← #72323103
Subgroups — #72323103
Order 2048.
2006 conjugacy classes of subgroups.
The subgroup lattice has 776 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72322776 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72322704 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #72322668 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#483470 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C2×#151068 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72321083 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #72320245 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72286713 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | C22×#7463 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×C16×#41 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#17828 | — | 2 | 1 | no | — |
| 12 | C2×#13640 | C22 | 1 | 1 | yes | characteristic |
| 13 | C22×#1397 | C22 | 1 | 1 | yes | characteristic |
| 14 | #483470 | — | 2 | 4 | no | — |
| 15 | #483470 | — | 2 | 4 | no | — |
| 16 | C2×#12033 | — | 2 | 2 | no | — |
| 17 | C2×#12033 | — | 2 | 1 | no | — |
| 18 | C2×#12024 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#12023 | C22 | 1 | 2 | yes | — |
| 20 | C2×#12023 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×#1372 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×#1372 | C22 | 1 | 2 | yes | — |
| 23 | C22×#1372 | C22 | 1 | 1 | yes | characteristic |
| 24 | #189511 | — | 2 | 1 | no | — |
| 25 | #152998 | C4 | 1 | 2 | yes | — |
| 26 | #152876 | C4 | 1 | 2 | yes | — |
| 27 | #152486 | C4 | 1 | 2 | yes | — |
| 28 | #152486 | C4 | 1 | 2 | yes | — |
| 29 | #151885 | C22 | 1 | 4 | yes | — |
| 30 | #151068 | — | 2 | 4 | no | — |
| 31 | C2×#7463 | — | 2 | 4 | no | — |
| 32 | C2×#7463 | C22 | 1 | 2 | yes | — |
| 33 | C2×#7463 | C22 | 1 | 4 | yes | — |
| 34 | C2×#7463 | C22 | 1 | 2 | yes | — |
| 35 | #134695 | — | 2 | 2 | no | — |
| 36 | #134673 | C22 | 1 | 4 | yes | — |
| 37 | #126704 | — | 2 | 1 | no | — |
| 38 | #94023 | C22 | 1 | 2 | yes | — |
| 39 | #94023 | C22 | 1 | 4 | yes | — |
| 40 | #94023 | C22 | 1 | 2 | yes | — |
| 41 | C2×C8×#41 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×#2906 | — | 4 | 1 | no | — |
| 43 | C23×C32 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C23×C32 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C16×#41 | — | 2 | 2 | no | — |
| 46 | C16×#41 | — | 2 | 2 | no | — |
| 47 | C16×#41 | — | 2 | 2 | no | — |
| 48 | C16×#41 | — | 2 | 2 | no | — |
| 49 | C2×Q8×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | C2×Q8×C16 | Q8 | 1 | 1 | yes | characteristic |
| 51 | C2×D4×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×D4×C16 | C2×C4 | 1 | 2 | yes | — |
| 53 | C2×D4×C16 | Q8 | 1 | 2 | yes | — |
| 54 | C2×D4×C16 | Q8 | 1 | 1 | yes | characteristic |
| 55 | C2×#2162 | D4 | 1 | 2 | yes | — |
| 56 | C2×#2162 | D4 | 1 | 1 | yes | characteristic |
| 57 | C22×C4×C16 | C23 | 1 | 2 | yes | — |
| 58 | C22×C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 59 | #21851 | — | 4 | 1 | no | — |
| 60 | #17828 | — | 2 | 8 | no | — |
| 61 | #17828 | — | 4 | 4 | no | — |
| 62 | C2×#1571 | — | 4 | 2 | no | — |
| 63 | C2×#1571 | — | 4 | 1 | no | — |
| 64 | C2×#1568 | — | 2 | 1 | no | — |
| 65 | C2×#1567 | — | 2 | 2 | no | — |
| 66 | C2×#1567 | — | 2 | 1 | no | — |
| 67 | C22×#335 | — | 2 | 2 | no | — |
| 68 | C22×#335 | — | 2 | 1 | no | — |
| 69 | C22×#335 | — | 2 | 1 | no | — |
| 70 | #13640 | — | 2 | 2 | no | — |
| 71 | #13640 | — | 2 | 2 | no | — |
| 72 | C2×C4⋊C32 | C2×C4 | 1 | 2 | yes | — |
| 73 | C2×C22⋊C32 | C2×C4 | 1 | 4 | yes | — |
| 74 | C2×C22⋊C32 | C2×C4 | 1 | 2 | yes | — |
| 75 | C2×C22⋊C32 | C2×C4 | 1 | 4 | yes | — |
| 76 | C2×#1397 | — | 2 | 2 | no | — |
| 77 | C2×#1397 | — | 2 | 2 | no | — |
| 78 | C2×#1397 | C2×C4 | 1 | 2 | yes | — |
| 79 | C2×#1397 | C23 | 1 | 2 | yes | — |
| 80 | C2×#1397 | C23 | 1 | 2 | yes | — |
| 81 | #12033 | — | 2 | 16 | no | — |
| 82 | #12033 | — | 2 | 8 | no | — |
| 83 | #12024 | — | 2 | 2 | no | — |
| 84 | #12024 | — | 2 | 2 | no | — |
| 85 | #12023 | — | 2 | 4 | no | — |
| 86 | #12023 | — | 2 | 4 | no | — |
| 87 | #12023 | — | 2 | 2 | no | — |
| 88 | #12023 | D4 | 1 | 4 | yes | — |
| 89 | C2×#1372 | — | 2 | 4 | no | — |
| 90 | C2×#1372 | — | 2 | 4 | no | — |
| 91 | C2×#1372 | — | 2 | 2 | no | — |
| 92 | C2×#1372 | — | 2 | 1 | no | — |
| 93 | C2×#1372 | — | 2 | 2 | no | — |
| 94 | C2×#1372 | — | 2 | 2 | no | — |
| 95 | C2×#1372 | — | 2 | 1 | no | — |
| 96 | C2×#1372 | — | 2 | 1 | no | — |
| 97 | C2×#1372 | — | 2 | 2 | no | — |
| 98 | C2×#1372 | — | 2 | 2 | no | — |
| 99 | C2×#1372 | D4 | 1 | 4 | yes | — |
| 100 | C2×#1372 | C23 | 1 | 2 | yes | — |
| 101 | C2×#1372 | C23 | 1 | 2 | yes | — |
| 102 | C2×#1372 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×#1372 | C23 | 1 | 2 | yes | — |
| 104 | C2×#1372 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×#1371 | — | 2 | 1 | no | — |
| 106 | #8600 | — | 4 | 2 | no | — |
| 107 | #8596 | — | 2 | 4 | no | — |
| 108 | #7879 | — | 4 | 1 | no | — |
| 109 | #7465 | C2×C4 | 1 | 4 | yes | — |
| 110 | #7465 | C2×C4 | 1 | 4 | yes | — |
| 111 | #7463 | — | 2 | 8 | no | — |
| 112 | #7463 | — | 2 | 4 | no | — |
| 113 | #7463 | — | 2 | 4 | no | — |
| 114 | #7154 | — | 2 | 4 | no | — |
| 115 | C22×#131 | — | 8 | 1 | no | — |
| 116 | C2×C4×#41 | D8 | 1 | 1 | yes | characteristic |
| 117 | C23×C16 | C22×C4 | 1 | 2 | yes | — |
| 118 | C23×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 119 | C23×C16 | C2×Q8 | 1 | 2 | yes | — |
| 120 | C23×C16 | C2×Q8 | 1 | 1 | yes | characteristic |
| 121 | C8×#41 | — | 2 | 2 | no | — |
| 122 | C8×#41 | — | 2 | 2 | no | — |
| 123 | C8×#41 | — | 2 | 2 | no | — |
| 124 | C8×#41 | — | 2 | 2 | no | — |
| 125 | C2×C8×Q8 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 126 | C2×C8×Q8 | Q16 | 1 | 1 | yes | characteristic |
| 127 | C2×C8×D4 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 128 | C2×C8×D4 | C4⋊C4 | 1 | 2 | yes | — |
| 129 | C2×C8×D4 | Q16 | 1 | 1 | yes | characteristic |
| 130 | C2×C8×D4 | Q16 | 1 | 2 | yes | — |
| 131 | C2×#432 | — | 4 | 1 | no | — |
| 132 | C2×#431 | D8 | 1 | 2 | yes | — |
| 133 | C2×#431 | D8 | 1 | 1 | yes | characteristic |
| 134 | #2906 | — | 4 | 8 | no | — |
| 135 | #2906 | — | 8 | 4 | no | — |
| 136 | C2×#424 | — | 8 | 1 | no | — |
| 137 | C2×#424 | — | 8 | 2 | no | — |
| 138 | C2×#423 | — | 4 | 2 | no | — |
| 139 | C2×#423 | — | 4 | 1 | no | — |
| 140 | C22×C4⋊C8 | — | 4 | 2 | no | — |
| 141 | C22×C4⋊C8 | — | 4 | 1 | no | — |
| 142 | C22×C4⋊C8 | — | 4 | 1 | no | — |
| 143 | C22×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 144 | C22×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C22×C32 | — | 2 | 2 | no | — |
| 146 | C22×C32 | — | 2 | 4 | no | — |
| 147 | C22×C32 | — | 2 | 2 | no | — |
| 148 | C22×C32 | — | 4 | 2 | no | — |
| 149 | C22×C32 | C22×C4 | 1 | 4 | yes | — |
| 150 | C22×C32 | C22×C4 | 1 | 2 | yes | — |
| 151 | C22×C32 | C22×C4 | 1 | 2 | yes | — |
| 152 | Q8×C16 | — | 2 | 2 | no | — |
| 153 | Q8×C16 | — | 2 | 2 | no | — |
| 154 | Q8×C16 | — | 2 | 2 | no | — |
| 155 | Q8×C16 | — | 2 | 2 | no | — |
| 156 | D4×C16 | — | 2 | 4 | no | — |
| 157 | D4×C16 | — | 2 | 4 | no | — |
| 158 | D4×C16 | — | 2 | 4 | no | — |
| 159 | D4×C16 | — | 2 | 4 | no | — |
| 160 | D4×C16 | — | 2 | 2 | no | — |
| 161 | D4×C16 | — | 2 | 2 | no | — |
| 162 | D4×C16 | — | 2 | 2 | no | — |
| 163 | D4×C16 | — | 2 | 2 | no | — |
| 164 | #2162 | — | 2 | 2 | no | — |
| 165 | #2162 | — | 2 | 2 | no | — |
| 166 | #2162 | — | 2 | 4 | no | — |
| 167 | #2162 | — | 2 | 4 | no | — |
| 168 | C2×C4⋊C16 | C4⋊C4 | 1 | 2 | yes | — |
| 169 | C2×C4⋊C16 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 170 | C2×C4⋊C16 | C4⋊C4 | 1 | 2 | yes | — |
| 171 | C2×C4⋊C16 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 172 | C2×C22⋊C16 | C4⋊C4 | 1 | 2 | yes | — |
| 173 | C2×C22⋊C16 | C4⋊C4 | 1 | 2 | yes | — |
| 174 | C2×C22⋊C16 | C4⋊C4 | 1 | 2 | yes | — |
| 175 | C2×C4×C16 | — | 2 | 2 | no | — |
| 176 | C2×C4×C16 | — | 2 | 2 | no | — |
| 177 | C2×C4×C16 | — | 2 | 2 | no | — |
| 178 | C2×C4×C16 | — | 2 | 2 | no | — |
| 179 | C2×C4×C16 | C22×C4 | 1 | 2 | yes | — |
| 180 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 181 | C2×C4×C16 | C2×D4 | 1 | 2 | yes | — |
| 182 | C2×C4×C16 | C2×D4 | 1 | 2 | yes | — |
| 183 | C2×C4×C16 | C2×D4 | 1 | 2 | yes | — |
| 184 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×C4×C16 | C2×Q8 | 1 | 2 | yes | — |
| 186 | C2×C4×C16 | C2×Q8 | 1 | 1 | yes | characteristic |
| 187 | C2×C4×C16 | #41 | 1 | 2 | yes | — |
| 188 | C2×C4×C16 | #41 | 1 | 2 | yes | — |
| 189 | C2×C4×C16 | C24 | 1 | 1 | yes | characteristic |
| 190 | #1985 | — | 8 | 1 | no | — |
| 191 | #1955 | — | 8 | 1 | no | — |
| 192 | #1869 | — | 8 | 2 | no | — |
| 193 | #1797 | — | 4 | 4 | no | — |
| 194 | #1571 | — | 4 | 8 | no | — |
| 195 | #1571 | — | 4 | 16 | no | — |
| 196 | #1568 | — | 4 | 2 | no | — |
| 197 | #1568 | — | 4 | 2 | no | — |
| 198 | #1567 | — | 2 | 8 | no | — |
| 199 | #1567 | — | 2 | 4 | no | — |
| 200 | #1567 | — | 4 | 4 | no | — |
| 201 | #1567 | — | 4 | 2 | no | — |
| 202 | C2×#335 | — | 2 | 8 | no | — |
| 203 | C2×#335 | — | 2 | 4 | no | — |
| 204 | C2×#335 | — | 2 | 1 | no | — |
| 205 | C2×#335 | — | 2 | 2 | no | — |
| 206 | C2×#335 | — | 2 | 1 | no | — |
| 207 | C2×#335 | — | 2 | 2 | no | — |
| 208 | C2×#335 | — | 2 | 2 | no | — |
| 209 | C2×#335 | — | 4 | 4 | no | — |
| 210 | C2×#335 | — | 4 | 2 | no | — |
| 211 | C2×#335 | — | 4 | 1 | no | — |
| 212 | C2×#335 | — | 4 | 2 | no | — |
| 213 | C2×#335 | — | 4 | 1 | no | — |
| 214 | C2×#335 | — | 4 | 2 | no | — |
| 215 | C2×#335 | — | 4 | 2 | no | — |
| 216 | C2×#335 | — | 4 | 2 | no | — |
| 217 | C2×#335 | — | 4 | 1 | no | — |
| 218 | C2×#334 | — | 4 | 1 | no | — |
| 219 | C4⋊C32 | — | 2 | 4 | no | — |
| 220 | C22⋊C32 | — | 2 | 4 | no | — |
| 221 | C22⋊C32 | — | 2 | 8 | no | — |
| 222 | C22⋊C32 | — | 4 | 4 | no | — |
| 223 | #1397 | — | 2 | 4 | no | — |
| 224 | #1397 | — | 2 | 2 | no | — |
| 225 | #1397 | — | 2 | 2 | no | — |
| 226 | #1397 | — | 2 | 2 | no | — |
| 227 | #1397 | — | 2 | 2 | no | — |
| 228 | #1372 | — | 2 | 8 | no | — |
| 229 | #1372 | — | 2 | 8 | no | — |
| 230 | #1372 | — | 2 | 4 | no | — |
| 231 | #1372 | — | 2 | 4 | no | — |
| 232 | #1372 | — | 2 | 1 | no | — |
| 233 | #1372 | — | 2 | 2 | no | — |
| 234 | #1372 | — | 2 | 1 | no | — |
| 235 | #1372 | — | 2 | 2 | no | — |
| 236 | #1372 | — | 2 | 2 | no | — |
| 237 | #1372 | — | 2 | 2 | no | — |
| 238 | #1372 | — | 2 | 2 | no | — |
| 239 | #1372 | — | 4 | 2 | no | — |
| 240 | #1372 | C2×D4 | 1 | 2 | yes | — |
| 241 | #1372 | C2×D4 | 1 | 4 | yes | — |
| 242 | #1372 | C2×D4 | 1 | 2 | yes | — |
| 243 | #1371 | — | 4 | 2 | no | — |
| 244 | #1277 | — | 4 | 4 | no | — |
| 245 | C22×#41 | SD32 | 1 | 1 | yes | characteristic |
| 246 | C2×#131 | — | 8 | 8 | no | — |
| 247 | C2×#131 | — | 16 | 8 | no | — |
| 248 | C22×M16 | — | 8 | 2 | no | — |
| 249 | C22×M16 | — | 8 | 1 | no | — |
| 250 | C23×C8 | — | 8 | 2 | no | — |
| 251 | C23×C8 | — | 8 | 1 | no | — |
| 252 | C23×C8 | — | 8 | 1 | no | — |
| 253 | C23×C8 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 254 | C23×C8 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 255 | C23×C8 | C2×Q16 | 1 | 2 | yes | — |
| 256 | C23×C8 | C2×Q16 | 1 | 1 | yes | characteristic |
| 257 | C4×#41 | — | 2 | 2 | no | — |
| 258 | C4×#41 | — | 2 | 2 | no | — |
| 259 | C4×#41 | — | 2 | 2 | no | — |
| 260 | C4×#41 | — | 2 | 2 | no | — |
| 261 | C2×C4×Q8 | #107 | 1 | 1 | yes | characteristic |
| 262 | C2×C4×Q8 | SD32 | 1 | 1 | yes | characteristic |
| 263 | C2×C4×D4 | #107 | 1 | 2 | yes | — |
| 264 | C2×C4×D4 | #107 | 1 | 1 | yes | characteristic |
| 265 | C2×C4×D4 | SD32 | 1 | 2 | yes | — |
| 266 | C2×C4×D4 | SD32 | 1 | 1 | yes | characteristic |
| 267 | C2×#117 | SD32 | 1 | 1 | yes | characteristic |
| 268 | C2×#117 | SD32 | 1 | 2 | yes | — |
| 269 | C22×C42 | C2×D8 | 1 | 2 | yes | — |
| 270 | C22×C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 271 | C22×C16 | — | 2 | 2 | no | — |
| 272 | C22×C16 | — | 2 | 2 | no | — |
| 273 | C22×C16 | — | 2 | 2 | no | — |
| 274 | C22×C16 | — | 2 | 2 | no | — |
| 275 | C22×C16 | — | 2 | 4 | no | — |
| 276 | C22×C16 | — | 2 | 4 | no | — |
| 277 | C22×C16 | — | 2 | 2 | no | — |
| 278 | C22×C16 | — | 2 | 2 | no | — |
| 279 | C22×C16 | — | 4 | 2 | no | — |
| 280 | C22×C16 | — | 4 | 4 | no | — |
| 281 | C22×C16 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 282 | C22×C16 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 283 | C22×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 284 | C22×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 285 | C22×C16 | C4×D4 | 1 | 2 | yes | — |
| 286 | C22×C16 | C4×D4 | 1 | 2 | yes | — |
| 287 | C22×C16 | C22⋊Q8 | 1 | 2 | yes | — |
| 288 | C22×C16 | C22⋊Q8 | 1 | 2 | yes | — |
| 289 | C22×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 290 | C22×C16 | C22×Q8 | 1 | 1 | yes | characteristic |
| 291 | C8×Q8 | — | 2 | 2 | no | — |
| 292 | C8×Q8 | — | 2 | 2 | no | — |
| 293 | C8×Q8 | — | 2 | 2 | no | — |
| 294 | C8×Q8 | — | 2 | 2 | no | — |
| 295 | C8×D4 | — | 2 | 4 | no | — |
| 296 | C8×D4 | — | 2 | 4 | no | — |
| 297 | C8×D4 | — | 2 | 4 | no | — |
| 298 | C8×D4 | — | 2 | 4 | no | — |
| 299 | C8×D4 | — | 2 | 2 | no | — |
| 300 | C8×D4 | — | 2 | 2 | no | — |
| 301 | C8×D4 | — | 2 | 2 | no | — |
| 302 | C8×D4 | — | 2 | 2 | no | — |
| 303 | #432 | — | 8 | 2 | no | — |
| 304 | #432 | — | 8 | 2 | no | — |
| 305 | #431 | — | 2 | 2 | no | — |
| 306 | #431 | — | 2 | 2 | no | — |
| 307 | #431 | — | 2 | 4 | no | — |
| 308 | #431 | — | 2 | 4 | no | — |
| 309 | #424 | — | 8 | 8 | no | — |
| 310 | #424 | — | 8 | 16 | no | — |
| 311 | #423 | — | 4 | 8 | no | — |
| 312 | #423 | — | 4 | 4 | no | — |
| 313 | #423 | — | 8 | 4 | no | — |
| 314 | #423 | — | 8 | 2 | no | — |
| 315 | C2×C4⋊C8 | — | 4 | 8 | no | — |
| 316 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 317 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 318 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 319 | C2×C4⋊C8 | — | 4 | 4 | no | — |
| 320 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 321 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 322 | C2×C4⋊C8 | — | 8 | 4 | no | — |
| 323 | C2×C4⋊C8 | — | 8 | 2 | no | — |
| 324 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 325 | C2×C4⋊C8 | — | 8 | 2 | no | — |
| 326 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 327 | C2×C4⋊C8 | — | 8 | 2 | no | — |
| 328 | C2×C4⋊C8 | — | 8 | 2 | no | — |
| 329 | C2×C4⋊C8 | — | 8 | 2 | no | — |
| 330 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 331 | C2×C4⋊C8 | #107 | 1 | 2 | yes | — |
| 332 | C2×C4⋊C8 | #107 | 1 | 1 | yes | characteristic |
| 333 | C2×C4⋊C8 | #107 | 1 | 2 | yes | — |
| 334 | C2×C4⋊C8 | #107 | 1 | 1 | yes | characteristic |
| 335 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 336 | C2×C22⋊C8 | — | 8 | 4 | no | — |
| 337 | C2×C22⋊C8 | #107 | 1 | 2 | yes | — |
| 338 | C2×C22⋊C8 | #107 | 1 | 2 | yes | — |
| 339 | C2×C22⋊C8 | #107 | 1 | 2 | yes | — |
| 340 | C2×#97 | — | 8 | 1 | no | — |
| 341 | C2×C4×C8 | — | 2 | 2 | no | — |
| 342 | C2×C4×C8 | — | 2 | 2 | no | — |
| 343 | C2×C4×C8 | — | 2 | 2 | no | — |
| 344 | C2×C4×C8 | — | 2 | 2 | no | — |
| 345 | C2×C4×C8 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 346 | C2×C4×C8 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 347 | C2×C4×C8 | #120 | 1 | 2 | yes | — |
| 348 | C2×C4×C8 | #123 | 1 | 2 | yes | — |
| 349 | C2×C4×C8 | C2×D8 | 1 | 2 | yes | — |
| 350 | C2×C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 351 | C2×C4×C8 | C2×Q16 | 1 | 2 | yes | — |
| 352 | C2×C4×C8 | C2×Q16 | 1 | 1 | yes | characteristic |
| 353 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 354 | C2×C4×C8 | #137 | 1 | 2 | yes | — |
| 355 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 356 | C2×C32 | — | 2 | 8 | no | — |
| 357 | C2×C32 | — | 2 | 2 | no | — |
| 358 | C2×C32 | — | 2 | 2 | no | — |
| 359 | C2×C32 | — | 2 | 2 | no | — |
| 360 | C2×C32 | — | 2 | 4 | no | — |
| 361 | C2×C32 | — | 2 | 4 | no | — |
| 362 | C2×C32 | — | 2 | 2 | no | — |
| 363 | C2×C32 | — | 2 | 4 | no | — |
| 364 | C2×C32 | — | 2 | 2 | no | — |
| 365 | C2×C32 | — | 4 | 4 | no | — |
| 366 | C2×C32 | #131 | 1 | 4 | yes | complemented |
| 367 | C4⋊C16 | — | 2 | 4 | no | — |
| 368 | C4⋊C16 | — | 2 | 4 | no | — |
| 369 | C4⋊C16 | — | 2 | 2 | no | — |
| 370 | C4⋊C16 | — | 2 | 2 | no | — |
| 371 | C22⋊C16 | — | 2 | 4 | no | — |
| 372 | C22⋊C16 | — | 2 | 4 | no | — |
| 373 | C22⋊C16 | — | 2 | 4 | no | — |
| 374 | C4×C16 | — | 2 | 2 | no | — |
| 375 | C4×C16 | — | 2 | 2 | no | — |
| 376 | C4×C16 | — | 2 | 2 | no | — |
| 377 | C4×C16 | — | 2 | 2 | no | — |
| 378 | C4×C16 | — | 2 | 2 | no | — |
| 379 | C4×C16 | — | 2 | 2 | no | — |
| 380 | C4×C16 | C4×D4 | 1 | 2 | yes | — |
| 381 | C4×C16 | C4×D4 | 1 | 2 | yes | — |
| 382 | C4×C16 | #120 | 1 | 2 | yes | — |
| 383 | C4×C16 | C22⋊Q8 | 1 | 2 | yes | — |
| 384 | C4×C16 | C22⋊Q8 | 1 | 2 | yes | — |
| 385 | C4×C16 | #123 | 1 | 2 | yes | — |
| 386 | C4×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 387 | C4×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 388 | C4×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 389 | C4×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 390 | #336 | — | 8 | 4 | no | — |
| 391 | #335 | — | 2 | 2 | no | — |
| 392 | #335 | — | 2 | 4 | no | — |
| 393 | #335 | — | 2 | 2 | no | — |
| 394 | #335 | — | 4 | 8 | no | — |
| 395 | #335 | — | 4 | 8 | no | — |
| 396 | #335 | — | 4 | 2 | no | — |
| 397 | #335 | — | 4 | 2 | no | — |
| 398 | #335 | — | 4 | 1 | no | — |
| 399 | #335 | — | 4 | 2 | no | — |
| 400 | #335 | — | 4 | 1 | no | — |
| 401 | #335 | — | 4 | 2 | no | — |
| 402 | #335 | — | 4 | 2 | no | — |
| 403 | #335 | — | 4 | 4 | no | — |
| 404 | #335 | — | 4 | 4 | no | — |
| 405 | #335 | — | 8 | 2 | no | — |
| 406 | #334 | — | 8 | 2 | no | — |
| 407 | C2×#41 | — | 2 | 8 | no | — |
| 408 | C2×#41 | — | 2 | 2 | no | — |
| 409 | C2×#41 | — | 2 | 2 | no | — |
| 410 | C22×Q8 | #367 | 1 | 1 | yes | characteristic |
| 411 | C22×D4 | #367 | 1 | 1 | yes | characteristic |
| 412 | C22×D4 | #367 | 1 | 2 | yes | — |
| 413 | C23×C4 | C2×#107 | 1 | 2 | yes | — |
| 414 | C23×C4 | C2×#107 | 1 | 1 | yes | characteristic |
| 415 | C23×C4 | C2×SD32 | 1 | 2 | yes | — |
| 416 | C23×C4 | C2×SD32 | 1 | 1 | yes | characteristic |
| 417 | C23×C4 | C2×SD32 | 1 | 2 | yes | — |
| 418 | C23×C4 | C2×SD32 | 1 | 1 | yes | characteristic |
| 419 | #131 | — | 16 | 32 | no | — |
| 420 | C2×M16 | — | 8 | 8 | no | — |
| 421 | C2×M16 | — | 8 | 4 | no | — |
| 422 | C2×M16 | — | 16 | 4 | no | — |
| 423 | C2×M16 | — | 16 | 4 | no | — |
| 424 | C2×M16 | — | 16 | 4 | no | — |
| 425 | C22×C8 | — | 2 | 2 | no | — |
| 426 | C22×C8 | — | 2 | 2 | no | — |
| 427 | C22×C8 | — | 2 | 4 | no | — |
| 428 | C22×C8 | — | 2 | 2 | no | — |
| 429 | C22×C8 | — | 2 | 4 | no | — |
| 430 | C22×C8 | — | 2 | 2 | no | — |
| 431 | C22×C8 | — | 2 | 2 | no | — |
| 432 | C22×C8 | — | 2 | 2 | no | — |
| 433 | C22×C8 | — | 4 | 2 | no | — |
| 434 | C22×C8 | — | 4 | 4 | no | — |
| 435 | C22×C8 | — | 8 | 8 | no | — |
| 436 | C22×C8 | — | 8 | 1 | no | — |
| 437 | C22×C8 | — | 8 | 2 | no | — |
| 438 | C22×C8 | — | 8 | 1 | no | — |
| 439 | C22×C8 | — | 8 | 4 | no | — |
| 440 | C22×C8 | — | 8 | 2 | no | — |
| 441 | C22×C8 | — | 8 | 2 | no | — |
| 442 | C22×C8 | — | 16 | 4 | no | — |
| 443 | C22×C8 | — | 16 | 4 | no | — |
| 444 | C22×C8 | — | 16 | 4 | no | — |
| 445 | C22×C8 | — | 16 | 2 | no | — |
| 446 | C22×C8 | — | 32 | 2 | no | — |
| 447 | C22×C8 | #385 | 1 | 2 | yes | — |
| 448 | C22×C8 | C2×#107 | 1 | 2 | yes | — |
| 449 | C22×C8 | C2×#107 | 1 | 2 | yes | — |
| 450 | C22×C8 | C2×#107 | 1 | 1 | yes | characteristic |
| 451 | C22×C8 | C2×#107 | 1 | 1 | yes | characteristic |
| 452 | C22×C8 | #428 | 1 | 2 | yes | — |
| 453 | C22×C8 | #451 | 1 | 2 | yes | — |
| 454 | C22×C8 | #484 | 1 | 2 | yes | — |
| 455 | C22×C8 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 456 | C22×C8 | C22×Q16 | 1 | 1 | yes | characteristic |
| 457 | C4×Q8 | — | 2 | 2 | no | — |
| 458 | C4×Q8 | — | 2 | 2 | no | — |
| 459 | C4×Q8 | — | 2 | 2 | no | — |
| 460 | C4×Q8 | — | 2 | 2 | no | — |
| 461 | C4×D4 | — | 2 | 4 | no | — |
| 462 | C4×D4 | — | 2 | 4 | no | — |
| 463 | C4×D4 | — | 2 | 4 | no | — |
| 464 | C4×D4 | — | 2 | 4 | no | — |
| 465 | C4×D4 | — | 2 | 2 | no | — |
| 466 | C4×D4 | — | 2 | 2 | no | — |
| 467 | C4×D4 | — | 2 | 2 | no | — |
| 468 | C4×D4 | — | 2 | 2 | no | — |
| 469 | #117 | — | 2 | 2 | no | — |
| 470 | #117 | — | 2 | 2 | no | — |
| 471 | #117 | — | 2 | 4 | no | — |
| 472 | #117 | — | 2 | 4 | no | — |
| 473 | C2×C4⋊C4 | #367 | 1 | 1 | yes | characteristic |
| 474 | C2×C4⋊C4 | #367 | 1 | 2 | yes | — |
| 475 | C2×C4⋊C4 | #367 | 1 | 1 | yes | characteristic |
| 476 | C2×C4⋊C4 | #367 | 1 | 2 | yes | — |
| 477 | C2×C22⋊C4 | #367 | 1 | 2 | yes | — |
| 478 | C2×C22⋊C4 | #367 | 1 | 2 | yes | — |
| 479 | C2×C22⋊C4 | #367 | 1 | 2 | yes | — |
| 480 | C2×C42 | — | 2 | 2 | no | — |
| 481 | C2×C42 | — | 2 | 2 | no | — |
| 482 | C2×C42 | — | 2 | 2 | no | — |
| 483 | C2×C42 | — | 2 | 2 | no | — |
| 484 | C2×C42 | C2×#107 | 1 | 2 | yes | — |
| 485 | C2×C42 | C2×#107 | 1 | 1 | yes | characteristic |
| 486 | C2×C42 | #447 | 1 | 2 | yes | — |
| 487 | C2×C42 | #480 | 1 | 2 | yes | — |
| 488 | C2×C42 | C2×SD32 | 1 | 2 | yes | — |
| 489 | C2×C42 | C2×SD32 | 1 | 2 | yes | — |
| 490 | C2×C42 | C2×SD32 | 1 | 1 | yes | characteristic |
| 491 | C2×C42 | C2×SD32 | 1 | 1 | yes | characteristic |
| 492 | C2×C42 | #509 | 1 | 2 | yes | — |
| 493 | C2×C42 | #510 | 1 | 2 | yes | — |
| 494 | C2×C42 | C22×D8 | 1 | 1 | yes | characteristic |
| 495 | C2×C16 | — | 2 | 2 | no | — |
| 496 | C2×C16 | — | 2 | 2 | no | — |
| 497 | C2×C16 | — | 2 | 2 | no | — |
| 498 | C2×C16 | — | 2 | 2 | no | — |
| 499 | C2×C16 | — | 2 | 2 | no | — |
| 500 | C2×C16 | — | 2 | 4 | no | — |
| 501 | C2×C16 | — | 2 | 4 | no | — |
| 502 | C2×C16 | — | 2 | 4 | no | — |
| 503 | C2×C16 | — | 2 | 2 | no | — |
| 504 | C2×C16 | — | 2 | 2 | no | — |
| 505 | C2×C16 | — | 4 | 2 | no | — |
| 506 | C2×C16 | — | 4 | 2 | no | — |
| 507 | C2×C16 | — | 4 | 2 | no | — |
| 508 | C2×C16 | — | 4 | 2 | no | — |
| 509 | C2×C16 | — | 4 | 4 | no | — |
| 510 | C2×C16 | — | 8 | 2 | no | — |
| 511 | C2×C16 | — | 8 | 2 | no | — |
| 512 | C2×C16 | #385 | 1 | 2 | yes | — |
| 513 | C2×C16 | #385 | 1 | 2 | yes | — |
| 514 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 515 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 516 | C2×C16 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 517 | C2×C16 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 518 | C2×C16 | C2×#131 | 1 | 2 | yes | — |
| 519 | C2×C16 | #568 | 1 | 2 | yes | — |
| 520 | C4⋊C8 | — | 2 | 4 | no | — |
| 521 | C4⋊C8 | — | 2 | 4 | no | — |
| 522 | C4⋊C8 | — | 2 | 2 | no | — |
| 523 | C4⋊C8 | — | 2 | 2 | no | — |
| 524 | C4⋊C8 | — | 4 | 2 | no | — |
| 525 | C4⋊C8 | — | 4 | 4 | no | — |
| 526 | C4⋊C8 | — | 4 | 2 | no | — |
| 527 | C4⋊C8 | — | 8 | 8 | no | — |
| 528 | C4⋊C8 | — | 8 | 8 | no | — |
| 529 | C4⋊C8 | — | 8 | 2 | no | — |
| 530 | C4⋊C8 | — | 8 | 1 | no | — |
| 531 | C4⋊C8 | — | 8 | 2 | no | — |
| 532 | C4⋊C8 | — | 8 | 1 | no | — |
| 533 | C4⋊C8 | — | 8 | 2 | no | — |
| 534 | C4⋊C8 | — | 8 | 2 | no | — |
| 535 | C4⋊C8 | — | 8 | 4 | no | — |
| 536 | C4⋊C8 | — | 8 | 4 | no | — |
| 537 | C4⋊C8 | — | 8 | 2 | no | — |
| 538 | C4⋊C8 | — | 16 | 2 | no | — |
| 539 | C22⋊C8 | — | 2 | 4 | no | — |
| 540 | C22⋊C8 | — | 2 | 4 | no | — |
| 541 | C22⋊C8 | — | 2 | 4 | no | — |
| 542 | C22⋊C8 | — | 16 | 2 | no | — |
| 543 | C22⋊C8 | — | 32 | 4 | no | — |
| 544 | #97 | — | 16 | 2 | no | — |
| 545 | C4×C8 | — | 2 | 2 | no | — |
| 546 | C4×C8 | — | 2 | 2 | no | — |
| 547 | C4×C8 | — | 2 | 2 | no | — |
| 548 | C4×C8 | — | 2 | 2 | no | — |
| 549 | C4×C8 | — | 2 | 2 | no | — |
| 550 | C4×C8 | — | 2 | 2 | no | — |
| 551 | C4×C8 | #385 | 1 | 2 | yes | — |
| 552 | C4×C8 | #428 | 1 | 2 | yes | — |
| 553 | C4×C8 | #447 | 1 | 2 | yes | — |
| 554 | C4×C8 | #451 | 1 | 2 | yes | — |
| 555 | C4×C8 | #480 | 1 | 2 | yes | — |
| 556 | C4×C8 | #484 | 1 | 2 | yes | — |
| 557 | C4×C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 558 | C4×C8 | C2×#123 | 1 | 1 | yes | characteristic |
| 559 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 560 | C4×C8 | C2×#137 | 1 | 1 | yes | characteristic |
| 561 | C32 | — | 2 | 4 | no | — |
| 562 | C32 | — | 4 | 2 | no | — |
| 563 | C32 | — | 4 | 4 | no | — |
| 564 | C24 | C2×#367 | 1 | 2 | yes | — |
| 565 | C24 | C2×#367 | 1 | 1 | yes | characteristic |
| 566 | #41 | — | 2 | 16 | no | — |
| 567 | #41 | — | 2 | 16 | no | — |
| 568 | C2×Q8 | — | 2 | 4 | no | — |
| 569 | C2×Q8 | — | 2 | 2 | no | — |
| 570 | C2×D4 | — | 2 | 4 | no | — |
| 571 | C2×D4 | — | 2 | 4 | no | — |
| 572 | C2×D4 | — | 2 | 4 | no | — |
| 573 | C2×D4 | — | 2 | 2 | no | — |
| 574 | C2×D4 | #1426 | 1 | 8 | yes | — |
| 575 | C22×C4 | — | 2 | 4 | no | — |
| 576 | C22×C4 | — | 2 | 4 | no | — |
| 577 | C22×C4 | — | 2 | 4 | no | — |
| 578 | C22×C4 | — | 2 | 2 | no | — |
| 579 | C22×C4 | — | 2 | 2 | no | — |
| 580 | C22×C4 | — | 2 | 2 | no | — |
| 581 | C22×C4 | — | 2 | 2 | no | — |
| 582 | C22×C4 | — | 2 | 2 | no | — |
| 583 | C22×C4 | — | 2 | 2 | no | — |
| 584 | C22×C4 | — | 2 | 4 | no | — |
| 585 | C22×C4 | — | 2 | 4 | no | — |
| 586 | C22×C4 | — | 2 | 2 | no | — |
| 587 | C22×C4 | — | 2 | 2 | no | — |
| 588 | C22×C4 | — | 4 | 2 | no | — |
| 589 | C22×C4 | — | 4 | 4 | no | — |
| 590 | C22×C4 | #1852 | 1 | 2 | yes | — |
| 591 | C22×C4 | C2×#367 | 1 | 2 | yes | — |
| 592 | C22×C4 | C2×#367 | 1 | 2 | yes | — |
| 593 | C22×C4 | C2×#367 | 1 | 2 | yes | — |
| 594 | C22×C4 | C2×#367 | 1 | 1 | yes | characteristic |
| 595 | C22×C4 | C2×#367 | 1 | 1 | yes | characteristic |
| 596 | C22×C4 | C2×#367 | 1 | 1 | yes | characteristic |
| 597 | C22×C4 | #2159 | 1 | 2 | yes | — |
| 598 | C22×C4 | #2185 | 1 | 2 | yes | — |
| 599 | C22×C4 | #2187 | 1 | 2 | yes | — |
| 600 | C22×C4 | #2233 | 1 | 2 | yes | — |
| 601 | C22×C4 | #2235 | 1 | 2 | yes | — |
| 602 | C22×C4 | C22×#107 | 1 | 1 | yes | characteristic |
| 603 | C22×C4 | C22×SD32 | 1 | 1 | yes | characteristic |
| 604 | C22×C4 | C22×SD32 | 1 | 1 | yes | characteristic |
| 605 | M16 | — | 16 | 16 | no | — |
| 606 | M16 | — | 16 | 8 | no | — |
| 607 | C2×C8 | — | 2 | 2 | no | — |
| 608 | C2×C8 | — | 2 | 2 | no | — |
| 609 | C2×C8 | — | 2 | 2 | no | — |
| 610 | C2×C8 | — | 2 | 2 | no | — |
| 611 | C2×C8 | — | 2 | 2 | no | — |
| 612 | C2×C8 | — | 2 | 4 | no | — |
| 613 | C2×C8 | — | 2 | 2 | no | — |
| 614 | C2×C8 | — | 2 | 2 | no | — |
| 615 | C2×C8 | — | 2 | 4 | no | — |
| 616 | C2×C8 | — | 2 | 4 | no | — |
| 617 | C2×C8 | — | 4 | 2 | no | — |
| 618 | C2×C8 | — | 4 | 2 | no | — |
| 619 | C2×C8 | — | 4 | 2 | no | — |
| 620 | C2×C8 | — | 4 | 2 | no | — |
| 621 | C2×C8 | — | 4 | 4 | no | — |
| 622 | C2×C8 | — | 8 | 2 | no | — |
| 623 | C2×C8 | — | 8 | 2 | no | — |
| 624 | C2×C8 | — | 8 | 2 | no | — |
| 625 | C2×C8 | — | 8 | 4 | no | — |
| 626 | C2×C8 | — | 8 | 2 | no | — |
| 627 | C2×C8 | — | 16 | 2 | no | — |
| 628 | C2×C8 | — | 16 | 2 | no | — |
| 629 | C2×C8 | — | 16 | 2 | no | — |
| 630 | C2×C8 | — | 16 | 2 | no | — |
| 631 | C2×C8 | — | 16 | 16 | no | — |
| 632 | C2×C8 | — | 16 | 8 | no | — |
| 633 | C2×C8 | — | 16 | 2 | no | — |
| 634 | C2×C8 | — | 16 | 4 | no | — |
| 635 | C2×C8 | — | 16 | 2 | no | — |
| 636 | C2×C8 | — | 16 | 2 | no | — |
| 637 | C2×C8 | — | 16 | 2 | no | — |
| 638 | C2×C8 | — | 32 | 4 | no | — |
| 639 | C2×C8 | #1852 | 1 | 2 | yes | — |
| 640 | C2×C8 | #1852 | 1 | 2 | yes | — |
| 641 | C2×C8 | C2×#385 | 1 | 1 | yes | characteristic |
| 642 | C2×C8 | #2906 | 1 | 2 | yes | — |
| 643 | C2×C8 | C2×#428 | 1 | 1 | yes | characteristic |
| 644 | C2×C8 | #2916 | 1 | 2 | yes | — |
| 645 | C2×C8 | C2×#451 | 1 | 1 | yes | characteristic |
| 646 | C2×C8 | C2×#484 | 1 | 1 | yes | characteristic |
| 647 | C4⋊C4 | — | 2 | 4 | no | — |
| 648 | C4⋊C4 | — | 2 | 4 | no | — |
| 649 | C4⋊C4 | — | 2 | 2 | no | — |
| 650 | C4⋊C4 | — | 2 | 2 | no | — |
| 651 | C22⋊C4 | — | 2 | 4 | no | — |
| 652 | C22⋊C4 | — | 2 | 4 | no | — |
| 653 | C22⋊C4 | — | 2 | 4 | no | — |
| 654 | C42 | — | 2 | 2 | no | — |
| 655 | C42 | — | 2 | 2 | no | — |
| 656 | C42 | — | 2 | 2 | no | — |
| 657 | C42 | — | 2 | 2 | no | — |
| 658 | C42 | — | 2 | 2 | no | — |
| 659 | C42 | — | 2 | 2 | no | — |
| 660 | C42 | #1852 | 1 | 2 | yes | — |
| 661 | C42 | #2159 | 1 | 2 | yes | — |
| 662 | C42 | #2185 | 1 | 2 | yes | — |
| 663 | C42 | #2187 | 1 | 2 | yes | — |
| 664 | C42 | #2233 | 1 | 2 | yes | — |
| 665 | C42 | #2235 | 1 | 2 | yes | — |
| 666 | C42 | C2×#447 | 1 | 1 | yes | characteristic |
| 667 | C42 | C2×#480 | 1 | 1 | yes | characteristic |
| 668 | C42 | C2×#509 | 1 | 1 | yes | characteristic |
| 669 | C42 | C2×#510 | 1 | 1 | yes | characteristic |
| 670 | C16 | — | 2 | 2 | no | — |
| 671 | C16 | — | 2 | 1 | no | — |
| 672 | C16 | — | 2 | 1 | no | — |
| 673 | C16 | — | 2 | 2 | no | — |
| 674 | C16 | — | 4 | 2 | no | — |
| 675 | C16 | — | 4 | 2 | no | — |
| 676 | C16 | #2929 | 1 | 1 | yes | characteristic |
| 677 | C16 | #2930 | 1 | 1 | yes | characteristic |
| 678 | C16 | #2935 | 1 | 2 | yes | — |
| 679 | C23 | — | 2 | 2 | no | — |
| 680 | C23 | — | 2 | 2 | no | — |
| 681 | C23 | — | 2 | 4 | no | — |
| 682 | C23 | — | 2 | 2 | no | — |
| 683 | C23 | — | 2 | 2 | no | — |
| 684 | C23 | — | 2 | 4 | no | — |
| 685 | C23 | #12920 | 1 | 2 | yes | — |
| 686 | C23 | C2×#1426 | 1 | 4 | yes | — |
| 687 | C23 | C2×#1426 | 1 | 4 | yes | — |
| 688 | C23 | C22×#367 | 1 | 1 | yes | characteristic |
| 689 | Q8 | — | 2 | 8 | no | — |
| 690 | D4 | — | 2 | 8 | no | — |
| 691 | D4 | — | 2 | 16 | no | — |
| 692 | C2×C4 | — | 2 | 8 | no | — |
| 693 | C2×C4 | — | 2 | 8 | no | — |
| 694 | C2×C4 | — | 2 | 4 | no | — |
| 695 | C2×C4 | — | 2 | 4 | no | — |
| 696 | C2×C4 | — | 2 | 2 | no | — |
| 697 | C2×C4 | — | 2 | 2 | no | — |
| 698 | C2×C4 | — | 2 | 2 | no | — |
| 699 | C2×C4 | — | 2 | 2 | no | — |
| 700 | C2×C4 | — | 2 | 2 | no | — |
| 701 | C2×C4 | — | 2 | 2 | no | — |
| 702 | C2×C4 | — | 2 | 2 | no | — |
| 703 | C2×C4 | — | 2 | 4 | no | — |
| 704 | C2×C4 | — | 2 | 2 | no | — |
| 705 | C2×C4 | — | 2 | 2 | no | — |
| 706 | C2×C4 | — | 2 | 4 | no | — |
| 707 | C2×C4 | — | 2 | 2 | no | — |
| 708 | C2×C4 | — | 2 | 2 | no | — |
| 709 | C2×C4 | — | 2 | 4 | no | — |
| 710 | C2×C4 | — | 4 | 2 | no | — |
| 711 | C2×C4 | — | 4 | 2 | no | — |
| 712 | C2×C4 | — | 4 | 4 | no | — |
| 713 | C2×C4 | — | 4 | 2 | no | — |
| 714 | C2×C4 | — | 4 | 2 | no | — |
| 715 | C2×C4 | — | 8 | 2 | no | — |
| 716 | C2×C4 | — | 8 | 2 | no | — |
| 717 | C2×C4 | #12920 | 1 | 2 | yes | — |
| 718 | C2×C4 | #12920 | 1 | 2 | yes | — |
| 719 | C2×C4 | #12920 | 1 | 2 | yes | — |
| 720 | C2×C4 | C2×#1426 | 1 | 4 | yes | — |
| 721 | C2×C4 | #17828 | 1 | 2 | yes | — |
| 722 | C2×C4 | C2×#1852 | 1 | 1 | yes | characteristic |
| 723 | C2×C4 | C2×#2159 | 1 | 1 | yes | characteristic |
| 724 | C2×C4 | #33414 | 1 | 2 | yes | — |
| 725 | C2×C4 | C2×#2187 | 1 | 1 | yes | characteristic |
| 726 | C2×C4 | C2×#2185 | 1 | 1 | yes | characteristic |
| 727 | C2×C4 | C2×#2235 | 1 | 1 | yes | characteristic |
| 728 | C2×C4 | C2×#2233 | 1 | 1 | yes | characteristic |
| 729 | C8 | — | 2 | 1 | no | — |
| 730 | C8 | — | 2 | 1 | no | — |
| 731 | C8 | — | 2 | 2 | no | — |
| 732 | C8 | — | 2 | 2 | no | — |
| 733 | C8 | — | 4 | 2 | no | — |
| 734 | C8 | — | 4 | 2 | no | — |
| 735 | C8 | — | 16 | 2 | no | — |
| 736 | C8 | — | 16 | 4 | no | — |
| 737 | C8 | — | 16 | 2 | no | — |
| 738 | C8 | — | 32 | 2 | no | — |
| 739 | C8 | — | 32 | 2 | no | — |
| 740 | C8 | #17832 | 1 | 2 | yes | — |
| 741 | C8 | #20838 | 1 | 1 | yes | characteristic |
| 742 | C8 | #20852 | 1 | 1 | yes | characteristic |
| 743 | C22 | — | 2 | 2 | no | — |
| 744 | C22 | — | 2 | 2 | no | — |
| 745 | C22 | — | 2 | 8 | no | — |
| 746 | C22 | — | 2 | 8 | no | — |
| 747 | C22 | — | 2 | 4 | no | — |
| 748 | C22 | — | 4 | 2 | no | — |
| 749 | C22 | — | 4 | 2 | no | — |
| 750 | C22 | — | 4 | 4 | no | — |
| 751 | C22 | #152427 | 1 | 4 | yes | — |
| 752 | C22 | #483470 | 1 | 2 | yes | — |
| 753 | C22 | C2×#12920 | 1 | 1 | yes | characteristic |
| 754 | C22 | C22×#1426 | 1 | 2 | yes | — |
| 755 | C22 | #512724 | 1 | 2 | yes | — |
| 756 | C4 | — | 2 | 2 | no | — |
| 757 | C4 | — | 2 | 1 | no | — |
| 758 | C4 | — | 2 | 1 | no | — |
| 759 | C4 | — | 2 | 2 | no | — |
| 760 | C4 | — | 2 | 1 | no | — |
| 761 | C4 | — | 2 | 1 | no | — |
| 762 | C4 | — | 2 | 4 | no | — |
| 763 | C4 | — | 2 | 2 | no | — |
| 764 | C4 | — | 4 | 2 | no | — |
| 765 | C4 | — | 4 | 2 | no | — |
| 766 | C4 | #191718 | 1 | 1 | yes | characteristic |
| 767 | C4 | #483478 | 1 | 2 | yes | — |
| 768 | C4 | #494246 | 1 | 1 | yes | characteristic |
| 769 | C2 | — | 2 | 4 | no | — |
| 770 | C2 | — | 4 | 4 | no | — |
| 771 | C2 | #72234330 | 1 | 4 | yes | — |
| 772 | C2 | C2×#152427 | 1 | 1 | yes | characteristic |
| 773 | C2 | #72323099 | 1 | 1 | yes | characteristic |
| 774 | C2 | #72323101 | 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