Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
2254 conjugacy classes of subgroups.
The subgroup lattice has 723 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #7623522 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #6344789 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #483989 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #483958 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #483927 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #483926 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #483881 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #483880 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #483445 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #481387 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #479966 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #60673 | C22 | 1 | 2 | yes | — |
| 13 | #60204 | — | 2 | 2 | no | — |
| 14 | #33821 | C4 | 1 | 1 | yes | characteristic |
| 15 | #33820 | C4 | 1 | 2 | yes | — |
| 16 | #33819 | C4 | 1 | 1 | yes | characteristic |
| 17 | #33799 | C4 | 1 | 4 | yes | — |
| 18 | #33778 | C4 | 1 | 4 | yes | — |
| 19 | #33763 | C4 | 1 | 4 | yes | — |
| 20 | #33750 | C22 | 1 | 4 | yes | — |
| 21 | #33676 | C22 | 1 | 4 | yes | — |
| 22 | #33675 | C22 | 1 | 4 | yes | — |
| 23 | #33418 | C22 | 1 | 1 | yes | characteristic |
| 24 | #33418 | C22 | 1 | 1 | yes | characteristic |
| 25 | #17963 | — | 2 | 2 | no | — |
| 26 | #17963 | — | 2 | 2 | no | — |
| 27 | #17963 | C22 | 1 | 4 | yes | — |
| 28 | #17963 | C22 | 1 | 4 | yes | — |
| 29 | #17962 | C22 | 1 | 2 | yes | — |
| 30 | #17962 | C22 | 1 | 2 | yes | — |
| 31 | #17961 | C22 | 1 | 2 | yes | — |
| 32 | #17961 | C22 | 1 | 2 | yes | — |
| 33 | #17960 | — | 2 | 2 | no | — |
| 34 | #17960 | — | 2 | 2 | no | — |
| 35 | #17890 | — | 2 | 2 | no | — |
| 36 | #17890 | C22 | 1 | 4 | yes | — |
| 37 | #17849 | — | 2 | 2 | no | — |
| 38 | #17849 | C22 | 1 | 4 | yes | — |
| 39 | #17793 | C22 | 1 | 2 | yes | — |
| 40 | #17473 | — | 2 | 2 | no | — |
| 41 | C22×#322 | C22 | 1 | 1 | yes | characteristic |
| 42 | #12089 | C22 | 1 | 4 | yes | complemented |
| 43 | #12088 | C22 | 1 | 4 | yes | complemented |
| 44 | #12087 | C22 | 1 | 8 | yes | complemented |
| 45 | #12080 | C22 | 1 | 8 | yes | complemented |
| 46 | #12079 | C22 | 1 | 8 | yes | complemented |
| 47 | #12078 | C22 | 1 | 8 | yes | complemented |
| 48 | #12077 | C22 | 1 | 8 | yes | complemented |
| 49 | #12067 | C22 | 1 | 4 | yes | complemented |
| 50 | #12066 | C22 | 1 | 4 | yes | complemented |
| 51 | #12065 | C22 | 1 | 8 | yes | complemented |
| 52 | #12029 | C22 | 1 | 4 | yes | — |
| 53 | #12029 | C22 | 1 | 4 | yes | — |
| 54 | #12021 | C22 | 1 | 4 | yes | — |
| 55 | #11682 | C22 | 1 | 8 | yes | — |
| 56 | #11666 | C22 | 1 | 4 | yes | — |
| 57 | #11666 | C22 | 1 | 4 | yes | — |
| 58 | #11653 | C22 | 1 | 4 | yes | — |
| 59 | #11652 | C22 | 1 | 4 | yes | — |
| 60 | #11415 | C22 | 1 | 4 | yes | — |
| 61 | #11415 | C22 | 1 | 4 | yes | — |
| 62 | #11404 | C22 | 1 | 2 | yes | — |
| 63 | #11404 | C22 | 1 | 2 | yes | — |
| 64 | #3444 | — | 2 | 2 | no | — |
| 65 | #3170 | C2×C4 | 1 | 2 | yes | — |
| 66 | #3170 | C23 | 1 | 2 | yes | — |
| 67 | #3169 | C2×C4 | 1 | 2 | yes | — |
| 68 | #3169 | C23 | 1 | 2 | yes | — |
| 69 | #3168 | — | 2 | 2 | no | — |
| 70 | #3168 | — | 2 | 2 | no | — |
| 71 | #3168 | C2×C4 | 1 | 4 | yes | — |
| 72 | #3168 | C23 | 1 | 4 | yes | — |
| 73 | #3167 | — | 2 | 2 | no | — |
| 74 | #3167 | — | 2 | 2 | no | — |
| 75 | #3160 | C2×C4 | 1 | 2 | yes | — |
| 76 | #3147 | C2×C4 | 1 | 2 | yes | — |
| 77 | #3131 | — | 2 | 2 | no | — |
| 78 | #3050 | — | 2 | 2 | no | — |
| 79 | #3050 | C2×C4 | 1 | 4 | yes | — |
| 80 | #2966 | — | 2 | 4 | no | — |
| 81 | #2966 | — | 2 | 4 | no | — |
| 82 | #2966 | — | 4 | 2 | no | — |
| 83 | #2966 | — | 4 | 2 | no | — |
| 84 | #2965 | — | 2 | 4 | no | — |
| 85 | #2965 | — | 4 | 2 | no | — |
| 86 | C8×#41 | — | 2 | 4 | no | — |
| 87 | C8×#41 | — | 4 | 2 | no | — |
| 88 | #2960 | — | 2 | 2 | no | — |
| 89 | #2960 | — | 2 | 2 | no | — |
| 90 | C4×#135 | — | 2 | 2 | no | — |
| 91 | C4×#135 | C23 | 1 | 4 | yes | — |
| 92 | #2931 | — | 2 | 2 | no | — |
| 93 | #2931 | — | 2 | 2 | no | — |
| 94 | #2929 | — | 4 | 2 | no | — |
| 95 | #2929 | — | 4 | 2 | no | — |
| 96 | #2922 | — | 4 | 2 | no | — |
| 97 | #2920 | — | 2 | 2 | no | — |
| 98 | C4×#131 | — | 4 | 2 | no | — |
| 99 | C22×C4×C8 | D4 | 1 | 2 | yes | — |
| 100 | C22×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 101 | #2253 | C2×C4 | 1 | 4 | yes | — |
| 102 | #2249 | C2×C4 | 1 | 4 | yes | — |
| 103 | #2242 | C2×C4 | 1 | 8 | yes | — |
| 104 | #2237 | C2×C4 | 1 | 8 | yes | — |
| 105 | #2234 | C2×C4 | 1 | 8 | yes | — |
| 106 | #2227 | C2×C4 | 1 | 4 | yes | — |
| 107 | #2226 | C2×C4 | 1 | 4 | yes | — |
| 108 | #2225 | C2×C4 | 1 | 4 | yes | — |
| 109 | #2224 | C2×C4 | 1 | 4 | yes | — |
| 110 | #2220 | C2×C4 | 1 | 8 | yes | — |
| 111 | #2219 | C2×C4 | 1 | 4 | yes | — |
| 112 | #2218 | C2×C4 | 1 | 4 | yes | — |
| 113 | #2209 | C2×C4 | 1 | 4 | yes | — |
| 114 | #2208 | C2×C4 | 1 | 4 | yes | — |
| 115 | #2207 | C2×C4 | 1 | 4 | yes | — |
| 116 | #2206 | C2×C4 | 1 | 4 | yes | — |
| 117 | #2189 | C2×C4 | 1 | 8 | yes | — |
| 118 | #2186 | C2×C4 | 1 | 8 | yes | — |
| 119 | #2177 | C23 | 1 | 4 | yes | — |
| 120 | #2176 | C23 | 1 | 4 | yes | — |
| 121 | #2175 | C23 | 1 | 8 | yes | — |
| 122 | #2163 | C23 | 1 | 4 | yes | — |
| 123 | #2163 | C23 | 1 | 4 | yes | — |
| 124 | #2162 | — | 2 | 2 | no | — |
| 125 | #2162 | C2×C4 | 1 | 4 | yes | — |
| 126 | #2150 | — | 2 | 1 | no | — |
| 127 | #2150 | C2×C4 | 1 | 1 | yes | characteristic |
| 128 | #2150 | C2×C4 | 1 | 1 | yes | characteristic |
| 129 | #2112 | — | 2 | 1 | no | — |
| 130 | #2112 | C2×C4 | 1 | 2 | yes | — |
| 131 | C4×M32 | C23 | 1 | 2 | yes | — |
| 132 | C4×M32 | C23 | 1 | 2 | yes | — |
| 133 | #1594 | — | 2 | 2 | no | — |
| 134 | #1594 | — | 2 | 2 | no | — |
| 135 | #1594 | C23 | 1 | 4 | yes | — |
| 136 | #1594 | C23 | 1 | 4 | yes | — |
| 137 | #1593 | — | 2 | 2 | no | — |
| 138 | #1593 | — | 2 | 2 | no | — |
| 139 | #1593 | C23 | 1 | 4 | yes | — |
| 140 | #1593 | C23 | 1 | 4 | yes | — |
| 141 | #1592 | — | 2 | 4 | no | — |
| 142 | #1592 | — | 2 | 4 | no | — |
| 143 | #1592 | — | 2 | 4 | no | — |
| 144 | #1592 | — | 2 | 4 | no | — |
| 145 | #1580 | — | 2 | 2 | no | — |
| 146 | #1580 | — | 2 | 2 | no | — |
| 147 | #1580 | C23 | 1 | 4 | yes | — |
| 148 | #1580 | C23 | 1 | 4 | yes | — |
| 149 | #1579 | — | 2 | 2 | no | — |
| 150 | #1579 | — | 2 | 2 | no | — |
| 151 | #1579 | C23 | 1 | 4 | yes | — |
| 152 | #1579 | C23 | 1 | 4 | yes | — |
| 153 | SD16⋊C8 | — | 2 | 4 | no | — |
| 154 | SD16⋊C8 | — | 2 | 4 | no | — |
| 155 | SD16⋊C8 | — | 2 | 4 | no | — |
| 156 | SD16⋊C8 | — | 2 | 4 | no | — |
| 157 | #1568 | — | 2 | 2 | no | — |
| 158 | #1568 | C23 | 1 | 4 | yes | — |
| 159 | #1567 | — | 2 | 2 | no | — |
| 160 | #1566 | C23 | 1 | 2 | yes | — |
| 161 | #1566 | C23 | 1 | 2 | yes | — |
| 162 | #1564 | — | 2 | 2 | no | — |
| 163 | #1564 | C23 | 1 | 4 | yes | — |
| 164 | #1494 | — | 2 | 4 | no | — |
| 165 | #1494 | — | 2 | 4 | no | — |
| 166 | #1493 | — | 2 | 2 | no | — |
| 167 | #1493 | — | 2 | 2 | no | — |
| 168 | #1492 | — | 2 | 2 | no | — |
| 169 | #1492 | — | 2 | 2 | no | — |
| 170 | #1476 | — | 2 | 4 | no | — |
| 171 | #1476 | — | 2 | 4 | no | — |
| 172 | C2×#322 | D4 | 1 | 2 | yes | — |
| 173 | C2×#322 | D4 | 1 | 2 | yes | — |
| 174 | C2×#322 | D4 | 1 | 2 | yes | — |
| 175 | C2×#322 | C23 | 1 | 2 | yes | — |
| 176 | C2×#322 | C23 | 1 | 2 | yes | — |
| 177 | C2×#322 | C23 | 1 | 1 | yes | characteristic |
| 178 | C2×#322 | C23 | 1 | 1 | yes | characteristic |
| 179 | #1368 | C23 | 1 | 8 | yes | — |
| 180 | #1368 | C23 | 1 | 4 | yes | — |
| 181 | #1368 | C23 | 1 | 4 | yes | — |
| 182 | #1334 | C23 | 1 | 8 | yes | — |
| 183 | #1334 | C23 | 1 | 8 | yes | — |
| 184 | #1333 | C23 | 1 | 8 | yes | — |
| 185 | #1333 | C23 | 1 | 8 | yes | — |
| 186 | #1313 | C23 | 1 | 4 | yes | — |
| 187 | #1313 | C23 | 1 | 8 | yes | — |
| 188 | #1313 | C23 | 1 | 4 | yes | — |
| 189 | C2×#135 | — | 2 | 2 | no | — |
| 190 | C2×#135 | C22×C4 | 1 | 4 | yes | — |
| 191 | C2×#131 | — | 4 | 2 | no | — |
| 192 | C2×#131 | — | 4 | 2 | no | — |
| 193 | C23×C8 | — | 2 | 2 | no | — |
| 194 | C23×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 195 | C23×C8 | #41 | 1 | 1 | yes | characteristic |
| 196 | #533 | — | 2 | 2 | no | — |
| 197 | #533 | — | 2 | 2 | no | — |
| 198 | #533 | — | 2 | 2 | no | — |
| 199 | #532 | — | 2 | 2 | no | — |
| 200 | #532 | — | 2 | 2 | no | — |
| 201 | #532 | — | 2 | 2 | no | — |
| 202 | #529 | — | 2 | 4 | no | — |
| 203 | #529 | — | 2 | 4 | no | — |
| 204 | #529 | — | 4 | 2 | no | — |
| 205 | #529 | — | 4 | 2 | no | — |
| 206 | #529 | — | 4 | 2 | no | — |
| 207 | #529 | — | 4 | 2 | no | — |
| 208 | #525 | — | 2 | 4 | no | — |
| 209 | #525 | — | 4 | 2 | no | — |
| 210 | #525 | — | 4 | 2 | no | — |
| 211 | C4×#41 | — | 2 | 4 | no | — |
| 212 | C4×#41 | — | 4 | 2 | no | — |
| 213 | C4×#41 | — | 4 | 2 | no | — |
| 214 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×Q32 | C22×C4 | 1 | 4 | yes | — |
| 216 | C2×SD32 | C22×C4 | 1 | 8 | yes | — |
| 217 | C2×D16 | C22×C4 | 1 | 4 | yes | — |
| 218 | C2×M32 | — | 2 | 2 | no | — |
| 219 | C2×M32 | C22×C4 | 1 | 2 | yes | — |
| 220 | C2×M32 | C22×C4 | 1 | 2 | yes | — |
| 221 | #500 | C22×C4 | 1 | 2 | yes | — |
| 222 | #500 | C22×C4 | 1 | 2 | yes | — |
| 223 | #499 | — | 2 | 2 | no | — |
| 224 | #499 | C22×C4 | 1 | 4 | yes | — |
| 225 | #498 | — | 2 | 2 | no | — |
| 226 | #495 | — | 2 | 2 | no | — |
| 227 | #495 | C22×C4 | 1 | 4 | yes | — |
| 228 | #494 | C22×C4 | 1 | 2 | yes | — |
| 229 | #493 | C22×C4 | 1 | 2 | yes | — |
| 230 | #492 | — | 2 | 2 | no | — |
| 231 | #488 | — | 2 | 4 | no | — |
| 232 | #488 | — | 2 | 4 | no | — |
| 233 | #487 | — | 2 | 2 | no | — |
| 234 | #487 | — | 2 | 2 | no | — |
| 235 | #486 | — | 2 | 2 | no | — |
| 236 | #486 | — | 2 | 2 | no | — |
| 237 | #467 | — | 2 | 2 | no | — |
| 238 | #467 | — | 2 | 2 | no | — |
| 239 | #467 | C22×C4 | 1 | 4 | yes | — |
| 240 | #467 | C22×C4 | 1 | 4 | yes | — |
| 241 | #466 | — | 2 | 2 | no | — |
| 242 | #466 | — | 2 | 2 | no | — |
| 243 | #466 | C22×C4 | 1 | 4 | yes | — |
| 244 | #466 | C22×C4 | 1 | 4 | yes | — |
| 245 | #465 | — | 2 | 4 | no | — |
| 246 | #465 | — | 2 | 4 | no | — |
| 247 | #465 | — | 2 | 4 | no | — |
| 248 | #465 | — | 2 | 4 | no | — |
| 249 | #446 | — | 2 | 4 | no | — |
| 250 | #446 | — | 2 | 4 | no | — |
| 251 | #446 | — | 4 | 2 | no | — |
| 252 | #446 | — | 4 | 2 | no | — |
| 253 | C8×Q8 | — | 2 | 4 | no | — |
| 254 | C8×Q8 | — | 2 | 4 | no | — |
| 255 | C8×Q8 | — | 4 | 2 | no | — |
| 256 | C8×Q8 | — | 4 | 2 | no | — |
| 257 | C4×Q16 | — | 2 | 2 | no | — |
| 258 | C4×Q16 | — | 2 | 2 | no | — |
| 259 | C4×Q16 | C22×C4 | 1 | 4 | yes | — |
| 260 | C4×Q16 | C24 | 1 | 4 | yes | — |
| 261 | C4×SD16 | — | 2 | 4 | no | — |
| 262 | C4×SD16 | — | 2 | 4 | no | — |
| 263 | C4×SD16 | — | 2 | 4 | no | — |
| 264 | C4×SD16 | — | 2 | 4 | no | — |
| 265 | C4×D8 | — | 2 | 2 | no | — |
| 266 | C4×D8 | — | 2 | 2 | no | — |
| 267 | C4×D8 | C22×C4 | 1 | 4 | yes | — |
| 268 | C4×D8 | C24 | 1 | 4 | yes | — |
| 269 | #436 | — | 2 | 4 | no | — |
| 270 | #436 | — | 2 | 4 | no | — |
| 271 | #436 | — | 4 | 2 | no | — |
| 272 | #436 | — | 4 | 2 | no | — |
| 273 | #435 | — | 4 | 4 | no | — |
| 274 | #435 | — | 4 | 4 | no | — |
| 275 | #435 | — | 4 | 4 | no | — |
| 276 | #435 | — | 4 | 4 | no | — |
| 277 | C8×D4 | — | 2 | 4 | no | — |
| 278 | C8×D4 | — | 2 | 4 | no | — |
| 279 | C8×D4 | — | 4 | 2 | no | — |
| 280 | C8×D4 | — | 4 | 2 | no | — |
| 281 | C8×D4 | — | 4 | 4 | no | — |
| 282 | C8×D4 | — | 4 | 4 | no | — |
| 283 | C8×D4 | — | 4 | 4 | no | — |
| 284 | C8×D4 | — | 4 | 4 | no | — |
| 285 | #433 | — | 4 | 4 | no | — |
| 286 | #433 | — | 4 | 4 | no | — |
| 287 | #432 | — | 2 | 4 | no | — |
| 288 | #432 | — | 4 | 2 | no | — |
| 289 | #431 | — | 2 | 4 | no | — |
| 290 | #431 | — | 4 | 4 | no | — |
| 291 | #431 | — | 4 | 4 | no | — |
| 292 | #431 | — | 4 | 2 | no | — |
| 293 | #427 | — | 2 | 2 | no | — |
| 294 | #427 | C22×C4 | 1 | 4 | yes | — |
| 295 | #424 | — | 4 | 2 | no | — |
| 296 | #424 | — | 4 | 2 | no | — |
| 297 | #423 | — | 2 | 2 | no | — |
| 298 | #423 | — | 2 | 2 | no | — |
| 299 | #416 | — | 2 | 4 | no | — |
| 300 | #416 | — | 2 | 4 | no | — |
| 301 | #408 | — | 4 | 2 | no | — |
| 302 | #408 | — | 4 | 2 | no | — |
| 303 | #407 | — | 4 | 2 | no | — |
| 304 | #405 | — | 4 | 4 | no | — |
| 305 | #405 | — | 4 | 4 | no | — |
| 306 | #405 | — | 4 | 2 | no | — |
| 307 | #405 | — | 4 | 2 | no | — |
| 308 | C4×M16 | — | 4 | 4 | no | — |
| 309 | C4×M16 | — | 4 | 2 | no | — |
| 310 | C2×C4×C8 | — | 2 | 2 | no | — |
| 311 | C2×C4×C8 | — | 2 | 2 | no | — |
| 312 | C2×C4×C8 | — | 2 | 2 | no | — |
| 313 | C2×C4×C8 | — | 4 | 4 | no | — |
| 314 | C2×C4×C8 | C22×C4 | 1 | 2 | yes | — |
| 315 | C2×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 316 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 317 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 318 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 319 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 320 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 321 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 322 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 323 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×C4×C8 | #41 | 1 | 2 | yes | — |
| 325 | C2×C4×C8 | #41 | 1 | 1 | yes | characteristic |
| 326 | C2×C4×C8 | C24 | 1 | 2 | yes | — |
| 327 | C2×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 328 | #367 | C22×C4 | 1 | 4 | yes | — |
| 329 | #367 | C22×C4 | 1 | 4 | yes | — |
| 330 | #366 | C22×C4 | 1 | 8 | yes | — |
| 331 | C4⋊C16 | — | 2 | 4 | no | — |
| 332 | C4⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 333 | C4⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 334 | #358 | C22×C4 | 1 | 8 | yes | — |
| 335 | #358 | C22×C4 | 1 | 8 | yes | — |
| 336 | #357 | C22×C4 | 1 | 8 | yes | — |
| 337 | #357 | C22×C4 | 1 | 8 | yes | — |
| 338 | C22⋊C16 | — | 2 | 4 | no | — |
| 339 | C22⋊C16 | C22×C4 | 1 | 8 | yes | — |
| 340 | #346 | C24 | 1 | 4 | yes | — |
| 341 | #346 | C24 | 1 | 4 | yes | — |
| 342 | C4×C16 | — | 2 | 2 | no | — |
| 343 | C4×C16 | C22×C4 | 1 | 4 | yes | — |
| 344 | #335 | — | 2 | 4 | no | — |
| 345 | #335 | — | 2 | 4 | no | — |
| 346 | #334 | — | 2 | 2 | no | — |
| 347 | #334 | — | 2 | 2 | no | — |
| 348 | #334 | C24 | 1 | 4 | yes | — |
| 349 | #334 | C24 | 1 | 4 | yes | — |
| 350 | Q8⋊C8 | — | 2 | 4 | no | — |
| 351 | Q8⋊C8 | — | 2 | 4 | no | — |
| 352 | Q8⋊C8 | — | 2 | 4 | no | — |
| 353 | Q8⋊C8 | — | 2 | 4 | no | — |
| 354 | D4⋊C8 | — | 2 | 4 | no | — |
| 355 | D4⋊C8 | — | 2 | 4 | no | — |
| 356 | D4⋊C8 | — | 2 | 4 | no | — |
| 357 | D4⋊C8 | — | 2 | 4 | no | — |
| 358 | #322 | C2×D4 | 1 | 1 | yes | characteristic |
| 359 | #322 | C2×D4 | 1 | 2 | yes | — |
| 360 | #322 | C2×D4 | 1 | 2 | yes | — |
| 361 | #322 | C2×D4 | 1 | 2 | yes | — |
| 362 | #322 | C2×D4 | 1 | 2 | yes | — |
| 363 | #322 | C2×D4 | 1 | 1 | yes | characteristic |
| 364 | #322 | C2×D4 | 1 | 2 | yes | — |
| 365 | #322 | C24 | 1 | 1 | yes | characteristic |
| 366 | #322 | C24 | 1 | 2 | yes | — |
| 367 | #322 | C24 | 1 | 1 | yes | characteristic |
| 368 | C2×#41 | — | 2 | 4 | no | — |
| 369 | C2×#41 | — | 4 | 2 | no | — |
| 370 | C2×#41 | — | 4 | 2 | no | — |
| 371 | C23×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 372 | C23×C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 373 | #135 | — | 4 | 4 | no | — |
| 374 | #135 | — | 4 | 4 | no | — |
| 375 | #135 | — | 4 | 8 | no | — |
| 376 | C2×Q16 | — | 2 | 2 | no | — |
| 377 | C2×Q16 | C23×C4 | 1 | 4 | yes | — |
| 378 | C2×SD16 | — | 2 | 4 | no | — |
| 379 | C2×SD16 | — | 2 | 4 | no | — |
| 380 | C2×D8 | — | 2 | 2 | no | — |
| 381 | C2×D8 | C23×C4 | 1 | 4 | yes | — |
| 382 | #131 | — | 8 | 8 | no | — |
| 383 | #131 | — | 8 | 8 | no | — |
| 384 | C2×M16 | — | 4 | 4 | no | — |
| 385 | C2×M16 | — | 4 | 4 | no | — |
| 386 | C2×M16 | — | 4 | 2 | no | — |
| 387 | C2×M16 | — | 4 | 2 | no | — |
| 388 | C22×C8 | — | 2 | 2 | no | — |
| 389 | C22×C8 | — | 2 | 2 | no | — |
| 390 | C22×C8 | — | 2 | 2 | no | — |
| 391 | C22×C8 | — | 2 | 2 | no | — |
| 392 | C22×C8 | — | 2 | 2 | no | — |
| 393 | C22×C8 | — | 2 | 2 | no | — |
| 394 | C22×C8 | — | 4 | 1 | no | — |
| 395 | C22×C8 | — | 4 | 1 | no | — |
| 396 | C22×C8 | — | 4 | 2 | no | — |
| 397 | C22×C8 | — | 4 | 4 | no | — |
| 398 | C22×C8 | — | 4 | 4 | no | — |
| 399 | C22×C8 | — | 8 | 4 | no | — |
| 400 | C22×C8 | C4×D4 | 1 | 2 | yes | — |
| 401 | C22×C8 | C4×D4 | 1 | 2 | yes | — |
| 402 | C22×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 403 | C22×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 404 | C22×C8 | C23×C4 | 1 | 2 | yes | — |
| 405 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 406 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 407 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 408 | C4⋊Q8 | — | 2 | 2 | no | — |
| 409 | C4⋊Q8 | — | 2 | 2 | no | — |
| 410 | C4⋊Q8 | — | 2 | 2 | no | — |
| 411 | #127 | — | 2 | 2 | no | — |
| 412 | #126 | — | 4 | 4 | no | — |
| 413 | #126 | — | 4 | 4 | no | — |
| 414 | #125 | — | 2 | 4 | no | — |
| 415 | #125 | — | 4 | 2 | no | — |
| 416 | #125 | — | 4 | 2 | no | — |
| 417 | #124 | — | 2 | 4 | no | — |
| 418 | #124 | — | 4 | 2 | no | — |
| 419 | #124 | — | 4 | 2 | no | — |
| 420 | #123 | — | 4 | 4 | no | — |
| 421 | #123 | — | 4 | 4 | no | — |
| 422 | #123 | — | 4 | 4 | no | — |
| 423 | C22⋊Q8 | — | 2 | 4 | no | — |
| 424 | C22⋊Q8 | — | 2 | 4 | no | — |
| 425 | C22⋊Q8 | — | 4 | 2 | no | — |
| 426 | C22⋊Q8 | — | 4 | 2 | no | — |
| 427 | C22⋊Q8 | — | 4 | 2 | no | — |
| 428 | C22⋊Q8 | — | 4 | 2 | no | — |
| 429 | #121 | — | 2 | 4 | no | — |
| 430 | #121 | — | 2 | 4 | no | — |
| 431 | #121 | — | 4 | 2 | no | — |
| 432 | #121 | — | 4 | 2 | no | — |
| 433 | #121 | — | 4 | 2 | no | — |
| 434 | #121 | — | 4 | 2 | no | — |
| 435 | #120 | — | 4 | 4 | no | — |
| 436 | C4×Q8 | — | 2 | 4 | no | — |
| 437 | C4×Q8 | — | 2 | 4 | no | — |
| 438 | C4×Q8 | — | 4 | 2 | no | — |
| 439 | C4×Q8 | — | 4 | 2 | no | — |
| 440 | C4×Q8 | — | 4 | 2 | no | — |
| 441 | C4×Q8 | — | 4 | 2 | no | — |
| 442 | C4×D4 | — | 2 | 4 | no | — |
| 443 | C4×D4 | — | 2 | 4 | no | — |
| 444 | C4×D4 | — | 4 | 4 | no | — |
| 445 | C4×D4 | — | 4 | 4 | no | — |
| 446 | C4×D4 | — | 4 | 4 | no | — |
| 447 | C4×D4 | — | 4 | 4 | no | — |
| 448 | C4×D4 | — | 4 | 4 | no | — |
| 449 | C4×D4 | — | 4 | 4 | no | — |
| 450 | C4×D4 | — | 4 | 2 | no | — |
| 451 | C4×D4 | — | 4 | 2 | no | — |
| 452 | C4×D4 | — | 4 | 2 | no | — |
| 453 | C4×D4 | — | 4 | 2 | no | — |
| 454 | #117 | — | 2 | 4 | no | — |
| 455 | #117 | — | 4 | 2 | no | — |
| 456 | #117 | — | 4 | 2 | no | — |
| 457 | #117 | — | 4 | 4 | no | — |
| 458 | #117 | — | 4 | 4 | no | — |
| 459 | #117 | — | 4 | 4 | no | — |
| 460 | C2×C42 | — | 4 | 4 | no | — |
| 461 | C2×C42 | C4×D4 | 1 | 2 | yes | — |
| 462 | C2×C42 | C4×D4 | 1 | 1 | yes | characteristic |
| 463 | C2×C42 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 464 | C2×C42 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 465 | C2×C42 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 466 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 467 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 468 | Q32 | — | 4 | 4 | no | — |
| 469 | SD32 | — | 4 | 8 | no | — |
| 470 | D16 | — | 4 | 4 | no | — |
| 471 | M32 | — | 4 | 2 | no | — |
| 472 | M32 | — | 4 | 2 | no | — |
| 473 | M32 | — | 4 | 4 | no | — |
| 474 | C2×C16 | — | 2 | 4 | no | — |
| 475 | C2×C16 | C23×C4 | 1 | 4 | yes | — |
| 476 | C2×C16 | C23×C4 | 1 | 4 | yes | — |
| 477 | #107 | — | 2 | 2 | no | — |
| 478 | #107 | — | 2 | 2 | no | — |
| 479 | #107 | C23×C4 | 1 | 4 | yes | — |
| 480 | #107 | C23×C4 | 1 | 4 | yes | — |
| 481 | #106 | — | 2 | 4 | no | — |
| 482 | #106 | — | 2 | 4 | no | — |
| 483 | C4⋊C8 | — | 2 | 4 | no | — |
| 484 | C4⋊C8 | — | 2 | 4 | no | — |
| 485 | C4⋊C8 | — | 4 | 4 | no | — |
| 486 | C4⋊C8 | — | 4 | 4 | no | — |
| 487 | C4⋊C8 | — | 4 | 4 | no | — |
| 488 | C4⋊C8 | — | 4 | 4 | no | — |
| 489 | C4⋊C8 | — | 4 | 2 | no | — |
| 490 | C4⋊C8 | — | 4 | 2 | no | — |
| 491 | #103 | — | 2 | 4 | no | — |
| 492 | #103 | — | 2 | 4 | no | — |
| 493 | #103 | — | 2 | 4 | no | — |
| 494 | #103 | — | 2 | 4 | no | — |
| 495 | #102 | — | 2 | 4 | no | — |
| 496 | #102 | — | 2 | 4 | no | — |
| 497 | #102 | — | 2 | 4 | no | — |
| 498 | #102 | — | 2 | 4 | no | — |
| 499 | C22⋊C8 | — | 4 | 4 | no | — |
| 500 | C22⋊C8 | — | 4 | 4 | no | — |
| 501 | C22⋊C8 | — | 4 | 4 | no | — |
| 502 | C22⋊C8 | — | 4 | 4 | no | — |
| 503 | C22⋊C8 | — | 4 | 4 | no | — |
| 504 | C22⋊C8 | — | 4 | 4 | no | — |
| 505 | #97 | — | 4 | 4 | no | — |
| 506 | #97 | — | 4 | 4 | no | — |
| 507 | #97 | — | 4 | 4 | no | — |
| 508 | C4×C8 | — | 2 | 2 | no | — |
| 509 | C4×C8 | — | 2 | 2 | no | — |
| 510 | C4×C8 | — | 2 | 2 | no | — |
| 511 | C4×C8 | — | 2 | 2 | no | — |
| 512 | C4×C8 | — | 2 | 2 | no | — |
| 513 | C4×C8 | — | 2 | 2 | no | — |
| 514 | C4×C8 | — | 4 | 4 | no | — |
| 515 | C4×C8 | — | 4 | 4 | no | — |
| 516 | C4×C8 | — | 4 | 4 | no | — |
| 517 | C4×C8 | C4×D4 | 1 | 2 | yes | — |
| 518 | C4×C8 | C4×D4 | 1 | 2 | yes | — |
| 519 | C4×C8 | C4×D4 | 1 | 2 | yes | — |
| 520 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 521 | C4×C8 | C23×C4 | 1 | 2 | yes | — |
| 522 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 523 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 524 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 525 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 526 | C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 527 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 528 | C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 529 | C4×C8 | C2×#41 | 1 | 2 | yes | — |
| 530 | C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 531 | C24 | #442 | 1 | 1 | yes | characteristic |
| 532 | #41 | — | 4 | 8 | no | — |
| 533 | #41 | — | 4 | 8 | no | — |
| 534 | #41 | — | 8 | 4 | no | — |
| 535 | #41 | — | 8 | 4 | no | — |
| 536 | #41 | — | 8 | 8 | no | — |
| 537 | C2×Q8 | — | 2 | 4 | no | — |
| 538 | C2×Q8 | — | 4 | 2 | no | — |
| 539 | C2×Q8 | — | 4 | 2 | no | — |
| 540 | C2×D4 | — | 2 | 4 | no | — |
| 541 | C2×D4 | — | 4 | 4 | no | — |
| 542 | C2×D4 | — | 4 | 4 | no | — |
| 543 | C2×D4 | — | 4 | 4 | no | — |
| 544 | C2×D4 | — | 4 | 2 | no | — |
| 545 | C2×D4 | — | 4 | 2 | no | — |
| 546 | C22×C4 | — | 4 | 1 | no | — |
| 547 | C22×C4 | — | 4 | 1 | no | — |
| 548 | C22×C4 | — | 4 | 4 | no | — |
| 549 | C22×C4 | — | 4 | 4 | no | — |
| 550 | C22×C4 | — | 4 | 4 | no | — |
| 551 | C22×C4 | — | 4 | 4 | no | — |
| 552 | C22×C4 | #442 | 1 | 2 | yes | — |
| 553 | C22×C4 | #442 | 1 | 2 | yes | — |
| 554 | C22×C4 | #442 | 1 | 2 | yes | — |
| 555 | C22×C4 | #442 | 1 | 1 | yes | characteristic |
| 556 | C22×C4 | #442 | 1 | 2 | yes | — |
| 557 | C22×C4 | C2×C4×D4 | 1 | 2 | yes | — |
| 558 | C22×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 559 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 560 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 561 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 562 | Q16 | — | 2 | 4 | no | — |
| 563 | Q16 | — | 2 | 4 | no | — |
| 564 | Q16 | — | 4 | 4 | no | — |
| 565 | SD16 | — | 4 | 8 | no | — |
| 566 | SD16 | — | 4 | 8 | no | — |
| 567 | D8 | — | 2 | 4 | no | — |
| 568 | D8 | — | 2 | 4 | no | — |
| 569 | D8 | — | 4 | 4 | no | — |
| 570 | M16 | — | 8 | 8 | no | — |
| 571 | M16 | — | 8 | 8 | no | — |
| 572 | M16 | — | 8 | 4 | no | — |
| 573 | M16 | — | 8 | 4 | no | — |
| 574 | C2×C8 | — | 2 | 2 | no | — |
| 575 | C2×C8 | — | 2 | 4 | no | — |
| 576 | C2×C8 | — | 2 | 1 | no | — |
| 577 | C2×C8 | — | 2 | 1 | no | — |
| 578 | C2×C8 | — | 2 | 2 | no | — |
| 579 | C2×C8 | — | 2 | 2 | no | — |
| 580 | C2×C8 | — | 2 | 2 | no | — |
| 581 | C2×C8 | — | 2 | 2 | no | — |
| 582 | C2×C8 | — | 2 | 2 | no | — |
| 583 | C2×C8 | — | 2 | 2 | no | — |
| 584 | C2×C8 | — | 4 | 1 | no | — |
| 585 | C2×C8 | — | 4 | 2 | no | — |
| 586 | C2×C8 | — | 4 | 1 | no | — |
| 587 | C2×C8 | — | 4 | 2 | no | — |
| 588 | C2×C8 | — | 4 | 4 | no | — |
| 589 | C2×C8 | — | 4 | 4 | no | — |
| 590 | C2×C8 | — | 4 | 4 | no | — |
| 591 | C2×C8 | — | 4 | 4 | no | — |
| 592 | C2×C8 | — | 8 | 2 | no | — |
| 593 | C2×C8 | — | 8 | 2 | no | — |
| 594 | C2×C8 | — | 8 | 2 | no | — |
| 595 | C2×C8 | — | 8 | 2 | no | — |
| 596 | C2×C8 | — | 8 | 8 | no | — |
| 597 | C2×C8 | — | 8 | 8 | no | — |
| 598 | C2×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 599 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 600 | C2×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 601 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 602 | C2×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 603 | C2×C8 | C22×#41 | 1 | 1 | yes | characteristic |
| 604 | C4⋊C4 | — | 2 | 4 | no | — |
| 605 | C4⋊C4 | — | 2 | 4 | no | — |
| 606 | C4⋊C4 | — | 4 | 4 | no | — |
| 607 | C4⋊C4 | — | 4 | 2 | no | — |
| 608 | C4⋊C4 | — | 4 | 2 | no | — |
| 609 | C4⋊C4 | — | 4 | 2 | no | — |
| 610 | C4⋊C4 | — | 4 | 2 | no | — |
| 611 | C4⋊C4 | — | 4 | 4 | no | — |
| 612 | C4⋊C4 | — | 4 | 4 | no | — |
| 613 | C4⋊C4 | — | 4 | 4 | no | — |
| 614 | C4⋊C4 | — | 4 | 4 | no | — |
| 615 | C4⋊C4 | — | 4 | 4 | no | — |
| 616 | C22⋊C4 | — | 4 | 4 | no | — |
| 617 | C22⋊C4 | — | 4 | 4 | no | — |
| 618 | C22⋊C4 | — | 4 | 4 | no | — |
| 619 | C22⋊C4 | — | 4 | 4 | no | — |
| 620 | C22⋊C4 | — | 4 | 4 | no | — |
| 621 | C22⋊C4 | — | 4 | 4 | no | — |
| 622 | C22⋊C4 | — | 4 | 4 | no | — |
| 623 | C22⋊C4 | — | 4 | 4 | no | — |
| 624 | C22⋊C4 | — | 4 | 4 | no | — |
| 625 | C42 | — | 4 | 4 | no | — |
| 626 | C42 | — | 4 | 4 | no | — |
| 627 | C42 | — | 4 | 4 | no | — |
| 628 | C42 | #442 | 1 | 2 | yes | — |
| 629 | C42 | #442 | 1 | 1 | yes | characteristic |
| 630 | C42 | #442 | 1 | 2 | yes | — |
| 631 | C42 | #442 | 1 | 1 | yes | characteristic |
| 632 | C42 | C2×C4×D4 | 1 | 2 | yes | — |
| 633 | C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 634 | C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 635 | C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 636 | C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 637 | C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 638 | C16 | — | 2 | 4 | no | — |
| 639 | C16 | — | 2 | 4 | no | — |
| 640 | C16 | — | 4 | 4 | no | — |
| 641 | C23 | — | 4 | 2 | no | — |
| 642 | C23 | — | 4 | 1 | no | — |
| 643 | C23 | — | 4 | 4 | no | — |
| 644 | C23 | C2×#442 | 1 | 1 | yes | characteristic |
| 645 | C23 | C2×#442 | 1 | 2 | yes | — |
| 646 | Q8 | — | 4 | 4 | no | — |
| 647 | Q8 | — | 4 | 4 | no | — |
| 648 | Q8 | — | 8 | 4 | no | — |
| 649 | Q8 | — | 8 | 4 | no | — |
| 650 | D4 | — | 4 | 4 | no | — |
| 651 | D4 | — | 4 | 4 | no | — |
| 652 | D4 | — | 8 | 4 | no | — |
| 653 | D4 | — | 8 | 8 | no | — |
| 654 | D4 | — | 8 | 8 | no | — |
| 655 | D4 | — | 8 | 8 | no | — |
| 656 | D4 | — | 8 | 4 | no | — |
| 657 | C2×C4 | — | 2 | 1 | no | — |
| 658 | C2×C4 | — | 2 | 2 | no | — |
| 659 | C2×C4 | — | 2 | 4 | no | — |
| 660 | C2×C4 | — | 2 | 4 | no | — |
| 661 | C2×C4 | — | 2 | 4 | no | — |
| 662 | C2×C4 | — | 2 | 1 | no | — |
| 663 | C2×C4 | — | 2 | 2 | no | — |
| 664 | C2×C4 | — | 4 | 2 | no | — |
| 665 | C2×C4 | — | 4 | 2 | no | — |
| 666 | C2×C4 | — | 4 | 2 | no | — |
| 667 | C2×C4 | — | 4 | 1 | no | — |
| 668 | C2×C4 | — | 4 | 2 | no | — |
| 669 | C2×C4 | — | 4 | 4 | no | — |
| 670 | C2×C4 | — | 4 | 4 | no | — |
| 671 | C2×C4 | — | 4 | 4 | no | — |
| 672 | C2×C4 | — | 8 | 4 | no | — |
| 673 | C2×C4 | — | 8 | 4 | no | — |
| 674 | C2×C4 | — | 8 | 8 | no | — |
| 675 | C2×C4 | — | 8 | 8 | no | — |
| 676 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 677 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 678 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 679 | C2×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 680 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 681 | C2×C4 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 682 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 683 | C8 | — | 2 | 1 | no | — |
| 684 | C8 | — | 2 | 2 | no | — |
| 685 | C8 | — | 2 | 1 | no | — |
| 686 | C8 | — | 2 | 2 | no | — |
| 687 | C8 | — | 4 | 2 | no | — |
| 688 | C8 | — | 4 | 2 | no | — |
| 689 | C8 | — | 4 | 2 | no | — |
| 690 | C8 | — | 4 | 2 | no | — |
| 691 | C8 | — | 8 | 4 | no | — |
| 692 | C8 | — | 8 | 4 | no | — |
| 693 | C8 | #2955 | 1 | 2 | yes | — |
| 694 | C8 | #3573 | 1 | 1 | yes | characteristic |
| 695 | C8 | #3573 | 1 | 1 | yes | characteristic |
| 696 | C22 | — | 2 | 2 | no | — |
| 697 | C22 | — | 2 | 2 | no | — |
| 698 | C22 | — | 2 | 2 | no | — |
| 699 | C22 | — | 2 | 2 | no | — |
| 700 | C22 | — | 2 | 1 | no | — |
| 701 | C22 | — | 4 | 4 | no | — |
| 702 | C22 | — | 8 | 4 | no | — |
| 703 | C22 | — | 8 | 4 | no | — |
| 704 | C22 | — | 8 | 4 | no | — |
| 705 | C22 | C22×#442 | 1 | 1 | yes | characteristic |
| 706 | C4 | — | 2 | 2 | no | — |
| 707 | C4 | — | 2 | 2 | no | — |
| 708 | C4 | — | 2 | 2 | no | — |
| 709 | C4 | — | 2 | 2 | no | — |
| 710 | C4 | — | 2 | 1 | no | — |
| 711 | C4 | — | 8 | 4 | no | — |
| 712 | C4 | — | 8 | 4 | no | — |
| 713 | C4 | — | 8 | 4 | no | — |
| 714 | C4 | #33468 | 1 | 4 | yes | — |
| 715 | C4 | #60140 | 1 | 1 | yes | characteristic |
| 716 | C4 | C2×#2955 | 1 | 1 | yes | characteristic |
| 717 | C2 | — | 4 | 1 | no | — |
| 718 | C2 | — | 4 | 2 | no | — |
| 719 | C2 | — | 16 | 4 | no | — |
| 720 | C2 | #6345192 | 1 | 1 | yes | characteristic |
| 721 | C2 | C2×#33468 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C22×#442 |
| commutator | C2×C8 | C24×C4 |
| Frattini, cosocle | C4×C8 | C25 |
| prime radical | #7623522 | C2 |
| LCS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C22×C42 ◁ C22×#322 ◁ G | |
| LECS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #6344789 | C2 | semidirect |
| 3. #483989 | C2 | semidirect |
| 4. #483958 | C2 | semidirect |
| 5. #483927 | C2 | semidirect |
| 6. #483926 | C2 | semidirect |
| 7. #483881 | C2 | semidirect |
| 8. #483880 | C2 | semidirect |
| 9. #483445 | C2 | semidirect |
| 10. #481387 | C2 | semidirect |
| 11. #479966 | C2 | semidirect |
| 42. #12089 | C22 | semidirect |
| 43. #12088 | C22 | semidirect |
| 44. #12087 | C22 | semidirect |
| 45. #12080 | C22 | semidirect |
| 46. #12079 | C22 | semidirect |
| 47. #12078 | C22 | semidirect |
| 48. #12077 | C22 | semidirect |
| 49. #12067 | C22 | semidirect |
| 50. #12066 | C22 | semidirect |
| 51. #12065 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #7623522 | 2 |
| #6344789 | 2 |
| #483989 | 2 |
| #483958 | 2 |
| #483927 | 2 |
| #483926 | 2 |
| #483881 | 2 |
| #483880 | 2 |
| #483445 | 2 |
| #481387 | 2 |
| #479966 | 2 |