — |
| 715 | C22×C4 | — | 4 | 12 | no | — |
| 716 | C22×C4 | — | 8 | 6 | no | — |
| 717 | C22×C4 | C23×D4 | 1 | 6 | yes | — |
| 718 | C22×C4 | C22×#41 | 1 | 12 | yes | — |
| 719 | C22×C4 | C2×H(5,𝔽2) | 1 | 12 | yes | — |
| 720 | C22×C4 | C2×H(5,𝔽2) | 1 | 6 | yes | — |
| 721 | C22×C4 | C2×H(5,𝔽2) | 1 | 3 | yes | — |
| 722 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 723 | Q16 | — | 2 | 32 | no | — |
| 724 | Q16 | — | 4 | 16 | no | — |
| 725 | SD16 | — | 2 | 64 | no | — |
| 726 | SD16 | — | 4 | 16 | no | — |
| 727 | SD16 | — | 4 | 48 | no | — |
| 728 | D8 | — | 2 | 32 | no | — |
| 729 | D8 | — | 4 | 48 | no | — |
| 730 | M16 | — | 2 | 8 | no | — |
| 731 | M16 | — | 2 | 8 | no | — |
| 732 | M16 | — | 2 | 24 | no | — |
| 733 | M16 | — | 2 | 24 | no | — |
| 734 | M16 | — | 2 | 8 | no | — |
| 735 | M16 | — | 2 | 8 | no | — |
| 736 | M16 | — | 2 | 8 | no | — |
| 737 | M16 | — | 2 | 8 | no | — |
| 738 | M16 | — | 4 | 64 | no | — |
| 739 | M16 | — | 4 | 24 | no | — |
| 740 | M16 | — | 4 | 24 | no | — |
| 741 | C2×C8 | — | 2 | 24 | no | — |
| 742 | C2×C8 | — | 2 | 24 | no | — |
| 743 | C2×C8 | — | 2 | 8 | no | — |
| 744 | C2×C8 | — | 2 | 8 | no | — |
| 745 | C2×C8 | — | 4 | 64 | no | — |
| 746 | C2×C8 | — | 4 | 24 | no | — |
| 747 | C2×C8 | — | 4 | 24 | no | — |
| 748 | C2×C8 | C23×D4 | 1 | 8 | yes | — |
| 749 | C2×C8 | C23×D4 | 1 | 8 | yes | — |
| 750 | C4⋊C4 | — | 2 | 12 | no | — |
| 751 | C4⋊C4 | — | 2 | 8 | no | — |
| 752 | C4⋊C4 | — | 2 | 8 | no | — |
| 753 | C4⋊C4 | — | 4 | 8 | no | — |
| 754 | C4⋊C4 | — | 4 | 4 | no | — |
| 755 | C4⋊C4 | — | 4 | 2 | no | — |
| 756 | C4⋊C4 | — | 4 | 2 | no | — |
| 757 | C4⋊C4 | — | 4 | 24 | no | — |
| 758 | C4⋊C4 | — | 4 | 12 | no | — |
| 759 | C4⋊C4 | — | 4 | 16 | no | — |
| 760 | C4⋊C4 | — | 4 | 12 | no | — |
| 761 | C4⋊C4 | — | 4 | 12 | no | — |
| 762 | C22⋊C4 | — | 2 | 12 | no | — |
| 763 | C22⋊C4 | — | 2 | 8 | no | — |
| 764 | C22⋊C4 | — | 2 | 8 | no | — |
| 765 | C22⋊C4 | — | 4 | 48 | no | — |
| 766 | C22⋊C4 | — | 4 | 24 | no | — |
| 767 | C22⋊C4 | — | 4 | 16 | no | — |
| 768 | C22⋊C4 | — | 4 | 12 | no | — |
| 769 | C22⋊C4 | — | 4 | 12 | no | — |
| 770 | C42 | — | 2 | 1 | no | — |
| 771 | C42 | — | 2 | 3 | no | — |
| 772 | C42 | — | 2 | 6 | no | — |
| 773 | C42 | — | 2 | 6 | no | — |
| 774 | C42 | — | 2 | 8 | no | — |
| 775 | C42 | — | 2 | 8 | no | — |
| 776 | C42 | — | 4 | 12 | no | — |
| 777 | C42 | — | 4 | 12 | no | — |
| 778 | C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 779 | C42 | C23×D4 | 1 | 6 | yes | — |
| 780 | C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 781 | C23 | — | 2 | 8 | no | — |
| 782 | C23 | — | 4 | 24 | no | — |
| 783 | C23 | — | 4 | 6 | no | — |
| 784 | C23 | — | 4 | 6 | no | — |
| 785 | C23 | — | 4 | 6 | no | — |
| 786 | C23 | — | 8 | 3 | no | — |
| 787 | C23 | — | 8 | 12 | no | — |
| 788 | C23 | — | 8 | 24 | no | — |
| 789 | C23 | — | 16 | 12 | no | — |
| 790 | C23 | — | 16 | 24 | no | — |
| 791 | C23 | — | 16 | 24 | no | — |
| 792 | C23 | — | 32 | 12 | no | — |
| 793 | C23 | C2×#535 | 1 | 6 | yes | — |
| 794 | C23 | C2×#538 | 1 | 12 | yes | — |
| 795 | C23 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 796 | Q8 | — | 2 | 8 | no | — |
| 797 | Q8 | — | 2 | 8 | no | — |
| 798 | Q8 | — | 4 | 24 | no | — |
| 799 | Q8 | — | 4 | 2 | no | — |
| 800 | Q8 | — | 4 | 2 | no | — |
| 801 | Q8 | — | 4 | 2 | no | — |
| 802 | Q8 | — | 4 | 2 | no | — |
| 803 | Q8 | — | 8 | 8 | no | — |
| 804 | Q8 | — | 16 | 12 | no | — |
| 805 | Q8 | #2631 | 1 | 16 | yes | — |
| 806 | D4 | — | 2 | 8 | no | — |
| 807 | D4 | — | 2 | 8 | no | — |
| 808 | D4 | — | 4 | 48 | no | — |
| 809 | D4 | — | 4 | 8 | no | — |
| 810 | D4 | — | 4 | 8 | no | — |
| 811 | D4 | — | 4 | 24 | no | — |
| 812 | D4 | — | 4 | 6 | no | — |
| 813 | D4 | — | 4 | 6 | no | — |
| 814 | D4 | — | 4 | 6 | no | — |
| 815 | D4 | — | 4 | 6 | no | — |
| 816 | D4 | — | 8 | 12 | no | — |
| 817 | D4 | — | 8 | 12 | no | — |
| 818 | D4 | — | 8 | 24 | no | — |
| 819 | D4 | — | 8 | 24 | no | — |
| 820 | D4 | — | 16 | 24 | no | — |
| 821 | D4 | — | 16 | 48 | no | — |
| 822 | D4 | #2631 | 1 | 48 | yes | — |
| 823 | C2×C4 | — | 2 | 1 | no | — |
| 824 | C2×C4 | — | 2 | 8 | no | — |
| 825 | C2×C4 | — | 2 | 1 | no | — |
| 826 | C2×C4 | — | 2 | 6 | no | — |
| 827 | C2×C4 | — | 4 | 2 | no | — |
| 828 | C2×C4 | — | 4 | 12 | no | — |
| 829 | C2×C4 | — | 4 | 24 | no | — |
| 830 | C2×C4 | — | 4 | 48 | no | — |
| 831 | C2×C4 | — | 4 | 8 | no | — |
| 832 | C2×C4 | — | 4 | 8 | no | — |
| 833 | C2×C4 | — | 4 | 8 | no | — |
| 834 | C2×C4 | — | 4 | 2 | no | — |
| 835 | C2×C4 | — | 4 | 2 | no | — |
| 836 | C2×C4 | — | 4 | 8 | no | — |
| 837 | C2×C4 | — | 4 | 2 | no | — |
| 838 | C2×C4 | — | 8 | 6 | no | — |
| 839 | C2×C4 | — | 8 | 3 | no | — |
| 840 | C2×C4 | — | 8 | 24 | no | — |
| 841 | C2×C4 | — | 16 | 12 | no | — |
| 842 | C2×C4 | — | 16 | 12 | no | — |
| 843 | C2×C4 | C2×#525 | 1 | 12 | yes | — |
| 844 | C2×C4 | C2×#535 | 1 | 6 | yes | — |
| 845 | C2×C4 | C2×#535 | 1 | 12 | yes | — |
| 846 | C2×C4 | C2×#538 | 1 | 12 | yes | — |
| 847 | C2×C4 | C2×#538 | 1 | 24 | yes | — |
| 848 | C2×C4 | C24×D4 | 1 | 1 | yes | characteristic |
| 849 | C2×C4 | C23×#41 | 1 | 2 | yes | — |
| 850 | C2×C4 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 851 | C2×C4 | C22×H(5,𝔽2) | 1 | 2 | yes | — |
| 852 | C8 | — | 2 | 8 | no | — |
| 853 | C8 | — | 2 | 8 | no | — |
| 854 | C8 | — | 4 | 8 | no | — |
| 855 | C8 | — | 4 | 8 | no | — |
| 856 | C22 | — | 4 | 1 | no | — |
| 857 | C22 | — | 4 | 6 | no | — |
| 858 | C22 | — | 4 | 12 | no | — |
| 859 | C22 | — | 4 | 8 | no | — |
| 860 | C22 | — | 8 | 8 | no | — |
| 861 | C22 | — | 8 | 12 | no | — |
| 862 | C22 | — | 8 | 12 | no | — |
| 863 | C22 | — | 8 | 6 | no | — |
| 864 | C22 | — | 16 | 24 | no | — |
| 865 | C22 | — | 16 | 6 | no | — |
| 866 | C22 | — | 32 | 24 | no | — |
| 867 | C22 | C2×#2631 | 1 | 12 | yes | — |
| 868 | C22 | C22×#538 | 1 | 2 | yes | — |
| 869 | C22 | C22×#535 | 1 | 1 | yes | characteristic |
| 870 | C4 | — | 2 | 2 | no | — |
| 871 | C4 | — | 4 | 1 | no | — |
| 872 | C4 | — | 4 | 6 | no | — |
| 873 | C4 | — | 4 | 8 | no | — |
| 874 | C4 | — | 8 | 8 | no | — |
| 875 | C4 | — | 8 | 8 | no | — |
| 876 | C4 | — | 8 | 2 | no | — |
| 877 | C4 | C2×#2631 | 1 | 12 | yes | — |
| 878 | C4 | C22×#525 | 1 | 1 | yes | characteristic |
| 879 | C4 | C22×#538 | 1 | 2 | yes | — |
| 880 | C4 | C22×#535 | 1 | 1 | yes | characteristic |
| 881 | C2 | — | 2 | 1 | no | — |
| 882 | C2 | — | 2 | 2 | no | — |
| 883 | C2 | — | 2 | 12 | no | — |
| 884 | C2 | — | 8 | 8 | no | — |
| 885 | C2 | — | 16 | 6 | no | — |
| 886 | C2 | C22×#2631 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | C22×#2631 |
| commutator, Frattini, cosocle | C22×C4 | C26 |
| LCS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×#41 ◁ G | |
| LECS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10575219 | C2 | semidirect |
| 2. #10574173 | C2 | semidirect |
| 3. #6434130 | C2 | semidirect |
| 4. #6434129 | C2 | semidirect |
| 5. C2×#30057 | C2 | semidirect |
| 6. #6432197 | C2 | semidirect |
| 7. #6431843 | C2 | semidirect |
| 8. #6431739 | C2 | semidirect |
| 9. #6431723 | C2 | semidirect |
| 10. #6371543 | C2 | semidirect |
| 11. #6371521 | C2 | semidirect |
| 12. #6371071 | C2 | semidirect |
| 21. #60619 | C22 | semidirect |
| 22. #60618 | C22 | semidirect |
| 23. C2×#3138 | C22 | semidirect |
| 26. #60182 | C22 | semidirect |
| 27. C2×#2956 | C22 | semidirect |
| 37. #30058 | C22 | semidirect |
| 38. #30057 | C22 | semidirect |
| 39. #30057 | C22 | semidirect |
| 40. #30056 | C22 | semidirect |
| 41. #23652 | C22 | semidirect |
| 42. C2×#2081 | C22 | semidirect |
| 43. #23472 | C22 | semidirect |
| 44. C2×#2031 | C22 | semidirect |
| 45. #23412 | C22 | semidirect |
| 46. C2×#2008 | C22 | semidirect |
| 47. #23402 | C22 | semidirect |
| 48. #23400 | C22 | semidirect |
| 49. #23399 | C22 | semidirect |
| 50. C2×#2002 | C22 | semidirect |
| 51. #21009 | C22 | semidirect |
| 52. C2×#1910 | C22 | semidirect |
| 53. #20995 | C22 | semidirect |
| 54. C2×#1903 | C22 | semidirect |
| 55. #20776 | C22 | semidirect |
| 56. C2×#1841 | C22 | semidirect |
| 153. #2875 | D4 | semidirect |
| 154. C4×#131 | D4 | semidirect |
| 375. #405 | C2×D4 | semidirect |
| 376. #405 | C2×D4 | semidirect |
| 377. C4×M16 | C2×D4 | semidirect |
| 378. C4×M16 | C2×D4 | semidirect |
| 381. C2×#97 | C2×D4 | semidirect |
| 382. C2×C4×C8 | C2×D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10575219 | 2 |
| #10574173 | 2 |
| #6434130 | 2 |
| #6434129 | 2 |
| C2×#30057 | 2 |
| #6432197 | 2 |
| #6431843 | 2 |
| #6431739 | 2 |
| #6431723 | 2 |
| #6371543 | 2 |
| #6371521 | 2 |
| #6371071 | 2 |