← #72231969
Subgroups — #72231969
Order 2048.
3604 conjugacy classes of subgroups.
The subgroup lattice has 788 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72231968 | C2 | 1 | 8 | yes | maximal, complemented |
| 2 | #72231965 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | C2×#149502 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72231960 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72231958 | C2 | 1 | 2 | yes | maximal |
| 6 | #72231905 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #72231885 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #72231881 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #72231876 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #72231858 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72231856 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #7622657 | C4 | 1 | 1 | yes | characteristic |
| 13 | #7622657 | C22 | 1 | 1 | yes | characteristic |
| 14 | #6342481 | C4 | 1 | 1 | yes | characteristic |
| 15 | #512795 | C22 | 1 | 8 | yes | — |
| 16 | #512794 | C4 | 1 | 16 | yes | — |
| 17 | #512789 | C22 | 1 | 8 | yes | — |
| 18 | #512784 | C4 | 1 | 4 | yes | — |
| 19 | #512744 | C4 | 1 | 4 | yes | — |
| 20 | #512743 | C4 | 1 | 8 | yes | — |
| 21 | #512731 | C22 | 1 | 4 | yes | — |
| 22 | #512728 | C22 | 1 | 2 | yes | — |
| 23 | #512545 | C22 | 1 | 4 | yes | — |
| 24 | C2×C4×M64 | C22 | 1 | 2 | yes | — |
| 25 | #479945 | C4 | 1 | 4 | yes | — |
| 26 | #479944 | C4 | 1 | 4 | yes | — |
| 27 | #479944 | C22 | 1 | 4 | yes | — |
| 28 | #479943 | C22 | 1 | 4 | yes | — |
| 29 | #479927 | C4 | 1 | 2 | yes | — |
| 30 | #479924 | C4 | 1 | 1 | yes | characteristic |
| 31 | #479917 | C4 | 1 | 2 | yes | — |
| 32 | #479917 | C22 | 1 | 2 | yes | — |
| 33 | #479914 | C4 | 1 | 1 | yes | characteristic |
| 34 | #479914 | C22 | 1 | 1 | yes | characteristic |
| 35 | #479899 | C22 | 1 | 2 | yes | — |
| 36 | C22×#1311 | C22 | 1 | 1 | yes | characteristic |
| 37 | #149514 | C22 | 1 | 8 | yes | complemented |
| 38 | #149513 | C22 | 1 | 4 | yes | — |
| 39 | #149513 | C22 | 1 | 4 | yes | — |
| 40 | #149513 | C22 | 1 | 8 | yes | complemented |
| 41 | #149509 | C22 | 1 | 8 | yes | — |
| 42 | #149509 | C22 | 1 | 8 | yes | — |
| 43 | #149509 | C22 | 1 | 16 | yes | complemented |
| 44 | #149508 | C22 | 1 | 16 | yes | complemented |
| 45 | #149502 | C22 | 1 | 2 | yes | — |
| 46 | #149502 | C22 | 1 | 4 | yes | — |
| 47 | #149502 | C22 | 1 | 2 | yes | — |
| 48 | #149502 | C22 | 1 | 2 | yes | — |
| 49 | #149502 | C22 | 1 | 4 | yes | complemented |
| 50 | #149501 | C22 | 1 | 4 | yes | — |
| 51 | #149501 | C22 | 1 | 8 | yes | complemented |
| 52 | C2×#7332 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#7332 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×#7332 | C22 | 1 | 2 | yes | — |
| 55 | C2×#7332 | C22 | 1 | 4 | yes | complemented |
| 56 | #149496 | C22 | 1 | 4 | yes | — |
| 57 | #149495 | C22 | 1 | 2 | yes | — |
| 58 | #60204 | C8 | 1 | 2 | yes | — |
| 59 | #60204 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | C2×#2258 | C2×C4 | 1 | 8 | yes | — |
| 61 | C22×M64 | C2×C4 | 1 | 4 | yes | — |
| 62 | #33480 | C8 | 1 | 8 | yes | — |
| 63 | #33480 | C2×C4 | 1 | 8 | yes | — |
| 64 | #33479 | C2×C4 | 1 | 4 | yes | — |
| 65 | #33479 | C2×C4 | 1 | 4 | yes | — |
| 66 | C16×#41 | C2×C4 | 1 | 4 | yes | — |
| 67 | C16×#41 | C23 | 1 | 4 | yes | — |
| 68 | #33474 | C8 | 1 | 2 | yes | — |
| 69 | #33474 | C2×C4 | 1 | 2 | yes | — |
| 70 | #33434 | C8 | 1 | 2 | yes | — |
| 71 | #33434 | C2×C4 | 1 | 2 | yes | — |
| 72 | #33432 | C8 | 1 | 4 | yes | — |
| 73 | #33432 | C2×C4 | 1 | 4 | yes | — |
| 74 | #33420 | C2×C4 | 1 | 2 | yes | — |
| 75 | #33420 | C2×C4 | 1 | 2 | yes | — |
| 76 | #33418 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | #33418 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | C4×#504 | C2×C4 | 1 | 2 | yes | — |
| 79 | C4×#504 | C23 | 1 | 2 | yes | — |
| 80 | C22×C4×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | C22×C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 82 | #17335 | C8 | 1 | 4 | yes | — |
| 83 | #17335 | C2×C4 | 1 | 2 | yes | — |
| 84 | #17328 | C8 | 1 | 4 | yes | — |
| 85 | #17328 | C8 | 1 | 4 | yes | — |
| 86 | #17328 | C2×C4 | 1 | 4 | yes | — |
| 87 | #17323 | C8 | 1 | 2 | yes | — |
| 88 | #17323 | C2×C4 | 1 | 1 | yes | characteristic |
| 89 | C8×#131 | C2×C4 | 1 | 4 | yes | — |
| 90 | C8×#131 | C2×C4 | 1 | 2 | yes | — |
| 91 | C22×C82 | C2×C4 | 1 | 1 | yes | characteristic |
| 92 | #13660 | C2×C4 | 1 | 16 | yes | — |
| 93 | Q8×C32 | C2×C4 | 1 | 16 | yes | — |
| 94 | #13646 | C2×C4 | 1 | 32 | yes | — |
| 95 | #13646 | C2×C4 | 1 | 16 | yes | — |
| 96 | #13645 | C2×C4 | 1 | 32 | yes | — |
| 97 | D4×C32 | C2×C4 | 1 | 16 | yes | — |
| 98 | #13641 | C2×C4 | 1 | 16 | yes | — |
| 99 | #13640 | C23 | 1 | 16 | yes | — |
| 100 | #13640 | C23 | 1 | 8 | yes | — |
| 101 | #13639 | C2×C4 | 1 | 8 | yes | — |
| 102 | #13628 | C2×C4 | 1 | 8 | yes | — |
| 103 | #13627 | C2×C4 | 1 | 4 | yes | — |
| 104 | #13554 | C2×C4 | 1 | 8 | yes | — |
| 105 | #13553 | C2×C4 | 1 | 4 | yes | — |
| 106 | #13549 | C2×C4 | 1 | 8 | yes | — |
| 107 | #13549 | C2×C4 | 1 | 16 | yes | — |
| 108 | C4×M64 | C2×C4 | 1 | 8 | yes | — |
| 109 | C4×M64 | C23 | 1 | 4 | yes | — |
| 110 | C4×M64 | C23 | 1 | 4 | yes | — |
| 111 | C4×M64 | C23 | 1 | 8 | yes | — |
| 112 | C4×M64 | C23 | 1 | 4 | yes | — |
| 113 | C2×#1397 | C23 | 1 | 8 | yes | — |
| 114 | C2×#1397 | C23 | 1 | 2 | yes | — |
| 115 | C2×#1397 | C23 | 1 | 2 | yes | — |
| 116 | C2×C4×C32 | C2×C4 | 1 | 4 | yes | — |
| 117 | #11412 | C2×C4 | 1 | 8 | yes | — |
| 118 | #11411 | C2×C4 | 1 | 4 | yes | — |
| 119 | #11411 | C2×C4 | 1 | 8 | yes | — |
| 120 | #11410 | C2×C4 | 1 | 4 | yes | — |
| 121 | #11409 | C2×C4 | 1 | 8 | yes | — |
| 122 | #11409 | C2×C4 | 1 | 8 | yes | — |
| 123 | #11408 | C2×C4 | 1 | 4 | yes | — |
| 124 | #11408 | C2×C4 | 1 | 8 | yes | — |
| 125 | #11408 | C23 | 1 | 8 | yes | — |
| 126 | #11408 | C23 | 1 | 4 | yes | — |
| 127 | C16×M16 | C2×C4 | 1 | 4 | yes | — |
| 128 | C16×M16 | C2×C4 | 1 | 4 | yes | — |
| 129 | #11402 | C2×C4 | 1 | 2 | yes | — |
| 130 | #11401 | C2×C4 | 1 | 2 | yes | — |
| 131 | #11401 | C2×C4 | 1 | 2 | yes | — |
| 132 | #11399 | C2×C4 | 1 | 2 | yes | — |
| 133 | #11399 | C2×C4 | 1 | 4 | yes | — |
| 134 | #11399 | C23 | 1 | 4 | yes | — |
| 135 | #11399 | C23 | 1 | 2 | yes | — |
| 136 | C8×M32 | C2×C4 | 1 | 2 | yes | — |
| 137 | C8×M32 | C2×C4 | 1 | 4 | yes | — |
| 138 | C2×#1311 | C2×C4 | 1 | 1 | yes | characteristic |
| 139 | C2×#1311 | C2×C4 | 1 | 1 | yes | characteristic |
| 140 | C2×#1311 | C2×C4 | 1 | 2 | yes | — |
| 141 | C2×#1311 | C2×C4 | 1 | 2 | yes | — |
| 142 | C2×#1311 | C23 | 1 | 2 | yes | — |
| 143 | C2×#1311 | C23 | 1 | 2 | yes | — |
| 144 | C2×#1311 | C23 | 1 | 4 | yes | — |
| 145 | C2×#1311 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×#1311 | C23 | 1 | 1 | yes | characteristic |
| 147 | #7332 | C23 | 1 | 4 | yes | — |
| 148 | #7332 | C23 | 1 | 8 | yes | — |
| 149 | #7332 | C23 | 1 | 8 | yes | — |
| 150 | #7332 | C23 | 1 | 4 | yes | — |
| 151 | #7332 | C23 | 1 | 4 | yes | — |
| 152 | #7332 | C23 | 1 | 4 | yes | — |
| 153 | #7332 | C23 | 1 | 2 | yes | — |
| 154 | #7332 | C23 | 1 | 2 | yes | — |
| 155 | #7332 | C23 | 1 | 1 | yes | characteristic |
| 156 | #7332 | C23 | 1 | 2 | yes | — |
| 157 | #7332 | C23 | 1 | 1 | yes | characteristic |
| 158 | #7330 | C23 | 1 | 8 | yes | — |
| 159 | #7330 | C23 | 1 | 16 | yes | — |
| 160 | #3444 | C2×C8 | 1 | 1 | yes | characteristic |
| 161 | C2×#504 | C2×C8 | 1 | 4 | yes | — |
| 162 | C2×#504 | C22×C4 | 1 | 4 | yes | — |
| 163 | C23×C16 | C2×C8 | 1 | 2 | yes | — |
| 164 | C23×C16 | C22×C4 | 1 | 2 | yes | — |
| 165 | #2966 | — | 2 | 4 | no | — |
| 166 | #2966 | — | 2 | 4 | no | — |
| 167 | #2966 | C42 | 1 | 4 | yes | — |
| 168 | #2966 | C2×C8 | 1 | 4 | yes | — |
| 169 | #2965 | C2×C8 | 1 | 4 | yes | — |
| 170 | #2965 | C2×C8 | 1 | 4 | yes | — |
| 171 | #2965 | C2×C8 | 1 | 4 | yes | — |
| 172 | C8×#41 | C2×C8 | 1 | 4 | yes | — |
| 173 | C8×#41 | C2×C8 | 1 | 4 | yes | — |
| 174 | C8×#41 | C22×C4 | 1 | 4 | yes | — |
| 175 | #2960 | — | 2 | 2 | no | — |
| 176 | #2960 | C42 | 1 | 1 | yes | characteristic |
| 177 | #2960 | C2×C8 | 1 | 1 | yes | characteristic |
| 178 | #2931 | — | 2 | 2 | no | — |
| 179 | #2931 | C42 | 1 | 1 | yes | characteristic |
| 180 | #2931 | C2×C8 | 1 | 1 | yes | characteristic |
| 181 | #2929 | — | 2 | 4 | no | — |
| 182 | #2929 | C42 | 1 | 2 | yes | — |
| 183 | #2929 | C2×C8 | 1 | 2 | yes | — |
| 184 | #2922 | C2×C8 | 1 | 4 | yes | — |
| 185 | #2922 | C2×C8 | 1 | 2 | yes | — |
| 186 | #2920 | C2×C8 | 1 | 2 | yes | — |
| 187 | #2920 | C2×C8 | 1 | 1 | yes | characteristic |
| 188 | C4×#131 | C2×C8 | 1 | 4 | yes | — |
| 189 | C4×#131 | C22×C4 | 1 | 2 | yes | — |
| 190 | C22×C4×C8 | C2×C8 | 1 | 2 | yes | — |
| 191 | C22×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 192 | #2258 | — | 4 | 16 | no | — |
| 193 | C2×M64 | — | 4 | 8 | no | — |
| 194 | C2×M64 | C22×C4 | 1 | 8 | yes | — |
| 195 | C2×M64 | C22×C4 | 1 | 8 | yes | — |
| 196 | C2×M64 | C22×C4 | 1 | 8 | yes | — |
| 197 | C2×M64 | C22×C4 | 1 | 16 | yes | — |
| 198 | C22×C32 | C22×C4 | 1 | 4 | yes | — |
| 199 | C22×C32 | C22×C4 | 1 | 4 | yes | — |
| 200 | C22×C32 | C22×C4 | 1 | 16 | yes | — |
| 201 | #2183 | C42 | 1 | 8 | yes | — |
| 202 | #2183 | C2×C8 | 1 | 8 | yes | — |
| 203 | Q8×C16 | C2×C8 | 1 | 8 | yes | — |
| 204 | Q8×C16 | C22×C4 | 1 | 8 | yes | — |
| 205 | #2169 | C42 | 1 | 8 | yes | — |
| 206 | #2169 | C2×C8 | 1 | 8 | yes | — |
| 207 | #2168 | C42 | 1 | 16 | yes | — |
| 208 | #2168 | C2×C8 | 1 | 16 | yes | — |
| 209 | D4×C16 | C2×C8 | 1 | 16 | yes | — |
| 210 | D4×C16 | C2×C8 | 1 | 8 | yes | — |
| 211 | D4×C16 | C22×C4 | 1 | 8 | yes | — |
| 212 | D4×C16 | C22×C4 | 1 | 16 | yes | — |
| 213 | #2164 | C42 | 1 | 8 | yes | — |
| 214 | #2164 | C2×C8 | 1 | 8 | yes | — |
| 215 | #2163 | C42 | 1 | 4 | yes | — |
| 216 | #2163 | C2×C8 | 1 | 4 | yes | — |
| 217 | #2162 | C22×C4 | 1 | 4 | yes | — |
| 218 | #2162 | C22×C4 | 1 | 8 | yes | — |
| 219 | #2162 | C22×C4 | 1 | 4 | yes | — |
| 220 | #2162 | C22×C4 | 1 | 8 | yes | — |
| 221 | #2151 | C42 | 1 | 4 | yes | — |
| 222 | #2151 | C2×C8 | 1 | 4 | yes | — |
| 223 | #2150 | C42 | 1 | 2 | yes | — |
| 224 | #2150 | C2×C8 | 1 | 2 | yes | — |
| 225 | #2113 | C42 | 1 | 4 | yes | — |
| 226 | #2113 | C2×C8 | 1 | 4 | yes | — |
| 227 | #2112 | C42 | 1 | 2 | yes | — |
| 228 | #2112 | C2×C8 | 1 | 2 | yes | — |
| 229 | #2108 | C2×C8 | 1 | 4 | yes | — |
| 230 | #2108 | C2×C8 | 1 | 8 | yes | — |
| 231 | #2108 | C22×C4 | 1 | 4 | yes | — |
| 232 | #2108 | C22×C4 | 1 | 8 | yes | — |
| 233 | C4×M32 | C22×C4 | 1 | 2 | yes | — |
| 234 | C4×M32 | C22×C4 | 1 | 4 | yes | — |
| 235 | C4×M32 | C22×C4 | 1 | 2 | yes | — |
| 236 | C4×M32 | C22×C4 | 1 | 4 | yes | — |
| 237 | C2×C4×C16 | C2×C8 | 1 | 2 | yes | — |
| 238 | C2×C4×C16 | C2×C8 | 1 | 4 | yes | — |
| 239 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 240 | C2×C4×C16 | C22×C4 | 1 | 4 | yes | — |
| 241 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 242 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 243 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 244 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 245 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 246 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 247 | C2×C4×C16 | C22×C4 | 1 | 4 | yes | — |
| 248 | C2×C4×C16 | C24 | 1 | 1 | yes | characteristic |
| 249 | C2×C4×C16 | C24 | 1 | 2 | yes | — |
| 250 | C2×C4×C16 | C24 | 1 | 4 | yes | — |
| 251 | #1455 | C2×C8 | 1 | 4 | yes | — |
| 252 | #1454 | C2×C8 | 1 | 8 | yes | — |
| 253 | #1453 | C2×C8 | 1 | 4 | yes | — |
| 254 | #1453 | C2×C8 | 1 | 8 | yes | — |
| 255 | #1452 | C2×C8 | 1 | 4 | yes | — |
| 256 | #1452 | C2×C8 | 1 | 2 | yes | — |
| 257 | #1451 | C2×C8 | 1 | 4 | yes | — |
| 258 | #1451 | C2×C8 | 1 | 4 | yes | — |
| 259 | #1451 | C2×C8 | 1 | 4 | yes | — |
| 260 | #1450 | C2×C8 | 1 | 4 | yes | — |
| 261 | #1450 | C2×C8 | 1 | 8 | yes | — |
| 262 | #1450 | C22×C4 | 1 | 2 | yes | — |
| 263 | #1450 | C22×C4 | 1 | 4 | yes | — |
| 264 | C8×M16 | C2×C8 | 1 | 4 | yes | — |
| 265 | C8×M16 | C2×C8 | 1 | 4 | yes | — |
| 266 | C8×M16 | C2×C8 | 1 | 8 | yes | — |
| 267 | C8×M16 | C2×C8 | 1 | 8 | yes | — |
| 268 | C8×M16 | C22×C4 | 1 | 4 | yes | — |
| 269 | C8×M16 | C22×C4 | 1 | 8 | yes | — |
| 270 | C2×C82 | C2×C8 | 1 | 2 | yes | — |
| 271 | C2×C82 | C2×C8 | 1 | 2 | yes | — |
| 272 | C2×C82 | C2×C8 | 1 | 2 | yes | — |
| 273 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 274 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 275 | C2×C82 | C22×C4 | 1 | 2 | yes | — |
| 276 | C2×C82 | C22×C4 | 1 | 2 | yes | — |
| 277 | C2×C82 | C22×C4 | 1 | 4 | yes | — |
| 278 | C4⋊C32 | C22×C4 | 1 | 16 | yes | — |
| 279 | C4⋊C32 | C22×C4 | 1 | 32 | yes | — |
| 280 | C22⋊C32 | C22×C4 | 1 | 16 | yes | — |
| 281 | C22⋊C32 | C22×C4 | 1 | 32 | yes | — |
| 282 | #1397 | C22×C4 | 1 | 4 | yes | — |
| 283 | #1397 | C22×C4 | 1 | 16 | yes | — |
| 284 | #1397 | C22×C4 | 1 | 4 | yes | — |
| 285 | #1397 | C24 | 1 | 4 | yes | — |
| 286 | #1397 | C24 | 1 | 8 | yes | — |
| 287 | #1397 | C24 | 1 | 2 | yes | — |
| 288 | #1397 | C24 | 1 | 2 | yes | — |
| 289 | C4×C32 | C22×C4 | 1 | 8 | yes | — |
| 290 | C4×C32 | C22×C4 | 1 | 8 | yes | — |
| 291 | C4×C32 | C22×C4 | 1 | 8 | yes | — |
| 292 | C4×C32 | C22×C4 | 1 | 16 | yes | — |
| 293 | #1312 | C22×C4 | 1 | 8 | yes | — |
| 294 | #1312 | C22×C4 | 1 | 8 | yes | — |
| 295 | #1312 | C22×C4 | 1 | 8 | yes | — |
| 296 | #1311 | C22×C4 | 1 | 1 | yes | characteristic |
| 297 | #1311 | C22×C4 | 1 | 1 | yes | characteristic |
| 298 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 299 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 300 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 301 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 302 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 303 | #1311 | C22×C4 | 1 | 4 | yes | — |
| 304 | #1311 | C22×C4 | 1 | 4 | yes | — |
| 305 | #1311 | C24 | 1 | 1 | yes | characteristic |
| 306 | #1311 | C24 | 1 | 1 | yes | characteristic |
| 307 | #1311 | C24 | 1 | 2 | yes | — |
| 308 | #1311 | C24 | 1 | 4 | yes | — |
| 309 | C8×C16 | C22×C4 | 1 | 4 | yes | — |
| 310 | C8×C16 | C22×C4 | 1 | 4 | yes | — |
| 311 | C8×C16 | C22×C4 | 1 | 4 | yes | — |
| 312 | C2×#131 | — | 2 | 4 | no | — |
| 313 | C2×#131 | C2×C42 | 1 | 2 | yes | — |
| 314 | C2×#131 | C22×C8 | 1 | 2 | yes | — |
| 315 | C23×C8 | — | 2 | 2 | no | — |
| 316 | C23×C8 | C2×C42 | 1 | 1 | yes | characteristic |
| 317 | C23×C8 | C22×C8 | 1 | 1 | yes | characteristic |
| 318 | #533 | C4×C8 | 1 | 1 | yes | characteristic |
| 319 | #533 | M32 | 1 | 2 | yes | — |
| 320 | #532 | C4×C8 | 1 | 1 | yes | characteristic |
| 321 | #532 | M32 | 1 | 2 | yes | — |
| 322 | #529 | C4×C8 | 1 | 4 | yes | — |
| 323 | #529 | M32 | 1 | 4 | yes | — |
| 324 | #529 | M32 | 1 | 4 | yes | — |
| 325 | #525 | C4×C8 | 1 | 2 | yes | — |
| 326 | #525 | M32 | 1 | 4 | yes | — |
| 327 | C4×#41 | C22×C8 | 1 | 2 | yes | — |
| 328 | C4×#41 | C22×C8 | 1 | 4 | yes | — |
| 329 | C22×C42 | C22×C8 | 1 | 1 | yes | characteristic |
| 330 | #504 | — | 2 | 16 | no | — |
| 331 | #504 | — | 2 | 16 | no | — |
| 332 | C2×M32 | C2×C42 | 1 | 4 | yes | — |
| 333 | C2×M32 | C2×C42 | 1 | 8 | yes | — |
| 334 | C2×M32 | C22×C8 | 1 | 4 | yes | — |
| 335 | C2×M32 | C22×C8 | 1 | 8 | yes | — |
| 336 | C22×C16 | — | 2 | 8 | no | — |
| 337 | C22×C16 | — | 2 | 8 | no | — |
| 338 | C22×C16 | C2×C42 | 1 | 2 | yes | — |
| 339 | C22×C16 | C2×C42 | 1 | 4 | yes | — |
| 340 | C22×C16 | C22×C8 | 1 | 2 | yes | — |
| 341 | C22×C16 | C22×C8 | 1 | 4 | yes | — |
| 342 | C22×C16 | C22×C8 | 1 | 4 | yes | — |
| 343 | C22×C16 | C22×C8 | 1 | 8 | yes | — |
| 344 | C22×C16 | C22×C8 | 1 | 2 | yes | — |
| 345 | C22×C16 | C23×C4 | 1 | 4 | yes | — |
| 346 | C22×C16 | C23×C4 | 1 | 8 | yes | — |
| 347 | C22×C16 | C23×C4 | 1 | 2 | yes | — |
| 348 | #446 | — | 2 | 4 | no | — |
| 349 | #446 | — | 2 | 4 | no | — |
| 350 | #446 | C4×C8 | 1 | 4 | yes | — |
| 351 | #446 | C4×C8 | 1 | 4 | yes | — |
| 352 | C8×Q8 | — | 2 | 4 | no | — |
| 353 | C8×Q8 | — | 2 | 4 | no | — |
| 354 | C8×Q8 | C2×C42 | 1 | 4 | yes | — |
| 355 | C8×Q8 | C22×C8 | 1 | 4 | yes | — |
| 356 | #436 | — | 2 | 4 | no | — |
| 357 | #436 | — | 2 | 4 | no | — |
| 358 | #436 | C4×C8 | 1 | 4 | yes | — |
| 359 | #436 | C4×C8 | 1 | 4 | yes | — |
| 360 | #435 | — | 2 | 8 | no | — |
| 361 | #435 | — | 2 | 8 | no | — |
| 362 | #435 | C4×C8 | 1 | 8 | yes | — |
| 363 | #435 | C4×C8 | 1 | 8 | yes | — |
| 364 | C8×D4 | — | 2 | 8 | no | — |
| 365 | C8×D4 | — | 2 | 8 | no | — |
| 366 | C8×D4 | — | 2 | 4 | no | — |
| 367 | C8×D4 | — | 2 | 4 | no | — |
| 368 | C8×D4 | C2×C42 | 1 | 8 | yes | — |
| 369 | C8×D4 | C2×C42 | 1 | 4 | yes | — |
| 370 | C8×D4 | C22×C8 | 1 | 8 | yes | — |
| 371 | C8×D4 | C22×C8 | 1 | 4 | yes | — |
| 372 | #433 | — | 2 | 8 | no | — |
| 373 | #433 | C4×C8 | 1 | 8 | yes | — |
| 374 | #432 | — | 2 | 2 | no | — |
| 375 | #432 | — | 2 | 2 | no | — |
| 376 | #432 | C4×C8 | 1 | 4 | yes | — |
| 377 | #431 | C22×C8 | 1 | 4 | yes | — |
| 378 | #431 | C22×C8 | 1 | 4 | yes | — |
| 379 | #431 | C22×C8 | 1 | 8 | yes | — |
| 380 | #431 | C22×C8 | 1 | 8 | yes | — |
| 381 | #431 | C22×C8 | 1 | 4 | yes | — |
| 382 | #431 | C22×C8 | 1 | 8 | yes | — |
| 383 | #424 | — | 2 | 4 | no | — |
| 384 | #424 | C4×C8 | 1 | 2 | yes | — |
| 385 | #424 | C4×C8 | 1 | 2 | yes | — |
| 386 | #423 | — | 2 | 2 | no | — |
| 387 | #423 | C4×C8 | 1 | 1 | yes | characteristic |
| 388 | #423 | C4×C8 | 1 | 1 | yes | characteristic |
| 389 | #408 | — | 2 | 4 | no | — |
| 390 | #408 | C4×C8 | 1 | 2 | yes | — |
| 391 | #408 | C4×C8 | 1 | 2 | yes | — |
| 392 | #407 | — | 2 | 2 | no | — |
| 393 | #407 | C4×C8 | 1 | 2 | yes | — |
| 394 | #405 | — | 2 | 4 | no | — |
| 395 | #405 | — | 2 | 8 | no | — |
| 396 | #405 | C2×C42 | 1 | 2 | yes | — |
| 397 | #405 | C2×C42 | 1 | 4 | yes | — |
| 398 | #405 | C22×C8 | 1 | 2 | yes | — |
| 399 | #405 | C22×C8 | 1 | 4 | yes | — |
| 400 | C4×M16 | C22×C8 | 1 | 4 | yes | — |
| 401 | C4×M16 | C22×C8 | 1 | 8 | yes | — |
| 402 | C4×M16 | C22×C8 | 1 | 2 | yes | — |
| 403 | C4×M16 | C22×C8 | 1 | 4 | yes | — |
| 404 | C2×C4×C8 | — | 2 | 2 | no | — |
| 405 | C2×C4×C8 | — | 2 | 2 | no | — |
| 406 | C2×C4×C8 | — | 2 | 2 | no | — |
| 407 | C2×C4×C8 | C2×C42 | 1 | 1 | yes | characteristic |
| 408 | C2×C4×C8 | C2×C42 | 1 | 2 | yes | — |
| 409 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 410 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 411 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 412 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 413 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 414 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 415 | C2×C4×C8 | C22×C8 | 1 | 8 | yes | — |
| 416 | C2×C4×C8 | C22×C8 | 1 | 1 | yes | characteristic |
| 417 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 418 | C2×C4×C8 | C22×C8 | 1 | 1 | yes | characteristic |
| 419 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 420 | C2×C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 421 | C2×C4×C8 | C23×C4 | 1 | 2 | yes | — |
| 422 | C2×C4×C8 | C23×C4 | 1 | 4 | yes | — |
| 423 | M64 | — | 2 | 16 | no | — |
| 424 | M64 | — | 4 | 8 | no | — |
| 425 | M64 | — | 4 | 8 | no | — |
| 426 | M64 | — | 4 | 16 | no | — |
| 427 | C2×C32 | — | 2 | 8 | no | — |
| 428 | C2×C32 | — | 2 | 8 | no | — |
| 429 | C2×C32 | — | 4 | 16 | no | — |
| 430 | C2×C32 | C23×C4 | 1 | 4 | yes | — |
| 431 | C2×C32 | C23×C4 | 1 | 4 | yes | — |
| 432 | C2×C32 | C23×C4 | 1 | 8 | yes | — |
| 433 | C2×C32 | C23×C4 | 1 | 16 | yes | — |
| 434 | C4⋊C16 | C2×C42 | 1 | 8 | yes | — |
| 435 | C4⋊C16 | C2×C42 | 1 | 16 | yes | — |
| 436 | C4⋊C16 | C22×C8 | 1 | 8 | yes | — |
| 437 | C4⋊C16 | C22×C8 | 1 | 16 | yes | — |
| 438 | C22⋊C16 | C2×C42 | 1 | 8 | yes | — |
| 439 | C22⋊C16 | C2×C42 | 1 | 16 | yes | — |
| 440 | C22⋊C16 | C22×C8 | 1 | 8 | yes | — |
| 441 | C22⋊C16 | C22×C8 | 1 | 16 | yes | — |
| 442 | #346 | C2×C42 | 1 | 4 | yes | — |
| 443 | #346 | C2×C42 | 1 | 8 | yes | — |
| 444 | #346 | C22×C8 | 1 | 4 | yes | — |
| 445 | #346 | C22×C8 | 1 | 8 | yes | — |
| 446 | C4×C16 | C2×C42 | 1 | 2 | yes | — |
| 447 | C4×C16 | C2×C42 | 1 | 4 | yes | — |
| 448 | C4×C16 | C22×C8 | 1 | 2 | yes | — |
| 449 | C4×C16 | C22×C8 | 1 | 2 | yes | — |
| 450 | C4×C16 | C22×C8 | 1 | 4 | yes | — |
| 451 | C4×C16 | C22×C8 | 1 | 4 | yes | — |
| 452 | C4×C16 | C22×C8 | 1 | 8 | yes | — |
| 453 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 454 | C4×C16 | C23×C4 | 1 | 4 | yes | — |
| 455 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 456 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 457 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 458 | C4×C16 | C23×C4 | 1 | 4 | yes | — |
| 459 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 460 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 461 | C4×C16 | C23×C4 | 1 | 4 | yes | — |
| 462 | C4×C16 | C23×C4 | 1 | 8 | yes | — |
| 463 | C4×C16 | C25 | 1 | 1 | yes | characteristic |
| 464 | #322 | C22×C8 | 1 | 4 | yes | — |
| 465 | #322 | C22×C8 | 1 | 8 | yes | — |
| 466 | #322 | C22×C8 | 1 | 8 | yes | — |
| 467 | #322 | C22×C8 | 1 | 8 | yes | — |
| 468 | #322 | C22×C8 | 1 | 8 | yes | — |
| 469 | C82 | C22×C8 | 1 | 2 | yes | — |
| 470 | C82 | C22×C8 | 1 | 2 | yes | — |
| 471 | C82 | C22×C8 | 1 | 2 | yes | — |
| 472 | C82 | C22×C8 | 1 | 2 | yes | — |
| 473 | C82 | C22×C8 | 1 | 1 | yes | characteristic |
| 474 | C82 | C22×C8 | 1 | 2 | yes | — |
| 475 | C82 | C22×C8 | 1 | 1 | yes | characteristic |
| 476 | C82 | C22×C8 | 1 | 8 | yes | — |
| 477 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 478 | C82 | C23×C4 | 1 | 4 | yes | — |
| 479 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 480 | C82 | C23×C4 | 1 | 2 | yes | — |
| 481 | C2×#41 | C2×C4×C8 | 1 | 2 | yes | — |
| 482 | C2×#41 | C2×M32 | 1 | 4 | yes | — |
| 483 | C23×C4 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 484 | C23×C4 | C2×M32 | 1 | 2 | yes | — |
| 485 | #131 | — | 2 | 8 | no | — |
| 486 | #131 | — | 2 | 8 | no | — |
| 487 | #131 | — | 8 | 8 | no | — |
| 488 | C2×M16 | — | 2 | 4 | no | — |
| 489 | C2×M16 | — | 2 | 8 | no | — |
| 490 | C2×M16 | C2×C4×C8 | 1 | 2 | yes | — |
| 491 | C2×M16 | C2×C4×C8 | 1 | 4 | yes | — |
| 492 | C2×M16 | C2×C4×C8 | 1 | 2 | yes | — |
| 493 | C2×M16 | C2×C4×C8 | 1 | 4 | yes | — |
| 494 | C22×C8 | — | 2 | 4 | no | — |
| 495 | C22×C8 | — | 2 | 4 | no | — |
| 496 | C22×C8 | — | 2 | 2 | no | — |
| 497 | C22×C8 | — | 2 | 2 | no | — |
| 498 | C22×C8 | — | 2 | 2 | no | — |
| 499 | C22×C8 | — | 2 | 2 | no | — |
| 500 | C22×C8 | — | 2 | 2 | no | — |
| 501 | C22×C8 | — | 2 | 2 | no | — |
| 502 | C22×C8 | — | 2 | 8 | no | — |
| 503 | C22×C8 | — | 8 | 4 | no | — |
| 504 | C22×C8 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 505 | C22×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 506 | C22×C8 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 507 | C22×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 508 | C22×C8 | C22×C42 | 1 | 2 | yes | — |
| 509 | C22×C8 | C22×C42 | 1 | 4 | yes | — |
| 510 | C22×C8 | C22×C42 | 1 | 1 | yes | characteristic |
| 511 | C22×C8 | C23×C8 | 1 | 2 | yes | — |
| 512 | C22×C8 | C23×C8 | 1 | 4 | yes | — |
| 513 | C22×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 514 | C4⋊Q8 | #346 | 1 | 1 | yes | characteristic |
| 515 | C4⋊Q8 | #346 | 1 | 2 | yes | — |
| 516 | #127 | #346 | 1 | 1 | yes | characteristic |
| 517 | #126 | #346 | 1 | 8 | yes | — |
| 518 | #125 | #346 | 1 | 4 | yes | — |
| 519 | #125 | #346 | 1 | 2 | yes | — |
| 520 | #124 | #346 | 1 | 4 | yes | — |
| 521 | #124 | #346 | 1 | 2 | yes | — |
| 522 | #123 | #346 | 1 | 4 | yes | — |
| 523 | #123 | #346 | 1 | 8 | yes | — |
| 524 | C22⋊Q8 | #346 | 1 | 4 | yes | — |
| 525 | C22⋊Q8 | #346 | 1 | 4 | yes | — |
| 526 | C22⋊Q8 | #346 | 1 | 4 | yes | — |
| 527 | #121 | #346 | 1 | 4 | yes | — |
| 528 | #121 | #346 | 1 | 4 | yes | — |
| 529 | #121 | #346 | 1 | 4 | yes | — |
| 530 | #120 | #346 | 1 | 4 | yes | — |
| 531 | C4×Q8 | C2×C4×C8 | 1 | 4 | yes | — |
| 532 | C4×Q8 | C2×M32 | 1 | 4 | yes | — |
| 533 | C4×Q8 | C2×M32 | 1 | 4 | yes | — |
| 534 | C4×D4 | C2×C4×C8 | 1 | 8 | yes | — |
| 535 | C4×D4 | C2×C4×C8 | 1 | 4 | yes | — |
| 536 | C4×D4 | C2×M32 | 1 | 8 | yes | — |
| 537 | C4×D4 | C2×M32 | 1 | 8 | yes | — |
| 538 | C4×D4 | C2×M32 | 1 | 4 | yes | — |
| 539 | C4×D4 | C2×M32 | 1 | 4 | yes | — |
| 540 | #117 | C2×C4×C8 | 1 | 2 | yes | — |
| 541 | #117 | C2×C4×C8 | 1 | 4 | yes | — |
| 542 | #117 | C2×M32 | 1 | 4 | yes | — |
| 543 | #117 | C2×M32 | 1 | 8 | yes | — |
| 544 | C2×C42 | C2×C4×C8 | 1 | 2 | yes | — |
| 545 | C2×C42 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 546 | C2×C42 | C2×M32 | 1 | 2 | yes | — |
| 547 | C2×C42 | C2×M32 | 1 | 2 | yes | — |
| 548 | C2×C42 | C2×M32 | 1 | 2 | yes | — |
| 549 | C2×C42 | C23×C8 | 1 | 4 | yes | — |
| 550 | C2×C42 | C23×C8 | 1 | 1 | yes | characteristic |
| 551 | C2×C42 | C23×C8 | 1 | 2 | yes | — |
| 552 | M32 | — | 2 | 8 | no | — |
| 553 | M32 | — | 2 | 8 | no | — |
| 554 | M32 | — | 2 | 16 | no | — |
| 555 | M32 | — | 2 | 16 | no | — |
| 556 | C2×C16 | — | 2 | 4 | no | — |
| 557 | C2×C16 | — | 2 | 4 | no | — |
| 558 | C2×C16 | — | 2 | 8 | no | — |
| 559 | C2×C16 | — | 2 | 8 | no | — |
| 560 | C2×C16 | — | 2 | 8 | no | — |
| 561 | C2×C16 | — | 2 | 16 | no | — |
| 562 | C2×C16 | — | 2 | 16 | no | — |
| 563 | C2×C16 | — | 2 | 8 | no | — |
| 564 | C2×C16 | #504 | 1 | 8 | yes | — |
| 565 | C2×C16 | C22×C42 | 1 | 4 | yes | — |
| 566 | C2×C16 | C22×C42 | 1 | 8 | yes | — |
| 567 | C2×C16 | C22×C42 | 1 | 2 | yes | — |
| 568 | C2×C16 | C23×C8 | 1 | 4 | yes | — |
| 569 | C2×C16 | C23×C8 | 1 | 8 | yes | — |
| 570 | C2×C16 | C23×C8 | 1 | 2 | yes | — |
| 571 | C2×C16 | C23×C8 | 1 | 2 | yes | — |
| 572 | C2×C16 | #568 | 1 | 8 | yes | — |
| 573 | C2×C16 | C24×C4 | 1 | 2 | yes | — |
| 574 | C4⋊C8 | — | 2 | 4 | no | — |
| 575 | C4⋊C8 | — | 2 | 4 | no | — |
| 576 | C4⋊C8 | — | 2 | 8 | no | — |
| 577 | C4⋊C8 | — | 2 | 8 | no | — |
| 578 | C4⋊C8 | C2×C4×C8 | 1 | 4 | yes | — |
| 579 | C4⋊C8 | C2×C4×C8 | 1 | 4 | yes | — |
| 580 | C4⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 581 | C4⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 582 | C22⋊C8 | — | 2 | 4 | no | — |
| 583 | C22⋊C8 | — | 2 | 4 | no | — |
| 584 | C22⋊C8 | — | 2 | 8 | no | — |
| 585 | C22⋊C8 | — | 2 | 8 | no | — |
| 586 | C22⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 587 | C22⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 588 | C22⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 589 | #97 | — | 2 | 4 | no | — |
| 590 | #97 | — | 2 | 8 | no | — |
| 591 | #97 | C2×C4×C8 | 1 | 4 | yes | — |
| 592 | #97 | C2×C4×C8 | 1 | 4 | yes | — |
| 593 | #97 | C2×C4×C8 | 1 | 4 | yes | — |
| 594 | C4×C8 | — | 2 | 2 | no | — |
| 595 | C4×C8 | — | 2 | 2 | no | — |
| 596 | C4×C8 | — | 2 | 2 | no | — |
| 597 | C4×C8 | — | 2 | 2 | no | — |
| 598 | C4×C8 | — | 2 | 2 | no | — |
| 599 | C4×C8 | — | 2 | 2 | no | — |
| 600 | C4×C8 | — | 2 | 8 | no | — |
| 601 | C4×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 602 | C4×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 603 | C4×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 604 | C4×C8 | C22×C42 | 1 | 1 | yes | characteristic |
| 605 | C4×C8 | C22×C42 | 1 | 2 | yes | — |
| 606 | C4×C8 | C22×C42 | 1 | 4 | yes | — |
| 607 | C4×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 608 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 609 | C4×C8 | C23×C8 | 1 | 4 | yes | — |
| 610 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 611 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 612 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 613 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 614 | C4×C8 | C23×C8 | 1 | 8 | yes | — |
| 615 | C4×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 616 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 617 | C4×C8 | C23×C8 | 1 | 4 | yes | — |
| 618 | C4×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 619 | C32 | — | 2 | 4 | no | — |
| 620 | C32 | — | 2 | 8 | no | — |
| 621 | C32 | — | 2 | 4 | no | — |
| 622 | C32 | — | 2 | 16 | no | — |
| 623 | C24 | C2×#346 | 1 | 1 | yes | characteristic |
| 624 | #41 | — | 2 | 4 | no | — |
| 625 | #41 | — | 2 | 4 | no | — |
| 626 | #41 | — | 4 | 8 | no | — |
| 627 | C2×Q8 | C2×#346 | 1 | 4 | yes | — |
| 628 | C2×Q8 | C2×#346 | 1 | 2 | yes | — |
| 629 | C2×D4 | C2×#346 | 1 | 4 | yes | — |
| 630 | C2×D4 | C2×#346 | 1 | 4 | yes | — |
| 631 | C2×D4 | C2×#346 | 1 | 2 | yes | — |
| 632 | C2×D4 | C2×#346 | 1 | 8 | yes | — |
| 633 | C22×C4 | — | 2 | 2 | no | — |
| 634 | C22×C4 | — | 2 | 2 | no | — |
| 635 | C22×C4 | — | 4 | 4 | no | — |
| 636 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 637 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 638 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 639 | C22×C4 | C2×#346 | 1 | 1 | yes | characteristic |
| 640 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 641 | C22×C4 | C22×C4×C8 | 1 | 2 | yes | — |
| 642 | C22×C4 | C22×C4×C8 | 1 | 4 | yes | — |
| 643 | C22×C4 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 644 | C22×C4 | C22×M32 | 1 | 2 | yes | — |
| 645 | C22×C4 | C22×M32 | 1 | 2 | yes | — |
| 646 | C22×C4 | C22×M32 | 1 | 2 | yes | — |
| 647 | C22×C4 | C22×M32 | 1 | 8 | yes | — |
| 648 | M16 | — | 2 | 4 | no | — |
| 649 | M16 | — | 2 | 4 | no | — |
| 650 | M16 | — | 2 | 8 | no | — |
| 651 | M16 | — | 2 | 8 | no | — |
| 652 | M16 | — | 4 | 8 | no | — |
| 653 | M16 | — | 8 | 8 | no | — |
| 654 | C2×C8 | — | 2 | 2 | no | — |
| 655 | C2×C8 | — | 2 | 2 | no | — |
| 656 | C2×C8 | — | 2 | 4 | no | — |
| 657 | C2×C8 | — | 2 | 4 | no | — |
| 658 | C2×C8 | — | 2 | 8 | no | — |
| 659 | C2×C8 | — | 2 | 4 | no | — |
| 660 | C2×C8 | — | 2 | 8 | no | — |
| 661 | C2×C8 | — | 2 | 4 | no | — |
| 662 | C2×C8 | — | 2 | 2 | no | — |
| 663 | C2×C8 | — | 2 | 2 | no | — |
| 664 | C2×C8 | — | 2 | 2 | no | — |
| 665 | C2×C8 | — | 2 | 2 | no | — |
| 666 | C2×C8 | — | 2 | 8 | no | — |
| 667 | C2×C8 | — | 4 | 4 | no | — |
| 668 | C2×C8 | — | 4 | 4 | no | — |
| 669 | C2×C8 | — | 8 | 2 | no | — |
| 670 | C2×C8 | — | 8 | 2 | no | — |
| 671 | C2×C8 | — | 8 | 2 | no | — |
| 672 | C2×C8 | — | 8 | 2 | no | — |
| 673 | C2×C8 | — | 8 | 8 | no | — |
| 674 | C2×C8 | C22×C4×C8 | 1 | 2 | yes | — |
| 675 | C2×C8 | C22×C4×C8 | 1 | 4 | yes | — |
| 676 | C2×C8 | C22×C4×C8 | 1 | 2 | yes | — |
| 677 | C2×C8 | C22×C4×C8 | 1 | 4 | yes | — |
| 678 | C2×C8 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 679 | C2×C8 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 680 | C2×C8 | #2875 | 1 | 4 | yes | — |
| 681 | C2×C8 | C2×#504 | 1 | 4 | yes | — |
| 682 | C2×C8 | C23×C42 | 1 | 1 | yes | characteristic |
| 683 | C2×C8 | C24×C8 | 1 | 1 | yes | characteristic |
| 684 | C4⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 685 | C4⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 686 | C4⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 687 | C4⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 688 | C4⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 689 | C4⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 690 | C22⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 691 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 692 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 693 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 694 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 695 | C42 | C2×#346 | 1 | 1 | yes | characteristic |
| 696 | C42 | C2×#346 | 1 | 2 | yes | — |
| 697 | C42 | C2×#346 | 1 | 2 | yes | — |
| 698 | C42 | C2×#346 | 1 | 1 | yes | characteristic |
| 699 | C42 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 700 | C42 | C22×C4×C8 | 1 | 2 | yes | — |
| 701 | C42 | C22×C4×C8 | 1 | 4 | yes | — |
| 702 | C42 | C22×M32 | 1 | 2 | yes | — |
| 703 | C42 | C22×M32 | 1 | 2 | yes | — |
| 704 | C42 | C22×M32 | 1 | 2 | yes | — |
| 705 | C42 | C22×M32 | 1 | 8 | yes | — |
| 706 | C42 | C24×C8 | 1 | 1 | yes | characteristic |
| 707 | C16 | — | 2 | 4 | no | — |
| 708 | C16 | — | 2 | 8 | no | — |
| 709 | C16 | — | 2 | 4 | no | — |
| 710 | C16 | — | 2 | 8 | no | — |
| 711 | C16 | #2875 | 1 | 4 | yes | — |
| 712 | C16 | C2×#504 | 1 | 4 | yes | — |
| 713 | C16 | C2×#504 | 1 | 4 | yes | — |
| 714 | C16 | C2×#568 | 1 | 4 | yes | — |
| 715 | C23 | — | 2 | 2 | no | — |
| 716 | C23 | — | 4 | 2 | no | — |
| 717 | C23 | C22×#346 | 1 | 4 | yes | — |
| 718 | C23 | C22×#346 | 1 | 2 | yes | — |
| 719 | C23 | C22×#346 | 1 | 1 | yes | characteristic |
| 720 | Q8 | — | 2 | 8 | no | — |
| 721 | Q8 | — | 2 | 4 | no | — |
| 722 | D4 | — | 2 | 8 | no | — |
| 723 | D4 | — | 2 | 8 | no | — |
| 724 | D4 | — | 2 | 4 | no | — |
| 725 | D4 | — | 4 | 8 | no | — |
| 726 | C2×C4 | — | 2 | 2 | no | — |
| 727 | C2×C4 | — | 2 | 2 | no | — |
| 728 | C2×C4 | — | 2 | 4 | no | — |
| 729 | C2×C4 | — | 2 | 2 | no | — |
| 730 | C2×C4 | — | 2 | 4 | no | — |
| 731 | C2×C4 | — | 2 | 4 | no | — |
| 732 | C2×C4 | — | 2 | 4 | no | — |
| 733 | C2×C4 | — | 2 | 4 | no | — |
| 734 | C2×C4 | — | 2 | 4 | no | — |
| 735 | C2×C4 | — | 4 | 2 | no | — |
| 736 | C2×C4 | — | 4 | 2 | no | — |
| 737 | C2×C4 | — | 4 | 8 | no | — |
| 738 | C2×C4 | — | 4 | 2 | no | — |
| 739 | C2×C4 | #17316 | 1 | 2 | yes | — |
| 740 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 741 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 742 | C2×C4 | C22×#346 | 1 | 8 | yes | — |
| 743 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 744 | C2×C4 | C22×#346 | 1 | 4 | yes | — |
| 745 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 746 | C2×C4 | C22×#346 | 1 | 1 | yes | characteristic |
| 747 | C2×C4 | C4×#504 | 1 | 2 | yes | — |
| 748 | C2×C4 | C23×C4×C8 | 1 | 1 | yes | characteristic |
| 749 | C2×C4 | C23×M32 | 1 | 2 | yes | — |
| 750 | C8 | — | 2 | 2 | no | — |
| 751 | C8 | — | 2 | 4 | no | — |
| 752 | C8 | — | 2 | 2 | no | — |
| 753 | C8 | — | 2 | 4 | no | — |
| 754 | C8 | — | 4 | 2 | no | — |
| 755 | C8 | — | 4 | 2 | no | — |
| 756 | C8 | — | 4 | 2 | no | — |
| 757 | C8 | — | 4 | 2 | no | — |
| 758 | C8 | — | 4 | 8 | no | — |
| 759 | C8 | #17316 | 1 | 2 | yes | — |
| 760 | C8 | C4×#504 | 1 | 2 | yes | — |
| 761 | C8 | C2×#2875 | 1 | 2 | yes | — |
| 762 | C8 | C22×#504 | 1 | 2 | yes | — |
| 763 | C22 | — | 2 | 2 | no | — |
| 764 | C22 | — | 2 | 2 | no | — |
| 765 | C22 | — | 2 | 2 | no | — |
| 766 | C22 | — | 2 | 8 | no | — |
| 767 | C22 | — | 2 | 2 | no | — |
| 768 | C22 | — | 2 | 4 | no | — |
| 769 | C22 | — | 4 | 4 | no | — |
| 770 | C22 | #479949 | 1 | 2 | yes | — |
| 771 | C22 | C23×#346 | 1 | 1 | yes | characteristic |
| 772 | C4 | — | 2 | 2 | no | — |
| 773 | C4 | — | 2 | 2 | no | — |
| 774 | C4 | — | 2 | 2 | no | — |
| 775 | C4 | — | 2 | 8 | no | — |
| 776 | C4 | — | 2 | 2 | no | — |
| 777 | C4 | — | 2 | 4 | no | — |
| 778 | C4 | #479949 | 1 | 2 | yes | — |
| 779 | C4 | #512548 | 1 | 4 | yes | — |
| 780 | C4 | C2×#17316 | 1 | 1 | yes | characteristic |
| 781 | C4 | C2×C4×#504 | 1 | 1 | yes | characteristic |
| 782 | C2 | — | 2 | 2 | no | — |
| 783 | C2 | — | 4 | 4 | no | — |
| 784 | C2 | — | 4 | 2 | no | — |
| 785 | C2 | C2×#512548 | 1 | 2 | yes | — |
| 786 | C2 | C2×#479949 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta