← #72216556
Subgroups — #72216556
Order 4096.
1463 conjugacy classes of subgroups.
The subgroup lattice has 900 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72216544 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72216539 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72216537 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #72216535 | C4 | 1 | 1 | yes | characteristic |
| 5 | #72216534 | C4 | 1 | 1 | yes | characteristic |
| 6 | C2×#93752 | C4 | 1 | 1 | yes | characteristic |
| 7 | C2×#93751 | C4 | 1 | 1 | yes | characteristic |
| 8 | #72216530 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #72216527 | C4 | 1 | 2 | yes | — |
| 10 | C2×#93759 | C4 | 1 | 2 | yes | — |
| 11 | #72216255 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #72216250 | — | 2 | 1 | no | — |
| 13 | #72216248 | — | 2 | 1 | no | — |
| 14 | #72216247 | C22 | 1 | 1 | yes | characteristic |
| 15 | #72216243 | C22 | 1 | 1 | yes | characteristic |
| 16 | #72216240 | C2 | 1 | 1 | yes | maximal, characteristic |
| 17 | #72216234 | — | 2 | 1 | no | — |
| 18 | #72216233 | — | 2 | 1 | no | — |
| 19 | #72216232 | — | 2 | 1 | no | — |
| 20 | #72216228 | — | 2 | 1 | no | — |
| 21 | #72216227 | C4 | 1 | 1 | yes | characteristic |
| 22 | #72216225 | C4 | 1 | 1 | yes | characteristic |
| 23 | #72216223 | C4 | 1 | 1 | yes | characteristic |
| 24 | #72216219 | C4 | 1 | 1 | yes | characteristic |
| 25 | #72216215 | C22 | 1 | 1 | yes | characteristic |
| 26 | #72216211 | C22 | 1 | 1 | yes | characteristic |
| 27 | #72216186 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 28 | #72216182 | C22 | 1 | 1 | yes | characteristic |
| 29 | #72216178 | — | 2 | 1 | no | — |
| 30 | #72216178 | C22 | 1 | 1 | yes | characteristic |
| 31 | #72216161 | — | 2 | 1 | no | — |
| 32 | #72216161 | C22 | 1 | 1 | yes | characteristic |
| 33 | #493242 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | #493217 | — | 2 | 1 | no | — |
| 35 | #493216 | — | 2 | 1 | no | — |
| 36 | C2×#12068 | — | 2 | 1 | no | — |
| 37 | #483589 | — | 2 | 1 | no | — |
| 38 | C2×#12047 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C2×#12046 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | #479908 | — | 4 | 1 | no | — |
| 41 | #184013 | — | 2 | 1 | no | — |
| 42 | #151981 | — | 2 | 1 | no | — |
| 43 | #151981 | — | 2 | 1 | no | — |
| 44 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | C2×#7456 | C2×C4 | 1 | 2 | yes | — |
| 47 | C2×#7333 | — | 4 | 1 | no | — |
| 48 | #129166 | — | 2 | 1 | no | — |
| 49 | #129164 | — | 2 | 1 | no | — |
| 50 | #129143 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | #129142 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | #129101 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | #129090 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | #129088 | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | #129063 | — | 2 | 1 | no | — |
| 56 | #129055 | — | 2 | 1 | no | — |
| 57 | #129051 | — | 2 | 1 | no | — |
| 58 | #128694 | — | 2 | 2 | no | — |
| 59 | #128690 | — | 2 | 2 | no | — |
| 60 | #128674 | — | 2 | 1 | no | — |
| 61 | #128673 | — | 2 | 1 | no | — |
| 62 | #128537 | — | 2 | 1 | no | — |
| 63 | C4×#1336 | — | 2 | 1 | no | — |
| 64 | C4×#1335 | — | 2 | 1 | no | — |
| 65 | #128270 | — | 4 | 1 | no | — |
| 66 | #128262 | — | 4 | 1 | no | — |
| 67 | #128258 | — | 4 | 1 | no | — |
| 68 | C4×#1313 | — | 2 | 4 | no | — |
| 69 | C4×#1313 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C4×#1313 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C4×#1313 | D4 | 1 | 1 | yes | characteristic |
| 72 | C4×#1313 | D4 | 1 | 1 | yes | characteristic |
| 73 | #126522 | — | 2 | 1 | no | — |
| 74 | #126522 | D4 | 1 | 1 | yes | characteristic |
| 75 | C8×#346 | — | 2 | 1 | no | — |
| 76 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×#7053 | — | 2 | 4 | no | — |
| 78 | C2×#7053 | — | 2 | 1 | no | — |
| 79 | C2×#7053 | C2×C4 | 1 | 2 | yes | — |
| 80 | C2×#7052 | — | 2 | 1 | no | — |
| 81 | C2×#7052 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | C2×C162 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | #94857 | D4 | 1 | 1 | yes | characteristic |
| 84 | #94019 | — | 2 | 1 | no | — |
| 85 | #94018 | — | 2 | 1 | no | — |
| 86 | #93997 | — | 4 | 1 | no | — |
| 87 | #93759 | — | 2 | 4 | no | — |
| 88 | #93752 | C8 | 1 | 4 | yes | complemented |
| 89 | #93751 | C8 | 1 | 4 | yes | complemented |
| 90 | #93273 | — | 2 | 1 | no | — |
| 91 | #93266 | — | 2 | 1 | no | — |
| 92 | #93264 | — | 2 | 1 | no | — |
| 93 | C2×#2179 | M16 | 1 | 1 | yes | characteristic |
| 94 | C2×#2178 | C42 | 1 | 1 | yes | characteristic |
| 95 | #33451 | M16 | 1 | 1 | yes | characteristic |
| 96 | C2×#2171 | — | 2 | 2 | no | — |
| 97 | C2×#2170 | — | 2 | 1 | no | — |
| 98 | C2×#2170 | — | 2 | 1 | no | — |
| 99 | #33326 | — | 4 | 1 | no | — |
| 100 | #33326 | — | 4 | 1 | no | — |
| 101 | C4×#443 | — | 2 | 1 | no | — |
| 102 | #17849 | — | 2 | 2 | no | — |
| 103 | #17316 | — | 4 | 1 | no | — |
| 104 | C2×#1422 | — | 2 | 1 | no | — |
| 105 | C2×#1422 | — | 2 | 1 | no | — |
| 106 | C2×#1422 | — | 2 | 2 | no | — |
| 107 | C2×#1398 | — | 4 | 1 | no | — |
| 108 | C2×#1398 | — | 4 | 1 | no | — |
| 109 | #12676 | M16 | 1 | 1 | yes | characteristic |
| 110 | #12671 | M16 | 1 | 1 | yes | characteristic |
| 111 | #12670 | C42 | 1 | 1 | yes | characteristic |
| 112 | #12665 | — | 2 | 2 | no | — |
| 113 | #12664 | — | 2 | 1 | no | — |
| 114 | #12664 | — | 2 | 1 | no | — |
| 115 | C4×#364 | — | 2 | 1 | no | — |
| 116 | C4×#364 | — | 2 | 1 | no | — |
| 117 | #12642 | — | 2 | 1 | no | — |
| 118 | #12641 | — | 2 | 1 | no | — |
| 119 | #12640 | — | 2 | 1 | no | — |
| 120 | #12615 | — | 4 | 1 | no | — |
| 121 | #12615 | — | 4 | 1 | no | — |
| 122 | #12614 | — | 4 | 2 | no | — |
| 123 | #12604 | — | 4 | 1 | no | — |
| 124 | #12604 | — | 4 | 1 | no | — |
| 125 | C4×#346 | — | 2 | 2 | no | — |
| 126 | C4×#346 | — | 2 | 2 | no | — |
| 127 | C4×#346 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 128 | C4×#346 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 129 | C4×#346 | C22×C4 | 1 | 1 | yes | characteristic |
| 130 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | #12068 | — | 4 | 2 | no | — |
| 132 | #12068 | — | 4 | 2 | no | — |
| 133 | #12067 | — | 4 | 1 | no | — |
| 134 | #12066 | — | 4 | 1 | no | — |
| 135 | #12065 | — | 4 | 2 | no | — |
| 136 | #12047 | — | 2 | 2 | no | — |
| 137 | #12047 | M16 | 1 | 4 | yes | — |
| 138 | #12046 | — | 2 | 1 | no | — |
| 139 | #12046 | — | 2 | 1 | no | — |
| 140 | #12046 | C2×C8 | 1 | 2 | yes | — |
| 141 | #12046 | C2×C8 | 1 | 2 | yes | — |
| 142 | C2×#1373 | C42 | 1 | 1 | yes | characteristic |
| 143 | C2×#1373 | C42 | 1 | 1 | yes | characteristic |
| 144 | C2×#1369 | — | 2 | 1 | no | — |
| 145 | #11999 | — | 2 | 1 | no | — |
| 146 | C2×#1336 | — | 2 | 2 | no | — |
| 147 | C2×#1335 | — | 2 | 1 | no | — |
| 148 | C2×#1335 | — | 2 | 1 | no | — |
| 149 | #11597 | — | 2 | 2 | no | — |
| 150 | #11406 | — | 4 | 1 | no | — |
| 151 | #11406 | — | 8 | 1 | no | — |
| 152 | #11405 | — | 4 | 1 | no | — |
| 153 | #11405 | — | 8 | 1 | no | — |
| 154 | #11404 | — | 4 | 1 | no | — |
| 155 | #11404 | — | 8 | 1 | no | — |
| 156 | C2×#1313 | — | 2 | 1 | no | — |
| 157 | C2×#1313 | — | 2 | 1 | no | — |
| 158 | C2×#1313 | — | 2 | 1 | no | — |
| 159 | C2×#1313 | — | 2 | 1 | no | — |
| 160 | C2×#1313 | — | 2 | 1 | no | — |
| 161 | C2×#1313 | — | 2 | 1 | no | — |
| 162 | C2×#1313 | — | 2 | 1 | no | — |
| 163 | C2×#1313 | — | 2 | 1 | no | — |
| 164 | C2×#1313 | — | 4 | 8 | no | — |
| 165 | C2×#1313 | — | 8 | 1 | no | — |
| 166 | C2×#1312 | — | 2 | 2 | no | — |
| 167 | C2×#1312 | — | 2 | 2 | no | — |
| 168 | C2×#1312 | — | 2 | 2 | no | — |
| 169 | C2×#1311 | — | 2 | 2 | no | — |
| 170 | C2×#1311 | C22×C4 | 1 | 1 | yes | characteristic |
| 171 | C2×#1311 | #41 | 1 | 1 | yes | characteristic |
| 172 | C2×C8×C16 | — | 2 | 1 | no | — |
| 173 | C2×C8×C16 | — | 2 | 1 | no | — |
| 174 | C2×C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 175 | C2×C8×C16 | #41 | 1 | 1 | yes | characteristic |
| 176 | #8294 | — | 2 | 2 | no | — |
| 177 | #8266 | — | 2 | 1 | no | — |
| 178 | C8×#104 | — | 4 | 2 | no | — |
| 179 | #8185 | — | 4 | 1 | no | — |
| 180 | C4×#322 | — | 2 | 2 | no | — |
| 181 | C4×#322 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 182 | C4×#322 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 183 | C4×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | #7468 | — | 4 | 1 | no | — |
| 185 | #7468 | — | 4 | 1 | no | — |
| 186 | #7459 | — | 2 | 1 | no | — |
| 187 | #7459 | — | 2 | 1 | no | — |
| 188 | #7459 | C2×C8 | 1 | 2 | yes | complemented |
| 189 | #7459 | C2×C8 | 1 | 2 | yes | complemented |
| 190 | #7456 | — | 2 | 2 | no | — |
| 191 | #7456 | — | 2 | 2 | no | — |
| 192 | #7333 | — | 8 | 2 | no | — |
| 193 | #7182 | — | 2 | 2 | no | — |
| 194 | #7179 | — | 2 | 1 | no | — |
| 195 | #7179 | — | 2 | 1 | no | — |
| 196 | #7177 | — | 2 | 2 | no | — |
| 197 | #7161 | M16 | 1 | 2 | yes | — |
| 198 | #7160 | — | 2 | 1 | no | — |
| 199 | #7157 | M16 | 1 | 2 | yes | — |
| 200 | #7140 | — | 4 | 1 | no | — |
| 201 | #7140 | — | 4 | 1 | no | — |
| 202 | #7139 | — | 4 | 1 | no | — |
| 203 | #7053 | — | 2 | 2 | no | — |
| 204 | #7053 | — | 2 | 2 | no | — |
| 205 | #7053 | — | 4 | 8 | no | — |
| 206 | #7053 | — | 4 | 1 | no | — |
| 207 | #7053 | — | 4 | 1 | no | — |
| 208 | #7052 | — | 2 | 4 | no | — |
| 209 | #7052 | — | 2 | 1 | no | — |
| 210 | #7052 | C2×C8 | 1 | 2 | yes | complemented |
| 211 | C162 | — | 2 | 1 | no | — |
| 212 | C162 | C2×C8 | 1 | 2 | yes | complemented |
| 213 | C2×#508 | #97 | 1 | 1 | yes | characteristic |
| 214 | C2×#504 | — | 4 | 2 | no | — |
| 215 | C2×#504 | — | 4 | 1 | no | — |
| 216 | C2×#504 | — | 4 | 1 | no | — |
| 217 | C8×#41 | — | 4 | 2 | no | — |
| 218 | C2×#443 | — | 2 | 1 | no | — |
| 219 | C2×#443 | — | 2 | 1 | no | — |
| 220 | C4×#135 | — | 2 | 1 | no | — |
| 221 | C4×#131 | — | 4 | 1 | no | — |
| 222 | C2×M64 | — | 4 | 1 | no | — |
| 223 | C2×M64 | — | 4 | 1 | no | — |
| 224 | C2×M64 | — | 4 | 2 | no | — |
| 225 | #2179 | — | 2 | 2 | no | — |
| 226 | #2179 | — | 2 | 2 | no | — |
| 227 | #2178 | — | 2 | 1 | no | — |
| 228 | #2178 | — | 2 | 1 | no | — |
| 229 | #2178 | C4×C8 | 1 | 2 | yes | — |
| 230 | #2178 | #97 | 1 | 2 | yes | — |
| 231 | #2177 | — | 2 | 1 | no | — |
| 232 | #2176 | — | 2 | 1 | no | — |
| 233 | #2175 | — | 2 | 2 | no | — |
| 234 | #2171 | — | 4 | 4 | no | — |
| 235 | #2171 | — | 8 | 2 | no | — |
| 236 | #2170 | — | 2 | 2 | no | — |
| 237 | #2170 | — | 2 | 2 | no | — |
| 238 | #2170 | — | 2 | 4 | no | — |
| 239 | #2170 | — | 4 | 2 | no | — |
| 240 | #2170 | — | 4 | 1 | no | — |
| 241 | #2170 | — | 4 | 1 | no | — |
| 242 | C2×#368 | #97 | 1 | 1 | yes | characteristic |
| 243 | C2×#368 | #97 | 1 | 1 | yes | characteristic |
| 244 | #2158 | #97 | 1 | 1 | yes | characteristic |
| 245 | C2×#364 | — | 2 | 1 | no | — |
| 246 | C2×#364 | — | 2 | 1 | no | — |
| 247 | C2×#364 | — | 2 | 2 | no | — |
| 248 | C2×#359 | — | 2 | 1 | no | — |
| 249 | C2×#359 | — | 2 | 1 | no | — |
| 250 | #2138 | — | 2 | 1 | no | — |
| 251 | C2×#350 | — | 4 | 1 | no | — |
| 252 | C2×#350 | — | 4 | 1 | no | — |
| 253 | C2×#350 | — | 4 | 2 | no | — |
| 254 | #2108 | — | 4 | 2 | no | — |
| 255 | #2108 | — | 4 | 1 | no | — |
| 256 | #2108 | — | 4 | 1 | no | — |
| 257 | #2108 | — | 8 | 1 | no | — |
| 258 | #2108 | — | 8 | 1 | no | — |
| 259 | #2108 | — | 8 | 2 | no | — |
| 260 | C4×M32 | — | 4 | 1 | no | — |
| 261 | C4×M32 | — | 4 | 1 | no | — |
| 262 | C4×M32 | — | 8 | 1 | no | — |
| 263 | C4×M32 | — | 8 | 1 | no | — |
| 264 | C2×#346 | — | 2 | 8 | no | — |
| 265 | C2×#346 | — | 2 | 1 | no | — |
| 266 | C2×#346 | — | 2 | 1 | no | — |
| 267 | C2×#346 | — | 2 | 1 | no | — |
| 268 | C2×#346 | — | 2 | 1 | no | — |
| 269 | C2×#346 | — | 4 | 4 | no | — |
| 270 | C2×#346 | — | 8 | 1 | no | — |
| 271 | C2×#346 | — | 8 | 1 | no | — |
| 272 | C2×#346 | C2×M16 | 1 | 1 | yes | characteristic |
| 273 | C2×#346 | C2×M16 | 1 | 1 | yes | characteristic |
| 274 | C2×#346 | C2×M16 | 1 | 1 | yes | characteristic |
| 275 | C2×#346 | C2×M16 | 1 | 1 | yes | characteristic |
| 276 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 277 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 278 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 279 | C2×#346 | #137 | 1 | 1 | yes | characteristic |
| 280 | C2×C4×C16 | — | 2 | 2 | no | — |
| 281 | C2×C4×C16 | — | 2 | 2 | no | — |
| 282 | C2×C4×C16 | — | 2 | 4 | no | — |
| 283 | C2×C4×C16 | — | 2 | 1 | no | — |
| 284 | C2×C4×C16 | #104 | 1 | 2 | yes | — |
| 285 | C2×C4×C16 | C2×C42 | 1 | 1 | yes | characteristic |
| 286 | C2×C4×C16 | #117 | 1 | 1 | yes | characteristic |
| 287 | C2×C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 289 | C4×#108 | — | 2 | 1 | no | — |
| 290 | #1772 | — | 2 | 1 | no | — |
| 291 | #1772 | — | 2 | 1 | no | — |
| 292 | #1764 | — | 4 | 1 | no | — |
| 293 | #1764 | — | 4 | 1 | no | — |
| 294 | C4×#104 | — | 4 | 1 | no | — |
| 295 | C42×C8 | — | 2 | 1 | no | — |
| 296 | C42×C8 | — | 2 | 1 | no | — |
| 297 | C42×C8 | #104 | 1 | 2 | yes | — |
| 298 | C42×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 299 | #1580 | — | 4 | 2 | no | — |
| 300 | #1579 | — | 4 | 2 | no | — |
| 301 | SD16⋊C8 | — | 8 | 2 | no | — |
| 302 | #1564 | — | 2 | 2 | no | — |
| 303 | #1476 | — | 4 | 2 | no | — |
| 304 | #1450 | — | 4 | 1 | no | — |
| 305 | #1450 | — | 8 | 1 | no | — |
| 306 | C8×M16 | — | 4 | 2 | no | — |
| 307 | C8×M16 | — | 8 | 2 | no | — |
| 308 | C2×#322 | — | 2 | 1 | no | — |
| 309 | C2×#322 | — | 2 | 1 | no | — |
| 310 | C2×#322 | — | 2 | 1 | no | — |
| 311 | C2×#322 | — | 2 | 1 | no | — |
| 312 | C2×#322 | — | 4 | 4 | no | — |
| 313 | C2×#322 | — | 8 | 1 | no | — |
| 314 | C2×C82 | — | 2 | 1 | no | — |
| 315 | C2×C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 317 | #1422 | — | 2 | 2 | no | — |
| 318 | #1422 | — | 2 | 2 | no | — |
| 319 | #1422 | — | 4 | 2 | no | — |
| 320 | #1422 | — | 4 | 2 | no | — |
| 321 | #1422 | — | 4 | 1 | no | — |
| 322 | #1422 | — | 4 | 1 | no | — |
| 323 | #1398 | — | 8 | 1 | no | — |
| 324 | #1398 | — | 8 | 1 | no | — |
| 325 | #1398 | — | 8 | 1 | no | — |
| 326 | #1398 | — | 8 | 1 | no | — |
| 327 | #1382 | — | 2 | 1 | no | — |
| 328 | #1382 | — | 2 | 1 | no | — |
| 329 | #1381 | — | 2 | 1 | no | — |
| 330 | #1379 | — | 4 | 2 | no | — |
| 331 | #1379 | — | 4 | 1 | no | — |
| 332 | #1379 | — | 4 | 1 | no | — |
| 333 | #1376 | — | 4 | 1 | no | — |
| 334 | #1376 | — | 4 | 1 | no | — |
| 335 | #1373 | — | 2 | 1 | no | — |
| 336 | #1373 | — | 2 | 1 | no | — |
| 337 | #1373 | C4×C8 | 1 | 2 | yes | — |
| 338 | #1373 | #97 | 1 | 2 | yes | — |
| 339 | #1369 | — | 4 | 1 | no | — |
| 340 | #1369 | — | 4 | 1 | no | — |
| 341 | #1368 | — | 4 | 1 | no | — |
| 342 | #1368 | — | 4 | 1 | no | — |
| 343 | #1336 | — | 4 | 4 | no | — |
| 344 | #1335 | — | 2 | 2 | no | — |
| 345 | #1335 | — | 2 | 2 | no | — |
| 346 | #1335 | — | 2 | 4 | no | — |
| 347 | #1334 | — | 4 | 2 | no | — |
| 348 | #1333 | — | 4 | 2 | no | — |
| 349 | #1313 | — | 4 | 1 | no | — |
| 350 | #1313 | — | 4 | 1 | no | — |
| 351 | #1313 | — | 4 | 1 | no | — |
| 352 | #1313 | — | 4 | 1 | no | — |
| 353 | #1313 | — | 4 | 1 | no | — |
| 354 | #1313 | — | 4 | 1 | no | — |
| 355 | #1313 | — | 4 | 1 | no | — |
| 356 | #1313 | — | 4 | 1 | no | — |
| 357 | #1313 | — | 8 | 1 | no | — |
| 358 | #1313 | — | 8 | 1 | no | — |
| 359 | #1313 | — | 8 | 1 | no | — |
| 360 | #1313 | — | 8 | 1 | no | — |
| 361 | #1313 | — | 8 | 1 | no | — |
| 362 | #1313 | — | 8 | 1 | no | — |
| 363 | #1313 | — | 8 | 1 | no | — |
| 364 | #1313 | — | 8 | 1 | no | — |
| 365 | #1313 | — | 8 | 16 | no | — |
| 366 | #1313 | — | 8 | 1 | no | — |
| 367 | #1313 | — | 8 | 1 | no | — |
| 368 | #1312 | — | 4 | 4 | no | — |
| 369 | #1312 | — | 4 | 4 | no | — |
| 370 | #1312 | — | 4 | 2 | no | — |
| 371 | #1312 | — | 4 | 2 | no | — |
| 372 | #1311 | — | 2 | 8 | no | — |
| 373 | #1311 | — | 2 | 1 | no | — |
| 374 | #1311 | — | 2 | 1 | no | — |
| 375 | #1311 | C2×M16 | 1 | 2 | yes | — |
| 376 | #1311 | #131 | 1 | 2 | yes | — |
| 377 | C8×C16 | — | 2 | 2 | no | — |
| 378 | C8×C16 | — | 2 | 2 | no | — |
| 379 | C8×C16 | — | 2 | 2 | no | — |
| 380 | C8×C16 | — | 2 | 2 | no | — |
| 381 | C8×C16 | — | 2 | 2 | no | — |
| 382 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 383 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 384 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 385 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 386 | #1278 | — | 4 | 2 | no | — |
| 387 | #1276 | — | 4 | 1 | no | — |
| 388 | C2×#135 | — | 2 | 1 | no | — |
| 389 | C2×#131 | — | 4 | 1 | no | — |
| 390 | C2×#131 | — | 4 | 1 | no | — |
| 391 | C4×#41 | — | 4 | 1 | no | — |
| 392 | #508 | — | 2 | 1 | no | — |
| 393 | #508 | — | 2 | 1 | no | — |
| 394 | #508 | #322 | 1 | 2 | yes | — |
| 395 | #508 | #347 | 1 | 2 | yes | — |
| 396 | C2×Q32 | #347 | 1 | 1 | yes | characteristic |
| 397 | C2×SD32 | — | 2 | 1 | no | — |
| 398 | C2×D16 | #347 | 1 | 1 | yes | characteristic |
| 399 | #504 | — | 4 | 2 | no | — |
| 400 | #504 | — | 4 | 2 | no | — |
| 401 | #504 | — | 4 | 4 | no | — |
| 402 | #504 | — | 8 | 2 | no | — |
| 403 | #504 | — | 8 | 4 | no | — |
| 404 | #504 | — | 8 | 1 | no | — |
| 405 | #504 | — | 8 | 1 | no | — |
| 406 | #504 | — | 16 | 2 | no | — |
| 407 | C2×M32 | — | 4 | 1 | no | — |
| 408 | C2×M32 | — | 4 | 1 | no | — |
| 409 | C2×M32 | — | 4 | 2 | no | — |
| 410 | C2×M32 | — | 8 | 1 | no | — |
| 411 | C2×M32 | — | 8 | 2 | no | — |
| 412 | C2×M32 | — | 8 | 1 | no | — |
| 413 | C22×C16 | — | 2 | 4 | no | — |
| 414 | C22×C16 | — | 2 | 4 | no | — |
| 415 | C22×C16 | — | 2 | 2 | no | — |
| 416 | C22×C16 | — | 4 | 4 | no | — |
| 417 | C22×C16 | — | 4 | 1 | no | — |
| 418 | C22×C16 | — | 8 | 1 | no | — |
| 419 | C22×C16 | — | 8 | 2 | no | — |
| 420 | C22×C16 | — | 8 | 1 | no | — |
| 421 | C22×C16 | C2×#97 | 1 | 1 | yes | characteristic |
| 422 | C22×C16 | C4×M16 | 1 | 1 | yes | characteristic |
| 423 | C22×C16 | #432 | 1 | 1 | yes | characteristic |
| 424 | C22×C16 | #432 | 1 | 1 | yes | characteristic |
| 425 | C22×C16 | #440 | 1 | 1 | yes | characteristic |
| 426 | C22×C16 | #440 | 1 | 1 | yes | characteristic |
| 427 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 428 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 429 | C8×Q8 | — | 8 | 2 | no | — |
| 430 | #443 | — | 2 | 4 | no | — |
| 431 | #443 | — | 2 | 2 | no | — |
| 432 | #443 | — | 2 | 2 | no | — |
| 433 | #443 | — | 4 | 2 | no | — |
| 434 | #443 | — | 4 | 1 | no | — |
| 435 | #443 | — | 4 | 1 | no | — |
| 436 | C4×Q16 | — | 2 | 2 | no | — |
| 437 | C4×SD16 | — | 4 | 2 | no | — |
| 438 | C4×D8 | — | 2 | 2 | no | — |
| 439 | C8×D4 | — | 8 | 2 | no | — |
| 440 | C8×D4 | — | 16 | 2 | no | — |
| 441 | #431 | — | 4 | 2 | no | — |
| 442 | #431 | — | 8 | 2 | no | — |
| 443 | C2×#108 | — | 2 | 1 | no | — |
| 444 | C2×#108 | — | 2 | 1 | no | — |
| 445 | #427 | — | 2 | 1 | no | — |
| 446 | C2×#104 | — | 4 | 1 | no | — |
| 447 | C2×#104 | — | 4 | 1 | no | — |
| 448 | #416 | — | 4 | 1 | no | — |
| 449 | #405 | — | 4 | 1 | no | — |
| 450 | #405 | — | 4 | 1 | no | — |
| 451 | #405 | — | 8 | 1 | no | — |
| 452 | #405 | — | 8 | 1 | no | — |
| 453 | C4×M16 | — | 4 | 1 | no | — |
| 454 | C4×M16 | — | 8 | 1 | no | — |
| 455 | C2×C4×C8 | — | 2 | 1 | no | — |
| 456 | C2×C4×C8 | — | 2 | 1 | no | — |
| 457 | C2×C4×C8 | — | 2 | 4 | no | — |
| 458 | C2×C4×C8 | — | 2 | 2 | no | — |
| 459 | C2×C4×C8 | — | 4 | 2 | no | — |
| 460 | C2×C4×C8 | — | 4 | 2 | no | — |
| 461 | C2×C4×C8 | — | 4 | 1 | no | — |
| 462 | C2×C4×C8 | — | 8 | 1 | no | — |
| 463 | C2×C4×C8 | — | 8 | 2 | no | — |
| 464 | C2×C4×C8 | C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 465 | C2×C4×C8 | #407 | 1 | 1 | yes | characteristic |
| 466 | C2×C4×C8 | #407 | 1 | 1 | yes | characteristic |
| 467 | C2×C4×C8 | #417 | 1 | 1 | yes | characteristic |
| 468 | C2×C4×C8 | #418 | 1 | 1 | yes | characteristic |
| 469 | C2×C4×C8 | C2×#104 | 1 | 1 | yes | characteristic |
| 470 | C43 | C2×#104 | 1 | 1 | yes | characteristic |
| 471 | M64 | — | 4 | 2 | no | — |
| 472 | M64 | — | 4 | 2 | no | — |
| 473 | M64 | — | 8 | 1 | no | — |
| 474 | M64 | — | 8 | 1 | no | — |
| 475 | M64 | — | 8 | 2 | no | — |
| 476 | M64 | — | 8 | 2 | no | — |
| 477 | C2×C32 | — | 8 | 1 | no | — |
| 478 | C2×C32 | — | 8 | 1 | no | — |
| 479 | C2×C32 | — | 8 | 2 | no | — |
| 480 | #368 | — | 2 | 1 | no | — |
| 481 | #368 | — | 2 | 1 | no | — |
| 482 | #368 | #322 | 1 | 2 | yes | — |
| 483 | #368 | #347 | 1 | 2 | yes | — |
| 484 | #367 | — | 2 | 1 | no | — |
| 485 | #366 | #347 | 1 | 2 | yes | — |
| 486 | #364 | — | 2 | 2 | no | — |
| 487 | #364 | — | 2 | 2 | no | — |
| 488 | #364 | — | 4 | 2 | no | — |
| 489 | #364 | — | 4 | 2 | no | — |
| 490 | #364 | — | 4 | 1 | no | — |
| 491 | #364 | — | 4 | 1 | no | — |
| 492 | #359 | — | 2 | 4 | no | — |
| 493 | #359 | — | 2 | 2 | no | — |
| 494 | #359 | — | 2 | 2 | no | — |
| 495 | #358 | — | 2 | 2 | no | — |
| 496 | #357 | — | 2 | 2 | no | — |
| 497 | #350 | — | 4 | 2 | no | — |
| 498 | #350 | — | 4 | 2 | no | — |
| 499 | #350 | — | 4 | 4 | no | — |
| 500 | #350 | — | 8 | 4 | no | — |
| 501 | #346 | — | 2 | 1 | no | — |
| 502 | #346 | — | 2 | 1 | no | — |
| 503 | #346 | — | 2 | 1 | no | — |
| 504 | #346 | — | 2 | 1 | no | — |
| 505 | #346 | — | 2 | 1 | no | — |
| 506 | #346 | — | 2 | 1 | no | — |
| 507 | #346 | — | 2 | 1 | no | — |
| 508 | #346 | — | 2 | 1 | no | — |
| 509 | #346 | — | 4 | 1 | no | — |
| 510 | #346 | — | 4 | 1 | no | — |
| 511 | #346 | — | 4 | 1 | no | — |
| 512 | #346 | — | 4 | 1 | no | — |
| 513 | #346 | — | 4 | 1 | no | — |
| 514 | #346 | — | 4 | 1 | no | — |
| 515 | #346 | — | 4 | 1 | no | — |
| 516 | #346 | — | 4 | 1 | no | — |
| 517 | #346 | — | 4 | 1 | no | — |
| 518 | #346 | — | 4 | 1 | no | — |
| 519 | #346 | — | 4 | 1 | no | — |
| 520 | #346 | — | 4 | 1 | no | — |
| 521 | #346 | — | 4 | 16 | no | — |
| 522 | #346 | — | 8 | 1 | no | — |
| 523 | #346 | — | 8 | 1 | no | — |
| 524 | #346 | — | 8 | 8 | no | — |
| 525 | #346 | — | 8 | 1 | no | — |
| 526 | #346 | — | 8 | 2 | no | — |
| 527 | #346 | — | 8 | 1 | no | — |
| 528 | C4×C16 | — | 2 | 4 | no | — |
| 529 | C4×C16 | — | 2 | 4 | no | — |
| 530 | C4×C16 | — | 2 | 4 | no | — |
| 531 | C4×C16 | — | 2 | 4 | no | — |
| 532 | C4×C16 | — | 2 | 1 | no | — |
| 533 | C4×C16 | — | 2 | 1 | no | — |
| 534 | C4×C16 | — | 4 | 2 | no | — |
| 535 | C4×C16 | — | 4 | 4 | no | — |
| 536 | C4×C16 | — | 4 | 2 | no | — |
| 537 | C4×C16 | — | 4 | 4 | no | — |
| 538 | C4×C16 | — | 8 | 1 | no | — |
| 539 | C4×C16 | — | 8 | 1 | no | — |
| 540 | C4×C16 | — | 8 | 1 | no | — |
| 541 | C4×C16 | — | 8 | 2 | no | — |
| 542 | C4×C16 | — | 8 | 1 | no | — |
| 543 | C4×C16 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 544 | C4×C16 | C2×#97 | 1 | 1 | yes | characteristic |
| 545 | C4×C16 | #405 | 1 | 1 | yes | characteristic |
| 546 | C4×C16 | #405 | 1 | 1 | yes | characteristic |
| 547 | C4×C16 | C8×D4 | 1 | 1 | yes | characteristic |
| 548 | C4×C16 | C8×D4 | 1 | 1 | yes | characteristic |
| 549 | C4×C16 | #435 | 1 | 2 | yes | — |
| 550 | C4×C16 | #443 | 1 | 2 | yes | — |
| 551 | C4×C16 | #444 | 1 | 1 | yes | characteristic |
| 552 | C4×C16 | #444 | 1 | 1 | yes | characteristic |
| 553 | #341 | — | 4 | 1 | no | — |
| 554 | #339 | — | 4 | 1 | no | — |
| 555 | #339 | — | 4 | 1 | no | — |
| 556 | #335 | — | 4 | 2 | no | — |
| 557 | #334 | — | 4 | 2 | no | — |
| 558 | Q8⋊C8 | — | 8 | 2 | no | — |
| 559 | D4⋊C8 | — | 8 | 2 | no | — |
| 560 | #322 | — | 4 | 1 | no | — |
| 561 | #322 | — | 4 | 1 | no | — |
| 562 | #322 | — | 4 | 1 | no | — |
| 563 | #322 | — | 4 | 1 | no | — |
| 564 | #322 | — | 4 | 1 | no | — |
| 565 | #322 | — | 4 | 1 | no | — |
| 566 | #322 | — | 4 | 1 | no | — |
| 567 | #322 | — | 4 | 1 | no | — |
| 568 | #322 | — | 8 | 1 | no | — |
| 569 | #322 | — | 8 | 8 | no | — |
| 570 | #322 | — | 8 | 2 | no | — |
| 571 | C82 | — | 2 | 4 | no | — |
| 572 | C82 | — | 2 | 1 | no | — |
| 573 | C82 | — | 2 | 1 | no | — |
| 574 | C82 | — | 8 | 1 | no | — |
| 575 | C82 | — | 8 | 2 | no | — |
| 576 | C82 | C8×D4 | 1 | 1 | yes | characteristic |
| 577 | C82 | C8×D4 | 1 | 1 | yes | characteristic |
| 578 | C82 | #435 | 1 | 2 | yes | — |
| 579 | C2×#41 | — | 4 | 1 | no | — |
| 580 | #135 | — | 2 | 2 | no | — |
| 581 | #135 | — | 2 | 2 | no | — |
| 582 | #135 | — | 4 | 1 | no | — |
| 583 | #135 | — | 4 | 1 | no | — |
| 584 | C2×Q16 | — | 2 | 1 | no | — |
| 585 | C2×SD16 | — | 4 | 1 | no | — |
| 586 | C2×D8 | — | 2 | 1 | no | — |
| 587 | #131 | — | 4 | 4 | no | — |
| 588 | #131 | — | 4 | 2 | no | — |
| 589 | #131 | — | 4 | 2 | no | — |
| 590 | #131 | — | 8 | 1 | no | — |
| 591 | #131 | — | 8 | 1 | no | — |
| 592 | #131 | — | 8 | 2 | no | — |
| 593 | C2×M16 | — | 4 | 1 | no | — |
| 594 | C2×M16 | — | 4 | 1 | no | — |
| 595 | C2×M16 | — | 8 | 1 | no | — |
| 596 | C2×M16 | — | 8 | 1 | no | — |
| 597 | C22×C8 | — | 2 | 2 | no | — |
| 598 | C22×C8 | — | 2 | 2 | no | — |
| 599 | C22×C8 | — | 4 | 2 | no | — |
| 600 | C22×C8 | — | 8 | 1 | no | — |
| 601 | C22×C8 | — | 8 | 1 | no | — |
| 602 | C22×C8 | — | 8 | 1 | no | — |
| 603 | C22×C8 | — | 16 | 2 | no | — |
| 604 | C22×C8 | #1489 | 1 | 1 | yes | characteristic |
| 605 | C22×C8 | #1490 | 1 | 1 | yes | characteristic |
| 606 | C22×C8 | #1749 | 1 | 1 | yes | characteristic |
| 607 | C22×C8 | #1762 | 1 | 1 | yes | characteristic |
| 608 | C4×Q8 | — | 4 | 2 | no | — |
| 609 | C4×D4 | — | 4 | 2 | no | — |
| 610 | C4×D4 | — | 8 | 2 | no | — |
| 611 | #117 | — | 4 | 1 | no | — |
| 612 | #117 | — | 8 | 1 | no | — |
| 613 | C2×C42 | — | 2 | 2 | no | — |
| 614 | C2×C42 | — | 8 | 1 | no | — |
| 615 | C2×C42 | #1489 | 1 | 1 | yes | characteristic |
| 616 | C2×C42 | #1490 | 1 | 1 | yes | characteristic |
| 617 | C2×C42 | C4×#104 | 1 | 1 | yes | characteristic |
| 618 | Q32 | — | 2 | 1 | no | — |
| 619 | Q32 | #1313 | 1 | 2 | yes | complemented |
| 620 | SD32 | — | 2 | 2 | no | — |
| 621 | SD32 | — | 2 | 2 | no | — |
| 622 | D16 | — | 2 | 1 | no | — |
| 623 | D16 | #1313 | 1 | 2 | yes | complemented |
| 624 | M32 | — | 4 | 2 | no | — |
| 625 | M32 | — | 4 | 2 | no | — |
| 626 | M32 | — | 8 | 4 | no | — |
| 627 | M32 | — | 8 | 1 | no | — |
| 628 | M32 | — | 8 | 1 | no | — |
| 629 | M32 | — | 8 | 2 | no | — |
| 630 | M32 | — | 8 | 2 | no | — |
| 631 | M32 | — | 8 | 2 | no | — |
| 632 | M32 | — | 8 | 2 | no | — |
| 633 | M32 | — | 16 | 4 | no | — |
| 634 | C2×C16 | — | 2 | 8 | no | — |
| 635 | C2×C16 | — | 2 | 16 | no | — |
| 636 | C2×C16 | — | 2 | 1 | no | — |
| 637 | C2×C16 | — | 2 | 1 | no | — |
| 638 | C2×C16 | — | 2 | 1 | no | — |
| 639 | C2×C16 | — | 2 | 1 | no | — |
| 640 | C2×C16 | — | 2 | 1 | no | — |
| 641 | C2×C16 | — | 2 | 1 | no | — |
| 642 | C2×C16 | — | 2 | 1 | no | — |
| 643 | C2×C16 | — | 2 | 1 | no | — |
| 644 | C2×C16 | — | 2 | 8 | no | — |
| 645 | C2×C16 | — | 2 | 1 | no | — |
| 646 | C2×C16 | — | 2 | 1 | no | — |
| 647 | C2×C16 | — | 2 | 1 | no | — |
| 648 | C2×C16 | — | 2 | 1 | no | — |
| 649 | C2×C16 | — | 2 | 1 | no | — |
| 650 | C2×C16 | — | 2 | 1 | no | — |
| 651 | C2×C16 | — | 4 | 8 | no | — |
| 652 | C2×C16 | — | 4 | 2 | no | — |
| 653 | C2×C16 | — | 4 | 2 | no | — |
| 654 | C2×C16 | — | 4 | 2 | no | — |
| 655 | C2×C16 | — | 8 | 4 | no | — |
| 656 | C2×C16 | — | 8 | 1 | no | — |
| 657 | C2×C16 | — | 8 | 1 | no | — |
| 658 | C2×C16 | — | 8 | 2 | no | — |
| 659 | C2×C16 | — | 8 | 2 | no | — |
| 660 | C2×C16 | — | 8 | 4 | no | — |
| 661 | C2×C16 | — | 8 | 1 | no | — |
| 662 | C2×C16 | — | 8 | 2 | no | — |
| 663 | C2×C16 | — | 8 | 1 | no | — |
| 664 | C2×C16 | — | 8 | 1 | no | — |
| 665 | C2×C16 | — | 8 | 8 | no | — |
| 666 | C2×C16 | — | 16 | 4 | no | — |
| 667 | C2×C16 | C2×#322 | 1 | 1 | yes | characteristic |
| 668 | C2×C16 | C8×M16 | 1 | 1 | yes | characteristic |
| 669 | C2×C16 | #1451 | 1 | 1 | yes | characteristic |
| 670 | C2×C16 | #1452 | 1 | 1 | yes | characteristic |
| 671 | C2×C16 | SD16⋊C8 | 1 | 1 | yes | characteristic |
| 672 | C2×C16 | SD16⋊C8 | 1 | 1 | yes | characteristic |
| 673 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 674 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 675 | C2×C16 | #1585 | 1 | 2 | yes | — |
| 676 | C2×C16 | #1586 | 1 | 2 | yes | — |
| 677 | C2×C16 | C2×#347 | 1 | 1 | yes | characteristic |
| 678 | C2×C16 | C2×#347 | 1 | 1 | yes | characteristic |
| 679 | C2×C16 | C2×#347 | 1 | 1 | yes | characteristic |
| 680 | C2×C16 | C2×#347 | 1 | 1 | yes | characteristic |
| 681 | C2×C16 | #2180 | 1 | 1 | yes | characteristic |
| 682 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 683 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 684 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 685 | #108 | — | 2 | 2 | no | — |
| 686 | #108 | — | 2 | 2 | no | — |
| 687 | #108 | — | 4 | 1 | no | — |
| 688 | #108 | — | 4 | 1 | no | — |
| 689 | #107 | — | 2 | 2 | no | — |
| 690 | #106 | — | 4 | 1 | no | — |
| 691 | C4⋊C8 | — | 8 | 2 | no | — |
| 692 | C4⋊C8 | — | 16 | 2 | no | — |
| 693 | #104 | — | 4 | 4 | no | — |
| 694 | #104 | — | 4 | 2 | no | — |
| 695 | #104 | — | 4 | 2 | no | — |
| 696 | #103 | — | 4 | 2 | no | — |
| 697 | #102 | — | 4 | 2 | no | — |
| 698 | C22⋊C8 | — | 8 | 2 | no | — |
| 699 | C22⋊C8 | — | 16 | 2 | no | — |
| 700 | #97 | — | 8 | 1 | no | — |
| 701 | #97 | — | 8 | 1 | no | — |
| 702 | #97 | — | 8 | 1 | no | — |
| 703 | C4×C8 | — | 2 | 2 | no | — |
| 704 | C4×C8 | — | 2 | 2 | no | — |
| 705 | C4×C8 | — | 2 | 1 | no | — |
| 706 | C4×C8 | — | 2 | 1 | no | — |
| 707 | C4×C8 | — | 2 | 1 | no | — |
| 708 | C4×C8 | — | 2 | 1 | no | — |
| 709 | C4×C8 | — | 2 | 1 | no | — |
| 710 | C4×C8 | — | 2 | 1 | no | — |
| 711 | C4×C8 | — | 2 | 1 | no | — |
| 712 | C4×C8 | — | 2 | 1 | no | — |
| 713 | C4×C8 | — | 2 | 2 | no | — |
| 714 | C4×C8 | — | 2 | 2 | no | — |
| 715 | C4×C8 | — | 2 | 1 | no | — |
| 716 | C4×C8 | — | 2 | 1 | no | — |
| 717 | C4×C8 | — | 4 | 2 | no | — |
| 718 | C4×C8 | — | 4 | 2 | no | — |
| 719 | C4×C8 | — | 4 | 8 | no | — |
| 720 | C4×C8 | — | 8 | 1 | no | — |
| 721 | C4×C8 | — | 8 | 2 | no | — |
| 722 | C4×C8 | — | 8 | 1 | no | — |
| 723 | C4×C8 | — | 8 | 1 | no | — |
| 724 | C4×C8 | — | 8 | 4 | no | — |
| 725 | C4×C8 | — | 8 | 4 | no | — |
| 726 | C4×C8 | — | 8 | 1 | no | — |
| 727 | C4×C8 | — | 8 | 1 | no | — |
| 728 | C4×C8 | — | 16 | 2 | no | — |
| 729 | C4×C8 | C8×C22⋊C4 | 1 | 1 | yes | characteristic |
| 730 | C4×C8 | #1752 | 1 | 1 | yes | characteristic |
| 731 | C4×C8 | #1764 | 1 | 1 | yes | characteristic |
| 732 | C4×C8 | #1765 | 1 | 1 | yes | characteristic |
| 733 | C32 | — | 8 | 2 | no | — |
| 734 | C32 | — | 8 | 2 | no | — |
| 735 | C32 | — | 16 | 2 | no | — |
| 736 | #41 | — | 4 | 2 | no | — |
| 737 | #41 | — | 4 | 2 | no | — |
| 738 | #41 | — | 8 | 1 | no | — |
| 739 | #41 | — | 8 | 1 | no | — |
| 740 | C2×Q8 | — | 4 | 1 | no | — |
| 741 | C2×D4 | — | 4 | 1 | no | — |
| 742 | C2×D4 | — | 8 | 1 | no | — |
| 743 | C22×C4 | — | 2 | 1 | no | — |
| 744 | C22×C4 | — | 2 | 1 | no | — |
| 745 | C22×C4 | — | 8 | 2 | no | — |
| 746 | C22×C4 | — | 8 | 1 | no | — |
| 747 | C22×C4 | #8172 | 1 | 1 | yes | characteristic |
| 748 | C22×C4 | #11669 | 1 | 2 | yes | — |
| 749 | Q16 | — | 2 | 2 | no | — |
| 750 | Q16 | — | 4 | 1 | no | — |
| 751 | SD16 | — | 4 | 2 | no | — |
| 752 | SD16 | — | 4 | 2 | no | — |
| 753 | D8 | — | 2 | 2 | no | — |
| 754 | D8 | — | 4 | 1 | no | — |
| 755 | M16 | — | 4 | 2 | no | — |
| 756 | M16 | — | 4 | 2 | no | — |
| 757 | M16 | — | 8 | 4 | no | — |
| 758 | M16 | — | 8 | 1 | no | — |
| 759 | M16 | — | 8 | 1 | no | — |
| 760 | M16 | — | 8 | 2 | no | — |
| 761 | M16 | — | 8 | 2 | no | — |
| 762 | C2×C8 | — | 2 | 2 | no | — |
| 763 | C2×C8 | — | 2 | 2 | no | — |
| 764 | C2×C8 | — | 2 | 8 | no | — |
| 765 | C2×C8 | — | 2 | 1 | no | — |
| 766 | C2×C8 | — | 2 | 1 | no | — |
| 767 | C2×C8 | — | 2 | 4 | no | — |
| 768 | C2×C8 | — | 2 | 1 | no | — |
| 769 | C2×C8 | — | 2 | 1 | no | — |
| 770 | C2×C8 | — | 2 | 1 | no | — |
| 771 | C2×C8 | — | 4 | 4 | no | — |
| 772 | C2×C8 | — | 8 | 4 | no | — |
| 773 | C2×C8 | — | 8 | 1 | no | — |
| 774 | C2×C8 | — | 8 | 1 | no | — |
| 775 | C2×C8 | — | 8 | 2 | no | — |
| 776 | C2×C8 | — | 8 | 2 | no | — |
| 777 | C2×C8 | — | 8 | 2 | no | — |
| 778 | C2×C8 | — | 16 | 2 | no | — |
| 779 | C2×C8 | — | 16 | 2 | no | — |
| 780 | C2×C8 | — | 16 | 2 | no | — |
| 781 | C2×C8 | — | 16 | 1 | no | — |
| 782 | C2×C8 | — | 64 | 2 | no | — |
| 783 | C2×C8 | #8145 | 1 | 1 | yes | characteristic |
| 784 | C2×C8 | #8186 | 1 | 1 | yes | characteristic |
| 785 | C2×C8 | #8200 | 1 | 1 | yes | characteristic |
| 786 | C2×C8 | #8204 | 1 | 1 | yes | characteristic |
| 787 | C2×C8 | #11669 | 1 | 2 | yes | — |
| 788 | C2×C8 | #12605 | 1 | 1 | yes | characteristic |
| 789 | C2×C8 | #12605 | 1 | 1 | yes | characteristic |
| 790 | C2×C8 | #12609 | 1 | 1 | yes | characteristic |
| 791 | C2×C8 | #12609 | 1 | 1 | yes | characteristic |
| 792 | C2×C8 | #12647 | 1 | 1 | yes | characteristic |
| 793 | C2×C8 | #12649 | 1 | 1 | yes | characteristic |
| 794 | C2×C8 | #12650 | 1 | 1 | yes | characteristic |
| 795 | C2×C8 | #12651 | 1 | 1 | yes | characteristic |
| 796 | C4⋊C4 | — | 4 | 2 | no | — |
| 797 | C4⋊C4 | — | 8 | 2 | no | — |
| 798 | C22⋊C4 | — | 8 | 2 | no | — |
| 799 | C22⋊C4 | — | 8 | 1 | no | — |
| 800 | C42 | — | 2 | 1 | no | — |
| 801 | C42 | — | 2 | 1 | no | — |
| 802 | C42 | — | 2 | 1 | no | — |
| 803 | C42 | — | 2 | 1 | no | — |
| 804 | C42 | — | 2 | 1 | no | — |
| 805 | C42 | — | 4 | 4 | no | — |
| 806 | C42 | — | 8 | 2 | no | — |
| 807 | C42 | — | 8 | 1 | no | — |
| 808 | C42 | C8×#104 | 1 | 1 | yes | characteristic |
| 809 | C42 | #8192 | 1 | 1 | yes | characteristic |
| 810 | C16 | — | 2 | 16 | no | — |
| 811 | C16 | — | 2 | 1 | no | — |
| 812 | C16 | — | 2 | 1 | no | — |
| 813 | C16 | — | 2 | 1 | no | — |
| 814 | C16 | — | 2 | 1 | no | — |
| 815 | C16 | — | 2 | 2 | no | — |
| 816 | C16 | — | 2 | 2 | no | — |
| 817 | C16 | — | 4 | 8 | no | — |
| 818 | C16 | — | 4 | 1 | no | — |
| 819 | C16 | — | 4 | 1 | no | — |
| 820 | C16 | — | 8 | 2 | no | — |
| 821 | C16 | — | 8 | 2 | no | — |
| 822 | C16 | — | 8 | 2 | no | — |
| 823 | C16 | — | 16 | 2 | no | — |
| 824 | C16 | — | 16 | 4 | no | — |
| 825 | C16 | — | 16 | 1 | no | — |
| 826 | C16 | C2×#1313 | 1 | 1 | yes | characteristic |
| 827 | C16 | #11404 | 1 | 1 | yes | characteristic |
| 828 | C16 | #11415 | 1 | 1 | yes | characteristic |
| 829 | C16 | #11415 | 1 | 1 | yes | characteristic |
| 830 | C16 | #12065 | 1 | 1 | yes | characteristic |
| 831 | C16 | #12065 | 1 | 1 | yes | characteristic |
| 832 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 833 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 834 | C23 | — | 8 | 1 | no | — |
| 835 | C23 | #128570 | 1 | 1 | yes | characteristic |
| 836 | Q8 | — | 4 | 2 | no | — |
| 837 | Q8 | — | 8 | 1 | no | — |
| 838 | D4 | — | 4 | 2 | no | — |
| 839 | D4 | — | 8 | 2 | no | — |
| 840 | D4 | — | 8 | 2 | no | — |
| 841 | D4 | — | 8 | 1 | no | — |
| 842 | C2×C4 | — | 2 | 4 | no | — |
| 843 | C2×C4 | — | 2 | 1 | no | — |
| 844 | C2×C4 | — | 2 | 1 | no | — |
| 845 | C2×C4 | — | 2 | 2 | no | — |
| 846 | C2×C4 | — | 4 | 2 | no | — |
| 847 | C2×C4 | — | 4 | 2 | no | — |
| 848 | C2×C4 | — | 4 | 1 | no | — |
| 849 | C2×C4 | — | 8 | 1 | no | — |
| 850 | C2×C4 | — | 8 | 2 | no | — |
| 851 | C2×C4 | — | 8 | 2 | no | — |
| 852 | C2×C4 | — | 8 | 2 | no | — |
| 853 | C2×C4 | — | 32 | 2 | no | — |
| 854 | C2×C4 | #96692 | 1 | 1 | yes | characteristic |
| 855 | C2×C4 | #128566 | 1 | 1 | yes | characteristic |
| 856 | C2×C4 | #128566 | 1 | 1 | yes | characteristic |
| 857 | C2×C4 | #128570 | 1 | 1 | yes | characteristic |
| 858 | C2×C4 | #128572 | 1 | 1 | yes | characteristic |
| 859 | C2×C4 | #128574 | 1 | 1 | yes | characteristic |
| 860 | C8 | — | 2 | 4 | no | — |
| 861 | C8 | — | 2 | 4 | no | — |
| 862 | C8 | — | 2 | 2 | no | — |
| 863 | C8 | — | 4 | 4 | no | — |
| 864 | C8 | — | 4 | 1 | no | — |
| 865 | C8 | — | 8 | 2 | no | — |
| 866 | C8 | — | 8 | 2 | no | — |
| 867 | C8 | — | 16 | 2 | no | — |
| 868 | C8 | — | 32 | 2 | no | — |
| 869 | C8 | — | 32 | 1 | no | — |
| 870 | C8 | #128259 | 1 | 1 | yes | characteristic |
| 871 | C8 | #128262 | 1 | 1 | yes | characteristic |
| 872 | C8 | #128636 | 1 | 1 | yes | characteristic |
| 873 | C8 | #128636 | 1 | 1 | yes | characteristic |
| 874 | C8 | #128688 | 1 | 1 | yes | characteristic |
| 875 | C8 | #128690 | 1 | 1 | yes | characteristic |
| 876 | C8 | #128722 | 1 | 1 | yes | characteristic |
| 877 | C8 | #128723 | 1 | 1 | yes | characteristic |
| 878 | C22 | — | 2 | 2 | no | — |
| 879 | C22 | — | 8 | 2 | no | — |
| 880 | C22 | — | 16 | 2 | no | — |
| 881 | C22 | #72214681 | 1 | 1 | yes | characteristic |
| 882 | C22 | #72216228 | 1 | 1 | yes | characteristic |
| 883 | C22 | #72216552 | 1 | 1 | yes | characteristic |
| 884 | C4 | — | 2 | 2 | no | — |
| 885 | C4 | — | 2 | 2 | no | — |
| 886 | C4 | — | 4 | 2 | no | — |
| 887 | C4 | — | 8 | 1 | no | — |
| 888 | C4 | — | 8 | 2 | no | — |
| 889 | C4 | — | 16 | 2 | no | — |
| 890 | C4 | #72214681 | 1 | 1 | yes | characteristic |
| 891 | C4 | #72216546 | 1 | 1 | yes | characteristic |
| 892 | C4 | #72216549 | 1 | 1 | yes | characteristic |
| 893 | C4 | #72216552 | 1 | 1 | yes | characteristic |
| 894 | C2 | — | 2 | 1 | no | — |
| 895 | C2 | — | 2 | 1 | no | — |
| 896 | C2 | — | 16 | 2 | no | — |
| 897 | C2 | #72214687 | 1 | 2 | yes | — |
| 898 | C2 | #72216555 | 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