Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
5498 conjugacy classes of subgroups.
The subgroup lattice has 1050 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72225279 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72225276 | C2 | 1 | 8 | yes | maximal, complemented |
| 3 | #72225275 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #72225272 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72225270 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #72225269 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72225265 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #72225180 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #72225156 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#126544 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72213975 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #7623248 | C22 | 1 | 4 | yes | — |
| 13 | #6373967 | — | 2 | 2 | no | — |
| 14 | #6357082 | C22 | 1 | 2 | yes | — |
| 15 | #6344789 | — | 2 | 2 | no | — |
| 16 | #6344789 | C22 | 1 | 4 | yes | — |
| 17 | C2×C4×#347 | C22 | 1 | 2 | yes | — |
| 18 | #491503 | C4 | 1 | 2 | yes | complemented |
| 19 | #491503 | C22 | 1 | 2 | yes | — |
| 20 | #491502 | C4 | 1 | 4 | yes | complemented |
| 21 | #491502 | C22 | 1 | 4 | yes | — |
| 22 | #491501 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | #491501 | C22 | 1 | 1 | yes | characteristic |
| 24 | #491500 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | #491500 | C22 | 1 | 1 | yes | characteristic |
| 26 | #491478 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #491465 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #491449 | C4 | 1 | 2 | yes | complemented |
| 29 | #491436 | C4 | 1 | 4 | yes | complemented |
| 30 | #483961 | C22 | 1 | 8 | yes | — |
| 31 | #483960 | C22 | 1 | 8 | yes | — |
| 32 | #483959 | C22 | 1 | 16 | yes | — |
| 33 | #483958 | — | 2 | 16 | no | — |
| 34 | #483836 | — | 2 | 8 | no | — |
| 35 | #483589 | — | 2 | 8 | no | — |
| 36 | #483396 | C22 | 1 | 4 | yes | — |
| 37 | #481343 | C22 | 1 | 8 | yes | — |
| 38 | C2×#11404 | C22 | 1 | 2 | yes | — |
| 39 | C2×#11402 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×C8×M32 | C22 | 1 | 1 | yes | characteristic |
| 41 | #213277 | — | 2 | 4 | no | — |
| 42 | #213277 | C22 | 1 | 8 | yes | — |
| 43 | #213276 | — | 2 | 4 | no | — |
| 44 | #213275 | C22 | 1 | 4 | yes | — |
| 45 | #213274 | C22 | 1 | 4 | yes | — |
| 46 | #206455 | — | 2 | 2 | no | — |
| 47 | #206363 | — | 2 | 2 | no | — |
| 48 | #206363 | C22 | 1 | 4 | yes | — |
| 49 | #191461 | C22 | 1 | 2 | yes | — |
| 50 | C2×#7846 | C22 | 1 | 1 | yes | characteristic |
| 51 | #141838 | C22 | 1 | 8 | yes | — |
| 52 | #141837 | C22 | 1 | 4 | yes | — |
| 53 | #141836 | C22 | 1 | 4 | yes | — |
| 54 | #141802 | C22 | 1 | 16 | yes | — |
| 55 | #141801 | C22 | 1 | 8 | yes | — |
| 56 | #141800 | C22 | 1 | 8 | yes | — |
| 57 | #135793 | C22 | 1 | 4 | yes | — |
| 58 | #135792 | C22 | 1 | 2 | yes | — |
| 59 | #135792 | C22 | 1 | 2 | yes | — |
| 60 | #126544 | C22 | 1 | 2 | yes | — |
| 61 | #126544 | C22 | 1 | 2 | yes | — |
| 62 | #126544 | C22 | 1 | 4 | yes | — |
| 63 | #60673 | — | 2 | 2 | no | — |
| 64 | #60673 | — | 2 | 2 | no | — |
| 65 | #60673 | C23 | 1 | 4 | yes | — |
| 66 | #60204 | — | 2 | 4 | no | — |
| 67 | #33751 | C2×C4 | 1 | 8 | yes | — |
| 68 | #33751 | C23 | 1 | 8 | yes | — |
| 69 | #33750 | — | 2 | 8 | no | — |
| 70 | #33750 | — | 2 | 8 | no | — |
| 71 | #33749 | C2×C4 | 1 | 4 | yes | — |
| 72 | #33749 | C23 | 1 | 4 | yes | — |
| 73 | #33748 | C2×C4 | 1 | 4 | yes | — |
| 74 | #33748 | C23 | 1 | 4 | yes | — |
| 75 | #33726 | C2×C4 | 1 | 4 | yes | — |
| 76 | #33713 | C2×C4 | 1 | 4 | yes | — |
| 77 | #33697 | C2×C4 | 1 | 8 | yes | — |
| 78 | #33604 | — | 2 | 8 | no | — |
| 79 | #33451 | — | 2 | 8 | no | — |
| 80 | C22×#347 | — | 2 | 4 | no | — |
| 81 | C2×C4×M32 | C23 | 1 | 2 | yes | — |
| 82 | C2×C4×M32 | C23 | 1 | 2 | yes | — |
| 83 | #21734 | — | 2 | 4 | no | — |
| 84 | #21706 | — | 2 | 4 | no | — |
| 85 | #21660 | — | 2 | 8 | no | — |
| 86 | #21546 | — | 4 | 8 | no | — |
| 87 | #21415 | — | 2 | 4 | no | — |
| 88 | #21293 | — | 4 | 4 | no | — |
| 89 | #20826 | — | 2 | 2 | no | — |
| 90 | C4×#444 | — | 4 | 4 | no | — |
| 91 | C2×C4×#97 | D4 | 1 | 2 | yes | — |
| 92 | C2×C4×#97 | C23 | 1 | 1 | yes | characteristic |
| 93 | #19604 | C2×C4 | 1 | 2 | yes | — |
| 94 | #19604 | C2×C4 | 1 | 2 | yes | — |
| 95 | #19604 | C23 | 1 | 2 | yes | — |
| 96 | #19603 | C2×C4 | 1 | 2 | yes | — |
| 97 | #19603 | C2×C4 | 1 | 2 | yes | — |
| 98 | #19603 | C23 | 1 | 2 | yes | — |
| 99 | #19600 | — | 2 | 2 | no | — |
| 100 | #19600 | — | 2 | 2 | no | — |
| 101 | #19600 | — | 2 | 2 | no | — |
| 102 | #19600 | — | 2 | 2 | no | — |
| 103 | #19600 | C2×C4 | 1 | 4 | yes | — |
| 104 | #19600 | C23 | 1 | 4 | yes | — |
| 105 | #19596 | — | 2 | 2 | no | — |
| 106 | #19596 | — | 2 | 2 | no | — |
| 107 | #19596 | C2×C4 | 1 | 4 | yes | — |
| 108 | #17963 | — | 2 | 16 | no | — |
| 109 | #17963 | — | 4 | 8 | no | — |
| 110 | #17962 | — | 2 | 4 | no | — |
| 111 | #17962 | C23 | 1 | 8 | yes | — |
| 112 | #17961 | — | 2 | 4 | no | — |
| 113 | #17961 | C23 | 1 | 8 | yes | — |
| 114 | #17960 | — | 2 | 8 | no | — |
| 115 | #17960 | — | 2 | 8 | no | — |
| 116 | #17890 | — | 2 | 8 | no | — |
| 117 | #17890 | — | 4 | 4 | no | — |
| 118 | #17849 | — | 2 | 8 | no | — |
| 119 | #17849 | — | 4 | 4 | no | — |
| 120 | #17793 | — | 2 | 2 | no | — |
| 121 | #17793 | C23 | 1 | 4 | yes | — |
| 122 | #17473 | — | 2 | 4 | no | — |
| 123 | #17473 | — | 2 | 4 | no | — |
| 124 | C22×#322 | D4 | 1 | 2 | yes | — |
| 125 | C22×#322 | C23 | 1 | 1 | yes | characteristic |
| 126 | C22×C82 | C23 | 1 | 1 | yes | characteristic |
| 127 | C4×#347 | — | 2 | 4 | no | — |
| 128 | C4×#347 | C23 | 1 | 4 | yes | — |
| 129 | C4×#347 | C23 | 1 | 4 | yes | — |
| 130 | #12523 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 131 | #12523 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 132 | #12522 | C2×C4 | 1 | 4 | yes | complemented |
| 133 | #12521 | C2×C4 | 1 | 2 | yes | complemented |
| 134 | #12518 | C2×C4 | 1 | 4 | yes | complemented |
| 135 | #12517 | C2×C4 | 1 | 2 | yes | complemented |
| 136 | #12516 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 137 | #12515 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 138 | #12511 | C2×C4 | 1 | 8 | yes | complemented |
| 139 | #12510 | C2×C4 | 1 | 2 | yes | complemented |
| 140 | #12510 | C2×C4 | 1 | 2 | yes | complemented |
| 141 | #12509 | C2×C4 | 1 | 2 | yes | complemented |
| 142 | #12509 | C2×C4 | 1 | 2 | yes | complemented |
| 143 | #12508 | C2×C4 | 1 | 8 | yes | complemented |
| 144 | #12508 | C2×C4 | 1 | 8 | yes | complemented |
| 145 | #12507 | C2×C4 | 1 | 4 | yes | complemented |
| 146 | #12507 | C2×C4 | 1 | 4 | yes | complemented |
| 147 | #12506 | C2×C4 | 1 | 4 | yes | complemented |
| 148 | #12506 | C2×C4 | 1 | 4 | yes | complemented |
| 149 | #12089 | — | 2 | 16 | no | — |
| 150 | #12088 | — | 2 | 16 | no | — |
| 151 | #12087 | — | 2 | 32 | no | — |
| 152 | #12067 | — | 2 | 16 | no | — |
| 153 | #12066 | — | 2 | 16 | no | — |
| 154 | #12065 | — | 2 | 32 | no | — |
| 155 | #12021 | — | 2 | 8 | no | — |
| 156 | #12020 | C23 | 1 | 8 | yes | — |
| 157 | #12020 | C23 | 1 | 8 | yes | — |
| 158 | #11999 | — | 2 | 8 | no | — |
| 159 | #11682 | — | 2 | 16 | no | — |
| 160 | #11681 | C23 | 1 | 16 | yes | — |
| 161 | #11680 | C23 | 1 | 16 | yes | — |
| 162 | #11597 | — | 2 | 16 | no | — |
| 163 | #11404 | D4 | 1 | 8 | yes | — |
| 164 | #11404 | C23 | 1 | 4 | yes | — |
| 165 | #11404 | C23 | 1 | 4 | yes | — |
| 166 | C2×#1313 | D4 | 1 | 8 | yes | — |
| 167 | #11402 | — | 2 | 2 | no | — |
| 168 | #11402 | C23 | 1 | 2 | yes | — |
| 169 | #11402 | C23 | 1 | 2 | yes | — |
| 170 | C2×#1312 | — | 2 | 2 | no | — |
| 171 | C8×M32 | C2×C4 | 1 | 1 | yes | characteristic |
| 172 | C8×M32 | C2×C4 | 1 | 2 | yes | — |
| 173 | C8×M32 | C2×C4 | 1 | 1 | yes | characteristic |
| 174 | C8×M32 | C23 | 1 | 1 | yes | characteristic |
| 175 | C8×M32 | C23 | 1 | 1 | yes | characteristic |
| 176 | C8×M32 | C23 | 1 | 2 | yes | — |
| 177 | C2×#1311 | C2×C4 | 1 | 2 | yes | — |
| 178 | C2×C8×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 179 | C2×C8×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 180 | #9863 | — | 2 | 8 | no | — |
| 181 | #9862 | — | 2 | 4 | no | — |
| 182 | #9861 | — | 2 | 4 | no | — |
| 183 | #9851 | — | 2 | 8 | no | — |
| 184 | #9851 | — | 2 | 8 | no | — |
| 185 | #9850 | — | 2 | 4 | no | — |
| 186 | #9850 | C23 | 1 | 8 | yes | — |
| 187 | #9849 | — | 2 | 4 | no | — |
| 188 | #9849 | C23 | 1 | 8 | yes | — |
| 189 | #8824 | — | 2 | 2 | no | — |
| 190 | #8824 | C23 | 1 | 4 | yes | — |
| 191 | #8823 | — | 2 | 2 | no | — |
| 192 | #8822 | C23 | 1 | 4 | yes | — |
| 193 | #7846 | D4 | 1 | 4 | yes | — |
| 194 | #7846 | C23 | 1 | 2 | yes | — |
| 195 | #7846 | C23 | 1 | 2 | yes | — |
| 196 | #3444 | — | 2 | 4 | no | — |
| 197 | C2×#508 | — | 2 | 8 | no | — |
| 198 | C22×M32 | — | 2 | 2 | no | — |
| 199 | C22×M32 | #41 | 1 | 4 | yes | — |
| 200 | #3170 | — | 2 | 2 | no | — |
| 201 | #3170 | — | 2 | 2 | no | — |
| 202 | #3170 | — | 2 | 2 | no | — |
| 203 | #3170 | — | 2 | 2 | no | — |
| 204 | #3170 | C22×C4 | 1 | 4 | yes | — |
| 205 | #3170 | C24 | 1 | 4 | yes | — |
| 206 | #3169 | — | 2 | 2 | no | — |
| 207 | #3169 | — | 2 | 2 | no | — |
| 208 | #3169 | — | 2 | 2 | no | — |
| 209 | #3169 | — | 2 | 2 | no | — |
| 210 | #3169 | C22×C4 | 1 | 4 | yes | — |
| 211 | #3169 | C24 | 1 | 4 | yes | — |
| 212 | #3168 | — | 2 | 8 | no | — |
| 213 | #3168 | — | 2 | 8 | no | — |
| 214 | #3168 | — | 4 | 4 | no | — |
| 215 | #3168 | — | 4 | 4 | no | — |
| 216 | #3168 | — | 4 | 4 | no | — |
| 217 | #3168 | — | 4 | 4 | no | — |
| 218 | #3167 | — | 2 | 4 | no | — |
| 219 | #3167 | — | 2 | 4 | no | — |
| 220 | #3167 | — | 2 | 4 | no | — |
| 221 | #3167 | — | 2 | 4 | no | — |
| 222 | #3167 | — | 2 | 4 | no | — |
| 223 | #3167 | — | 2 | 4 | no | — |
| 224 | #3160 | — | 2 | 2 | no | — |
| 225 | #3160 | — | 2 | 2 | no | — |
| 226 | #3160 | C22×C4 | 1 | 4 | yes | — |
| 227 | #3147 | — | 2 | 2 | no | — |
| 228 | #3147 | — | 2 | 2 | no | — |
| 229 | #3147 | C22×C4 | 1 | 4 | yes | — |
| 230 | #3131 | — | 2 | 4 | no | — |
| 231 | #3131 | — | 2 | 4 | no | — |
| 232 | #3131 | — | 2 | 4 | no | — |
| 233 | #3050 | — | 2 | 8 | no | — |
| 234 | #3050 | — | 4 | 4 | no | — |
| 235 | #3050 | — | 4 | 4 | no | — |
| 236 | #2966 | — | 4 | 8 | no | — |
| 237 | #2966 | — | 4 | 8 | no | — |
| 238 | #2965 | — | 4 | 4 | no | — |
| 239 | #2965 | — | 4 | 4 | no | — |
| 240 | C8×#41 | — | 4 | 4 | no | — |
| 241 | C8×#41 | — | 4 | 4 | no | — |
| 242 | #2960 | — | 2 | 8 | no | — |
| 243 | C2×#444 | — | 4 | 8 | no | — |
| 244 | C4×#135 | — | 2 | 8 | no | — |
| 245 | C4×#135 | — | 4 | 4 | no | — |
| 246 | C4×#135 | — | 4 | 4 | no | — |
| 247 | #2931 | — | 2 | 8 | no | — |
| 248 | #2929 | — | 4 | 8 | no | — |
| 249 | #2922 | — | 4 | 4 | no | — |
| 250 | #2920 | — | 2 | 4 | no | — |
| 251 | C4×#131 | — | 4 | 4 | no | — |
| 252 | C22×#97 | — | 2 | 4 | no | — |
| 253 | C22×#97 | — | 2 | 2 | no | — |
| 254 | C22×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C22×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 256 | C22×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 257 | C22×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 258 | C2×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | #2254 | C22×C4 | 1 | 4 | yes | — |
| 260 | #2254 | C22×C4 | 1 | 4 | yes | — |
| 261 | #2253 | — | 2 | 8 | no | — |
| 262 | #2252 | C22×C4 | 1 | 8 | yes | — |
| 263 | #2249 | — | 2 | 8 | no | — |
| 264 | #2248 | C22×C4 | 1 | 8 | yes | — |
| 265 | #2247 | C22×C4 | 1 | 4 | yes | — |
| 266 | #2246 | C22×C4 | 1 | 4 | yes | — |
| 267 | #2242 | — | 2 | 16 | no | — |
| 268 | #2241 | C22×C4 | 1 | 8 | yes | — |
| 269 | #2241 | C22×C4 | 1 | 8 | yes | — |
| 270 | #2240 | C22×C4 | 1 | 8 | yes | — |
| 271 | #2240 | C22×C4 | 1 | 8 | yes | — |
| 272 | #2220 | — | 2 | 16 | no | — |
| 273 | #2220 | — | 2 | 16 | no | — |
| 274 | #2219 | — | 2 | 8 | no | — |
| 275 | #2219 | — | 2 | 8 | no | — |
| 276 | #2218 | — | 2 | 8 | no | — |
| 277 | #2218 | — | 2 | 8 | no | — |
| 278 | #2177 | — | 2 | 8 | no | — |
| 279 | #2177 | — | 2 | 8 | no | — |
| 280 | #2176 | — | 2 | 8 | no | — |
| 281 | #2176 | — | 2 | 8 | no | — |
| 282 | #2175 | — | 2 | 16 | no | — |
| 283 | #2175 | — | 2 | 16 | no | — |
| 284 | #2158 | — | 2 | 8 | no | — |
| 285 | #2138 | — | 2 | 16 | no | — |
| 286 | C2×#347 | — | 2 | 8 | no | — |
| 287 | C2×#347 | — | 2 | 8 | no | — |
| 288 | C2×#347 | — | 4 | 16 | no | — |
| 289 | C4×M32 | — | 2 | 2 | no | — |
| 290 | C4×M32 | — | 2 | 2 | no | — |
| 291 | C4×M32 | C22×C4 | 1 | 2 | yes | — |
| 292 | C4×M32 | C22×C4 | 1 | 2 | yes | — |
| 293 | C4×M32 | C2×D4 | 1 | 4 | yes | — |
| 294 | C4×M32 | C2×D4 | 1 | 4 | yes | — |
| 295 | C4×M32 | #41 | 1 | 4 | yes | — |
| 296 | C4×M32 | C24 | 1 | 4 | yes | — |
| 297 | C4×M32 | C24 | 1 | 2 | yes | — |
| 298 | C4×M32 | C24 | 1 | 2 | yes | — |
| 299 | C2×#346 | C2×D4 | 1 | 4 | yes | — |
| 300 | C2×#346 | C2×D4 | 1 | 4 | yes | — |
| 301 | C2×C4×C16 | — | 2 | 2 | no | — |
| 302 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 303 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 304 | #1994 | — | 2 | 8 | no | — |
| 305 | #1975 | — | 4 | 8 | no | — |
| 306 | #1962 | — | 2 | 8 | no | — |
| 307 | #1946 | — | 4 | 8 | no | — |
| 308 | #1938 | — | 4 | 16 | no | — |
| 309 | #1896 | — | 4 | 8 | no | — |
| 310 | #1848 | — | 2 | 4 | no | — |
| 311 | #1837 | — | 2 | 4 | no | — |
| 312 | #1810 | — | 4 | 4 | no | — |
| 313 | C4×#108 | — | 4 | 4 | no | — |
| 314 | #1773 | — | 4 | 8 | no | — |
| 315 | #1765 | — | 4 | 16 | no | — |
| 316 | C4×#104 | — | 4 | 8 | no | — |
| 317 | C4×#97 | — | 2 | 4 | no | — |
| 318 | C4×#97 | — | 2 | 2 | no | — |
| 319 | C4×#97 | C2×D4 | 1 | 4 | yes | — |
| 320 | C4×#97 | C2×D4 | 1 | 4 | yes | — |
| 321 | C4×#97 | C2×D4 | 1 | 2 | yes | — |
| 322 | C4×#97 | C24 | 1 | 2 | yes | — |
| 323 | #1713 | C22×C4 | 1 | 2 | yes | — |
| 324 | #1713 | C22×C4 | 1 | 2 | yes | — |
| 325 | #1713 | C22×C4 | 1 | 2 | yes | — |
| 326 | #1712 | C22×C4 | 1 | 2 | yes | — |
| 327 | #1711 | — | 2 | 4 | no | — |
| 328 | #1711 | — | 2 | 4 | no | — |
| 329 | #1710 | — | 2 | 2 | no | — |
| 330 | #1710 | — | 2 | 2 | no | — |
| 331 | #1710 | C22×C4 | 1 | 4 | yes | — |
| 332 | #1709 | — | 2 | 2 | no | — |
| 333 | #1709 | — | 2 | 2 | no | — |
| 334 | #1709 | C22×C4 | 1 | 4 | yes | — |
| 335 | #1708 | — | 2 | 4 | no | — |
| 336 | #1708 | — | 2 | 4 | no | — |
| 337 | #1708 | — | 2 | 4 | no | — |
| 338 | #1707 | — | 2 | 2 | no | — |
| 339 | #1707 | — | 2 | 2 | no | — |
| 340 | #1707 | — | 2 | 2 | no | — |
| 341 | #1707 | — | 2 | 2 | no | — |
| 342 | #1707 | C22×C4 | 1 | 4 | yes | — |
| 343 | #1707 | C22×C4 | 1 | 4 | yes | — |
| 344 | #1706 | — | 2 | 2 | no | — |
| 345 | #1706 | — | 2 | 2 | no | — |
| 346 | #1706 | — | 2 | 2 | no | — |
| 347 | #1706 | — | 2 | 2 | no | — |
| 348 | #1706 | C22×C4 | 1 | 4 | yes | — |
| 349 | #1706 | C22×C4 | 1 | 4 | yes | — |
| 350 | #1705 | — | 2 | 4 | no | — |
| 351 | #1594 | — | 2 | 16 | no | — |
| 352 | #1594 | — | 4 | 8 | no | — |
| 353 | #1593 | — | 2 | 16 | no | — |
| 354 | #1593 | — | 4 | 8 | no | — |
| 355 | #1592 | — | 4 | 16 | no | — |
| 356 | #1592 | — | 4 | 16 | no | — |
| 357 | #1580 | — | 2 | 16 | no | — |
| 358 | #1580 | — | 4 | 8 | no | — |
| 359 | #1579 | — | 2 | 16 | no | — |
| 360 | #1579 | — | 4 | 8 | no | — |
| 361 | SD16⋊C8 | — | 4 | 16 | no | — |
| 362 | SD16⋊C8 | — | 4 | 16 | no | — |
| 363 | #1568 | — | 2 | 8 | no | — |
| 364 | #1568 | — | 4 | 4 | no | — |
| 365 | #1567 | — | 2 | 4 | no | — |
| 366 | #1567 | — | 2 | 4 | no | — |
| 367 | #1566 | — | 2 | 4 | no | — |
| 368 | #1566 | C24 | 1 | 8 | yes | — |
| 369 | #1564 | — | 2 | 8 | no | — |
| 370 | #1564 | — | 4 | 4 | no | — |
| 371 | #1494 | — | 4 | 8 | no | — |
| 372 | #1494 | — | 4 | 8 | no | — |
| 373 | #1493 | — | 2 | 8 | no | — |
| 374 | #1493 | — | 2 | 8 | no | — |
| 375 | #1492 | — | 2 | 8 | no | — |
| 376 | #1492 | — | 2 | 8 | no | — |
| 377 | #1476 | — | 4 | 8 | no | — |
| 378 | #1476 | — | 4 | 8 | no | — |
| 379 | C2×#322 | — | 2 | 4 | no | — |
| 380 | C2×#322 | — | 2 | 4 | no | — |
| 381 | C2×#322 | C2×D4 | 1 | 4 | yes | — |
| 382 | C2×#322 | C2×D4 | 1 | 4 | yes | — |
| 383 | C2×#322 | C2×D4 | 1 | 2 | yes | — |
| 384 | C2×#322 | C2×D4 | 1 | 4 | yes | — |
| 385 | C2×#322 | C2×D4 | 1 | 4 | yes | — |
| 386 | C2×#322 | C24 | 1 | 2 | yes | — |
| 387 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 388 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 389 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 390 | C2×C82 | C22×C4 | 1 | 1 | yes | characteristic |
| 391 | C2×C82 | C2×D4 | 1 | 2 | yes | — |
| 392 | C2×C82 | #41 | 1 | 2 | yes | — |
| 393 | C2×C82 | #41 | 1 | 2 | yes | — |
| 394 | C2×C82 | C24 | 1 | 1 | yes | characteristic |
| 395 | C2×C82 | C24 | 1 | 1 | yes | characteristic |
| 396 | #1368 | — | 2 | 16 | no | — |
| 397 | #1368 | — | 2 | 16 | no | — |
| 398 | #1334 | — | 2 | 32 | no | — |
| 399 | #1333 | — | 2 | 32 | no | — |
| 400 | #1313 | C2×D4 | 1 | 16 | yes | — |
| 401 | #1313 | C2×D4 | 1 | 16 | yes | — |
| 402 | #1312 | — | 2 | 4 | no | — |
| 403 | #1312 | — | 2 | 4 | no | — |
| 404 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 405 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 406 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 407 | #1311 | C22×C4 | 1 | 2 | yes | — |
| 408 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 409 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 410 | C8×C16 | C22×C4 | 1 | 2 | yes | — |
| 411 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 412 | C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 413 | C8×C16 | C22×C4 | 1 | 2 | yes | — |
| 414 | C2×#135 | — | 2 | 8 | no | — |
| 415 | C2×#135 | — | 4 | 4 | no | — |
| 416 | C2×#135 | — | 4 | 4 | no | — |
| 417 | C2×#131 | — | 4 | 8 | no | — |
| 418 | C23×C8 | — | 2 | 2 | no | — |
| 419 | C23×C8 | — | 2 | 1 | no | — |
| 420 | C23×C8 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 421 | C23×C8 | C2×#41 | 1 | 2 | yes | — |
| 422 | #533 | — | 2 | 4 | no | — |
| 423 | #533 | — | 2 | 4 | no | — |
| 424 | #533 | — | 2 | 4 | no | — |
| 425 | #532 | — | 2 | 4 | no | — |
| 426 | #532 | — | 2 | 4 | no | — |
| 427 | #532 | — | 2 | 4 | no | — |
| 428 | #529 | — | 4 | 4 | no | — |
| 429 | #529 | — | 4 | 4 | no | — |
| 430 | #529 | — | 4 | 4 | no | — |
| 431 | #529 | — | 4 | 4 | no | — |
| 432 | #529 | — | 4 | 4 | no | — |
| 433 | #529 | — | 4 | 4 | no | — |
| 434 | #525 | — | 4 | 4 | no | — |
| 435 | #525 | — | 4 | 4 | no | — |
| 436 | #525 | — | 4 | 4 | no | — |
| 437 | C4×#41 | — | 4 | 4 | no | — |
| 438 | C4×#41 | — | 4 | 4 | no | — |
| 439 | C4×#41 | — | 4 | 4 | no | — |
| 440 | C22×C42 | — | 2 | 1 | no | — |
| 441 | C22×C42 | — | 2 | 2 | no | — |
| 442 | C22×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 443 | #508 | — | 4 | 32 | no | — |
| 444 | C2×Q32 | — | 2 | 8 | no | — |
| 445 | C2×SD32 | — | 2 | 16 | no | — |
| 446 | C2×D16 | — | 2 | 8 | no | — |
| 447 | C2×M32 | — | 2 | 4 | no | — |
| 448 | C2×M32 | — | 2 | 4 | no | — |
| 449 | C2×M32 | — | 2 | 16 | no | — |
| 450 | C2×M32 | — | 4 | 8 | no | — |
| 451 | C2×M32 | C4×D4 | 1 | 4 | yes | — |
| 452 | C2×M32 | C4×D4 | 1 | 4 | yes | — |
| 453 | C2×M32 | C2×#41 | 1 | 4 | yes | — |
| 454 | C2×M32 | C2×#41 | 1 | 4 | yes | — |
| 455 | C22×C16 | — | 2 | 4 | no | — |
| 456 | C22×C16 | C4×D4 | 1 | 4 | yes | — |
| 457 | C22×C16 | C4×D4 | 1 | 4 | yes | — |
| 458 | #500 | — | 2 | 2 | no | — |
| 459 | #500 | — | 2 | 2 | no | — |
| 460 | #500 | — | 2 | 2 | no | — |
| 461 | #500 | — | 2 | 2 | no | — |
| 462 | #500 | C23×C4 | 1 | 4 | yes | — |
| 463 | #500 | C23×C4 | 1 | 4 | yes | — |
| 464 | #499 | — | 2 | 8 | no | — |
| 465 | #499 | — | 4 | 4 | no | — |
| 466 | #499 | — | 4 | 4 | no | — |
| 467 | #498 | — | 2 | 4 | no | — |
| 468 | #498 | — | 2 | 4 | no | — |
| 469 | #498 | — | 2 | 4 | no | — |
| 470 | #495 | — | 2 | 8 | no | — |
| 471 | #495 | — | 4 | 4 | no | — |
| 472 | #495 | — | 4 | 4 | no | — |
| 473 | #494 | — | 2 | 2 | no | — |
| 474 | #494 | — | 2 | 2 | no | — |
| 475 | #494 | C23×C4 | 1 | 4 | yes | — |
| 476 | #493 | — | 2 | 2 | no | — |
| 477 | #493 | — | 2 | 2 | no | — |
| 478 | #493 | C23×C4 | 1 | 4 | yes | — |
| 479 | #492 | — | 2 | 4 | no | — |
| 480 | #492 | — | 2 | 4 | no | — |
| 481 | #492 | — | 2 | 4 | no | — |
| 482 | #488 | — | 4 | 8 | no | — |
| 483 | #488 | — | 4 | 8 | no | — |
| 484 | #488 | — | 4 | 8 | no | — |
| 485 | #487 | — | 2 | 4 | no | — |
| 486 | #487 | — | 2 | 4 | no | — |
| 487 | #487 | — | 2 | 4 | no | — |
| 488 | #487 | — | 2 | 4 | no | — |
| 489 | #487 | — | 2 | 4 | no | — |
| 490 | #487 | — | 2 | 4 | no | — |
| 491 | #486 | — | 2 | 4 | no | — |
| 492 | #486 | — | 2 | 4 | no | — |
| 493 | #486 | — | 2 | 4 | no | — |
| 494 | #486 | — | 2 | 4 | no | — |
| 495 | #486 | — | 2 | 4 | no | — |
| 496 | #486 | — | 2 | 4 | no | — |
| 497 | #467 | — | 2 | 8 | no | — |
| 498 | #467 | — | 2 | 8 | no | — |
| 499 | #467 | — | 4 | 4 | no | — |
| 500 | #467 | — | 4 | 4 | no | — |
| 501 | #467 | — | 4 | 4 | no | — |
| 502 | #467 | — | 4 | 4 | no | — |
| 503 | #466 | — | 2 | 8 | no | — |
| 504 | #466 | — | 2 | 8 | no | — |
| 505 | #466 | — | 4 | 4 | no | — |
| 506 | #466 | — | 4 | 4 | no | — |
| 507 | #466 | — | 4 | 4 | no | — |
| 508 | #466 | — | 4 | 4 | no | — |
| 509 | #465 | — | 4 | 8 | no | — |
| 510 | #465 | — | 4 | 8 | no | — |
| 511 | #465 | — | 4 | 8 | no | — |
| 512 | #465 | — | 4 | 8 | no | — |
| 513 | #465 | — | 4 | 8 | no | — |
| 514 | #465 | — | 4 | 8 | no | — |
| 515 | #446 | — | 4 | 8 | no | — |
| 516 | #446 | — | 4 | 8 | no | — |
| 517 | C8×Q8 | — | 4 | 8 | no | — |
| 518 | C8×Q8 | — | 4 | 8 | no | — |
| 519 | #444 | — | 8 | 32 | no | — |
| 520 | C4×Q16 | — | 2 | 8 | no | — |
| 521 | C4×Q16 | — | 2 | 8 | no | — |
| 522 | C4×Q16 | — | 4 | 4 | no | — |
| 523 | C4×Q16 | — | 4 | 4 | no | — |
| 524 | C4×Q16 | — | 4 | 4 | no | — |
| 525 | C4×Q16 | — | 4 | 4 | no | — |
| 526 | C4×SD16 | — | 4 | 8 | no | — |
| 527 | C4×SD16 | — | 4 | 8 | no | — |
| 528 | C4×SD16 | — | 4 | 8 | no | — |
| 529 | C4×SD16 | — | 4 | 8 | no | — |
| 530 | C4×SD16 | — | 4 | 8 | no | — |
| 531 | C4×SD16 | — | 4 | 8 | no | — |
| 532 | C4×D8 | — | 2 | 8 | no | — |
| 533 | C4×D8 | — | 2 | 8 | no | — |
| 534 | C4×D8 | — | 4 | 4 | no | — |
| 535 | C4×D8 | — | 4 | 4 | no | — |
| 536 | C4×D8 | — | 4 | 4 | no | — |
| 537 | C4×D8 | — | 4 | 4 | no | — |
| 538 | #436 | — | 4 | 8 | no | — |
| 539 | #436 | — | 4 | 8 | no | — |
| 540 | #435 | — | 8 | 8 | no | — |
| 541 | #435 | — | 8 | 8 | no | — |
| 542 | C8×D4 | — | 4 | 8 | no | — |
| 543 | C8×D4 | — | 4 | 8 | no | — |
| 544 | C8×D4 | — | 8 | 8 | no | — |
| 545 | C8×D4 | — | 8 | 8 | no | — |
| 546 | #433 | — | 8 | 8 | no | — |
| 547 | #432 | — | 4 | 4 | no | — |
| 548 | #432 | — | 4 | 4 | no | — |
| 549 | #431 | — | 4 | 4 | no | — |
| 550 | #431 | — | 4 | 4 | no | — |
| 551 | #431 | — | 8 | 4 | no | — |
| 552 | #431 | — | 8 | 4 | no | — |
| 553 | C2×#108 | — | 4 | 8 | no | — |
| 554 | #427 | — | 2 | 8 | no | — |
| 555 | #427 | — | 4 | 4 | no | — |
| 556 | #427 | — | 4 | 4 | no | — |
| 557 | #424 | — | 4 | 8 | no | — |
| 558 | #423 | — | 2 | 8 | no | — |
| 559 | C2×#104 | — | 4 | 16 | no | — |
| 560 | #416 | — | 4 | 8 | no | — |
| 561 | #416 | — | 4 | 8 | no | — |
| 562 | #416 | — | 4 | 8 | no | — |
| 563 | #408 | — | 4 | 8 | no | — |
| 564 | #407 | — | 4 | 4 | no | — |
| 565 | #405 | — | 4 | 8 | no | — |
| 566 | #405 | — | 8 | 8 | no | — |
| 567 | C4×M16 | — | 4 | 4 | no | — |
| 568 | C4×M16 | — | 8 | 4 | no | — |
| 569 | C2×#97 | — | 2 | 4 | no | — |
| 570 | C2×#97 | — | 2 | 8 | no | — |
| 571 | C2×#97 | — | 2 | 4 | no | — |
| 572 | C2×#97 | — | 2 | 8 | no | — |
| 573 | C2×#97 | — | 4 | 8 | no | — |
| 574 | C2×#97 | — | 8 | 8 | no | — |
| 575 | C2×C4×C8 | — | 2 | 2 | no | — |
| 576 | C2×C4×C8 | — | 2 | 2 | no | — |
| 577 | C2×C4×C8 | — | 2 | 2 | no | — |
| 578 | C2×C4×C8 | — | 2 | 2 | no | — |
| 579 | C2×C4×C8 | — | 2 | 2 | no | — |
| 580 | C2×C4×C8 | — | 2 | 1 | no | — |
| 581 | C2×C4×C8 | — | 8 | 4 | no | — |
| 582 | C2×C4×C8 | C4×D4 | 1 | 2 | yes | — |
| 583 | C2×C4×C8 | C4×D4 | 1 | 2 | yes | — |
| 584 | C2×C4×C8 | C4×D4 | 1 | 2 | yes | — |
| 585 | C2×C4×C8 | C4×D4 | 1 | 2 | yes | — |
| 586 | C2×C4×C8 | #127 | 1 | 4 | yes | — |
| 587 | C2×C4×C8 | #127 | 1 | 4 | yes | — |
| 588 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 589 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 590 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 591 | C2×C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 592 | C2×C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 593 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 594 | C2×C4×C8 | C22×D4 | 1 | 4 | yes | — |
| 595 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 596 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 597 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 598 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 599 | C2×C4×C8 | C22×D4 | 1 | 2 | yes | — |
| 600 | C2×C4×C8 | C2×#41 | 1 | 2 | yes | — |
| 601 | C2×C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 602 | C2×C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 603 | C2×C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 604 | C43 | — | 2 | 1 | no | — |
| 605 | C43 | — | 2 | 2 | no | — |
| 606 | C43 | C22×D4 | 1 | 2 | yes | — |
| 607 | #367 | — | 2 | 8 | no | — |
| 608 | #367 | — | 2 | 8 | no | — |
| 609 | #366 | — | 2 | 16 | no | — |
| 610 | #358 | — | 2 | 16 | no | — |
| 611 | #358 | — | 2 | 16 | no | — |
| 612 | #357 | — | 2 | 16 | no | — |
| 613 | #357 | — | 2 | 16 | no | — |
| 614 | #347 | — | 4 | 16 | no | — |
| 615 | #347 | — | 4 | 16 | no | — |
| 616 | #346 | — | 2 | 4 | no | — |
| 617 | #346 | C4×D4 | 1 | 4 | yes | — |
| 618 | #346 | C4×D4 | 1 | 4 | yes | — |
| 619 | #346 | C22×D4 | 1 | 8 | yes | — |
| 620 | #346 | C22×D4 | 1 | 4 | yes | — |
| 621 | #346 | C22×D4 | 1 | 4 | yes | — |
| 622 | C4×C16 | — | 2 | 4 | no | — |
| 623 | C4×C16 | — | 2 | 4 | no | — |
| 624 | C4×C16 | C4×D4 | 1 | 4 | yes | — |
| 625 | C4×C16 | C4×D4 | 1 | 4 | yes | — |
| 626 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 627 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 628 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 629 | C4×C16 | C23×C4 | 1 | 2 | yes | — |
| 630 | #341 | — | 4 | 8 | no | — |
| 631 | #339 | — | 4 | 16 | no | — |
| 632 | #335 | — | 4 | 8 | no | — |
| 633 | #335 | — | 4 | 8 | no | — |
| 634 | #334 | — | 2 | 16 | no | — |
| 635 | #334 | — | 4 | 8 | no | — |
| 636 | Q8⋊C8 | — | 4 | 16 | no | — |
| 637 | Q8⋊C8 | — | 4 | 16 | no | — |
| 638 | D4⋊C8 | — | 4 | 16 | no | — |
| 639 | D4⋊C8 | — | 4 | 16 | no | — |
| 640 | #322 | — | 2 | 8 | no | — |
| 641 | #322 | — | 2 | 8 | no | — |
| 642 | #322 | #127 | 1 | 8 | yes | — |
| 643 | #322 | C22×D4 | 1 | 8 | yes | — |
| 644 | C82 | C4×D4 | 1 | 2 | yes | — |
| 645 | C82 | C4×D4 | 1 | 2 | yes | — |
| 646 | C82 | C4×D4 | 1 | 2 | yes | — |
| 647 | C82 | C4×D4 | 1 | 2 | yes | — |
| 648 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 649 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 650 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 651 | C82 | C23×C4 | 1 | 1 | yes | characteristic |
| 652 | C82 | C2×#41 | 1 | 2 | yes | — |
| 653 | C82 | C2×#41 | 1 | 2 | yes | — |
| 654 | C2×#41 | — | 4 | 4 | no | — |
| 655 | C2×#41 | — | 4 | 4 | no | — |
| 656 | C2×#41 | — | 4 | 4 | no | — |
| 657 | C23×C4 | — | 4 | 1 | no | — |
| 658 | C23×C4 | #532 | 1 | 1 | yes | characteristic |
| 659 | C23×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 660 | #135 | — | 4 | 32 | no | — |
| 661 | #135 | — | 8 | 16 | no | — |
| 662 | #135 | — | 8 | 16 | no | — |
| 663 | C2×Q16 | — | 2 | 8 | no | — |
| 664 | C2×Q16 | — | 4 | 4 | no | — |
| 665 | C2×Q16 | — | 4 | 4 | no | — |
| 666 | C2×SD16 | — | 4 | 8 | no | — |
| 667 | C2×SD16 | — | 4 | 8 | no | — |
| 668 | C2×SD16 | — | 4 | 8 | no | — |
| 669 | C2×D8 | — | 2 | 8 | no | — |
| 670 | C2×D8 | — | 4 | 4 | no | — |
| 671 | C2×D8 | — | 4 | 4 | no | — |
| 672 | #131 | — | 8 | 32 | no | — |
| 673 | C2×M16 | — | 4 | 8 | no | — |
| 674 | C2×M16 | — | 8 | 8 | no | — |
| 675 | C22×C8 | — | 2 | 8 | no | — |
| 676 | C22×C8 | — | 2 | 4 | no | — |
| 677 | C22×C8 | — | 2 | 4 | no | — |
| 678 | C22×C8 | — | 2 | 4 | no | — |
| 679 | C22×C8 | — | 2 | 2 | no | — |
| 680 | C22×C8 | — | 4 | 8 | no | — |
| 681 | C22×C8 | — | 4 | 4 | no | — |
| 682 | C22×C8 | — | 4 | 1 | no | — |
| 683 | C22×C8 | — | 4 | 1 | no | — |
| 684 | C22×C8 | — | 8 | 8 | no | — |
| 685 | C22×C8 | — | 8 | 4 | no | — |
| 686 | C22×C8 | #442 | 1 | 4 | yes | — |
| 687 | C22×C8 | #442 | 1 | 4 | yes | — |
| 688 | C22×C8 | #442 | 1 | 4 | yes | — |
| 689 | C22×C8 | #442 | 1 | 4 | yes | — |
| 690 | C22×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 691 | C22×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 692 | C22×C8 | #532 | 1 | 2 | yes | — |
| 693 | C22×C8 | #532 | 1 | 2 | yes | — |
| 694 | C22×C8 | #532 | 1 | 2 | yes | — |
| 695 | C22×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 696 | C22×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 697 | C22×C8 | C22×#41 | 1 | 2 | yes | — |
| 698 | C4⋊Q8 | — | 2 | 4 | no | — |
| 699 | C4⋊Q8 | — | 2 | 4 | no | — |
| 700 | C4⋊Q8 | — | 2 | 4 | no | — |
| 701 | #127 | — | 2 | 4 | no | — |
| 702 | #126 | — | 8 | 4 | no | — |
| 703 | #126 | — | 8 | 4 | no | — |
| 704 | #125 | — | 4 | 4 | no | — |
| 705 | #125 | — | 4 | 4 | no | — |
| 706 | #125 | — | 4 | 4 | no | — |
| 707 | #124 | — | 4 | 4 | no | — |
| 708 | #124 | — | 4 | 4 | no | — |
| 709 | #124 | — | 4 | 4 | no | — |
| 710 | #123 | — | 8 | 4 | no | — |
| 711 | #123 | — | 8 | 4 | no | — |
| 712 | #123 | — | 8 | 4 | no | — |
| 713 | C22⋊Q8 | — | 4 | 4 | no | — |
| 714 | C22⋊Q8 | — | 4 | 4 | no | — |
| 715 | C22⋊Q8 | — | 4 | 4 | no | — |
| 716 | C22⋊Q8 | — | 4 | 4 | no | — |
| 717 | C22⋊Q8 | — | 4 | 4 | no | — |
| 718 | C22⋊Q8 | — | 4 | 4 | no | — |
| 719 | #121 | — | 4 | 4 | no | — |
| 720 | #121 | — | 4 | 4 | no | — |
| 721 | #121 | — | 4 | 4 | no | — |
| 722 | #121 | — | 4 | 4 | no | — |
| 723 | #121 | — | 4 | 4 | no | — |
| 724 | #121 | — | 4 | 4 | no | — |
| 725 | #120 | — | 8 | 4 | no | — |
| 726 | C4×Q8 | — | 4 | 4 | no | — |
| 727 | C4×Q8 | — | 4 | 4 | no | — |
| 728 | C4×Q8 | — | 4 | 4 | no | — |
| 729 | C4×Q8 | — | 4 | 4 | no | — |
| 730 | C4×Q8 | — | 4 | 4 | no | — |
| 731 | C4×Q8 | — | 4 | 4 | no | — |
| 732 | C4×D4 | — | 4 | 4 | no | — |
| 733 | C4×D4 | — | 4 | 4 | no | — |
| 734 | C4×D4 | — | 4 | 4 | no | — |
| 735 | C4×D4 | — | 4 | 4 | no | — |
| 736 | C4×D4 | — | 4 | 4 | no | — |
| 737 | C4×D4 | — | 4 | 4 | no | — |
| 738 | C4×D4 | — | 8 | 4 | no | — |
| 739 | C4×D4 | — | 8 | 4 | no | — |
| 740 | C4×D4 | — | 8 | 4 | no | — |
| 741 | C4×D4 | — | 8 | 4 | no | — |
| 742 | C4×D4 | — | 8 | 4 | no | — |
| 743 | C4×D4 | — | 8 | 4 | no | — |
| 744 | #117 | — | 4 | 4 | no | — |
| 745 | #117 | — | 4 | 4 | no | — |
| 746 | #117 | — | 4 | 4 | no | — |
| 747 | #117 | — | 8 | 4 | no | — |
| 748 | #117 | — | 8 | 4 | no | — |
| 749 | #117 | — | 8 | 4 | no | — |
| 750 | C2×C42 | — | 2 | 2 | no | — |
| 751 | C2×C42 | — | 2 | 4 | no | — |
| 752 | C2×C42 | — | 4 | 4 | no | — |
| 753 | C2×C42 | — | 4 | 1 | no | — |
| 754 | C2×C42 | — | 4 | 2 | no | — |
| 755 | C2×C42 | — | 8 | 4 | no | — |
| 756 | C2×C42 | — | 8 | 4 | no | — |
| 757 | C2×C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 758 | C2×C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 759 | C2×C42 | C2×#127 | 1 | 1 | yes | characteristic |
| 760 | C2×C42 | C2×#127 | 1 | 1 | yes | characteristic |
| 761 | C2×C42 | #532 | 1 | 1 | yes | characteristic |
| 762 | C2×C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 763 | C2×C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 764 | C2×C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 765 | C2×C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 766 | Q32 | — | 4 | 16 | no | — |
| 767 | SD32 | — | 4 | 32 | no | — |
| 768 | D16 | — | 4 | 16 | no | — |
| 769 | M32 | — | 2 | 8 | no | — |
| 770 | M32 | — | 2 | 8 | no | — |
| 771 | M32 | — | 2 | 8 | no | — |
| 772 | M32 | — | 2 | 8 | no | — |
| 773 | M32 | — | 4 | 8 | no | — |
| 774 | M32 | — | 4 | 8 | no | — |
| 775 | C2×C16 | — | 2 | 8 | no | — |
| 776 | C2×C16 | — | 2 | 8 | no | — |
| 777 | C2×C16 | — | 4 | 8 | no | — |
| 778 | C2×C16 | #444 | 1 | 16 | yes | complemented |
| 779 | C2×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 780 | C2×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 781 | C2×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 782 | C2×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 783 | #108 | — | 8 | 16 | no | — |
| 784 | #107 | — | 2 | 8 | no | — |
| 785 | #107 | — | 2 | 8 | no | — |
| 786 | #107 | — | 4 | 4 | no | — |
| 787 | #107 | — | 4 | 4 | no | — |
| 788 | #107 | — | 4 | 4 | no | — |
| 789 | #107 | — | 4 | 4 | no | — |
| 790 | #106 | — | 4 | 8 | no | — |
| 791 | #106 | — | 4 | 8 | no | — |
| 792 | #106 | — | 4 | 8 | no | — |
| 793 | C4⋊C8 | — | 4 | 8 | no | — |
| 794 | C4⋊C8 | — | 4 | 8 | no | — |
| 795 | C4⋊C8 | — | 8 | 8 | no | — |
| 796 | C4⋊C8 | — | 8 | 8 | no | — |
| 797 | #104 | — | 8 | 32 | no | — |
| 798 | #103 | — | 4 | 8 | no | — |
| 799 | #103 | — | 4 | 8 | no | — |
| 800 | #103 | — | 4 | 8 | no | — |
| 801 | #103 | — | 4 | 8 | no | — |
| 802 | #103 | — | 4 | 8 | no | — |
| 803 | #103 | — | 4 | 8 | no | — |
| 804 | #102 | — | 4 | 8 | no | — |
| 805 | #102 | — | 4 | 8 | no | — |
| 806 | #102 | — | 4 | 8 | no | — |
| 807 | #102 | — | 4 | 8 | no | — |
| 808 | #102 | — | 4 | 8 | no | — |
| 809 | #102 | — | 4 | 8 | no | — |
| 810 | C22⋊C8 | — | 8 | 8 | no | — |
| 811 | C22⋊C8 | — | 8 | 8 | no | — |
| 812 | C22⋊C8 | — | 8 | 4 | no | — |
| 813 | C22⋊C8 | — | 8 | 4 | no | — |
| 814 | #97 | — | 4 | 8 | no | — |
| 815 | #97 | — | 4 | 8 | no | — |
| 816 | #97 | — | 4 | 16 | no | — |
| 817 | #97 | — | 8 | 8 | no | — |
| 818 | #97 | — | 8 | 8 | no | — |
| 819 | #97 | — | 8 | 4 | no | — |
| 820 | C4×C8 | — | 2 | 4 | no | — |
| 821 | C4×C8 | — | 2 | 4 | no | — |
| 822 | C4×C8 | — | 2 | 4 | no | — |
| 823 | C4×C8 | — | 2 | 4 | no | — |
| 824 | C4×C8 | — | 4 | 2 | no | — |
| 825 | C4×C8 | — | 8 | 8 | no | — |
| 826 | C4×C8 | — | 8 | 4 | no | — |
| 827 | C4×C8 | #442 | 1 | 4 | yes | — |
| 828 | C4×C8 | #442 | 1 | 4 | yes | — |
| 829 | C4×C8 | #442 | 1 | 4 | yes | — |
| 830 | C4×C8 | #442 | 1 | 4 | yes | — |
| 831 | C4×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 832 | C4×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 833 | C4×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 834 | C4×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 835 | C4×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 836 | C4×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 837 | C4×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 838 | C4×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 839 | C4×C8 | C2×#127 | 1 | 8 | yes | — |
| 840 | C4×C8 | C2×#127 | 1 | 2 | yes | — |
| 841 | C4×C8 | #532 | 1 | 2 | yes | — |
| 842 | C4×C8 | #532 | 1 | 2 | yes | — |
| 843 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 844 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 845 | C4×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 846 | C4×C8 | C23×D4 | 1 | 2 | yes | — |
| 847 | C4×C8 | C22×#41 | 1 | 1 | yes | characteristic |
| 848 | C24 | #3184 | 1 | 1 | yes | characteristic |
| 849 | #41 | — | 8 | 16 | no | — |
| 850 | #41 | — | 8 | 16 | no | — |
| 851 | #41 | — | 8 | 16 | no | — |
| 852 | C2×Q8 | — | 4 | 4 | no | — |
| 853 | C2×Q8 | — | 4 | 4 | no | — |
| 854 | C2×Q8 | — | 4 | 4 | no | — |
| 855 | C2×D4 | — | 4 | 4 | no | — |
| 856 | C2×D4 | — | 4 | 4 | no | — |
| 857 | C2×D4 | — | 4 | 4 | no | — |
| 858 | C2×D4 | — | 8 | 4 | no | — |
| 859 | C2×D4 | — | 8 | 4 | no | — |
| 860 | C2×D4 | — | 8 | 4 | no | — |
| 861 | C22×C4 | — | 2 | 4 | no | — |
| 862 | C22×C4 | — | 4 | 4 | no | — |
| 863 | C22×C4 | — | 4 | 2 | no | — |
| 864 | C22×C4 | — | 8 | 2 | no | — |
| 865 | C22×C4 | — | 8 | 4 | no | — |
| 866 | C22×C4 | — | 8 | 4 | no | — |
| 867 | C22×C4 | — | 8 | 4 | no | — |
| 868 | C22×C4 | — | 8 | 4 | no | — |
| 869 | C22×C4 | C4×#127 | 1 | 1 | yes | characteristic |
| 870 | C22×C4 | C4×#127 | 1 | 1 | yes | characteristic |
| 871 | C22×C4 | C2×#442 | 1 | 2 | yes | — |
| 872 | C22×C4 | C2×#442 | 1 | 2 | yes | — |
| 873 | C22×C4 | #3151 | 1 | 2 | yes | — |
| 874 | C22×C4 | #3151 | 1 | 2 | yes | — |
| 875 | C22×C4 | #3184 | 1 | 1 | yes | characteristic |
| 876 | C22×C4 | #3184 | 1 | 1 | yes | characteristic |
| 877 | C22×C4 | #3184 | 1 | 1 | yes | characteristic |
| 878 | C22×C4 | #3184 | 1 | 2 | yes | — |
| 879 | C22×C4 | C2×#532 | 1 | 1 | yes | characteristic |
| 880 | C22×C4 | C22×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 881 | Q16 | — | 4 | 16 | no | — |
| 882 | Q16 | — | 8 | 8 | no | — |
| 883 | Q16 | — | 8 | 8 | no | — |
| 884 | SD16 | — | 8 | 16 | no | — |
| 885 | SD16 | — | 8 | 16 | no | — |
| 886 | SD16 | — | 8 | 16 | no | — |
| 887 | D8 | — | 4 | 16 | no | — |
| 888 | D8 | — | 8 | 8 | no | — |
| 889 | D8 | — | 8 | 8 | no | — |
| 890 | M16 | — | 8 | 16 | no | — |
| 891 | M16 | — | 16 | 16 | no | — |
| 892 | C2×C8 | — | 2 | 4 | no | — |
| 893 | C2×C8 | — | 2 | 4 | no | — |
| 894 | C2×C8 | — | 2 | 4 | no | — |
| 895 | C2×C8 | — | 2 | 8 | no | — |
| 896 | C2×C8 | — | 2 | 8 | no | — |
| 897 | C2×C8 | — | 2 | 8 | no | — |
| 898 | C2×C8 | — | 2 | 4 | no | — |
| 899 | C2×C8 | — | 2 | 4 | no | — |
| 900 | C2×C8 | — | 2 | 8 | no | — |
| 901 | C2×C8 | — | 4 | 4 | no | — |
| 902 | C2×C8 | — | 4 | 4 | no | — |
| 903 | C2×C8 | — | 4 | 4 | no | — |
| 904 | C2×C8 | — | 4 | 8 | no | — |
| 905 | C2×C8 | — | 4 | 4 | no | — |
| 906 | C2×C8 | — | 4 | 2 | no | — |
| 907 | C2×C8 | — | 8 | 4 | no | — |
| 908 | C2×C8 | — | 8 | 4 | no | — |
| 909 | C2×C8 | — | 8 | 2 | no | — |
| 910 | C2×C8 | — | 8 | 2 | no | — |
| 911 | C2×C8 | — | 8 | 8 | no | — |
| 912 | C2×C8 | — | 16 | 16 | no | — |
| 913 | C2×C8 | C4×#127 | 1 | 2 | yes | — |
| 914 | C2×C8 | C4×#127 | 1 | 2 | yes | — |
| 915 | C2×C8 | C2×#442 | 1 | 4 | yes | — |
| 916 | C2×C8 | C2×#442 | 1 | 4 | yes | — |
| 917 | C2×C8 | C2×#442 | 1 | 4 | yes | — |
| 918 | C2×C8 | C2×#442 | 1 | 4 | yes | — |
| 919 | C2×C8 | C2×#444 | 1 | 8 | yes | — |
| 920 | C2×C8 | C22×C4×D4 | 1 | 2 | yes | — |
| 921 | C2×C8 | C2×#532 | 1 | 2 | yes | — |
| 922 | C4⋊C4 | — | 4 | 4 | no | — |
| 923 | C4⋊C4 | — | 4 | 4 | no | — |
| 924 | C4⋊C4 | — | 4 | 4 | no | — |
| 925 | C4⋊C4 | — | 4 | 4 | no | — |
| 926 | C4⋊C4 | — | 4 | 4 | no | — |
| 927 | C4⋊C4 | — | 4 | 4 | no | — |
| 928 | C4⋊C4 | — | 8 | 4 | no | — |
| 929 | C4⋊C4 | — | 8 | 4 | no | — |
| 930 | C4⋊C4 | — | 8 | 4 | no | — |
| 931 | C4⋊C4 | — | 8 | 4 | no | — |
| 932 | C4⋊C4 | — | 8 | 4 | no | — |
| 933 | C4⋊C4 | — | 8 | 4 | no | — |
| 934 | C22⋊C4 | — | 8 | 4 | no | — |
| 935 | C22⋊C4 | — | 8 | 4 | no | — |
| 936 | C22⋊C4 | — | 8 | 4 | no | — |
| 937 | C22⋊C4 | — | 8 | 4 | no | — |
| 938 | C22⋊C4 | — | 8 | 4 | no | — |
| 939 | C22⋊C4 | — | 8 | 4 | no | — |
| 940 | C22⋊C4 | — | 8 | 4 | no | — |
| 941 | C22⋊C4 | — | 8 | 4 | no | — |
| 942 | C22⋊C4 | — | 8 | 4 | no | — |
| 943 | C42 | — | 4 | 4 | no | — |
| 944 | C42 | — | 4 | 8 | no | — |
| 945 | C42 | — | 8 | 2 | no | — |
| 946 | C42 | — | 8 | 4 | no | — |
| 947 | C42 | — | 8 | 4 | no | — |
| 948 | C42 | — | 8 | 4 | no | — |
| 949 | C42 | — | 8 | 4 | no | — |
| 950 | C42 | C4×#127 | 1 | 1 | yes | characteristic |
| 951 | C42 | C4×#127 | 1 | 1 | yes | characteristic |
| 952 | C42 | C2×#442 | 1 | 2 | yes | — |
| 953 | C42 | C2×#442 | 1 | 2 | yes | — |
| 954 | C42 | #3151 | 1 | 2 | yes | — |
| 955 | C42 | #3151 | 1 | 2 | yes | — |
| 956 | C42 | #3184 | 1 | 2 | yes | — |
| 957 | C42 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 958 | C42 | C22×#127 | 1 | 1 | yes | characteristic |
| 959 | C42 | C22×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 960 | C16 | — | 2 | 4 | no | — |
| 961 | C16 | — | 2 | 4 | no | — |
| 962 | C16 | — | 4 | 8 | no | — |
| 963 | C16 | C2×#444 | 1 | 8 | yes | — |
| 964 | C16 | C2×#444 | 1 | 8 | yes | — |
| 965 | C23 | — | 2 | 2 | no | — |
| 966 | C23 | — | 4 | 2 | no | — |
| 967 | C23 | — | 8 | 4 | no | — |
| 968 | C23 | #21690 | 1 | 1 | yes | characteristic |
| 969 | C23 | #21690 | 1 | 1 | yes | characteristic |
| 970 | C23 | C2×#3184 | 1 | 1 | yes | characteristic |
| 971 | Q8 | — | 8 | 8 | no | — |
| 972 | Q8 | — | 8 | 8 | no | — |
| 973 | Q8 | — | 8 | 8 | no | — |
| 974 | D4 | — | 8 | 8 | no | — |
| 975 | D4 | — | 8 | 8 | no | — |
| 976 | D4 | — | 8 | 8 | no | — |
| 977 | D4 | — | 16 | 8 | no | — |
| 978 | D4 | — | 16 | 8 | no | — |
| 979 | D4 | — | 16 | 8 | no | — |
| 980 | C2×C4 | — | 2 | 2 | no | — |
| 981 | C2×C4 | — | 2 | 2 | no | — |
| 982 | C2×C4 | — | 2 | 2 | no | — |
| 983 | C2×C4 | — | 2 | 2 | no | — |
| 984 | C2×C4 | — | 2 | 2 | no | — |
| 985 | C2×C4 | — | 2 | 4 | no | — |
| 986 | C2×C4 | — | 2 | 4 | no | — |
| 987 | C2×C4 | — | 2 | 4 | no | — |
| 988 | C2×C4 | — | 4 | 2 | no | — |
| 989 | C2×C4 | — | 4 | 2 | no | — |
| 990 | C2×C4 | — | 4 | 2 | no | — |
| 991 | C2×C4 | — | 8 | 4 | no | — |
| 992 | C2×C4 | — | 8 | 2 | no | — |
| 993 | C2×C4 | — | 8 | 4 | no | — |
| 994 | C2×C4 | — | 8 | 4 | no | — |
| 995 | C2×C4 | — | 8 | 4 | no | — |
| 996 | C2×C4 | — | 16 | 8 | no | — |
| 997 | C2×C4 | — | 16 | 8 | no | — |
| 998 | C2×C4 | — | 16 | 4 | no | — |
| 999 | C2×C4 | — | 16 | 8 | no | — |
| 1000 | C2×C4 | #21690 | 1 | 2 | yes | — |
| 1001 | C2×C4 | #21690 | 1 | 2 | yes | — |
| 1002 | C2×C4 | #21690 | 1 | 1 | yes | characteristic |
| 1003 | C2×C4 | #21690 | 1 | 1 | yes | characteristic |
| 1004 | C2×C4 | #21706 | 1 | 4 | yes | — |
| 1005 | C2×C4 | C2×C4×#127 | 1 | 1 | yes | characteristic |
| 1006 | C2×C4 | C22×#442 | 1 | 2 | yes | — |
| 1007 | C2×C4 | C2×#3151 | 1 | 2 | yes | — |
| 1008 | C2×C4 | C2×#3184 | 1 | 1 | yes | characteristic |
| 1009 | C8 | — | 2 | 2 | no | — |
| 1010 | C8 | — | 2 | 2 | no | — |
| 1011 | C8 | — | 2 | 4 | no | — |
| 1012 | C8 | — | 2 | 4 | no | — |
| 1013 | C8 | — | 2 | 4 | no | — |
| 1014 | C8 | — | 4 | 8 | no | — |
| 1015 | C8 | — | 8 | 2 | no | — |
| 1016 | C8 | — | 16 | 8 | no | — |
| 1017 | C8 | #21706 | 1 | 4 | yes | — |
| 1018 | C8 | #33468 | 1 | 8 | yes | — |
| 1019 | C8 | C22×#444 | 1 | 4 | yes | — |
| 1020 | C22 | — | 2 | 2 | no | — |
| 1021 | C22 | — | 2 | 2 | no | — |
| 1022 | C22 | — | 2 | 2 | no | — |
| 1023 | C22 | — | 2 | 1 | no | — |
| 1024 | C22 | — | 2 | 1 | no | — |
| 1025 | C22 | — | 4 | 4 | no | — |
| 1026 | C22 | — | 16 | 4 | no | — |
| 1027 | C22 | — | 16 | 4 | no | — |
| 1028 | C22 | — | 16 | 4 | no | — |
| 1029 | C22 | #213274 | 1 | 2 | yes | — |
| 1030 | C22 | C2×#21690 | 1 | 1 | yes | characteristic |
| 1031 | C4 | — | 2 | 2 | no | — |
| 1032 | C4 | — | 2 | 2 | no | — |
| 1033 | C4 | — | 2 | 2 | no | — |
| 1034 | C4 | — | 2 | 1 | no | — |
| 1035 | C4 | — | 2 | 1 | no | — |
| 1036 | C4 | — | 16 | 2 | no | — |
| 1037 | C4 | — | 16 | 4 | no | — |
| 1038 | C4 | — | 16 | 4 | no | — |
| 1039 | C4 | — | 16 | 4 | no | — |
| 1040 | C4 | #213274 | 1 | 2 | yes | — |
| 1041 | C4 | C2×#21706 | 1 | 2 | yes | — |
| 1042 | C4 | C2×#33468 | 1 | 4 | yes | — |
| 1043 | C2 | — | 2 | 2 | no | — |
| 1044 | C2 | — | 4 | 1 | no | — |
| 1045 | C2 | — | 4 | 1 | no | — |
| 1046 | C2 | — | 32 | 4 | no | — |
| 1047 | C2 | #72224815 | 1 | 2 | yes | — |
| 1048 | C2 | C2×#213274 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2×C4 | #21690 |
| commutator | C4×C8 | C24×C4 |
| Frattini, cosocle | C2×C4×C8 | C25 |
| socle | C22 | C2×#21690 |
| prime radical | #72225180 | C2 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2×C4 ◁ C22×C42 ◁ C2×#7846 ◁ G | |
| LECS | G ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72225279 | C2 | semidirect |
| 2. #72225276 | C2 | semidirect |
| 3. #72225275 | C2 | semidirect |
| 4. #72225272 | C2 | semidirect |
| 5. #72225270 | C2 | semidirect |
| 6. #72225269 | C2 | semidirect |
| 7. #72225265 | C2 | semidirect |
| 9. #72225156 | C2 | semidirect |
| 10. C2×#126544 | C2 | semidirect |
| 11. #72213975 | C2 | semidirect |
| 18. #491503 | C4 | semidirect |
| 20. #491502 | C4 | semidirect |
| 22. #491501 | C4 | semidirect |
| 24. #491500 | C4 | semidirect |
| 26. #491478 | C4 | semidirect |
| 27. #491465 | C4 | semidirect |
| 28. #491449 | C4 | semidirect |
| 29. #491436 | C4 | semidirect |
| 130. #12523 | C2×C4 | semidirect |
| 131. #12523 | C2×C4 | semidirect |
| 132. #12522 | C2×C4 | semidirect |
| 133. #12521 | C2×C4 | semidirect |
| 134. #12518 | C2×C4 | semidirect |
| 135. #12517 | C2×C4 | semidirect |
| 136. #12516 | C2×C4 | semidirect |
| 137. #12515 | C2×C4 | semidirect |
| 138. #12511 | C2×C4 | semidirect |
| 139. #12510 | C2×C4 | semidirect |
| 140. #12510 | C2×C4 | semidirect |
| 141. #12509 | C2×C4 | semidirect |
| 142. #12509 | C2×C4 | semidirect |
| 143. #12508 | C2×C4 | semidirect |
| 144. #12508 | C2×C4 | semidirect |
| 145. #12507 | C2×C4 | semidirect |
| 146. #12507 | C2×C4 | semidirect |
| 147. #12506 | C2×C4 | semidirect |
| 148. #12506 | C2×C4 | semidirect |
| 778. C2×C16 | #444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72225279 | 2 |
| #72225276 | 2 |
| #72225275 | 2 |
| #72225272 | 2 |
| #72225270 | 2 |
| #72225269 | 2 |
| #72225265 | 2 |
| #72225180 | 2 |
| #72225156 | 2 |
| C2×#126544 | 2 |
| #72213975 | 2 |