← #72269953
Subgroups — #72269953
Order 1536.
1890 conjugacy classes of subgroups.
The subgroup lattice has 958 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10948320 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10795562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10711510 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10711505 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10711317 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10711303 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10710884 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #10710874 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #10710471 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10710457 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C3×#60176 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #494058 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C2×C3×#576 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×C4×H(5,𝔽2) | — | 2 | 1 | no | — |
| 15 | C3×#2952 | C4 | 1 | 2 | yes | complemented |
| 16 | C3×#2952 | C22 | 1 | 1 | yes | characteristic |
| 17 | C3×#2948 | C4 | 1 | 2 | yes | complemented |
| 18 | C3×#2948 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#2946 | — | 2 | 1 | no | — |
| 20 | C3×#2946 | — | 2 | 2 | no | — |
| 21 | C3×C4×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 22 | C3×C4×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 23 | C3×#2943 | C4 | 1 | 2 | yes | complemented |
| 24 | C3×#2943 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C3×#442 | C4 | 1 | 2 | yes | complemented |
| 26 | C2×C3×#442 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#2912 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×#2897 | — | 2 | 1 | no | — |
| 29 | C3×#2875 | C22 | 1 | 1 | yes | characteristic |
| 30 | #72080 | C22 | 1 | 2 | yes | — |
| 31 | #72076 | C22 | 1 | 2 | yes | — |
| 32 | C2×#4563 | C22 | 1 | 2 | yes | — |
| 33 | #72033 | C22 | 1 | 2 | yes | — |
| 34 | #72014 | C22 | 1 | 1 | yes | characteristic |
| 35 | #72012 | C22 | 1 | 1 | yes | characteristic |
| 36 | #72011 | — | 2 | 1 | no | — |
| 37 | #72007 | C22 | 1 | 1 | yes | characteristic |
| 38 | #72007 | C22 | 1 | 1 | yes | characteristic |
| 39 | #71644 | — | 2 | 1 | no | — |
| 40 | #69896 | C22 | 1 | 2 | yes | complemented |
| 41 | #69895 | — | 2 | 1 | no | — |
| 42 | #69886 | — | 2 | 2 | no | — |
| 43 | #69885 | C22 | 1 | 2 | yes | complemented |
| 44 | #69871 | — | 2 | 1 | no | — |
| 45 | #69864 | — | 2 | 2 | no | — |
| 46 | #69829 | C22 | 1 | 2 | yes | complemented |
| 47 | C2×#4466 | C22 | 1 | 2 | yes | complemented |
| 48 | #67727 | C22 | 1 | 2 | yes | complemented |
| 49 | #67725 | C22 | 1 | 2 | yes | complemented |
| 50 | #67721 | C22 | 1 | 2 | yes | complemented |
| 51 | #67720 | C22 | 1 | 2 | yes | complemented |
| 52 | #60176 | D3 | 1 | 1 | yes | characteristic |
| 53 | #33426 | — | 3 | 1 | no | — |
| 54 | #20788 | — | 3 | 1 | no | — |
| 55 | #12874 | — | 3 | 1 | no | — |
| 56 | #12873 | — | 3 | 1 | no | — |
| 57 | #12828 | — | 3 | 2 | no | — |
| 58 | #12826 | — | 3 | 2 | no | — |
| 59 | #12743 | — | 3 | 1 | no | — |
| 60 | #12741 | — | 3 | 1 | no | — |
| 61 | #12649 | — | 3 | 2 | no | — |
| 62 | #12647 | — | 3 | 2 | no | — |
| 63 | C2×C3×H(5,𝔽2) | — | 2 | 1 | no | — |
| 64 | C3×#576 | — | 2 | 4 | no | — |
| 65 | C3×#576 | — | 2 | 4 | no | — |
| 66 | C2×C3×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 67 | C2×C3×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 68 | C2×C3×#135 | C2×C4 | 1 | 2 | yes | — |
| 69 | C2×C3×#135 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×C3×D8 | C2×C4 | 1 | 2 | yes | — |
| 71 | C22×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×C3×#131 | D4 | 1 | 1 | yes | characteristic |
| 73 | C2×C3×#131 | C23 | 1 | 1 | yes | characteristic |
| 74 | C3×#520 | — | 2 | 1 | no | — |
| 75 | C3×#520 | — | 2 | 2 | no | — |
| 76 | C3×#520 | — | 2 | 1 | no | — |
| 77 | C3×#520 | — | 4 | 1 | no | — |
| 78 | C3×#518 | — | 2 | 2 | no | — |
| 79 | C3×#518 | — | 2 | 1 | no | — |
| 80 | C3×#518 | — | 4 | 2 | no | — |
| 81 | C3×#518 | — | 4 | 1 | no | — |
| 82 | C3×C4×#41 | — | 2 | 2 | no | — |
| 83 | C3×C4×#41 | — | 2 | 1 | no | — |
| 84 | C3×C4×#41 | — | 4 | 1 | no | — |
| 85 | C3×C4×#41 | D4 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×C4×D4 | — | 2 | 2 | no | — |
| 87 | C2×C3×C4×D4 | — | 2 | 1 | no | — |
| 88 | C2×C3×C4×D4 | — | 4 | 1 | no | — |
| 89 | C2×C3×C4×D4 | — | 4 | 2 | no | — |
| 90 | C3×#442 | — | 2 | 2 | no | — |
| 91 | C3×#442 | — | 2 | 2 | no | — |
| 92 | C3×#442 | — | 2 | 1 | no | — |
| 93 | C3×#442 | — | 2 | 1 | no | — |
| 94 | C3×#442 | C2×C4 | 1 | 1 | yes | characteristic |
| 95 | C3×#442 | C2×C4 | 1 | 2 | yes | — |
| 96 | C3×#442 | C2×C4 | 1 | 2 | yes | — |
| 97 | C3×#442 | C2×C4 | 1 | 2 | yes | — |
| 98 | C3×#442 | C2×C4 | 1 | 2 | yes | — |
| 99 | C3×#442 | C2×C4 | 1 | 2 | yes | — |
| 100 | C3×#442 | C2×C4 | 1 | 1 | yes | characteristic |
| 101 | C3×#441 | C2×C4 | 1 | 1 | yes | characteristic |
| 102 | C3×#441 | C2×C4 | 1 | 2 | yes | — |
| 103 | C3×#441 | C2×C4 | 1 | 1 | yes | characteristic |
| 104 | C3×#440 | — | 2 | 2 | no | — |
| 105 | C3×#440 | — | 2 | 2 | no | — |
| 106 | C3×#440 | — | 2 | 1 | no | — |
| 107 | C3×#440 | — | 2 | 1 | no | — |
| 108 | C3×C4×SD16 | — | 2 | 2 | no | — |
| 109 | C3×C4×SD16 | — | 2 | 2 | no | — |
| 110 | C3×C4×SD16 | — | 2 | 2 | no | — |
| 111 | C3×C4×D8 | — | 2 | 2 | no | — |
| 112 | C3×C4×D8 | — | 2 | 2 | no | — |
| 113 | C3×C4×D8 | — | 2 | 2 | no | — |
| 114 | C3×#428 | — | 2 | 1 | no | — |
| 115 | C3×#428 | — | 2 | 2 | no | — |
| 116 | C3×#427 | C2×C4 | 1 | 2 | yes | — |
| 117 | C3×#427 | C23 | 1 | 1 | yes | characteristic |
| 118 | C2×C3×#106 | C2×C4 | 1 | 2 | yes | — |
| 119 | C2×C3×#106 | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×#418 | — | 2 | 2 | no | — |
| 121 | C3×#418 | — | 2 | 1 | no | — |
| 122 | C3×#417 | — | 2 | 2 | no | — |
| 123 | C3×#417 | — | 2 | 1 | no | — |
| 124 | C3×#416 | — | 2 | 2 | no | — |
| 125 | C3×#416 | — | 2 | 1 | no | — |
| 126 | C2×C3×#102 | — | 2 | 2 | no | — |
| 127 | C2×C3×#102 | — | 2 | 1 | no | — |
| 128 | C3×#405 | C2×C4 | 1 | 2 | yes | — |
| 129 | C3×#405 | D4 | 1 | 1 | yes | characteristic |
| 130 | C3×#405 | D4 | 1 | 2 | yes | — |
| 131 | C3×#405 | C23 | 1 | 1 | yes | characteristic |
| 132 | C3×C4×M16 | D4 | 1 | 1 | yes | characteristic |
| 133 | C3×C4×M16 | D4 | 1 | 2 | yes | — |
| 134 | C2×C3×#97 | C2×C4 | 1 | 2 | yes | — |
| 135 | C2×C3×#97 | C23 | 1 | 1 | yes | characteristic |
| 136 | #5240 | — | 2 | 1 | no | — |
| 137 | #5237 | — | 2 | 1 | no | — |
| 138 | C2×#819 | C23 | 1 | 2 | yes | — |
| 139 | #5106 | C23 | 1 | 2 | yes | — |
| 140 | #5101 | — | 2 | 2 | no | — |
| 141 | C2×#812 | C23 | 1 | 2 | yes | — |
| 142 | C2×#812 | C23 | 1 | 2 | yes | — |
| 143 | #4567 | — | 2 | 4 | no | — |
| 144 | #4566 | — | 2 | 4 | no | — |
| 145 | #4563 | — | 2 | 4 | no | — |
| 146 | #4562 | — | 2 | 4 | no | — |
| 147 | C3⋊#338 | — | 2 | 1 | no | — |
| 148 | #4557 | — | 2 | 1 | no | — |
| 149 | #4556 | — | 2 | 2 | no | — |
| 150 | #4553 | — | 2 | 2 | no | — |
| 151 | #4553 | — | 2 | 2 | no | — |
| 152 | #4531 | — | 2 | 2 | no | — |
| 153 | #4523 | — | 2 | 2 | no | — |
| 154 | #4466 | — | 2 | 2 | no | — |
| 155 | #4466 | — | 2 | 2 | no | — |
| 156 | #4463 | — | 2 | 4 | no | — |
| 157 | C2×#576 | C2×D3 | 1 | 1 | yes | characteristic |
| 158 | C4×H(5,𝔽2) | — | 2 | 1 | no | — |
| 159 | #2952 | Dic3 | 1 | 2 | yes | complemented |
| 160 | #2952 | C2×D3 | 1 | 1 | yes | characteristic |
| 161 | #2948 | Dic3 | 1 | 2 | yes | complemented |
| 162 | #2948 | C2×D3 | 1 | 1 | yes | characteristic |
| 163 | #2946 | — | 2 | 2 | no | — |
| 164 | #2946 | — | 2 | 1 | no | — |
| 165 | C4×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 166 | C4×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 167 | #2943 | Dic3 | 1 | 2 | yes | complemented |
| 168 | #2943 | C2×D3 | 1 | 1 | yes | characteristic |
| 169 | C2×#442 | Dic3 | 1 | 2 | yes | complemented |
| 170 | C2×#442 | C2×D3 | 1 | 1 | yes | characteristic |
| 171 | #2912 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | #2897 | — | 2 | 1 | no | — |
| 173 | #2875 | C2×D3 | 1 | 1 | yes | characteristic |
| 174 | #2166 | — | 6 | 2 | no | — |
| 175 | #2165 | — | 6 | 2 | no | — |
| 176 | #2153 | — | 3 | 2 | no | — |
| 177 | C2×#361 | — | 3 | 2 | no | — |
| 178 | #2145 | — | 3 | 2 | no | — |
| 179 | #2143 | — | 3 | 2 | no | — |
| 180 | #2140 | — | 3 | 2 | no | — |
| 181 | #2115 | — | 3 | 1 | no | — |
| 182 | #2115 | — | 3 | 1 | no | — |
| 183 | C2×#347 | — | 3 | 2 | no | — |
| 184 | #1841 | — | 6 | 1 | no | — |
| 185 | #1833 | — | 3 | 2 | no | — |
| 186 | #1827 | — | 6 | 1 | no | — |
| 187 | #1813 | — | 3 | 1 | no | — |
| 188 | #1812 | — | 3 | 1 | no | — |
| 189 | #1773 | — | 3 | 2 | no | — |
| 190 | #1757 | — | 6 | 1 | no | — |
| 191 | #1747 | — | 6 | 1 | no | — |
| 192 | #1389 | — | 3 | 2 | no | — |
| 193 | #1386 | — | 3 | 2 | no | — |
| 194 | #1384 | — | 3 | 2 | no | — |
| 195 | #1383 | — | 3 | 2 | no | — |
| 196 | C3×H(5,𝔽2) | — | 2 | 8 | no | — |
| 197 | C3×H(5,𝔽2) | — | 4 | 4 | no | — |
| 198 | C2×C3×#41 | — | 2 | 2 | no | — |
| 199 | C2×C3×#41 | — | 2 | 1 | no | — |
| 200 | C2×C3×#41 | — | 4 | 1 | no | — |
| 201 | C2×C3×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C22×C3×D4 | — | 2 | 2 | no | — |
| 203 | C22×C3×D4 | — | 2 | 1 | no | — |
| 204 | C22×C3×D4 | — | 4 | 1 | no | — |
| 205 | C22×C3×D4 | — | 4 | 2 | no | — |
| 206 | C23×C3×C4 | — | 4 | 1 | no | — |
| 207 | C23×C3×C4 | — | 4 | 2 | no | — |
| 208 | C3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 209 | C3×AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 210 | C3×#135 | — | 2 | 4 | no | — |
| 211 | C3×#135 | — | 2 | 4 | no | — |
| 212 | C3×#135 | — | 2 | 2 | no | — |
| 213 | C3×#135 | #41 | 1 | 4 | yes | — |
| 214 | C2×C3×Q16 | C22×C4 | 1 | 1 | yes | characteristic |
| 215 | C2×C3×SD16 | — | 2 | 2 | no | — |
| 216 | C2×C3×SD16 | — | 2 | 1 | no | — |
| 217 | C2×C3×D8 | — | 2 | 4 | no | — |
| 218 | C2×C3×D8 | — | 2 | 4 | no | — |
| 219 | C2×C3×D8 | — | 2 | 2 | no | — |
| 220 | C2×C3×D8 | — | 2 | 1 | no | — |
| 221 | C2×C3×D8 | — | 2 | 2 | no | — |
| 222 | C2×C3×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 223 | C2×C3×D8 | C22×C4 | 1 | 2 | yes | — |
| 224 | C2×C3×D8 | #41 | 1 | 4 | yes | — |
| 225 | C3×#131 | — | 2 | 2 | no | — |
| 226 | C3×#131 | — | 2 | 2 | no | — |
| 227 | C3×#131 | — | 4 | 2 | no | — |
| 228 | C2×C3×M16 | C22⋊C4 | 1 | 2 | yes | — |
| 229 | C2×C3×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×C3×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | C2×C3×M16 | C2×D4 | 1 | 2 | yes | — |
| 232 | C22×C3×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 233 | C22×C3×C8 | C22×C4 | 1 | 2 | yes | — |
| 234 | C22×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C22×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 236 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 237 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 238 | C3×C4×Q8 | — | 2 | 2 | no | — |
| 239 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 240 | C3×C4×Q8 | — | 4 | 1 | no | — |
| 241 | C3×C4×D4 | — | 2 | 1 | no | — |
| 242 | C3×C4×D4 | — | 2 | 2 | no | — |
| 243 | C3×C4×D4 | — | 2 | 1 | no | — |
| 244 | C3×C4×D4 | — | 2 | 2 | no | — |
| 245 | C3×C4×D4 | — | 2 | 2 | no | — |
| 246 | C3×C4×D4 | — | 2 | 2 | no | — |
| 247 | C3×C4×D4 | — | 2 | 2 | no | — |
| 248 | C3×C4×D4 | — | 2 | 2 | no | — |
| 249 | C3×C4×D4 | — | 2 | 1 | no | — |
| 250 | C3×C4×D4 | — | 4 | 1 | no | — |
| 251 | C3×C4×D4 | — | 4 | 2 | no | — |
| 252 | C3×C4×D4 | — | 4 | 1 | no | — |
| 253 | C3×C4×D4 | — | 4 | 2 | no | — |
| 254 | C3×C4×D4 | — | 4 | 2 | no | — |
| 255 | C3×C4×D4 | — | 4 | 2 | no | — |
| 256 | C3×C4×D4 | — | 4 | 2 | no | — |
| 257 | C3×C4×D4 | — | 4 | 1 | no | — |
| 258 | C3×C4×D4 | — | 4 | 2 | no | — |
| 259 | C3×C4×D4 | — | 4 | 1 | no | — |
| 260 | C3×C4×D4 | — | 4 | 2 | no | — |
| 261 | C3×C4×D4 | — | 4 | 1 | no | — |
| 262 | C3×C4×D4 | — | 4 | 2 | no | — |
| 263 | C3×C4×D4 | — | 4 | 1 | no | — |
| 264 | C3×C4×D4 | — | 4 | 2 | no | — |
| 265 | C3×C4×D4 | — | 4 | 1 | no | — |
| 266 | C3×C4×D4 | — | 4 | 2 | no | — |
| 267 | C3×#117 | — | 2 | 2 | no | — |
| 268 | C3×#117 | — | 2 | 1 | no | — |
| 269 | C3×#117 | — | 4 | 1 | no | — |
| 270 | C3×#117 | — | 4 | 2 | no | — |
| 271 | C3×#117 | — | 4 | 1 | no | — |
| 272 | C3×#117 | — | 4 | 2 | no | — |
| 273 | C3×#117 | C22⋊C4 | 1 | 2 | yes | — |
| 274 | C3×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C2×C3×C4⋊C4 | — | 2 | 2 | no | — |
| 276 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 277 | C2×C3×C4⋊C4 | — | 4 | 1 | no | — |
| 278 | C2×C3×C4⋊C4 | — | 4 | 2 | no | — |
| 279 | C2×C3×C22⋊C4 | — | 4 | 2 | no | — |
| 280 | C2×C3×C22⋊C4 | — | 4 | 2 | no | — |
| 281 | C2×C3×C22⋊C4 | — | 4 | 2 | no | — |
| 282 | C2×C3×C22⋊C4 | — | 4 | 1 | no | — |
| 283 | C2×C3×C22⋊C4 | — | 4 | 2 | no | — |
| 284 | C2×C3×C42 | — | 4 | 1 | no | — |
| 285 | C2×C3×C42 | — | 4 | 2 | no | — |
| 286 | C2×C3×C42 | C22⋊C4 | 1 | 2 | yes | — |
| 287 | C2×C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | #926 | — | 2 | 2 | no | — |
| 289 | C2×#208 | — | 2 | 2 | no | — |
| 290 | C3×#107 | — | 2 | 2 | no | — |
| 291 | C3×#107 | — | 2 | 1 | no | — |
| 292 | C3×#106 | — | 2 | 2 | no | — |
| 293 | C3×#106 | — | 2 | 1 | no | — |
| 294 | C3×#106 | C22×C4 | 1 | 1 | yes | characteristic |
| 295 | C3×#106 | C22×C4 | 1 | 2 | yes | — |
| 296 | C3×#106 | C22×C4 | 1 | 1 | yes | characteristic |
| 297 | C3×#103 | — | 2 | 1 | no | — |
| 298 | C3×#103 | — | 2 | 1 | no | — |
| 299 | C3×#103 | — | 2 | 2 | no | — |
| 300 | C3×#102 | — | 2 | 1 | no | — |
| 301 | C3×#102 | — | 2 | 2 | no | — |
| 302 | C3×#102 | — | 2 | 2 | no | — |
| 303 | C3×#102 | — | 2 | 2 | no | — |
| 304 | C3×#102 | — | 2 | 2 | no | — |
| 305 | C3×#102 | — | 2 | 1 | no | — |
| 306 | C3×#102 | — | 2 | 2 | no | — |
| 307 | C3×#97 | C22⋊C4 | 1 | 2 | yes | — |
| 308 | C3×#97 | C22⋊C4 | 1 | 2 | yes | — |
| 309 | C3×#97 | C22×C4 | 1 | 1 | yes | characteristic |
| 310 | C3×#97 | C22×C4 | 1 | 2 | yes | — |
| 311 | C3×#97 | C22×C4 | 1 | 1 | yes | characteristic |
| 312 | C3×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 313 | C3×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 314 | C3×C4×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 315 | C3×C4×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 316 | C3×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 317 | #836 | — | 4 | 1 | no | — |
| 318 | #834 | — | 4 | 2 | no | — |
| 319 | #833 | — | 4 | 1 | no | — |
| 320 | #819 | — | 2 | 2 | no | — |
| 321 | #819 | — | 2 | 2 | no | — |
| 322 | #818 | — | 2 | 2 | no | — |
| 323 | #817 | — | 2 | 2 | no | — |
| 324 | #815 | — | 4 | 2 | no | — |
| 325 | C8×Dic3 | — | 4 | 2 | no | — |
| 326 | #812 | — | 2 | 2 | no | — |
| 327 | #812 | — | 2 | 2 | no | — |
| 328 | #812 | — | 2 | 2 | no | — |
| 329 | #812 | — | 2 | 2 | no | — |
| 330 | C2×C3⋊C16 | — | 2 | 2 | no | — |
| 331 | C2×C3⋊C16 | — | 2 | 2 | no | — |
| 332 | C2×H(5,𝔽2) | — | 2 | 1 | no | — |
| 333 | #576 | — | 2 | 4 | no | — |
| 334 | #576 | — | 2 | 4 | no | — |
| 335 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 336 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 337 | C2×#135 | C2×Dic3 | 1 | 2 | yes | — |
| 338 | C2×#135 | C22×D3 | 1 | 1 | yes | characteristic |
| 339 | C22×D8 | C2×Dic3 | 1 | 2 | yes | — |
| 340 | C22×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 341 | C2×#131 | #67 | 1 | 1 | yes | characteristic |
| 342 | C2×#131 | C22×D3 | 1 | 1 | yes | characteristic |
| 343 | #520 | — | 2 | 1 | no | — |
| 344 | #520 | — | 2 | 2 | no | — |
| 345 | #520 | — | 2 | 1 | no | — |
| 346 | #520 | — | 4 | 1 | no | — |
| 347 | #518 | — | 2 | 2 | no | — |
| 348 | #518 | — | 2 | 1 | no | — |
| 349 | #518 | — | 4 | 1 | no | — |
| 350 | #518 | — | 4 | 2 | no | — |
| 351 | C4×#41 | — | 2 | 2 | no | — |
| 352 | C4×#41 | — | 2 | 1 | no | — |
| 353 | C4×#41 | — | 4 | 1 | no | — |
| 354 | C4×#41 | #67 | 1 | 1 | yes | characteristic |
| 355 | C2×C4×D4 | — | 2 | 2 | no | — |
| 356 | C2×C4×D4 | — | 2 | 1 | no | — |
| 357 | C2×C4×D4 | — | 4 | 2 | no | — |
| 358 | C2×C4×D4 | — | 4 | 1 | no | — |
| 359 | C2×M32 | — | 3 | 2 | no | — |
| 360 | C2×M32 | — | 3 | 2 | no | — |
| 361 | #442 | — | 2 | 2 | no | — |
| 362 | #442 | — | 2 | 2 | no | — |
| 363 | #442 | — | 2 | 1 | no | — |
| 364 | #442 | — | 2 | 1 | no | — |
| 365 | #442 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 366 | #442 | C2×Dic3 | 1 | 2 | yes | — |
| 367 | #442 | C2×Dic3 | 1 | 2 | yes | — |
| 368 | #442 | C2×Dic3 | 1 | 2 | yes | — |
| 369 | #442 | C2×Dic3 | 1 | 2 | yes | — |
| 370 | #442 | C2×Dic3 | 1 | 2 | yes | — |
| 371 | #442 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 372 | #441 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 373 | #441 | C2×Dic3 | 1 | 2 | yes | — |
| 374 | #441 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 375 | #440 | — | 2 | 2 | no | — |
| 376 | #440 | — | 2 | 2 | no | — |
| 377 | #440 | — | 2 | 1 | no | — |
| 378 | #440 | — | 2 | 1 | no | — |
| 379 | C4×SD16 | — | 2 | 2 | no | — |
| 380 | C4×SD16 | — | 2 | 2 | no | — |
| 381 | C4×SD16 | — | 2 | 2 | no | — |
| 382 | C4×D8 | — | 2 | 2 | no | — |
| 383 | C4×D8 | — | 2 | 2 | no | — |
| 384 | C4×D8 | — | 2 | 2 | no | — |
| 385 | C2×#108 | — | 3 | 2 | no | — |
| 386 | #428 | — | 2 | 1 | no | — |
| 387 | #428 | — | 2 | 2 | no | — |
| 388 | #427 | — | 3 | 2 | no | — |
| 389 | #427 | C2×Dic3 | 1 | 2 | yes | — |
| 390 | #427 | C22×D3 | 1 | 1 | yes | characteristic |
| 391 | C2×#106 | C2×Dic3 | 1 | 2 | yes | — |
| 392 | C2×#106 | C22×D3 | 1 | 1 | yes | characteristic |
| 393 | #418 | — | 2 | 2 | no | — |
| 394 | #418 | — | 2 | 1 | no | — |
| 395 | #417 | — | 2 | 2 | no | — |
| 396 | #417 | — | 2 | 1 | no | — |
| 397 | #416 | — | 2 | 2 | no | — |
| 398 | #416 | — | 2 | 1 | no | — |
| 399 | C2×#102 | — | 2 | 2 | no | — |
| 400 | C2×#102 | — | 2 | 1 | no | — |
| 401 | #413 | — | 6 | 1 | no | — |
| 402 | #410 | — | 6 | 1 | no | — |
| 403 | #405 | — | 6 | 2 | no | — |
| 404 | #405 | C2×Dic3 | 1 | 2 | yes | — |
| 405 | #405 | #67 | 1 | 1 | yes | characteristic |
| 406 | #405 | #67 | 1 | 2 | yes | — |
| 407 | #405 | C22×D3 | 1 | 1 | yes | characteristic |
| 408 | C4×M16 | #67 | 1 | 1 | yes | characteristic |
| 409 | C4×M16 | #67 | 1 | 2 | yes | — |
| 410 | C2×#97 | C2×Dic3 | 1 | 2 | yes | — |
| 411 | C2×#97 | C22×D3 | 1 | 1 | yes | characteristic |
| 412 | #364 | — | 6 | 4 | no | — |
| 413 | #361 | — | 6 | 4 | no | — |
| 414 | #360 | — | 6 | 4 | no | — |
| 415 | #359 | — | 6 | 4 | no | — |
| 416 | #357 | — | 6 | 4 | no | — |
| 417 | #349 | — | 6 | 2 | no | — |
| 418 | #349 | — | 6 | 2 | no | — |
| 419 | #347 | — | 6 | 2 | no | — |
| 420 | #347 | — | 6 | 2 | no | — |
| 421 | #344 | — | 6 | 2 | no | — |
| 422 | #339 | — | 6 | 2 | no | — |
| 423 | #338 | — | 6 | 1 | no | — |
| 424 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 425 | H(3,ℤ/4) | — | 6 | 2 | no | — |
| 426 | C24×C3 | — | 4 | 1 | no | — |
| 427 | C24×C3 | — | 4 | 2 | no | — |
| 428 | C3×#41 | — | 2 | 2 | no | — |
| 429 | C3×#41 | — | 2 | 2 | no | — |
| 430 | C3×#41 | — | 2 | 8 | no | — |
| 431 | C3×#41 | — | 2 | 4 | no | — |
| 432 | C3×#41 | — | 4 | 4 | no | — |
| 433 | C3×#41 | — | 4 | 8 | no | — |
| 434 | C3×#41 | — | 4 | 2 | no | — |
| 435 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 436 | C2×C3×Q8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 437 | C2×C3×D4 | — | 2 | 8 | no | — |
| 438 | C2×C3×D4 | — | 2 | 1 | no | — |
| 439 | C2×C3×D4 | — | 2 | 2 | no | — |
| 440 | C2×C3×D4 | — | 2 | 4 | no | — |
| 441 | C2×C3×D4 | — | 4 | 4 | no | — |
| 442 | C2×C3×D4 | — | 4 | 16 | no | — |
| 443 | C2×C3×D4 | — | 4 | 8 | no | — |
| 444 | C2×C3×D4 | — | 4 | 1 | no | — |
| 445 | C2×C3×D4 | — | 4 | 2 | no | — |
| 446 | C2×C3×D4 | — | 4 | 1 | no | — |
| 447 | C2×C3×D4 | — | 4 | 2 | no | — |
| 448 | C2×C3×D4 | — | 4 | 2 | no | — |
| 449 | C2×C3×D4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 450 | C2×C3×D4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 451 | C22×C3×C4 | — | 2 | 1 | no | — |
| 452 | C22×C3×C4 | — | 2 | 2 | no | — |
| 453 | C22×C3×C4 | — | 4 | 1 | no | — |
| 454 | C22×C3×C4 | — | 4 | 2 | no | — |
| 455 | C22×C3×C4 | — | 4 | 1 | no | — |
| 456 | C22×C3×C4 | — | 4 | 2 | no | — |
| 457 | C22×C3×C4 | — | 4 | 2 | no | — |
| 458 | C22×C3×C4 | — | 4 | 2 | no | — |
| 459 | C22×C3×C4 | — | 4 | 2 | no | — |
| 460 | C22×C3×C4 | — | 4 | 1 | no | — |
| 461 | C22×C3×C4 | — | 4 | 2 | no | — |
| 462 | C22×C3×C4 | — | 4 | 1 | no | — |
| 463 | C22×C3×C4 | — | 4 | 2 | no | — |
| 464 | C22×C3×C4 | — | 16 | 2 | no | — |
| 465 | C22×C3×C4 | — | 16 | 4 | no | — |
| 466 | C22×C3×C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 467 | C22×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 468 | C3×Q16 | — | 2 | 1 | no | — |
| 469 | C3×Q16 | #117 | 1 | 2 | yes | — |
| 470 | C3×SD16 | — | 2 | 8 | no | — |
| 471 | C3×SD16 | — | 2 | 4 | no | — |
| 472 | C3×D8 | — | 2 | 8 | no | — |
| 473 | C3×D8 | — | 2 | 2 | no | — |
| 474 | C3×D8 | — | 2 | 1 | no | — |
| 475 | C3×D8 | — | 2 | 4 | no | — |
| 476 | C3×D8 | #117 | 1 | 2 | yes | — |
| 477 | C3×D8 | #117 | 1 | 4 | yes | — |
| 478 | C3×M16 | — | 2 | 2 | no | — |
| 479 | C3×M16 | — | 2 | 2 | no | — |
| 480 | C3×M16 | — | 2 | 4 | no | — |
| 481 | C3×M16 | — | 4 | 2 | no | — |
| 482 | C2×C3×C8 | — | 2 | 2 | no | — |
| 483 | C2×C3×C8 | — | 2 | 2 | no | — |
| 484 | C2×C3×C8 | — | 2 | 2 | no | — |
| 485 | C2×C3×C8 | — | 4 | 2 | no | — |
| 486 | C2×C3×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 487 | C2×C3×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 488 | C2×C3×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 489 | C2×C3×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 490 | C2×C3×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 491 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 492 | C2×C3×C8 | C2×#41 | 1 | 2 | yes | — |
| 493 | C2×C3×C8 | C2×#41 | 1 | 2 | yes | — |
| 494 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 495 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 496 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 497 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 498 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 499 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 500 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 501 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 502 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 503 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 504 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 505 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 506 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 507 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 508 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 509 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 510 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 511 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 512 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 513 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 514 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 515 | C3×C42 | — | 2 | 1 | no | — |
| 516 | C3×C42 | — | 2 | 2 | no | — |
| 517 | C3×C42 | — | 4 | 1 | no | — |
| 518 | C3×C42 | — | 4 | 1 | no | — |
| 519 | C3×C42 | — | 4 | 2 | no | — |
| 520 | C3×C42 | — | 4 | 1 | no | — |
| 521 | C3×C42 | — | 4 | 2 | no | — |
| 522 | C3×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 523 | C3×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 524 | C3×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 525 | #217 | — | 4 | 2 | no | — |
| 526 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 527 | C4×Dic3 | — | 4 | 2 | no | — |
| 528 | #208 | — | 4 | 2 | no | — |
| 529 | #208 | — | 4 | 2 | no | — |
| 530 | C2×C3⋊C8 | — | 4 | 2 | no | — |
| 531 | C3⋊C16 | — | 4 | 2 | no | — |
| 532 | C3⋊C16 | — | 4 | 2 | no | — |
| 533 | H(5,𝔽2) | — | 2 | 8 | no | — |
| 534 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 535 | C2×#41 | — | 2 | 2 | no | — |
| 536 | C2×#41 | — | 2 | 1 | no | — |
| 537 | C2×#41 | — | 4 | 1 | no | — |
| 538 | C2×#41 | C2×#67 | 1 | 1 | yes | characteristic |
| 539 | C22×D4 | — | 2 | 2 | no | — |
| 540 | C22×D4 | — | 2 | 1 | no | — |
| 541 | C22×D4 | — | 4 | 2 | no | — |
| 542 | C22×D4 | — | 4 | 1 | no | — |
| 543 | C23×C4 | — | 4 | 2 | no | — |
| 544 | C23×C4 | — | 4 | 1 | no | — |
| 545 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 546 | AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 547 | #135 | — | 2 | 4 | no | — |
| 548 | #135 | — | 2 | 4 | no | — |
| 549 | #135 | — | 2 | 2 | no | — |
| 550 | #135 | #235 | 1 | 4 | yes | — |
| 551 | C2×Q16 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 552 | C2×SD16 | — | 2 | 2 | no | — |
| 553 | C2×SD16 | — | 2 | 1 | no | — |
| 554 | C2×D8 | — | 2 | 4 | no | — |
| 555 | C2×D8 | — | 2 | 4 | no | — |
| 556 | C2×D8 | — | 2 | 2 | no | — |
| 557 | C2×D8 | — | 2 | 2 | no | — |
| 558 | C2×D8 | — | 2 | 1 | no | — |
| 559 | C2×D8 | #235 | 1 | 4 | yes | — |
| 560 | C2×D8 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 561 | C2×D8 | C22×Dic3 | 1 | 2 | yes | — |
| 562 | #131 | — | 2 | 2 | no | — |
| 563 | #131 | — | 2 | 2 | no | — |
| 564 | #131 | — | 4 | 2 | no | — |
| 565 | C2×M16 | — | 6 | 2 | no | — |
| 566 | C2×M16 | #217 | 1 | 2 | yes | — |
| 567 | C2×M16 | C2×#67 | 1 | 1 | yes | characteristic |
| 568 | C2×M16 | C2×#67 | 1 | 1 | yes | characteristic |
| 569 | C2×M16 | C2×#67 | 1 | 2 | yes | — |
| 570 | C22×C8 | #217 | 1 | 2 | yes | — |
| 571 | C22×C8 | C22×Dic3 | 1 | 2 | yes | — |
| 572 | C22×C8 | C2×#67 | 1 | 1 | yes | characteristic |
| 573 | C22×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 574 | C4×Q8 | — | 2 | 1 | no | — |
| 575 | C4×Q8 | — | 2 | 1 | no | — |
| 576 | C4×Q8 | — | 2 | 1 | no | — |
| 577 | C4×Q8 | — | 2 | 2 | no | — |
| 578 | C4×Q8 | — | 4 | 1 | no | — |
| 579 | C4×D4 | — | 2 | 2 | no | — |
| 580 | C4×D4 | — | 2 | 1 | no | — |
| 581 | C4×D4 | — | 2 | 1 | no | — |
| 582 | C4×D4 | — | 2 | 2 | no | — |
| 583 | C4×D4 | — | 2 | 2 | no | — |
| 584 | C4×D4 | — | 2 | 2 | no | — |
| 585 | C4×D4 | — | 2 | 2 | no | — |
| 586 | C4×D4 | — | 2 | 1 | no | — |
| 587 | C4×D4 | — | 2 | 2 | no | — |
| 588 | C4×D4 | — | 4 | 2 | no | — |
| 589 | C4×D4 | — | 4 | 1 | no | — |
| 590 | C4×D4 | — | 4 | 2 | no | — |
| 591 | C4×D4 | — | 4 | 1 | no | — |
| 592 | C4×D4 | — | 4 | 2 | no | — |
| 593 | C4×D4 | — | 4 | 2 | no | — |
| 594 | C4×D4 | — | 4 | 2 | no | — |
| 595 | C4×D4 | — | 4 | 2 | no | — |
| 596 | C4×D4 | — | 4 | 1 | no | — |
| 597 | C4×D4 | — | 4 | 2 | no | — |
| 598 | C4×D4 | — | 4 | 1 | no | — |
| 599 | C4×D4 | — | 4 | 2 | no | — |
| 600 | C4×D4 | — | 4 | 1 | no | — |
| 601 | C4×D4 | — | 4 | 2 | no | — |
| 602 | C4×D4 | — | 4 | 1 | no | — |
| 603 | C4×D4 | — | 4 | 2 | no | — |
| 604 | C4×D4 | — | 4 | 1 | no | — |
| 605 | #117 | — | 2 | 2 | no | — |
| 606 | #117 | — | 2 | 1 | no | — |
| 607 | #117 | — | 4 | 2 | no | — |
| 608 | #117 | — | 4 | 1 | no | — |
| 609 | #117 | — | 4 | 2 | no | — |
| 610 | #117 | — | 4 | 1 | no | — |
| 611 | #117 | — | 6 | 2 | no | — |
| 612 | #117 | #217 | 1 | 2 | yes | — |
| 613 | #117 | C2×#67 | 1 | 1 | yes | characteristic |
| 614 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 615 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 616 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 617 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 618 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 619 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 620 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 621 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 622 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 623 | C2×C42 | — | 4 | 2 | no | — |
| 624 | C2×C42 | — | 4 | 1 | no | — |
| 625 | C2×C42 | #217 | 1 | 2 | yes | — |
| 626 | C2×C42 | C2×#67 | 1 | 1 | yes | characteristic |
| 627 | M32 | — | 6 | 2 | no | — |
| 628 | M32 | — | 6 | 2 | no | — |
| 629 | M32 | — | 6 | 2 | no | — |
| 630 | M32 | — | 6 | 2 | no | — |
| 631 | C2×C16 | — | 6 | 2 | no | — |
| 632 | C2×C16 | — | 6 | 2 | no | — |
| 633 | #108 | — | 6 | 2 | no | — |
| 634 | #108 | — | 6 | 2 | no | — |
| 635 | #107 | — | 2 | 2 | no | — |
| 636 | #107 | — | 2 | 1 | no | — |
| 637 | #107 | — | 6 | 2 | no | — |
| 638 | #106 | — | 2 | 2 | no | — |
| 639 | #106 | — | 2 | 1 | no | — |
| 640 | #106 | — | 6 | 2 | no | — |
| 641 | #106 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 642 | #106 | C22×Dic3 | 1 | 2 | yes | — |
| 643 | #106 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 644 | #103 | — | 2 | 1 | no | — |
| 645 | #103 | — | 2 | 1 | no | — |
| 646 | #103 | — | 2 | 2 | no | — |
| 647 | #102 | — | 2 | 1 | no | — |
| 648 | #102 | — | 2 | 2 | no | — |
| 649 | #102 | — | 2 | 2 | no | — |
| 650 | #102 | — | 2 | 2 | no | — |
| 651 | #102 | — | 2 | 2 | no | — |
| 652 | #102 | — | 2 | 1 | no | — |
| 653 | #102 | — | 2 | 2 | no | — |
| 654 | #101 | — | 12 | 1 | no | — |
| 655 | #100 | — | 12 | 1 | no | — |
| 656 | #99 | — | 12 | 2 | no | — |
| 657 | #97 | — | 12 | 2 | no | — |
| 658 | #97 | #217 | 1 | 2 | yes | — |
| 659 | #97 | #217 | 1 | 2 | yes | — |
| 660 | #97 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 661 | #97 | C22×Dic3 | 1 | 2 | yes | — |
| 662 | #97 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 663 | #97 | C2×#67 | 1 | 1 | yes | characteristic |
| 664 | #97 | C2×#67 | 1 | 1 | yes | characteristic |
| 665 | C4×C8 | — | 12 | 2 | no | — |
| 666 | C4×C8 | #217 | 1 | 2 | yes | — |
| 667 | C4×C8 | #217 | 1 | 2 | yes | — |
| 668 | C4×C8 | C2×#67 | 1 | 2 | yes | — |
| 669 | C23×C3 | — | 4 | 8 | no | — |
| 670 | C23×C3 | — | 4 | 1 | no | — |
| 671 | C23×C3 | — | 4 | 2 | no | — |
| 672 | C23×C3 | — | 4 | 4 | no | — |
| 673 | C23×C3 | — | 16 | 1 | no | — |
| 674 | C23×C3 | — | 16 | 2 | no | — |
| 675 | C23×C3 | — | 16 | 1 | no | — |
| 676 | C23×C3 | — | 16 | 2 | no | — |
| 677 | C23×C3 | #418 | 1 | 2 | yes | — |
| 678 | C23×C3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 679 | C3×Q8 | — | 2 | 2 | no | — |
| 680 | C3×Q8 | — | 2 | 2 | no | — |
| 681 | C3×Q8 | — | 4 | 1 | no | — |
| 682 | C3×D4 | — | 2 | 4 | no | — |
| 683 | C3×D4 | — | 2 | 2 | no | — |
| 684 | C3×D4 | — | 2 | 2 | no | — |
| 685 | C3×D4 | — | 2 | 4 | no | — |
| 686 | C3×D4 | — | 4 | 8 | no | — |
| 687 | C3×D4 | — | 4 | 8 | no | — |
| 688 | C3×D4 | — | 4 | 4 | no | — |
| 689 | C3×D4 | — | 4 | 4 | no | — |
| 690 | C3×D4 | — | 4 | 1 | no | — |
| 691 | C3×D4 | — | 4 | 2 | no | — |
| 692 | C2×C3×C4 | — | 2 | 2 | no | — |
| 693 | C2×C3×C4 | — | 2 | 2 | no | — |
| 694 | C2×C3×C4 | — | 2 | 1 | no | — |
| 695 | C2×C3×C4 | — | 2 | 1 | no | — |
| 696 | C2×C3×C4 | — | 2 | 2 | no | — |
| 697 | C2×C3×C4 | — | 4 | 8 | no | — |
| 698 | C2×C3×C4 | — | 4 | 1 | no | — |
| 699 | C2×C3×C4 | — | 4 | 4 | no | — |
| 700 | C2×C3×C4 | — | 4 | 1 | no | — |
| 701 | C2×C3×C4 | — | 4 | 1 | no | — |
| 702 | C2×C3×C4 | — | 4 | 2 | no | — |
| 703 | C2×C3×C4 | — | 8 | 1 | no | — |
| 704 | C2×C3×C4 | — | 8 | 2 | no | — |
| 705 | C2×C3×C4 | — | 8 | 2 | no | — |
| 706 | C2×C3×C4 | — | 8 | 4 | no | — |
| 707 | C2×C3×C4 | — | 16 | 1 | no | — |
| 708 | C2×C3×C4 | — | 16 | 2 | no | — |
| 709 | C2×C3×C4 | — | 16 | 2 | no | — |
| 710 | C2×C3×C4 | — | 16 | 2 | no | — |
| 711 | C2×C3×C4 | — | 16 | 2 | no | — |
| 712 | C2×C3×C4 | — | 16 | 1 | no | — |
| 713 | C2×C3×C4 | — | 16 | 2 | no | — |
| 714 | C2×C3×C4 | #418 | 1 | 2 | yes | — |
| 715 | C2×C3×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 716 | C2×C3×C4 | #525 | 1 | 2 | yes | — |
| 717 | C2×C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 718 | C2×C3×C4 | #575 | 1 | 2 | yes | — |
| 719 | C2×Dic3 | — | 8 | 2 | no | — |
| 720 | C3×C8 | — | 2 | 1 | no | — |
| 721 | C3×C8 | — | 2 | 1 | no | — |
| 722 | C3×C8 | — | 2 | 2 | no | — |
| 723 | C3×C8 | — | 2 | 2 | no | — |
| 724 | C3×C8 | C2×#117 | 1 | 1 | yes | characteristic |
| 725 | C3×C8 | C2×#117 | 1 | 1 | yes | characteristic |
| 726 | C3×C8 | #525 | 1 | 2 | yes | — |
| 727 | C3⋊C8 | — | 8 | 2 | no | — |
| 728 | C24 | — | 4 | 2 | no | — |
| 729 | C24 | — | 4 | 1 | no | — |
| 730 | #41 | — | 2 | 2 | no | — |
| 731 | #41 | — | 2 | 2 | no | — |
| 732 | #41 | — | 2 | 8 | no | — |
| 733 | #41 | — | 2 | 4 | no | — |
| 734 | #41 | — | 4 | 4 | no | — |
| 735 | #41 | — | 4 | 8 | no | — |
| 736 | #41 | — | 4 | 2 | no | — |
| 737 | C2×Q8 | — | 2 | 1 | no | — |
| 738 | C2×Q8 | #932 | 1 | 1 | yes | characteristic |
| 739 | C2×D4 | — | 2 | 8 | no | — |
| 740 | C2×D4 | — | 2 | 4 | no | — |
| 741 | C2×D4 | — | 2 | 1 | no | — |
| 742 | C2×D4 | — | 2 | 2 | no | — |
| 743 | C2×D4 | — | 4 | 4 | no | — |
| 744 | C2×D4 | — | 4 | 16 | no | — |
| 745 | C2×D4 | — | 4 | 8 | no | — |
| 746 | C2×D4 | — | 4 | 2 | no | — |
| 747 | C2×D4 | — | 4 | 1 | no | — |
| 748 | C2×D4 | — | 4 | 2 | no | — |
| 749 | C2×D4 | — | 4 | 1 | no | — |
| 750 | C2×D4 | — | 4 | 2 | no | — |
| 751 | C2×D4 | #932 | 1 | 2 | yes | — |
| 752 | C2×D4 | #932 | 1 | 1 | yes | characteristic |
| 753 | C22×C4 | — | 2 | 2 | no | — |
| 754 | C22×C4 | — | 2 | 1 | no | — |
| 755 | C22×C4 | — | 4 | 2 | no | — |
| 756 | C22×C4 | — | 4 | 1 | no | — |
| 757 | C22×C4 | — | 4 | 2 | no | — |
| 758 | C22×C4 | — | 4 | 1 | no | — |
| 759 | C22×C4 | — | 4 | 2 | no | — |
| 760 | C22×C4 | — | 4 | 2 | no | — |
| 761 | C22×C4 | — | 4 | 2 | no | — |
| 762 | C22×C4 | — | 4 | 2 | no | — |
| 763 | C22×C4 | — | 4 | 1 | no | — |
| 764 | C22×C4 | — | 4 | 2 | no | — |
| 765 | C22×C4 | — | 4 | 1 | no | — |
| 766 | C22×C4 | — | 16 | 2 | no | — |
| 767 | C22×C4 | — | 16 | 4 | no | — |
| 768 | C22×C4 | C2×#217 | 1 | 2 | yes | — |
| 769 | C22×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 770 | Q16 | — | 2 | 1 | no | — |
| 771 | Q16 | #926 | 1 | 2 | yes | — |
| 772 | SD16 | — | 2 | 8 | no | — |
| 773 | SD16 | — | 2 | 4 | no | — |
| 774 | D8 | — | 2 | 8 | no | — |
| 775 | D8 | — | 2 | 2 | no | — |
| 776 | D8 | — | 2 | 1 | no | — |
| 777 | D8 | — | 2 | 4 | no | — |
| 778 | D8 | #926 | 1 | 2 | yes | — |
| 779 | D8 | #926 | 1 | 4 | yes | — |
| 780 | M16 | — | 2 | 2 | no | — |
| 781 | M16 | — | 2 | 2 | no | — |
| 782 | M16 | — | 2 | 4 | no | — |
| 783 | M16 | — | 4 | 2 | no | — |
| 784 | M16 | — | 12 | 2 | no | — |
| 785 | M16 | — | 12 | 2 | no | — |
| 786 | C2×C8 | — | 2 | 2 | no | — |
| 787 | C2×C8 | — | 2 | 2 | no | — |
| 788 | C2×C8 | — | 2 | 2 | no | — |
| 789 | C2×C8 | — | 4 | 2 | no | — |
| 790 | C2×C8 | — | 12 | 2 | no | — |
| 791 | C2×C8 | C2×#217 | 1 | 2 | yes | — |
| 792 | C2×C8 | C2×#217 | 1 | 1 | yes | characteristic |
| 793 | C2×C8 | C2×#217 | 1 | 2 | yes | — |
| 794 | C2×C8 | C2×#217 | 1 | 1 | yes | characteristic |
| 795 | C2×C8 | C2×#235 | 1 | 2 | yes | — |
| 796 | C2×C8 | C2×#235 | 1 | 2 | yes | — |
| 797 | C2×C8 | C23×Dic3 | 1 | 1 | yes | characteristic |
| 798 | C2×C8 | C22×#67 | 1 | 1 | yes | characteristic |
| 799 | C4⋊C4 | — | 2 | 2 | no | — |
| 800 | C4⋊C4 | — | 2 | 1 | no | — |
| 801 | C4⋊C4 | — | 2 | 1 | no | — |
| 802 | C4⋊C4 | — | 2 | 2 | no | — |
| 803 | C4⋊C4 | — | 2 | 1 | no | — |
| 804 | C4⋊C4 | — | 4 | 2 | no | — |
| 805 | C4⋊C4 | — | 4 | 1 | no | — |
| 806 | C4⋊C4 | — | 4 | 1 | no | — |
| 807 | C4⋊C4 | — | 4 | 2 | no | — |
| 808 | C4⋊C4 | — | 4 | 1 | no | — |
| 809 | C4⋊C4 | — | 12 | 2 | no | — |
| 810 | C22⋊C4 | — | 2 | 2 | no | — |
| 811 | C22⋊C4 | — | 2 | 1 | no | — |
| 812 | C22⋊C4 | — | 4 | 2 | no | — |
| 813 | C22⋊C4 | — | 4 | 1 | no | — |
| 814 | C22⋊C4 | — | 4 | 2 | no | — |
| 815 | C22⋊C4 | — | 4 | 1 | no | — |
| 816 | C22⋊C4 | — | 4 | 2 | no | — |
| 817 | C22⋊C4 | — | 4 | 2 | no | — |
| 818 | C22⋊C4 | — | 4 | 2 | no | — |
| 819 | C22⋊C4 | — | 4 | 2 | no | — |
| 820 | C22⋊C4 | — | 4 | 1 | no | — |
| 821 | C22⋊C4 | — | 12 | 2 | no | — |
| 822 | C42 | — | 2 | 2 | no | — |
| 823 | C42 | — | 2 | 1 | no | — |
| 824 | C42 | — | 4 | 1 | no | — |
| 825 | C42 | — | 4 | 2 | no | — |
| 826 | C42 | — | 4 | 1 | no | — |
| 827 | C42 | — | 4 | 2 | no | — |
| 828 | C42 | — | 4 | 1 | no | — |
| 829 | C42 | — | 12 | 2 | no | — |
| 830 | C42 | C2×#217 | 1 | 1 | yes | characteristic |
| 831 | C42 | C2×#217 | 1 | 2 | yes | — |
| 832 | C42 | C2×#217 | 1 | 1 | yes | characteristic |
| 833 | C16 | — | 12 | 2 | no | — |
| 834 | C16 | — | 12 | 2 | no | — |
| 835 | C22×C3 | — | 2 | 2 | no | — |
| 836 | C22×C3 | — | 4 | 1 | no | — |
| 837 | C22×C3 | — | 4 | 2 | no | — |
| 838 | C22×C3 | — | 4 | 4 | no | — |
| 839 | C22×C3 | — | 4 | 2 | no | — |
| 840 | C22×C3 | — | 8 | 2 | no | — |
| 841 | C22×C3 | — | 8 | 1 | no | — |
| 842 | C22×C3 | — | 8 | 2 | no | — |
| 843 | C22×C3 | — | 8 | 1 | no | — |
| 844 | C22×C3 | — | 16 | 4 | no | — |
| 845 | C22×C3 | — | 16 | 8 | no | — |
| 846 | C22×C3 | C2×#418 | 1 | 1 | yes | characteristic |
| 847 | C22×C3 | #3114 | 1 | 2 | yes | — |
| 848 | C3×C4 | — | 2 | 2 | no | — |
| 849 | C3×C4 | — | 4 | 1 | no | — |
| 850 | C3×C4 | — | 4 | 1 | no | — |
| 851 | C3×C4 | — | 4 | 2 | no | — |
| 852 | C3×C4 | — | 4 | 2 | no | — |
| 853 | C3×C4 | — | 8 | 1 | no | — |
| 854 | C3×C4 | — | 8 | 2 | no | — |
| 855 | C3×C4 | — | 8 | 1 | no | — |
| 856 | C3×C4 | #2280 | 1 | 1 | yes | characteristic |
| 857 | C3×C4 | #2896 | 1 | 1 | yes | characteristic |
| 858 | C3×C4 | #3114 | 1 | 2 | yes | — |
| 859 | Dic3 | — | 16 | 2 | no | — |
| 860 | C23 | — | 4 | 8 | no | — |
| 861 | C23 | — | 4 | 2 | no | — |
| 862 | C23 | — | 4 | 1 | no | — |
| 863 | C23 | — | 4 | 4 | no | — |
| 864 | C23 | — | 16 | 1 | no | — |
| 865 | C23 | — | 16 | 2 | no | — |
| 866 | C23 | — | 16 | 1 | no | — |
| 867 | C23 | — | 16 | 2 | no | — |
| 868 | C23 | #5215 | 1 | 2 | yes | — |
| 869 | C23 | C2×#932 | 1 | 1 | yes | characteristic |
| 870 | Q8 | — | 2 | 2 | no | — |
| 871 | Q8 | — | 2 | 2 | no | — |
| 872 | Q8 | — | 4 | 1 | no | — |
| 873 | D4 | — | 2 | 4 | no | — |
| 874 | D4 | — | 2 | 2 | no | — |
| 875 | D4 | — | 2 | 4 | no | — |
| 876 | D4 | — | 2 | 2 | no | — |
| 877 | D4 | — | 4 | 8 | no | — |
| 878 | D4 | — | 4 | 8 | no | — |
| 879 | D4 | — | 4 | 4 | no | — |
| 880 | D4 | — | 4 | 1 | no | — |
| 881 | D4 | — | 4 | 2 | no | — |
| 882 | D4 | — | 4 | 4 | no | — |
| 883 | C2×C4 | — | 2 | 2 | no | — |
| 884 | C2×C4 | — | 2 | 2 | no | — |
| 885 | C2×C4 | — | 2 | 1 | no | — |
| 886 | C2×C4 | — | 2 | 2 | no | — |
| 887 | C2×C4 | — | 2 | 1 | no | — |
| 888 | C2×C4 | — | 4 | 8 | no | — |
| 889 | C2×C4 | — | 4 | 1 | no | — |
| 890 | C2×C4 | — | 4 | 4 | no | — |
| 891 | C2×C4 | — | 4 | 1 | no | — |
| 892 | C2×C4 | — | 4 | 2 | no | — |
| 893 | C2×C4 | — | 4 | 1 | no | — |
| 894 | C2×C4 | — | 8 | 1 | no | — |
| 895 | C2×C4 | — | 8 | 2 | no | — |
| 896 | C2×C4 | — | 8 | 4 | no | — |
| 897 | C2×C4 | — | 8 | 2 | no | — |
| 898 | C2×C4 | — | 16 | 2 | no | — |
| 899 | C2×C4 | — | 16 | 2 | no | — |
| 900 | C2×C4 | — | 16 | 2 | no | — |
| 901 | C2×C4 | — | 16 | 2 | no | — |
| 902 | C2×C4 | — | 16 | 1 | no | — |
| 903 | C2×C4 | — | 16 | 1 | no | — |
| 904 | C2×C4 | — | 16 | 2 | no | — |
| 905 | C2×C4 | — | 24 | 2 | no | — |
| 906 | C2×C4 | #5215 | 1 | 2 | yes | — |
| 907 | C2×C4 | #5791 | 1 | 2 | yes | — |
| 908 | C2×C4 | C2×#932 | 1 | 1 | yes | characteristic |
| 909 | C2×C4 | #5822 | 1 | 2 | yes | — |
| 910 | C2×C4 | C22×#217 | 1 | 1 | yes | characteristic |
| 911 | C8 | — | 2 | 2 | no | — |
| 912 | C8 | — | 2 | 1 | no | — |
| 913 | C8 | — | 2 | 1 | no | — |
| 914 | C8 | — | 2 | 2 | no | — |
| 915 | C8 | — | 24 | 2 | no | — |
| 916 | C8 | C2×#926 | 1 | 1 | yes | characteristic |
| 917 | C8 | C2×#926 | 1 | 1 | yes | characteristic |
| 918 | C8 | #5791 | 1 | 2 | yes | — |
| 919 | C2×C3 | — | 2 | 2 | no | — |
| 920 | C2×C3 | — | 2 | 1 | no | — |
| 921 | C2×C3 | — | 4 | 2 | no | — |
| 922 | C2×C3 | — | 8 | 4 | no | — |
| 923 | C2×C3 | — | 8 | 2 | no | — |
| 924 | C2×C3 | #20739 | 1 | 1 | yes | characteristic |
| 925 | C22 | — | 2 | 2 | no | — |
| 926 | C22 | — | 4 | 1 | no | — |
| 927 | C22 | — | 4 | 2 | no | — |
| 928 | C22 | — | 4 | 4 | no | — |
| 929 | C22 | — | 4 | 2 | no | — |
| 930 | C22 | — | 8 | 2 | no | — |
| 931 | C22 | — | 8 | 1 | no | — |
| 932 | C22 | — | 8 | 2 | no | — |
| 933 | C22 | — | 8 | 1 | no | — |
| 934 | C22 | — | 16 | 4 | no | — |
| 935 | C22 | — | 16 | 8 | no | — |
| 936 | C22 | #82311 | 1 | 2 | yes | — |
| 937 | C22 | C2×#5215 | 1 | 1 | yes | characteristic |
| 938 | C4 | — | 2 | 2 | no | — |
| 939 | C4 | — | 4 | 1 | no | — |
| 940 | C4 | — | 4 | 2 | no | — |
| 941 | C4 | — | 4 | 1 | no | — |
| 942 | C4 | — | 4 | 2 | no | — |
| 943 | C4 | — | 8 | 2 | no | — |
| 944 | C4 | — | 8 | 1 | no | — |
| 945 | C4 | — | 8 | 1 | no | — |
| 946 | C4 | — | 48 | 2 | no | — |
| 947 | C4 | #82311 | 1 | 2 | yes | — |
| 948 | C4 | #84027 | 1 | 1 | yes | characteristic |
| 949 | C4 | #84072 | 1 | 1 | yes | characteristic |
| 950 | C3 | #494058 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 951 | C2 | — | 2 | 1 | no | — |
| 952 | C2 | — | 2 | 2 | no | — |
| 953 | C2 | — | 4 | 2 | no | — |
| 954 | C2 | — | 8 | 4 | no | — |
| 955 | C2 | — | 8 | 2 | no | — |
| 956 | C2 | #10795238 | 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