← #72231908
Subgroups — #72231908
Order 2048.
3610 conjugacy classes of subgroups.
The subgroup lattice has 773 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72231905 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72231904 | C2 | 1 | 8 | yes | maximal, complemented |
| 3 | #72231885 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #72231881 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72231876 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C22×#7332 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72231862 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #72231859 | C2 | 1 | 2 | yes | maximal |
| 9 | #72231858 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72231856 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #7622657 | C4 | 1 | 1 | yes | characteristic |
| 12 | #7622657 | C22 | 1 | 1 | yes | characteristic |
| 13 | #6342481 | C4 | 1 | 1 | yes | characteristic |
| 14 | #512795 | C22 | 1 | 16 | yes | — |
| 15 | #512793 | C4 | 1 | 16 | yes | — |
| 16 | #512785 | C4 | 1 | 4 | yes | — |
| 17 | #512745 | C4 | 1 | 4 | yes | — |
| 18 | #512742 | C4 | 1 | 8 | yes | — |
| 19 | #512731 | C22 | 1 | 4 | yes | — |
| 20 | #512728 | C22 | 1 | 2 | yes | — |
| 21 | #512545 | C22 | 1 | 4 | yes | — |
| 22 | C22×#1397 | C22 | 1 | 2 | yes | — |
| 23 | #479945 | C4 | 1 | 4 | yes | — |
| 24 | #479944 | C4 | 1 | 4 | yes | — |
| 25 | #479944 | C22 | 1 | 4 | yes | — |
| 26 | #479943 | C22 | 1 | 4 | yes | — |
| 27 | #479927 | C4 | 1 | 2 | yes | — |
| 28 | #479924 | C4 | 1 | 1 | yes | characteristic |
| 29 | #479917 | C4 | 1 | 2 | yes | — |
| 30 | #479917 | C22 | 1 | 2 | yes | — |
| 31 | #479914 | C4 | 1 | 1 | yes | characteristic |
| 32 | #479914 | C22 | 1 | 1 | yes | characteristic |
| 33 | #479899 | C22 | 1 | 2 | yes | — |
| 34 | C22×#1311 | C22 | 1 | 1 | yes | characteristic |
| 35 | #149514 | C22 | 1 | 8 | yes | complemented |
| 36 | #149513 | C22 | 1 | 4 | yes | — |
| 37 | #149513 | C22 | 1 | 4 | yes | — |
| 38 | #149513 | C22 | 1 | 8 | yes | complemented |
| 39 | #149509 | C22 | 1 | 16 | yes | complemented |
| 40 | #149508 | C22 | 1 | 16 | yes | — |
| 41 | #149508 | C22 | 1 | 16 | yes | complemented |
| 42 | #149502 | C22 | 1 | 2 | yes | — |
| 43 | #149502 | C22 | 1 | 4 | yes | complemented |
| 44 | #149501 | C22 | 1 | 4 | yes | — |
| 45 | #149501 | C22 | 1 | 8 | yes | complemented |
| 46 | C2×#7332 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#7332 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#7332 | C22 | 1 | 4 | yes | — |
| 49 | C2×#7332 | C22 | 1 | 4 | yes | — |
| 50 | C2×#7332 | C22 | 1 | 2 | yes | — |
| 51 | C2×#7332 | C22 | 1 | 4 | yes | complemented |
| 52 | #149496 | C22 | 1 | 4 | yes | — |
| 53 | #149495 | C22 | 1 | 2 | yes | — |
| 54 | #60204 | C8 | 1 | 2 | yes | — |
| 55 | #60204 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C2×#2258 | C2×C4 | 1 | 8 | yes | — |
| 57 | C23×C32 | C2×C4 | 1 | 4 | yes | — |
| 58 | #33480 | C8 | 1 | 8 | yes | — |
| 59 | #33480 | C2×C4 | 1 | 8 | yes | — |
| 60 | #33479 | C2×C4 | 1 | 4 | yes | — |
| 61 | #33479 | C2×C4 | 1 | 4 | yes | — |
| 62 | C16×#41 | C2×C4 | 1 | 4 | yes | — |
| 63 | C16×#41 | C23 | 1 | 4 | yes | — |
| 64 | #33474 | C8 | 1 | 2 | yes | — |
| 65 | #33474 | C2×C4 | 1 | 2 | yes | — |
| 66 | #33434 | C8 | 1 | 2 | yes | — |
| 67 | #33434 | C2×C4 | 1 | 2 | yes | — |
| 68 | #33432 | C8 | 1 | 4 | yes | — |
| 69 | #33432 | C2×C4 | 1 | 4 | yes | — |
| 70 | #33420 | C2×C4 | 1 | 2 | yes | — |
| 71 | #33420 | C2×C4 | 1 | 2 | yes | — |
| 72 | #33418 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | #33418 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | C4×#504 | C2×C4 | 1 | 2 | yes | — |
| 75 | C4×#504 | C23 | 1 | 2 | yes | — |
| 76 | C22×C4×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C22×C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 78 | #17335 | C8 | 1 | 4 | yes | — |
| 79 | #17335 | C2×C4 | 1 | 2 | yes | — |
| 80 | #17328 | C8 | 1 | 4 | yes | — |
| 81 | #17328 | C8 | 1 | 4 | yes | — |
| 82 | #17328 | C2×C4 | 1 | 4 | yes | — |
| 83 | #17323 | C8 | 1 | 2 | yes | — |
| 84 | #17323 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | C8×#131 | C2×C4 | 1 | 4 | yes | — |
| 86 | C8×#131 | C2×C4 | 1 | 2 | yes | — |
| 87 | C22×C82 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #13660 | C2×C4 | 1 | 32 | yes | — |
| 89 | #13645 | C2×C4 | 1 | 32 | yes | — |
| 90 | #13645 | C2×C4 | 1 | 32 | yes | — |
| 91 | D4×C32 | C2×C4 | 1 | 32 | yes | — |
| 92 | #13641 | C2×C4 | 1 | 16 | yes | — |
| 93 | #13640 | C23 | 1 | 8 | yes | — |
| 94 | #13640 | C23 | 1 | 16 | yes | — |
| 95 | #13639 | C2×C4 | 1 | 8 | yes | — |
| 96 | #13628 | C2×C4 | 1 | 8 | yes | — |
| 97 | #13627 | C2×C4 | 1 | 4 | yes | — |
| 98 | #13554 | C2×C4 | 1 | 8 | yes | — |
| 99 | #13553 | C2×C4 | 1 | 4 | yes | — |
| 100 | #13549 | C2×C4 | 1 | 8 | yes | — |
| 101 | #13549 | C2×C4 | 1 | 16 | yes | — |
| 102 | C4×M64 | C23 | 1 | 8 | yes | — |
| 103 | C4×M64 | C23 | 1 | 4 | yes | — |
| 104 | C2×#1397 | C2×C4 | 1 | 4 | yes | — |
| 105 | C2×#1397 | C2×C4 | 1 | 8 | yes | — |
| 106 | C2×#1397 | C23 | 1 | 8 | yes | — |
| 107 | C2×#1397 | C23 | 1 | 8 | yes | — |
| 108 | C2×#1397 | C23 | 1 | 2 | yes | — |
| 109 | C2×#1397 | C23 | 1 | 2 | yes | — |
| 110 | #11412 | C2×C4 | 1 | 8 | yes | — |
| 111 | #11411 | C2×C4 | 1 | 4 | yes | — |
| 112 | #11411 | C2×C4 | 1 | 8 | yes | — |
| 113 | #11410 | C2×C4 | 1 | 4 | yes | — |
| 114 | #11409 | C2×C4 | 1 | 8 | yes | — |
| 115 | #11409 | C2×C4 | 1 | 8 | yes | — |
| 116 | #11408 | C2×C4 | 1 | 4 | yes | — |
| 117 | #11408 | C2×C4 | 1 | 8 | yes | — |
| 118 | #11408 | C23 | 1 | 4 | yes | — |
| 119 | #11408 | C23 | 1 | 8 | yes | — |
| 120 | C16×M16 | C2×C4 | 1 | 4 | yes | — |
| 121 | C16×M16 | C2×C4 | 1 | 4 | yes | — |
| 122 | #11402 | C2×C4 | 1 | 2 | yes | — |
| 123 | #11401 | C2×C4 | 1 | 2 | yes | — |
| 124 | #11401 | C2×C4 | 1 | 2 | yes | — |
| 125 | #11399 | C2×C4 | 1 | 2 | yes | — |
| 126 | #11399 | C2×C4 | 1 | 4 | yes | — |
| 127 | #11399 | C23 | 1 | 4 | yes | — |
| 128 | #11399 | C23 | 1 | 2 | yes | — |
| 129 | C8×M32 | C2×C4 | 1 | 2 | yes | — |
| 130 | C8×M32 | C2×C4 | 1 | 4 | yes | — |
| 131 | C2×#1311 | C2×C4 | 1 | 1 | yes | characteristic |
| 132 | C2×#1311 | C2×C4 | 1 | 1 | yes | characteristic |
| 133 | C2×#1311 | C2×C4 | 1 | 2 | yes | — |
| 134 | C2×#1311 | C2×C4 | 1 | 2 | yes | — |
| 135 | C2×#1311 | C23 | 1 | 2 | yes | — |
| 136 | C2×#1311 | C23 | 1 | 2 | yes | — |
| 137 | C2×#1311 | C23 | 1 | 4 | yes | — |
| 138 | C2×#1311 | C23 | 1 | 1 | yes | characteristic |
| 139 | C2×#1311 | C23 | 1 | 1 | yes | characteristic |
| 140 | #7332 | C23 | 1 | 8 | yes | — |
| 141 | #7332 | C23 | 1 | 8 | yes | — |
| 142 | #7332 | C23 | 1 | 8 | yes | — |
| 143 | #7332 | C23 | 1 | 4 | yes | — |
| 144 | #7332 | C23 | 1 | 4 | yes | — |
| 145 | #7332 | C23 | 1 | 2 | yes | — |
| 146 | #7332 | C23 | 1 | 2 | yes | — |
| 147 | #7332 | C23 | 1 | 2 | yes | — |
| 148 | #7332 | C23 | 1 | 2 | yes | — |
| 149 | #7330 | C23 | 1 | 16 | yes | — |
| 150 | #7330 | C23 | 1 | 8 | yes | — |
| 151 | #3444 | C2×C8 | 1 | 1 | yes | characteristic |
| 152 | C2×#504 | C2×C8 | 1 | 4 | yes | — |
| 153 | C2×#504 | C22×C4 | 1 | 4 | yes | — |
| 154 | C23×C16 | C2×C8 | 1 | 2 | yes | — |
| 155 | C23×C16 | C22×C4 | 1 | 2 | yes | — |
| 156 | #2966 | — | 2 | 4 | no | — |
| 157 | #2966 | — | 2 | 4 | no | — |
| 158 | #2966 | C42 | 1 | 4 | yes | — |
| 159 | #2966 | C2×C8 | 1 | 4 | yes | — |
| 160 | #2965 | C2×C8 | 1 | 4 | yes | — |
| 161 | #2965 | C2×C8 | 1 | 4 | yes | — |
| 162 | #2965 | C2×C8 | 1 | 4 | yes | — |
| 163 | C8×#41 | C2×C8 | 1 | 4 | yes | — |
| 164 | C8×#41 | C2×C8 | 1 | 4 | yes | — |
| 165 | C8×#41 | C22×C4 | 1 | 4 | yes | — |
| 166 | #2960 | — | 2 | 2 | no | — |
| 167 | #2960 | C42 | 1 | 1 | yes | characteristic |
| 168 | #2960 | C2×C8 | 1 | 1 | yes | characteristic |
| 169 | #2931 | — | 2 | 2 | no | — |
| 170 | #2931 | C42 | 1 | 1 | yes | characteristic |
| 171 | #2931 | C2×C8 | 1 | 1 | yes | characteristic |
| 172 | #2929 | — | 2 | 4 | no | — |
| 173 | #2929 | C42 | 1 | 2 | yes | — |
| 174 | #2929 | C2×C8 | 1 | 2 | yes | — |
| 175 | #2922 | C2×C8 | 1 | 4 | yes | — |
| 176 | #2922 | C2×C8 | 1 | 2 | yes | — |
| 177 | #2920 | C2×C8 | 1 | 2 | yes | — |
| 178 | #2920 | C2×C8 | 1 | 1 | yes | characteristic |
| 179 | C4×#131 | C2×C8 | 1 | 4 | yes | — |
| 180 | C4×#131 | C22×C4 | 1 | 2 | yes | — |
| 181 | C22×C4×C8 | C2×C8 | 1 | 2 | yes | — |
| 182 | C22×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 183 | #2258 | — | 4 | 16 | no | — |
| 184 | C2×M64 | C22×C4 | 1 | 8 | yes | — |
| 185 | C2×M64 | C22×C4 | 1 | 16 | yes | — |
| 186 | C22×C32 | — | 4 | 8 | no | — |
| 187 | C22×C32 | C22×C4 | 1 | 4 | yes | — |
| 188 | C22×C32 | C22×C4 | 1 | 4 | yes | — |
| 189 | C22×C32 | C22×C4 | 1 | 16 | yes | — |
| 190 | C22×C32 | C22×C4 | 1 | 16 | yes | — |
| 191 | #2183 | C42 | 1 | 8 | yes | — |
| 192 | #2183 | C2×C8 | 1 | 8 | yes | — |
| 193 | Q8×C16 | C2×C8 | 1 | 8 | yes | — |
| 194 | Q8×C16 | C22×C4 | 1 | 8 | yes | — |
| 195 | #2169 | C42 | 1 | 8 | yes | — |
| 196 | #2169 | C2×C8 | 1 | 8 | yes | — |
| 197 | #2168 | C42 | 1 | 16 | yes | — |
| 198 | #2168 | C2×C8 | 1 | 16 | yes | — |
| 199 | D4×C16 | C2×C8 | 1 | 16 | yes | — |
| 200 | D4×C16 | C2×C8 | 1 | 8 | yes | — |
| 201 | D4×C16 | C22×C4 | 1 | 16 | yes | — |
| 202 | D4×C16 | C22×C4 | 1 | 8 | yes | — |
| 203 | #2164 | C42 | 1 | 8 | yes | — |
| 204 | #2164 | C2×C8 | 1 | 8 | yes | — |
| 205 | #2163 | C42 | 1 | 4 | yes | — |
| 206 | #2163 | C2×C8 | 1 | 4 | yes | — |
| 207 | #2162 | C22×C4 | 1 | 4 | yes | — |
| 208 | #2162 | C22×C4 | 1 | 8 | yes | — |
| 209 | #2162 | C22×C4 | 1 | 4 | yes | — |
| 210 | #2162 | C22×C4 | 1 | 8 | yes | — |
| 211 | #2151 | C42 | 1 | 4 | yes | — |
| 212 | #2151 | C2×C8 | 1 | 4 | yes | — |
| 213 | #2150 | C42 | 1 | 2 | yes | — |
| 214 | #2150 | C2×C8 | 1 | 2 | yes | — |
| 215 | #2113 | C42 | 1 | 4 | yes | — |
| 216 | #2113 | C2×C8 | 1 | 4 | yes | — |
| 217 | #2112 | C42 | 1 | 2 | yes | — |
| 218 | #2112 | C2×C8 | 1 | 2 | yes | — |
| 219 | #2108 | C2×C8 | 1 | 4 | yes | — |
| 220 | #2108 | C2×C8 | 1 | 8 | yes | — |
| 221 | #2108 | C22×C4 | 1 | 4 | yes | — |
| 222 | #2108 | C22×C4 | 1 | 8 | yes | — |
| 223 | C4×M32 | C22×C4 | 1 | 2 | yes | — |
| 224 | C4×M32 | C22×C4 | 1 | 4 | yes | — |
| 225 | C4×M32 | C22×C4 | 1 | 2 | yes | — |
| 226 | C4×M32 | C22×C4 | 1 | 4 | yes | — |
| 227 | C2×C4×C16 | C2×C8 | 1 | 2 | yes | — |
| 228 | C2×C4×C16 | C2×C8 | 1 | 4 | yes | — |
| 229 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 230 | C2×C4×C16 | C22×C4 | 1 | 4 | yes | — |
| 231 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 232 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 233 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 234 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 235 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 236 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 237 | C2×C4×C16 | C22×C4 | 1 | 4 | yes | — |
| 238 | C2×C4×C16 | C24 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×C16 | C24 | 1 | 2 | yes | — |
| 240 | C2×C4×C16 | C24 | 1 | 4 | yes | — |
| 241 | #1455 | C2×C8 | 1 | 4 | yes | — |
| 242 | #1454 | C2×C8 | 1 | 8 | yes | — |
| 243 | #1453 | C2×C8 | 1 | 4 | yes | — |
| 244 | #1453 | C2×C8 | 1 | 8 | yes | — |
| 245 | #1452 | C2×C8 | 1 | 4 | yes | — |
| 246 | #1452 | C2×C8 | 1 | 2 | yes | — |
| 247 | #1451 | C2×C8 | 1 | 4 | yes | — |
| 248 | #1451 | C2×C8 | 1 | 4 | yes | — |
| 249 | #1451 | C2×C8 | 1 | 4 | yes | — |
| 250 | #1450 | C2×C8 | 1 | 4 | yes | — |
| 251 | #1450 | C2×C8 | 1 | 8 | yes | — |
| 252 | #1450 | C22×C4 | 1 | 2 | yes | — |
| 253 | #1450 | C22×C4 | 1 | 4 | yes | — |
| 254 | C8×M16 | C2×C8 | 1 | 4 | yes | — |
| 255 | C8×M16 | C2×C8 | 1 | 4 | yes | — |
| 256 | C8×M16 | C2×C8 | 1 | 8 | yes | — |
| 257 | C8×M16 | C2×C8 | 1 | 8 | yes | — |
| 258 | C8×M16 | C22×C4 | 1 | 4 | yes | — |
| 259 | C8×M16 | C22×C4 | 1 | 8 | yes | — |
| 260 | C2×C82 | C2×C8 | 1 | 2 | yes | — |
| 261 | C2×C82 | C2×C8 | 1 | 2 | yes | — |
| 262 | C2×C82 | C2×C8 | 1 | 2 | yes | — |
| 263 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 264 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 265 | C2×C82 | C22×C4 | 1 | 2 | yes | — |
| 266 | C2×C82 | C22×C4 | 1 | 2 | yes | — |
| 267 | C2×C82 | C22×C4 | 1 | 4 | yes | — |
| 268 | C4⋊C32 | C22×C4 | 1 | 16 | yes | — |
| 269 | C4⋊C32 | C22×C4 | 1 | 32 | yes | — |
| 270 | C22⋊C32 | C22×C4 | 1 | 16 | yes | — |
| 271 | C22⋊C32 | C22×C4 | 1 | 32 | yes | — |
| 272 | #1397 | C22×C4 | 1 | 4 | yes | — |
| 273 | #1397 | C22×C4 | 1 | 16 | yes | — |
| 274 | #1397 | C22×C4 | 1 | 16 | yes | — |
| 275 | #1397 | C22×C4 | 1 | 4 | yes | — |
| 276 | #1397 | C24 | 1 | 4 | yes | — |
| 277 | #1397 | C24 | 1 | 8 | yes | — |
| 278 | #1397 | C24 | 1 | 4 | yes | — |
| 279 | C4×C32 | C22×C4 | 1 | 8 | yes | — |
| 280 | C4×C32 | C22×C4 | 1 | 16 | yes | — |
| 281 | #1312 | C22×C4 | 1 | 8 | yes | — |
| 282 | #1312 | C22×C4 | 1 | 8 | yes | — |
| 283 | #1312 | C22×C4 | 1 | 8 | yes | — |
| 284 | #1311 | C22×C4 | 1 | 1 | yes | characteristic |
| 285 | #1311 | C22×C4 | 1 | 1 | yes | characteristic |
| 286 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 287 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 288 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 289 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 290 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 291 | #1311 | C22×C4 | 1 | 4 | yes | — |
| 292 | #1311 | C22×C4 | 1 | 4 | yes | — |
| 293 | #1311 | C24 | 1 | 1 | yes | characteristic |
| 294 | #1311 | C24 | 1 | 1 | yes | characteristic |
| 295 | #1311 | C24 | 1 | 2 | yes | — |
| 296 | #1311 | C24 | 1 | 4 | yes | — |
| 297 | C8×C16 | C22×C4 | 1 | 4 | yes | — |
| 298 | C8×C16 | C22×C4 | 1 | 4 | yes | — |
| 299 | C8×C16 | C22×C4 | 1 | 4 | yes | — |
| 300 | C2×#131 | — | 2 | 4 | no | — |
| 301 | C2×#131 | C2×C42 | 1 | 2 | yes | — |
| 302 | C2×#131 | C22×C8 | 1 | 2 | yes | — |
| 303 | C23×C8 | — | 2 | 2 | no | — |
| 304 | C23×C8 | C2×C42 | 1 | 1 | yes | characteristic |
| 305 | C23×C8 | C22×C8 | 1 | 1 | yes | characteristic |
| 306 | #533 | C4×C8 | 1 | 1 | yes | characteristic |
| 307 | #533 | M32 | 1 | 2 | yes | — |
| 308 | #532 | C4×C8 | 1 | 1 | yes | characteristic |
| 309 | #532 | M32 | 1 | 2 | yes | — |
| 310 | #529 | C4×C8 | 1 | 4 | yes | — |
| 311 | #529 | M32 | 1 | 4 | yes | — |
| 312 | #529 | M32 | 1 | 4 | yes | — |
| 313 | #525 | C4×C8 | 1 | 2 | yes | — |
| 314 | #525 | M32 | 1 | 4 | yes | — |
| 315 | C4×#41 | C22×C8 | 1 | 2 | yes | — |
| 316 | C4×#41 | C22×C8 | 1 | 4 | yes | — |
| 317 | C22×C42 | C22×C8 | 1 | 1 | yes | characteristic |
| 318 | #504 | — | 2 | 16 | no | — |
| 319 | #504 | — | 2 | 16 | no | — |
| 320 | C2×M32 | C2×C42 | 1 | 4 | yes | — |
| 321 | C2×M32 | C2×C42 | 1 | 8 | yes | — |
| 322 | C2×M32 | C22×C8 | 1 | 4 | yes | — |
| 323 | C2×M32 | C22×C8 | 1 | 8 | yes | — |
| 324 | C22×C16 | — | 2 | 8 | no | — |
| 325 | C22×C16 | — | 2 | 8 | no | — |
| 326 | C22×C16 | C2×C42 | 1 | 2 | yes | — |
| 327 | C22×C16 | C2×C42 | 1 | 4 | yes | — |
| 328 | C22×C16 | C22×C8 | 1 | 2 | yes | — |
| 329 | C22×C16 | C22×C8 | 1 | 4 | yes | — |
| 330 | C22×C16 | C22×C8 | 1 | 4 | yes | — |
| 331 | C22×C16 | C22×C8 | 1 | 8 | yes | — |
| 332 | C22×C16 | C22×C8 | 1 | 2 | yes | — |
| 333 | C22×C16 | C23×C4 | 1 | 4 | yes | — |
| 334 | C22×C16 | C23×C4 | 1 | 8 | yes | — |
| 335 | C22×C16 | C23×C4 | 1 | 2 | yes | — |
| 336 | #446 | — | 2 | 4 | no | — |
| 337 | #446 | — | 2 | 4 | no | — |
| 338 | #446 | C4×C8 | 1 | 4 | yes | — |
| 339 | #446 | C4×C8 | 1 | 4 | yes | — |
| 340 | C8×Q8 | — | 2 | 4 | no | — |
| 341 | C8×Q8 | — | 2 | 4 | no | — |
| 342 | C8×Q8 | C2×C42 | 1 | 4 | yes | — |
| 343 | C8×Q8 | C22×C8 | 1 | 4 | yes | — |
| 344 | #436 | — | 2 | 4 | no | — |
| 345 | #436 | — | 2 | 4 | no | — |
| 346 | #436 | C4×C8 | 1 | 4 | yes | — |
| 347 | #436 | C4×C8 | 1 | 4 | yes | — |
| 348 | #435 | — | 2 | 8 | no | — |
| 349 | #435 | — | 2 | 8 | no | — |
| 350 | #435 | C4×C8 | 1 | 8 | yes | — |
| 351 | #435 | C4×C8 | 1 | 8 | yes | — |
| 352 | C8×D4 | — | 2 | 8 | no | — |
| 353 | C8×D4 | — | 2 | 8 | no | — |
| 354 | C8×D4 | — | 2 | 4 | no | — |
| 355 | C8×D4 | — | 2 | 4 | no | — |
| 356 | C8×D4 | C2×C42 | 1 | 8 | yes | — |
| 357 | C8×D4 | C2×C42 | 1 | 4 | yes | — |
| 358 | C8×D4 | C22×C8 | 1 | 8 | yes | — |
| 359 | C8×D4 | C22×C8 | 1 | 4 | yes | — |
| 360 | #433 | — | 2 | 8 | no | — |
| 361 | #433 | C4×C8 | 1 | 8 | yes | — |
| 362 | #432 | — | 2 | 2 | no | — |
| 363 | #432 | — | 2 | 2 | no | — |
| 364 | #432 | C4×C8 | 1 | 4 | yes | — |
| 365 | #431 | C22×C8 | 1 | 4 | yes | — |
| 366 | #431 | C22×C8 | 1 | 4 | yes | — |
| 367 | #431 | C22×C8 | 1 | 8 | yes | — |
| 368 | #431 | C22×C8 | 1 | 8 | yes | — |
| 369 | #431 | C22×C8 | 1 | 4 | yes | — |
| 370 | #431 | C22×C8 | 1 | 8 | yes | — |
| 371 | #424 | — | 2 | 4 | no | — |
| 372 | #424 | C4×C8 | 1 | 2 | yes | — |
| 373 | #424 | C4×C8 | 1 | 2 | yes | — |
| 374 | #423 | — | 2 | 2 | no | — |
| 375 | #423 | C4×C8 | 1 | 1 | yes | characteristic |
| 376 | #423 | C4×C8 | 1 | 1 | yes | characteristic |
| 377 | #408 | — | 2 | 4 | no | — |
| 378 | #408 | C4×C8 | 1 | 2 | yes | — |
| 379 | #408 | C4×C8 | 1 | 2 | yes | — |
| 380 | #407 | — | 2 | 2 | no | — |
| 381 | #407 | C4×C8 | 1 | 2 | yes | — |
| 382 | #405 | — | 2 | 4 | no | — |
| 383 | #405 | — | 2 | 8 | no | — |
| 384 | #405 | C2×C42 | 1 | 2 | yes | — |
| 385 | #405 | C2×C42 | 1 | 4 | yes | — |
| 386 | #405 | C22×C8 | 1 | 2 | yes | — |
| 387 | #405 | C22×C8 | 1 | 4 | yes | — |
| 388 | C4×M16 | C22×C8 | 1 | 4 | yes | — |
| 389 | C4×M16 | C22×C8 | 1 | 8 | yes | — |
| 390 | C4×M16 | C22×C8 | 1 | 2 | yes | — |
| 391 | C4×M16 | C22×C8 | 1 | 4 | yes | — |
| 392 | C2×C4×C8 | — | 2 | 2 | no | — |
| 393 | C2×C4×C8 | — | 2 | 2 | no | — |
| 394 | C2×C4×C8 | — | 2 | 2 | no | — |
| 395 | C2×C4×C8 | C2×C42 | 1 | 1 | yes | characteristic |
| 396 | C2×C4×C8 | C2×C42 | 1 | 2 | yes | — |
| 397 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 398 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 399 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 400 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 401 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 402 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 403 | C2×C4×C8 | C22×C8 | 1 | 8 | yes | — |
| 404 | C2×C4×C8 | C22×C8 | 1 | 1 | yes | characteristic |
| 405 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 406 | C2×C4×C8 | C22×C8 | 1 | 1 | yes | characteristic |
| 407 | C2×C4×C8 | C22×C8 | 1 | 2 | yes | — |
| 408 | C2×C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 409 | C2×C4×C8 | C23×C4 | 1 | 2 | yes | — |
| 410 | C2×C4×C8 | C23×C4 | 1 | 4 | yes | — |
| 411 | M64 | — | 2 | 16 | no | — |
| 412 | M64 | — | 4 | 16 | no | — |
| 413 | C2×C32 | — | 2 | 8 | no | — |
| 414 | C2×C32 | — | 2 | 8 | no | — |
| 415 | C2×C32 | — | 4 | 16 | no | — |
| 416 | C2×C32 | — | 4 | 16 | no | — |
| 417 | C2×C32 | C23×C4 | 1 | 8 | yes | — |
| 418 | C2×C32 | C23×C4 | 1 | 16 | yes | — |
| 419 | C2×C32 | C23×C4 | 1 | 8 | yes | — |
| 420 | C4⋊C16 | C2×C42 | 1 | 8 | yes | — |
| 421 | C4⋊C16 | C2×C42 | 1 | 16 | yes | — |
| 422 | C4⋊C16 | C22×C8 | 1 | 8 | yes | — |
| 423 | C4⋊C16 | C22×C8 | 1 | 16 | yes | — |
| 424 | C22⋊C16 | C2×C42 | 1 | 8 | yes | — |
| 425 | C22⋊C16 | C2×C42 | 1 | 16 | yes | — |
| 426 | C22⋊C16 | C22×C8 | 1 | 8 | yes | — |
| 427 | C22⋊C16 | C22×C8 | 1 | 16 | yes | — |
| 428 | #346 | C2×C42 | 1 | 4 | yes | — |
| 429 | #346 | C2×C42 | 1 | 8 | yes | — |
| 430 | #346 | C22×C8 | 1 | 4 | yes | — |
| 431 | #346 | C22×C8 | 1 | 8 | yes | — |
| 432 | C4×C16 | C2×C42 | 1 | 2 | yes | — |
| 433 | C4×C16 | C2×C42 | 1 | 4 | yes | — |
| 434 | C4×C16 | C22×C8 | 1 | 2 | yes | — |
| 435 | C4×C16 | C22×C8 | 1 | 2 | yes | — |
| 436 | C4×C16 | C22×C8 | 1 | 4 | yes | — |
| 437 | C4×C16 | C22×C8 | 1 | 4 | yes | — |
| 438 | C4×C16 | C22×C8 | 1 | 8 | yes | — |
| 439 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 440 | C4×C16 | C23×C4 | 1 | 4 | yes | — |
| 441 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 442 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 443 | C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 444 | C4×C16 | C23×C4 | 1 | 4 | yes | — |
| 445 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 446 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 447 | C4×C16 | C23×C4 | 1 | 4 | yes | — |
| 448 | C4×C16 | C23×C4 | 1 | 8 | yes | — |
| 449 | C4×C16 | C25 | 1 | 1 | yes | characteristic |
| 450 | #322 | C22×C8 | 1 | 4 | yes | — |
| 451 | #322 | C22×C8 | 1 | 8 | yes | — |
| 452 | #322 | C22×C8 | 1 | 8 | yes | — |
| 453 | #322 | C22×C8 | 1 | 8 | yes | — |
| 454 | #322 | C22×C8 | 1 | 8 | yes | — |
| 455 | C82 | C22×C8 | 1 | 2 | yes | — |
| 456 | C82 | C22×C8 | 1 | 2 | yes | — |
| 457 | C82 | C22×C8 | 1 | 2 | yes | — |
| 458 | C82 | C22×C8 | 1 | 2 | yes | — |
| 459 | C82 | C22×C8 | 1 | 1 | yes | characteristic |
| 460 | C82 | C22×C8 | 1 | 2 | yes | — |
| 461 | C82 | C22×C8 | 1 | 1 | yes | characteristic |
| 462 | C82 | C22×C8 | 1 | 8 | yes | — |
| 463 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 464 | C82 | C23×C4 | 1 | 4 | yes | — |
| 465 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 466 | C82 | C23×C4 | 1 | 2 | yes | — |
| 467 | C2×#41 | C2×C4×C8 | 1 | 2 | yes | — |
| 468 | C2×#41 | C2×M32 | 1 | 4 | yes | — |
| 469 | C23×C4 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 470 | C23×C4 | C2×M32 | 1 | 2 | yes | — |
| 471 | #131 | — | 2 | 8 | no | — |
| 472 | #131 | — | 2 | 8 | no | — |
| 473 | #131 | — | 8 | 8 | no | — |
| 474 | C2×M16 | — | 2 | 4 | no | — |
| 475 | C2×M16 | — | 2 | 8 | no | — |
| 476 | C2×M16 | C2×C4×C8 | 1 | 2 | yes | — |
| 477 | C2×M16 | C2×C4×C8 | 1 | 4 | yes | — |
| 478 | C2×M16 | C2×C4×C8 | 1 | 2 | yes | — |
| 479 | C2×M16 | C2×C4×C8 | 1 | 4 | yes | — |
| 480 | C22×C8 | — | 2 | 4 | no | — |
| 481 | C22×C8 | — | 2 | 4 | no | — |
| 482 | C22×C8 | — | 2 | 2 | no | — |
| 483 | C22×C8 | — | 2 | 2 | no | — |
| 484 | C22×C8 | — | 2 | 2 | no | — |
| 485 | C22×C8 | — | 2 | 2 | no | — |
| 486 | C22×C8 | — | 2 | 2 | no | — |
| 487 | C22×C8 | — | 2 | 2 | no | — |
| 488 | C22×C8 | — | 2 | 8 | no | — |
| 489 | C22×C8 | — | 8 | 4 | no | — |
| 490 | C22×C8 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 491 | C22×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 492 | C22×C8 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 493 | C22×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 494 | C22×C8 | C22×C42 | 1 | 2 | yes | — |
| 495 | C22×C8 | C22×C42 | 1 | 4 | yes | — |
| 496 | C22×C8 | C22×C42 | 1 | 1 | yes | characteristic |
| 497 | C22×C8 | C23×C8 | 1 | 2 | yes | — |
| 498 | C22×C8 | C23×C8 | 1 | 4 | yes | — |
| 499 | C22×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 500 | C4⋊Q8 | #346 | 1 | 1 | yes | characteristic |
| 501 | C4⋊Q8 | #346 | 1 | 2 | yes | — |
| 502 | #127 | #346 | 1 | 1 | yes | characteristic |
| 503 | #126 | #346 | 1 | 8 | yes | — |
| 504 | #125 | #346 | 1 | 4 | yes | — |
| 505 | #125 | #346 | 1 | 2 | yes | — |
| 506 | #124 | #346 | 1 | 4 | yes | — |
| 507 | #124 | #346 | 1 | 2 | yes | — |
| 508 | #123 | #346 | 1 | 4 | yes | — |
| 509 | #123 | #346 | 1 | 8 | yes | — |
| 510 | C22⋊Q8 | #346 | 1 | 4 | yes | — |
| 511 | C22⋊Q8 | #346 | 1 | 4 | yes | — |
| 512 | C22⋊Q8 | #346 | 1 | 4 | yes | — |
| 513 | #121 | #346 | 1 | 4 | yes | — |
| 514 | #121 | #346 | 1 | 4 | yes | — |
| 515 | #121 | #346 | 1 | 4 | yes | — |
| 516 | #120 | #346 | 1 | 4 | yes | — |
| 517 | C4×Q8 | C2×C4×C8 | 1 | 4 | yes | — |
| 518 | C4×Q8 | C2×M32 | 1 | 4 | yes | — |
| 519 | C4×Q8 | C2×M32 | 1 | 4 | yes | — |
| 520 | C4×D4 | C2×C4×C8 | 1 | 8 | yes | — |
| 521 | C4×D4 | C2×C4×C8 | 1 | 4 | yes | — |
| 522 | C4×D4 | C2×M32 | 1 | 8 | yes | — |
| 523 | C4×D4 | C2×M32 | 1 | 8 | yes | — |
| 524 | C4×D4 | C2×M32 | 1 | 4 | yes | — |
| 525 | C4×D4 | C2×M32 | 1 | 4 | yes | — |
| 526 | #117 | C2×C4×C8 | 1 | 2 | yes | — |
| 527 | #117 | C2×C4×C8 | 1 | 4 | yes | — |
| 528 | #117 | C2×M32 | 1 | 4 | yes | — |
| 529 | #117 | C2×M32 | 1 | 8 | yes | — |
| 530 | C2×C42 | C2×C4×C8 | 1 | 2 | yes | — |
| 531 | C2×C42 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 532 | C2×C42 | C2×M32 | 1 | 2 | yes | — |
| 533 | C2×C42 | C2×M32 | 1 | 2 | yes | — |
| 534 | C2×C42 | C2×M32 | 1 | 2 | yes | — |
| 535 | C2×C42 | C23×C8 | 1 | 4 | yes | — |
| 536 | C2×C42 | C23×C8 | 1 | 1 | yes | characteristic |
| 537 | C2×C42 | C23×C8 | 1 | 2 | yes | — |
| 538 | M32 | — | 2 | 8 | no | — |
| 539 | M32 | — | 2 | 8 | no | — |
| 540 | M32 | — | 2 | 16 | no | — |
| 541 | M32 | — | 2 | 16 | no | — |
| 542 | C2×C16 | — | 2 | 4 | no | — |
| 543 | C2×C16 | — | 2 | 4 | no | — |
| 544 | C2×C16 | — | 2 | 8 | no | — |
| 545 | C2×C16 | — | 2 | 8 | no | — |
| 546 | C2×C16 | — | 2 | 8 | no | — |
| 547 | C2×C16 | — | 2 | 16 | no | — |
| 548 | C2×C16 | — | 2 | 8 | no | — |
| 549 | C2×C16 | — | 2 | 16 | no | — |
| 550 | C2×C16 | #504 | 1 | 8 | yes | — |
| 551 | C2×C16 | C22×C42 | 1 | 4 | yes | — |
| 552 | C2×C16 | C22×C42 | 1 | 8 | yes | — |
| 553 | C2×C16 | C22×C42 | 1 | 2 | yes | — |
| 554 | C2×C16 | C23×C8 | 1 | 4 | yes | — |
| 555 | C2×C16 | C23×C8 | 1 | 8 | yes | — |
| 556 | C2×C16 | C23×C8 | 1 | 2 | yes | — |
| 557 | C2×C16 | C23×C8 | 1 | 2 | yes | — |
| 558 | C2×C16 | #568 | 1 | 8 | yes | — |
| 559 | C2×C16 | C24×C4 | 1 | 2 | yes | — |
| 560 | C4⋊C8 | — | 2 | 4 | no | — |
| 561 | C4⋊C8 | — | 2 | 4 | no | — |
| 562 | C4⋊C8 | — | 2 | 8 | no | — |
| 563 | C4⋊C8 | — | 2 | 8 | no | — |
| 564 | C4⋊C8 | C2×C4×C8 | 1 | 4 | yes | — |
| 565 | C4⋊C8 | C2×C4×C8 | 1 | 4 | yes | — |
| 566 | C4⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 567 | C4⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 568 | C22⋊C8 | — | 2 | 4 | no | — |
| 569 | C22⋊C8 | — | 2 | 4 | no | — |
| 570 | C22⋊C8 | — | 2 | 8 | no | — |
| 571 | C22⋊C8 | — | 2 | 8 | no | — |
| 572 | C22⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 573 | C22⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 574 | C22⋊C8 | C2×C4×C8 | 1 | 8 | yes | — |
| 575 | #97 | — | 2 | 4 | no | — |
| 576 | #97 | — | 2 | 8 | no | — |
| 577 | #97 | C2×C4×C8 | 1 | 4 | yes | — |
| 578 | #97 | C2×C4×C8 | 1 | 4 | yes | — |
| 579 | #97 | C2×C4×C8 | 1 | 4 | yes | — |
| 580 | C4×C8 | — | 2 | 2 | no | — |
| 581 | C4×C8 | — | 2 | 2 | no | — |
| 582 | C4×C8 | — | 2 | 2 | no | — |
| 583 | C4×C8 | — | 2 | 2 | no | — |
| 584 | C4×C8 | — | 2 | 2 | no | — |
| 585 | C4×C8 | — | 2 | 2 | no | — |
| 586 | C4×C8 | — | 2 | 8 | no | — |
| 587 | C4×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 588 | C4×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 589 | C4×C8 | C2×C4×C8 | 1 | 2 | yes | — |
| 590 | C4×C8 | C22×C42 | 1 | 1 | yes | characteristic |
| 591 | C4×C8 | C22×C42 | 1 | 2 | yes | — |
| 592 | C4×C8 | C22×C42 | 1 | 4 | yes | — |
| 593 | C4×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 594 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 595 | C4×C8 | C23×C8 | 1 | 4 | yes | — |
| 596 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 597 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 598 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 599 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 600 | C4×C8 | C23×C8 | 1 | 8 | yes | — |
| 601 | C4×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 602 | C4×C8 | C23×C8 | 1 | 2 | yes | — |
| 603 | C4×C8 | C23×C8 | 1 | 4 | yes | — |
| 604 | C4×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 605 | C32 | — | 2 | 8 | no | — |
| 606 | C32 | — | 2 | 8 | no | — |
| 607 | C32 | — | 2 | 16 | no | — |
| 608 | C24 | C2×#346 | 1 | 1 | yes | characteristic |
| 609 | #41 | — | 2 | 4 | no | — |
| 610 | #41 | — | 2 | 4 | no | — |
| 611 | #41 | — | 4 | 8 | no | — |
| 612 | C2×Q8 | C2×#346 | 1 | 2 | yes | — |
| 613 | C2×Q8 | C2×#346 | 1 | 4 | yes | — |
| 614 | C2×D4 | C2×#346 | 1 | 8 | yes | — |
| 615 | C2×D4 | C2×#346 | 1 | 4 | yes | — |
| 616 | C2×D4 | C2×#346 | 1 | 2 | yes | — |
| 617 | C2×D4 | C2×#346 | 1 | 4 | yes | — |
| 618 | C22×C4 | — | 2 | 2 | no | — |
| 619 | C22×C4 | — | 2 | 2 | no | — |
| 620 | C22×C4 | — | 4 | 4 | no | — |
| 621 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 622 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 623 | C22×C4 | C2×#346 | 1 | 1 | yes | characteristic |
| 624 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 625 | C22×C4 | C2×#346 | 1 | 2 | yes | — |
| 626 | C22×C4 | C22×C4×C8 | 1 | 2 | yes | — |
| 627 | C22×C4 | C22×C4×C8 | 1 | 4 | yes | — |
| 628 | C22×C4 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 629 | C22×C4 | C22×M32 | 1 | 2 | yes | — |
| 630 | C22×C4 | C22×M32 | 1 | 2 | yes | — |
| 631 | C22×C4 | C22×M32 | 1 | 2 | yes | — |
| 632 | C22×C4 | C22×M32 | 1 | 8 | yes | — |
| 633 | M16 | — | 2 | 4 | no | — |
| 634 | M16 | — | 2 | 4 | no | — |
| 635 | M16 | — | 2 | 8 | no | — |
| 636 | M16 | — | 2 | 8 | no | — |
| 637 | M16 | — | 4 | 8 | no | — |
| 638 | M16 | — | 8 | 8 | no | — |
| 639 | C2×C8 | — | 2 | 2 | no | — |
| 640 | C2×C8 | — | 2 | 2 | no | — |
| 641 | C2×C8 | — | 2 | 4 | no | — |
| 642 | C2×C8 | — | 2 | 4 | no | — |
| 643 | C2×C8 | — | 2 | 8 | no | — |
| 644 | C2×C8 | — | 2 | 4 | no | — |
| 645 | C2×C8 | — | 2 | 8 | no | — |
| 646 | C2×C8 | — | 2 | 4 | no | — |
| 647 | C2×C8 | — | 2 | 2 | no | — |
| 648 | C2×C8 | — | 2 | 2 | no | — |
| 649 | C2×C8 | — | 2 | 2 | no | — |
| 650 | C2×C8 | — | 2 | 2 | no | — |
| 651 | C2×C8 | — | 2 | 8 | no | — |
| 652 | C2×C8 | — | 4 | 4 | no | — |
| 653 | C2×C8 | — | 4 | 4 | no | — |
| 654 | C2×C8 | — | 8 | 2 | no | — |
| 655 | C2×C8 | — | 8 | 2 | no | — |
| 656 | C2×C8 | — | 8 | 2 | no | — |
| 657 | C2×C8 | — | 8 | 2 | no | — |
| 658 | C2×C8 | — | 8 | 8 | no | — |
| 659 | C2×C8 | C22×C4×C8 | 1 | 2 | yes | — |
| 660 | C2×C8 | C22×C4×C8 | 1 | 4 | yes | — |
| 661 | C2×C8 | C22×C4×C8 | 1 | 2 | yes | — |
| 662 | C2×C8 | C22×C4×C8 | 1 | 4 | yes | — |
| 663 | C2×C8 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 664 | C2×C8 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 665 | C2×C8 | #2875 | 1 | 4 | yes | — |
| 666 | C2×C8 | C2×#504 | 1 | 4 | yes | — |
| 667 | C2×C8 | C23×C42 | 1 | 1 | yes | characteristic |
| 668 | C2×C8 | C24×C8 | 1 | 1 | yes | characteristic |
| 669 | C4⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 670 | C4⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 671 | C4⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 672 | C4⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 673 | C4⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 674 | C4⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 675 | C22⋊C4 | C2×#346 | 1 | 4 | yes | — |
| 676 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 677 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 678 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 679 | C22⋊C4 | C2×#346 | 1 | 8 | yes | — |
| 680 | C42 | C2×#346 | 1 | 1 | yes | characteristic |
| 681 | C42 | C2×#346 | 1 | 2 | yes | — |
| 682 | C42 | C2×#346 | 1 | 2 | yes | — |
| 683 | C42 | C2×#346 | 1 | 1 | yes | characteristic |
| 684 | C42 | C22×C4×C8 | 1 | 1 | yes | characteristic |
| 685 | C42 | C22×C4×C8 | 1 | 2 | yes | — |
| 686 | C42 | C22×C4×C8 | 1 | 4 | yes | — |
| 687 | C42 | C22×M32 | 1 | 2 | yes | — |
| 688 | C42 | C22×M32 | 1 | 2 | yes | — |
| 689 | C42 | C22×M32 | 1 | 2 | yes | — |
| 690 | C42 | C22×M32 | 1 | 8 | yes | — |
| 691 | C42 | C24×C8 | 1 | 1 | yes | characteristic |
| 692 | C16 | — | 2 | 4 | no | — |
| 693 | C16 | — | 2 | 8 | no | — |
| 694 | C16 | — | 2 | 4 | no | — |
| 695 | C16 | — | 2 | 8 | no | — |
| 696 | C16 | #2875 | 1 | 4 | yes | — |
| 697 | C16 | C2×#504 | 1 | 4 | yes | — |
| 698 | C16 | C2×#504 | 1 | 4 | yes | — |
| 699 | C16 | C2×#568 | 1 | 4 | yes | — |
| 700 | C23 | — | 2 | 4 | no | — |
| 701 | C23 | — | 2 | 2 | no | — |
| 702 | C23 | C22×#346 | 1 | 4 | yes | — |
| 703 | C23 | C22×#346 | 1 | 2 | yes | — |
| 704 | C23 | C22×#346 | 1 | 1 | yes | characteristic |
| 705 | Q8 | — | 2 | 4 | no | — |
| 706 | Q8 | — | 4 | 4 | no | — |
| 707 | D4 | — | 2 | 16 | no | — |
| 708 | D4 | — | 2 | 8 | no | — |
| 709 | D4 | — | 2 | 4 | no | — |
| 710 | D4 | — | 4 | 4 | no | — |
| 711 | C2×C4 | — | 2 | 4 | no | — |
| 712 | C2×C4 | — | 2 | 4 | no | — |
| 713 | C2×C4 | — | 2 | 2 | no | — |
| 714 | C2×C4 | — | 2 | 2 | no | — |
| 715 | C2×C4 | — | 2 | 4 | no | — |
| 716 | C2×C4 | — | 2 | 2 | no | — |
| 717 | C2×C4 | — | 2 | 4 | no | — |
| 718 | C2×C4 | — | 2 | 4 | no | — |
| 719 | C2×C4 | — | 4 | 2 | no | — |
| 720 | C2×C4 | — | 4 | 2 | no | — |
| 721 | C2×C4 | — | 4 | 8 | no | — |
| 722 | C2×C4 | — | 4 | 2 | no | — |
| 723 | C2×C4 | — | 4 | 2 | no | — |
| 724 | C2×C4 | #17316 | 1 | 2 | yes | — |
| 725 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 726 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 727 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 728 | C2×C4 | C22×#346 | 1 | 8 | yes | — |
| 729 | C2×C4 | C22×#346 | 1 | 2 | yes | — |
| 730 | C2×C4 | C22×#346 | 1 | 4 | yes | — |
| 731 | C2×C4 | C22×#346 | 1 | 1 | yes | characteristic |
| 732 | C2×C4 | C4×#504 | 1 | 2 | yes | — |
| 733 | C2×C4 | C23×C4×C8 | 1 | 1 | yes | characteristic |
| 734 | C2×C4 | C23×M32 | 1 | 2 | yes | — |
| 735 | C8 | — | 2 | 2 | no | — |
| 736 | C8 | — | 2 | 4 | no | — |
| 737 | C8 | — | 2 | 2 | no | — |
| 738 | C8 | — | 2 | 4 | no | — |
| 739 | C8 | — | 4 | 2 | no | — |
| 740 | C8 | — | 4 | 2 | no | — |
| 741 | C8 | — | 4 | 2 | no | — |
| 742 | C8 | — | 4 | 2 | no | — |
| 743 | C8 | — | 4 | 8 | no | — |
| 744 | C8 | #17316 | 1 | 2 | yes | — |
| 745 | C8 | C4×#504 | 1 | 2 | yes | — |
| 746 | C8 | C2×#2875 | 1 | 2 | yes | — |
| 747 | C8 | C22×#504 | 1 | 2 | yes | — |
| 748 | C22 | — | 2 | 8 | no | — |
| 749 | C22 | — | 2 | 2 | no | — |
| 750 | C22 | — | 2 | 2 | no | — |
| 751 | C22 | — | 2 | 2 | no | — |
| 752 | C22 | — | 2 | 8 | no | — |
| 753 | C22 | — | 2 | 4 | no | — |
| 754 | C22 | #479949 | 1 | 2 | yes | — |
| 755 | C22 | #512548 | 1 | 4 | yes | — |
| 756 | C22 | C23×#346 | 1 | 1 | yes | characteristic |
| 757 | C4 | — | 2 | 2 | no | — |
| 758 | C4 | — | 2 | 2 | no | — |
| 759 | C4 | — | 2 | 2 | no | — |
| 760 | C4 | — | 2 | 2 | no | — |
| 761 | C4 | — | 2 | 8 | no | — |
| 762 | C4 | — | 2 | 2 | no | — |
| 763 | C4 | — | 2 | 4 | no | — |
| 764 | C4 | #479949 | 1 | 2 | yes | — |
| 765 | C4 | C2×#17316 | 1 | 1 | yes | characteristic |
| 766 | C4 | C2×C4×#504 | 1 | 1 | yes | characteristic |
| 767 | C2 | — | 2 | 4 | no | — |
| 768 | C2 | — | 2 | 2 | no | — |
| 769 | C2 | — | 4 | 4 | no | — |
| 770 | C2 | C2×#512548 | 1 | 2 | yes | — |
| 771 | 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