← #72323120
Subgroups — #72323120
Order 4096.
5005 conjugacy classes of subgroups.
The subgroup lattice has 880 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72323098 | C2 | 1 | 3 | yes | maximal, complemented |
| 2 | #72323065 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #72323002 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #72322983 | C22 | 1 | 1 | yes | characteristic, complemented |
| 5 | #72322983 | C22 | 1 | 3 | yes | complemented |
| 6 | #72322859 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #72322417 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #72322399 | C22 | 1 | 6 | yes | complemented |
| 9 | #72320725 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #72320682 | — | 2 | 2 | no | — |
| 11 | #72320645 | — | 2 | 2 | no | — |
| 12 | #72320572 | C22 | 1 | 6 | yes | complemented |
| 13 | #72320492 | C22 | 1 | 6 | yes | complemented |
| 14 | #72320200 | — | 2 | 6 | no | — |
| 15 | #72287293 | — | 2 | 6 | no | — |
| 16 | #72286865 | C2 | 1 | 6 | yes | maximal, complemented |
| 17 | #72286838 | C22 | 1 | 6 | yes | complemented |
| 18 | #72286797 | C22 | 1 | 6 | yes | complemented |
| 19 | #72286779 | C22 | 1 | 6 | yes | complemented |
| 20 | #72286459 | C22 | 1 | 6 | yes | complemented |
| 21 | #72286459 | C22 | 1 | 6 | yes | complemented |
| 22 | #72286459 | C22 | 1 | 12 | yes | complemented |
| 23 | C2×#72224639 | C2 | 1 | 3 | yes | maximal, complemented |
| 24 | C2×#93757 | C22 | 1 | 6 | yes | complemented |
| 25 | C2×#122963 | C22 | 1 | 6 | yes | complemented |
| 26 | #72232013 | C2 | 1 | 1 | yes | maximal, characteristic |
| 27 | #72232012 | C4 | 1 | 1 | yes | characteristic |
| 28 | #72232011 | C4 | 1 | 3 | yes | — |
| 29 | #72232010 | C4 | 1 | 6 | yes | — |
| 30 | #72232009 | C4 | 1 | 3 | yes | — |
| 31 | #72232008 | C4 | 1 | 2 | yes | — |
| 32 | #72232007 | C4 | 1 | 1 | yes | characteristic |
| 33 | #72232006 | C22 | 1 | 2 | yes | — |
| 34 | #72232000 | C22 | 1 | 3 | yes | — |
| 35 | #72231930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 36 | #72231929 | C22 | 1 | 6 | yes | complemented |
| 37 | #72231928 | C22 | 1 | 2 | yes | — |
| 38 | #72231924 | C22 | 1 | 3 | yes | complemented |
| 39 | C2×#93877 | C22 | 1 | 3 | yes | complemented |
| 40 | #72231878 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 41 | #72231877 | C22 | 1 | 3 | yes | complemented |
| 42 | #72231876 | C22 | 1 | 1 | yes | characteristic |
| 43 | #72231875 | C22 | 1 | 1 | yes | characteristic |
| 44 | #72231870 | C22 | 1 | 3 | yes | complemented |
| 45 | C2×#93668 | C22 | 1 | 3 | yes | complemented |
| 46 | #72231854 | C22 | 1 | 1 | yes | characteristic |
| 47 | #72225141 | C22 | 1 | 3 | yes | complemented |
| 48 | #72224639 | C22 | 1 | 3 | yes | complemented |
| 49 | #72224639 | C22 | 1 | 3 | yes | complemented |
| 50 | #72224639 | C22 | 1 | 6 | yes | complemented |
| 51 | #72224639 | C22 | 1 | 12 | yes | complemented |
| 52 | #72224639 | C22 | 1 | 6 | yes | complemented |
| 53 | #72224639 | C22 | 1 | 6 | yes | complemented |
| 54 | C2×#151085 | C22 | 1 | 3 | yes | — |
| 55 | #72223673 | C22 | 1 | 6 | yes | — |
| 56 | C2×#33982 | C8 | 1 | 1 | yes | characteristic |
| 57 | C16×H(5,𝔽2) | — | 4 | 2 | no | — |
| 58 | C4×#3415 | C2×C4 | 1 | 2 | yes | — |
| 59 | C8×#576 | — | 2 | 2 | no | — |
| 60 | #512770 | C8 | 1 | 3 | yes | — |
| 61 | #512766 | C8 | 1 | 3 | yes | — |
| 62 | #512764 | C8 | 1 | 6 | yes | — |
| 63 | C4×#2263 | C2×C4 | 1 | 6 | yes | — |
| 64 | #512761 | C2×C4 | 1 | 3 | yes | — |
| 65 | C2×#13654 | C2×C4 | 1 | 3 | yes | — |
| 66 | #512720 | C8 | 1 | 1 | yes | characteristic |
| 67 | #512691 | C8 | 1 | 2 | yes | — |
| 68 | #512545 | — | 2 | 1 | no | — |
| 69 | #512545 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | #512545 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | #483760 | — | 2 | 6 | no | — |
| 72 | #483706 | — | 2 | 6 | no | — |
| 73 | #483666 | — | 4 | 6 | no | — |
| 74 | C16×AGL(1,ℤ/8) | — | 4 | 6 | no | — |
| 75 | #483604 | — | 2 | 6 | no | — |
| 76 | C2×#12062 | — | 2 | 6 | no | — |
| 77 | #483508 | C2×C4 | 1 | 6 | yes | — |
| 78 | #483504 | C2×C4 | 1 | 6 | yes | — |
| 79 | #483502 | — | 2 | 6 | no | — |
| 80 | C8×#509 | — | 2 | 6 | no | — |
| 81 | #483499 | C23 | 1 | 6 | yes | — |
| 82 | C2×#12045 | C23 | 1 | 6 | yes | — |
| 83 | #483376 | — | 2 | 2 | no | — |
| 84 | #483341 | C2×C4 | 1 | 2 | yes | — |
| 85 | #481216 | — | 4 | 2 | no | — |
| 86 | #481057 | — | 2 | 2 | no | — |
| 87 | #479948 | D4 | 1 | 2 | yes | — |
| 88 | #479899 | C23 | 1 | 1 | yes | characteristic |
| 89 | #151085 | C2×C4 | 1 | 6 | yes | — |
| 90 | #151085 | C2×C4 | 1 | 6 | yes | — |
| 91 | #151085 | C2×C4 | 1 | 3 | yes | — |
| 92 | #151085 | C2×C4 | 1 | 12 | yes | — |
| 93 | #151085 | C23 | 1 | 3 | yes | — |
| 94 | #151085 | C23 | 1 | 6 | yes | — |
| 95 | #151084 | C2×C4 | 1 | 3 | yes | — |
| 96 | #151084 | C23 | 1 | 1 | yes | characteristic |
| 97 | #151083 | C2×C4 | 1 | 6 | yes | — |
| 98 | #151083 | C2×C4 | 1 | 12 | yes | — |
| 99 | #151083 | C23 | 1 | 6 | yes | — |
| 100 | #151038 | C2×C4 | 1 | 6 | yes | — |
| 101 | #151037 | C2×C4 | 1 | 3 | yes | — |
| 102 | C2×#7463 | C2×C4 | 1 | 3 | yes | — |
| 103 | #150064 | C2×C4 | 1 | 6 | yes | — |
| 104 | #150063 | C2×C4 | 1 | 6 | yes | — |
| 105 | #150062 | C2×C4 | 1 | 6 | yes | — |
| 106 | C2×#7385 | C2×C4 | 1 | 6 | yes | — |
| 107 | #149502 | C23 | 1 | 3 | yes | — |
| 108 | #149501 | — | 2 | 3 | no | — |
| 109 | C2×#7332 | C23 | 1 | 3 | yes | — |
| 110 | #149496 | C2×C4 | 1 | 3 | yes | — |
| 111 | #149496 | C2×C4 | 1 | 3 | yes | — |
| 112 | #149495 | C23 | 1 | 3 | yes | — |
| 113 | C2×#7330 | C23 | 1 | 3 | yes | — |
| 114 | #122963 | — | 2 | 12 | no | — |
| 115 | #122963 | — | 2 | 6 | no | — |
| 116 | #122963 | — | 2 | 6 | no | — |
| 117 | #122963 | C23 | 1 | 6 | yes | — |
| 118 | #122963 | C23 | 1 | 12 | yes | — |
| 119 | #122963 | C23 | 1 | 6 | yes | — |
| 120 | #122962 | C23 | 1 | 2 | yes | — |
| 121 | #122962 | C23 | 1 | 6 | yes | — |
| 122 | #122961 | — | 2 | 6 | no | — |
| 123 | #122961 | — | 2 | 12 | no | — |
| 124 | #122961 | — | 2 | 6 | no | — |
| 125 | #122920 | — | 2 | 6 | no | — |
| 126 | #122919 | C23 | 1 | 6 | yes | — |
| 127 | C2×#7099 | C23 | 1 | 6 | yes | — |
| 128 | #122466 | — | 2 | 6 | no | — |
| 129 | #122465 | — | 2 | 6 | no | — |
| 130 | #122464 | — | 2 | 6 | no | — |
| 131 | C2×#7070 | — | 2 | 6 | no | — |
| 132 | #122214 | C23 | 1 | 3 | yes | — |
| 133 | #122213 | D4 | 1 | 6 | yes | — |
| 134 | C2×#7053 | C23 | 1 | 3 | yes | — |
| 135 | #93877 | C23 | 1 | 3 | yes | — |
| 136 | #93877 | C23 | 1 | 1 | yes | characteristic |
| 137 | #93877 | C23 | 1 | 6 | yes | — |
| 138 | #93877 | C23 | 1 | 6 | yes | — |
| 139 | #93758 | C23 | 1 | 2 | yes | — |
| 140 | #93758 | C23 | 1 | 6 | yes | — |
| 141 | #93757 | C23 | 1 | 6 | yes | — |
| 142 | #93757 | C23 | 1 | 12 | yes | — |
| 143 | #93757 | C23 | 1 | 6 | yes | — |
| 144 | #93668 | C23 | 1 | 3 | yes | — |
| 145 | #93668 | C23 | 1 | 6 | yes | — |
| 146 | #93668 | C23 | 1 | 1 | yes | characteristic |
| 147 | #93668 | C23 | 1 | 3 | yes | — |
| 148 | #93668 | C23 | 1 | 3 | yes | — |
| 149 | C2×#3415 | C2×C8 | 1 | 2 | yes | — |
| 150 | C8×H(5,𝔽2) | — | 4 | 2 | no | — |
| 151 | C4×#576 | — | 2 | 2 | no | — |
| 152 | #33982 | C16 | 1 | 16 | yes | complemented |
| 153 | C2×#2263 | C2×C8 | 1 | 6 | yes | — |
| 154 | C2×#2262 | C2×C8 | 1 | 3 | yes | — |
| 155 | C22×D32 | C2×C8 | 1 | 3 | yes | — |
| 156 | C2×#2258 | — | 2 | 1 | no | — |
| 157 | C2×#2258 | — | 4 | 1 | no | — |
| 158 | C2×#2258 | C2×C8 | 1 | 1 | yes | characteristic |
| 159 | C2×#2258 | C2×C8 | 1 | 1 | yes | characteristic |
| 160 | #33502 | — | 4 | 2 | no | — |
| 161 | #33502 | — | 4 | 6 | no | — |
| 162 | #33502 | — | 8 | 2 | no | — |
| 163 | #33486 | — | 4 | 6 | no | — |
| 164 | #33486 | — | 8 | 6 | no | — |
| 165 | C16×#41 | — | 2 | 2 | no | — |
| 166 | C16×#41 | — | 4 | 6 | no | — |
| 167 | C16×#41 | — | 8 | 2 | no | — |
| 168 | #33459 | C2×C8 | 1 | 6 | yes | — |
| 169 | #33456 | C2×C8 | 1 | 6 | yes | — |
| 170 | #33454 | — | 2 | 6 | no | — |
| 171 | C4×#509 | — | 2 | 6 | no | — |
| 172 | C4×#508 | C22×C4 | 1 | 6 | yes | — |
| 173 | C2×C4×D16 | C22×C4 | 1 | 6 | yes | — |
| 174 | C2×D4×C16 | — | 4 | 6 | no | — |
| 175 | C2×D4×C16 | — | 8 | 6 | no | — |
| 176 | #33410 | C2×C8 | 1 | 2 | yes | — |
| 177 | #33381 | — | 2 | 2 | no | — |
| 178 | C4×#504 | C22×C4 | 1 | 1 | yes | characteristic |
| 179 | C4×#504 | #41 | 1 | 1 | yes | characteristic |
| 180 | #17857 | — | 2 | 6 | no | — |
| 181 | #17854 | — | 2 | 6 | no | — |
| 182 | #17852 | — | 4 | 6 | no | — |
| 183 | C8×AGL(1,ℤ/8) | — | 4 | 6 | no | — |
| 184 | C8×#135 | — | 2 | 6 | no | — |
| 185 | C2×C8×D8 | — | 2 | 6 | no | — |
| 186 | #17789 | — | 2 | 2 | no | — |
| 187 | #17438 | — | 4 | 2 | no | — |
| 188 | C8×#131 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | #13654 | C2×C8 | 1 | 6 | yes | — |
| 190 | #13654 | C2×C8 | 1 | 6 | yes | — |
| 191 | #13654 | C2×C8 | 1 | 3 | yes | — |
| 192 | #13654 | C22×C4 | 1 | 3 | yes | — |
| 193 | #13654 | C22×C4 | 1 | 6 | yes | — |
| 194 | #13653 | C2×C8 | 1 | 3 | yes | — |
| 195 | #13653 | C22×C4 | 1 | 1 | yes | characteristic |
| 196 | #13652 | C2×C8 | 1 | 6 | yes | — |
| 197 | #13652 | C22×C4 | 1 | 6 | yes | — |
| 198 | C4×SD64 | C2×C8 | 1 | 12 | yes | — |
| 199 | C4×D32 | C2×C8 | 1 | 12 | yes | — |
| 200 | #13634 | C2×C8 | 1 | 6 | yes | — |
| 201 | #13633 | C2×C8 | 1 | 3 | yes | — |
| 202 | C2×#1424 | C2×C8 | 1 | 3 | yes | — |
| 203 | #13617 | C2×C8 | 1 | 6 | yes | — |
| 204 | #13616 | C2×C8 | 1 | 6 | yes | — |
| 205 | #13615 | C2×C8 | 1 | 6 | yes | — |
| 206 | C2×#1415 | C2×C8 | 1 | 6 | yes | — |
| 207 | #13549 | — | 2 | 3 | no | — |
| 208 | #13549 | — | 4 | 3 | no | — |
| 209 | #13549 | C2×C8 | 1 | 3 | yes | — |
| 210 | #13549 | C2×C8 | 1 | 3 | yes | — |
| 211 | C4×M64 | — | 2 | 3 | no | — |
| 212 | C4×M64 | C22×C4 | 1 | 3 | yes | — |
| 213 | C4×M64 | C22×C4 | 1 | 3 | yes | — |
| 214 | C2×#1397 | — | 2 | 3 | no | — |
| 215 | C2×#1397 | C22×C4 | 1 | 3 | yes | — |
| 216 | C2×#1397 | C22×C4 | 1 | 3 | yes | — |
| 217 | #12062 | — | 2 | 6 | no | — |
| 218 | #12062 | — | 2 | 6 | no | — |
| 219 | #12062 | — | 2 | 12 | no | — |
| 220 | #12062 | — | 4 | 6 | no | — |
| 221 | #12062 | — | 4 | 6 | no | — |
| 222 | #12059 | — | 2 | 2 | no | — |
| 223 | #12059 | — | 2 | 6 | no | — |
| 224 | SD16⋊C16 | — | 4 | 6 | no | — |
| 225 | SD16⋊C16 | — | 4 | 6 | no | — |
| 226 | C16×SD16 | — | 4 | 12 | no | — |
| 227 | #12045 | — | 2 | 6 | no | — |
| 228 | #12045 | — | 2 | 6 | no | — |
| 229 | #12045 | C22×C4 | 1 | 12 | yes | — |
| 230 | #12045 | C22×C4 | 1 | 6 | yes | — |
| 231 | #12045 | C24 | 1 | 6 | yes | — |
| 232 | #12044 | C22×C4 | 1 | 6 | yes | — |
| 233 | #12044 | C24 | 1 | 2 | yes | — |
| 234 | #12043 | — | 2 | 6 | no | — |
| 235 | #12043 | — | 2 | 6 | no | — |
| 236 | C8×SD32 | — | 2 | 12 | no | — |
| 237 | C8×D16 | — | 2 | 12 | no | — |
| 238 | C16×D8 | — | 4 | 12 | no | — |
| 239 | #12015 | — | 4 | 6 | no | — |
| 240 | #12012 | — | 2 | 6 | no | — |
| 241 | #12009 | — | 2 | 6 | no | — |
| 242 | #12008 | C22×C4 | 1 | 6 | yes | — |
| 243 | C2×#1372 | C22×C4 | 1 | 6 | yes | — |
| 244 | C2×#1367 | — | 2 | 6 | no | — |
| 245 | #11629 | — | 4 | 6 | no | — |
| 246 | #11621 | — | 4 | 6 | no | — |
| 247 | #11613 | — | 4 | 6 | no | — |
| 248 | #11593 | — | 2 | 6 | no | — |
| 249 | #11592 | — | 2 | 6 | no | — |
| 250 | #11591 | — | 2 | 6 | no | — |
| 251 | C2×#1331 | — | 2 | 6 | no | — |
| 252 | C2×D4⋊C16 | — | 4 | 6 | no | — |
| 253 | #11410 | C2×D4 | 1 | 6 | yes | — |
| 254 | C16×M16 | — | 2 | 6 | no | — |
| 255 | C2×#1312 | C2×D4 | 1 | 6 | yes | — |
| 256 | #11399 | C22×C4 | 1 | 3 | yes | — |
| 257 | #11399 | #41 | 1 | 3 | yes | — |
| 258 | C8×M32 | C2×D4 | 1 | 3 | yes | — |
| 259 | C2×#1311 | C24 | 1 | 3 | yes | — |
| 260 | #7463 | C22×C4 | 1 | 6 | yes | — |
| 261 | #7463 | C22×C4 | 1 | 6 | yes | — |
| 262 | #7463 | C22×C4 | 1 | 3 | yes | — |
| 263 | #7463 | C22×C4 | 1 | 1 | yes | characteristic |
| 264 | #7386 | C22×C4 | 1 | 2 | yes | — |
| 265 | #7386 | C22×C4 | 1 | 6 | yes | — |
| 266 | #7385 | C22×C4 | 1 | 6 | yes | — |
| 267 | #7385 | C22×C4 | 1 | 12 | yes | — |
| 268 | #7385 | C22×C4 | 1 | 6 | yes | — |
| 269 | #7332 | — | 2 | 3 | no | — |
| 270 | #7332 | — | 2 | 3 | no | — |
| 271 | #7332 | C24 | 1 | 1 | yes | characteristic |
| 272 | #7332 | C24 | 1 | 3 | yes | — |
| 273 | #7330 | C22×C4 | 1 | 3 | yes | — |
| 274 | #7330 | C22×C4 | 1 | 6 | yes | — |
| 275 | #7330 | C22×C4 | 1 | 3 | yes | — |
| 276 | #7330 | C24 | 1 | 3 | yes | — |
| 277 | #7330 | C24 | 1 | 1 | yes | characteristic |
| 278 | #7099 | — | 2 | 6 | no | — |
| 279 | #7099 | — | 2 | 6 | no | — |
| 280 | #7099 | C24 | 1 | 6 | yes | — |
| 281 | #7099 | C24 | 1 | 2 | yes | — |
| 282 | #7071 | — | 2 | 2 | no | — |
| 283 | #7071 | — | 2 | 6 | no | — |
| 284 | #7070 | — | 2 | 6 | no | — |
| 285 | #7070 | — | 2 | 12 | no | — |
| 286 | #7070 | — | 2 | 6 | no | — |
| 287 | #7053 | C2×D4 | 1 | 6 | yes | — |
| 288 | #7053 | C2×D4 | 1 | 6 | yes | — |
| 289 | #7053 | C24 | 1 | 1 | yes | characteristic |
| 290 | #7053 | C24 | 1 | 3 | yes | — |
| 291 | C2×#576 | — | 2 | 2 | no | — |
| 292 | C4×H(5,𝔽2) | — | 4 | 2 | no | — |
| 293 | #3415 | — | 2 | 8 | no | — |
| 294 | #3415 | C2×C16 | 1 | 16 | yes | complemented |
| 295 | C2×#509 | — | 2 | 6 | no | — |
| 296 | C2×#508 | C22×C8 | 1 | 6 | yes | — |
| 297 | C22×D16 | C22×C8 | 1 | 6 | yes | — |
| 298 | C2×#504 | — | 2 | 1 | no | — |
| 299 | C2×#504 | C22×C8 | 1 | 1 | yes | characteristic |
| 300 | C2×#504 | #131 | 1 | 1 | yes | characteristic |
| 301 | C23×C16 | — | 8 | 6 | no | — |
| 302 | #2988 | — | 4 | 6 | no | — |
| 303 | #2988 | — | 4 | 2 | no | — |
| 304 | #2988 | — | 8 | 2 | no | — |
| 305 | #2972 | — | 4 | 6 | no | — |
| 306 | #2972 | — | 8 | 6 | no | — |
| 307 | C8×#41 | — | 4 | 6 | no | — |
| 308 | C8×#41 | — | 8 | 2 | no | — |
| 309 | C8×#41 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 310 | #2951 | — | 2 | 6 | no | — |
| 311 | #2948 | — | 2 | 6 | no | — |
| 312 | #2946 | — | 4 | 6 | no | — |
| 313 | C4×AGL(1,ℤ/8) | — | 4 | 6 | no | — |
| 314 | C4×#135 | — | 2 | 6 | no | — |
| 315 | C2×C4×D8 | — | 2 | 6 | no | — |
| 316 | C2×C8×D4 | — | 4 | 6 | no | — |
| 317 | C2×C8×D4 | — | 8 | 6 | no | — |
| 318 | #2913 | — | 2 | 2 | no | — |
| 319 | #2897 | — | 4 | 2 | no | — |
| 320 | C4×#131 | C4×D4 | 1 | 1 | yes | characteristic |
| 321 | #2263 | C2×C16 | 1 | 48 | yes | complemented |
| 322 | #2262 | C2×C16 | 1 | 24 | yes | complemented |
| 323 | C2×Q64 | C22×C8 | 1 | 1 | yes | characteristic |
| 324 | C2×SD64 | C22×C8 | 1 | 6 | yes | — |
| 325 | C2×D32 | C2×C16 | 1 | 24 | yes | complemented |
| 326 | C2×D32 | C22×C8 | 1 | 6 | yes | — |
| 327 | C2×D32 | C22×C8 | 1 | 3 | yes | — |
| 328 | #2258 | — | 2 | 4 | no | — |
| 329 | #2258 | — | 4 | 4 | no | — |
| 330 | #2258 | — | 8 | 4 | no | — |
| 331 | #2258 | C2×C16 | 1 | 8 | yes | complemented |
| 332 | C2×M64 | — | 2 | 3 | no | — |
| 333 | C2×M64 | — | 4 | 3 | no | — |
| 334 | C2×M64 | C22×C8 | 1 | 3 | yes | — |
| 335 | C2×M64 | C22×C8 | 1 | 3 | yes | — |
| 336 | C22×C32 | — | 2 | 3 | no | — |
| 337 | C22×C32 | — | 4 | 3 | no | — |
| 338 | C22×C32 | C22×C8 | 1 | 3 | yes | — |
| 339 | C22×C32 | C22×C8 | 1 | 3 | yes | — |
| 340 | Q8×C16 | — | 4 | 6 | no | — |
| 341 | Q8×C16 | — | 4 | 2 | no | — |
| 342 | Q8×C16 | — | 4 | 2 | no | — |
| 343 | Q8×C16 | — | 8 | 2 | no | — |
| 344 | #2177 | — | 2 | 12 | no | — |
| 345 | #2175 | — | 2 | 12 | no | — |
| 346 | C4×Q32 | C22×C8 | 1 | 6 | yes | — |
| 347 | C4×Q32 | C23×C4 | 1 | 2 | yes | — |
| 348 | C4×SD32 | — | 2 | 6 | no | — |
| 349 | C4×SD32 | — | 2 | 6 | no | — |
| 350 | C4×D16 | — | 2 | 6 | no | — |
| 351 | C4×D16 | — | 2 | 6 | no | — |
| 352 | C4×D16 | C22×C8 | 1 | 6 | yes | — |
| 353 | C4×D16 | C22×C8 | 1 | 12 | yes | — |
| 354 | C4×D16 | C23×C4 | 1 | 6 | yes | — |
| 355 | D4×C16 | — | 4 | 6 | no | — |
| 356 | D4×C16 | — | 4 | 12 | no | — |
| 357 | D4×C16 | — | 4 | 6 | no | — |
| 358 | D4×C16 | — | 4 | 6 | no | — |
| 359 | D4×C16 | — | 8 | 6 | no | — |
| 360 | D4×C16 | — | 8 | 6 | no | — |
| 361 | D4×C16 | — | 8 | 12 | no | — |
| 362 | D4×C16 | — | 8 | 6 | no | — |
| 363 | D4×C16 | — | 8 | 6 | no | — |
| 364 | D4×C16 | — | 8 | 6 | no | — |
| 365 | D4×C16 | — | 8 | 6 | no | — |
| 366 | D4×C16 | — | 8 | 6 | no | — |
| 367 | #2162 | — | 2 | 6 | no | — |
| 368 | #2162 | — | 4 | 6 | no | — |
| 369 | #2162 | — | 8 | 6 | no | — |
| 370 | #2162 | — | 8 | 6 | no | — |
| 371 | #2159 | — | 2 | 6 | no | — |
| 372 | #2158 | C22×C8 | 1 | 6 | yes | — |
| 373 | C2×#366 | C22×C8 | 1 | 6 | yes | — |
| 374 | C2×C4⋊C16 | — | 4 | 6 | no | — |
| 375 | C2×C4⋊C16 | — | 8 | 6 | no | — |
| 376 | #2140 | — | 2 | 6 | no | — |
| 377 | #2139 | — | 2 | 6 | no | — |
| 378 | #2138 | — | 2 | 6 | no | — |
| 379 | C2×#357 | — | 2 | 6 | no | — |
| 380 | C2×C22⋊C16 | — | 8 | 12 | no | — |
| 381 | C2×C22⋊C16 | — | 8 | 6 | no | — |
| 382 | #2108 | — | 2 | 3 | no | — |
| 383 | #2108 | C22×C8 | 1 | 3 | yes | — |
| 384 | #2108 | #131 | 1 | 3 | yes | — |
| 385 | C4×M32 | C4×D4 | 1 | 3 | yes | — |
| 386 | C4×M32 | C4×D4 | 1 | 3 | yes | — |
| 387 | C2×C4×C16 | — | 2 | 6 | no | — |
| 388 | C2×C4×C16 | — | 8 | 6 | no | — |
| 389 | C2×C4×C16 | C23×C4 | 1 | 3 | yes | — |
| 390 | C2×C4×C16 | C2×#41 | 1 | 3 | yes | — |
| 391 | #1580 | — | 4 | 12 | no | — |
| 392 | SD16⋊C8 | — | 4 | 12 | no | — |
| 393 | C8×Q16 | — | 2 | 6 | no | — |
| 394 | C8×Q16 | — | 2 | 2 | no | — |
| 395 | C8×SD16 | — | 4 | 6 | no | — |
| 396 | C8×SD16 | — | 4 | 6 | no | — |
| 397 | C8×D8 | — | 2 | 6 | no | — |
| 398 | C8×D8 | — | 2 | 12 | no | — |
| 399 | C8×D8 | — | 2 | 6 | no | — |
| 400 | C8×D8 | — | 4 | 6 | no | — |
| 401 | C8×D8 | — | 4 | 6 | no | — |
| 402 | #1565 | — | 4 | 6 | no | — |
| 403 | #1564 | — | 2 | 6 | no | — |
| 404 | C2×#335 | — | 2 | 6 | no | — |
| 405 | #1478 | — | 4 | 6 | no | — |
| 406 | #1477 | — | 4 | 6 | no | — |
| 407 | #1476 | — | 4 | 6 | no | — |
| 408 | C2×D4⋊C8 | — | 4 | 6 | no | — |
| 409 | #1450 | C4×D4 | 1 | 3 | yes | — |
| 410 | C8×M16 | AGL(1,ℤ/8) | 1 | 6 | yes | — |
| 411 | C2×C82 | C22×D4 | 1 | 3 | yes | — |
| 412 | #1424 | C22×C8 | 1 | 3 | yes | — |
| 413 | #1424 | C22×C8 | 1 | 6 | yes | — |
| 414 | #1424 | C22×C8 | 1 | 1 | yes | characteristic |
| 415 | #1423 | C22×C8 | 1 | 6 | yes | — |
| 416 | #1416 | C22×C8 | 1 | 2 | yes | — |
| 417 | #1416 | C22×C8 | 1 | 6 | yes | — |
| 418 | #1415 | C22×C8 | 1 | 6 | yes | — |
| 419 | #1415 | C22×C8 | 1 | 12 | yes | — |
| 420 | #1415 | C22×C8 | 1 | 6 | yes | — |
| 421 | #1397 | — | 2 | 3 | no | — |
| 422 | #1397 | — | 2 | 1 | no | — |
| 423 | #1397 | — | 2 | 3 | no | — |
| 424 | #1397 | — | 4 | 3 | no | — |
| 425 | #1397 | C22×C8 | 1 | 3 | yes | — |
| 426 | #1397 | C22×C8 | 1 | 3 | yes | — |
| 427 | #1397 | C23×C4 | 1 | 1 | yes | characteristic |
| 428 | #1397 | C23×C4 | 1 | 3 | yes | — |
| 429 | #1397 | C23×C4 | 1 | 3 | yes | — |
| 430 | #1397 | C23×C4 | 1 | 1 | yes | characteristic |
| 431 | C4×C32 | — | 2 | 3 | no | — |
| 432 | C4×C32 | — | 4 | 3 | no | — |
| 433 | C4×C32 | C22×C8 | 1 | 6 | yes | — |
| 434 | #1372 | — | 2 | 6 | no | — |
| 435 | #1372 | C23×C4 | 1 | 6 | yes | — |
| 436 | #1372 | C23×C4 | 1 | 2 | yes | — |
| 437 | #1371 | — | 2 | 6 | no | — |
| 438 | #1370 | — | 4 | 6 | no | — |
| 439 | #1367 | — | 2 | 6 | no | — |
| 440 | #1367 | — | 2 | 2 | no | — |
| 441 | #1367 | — | 4 | 6 | no | — |
| 442 | Q8⋊C16 | — | 4 | 6 | no | — |
| 443 | Q8⋊C16 | — | 4 | 2 | no | — |
| 444 | #1332 | — | 2 | 6 | no | — |
| 445 | #1332 | — | 2 | 2 | no | — |
| 446 | #1331 | — | 2 | 6 | no | — |
| 447 | #1331 | — | 2 | 12 | no | — |
| 448 | #1331 | — | 2 | 6 | no | — |
| 449 | D4⋊C16 | — | 4 | 6 | no | — |
| 450 | D4⋊C16 | — | 4 | 12 | no | — |
| 451 | D4⋊C16 | — | 4 | 6 | no | — |
| 452 | #1312 | — | 2 | 6 | no | — |
| 453 | #1312 | C22×D4 | 1 | 2 | yes | — |
| 454 | #1312 | C22×D4 | 1 | 6 | yes | — |
| 455 | #1311 | C23×C4 | 1 | 3 | yes | — |
| 456 | #1311 | C22×D4 | 1 | 3 | yes | — |
| 457 | #1311 | C2×#41 | 1 | 3 | yes | — |
| 458 | #1311 | C25 | 1 | 1 | yes | characteristic |
| 459 | C8×C16 | — | 2 | 6 | no | — |
| 460 | C8×C16 | C4×D4 | 1 | 6 | yes | — |
| 461 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 462 | #576 | — | 2 | 16 | no | — |
| 463 | #576 | — | 4 | 8 | no | — |
| 464 | C2×AGL(1,ℤ/8) | — | 4 | 6 | no | — |
| 465 | C2×#135 | — | 2 | 6 | no | — |
| 466 | C22×D8 | — | 2 | 6 | no | — |
| 467 | C2×#131 | C8×D4 | 1 | 1 | yes | characteristic |
| 468 | C2×#131 | #444 | 1 | 1 | yes | characteristic |
| 469 | C23×C8 | — | 8 | 6 | no | — |
| 470 | #520 | — | 4 | 2 | no | — |
| 471 | #520 | — | 4 | 6 | no | — |
| 472 | #520 | — | 8 | 2 | no | — |
| 473 | #518 | — | 4 | 6 | no | — |
| 474 | #518 | — | 8 | 6 | no | — |
| 475 | C4×#41 | — | 4 | 6 | no | — |
| 476 | C4×#41 | — | 8 | 2 | no | — |
| 477 | C4×#41 | #442 | 1 | 1 | yes | characteristic |
| 478 | C2×C4×D4 | — | 4 | 6 | no | — |
| 479 | C2×C4×D4 | — | 8 | 6 | no | — |
| 480 | #509 | — | 2 | 48 | no | — |
| 481 | #508 | — | 2 | 12 | no | — |
| 482 | #508 | C22×C16 | 1 | 24 | yes | complemented |
| 483 | C2×Q32 | C23×C8 | 1 | 2 | yes | — |
| 484 | C2×SD32 | — | 2 | 6 | no | — |
| 485 | C2×D16 | — | 2 | 12 | no | — |
| 486 | C2×D16 | — | 2 | 6 | no | — |
| 487 | C2×D16 | C22×C16 | 1 | 24 | yes | complemented |
| 488 | C2×D16 | C23×C8 | 1 | 6 | yes | — |
| 489 | #504 | — | 2 | 4 | no | — |
| 490 | #504 | — | 4 | 4 | no | — |
| 491 | #504 | C22×C16 | 1 | 4 | yes | — |
| 492 | #504 | #504 | 1 | 4 | yes | — |
| 493 | C2×M32 | — | 2 | 3 | no | — |
| 494 | C2×M32 | C8×D4 | 1 | 3 | yes | — |
| 495 | C2×M32 | C8×D4 | 1 | 3 | yes | — |
| 496 | C22×C16 | — | 2 | 3 | no | — |
| 497 | C22×C16 | — | 4 | 6 | no | — |
| 498 | C22×C16 | — | 8 | 6 | no | — |
| 499 | C22×C16 | — | 8 | 6 | no | — |
| 500 | C22×C16 | — | 8 | 12 | no | — |
| 501 | C22×C16 | — | 8 | 6 | no | — |
| 502 | C22×C16 | — | 32 | 12 | no | — |
| 503 | C22×C16 | C23×C8 | 1 | 3 | yes | — |
| 504 | C22×C16 | C2×#131 | 1 | 3 | yes | — |
| 505 | C8×Q8 | — | 2 | 2 | no | — |
| 506 | C8×Q8 | — | 4 | 6 | no | — |
| 507 | C8×Q8 | — | 4 | 2 | no | — |
| 508 | C8×Q8 | — | 8 | 2 | no | — |
| 509 | #442 | — | 4 | 12 | no | — |
| 510 | #440 | — | 4 | 12 | no | — |
| 511 | C4×Q16 | — | 2 | 2 | no | — |
| 512 | C4×Q16 | — | 2 | 6 | no | — |
| 513 | C4×SD16 | — | 4 | 6 | no | — |
| 514 | C4×SD16 | — | 4 | 6 | no | — |
| 515 | C4×D8 | — | 2 | 6 | no | — |
| 516 | C4×D8 | — | 2 | 12 | no | — |
| 517 | C4×D8 | — | 2 | 6 | no | — |
| 518 | C4×D8 | — | 4 | 6 | no | — |
| 519 | C4×D8 | — | 4 | 6 | no | — |
| 520 | C8×D4 | — | 2 | 6 | no | — |
| 521 | C8×D4 | — | 4 | 12 | no | — |
| 522 | C8×D4 | — | 4 | 6 | no | — |
| 523 | C8×D4 | — | 4 | 6 | no | — |
| 524 | C8×D4 | — | 8 | 6 | no | — |
| 525 | C8×D4 | — | 8 | 6 | no | — |
| 526 | C8×D4 | — | 8 | 12 | no | — |
| 527 | C8×D4 | — | 8 | 6 | no | — |
| 528 | C8×D4 | — | 8 | 6 | no | — |
| 529 | C8×D4 | — | 8 | 6 | no | — |
| 530 | C8×D4 | — | 8 | 6 | no | — |
| 531 | C8×D4 | — | 8 | 6 | no | — |
| 532 | #431 | — | 4 | 6 | no | — |
| 533 | #431 | — | 8 | 6 | no | — |
| 534 | #431 | — | 8 | 6 | no | — |
| 535 | #431 | #442 | 1 | 6 | yes | — |
| 536 | #428 | — | 4 | 6 | no | — |
| 537 | #427 | — | 2 | 6 | no | — |
| 538 | C2×#107 | — | 2 | 6 | no | — |
| 539 | C2×C4⋊C8 | — | 4 | 6 | no | — |
| 540 | C2×C4⋊C8 | — | 8 | 6 | no | — |
| 541 | #418 | — | 4 | 6 | no | — |
| 542 | #417 | — | 4 | 6 | no | — |
| 543 | #416 | — | 4 | 6 | no | — |
| 544 | C2×#102 | — | 4 | 6 | no | — |
| 545 | C2×C22⋊C8 | — | 8 | 12 | no | — |
| 546 | C2×C22⋊C8 | — | 8 | 6 | no | — |
| 547 | #405 | C8×D4 | 1 | 3 | yes | — |
| 548 | #405 | #444 | 1 | 3 | yes | — |
| 549 | C4×M16 | #442 | 1 | 3 | yes | — |
| 550 | C2×C4×C8 | — | 8 | 6 | no | — |
| 551 | C2×C4×C8 | C2×C4×D4 | 1 | 3 | yes | — |
| 552 | C2×C4×C8 | C2×AGL(1,ℤ/8) | 1 | 6 | yes | — |
| 553 | Q64 | C22×C16 | 1 | 4 | yes | complemented |
| 554 | SD64 | C22×C16 | 1 | 24 | yes | complemented |
| 555 | D32 | C22×C16 | 1 | 12 | yes | complemented |
| 556 | D32 | C22×C16 | 1 | 24 | yes | complemented |
| 557 | M64 | — | 2 | 6 | no | — |
| 558 | M64 | — | 4 | 6 | no | — |
| 559 | M64 | — | 8 | 6 | no | — |
| 560 | M64 | C22×C16 | 1 | 12 | yes | complemented |
| 561 | C2×C32 | — | 2 | 6 | no | — |
| 562 | C2×C32 | — | 2 | 3 | no | — |
| 563 | C2×C32 | — | 2 | 1 | no | — |
| 564 | C2×C32 | — | 4 | 6 | no | — |
| 565 | C2×C32 | — | 4 | 3 | no | — |
| 566 | C2×C32 | — | 4 | 1 | no | — |
| 567 | C2×C32 | — | 8 | 6 | no | — |
| 568 | C2×C32 | C22×C16 | 1 | 12 | yes | complemented |
| 569 | C2×C32 | C23×C8 | 1 | 3 | yes | — |
| 570 | C2×C32 | C23×C8 | 1 | 1 | yes | characteristic |
| 571 | C2×C32 | C23×C8 | 1 | 3 | yes | — |
| 572 | C2×C32 | C23×C8 | 1 | 1 | yes | characteristic |
| 573 | #367 | — | 2 | 6 | no | — |
| 574 | #366 | — | 2 | 6 | no | — |
| 575 | #366 | C23×C8 | 1 | 6 | yes | — |
| 576 | #366 | C23×C8 | 1 | 2 | yes | — |
| 577 | C4⋊C16 | — | 4 | 6 | no | — |
| 578 | C4⋊C16 | — | 4 | 6 | no | — |
| 579 | C4⋊C16 | — | 4 | 2 | no | — |
| 580 | C4⋊C16 | — | 8 | 6 | no | — |
| 581 | C4⋊C16 | — | 8 | 6 | no | — |
| 582 | C4⋊C16 | — | 8 | 2 | no | — |
| 583 | #358 | — | 2 | 6 | no | — |
| 584 | #358 | — | 2 | 2 | no | — |
| 585 | #357 | — | 2 | 12 | no | — |
| 586 | #357 | — | 2 | 6 | no | — |
| 587 | #357 | — | 2 | 6 | no | — |
| 588 | C22⋊C16 | — | 4 | 6 | no | — |
| 589 | C22⋊C16 | — | 8 | 6 | no | — |
| 590 | C22⋊C16 | — | 8 | 6 | no | — |
| 591 | C22⋊C16 | — | 8 | 12 | no | — |
| 592 | C22⋊C16 | — | 8 | 6 | no | — |
| 593 | #346 | — | 2 | 3 | no | — |
| 594 | #346 | C8×D4 | 1 | 6 | yes | — |
| 595 | C4×C16 | — | 2 | 3 | no | — |
| 596 | C4×C16 | — | 2 | 6 | no | — |
| 597 | C4×C16 | — | 2 | 2 | no | — |
| 598 | C4×C16 | — | 4 | 6 | no | — |
| 599 | C4×C16 | — | 8 | 6 | no | — |
| 600 | C4×C16 | — | 8 | 2 | no | — |
| 601 | C4×C16 | — | 8 | 6 | no | — |
| 602 | C4×C16 | C2×C4×D4 | 1 | 3 | yes | — |
| 603 | C4×C16 | C2×C4×D4 | 1 | 3 | yes | — |
| 604 | C4×C16 | C23×C8 | 1 | 3 | yes | — |
| 605 | C4×C16 | C2×#131 | 1 | 3 | yes | — |
| 606 | C4×C16 | C24×C4 | 1 | 1 | yes | characteristic |
| 607 | C4×C16 | C22×#41 | 1 | 1 | yes | characteristic |
| 608 | #335 | — | 2 | 6 | no | — |
| 609 | #335 | — | 2 | 2 | no | — |
| 610 | #335 | — | 4 | 6 | no | — |
| 611 | #334 | — | 4 | 6 | no | — |
| 612 | Q8⋊C8 | — | 4 | 6 | no | — |
| 613 | Q8⋊C8 | — | 4 | 2 | no | — |
| 614 | D4⋊C8 | — | 4 | 12 | no | — |
| 615 | D4⋊C8 | — | 4 | 6 | no | — |
| 616 | D4⋊C8 | — | 4 | 6 | no | — |
| 617 | #322 | #442 | 1 | 6 | yes | — |
| 618 | C82 | C2×C4×D4 | 1 | 3 | yes | — |
| 619 | C82 | C2×AGL(1,ℤ/8) | 1 | 6 | yes | — |
| 620 | C82 | C23×D4 | 1 | 1 | yes | characteristic |
| 621 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 622 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 623 | C2×#41 | — | 4 | 6 | no | — |
| 624 | C2×#41 | — | 8 | 2 | no | — |
| 625 | C2×#41 | #1580 | 1 | 1 | yes | characteristic |
| 626 | C22×D4 | — | 4 | 6 | no | — |
| 627 | C22×D4 | — | 8 | 6 | no | — |
| 628 | C23×C4 | — | 8 | 6 | no | — |
| 629 | AGL(1,ℤ/8) | — | 4 | 48 | no | — |
| 630 | #135 | — | 2 | 24 | no | — |
| 631 | #135 | — | 4 | 12 | no | — |
| 632 | C2×Q16 | — | 2 | 2 | no | — |
| 633 | C2×SD16 | — | 4 | 6 | no | — |
| 634 | C2×D8 | — | 2 | 24 | no | — |
| 635 | C2×D8 | — | 2 | 6 | no | — |
| 636 | C2×D8 | — | 4 | 12 | no | — |
| 637 | C2×D8 | — | 4 | 6 | no | — |
| 638 | #131 | — | 2 | 4 | no | — |
| 639 | #131 | D4×C16 | 1 | 4 | yes | — |
| 640 | #131 | #2171 | 1 | 4 | yes | — |
| 641 | C2×M16 | #1580 | 1 | 3 | yes | — |
| 642 | C2×M16 | #1580 | 1 | 3 | yes | — |
| 643 | C22×C8 | — | 2 | 6 | no | — |
| 644 | C22×C8 | — | 8 | 6 | no | — |
| 645 | C22×C8 | — | 8 | 12 | no | — |
| 646 | C22×C8 | — | 8 | 6 | no | — |
| 647 | C22×C8 | — | 8 | 6 | no | — |
| 648 | C22×C8 | — | 32 | 6 | no | — |
| 649 | C22×C8 | — | 32 | 6 | no | — |
| 650 | C22×C8 | C2×C8×D4 | 1 | 3 | yes | — |
| 651 | C22×C8 | C2×#444 | 1 | 3 | yes | — |
| 652 | C4×Q8 | — | 4 | 6 | no | — |
| 653 | C4×Q8 | — | 4 | 2 | no | — |
| 654 | C4×Q8 | — | 8 | 2 | no | — |
| 655 | C4×Q8 | AGL(1,ℤ/16) | 1 | 2 | yes | — |
| 656 | C4×D4 | — | 4 | 12 | no | — |
| 657 | C4×D4 | — | 4 | 6 | no | — |
| 658 | C4×D4 | — | 4 | 6 | no | — |
| 659 | C4×D4 | — | 8 | 6 | no | — |
| 660 | C4×D4 | — | 8 | 6 | no | — |
| 661 | C4×D4 | — | 8 | 6 | no | — |
| 662 | C4×D4 | — | 8 | 6 | no | — |
| 663 | C4×D4 | — | 8 | 6 | no | — |
| 664 | C4×D4 | — | 8 | 12 | no | — |
| 665 | C4×D4 | — | 8 | 6 | no | — |
| 666 | C4×D4 | — | 8 | 6 | no | — |
| 667 | C4×D4 | AGL(1,ℤ/16) | 1 | 6 | yes | — |
| 668 | #117 | — | 4 | 6 | no | — |
| 669 | #117 | — | 8 | 6 | no | — |
| 670 | #117 | — | 8 | 6 | no | — |
| 671 | #117 | #1580 | 1 | 3 | yes | — |
| 672 | C2×C4⋊C4 | — | 4 | 6 | no | — |
| 673 | C2×C4⋊C4 | — | 8 | 6 | no | — |
| 674 | C2×C22⋊C4 | — | 8 | 6 | no | — |
| 675 | C2×C22⋊C4 | — | 8 | 12 | no | — |
| 676 | C2×C42 | — | 8 | 6 | no | — |
| 677 | C2×C42 | C2×#442 | 1 | 3 | yes | — |
| 678 | Q32 | — | 2 | 2 | no | — |
| 679 | Q32 | C23×C16 | 1 | 4 | yes | — |
| 680 | SD32 | — | 2 | 24 | no | — |
| 681 | D16 | — | 2 | 24 | no | — |
| 682 | D16 | — | 2 | 6 | no | — |
| 683 | D16 | C23×C16 | 1 | 12 | yes | — |
| 684 | M32 | — | 2 | 6 | no | — |
| 685 | M32 | — | 4 | 6 | no | — |
| 686 | M32 | D4×C16 | 1 | 12 | yes | — |
| 687 | C2×C16 | — | 2 | 6 | no | — |
| 688 | C2×C16 | — | 2 | 1 | no | — |
| 689 | C2×C16 | — | 2 | 3 | no | — |
| 690 | C2×C16 | — | 4 | 6 | no | — |
| 691 | C2×C16 | — | 4 | 2 | no | — |
| 692 | C2×C16 | — | 4 | 6 | no | — |
| 693 | C2×C16 | — | 8 | 2 | no | — |
| 694 | C2×C16 | — | 8 | 6 | no | — |
| 695 | C2×C16 | — | 16 | 6 | no | — |
| 696 | C2×C16 | — | 16 | 12 | no | — |
| 697 | C2×C16 | — | 32 | 6 | no | — |
| 698 | C2×C16 | — | 32 | 12 | no | — |
| 699 | C2×C16 | — | 32 | 6 | no | — |
| 700 | C2×C16 | C2×C8×D4 | 1 | 3 | yes | — |
| 701 | C2×C16 | C2×C8×D4 | 1 | 3 | yes | — |
| 702 | C2×C16 | C23×C16 | 1 | 6 | yes | — |
| 703 | C2×C16 | C2×#504 | 1 | 6 | yes | — |
| 704 | C2×C16 | C24×C8 | 1 | 1 | yes | characteristic |
| 705 | C2×C16 | C22×#131 | 1 | 1 | yes | characteristic |
| 706 | #107 | — | 2 | 6 | no | — |
| 707 | #107 | — | 2 | 2 | no | — |
| 708 | #107 | — | 4 | 6 | no | — |
| 709 | #106 | — | 4 | 6 | no | — |
| 710 | C4⋊C8 | — | 2 | 6 | no | — |
| 711 | C4⋊C8 | — | 4 | 2 | no | — |
| 712 | C4⋊C8 | — | 4 | 6 | no | — |
| 713 | C4⋊C8 | — | 8 | 6 | no | — |
| 714 | C4⋊C8 | — | 8 | 2 | no | — |
| 715 | C4⋊C8 | — | 8 | 6 | no | — |
| 716 | #103 | — | 4 | 2 | no | — |
| 717 | #103 | — | 4 | 6 | no | — |
| 718 | #102 | — | 4 | 6 | no | — |
| 719 | #102 | — | 4 | 12 | no | — |
| 720 | #102 | — | 4 | 6 | no | — |
| 721 | C22⋊C8 | — | 2 | 6 | no | — |
| 722 | C22⋊C8 | — | 8 | 6 | no | — |
| 723 | C22⋊C8 | — | 8 | 6 | no | — |
| 724 | C22⋊C8 | — | 8 | 12 | no | — |
| 725 | C22⋊C8 | — | 8 | 6 | no | — |
| 726 | #97 | #1580 | 1 | 6 | yes | — |
| 727 | C4×C8 | — | 2 | 6 | no | — |
| 728 | C4×C8 | — | 8 | 2 | no | — |
| 729 | C4×C8 | — | 8 | 6 | no | — |
| 730 | C4×C8 | — | 8 | 6 | no | — |
| 731 | C4×C8 | C2×C8×D4 | 1 | 3 | yes | — |
| 732 | C4×C8 | C2×#442 | 1 | 6 | yes | — |
| 733 | C4×C8 | C2×#442 | 1 | 3 | yes | — |
| 734 | C4×C8 | C2×#444 | 1 | 3 | yes | — |
| 735 | C4×C8 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 736 | C4×C8 | C22×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 737 | C32 | — | 2 | 1 | no | — |
| 738 | C32 | — | 2 | 3 | no | — |
| 739 | C32 | — | 4 | 1 | no | — |
| 740 | C32 | — | 4 | 3 | no | — |
| 741 | C32 | — | 8 | 1 | no | — |
| 742 | C32 | — | 8 | 3 | no | — |
| 743 | C32 | C23×C16 | 1 | 2 | yes | — |
| 744 | C32 | C23×C16 | 1 | 6 | yes | — |
| 745 | C24 | — | 8 | 6 | no | — |
| 746 | #41 | — | 4 | 24 | no | — |
| 747 | #41 | — | 8 | 16 | no | — |
| 748 | #41 | — | 8 | 12 | no | — |
| 749 | #41 | #12062 | 1 | 4 | yes | — |
| 750 | #41 | #12068 | 1 | 4 | yes | — |
| 751 | C2×Q8 | — | 4 | 2 | no | — |
| 752 | C2×Q8 | #12067 | 1 | 1 | yes | characteristic |
| 753 | C2×D4 | — | 4 | 6 | no | — |
| 754 | C2×D4 | — | 4 | 24 | no | — |
| 755 | C2×D4 | — | 8 | 6 | no | — |
| 756 | C2×D4 | — | 8 | 48 | no | — |
| 757 | C2×D4 | — | 8 | 6 | no | — |
| 758 | C2×D4 | — | 8 | 12 | no | — |
| 759 | C2×D4 | #12067 | 1 | 3 | yes | — |
| 760 | C22×C4 | — | 8 | 6 | no | — |
| 761 | C22×C4 | — | 8 | 6 | no | — |
| 762 | C22×C4 | — | 8 | 6 | no | — |
| 763 | C22×C4 | — | 8 | 6 | no | — |
| 764 | C22×C4 | — | 8 | 12 | no | — |
| 765 | C22×C4 | — | 32 | 6 | no | — |
| 766 | C22×C4 | — | 32 | 6 | no | — |
| 767 | C22×C4 | C2×#1580 | 1 | 3 | yes | — |
| 768 | C22×C4 | C2×AGL(1,ℤ/16) | 1 | 6 | yes | — |
| 769 | Q16 | — | 2 | 4 | no | — |
| 770 | Q16 | — | 4 | 2 | no | — |
| 771 | SD16 | — | 4 | 24 | no | — |
| 772 | D8 | — | 2 | 12 | no | — |
| 773 | D8 | — | 4 | 6 | no | — |
| 774 | D8 | — | 4 | 24 | no | — |
| 775 | M16 | — | 2 | 6 | no | — |
| 776 | M16 | #12062 | 1 | 12 | yes | — |
| 777 | C2×C8 | — | 2 | 6 | no | — |
| 778 | C2×C8 | — | 2 | 2 | no | — |
| 779 | C2×C8 | — | 2 | 6 | no | — |
| 780 | C2×C8 | — | 8 | 6 | no | — |
| 781 | C2×C8 | — | 8 | 2 | no | — |
| 782 | C2×C8 | — | 8 | 6 | no | — |
| 783 | C2×C8 | — | 16 | 6 | no | — |
| 784 | C2×C8 | — | 16 | 6 | no | — |
| 785 | C2×C8 | — | 32 | 6 | no | — |
| 786 | C2×C8 | — | 32 | 12 | no | — |
| 787 | C2×C8 | — | 32 | 6 | no | — |
| 788 | C2×C8 | C2×#1580 | 1 | 3 | yes | — |
| 789 | C2×C8 | C2×#1580 | 1 | 3 | yes | — |
| 790 | C2×C8 | C2×D4×C16 | 1 | 6 | yes | — |
| 791 | C2×C8 | C2×#2171 | 1 | 6 | yes | — |
| 792 | C2×C8 | C22×C8×D4 | 1 | 1 | yes | characteristic |
| 793 | C2×C8 | C22×#444 | 1 | 1 | yes | characteristic |
| 794 | C4⋊C4 | — | 4 | 2 | no | — |
| 795 | C4⋊C4 | — | 4 | 6 | no | — |
| 796 | C4⋊C4 | — | 8 | 6 | no | — |
| 797 | C4⋊C4 | — | 8 | 6 | no | — |
| 798 | C4⋊C4 | — | 8 | 2 | no | — |
| 799 | C4⋊C4 | #12067 | 1 | 6 | yes | — |
| 800 | C22⋊C4 | — | 8 | 6 | no | — |
| 801 | C22⋊C4 | — | 8 | 6 | no | — |
| 802 | C22⋊C4 | — | 8 | 12 | no | — |
| 803 | C22⋊C4 | — | 8 | 6 | no | — |
| 804 | C22⋊C4 | #12067 | 1 | 6 | yes | — |
| 805 | C42 | — | 8 | 6 | no | — |
| 806 | C42 | — | 8 | 6 | no | — |
| 807 | C42 | — | 8 | 2 | no | — |
| 808 | C42 | C2×#1580 | 1 | 3 | yes | — |
| 809 | C42 | C2×AGL(1,ℤ/16) | 1 | 6 | yes | — |
| 810 | C42 | C22×#442 | 1 | 1 | yes | characteristic |
| 811 | C16 | — | 2 | 1 | no | — |
| 812 | C16 | — | 2 | 3 | no | — |
| 813 | C16 | — | 4 | 1 | no | — |
| 814 | C16 | — | 4 | 3 | no | — |
| 815 | C16 | — | 8 | 2 | no | — |
| 816 | C16 | — | 8 | 6 | no | — |
| 817 | C16 | — | 16 | 6 | no | — |
| 818 | C16 | — | 16 | 2 | no | — |
| 819 | C16 | C2×D4×C16 | 1 | 6 | yes | — |
| 820 | C16 | C24×C16 | 1 | 1 | yes | characteristic |
| 821 | C16 | C22×#504 | 1 | 1 | yes | characteristic |
| 822 | C23 | — | 8 | 6 | no | — |
| 823 | C23 | — | 8 | 24 | no | — |
| 824 | C23 | — | 32 | 6 | no | — |
| 825 | C23 | — | 32 | 6 | no | — |
| 826 | C23 | C2×#12067 | 1 | 3 | yes | — |
| 827 | Q8 | — | 4 | 4 | no | — |
| 828 | Q8 | — | 8 | 2 | no | — |
| 829 | Q8 | #122963 | 1 | 4 | yes | — |
| 830 | D4 | — | 4 | 12 | no | — |
| 831 | D4 | — | 8 | 24 | no | — |
| 832 | D4 | — | 8 | 24 | no | — |
| 833 | D4 | — | 8 | 6 | no | — |
| 834 | D4 | #122963 | 1 | 12 | yes | — |
| 835 | C2×C4 | — | 4 | 6 | no | — |
| 836 | C2×C4 | — | 8 | 2 | no | — |
| 837 | C2×C4 | — | 8 | 24 | no | — |
| 838 | C2×C4 | — | 8 | 2 | no | — |
| 839 | C2×C4 | — | 8 | 6 | no | — |
| 840 | C2×C4 | — | 16 | 6 | no | — |
| 841 | C2×C4 | — | 16 | 6 | no | — |
| 842 | C2×C4 | — | 32 | 6 | no | — |
| 843 | C2×C4 | — | 32 | 12 | no | — |
| 844 | C2×C4 | — | 32 | 6 | no | — |
| 845 | C2×C4 | C2×#12062 | 1 | 6 | yes | — |
| 846 | C2×C4 | C2×#12067 | 1 | 6 | yes | — |
| 847 | C2×C4 | C2×#12067 | 1 | 3 | yes | — |
| 848 | C2×C4 | C2×#12068 | 1 | 6 | yes | — |
| 849 | C2×C4 | C22×#1580 | 1 | 1 | yes | characteristic |
| 850 | C2×C4 | C22×AGL(1,ℤ/16) | 1 | 2 | yes | — |
| 851 | C8 | — | 2 | 1 | no | — |
| 852 | C8 | — | 2 | 3 | no | — |
| 853 | C8 | — | 4 | 2 | no | — |
| 854 | C8 | — | 4 | 6 | no | — |
| 855 | C8 | — | 16 | 6 | no | — |
| 856 | C8 | — | 16 | 2 | no | — |
| 857 | C8 | C2×#12062 | 1 | 6 | yes | — |
| 858 | C8 | C22×D4×C16 | 1 | 1 | yes | characteristic |
| 859 | C8 | C22×#2171 | 1 | 1 | yes | characteristic |
| 860 | C22 | — | 2 | 6 | no | — |
| 861 | C22 | — | 8 | 12 | no | — |
| 862 | C22 | — | 16 | 6 | no | — |
| 863 | C22 | — | 16 | 6 | no | — |
| 864 | C22 | — | 32 | 24 | no | — |
| 865 | C22 | C22×#12067 | 1 | 1 | yes | characteristic |
| 866 | C22 | C2×#122963 | 1 | 6 | yes | — |
| 867 | C4 | — | 2 | 2 | no | — |
| 868 | C4 | — | 2 | 6 | no | — |
| 869 | C4 | — | 8 | 4 | no | — |
| 870 | C4 | — | 16 | 6 | no | — |
| 871 | C4 | — | 16 | 2 | no | — |
| 872 | C4 | C22×#12068 | 1 | 1 | yes | characteristic |
| 873 | C4 | C2×#122963 | 1 | 6 | yes | — |
| 874 | C4 | C22×#12062 | 1 | 1 | yes | characteristic |
| 875 | C2 | — | 2 | 6 | no | — |
| 876 | C2 | — | 16 | 12 | no | — |
| 877 | C2 | #72225087 | 1 | 2 | yes | — |
| 878 | C2 | C22×#122963 | 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