Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
5058 conjugacy classes of subgroups.
The subgroup lattice has 1190 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C22×#1004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5775 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #86042 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#3003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#5218 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83949 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #82926 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #80148 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #80147 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | D3×#450 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #80005 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #80002 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80001 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #78929 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #78925 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #78640 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #78631 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #60373 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C23×C3×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | C23×#67 | — | 2 | 2 | no | — |
| 21 | C2×#1010 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#1004 | — | 2 | 16 | no | — |
| 23 | C2×#1004 | — | 2 | 2 | no | — |
| 24 | C2×#1004 | — | 2 | 1 | no | — |
| 25 | C2×#1004 | — | 2 | 1 | no | — |
| 26 | C2×#1004 | C22 | 1 | 4 | yes | — |
| 27 | C2×#1004 | C22 | 1 | 2 | yes | — |
| 28 | C2×#1004 | C22 | 1 | 2 | yes | — |
| 29 | C22×#237 | — | 2 | 1 | no | — |
| 30 | C22×#237 | C22 | 1 | 2 | yes | — |
| 31 | C22×D3×D4 | — | 2 | 1 | no | — |
| 32 | C22×D3×D4 | C22 | 1 | 2 | yes | — |
| 33 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 34 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 36 | C3×#525 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #5833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×#950 | C22 | 1 | 2 | yes | complemented |
| 39 | C22×#214 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×#924 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #5775 | — | 2 | 16 | no | — |
| 42 | C2×#915 | C22 | 1 | 4 | yes | complemented |
| 43 | C2×D3×SD16 | C22 | 1 | 4 | yes | complemented |
| 44 | C2×#912 | C22 | 1 | 4 | yes | complemented |
| 45 | C2×#911 | C22 | 1 | 4 | yes | complemented |
| 46 | C2×#909 | C22 | 1 | 2 | yes | complemented |
| 47 | C2×#907 | C22 | 1 | 2 | yes | complemented |
| 48 | #5655 | — | 2 | 2 | no | — |
| 49 | #5628 | C22 | 1 | 2 | yes | complemented |
| 50 | D3×C22⋊Q8 | C22 | 1 | 2 | yes | complemented |
| 51 | #5608 | C22 | 1 | 2 | yes | complemented |
| 52 | #5606 | C22 | 1 | 2 | yes | complemented |
| 53 | #5591 | — | 2 | 2 | no | — |
| 54 | #5552 | — | 2 | 1 | no | — |
| 55 | #5551 | — | 2 | 1 | no | — |
| 56 | #5550 | — | 2 | 1 | no | — |
| 57 | D4×Dic6 | — | 2 | 1 | no | — |
| 58 | #5526 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #5523 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C3×#450 | C22 | 1 | 2 | yes | complemented |
| 61 | C3×#450 | C22 | 1 | 2 | yes | complemented |
| 62 | C3×#447 | C22 | 1 | 2 | yes | complemented |
| 63 | C3×#447 | C22 | 1 | 2 | yes | complemented |
| 64 | C3×#418 | C22 | 1 | 2 | yes | complemented |
| 65 | C3×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #5218 | C22 | 1 | 2 | yes | complemented |
| 67 | #5218 | C22 | 1 | 2 | yes | complemented |
| 68 | #5218 | C22 | 1 | 4 | yes | complemented |
| 69 | C2×#832 | C22 | 1 | 2 | yes | complemented |
| 70 | C2×#830 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #5173 | C22 | 1 | 4 | yes | complemented |
| 72 | #5169 | C22 | 1 | 4 | yes | complemented |
| 73 | #5158 | C22 | 1 | 4 | yes | complemented |
| 74 | #5156 | C22 | 1 | 4 | yes | complemented |
| 75 | #5133 | C22 | 1 | 2 | yes | complemented |
| 76 | #5129 | C22 | 1 | 2 | yes | complemented |
| 77 | #5050 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | #5047 | C22 | 1 | 2 | yes | complemented |
| 79 | #5046 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #5040 | C22 | 1 | 1 | yes | characteristic, complemented |
| 81 | #5037 | C22 | 1 | 2 | yes | complemented |
| 82 | #5036 | C22 | 1 | 1 | yes | characteristic, complemented |
| 83 | #5002 | C22 | 1 | 2 | yes | complemented |
| 84 | #4783 | C22 | 1 | 4 | yes | complemented |
| 85 | #4783 | C22 | 1 | 4 | yes | complemented |
| 86 | #4776 | C22 | 1 | 4 | yes | complemented |
| 87 | #4776 | C22 | 1 | 4 | yes | complemented |
| 88 | #4772 | C22 | 1 | 4 | yes | complemented |
| 89 | #4771 | C22 | 1 | 4 | yes | complemented |
| 90 | #4770 | C22 | 1 | 4 | yes | complemented |
| 91 | D3×#102 | C22 | 1 | 4 | yes | complemented |
| 92 | #4739 | C22 | 1 | 2 | yes | complemented |
| 93 | #4733 | C22 | 1 | 4 | yes | complemented |
| 94 | #4731 | C22 | 1 | 2 | yes | complemented |
| 95 | #4727 | C22 | 1 | 4 | yes | complemented |
| 96 | #4726 | C22 | 1 | 2 | yes | complemented |
| 97 | D3×C22⋊C8 | C22 | 1 | 2 | yes | complemented |
| 98 | C22×H(5,𝔽2) | — | 3 | 1 | no | — |
| 99 | C2×#577 | — | 3 | 2 | no | — |
| 100 | #3489 | — | 3 | 1 | no | — |
| 101 | #3012 | — | 3 | 4 | no | — |
| 102 | #3012 | — | 3 | 2 | no | — |
| 103 | #3009 | — | 3 | 4 | no | — |
| 104 | #3009 | — | 3 | 2 | no | — |
| 105 | #3007 | — | 3 | 2 | no | — |
| 106 | #3007 | — | 3 | 1 | no | — |
| 107 | #3003 | — | 3 | 2 | no | — |
| 108 | #3003 | D3 | 1 | 1 | yes | characteristic, complemented |
| 109 | #3002 | — | 3 | 2 | no | — |
| 110 | #3002 | — | 3 | 1 | no | — |
| 111 | C2×#450 | — | 3 | 2 | no | — |
| 112 | C2×#450 | — | 3 | 1 | no | — |
| 113 | #2897 | — | 3 | 2 | no | — |
| 114 | #2880 | — | 3 | 1 | no | — |
| 115 | C25×C3 | — | 2 | 1 | no | — |
| 116 | C24×D3 | — | 2 | 2 | no | — |
| 117 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic, complemented |
| 118 | C22×C3×D4 | — | 2 | 8 | no | — |
| 119 | C22×C3×D4 | — | 2 | 1 | no | — |
| 120 | C22×C3×D4 | — | 2 | 1 | no | — |
| 121 | C22×C3×D4 | — | 2 | 1 | no | — |
| 122 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 123 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 124 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 125 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 126 | C22×#67 | — | 2 | 32 | no | — |
| 127 | C22×#67 | — | 2 | 1 | no | — |
| 128 | C22×#67 | — | 2 | 2 | no | — |
| 129 | C22×#67 | — | 2 | 4 | no | — |
| 130 | C22×#67 | — | 2 | 4 | no | — |
| 131 | C22×#67 | — | 2 | 4 | no | — |
| 132 | C22×#67 | — | 2 | 4 | no | — |
| 133 | C22×#67 | — | 2 | 2 | no | — |
| 134 | C22×#67 | D4 | 1 | 2 | yes | — |
| 135 | C23×Dic3 | — | 2 | 2 | no | — |
| 136 | #1010 | — | 2 | 8 | no | — |
| 137 | C2×D3×Q8 | C23 | 1 | 2 | yes | complemented |
| 138 | #1004 | — | 2 | 32 | no | — |
| 139 | #1004 | — | 2 | 16 | no | — |
| 140 | #1004 | — | 2 | 16 | no | — |
| 141 | #1004 | — | 2 | 8 | no | — |
| 142 | #1004 | — | 2 | 16 | no | — |
| 143 | #1004 | — | 2 | 16 | no | — |
| 144 | #1004 | — | 2 | 8 | no | — |
| 145 | #1004 | — | 2 | 8 | no | — |
| 146 | #1004 | D4 | 1 | 16 | yes | complemented |
| 147 | C2×#237 | — | 2 | 16 | no | — |
| 148 | C2×#237 | — | 2 | 16 | no | — |
| 149 | C2×#237 | — | 2 | 2 | no | — |
| 150 | C2×#237 | — | 2 | 2 | no | — |
| 151 | C2×#237 | — | 2 | 2 | no | — |
| 152 | C2×#237 | — | 2 | 2 | no | — |
| 153 | C2×#237 | — | 2 | 4 | no | — |
| 154 | C2×#237 | — | 2 | 2 | no | — |
| 155 | C2×#237 | C23 | 1 | 4 | yes | — |
| 156 | C2×#237 | C23 | 1 | 4 | yes | — |
| 157 | C2×#237 | C23 | 1 | 2 | yes | complemented |
| 158 | C2×D3×D4 | — | 2 | 16 | no | — |
| 159 | C2×D3×D4 | — | 2 | 16 | no | — |
| 160 | C2×D3×D4 | — | 2 | 2 | no | — |
| 161 | C2×D3×D4 | — | 2 | 4 | no | — |
| 162 | C2×D3×D4 | — | 2 | 2 | no | — |
| 163 | C2×D3×D4 | — | 2 | 2 | no | — |
| 164 | C2×D3×D4 | — | 2 | 2 | no | — |
| 165 | C2×D3×D4 | C23 | 1 | 4 | yes | — |
| 166 | C2×D3×D4 | C23 | 1 | 4 | yes | — |
| 167 | C2×#235 | — | 2 | 1 | no | — |
| 168 | C2×#235 | — | 2 | 1 | no | — |
| 169 | C2×#235 | — | 2 | 8 | no | — |
| 170 | C2×#235 | — | 2 | 8 | no | — |
| 171 | C2×#235 | — | 2 | 1 | no | — |
| 172 | C2×#235 | D4 | 1 | 2 | yes | — |
| 173 | C2×#235 | D4 | 1 | 1 | yes | characteristic |
| 174 | C2×#235 | D4 | 1 | 1 | yes | characteristic |
| 175 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 176 | C2×#235 | C23 | 1 | 2 | yes | — |
| 177 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 178 | C2×#235 | C23 | 1 | 2 | yes | — |
| 179 | C2×#235 | C23 | 1 | 2 | yes | — |
| 180 | C22×D12 | D4 | 1 | 1 | yes | characteristic |
| 181 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 182 | C22×C4×D3 | — | 2 | 1 | no | — |
| 183 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 184 | C22×Dic6 | — | 2 | 1 | no | — |
| 185 | C22×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 186 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 187 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic, complemented |
| 188 | C3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 189 | C2×C3×SD16 | C23 | 1 | 4 | yes | complemented |
| 190 | C2×C3×D8 | C23 | 1 | 4 | yes | complemented |
| 191 | C2×C3×M16 | C23 | 1 | 2 | yes | complemented |
| 192 | C3×#123 | — | 2 | 1 | no | — |
| 193 | C3×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 194 | C3×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 195 | C3×#121 | C23 | 1 | 1 | yes | characteristic |
| 196 | C3×#121 | C23 | 1 | 1 | yes | characteristic, complemented |
| 197 | C3×#120 | — | 2 | 1 | no | — |
| 198 | C3×C4×D4 | — | 2 | 1 | no | — |
| 199 | C3×C4×D4 | — | 2 | 1 | no | — |
| 200 | C3×#117 | C23 | 1 | 1 | yes | characteristic, complemented |
| 201 | C2×#217 | — | 2 | 1 | no | — |
| 202 | #950 | — | 2 | 8 | no | — |
| 203 | #946 | C23 | 1 | 2 | yes | complemented |
| 204 | C2×#216 | C23 | 1 | 2 | yes | complemented |
| 205 | C2×#215 | C23 | 1 | 2 | yes | complemented |
| 206 | #939 | — | 2 | 2 | no | — |
| 207 | #939 | — | 2 | 2 | no | — |
| 208 | #938 | — | 2 | 2 | no | — |
| 209 | #938 | C23 | 1 | 2 | yes | complemented |
| 210 | #937 | — | 2 | 2 | no | — |
| 211 | D4×Dic3 | — | 2 | 2 | no | — |
| 212 | C2×#214 | — | 2 | 8 | no | — |
| 213 | C2×#214 | C23 | 1 | 2 | yes | complemented |
| 214 | C2×#214 | C23 | 1 | 4 | yes | complemented |
| 215 | C2×#214 | C23 | 1 | 4 | yes | complemented |
| 216 | C2×#213 | C23 | 1 | 2 | yes | complemented |
| 217 | #930 | — | 2 | 1 | no | — |
| 218 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 219 | #924 | — | 2 | 1 | no | — |
| 220 | #924 | — | 2 | 1 | no | — |
| 221 | #924 | — | 2 | 1 | no | — |
| 222 | #924 | C23 | 1 | 2 | yes | — |
| 223 | #924 | C23 | 1 | 2 | yes | complemented |
| 224 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 225 | C22×C3⋊C8 | C23 | 1 | 2 | yes | complemented |
| 226 | #915 | — | 2 | 16 | no | — |
| 227 | D3×SD16 | — | 2 | 16 | no | — |
| 228 | #912 | — | 2 | 16 | no | — |
| 229 | #911 | — | 2 | 16 | no | — |
| 230 | #909 | — | 2 | 8 | no | — |
| 231 | #907 | — | 2 | 8 | no | — |
| 232 | C2×Dic12 | C23 | 1 | 4 | yes | complemented |
| 233 | C2×#204 | C23 | 1 | 4 | yes | complemented |
| 234 | C2×ΓL(1,𝔽25) | C23 | 1 | 4 | yes | complemented |
| 235 | C2×D3×C8 | C23 | 1 | 4 | yes | complemented |
| 236 | #897 | C23 | 1 | 2 | yes | complemented |
| 237 | #897 | C23 | 1 | 2 | yes | complemented |
| 238 | #896 | — | 2 | 2 | no | — |
| 239 | #894 | — | 2 | 2 | no | — |
| 240 | #892 | C23 | 1 | 2 | yes | complemented |
| 241 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 242 | D3×C4⋊C4 | C23 | 1 | 2 | yes | complemented |
| 243 | #888 | — | 2 | 2 | no | — |
| 244 | #886 | — | 2 | 2 | no | — |
| 245 | #885 | — | 2 | 2 | no | — |
| 246 | #884 | — | 2 | 2 | no | — |
| 247 | #883 | — | 2 | 2 | no | — |
| 248 | #883 | — | 2 | 2 | no | — |
| 249 | #67⋊C4 | — | 2 | 2 | no | — |
| 250 | #67⋊C4 | — | 2 | 2 | no | — |
| 251 | D3×C22⋊C4 | — | 2 | 2 | no | — |
| 252 | #878 | — | 2 | 2 | no | — |
| 253 | #878 | — | 2 | 2 | no | — |
| 254 | #875 | — | 2 | 1 | no | — |
| 255 | C4×D12 | — | 2 | 1 | no | — |
| 256 | #869 | — | 2 | 1 | no | — |
| 257 | C4×Dic6 | — | 2 | 1 | no | — |
| 258 | C3×#102 | C23 | 1 | 4 | yes | complemented |
| 259 | C3×#102 | C23 | 1 | 4 | yes | complemented |
| 260 | C3×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 261 | C3×C22⋊C8 | C23 | 1 | 2 | yes | complemented |
| 262 | #832 | C23 | 1 | 4 | yes | complemented |
| 263 | #832 | C23 | 1 | 4 | yes | complemented |
| 264 | #830 | C23 | 1 | 1 | yes | characteristic |
| 265 | #830 | C23 | 1 | 1 | yes | characteristic |
| 266 | #830 | C23 | 1 | 2 | yes | complemented |
| 267 | #821 | C23 | 1 | 4 | yes | complemented |
| 268 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | complemented |
| 269 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | complemented |
| 270 | #816 | C23 | 1 | 4 | yes | complemented |
| 271 | #810 | C23 | 1 | 2 | yes | complemented |
| 272 | #810 | C23 | 1 | 2 | yes | complemented |
| 273 | #809 | C23 | 1 | 2 | yes | complemented |
| 274 | #809 | C23 | 1 | 2 | yes | complemented |
| 275 | C2×2−1+4 | — | 3 | 1 | no | — |
| 276 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 277 | C2×H(5,𝔽2) | — | 3 | 4 | no | — |
| 278 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 279 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 280 | C2×H(5,𝔽2) | — | 6 | 1 | no | — |
| 281 | C2×H(5,𝔽2) | — | 6 | 1 | no | — |
| 282 | C2×H(5,𝔽2) | — | 6 | 16 | no | — |
| 283 | C22×#41 | — | 3 | 1 | no | — |
| 284 | C22×#41 | — | 3 | 2 | no | — |
| 285 | C22×#41 | — | 3 | 1 | no | — |
| 286 | C22×#41 | — | 6 | 1 | no | — |
| 287 | C23×D4 | — | 3 | 2 | no | — |
| 288 | C23×D4 | — | 6 | 1 | no | — |
| 289 | C23×D4 | — | 6 | 2 | no | — |
| 290 | C23×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 291 | #577 | — | 6 | 16 | no | — |
| 292 | C2×#137 | — | 3 | 4 | no | — |
| 293 | C2×#137 | — | 3 | 2 | no | — |
| 294 | C2×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 295 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 296 | C2×#135 | — | 3 | 2 | no | — |
| 297 | C2×#135 | — | 3 | 4 | no | — |
| 298 | C22×SD16 | — | 3 | 2 | no | — |
| 299 | C22×SD16 | — | 3 | 4 | no | — |
| 300 | C2×#131 | — | 3 | 2 | no | — |
| 301 | D4×Q8 | — | 6 | 1 | no | — |
| 302 | #548 | — | 6 | 1 | no | — |
| 303 | #547 | — | 6 | 1 | no | — |
| 304 | #547 | — | 6 | 2 | no | — |
| 305 | #546 | — | 6 | 1 | no | — |
| 306 | #546 | — | 6 | 2 | no | — |
| 307 | #537 | — | 3 | 1 | no | — |
| 308 | #537 | — | 3 | 2 | no | — |
| 309 | #536 | — | 3 | 2 | no | — |
| 310 | #536 | — | 3 | 1 | no | — |
| 311 | #525 | — | 3 | 2 | no | — |
| 312 | #525 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 313 | C2×C22⋊Q8 | — | 3 | 1 | no | — |
| 314 | C2×C22⋊Q8 | — | 3 | 2 | no | — |
| 315 | #520 | — | 3 | 1 | no | — |
| 316 | #452 | — | 3 | 4 | no | — |
| 317 | #452 | — | 3 | 2 | no | — |
| 318 | #452 | — | 3 | 4 | no | — |
| 319 | #452 | — | 3 | 4 | no | — |
| 320 | #452 | — | 3 | 4 | no | — |
| 321 | #451 | — | 3 | 1 | no | — |
| 322 | #451 | — | 3 | 2 | no | — |
| 323 | #450 | — | 3 | 2 | no | — |
| 324 | #450 | — | 3 | 2 | no | — |
| 325 | #450 | — | 3 | 4 | no | — |
| 326 | #450 | — | 3 | 4 | no | — |
| 327 | #450 | — | 3 | 1 | no | — |
| 328 | #450 | — | 3 | 4 | no | — |
| 329 | #450 | — | 3 | 4 | no | — |
| 330 | #450 | — | 3 | 2 | no | — |
| 331 | #450 | C2×D3 | 1 | 2 | yes | complemented |
| 332 | #450 | C2×D3 | 1 | 2 | yes | complemented |
| 333 | #449 | — | 3 | 4 | no | — |
| 334 | #449 | — | 3 | 2 | no | — |
| 335 | #448 | — | 3 | 1 | no | — |
| 336 | #447 | — | 3 | 4 | no | — |
| 337 | #447 | — | 3 | 1 | no | — |
| 338 | #447 | C2×D3 | 1 | 2 | yes | complemented |
| 339 | #447 | C2×D3 | 1 | 2 | yes | complemented |
| 340 | #418 | — | 3 | 4 | no | — |
| 341 | #418 | C2×D3 | 1 | 2 | yes | complemented |
| 342 | #417 | — | 3 | 2 | no | — |
| 343 | #417 | — | 3 | 4 | no | — |
| 344 | #416 | — | 3 | 2 | no | — |
| 345 | #416 | — | 3 | 4 | no | — |
| 346 | C2×#102 | — | 3 | 2 | no | — |
| 347 | C2×#102 | — | 3 | 4 | no | — |
| 348 | #408 | — | 3 | 2 | no | — |
| 349 | #408 | — | 3 | 4 | no | — |
| 350 | #407 | — | 3 | 2 | no | — |
| 351 | #407 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 352 | C2×C22⋊C8 | — | 3 | 1 | no | — |
| 353 | C2×C22⋊C8 | — | 3 | 2 | no | — |
| 354 | C24×C3 | — | 2 | 8 | no | — |
| 355 | C24×C3 | — | 2 | 2 | no | — |
| 356 | C24×C3 | — | 2 | 2 | no | — |
| 357 | C24×C3 | — | 2 | 2 | no | — |
| 358 | C24×C3 | — | 8 | 2 | no | — |
| 359 | C24×C3 | — | 8 | 2 | no | — |
| 360 | C24×C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 361 | C23×D3 | — | 2 | 1 | no | — |
| 362 | C23×D3 | — | 2 | 16 | no | — |
| 363 | C23×D3 | — | 2 | 4 | no | — |
| 364 | C23×D3 | — | 2 | 4 | no | — |
| 365 | C23×D3 | — | 8 | 4 | no | — |
| 366 | C23×D3 | — | 8 | 4 | no | — |
| 367 | C23×D3 | C2×D4 | 1 | 2 | yes | — |
| 368 | C3×#41 | — | 2 | 4 | no | — |
| 369 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 370 | C2×C3×D4 | — | 2 | 8 | no | — |
| 371 | C2×C3×D4 | — | 2 | 8 | no | — |
| 372 | C2×C3×D4 | — | 2 | 8 | no | — |
| 373 | C2×C3×D4 | — | 2 | 8 | no | — |
| 374 | C2×C3×D4 | — | 2 | 8 | no | — |
| 375 | C2×C3×D4 | — | 2 | 1 | no | — |
| 376 | C2×C3×D4 | — | 2 | 1 | no | — |
| 377 | C2×C3×D4 | — | 2 | 1 | no | — |
| 378 | C2×C3×D4 | — | 2 | 2 | no | — |
| 379 | C2×C3×D4 | — | 2 | 2 | no | — |
| 380 | C2×C3×D4 | — | 2 | 2 | no | — |
| 381 | C2×C3×D4 | — | 2 | 4 | no | — |
| 382 | C2×C3×D4 | C2×D4 | 1 | 8 | yes | — |
| 383 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 384 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 385 | C22×C3×C4 | — | 2 | 4 | no | — |
| 386 | C22×C3×C4 | — | 2 | 1 | no | — |
| 387 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 388 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 389 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 390 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 391 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 392 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 393 | C2×#67 | — | 2 | 8 | no | — |
| 394 | C2×#67 | — | 2 | 16 | no | — |
| 395 | C2×#67 | — | 2 | 16 | no | — |
| 396 | C2×#67 | — | 2 | 32 | no | — |
| 397 | C2×#67 | — | 2 | 32 | no | — |
| 398 | C2×#67 | — | 2 | 32 | no | — |
| 399 | C2×#67 | — | 2 | 2 | no | — |
| 400 | C2×#67 | — | 2 | 2 | no | — |
| 401 | C2×#67 | — | 2 | 4 | no | — |
| 402 | C2×#67 | — | 2 | 4 | no | — |
| 403 | C2×#67 | — | 2 | 8 | no | — |
| 404 | C2×#67 | — | 2 | 32 | no | — |
| 405 | C2×#67 | — | 2 | 2 | no | — |
| 406 | C2×#67 | — | 2 | 2 | no | — |
| 407 | C2×#67 | — | 2 | 4 | no | — |
| 408 | C2×#67 | — | 2 | 4 | no | — |
| 409 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 410 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 411 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 412 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 413 | C22×Dic3 | — | 2 | 16 | no | — |
| 414 | C22×Dic3 | — | 2 | 1 | no | — |
| 415 | C22×Dic3 | — | 2 | 4 | no | — |
| 416 | C22×Dic3 | — | 2 | 4 | no | — |
| 417 | C22×Dic3 | — | 2 | 1 | no | — |
| 418 | C22×Dic3 | — | 2 | 1 | no | — |
| 419 | C22×Dic3 | — | 2 | 2 | no | — |
| 420 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 421 | D3×Q8 | — | 2 | 8 | no | — |
| 422 | #237 | — | 2 | 16 | no | — |
| 423 | #237 | — | 2 | 16 | no | — |
| 424 | #237 | — | 2 | 16 | no | — |
| 425 | #237 | — | 2 | 32 | no | — |
| 426 | #237 | — | 2 | 8 | no | — |
| 427 | #237 | — | 2 | 8 | no | — |
| 428 | #237 | — | 2 | 8 | no | — |
| 429 | #237 | — | 2 | 16 | no | — |
| 430 | #237 | — | 2 | 8 | no | — |
| 431 | #237 | — | 4 | 8 | no | — |
| 432 | #237 | C2×D4 | 1 | 16 | yes | — |
| 433 | D3×D4 | — | 2 | 32 | no | — |
| 434 | D3×D4 | — | 2 | 16 | no | — |
| 435 | D3×D4 | — | 2 | 16 | no | — |
| 436 | D3×D4 | — | 2 | 16 | no | — |
| 437 | D3×D4 | — | 2 | 8 | no | — |
| 438 | D3×D4 | — | 2 | 16 | no | — |
| 439 | D3×D4 | — | 2 | 8 | no | — |
| 440 | D3×D4 | — | 2 | 8 | no | — |
| 441 | D3×D4 | C2×D4 | 1 | 16 | yes | — |
| 442 | #235 | — | 2 | 8 | no | — |
| 443 | #235 | — | 2 | 8 | no | — |
| 444 | #235 | — | 2 | 4 | no | — |
| 445 | #235 | — | 2 | 4 | no | — |
| 446 | #235 | — | 2 | 8 | no | — |
| 447 | #235 | — | 2 | 4 | no | — |
| 448 | #235 | — | 2 | 4 | no | — |
| 449 | #235 | — | 2 | 8 | no | — |
| 450 | #235 | — | 2 | 4 | no | — |
| 451 | #235 | — | 2 | 4 | no | — |
| 452 | #235 | — | 4 | 4 | no | — |
| 453 | #235 | C2×D4 | 1 | 8 | yes | — |
| 454 | #235 | C2×D4 | 1 | 8 | yes | — |
| 455 | C2×D12 | — | 2 | 1 | no | — |
| 456 | C2×D12 | — | 2 | 4 | no | — |
| 457 | C2×D12 | — | 2 | 4 | no | — |
| 458 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 459 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 460 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 461 | C2×D12 | C24 | 1 | 2 | yes | — |
| 462 | C2×C4×D3 | — | 2 | 8 | no | — |
| 463 | C2×C4×D3 | — | 2 | 2 | no | — |
| 464 | C2×C4×D3 | — | 2 | 2 | no | — |
| 465 | C2×C4×D3 | — | 2 | 8 | no | — |
| 466 | C2×C4×D3 | — | 2 | 2 | no | — |
| 467 | C2×C4×D3 | — | 2 | 2 | no | — |
| 468 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 469 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 470 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 471 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 472 | C2×Dic6 | — | 2 | 1 | no | — |
| 473 | C2×Dic6 | — | 2 | 4 | no | — |
| 474 | C2×Dic6 | — | 2 | 4 | no | — |
| 475 | C2×Dic6 | — | 2 | 4 | no | — |
| 476 | C2×Dic6 | — | 2 | 1 | no | — |
| 477 | C2×Dic6 | — | 2 | 2 | no | — |
| 478 | C2×Dic6 | — | 4 | 4 | no | — |
| 479 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 480 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 481 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 482 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 483 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 484 | C3×SD16 | — | 2 | 8 | no | — |
| 485 | C3×D8 | — | 2 | 8 | no | — |
| 486 | C3×M16 | — | 2 | 4 | no | — |
| 487 | C2×C3×C8 | C24 | 1 | 4 | yes | — |
| 488 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 489 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 490 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 491 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 492 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 493 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 494 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 495 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 496 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 497 | C3×C42 | — | 2 | 1 | no | — |
| 498 | #217 | — | 2 | 2 | no | — |
| 499 | #217 | — | 2 | 2 | no | — |
| 500 | #217 | — | 2 | 2 | no | — |
| 501 | #216 | — | 2 | 4 | no | — |
| 502 | #215 | — | 2 | 4 | no | — |
| 503 | #214 | — | 2 | 8 | no | — |
| 504 | #214 | — | 2 | 8 | no | — |
| 505 | #214 | — | 2 | 4 | no | — |
| 506 | #213 | — | 2 | 4 | no | — |
| 507 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 508 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 509 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 510 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 511 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 512 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 513 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 514 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 515 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 516 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 517 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 518 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 519 | C4×Dic3 | — | 2 | 2 | no | — |
| 520 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 521 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 522 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 523 | Dic12 | — | 2 | 8 | no | — |
| 524 | #204 | — | 2 | 8 | no | — |
| 525 | ΓL(1,𝔽25) | — | 2 | 8 | no | — |
| 526 | D3×C8 | — | 2 | 8 | no | — |
| 527 | C25 | — | 2 | 1 | no | — |
| 528 | C25 | — | 6 | 2 | no | — |
| 529 | 2−1+4 | — | 6 | 8 | no | — |
| 530 | H(5,𝔽2) | — | 3 | 16 | no | — |
| 531 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 532 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 533 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 534 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 535 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 536 | H(5,𝔽2) | — | 6 | 32 | no | — |
| 537 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 538 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 539 | C2×#41 | — | 3 | 1 | no | — |
| 540 | C2×#41 | — | 3 | 2 | no | — |
| 541 | C2×#41 | — | 3 | 1 | no | — |
| 542 | C2×#41 | — | 3 | 1 | no | — |
| 543 | C2×#41 | — | 3 | 2 | no | — |
| 544 | C2×#41 | — | 3 | 1 | no | — |
| 545 | C2×#41 | — | 3 | 4 | no | — |
| 546 | C2×#41 | — | 3 | 2 | no | — |
| 547 | C2×#41 | — | 3 | 4 | no | — |
| 548 | C2×#41 | — | 3 | 2 | no | — |
| 549 | C2×#41 | — | 3 | 2 | no | — |
| 550 | C2×#41 | — | 6 | 1 | no | — |
| 551 | C2×#41 | — | 6 | 8 | no | — |
| 552 | C2×#41 | — | 6 | 8 | no | — |
| 553 | C2×#41 | — | 6 | 2 | no | — |
| 554 | C2×#41 | — | 6 | 2 | no | — |
| 555 | C2×#41 | — | 6 | 2 | no | — |
| 556 | C2×#41 | — | 6 | 2 | no | — |
| 557 | C2×#41 | — | 6 | 4 | no | — |
| 558 | C2×#41 | — | 6 | 2 | no | — |
| 559 | C2×#41 | — | 6 | 16 | no | — |
| 560 | C2×#41 | — | 6 | 16 | no | — |
| 561 | C2×#41 | — | 6 | 1 | no | — |
| 562 | C2×#41 | — | 6 | 1 | no | — |
| 563 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 564 | C22×Q8 | — | 3 | 1 | no | — |
| 565 | C22×Q8 | — | 3 | 2 | no | — |
| 566 | C22×Q8 | — | 3 | 1 | no | — |
| 567 | C22×Q8 | — | 3 | 1 | no | — |
| 568 | C22×Q8 | — | 6 | 1 | no | — |
| 569 | C22×D4 | — | 2 | 8 | no | — |
| 570 | C22×D4 | — | 2 | 1 | no | — |
| 571 | C22×D4 | — | 2 | 1 | no | — |
| 572 | C22×D4 | — | 2 | 1 | no | — |
| 573 | C22×D4 | — | 3 | 4 | no | — |
| 574 | C22×D4 | — | 3 | 2 | no | — |
| 575 | C22×D4 | — | 3 | 4 | no | — |
| 576 | C22×D4 | — | 3 | 1 | no | — |
| 577 | C22×D4 | — | 3 | 1 | no | — |
| 578 | C22×D4 | — | 6 | 2 | no | — |
| 579 | C22×D4 | — | 6 | 2 | no | — |
| 580 | C22×D4 | — | 6 | 2 | no | — |
| 581 | C22×D4 | — | 6 | 16 | no | — |
| 582 | C22×D4 | — | 6 | 2 | no | — |
| 583 | C22×D4 | — | 6 | 4 | no | — |
| 584 | C22×D4 | — | 6 | 2 | no | — |
| 585 | C22×D4 | — | 6 | 16 | no | — |
| 586 | C22×D4 | — | 6 | 4 | no | — |
| 587 | C22×D4 | — | 6 | 4 | no | — |
| 588 | C22×D4 | — | 6 | 4 | no | — |
| 589 | C22×D4 | — | 6 | 4 | no | — |
| 590 | C22×D4 | — | 6 | 2 | no | — |
| 591 | C22×D4 | — | 6 | 32 | no | — |
| 592 | C22×D4 | — | 6 | 1 | no | — |
| 593 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 594 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 595 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 596 | C23×C4 | — | 3 | 2 | no | — |
| 597 | C23×C4 | — | 6 | 2 | no | — |
| 598 | C23×C4 | — | 6 | 1 | no | — |
| 599 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 600 | #137 | — | 6 | 8 | no | — |
| 601 | #137 | — | 6 | 16 | no | — |
| 602 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 603 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 604 | #135 | — | 6 | 16 | no | — |
| 605 | #135 | — | 6 | 8 | no | — |
| 606 | C2×Q16 | — | 3 | 2 | no | — |
| 607 | C2×Q16 | — | 3 | 4 | no | — |
| 608 | C2×SD16 | — | 3 | 2 | no | — |
| 609 | C2×SD16 | — | 3 | 4 | no | — |
| 610 | C2×SD16 | — | 3 | 4 | no | — |
| 611 | C2×SD16 | — | 3 | 2 | no | — |
| 612 | C2×SD16 | — | 3 | 4 | no | — |
| 613 | C2×SD16 | — | 6 | 16 | no | — |
| 614 | C2×SD16 | — | 6 | 8 | no | — |
| 615 | C2×SD16 | C22×D3 | 1 | 4 | yes | complemented |
| 616 | C2×D8 | — | 3 | 2 | no | — |
| 617 | C2×D8 | C22×D3 | 1 | 4 | yes | complemented |
| 618 | #131 | — | 6 | 8 | no | — |
| 619 | C2×M16 | — | 3 | 4 | no | — |
| 620 | C2×M16 | C22×D3 | 1 | 2 | yes | complemented |
| 621 | C22×C8 | — | 3 | 2 | no | — |
| 622 | C22×C8 | — | 3 | 4 | no | — |
| 623 | C4⋊Q8 | — | 6 | 1 | no | — |
| 624 | C4⋊Q8 | — | 6 | 2 | no | — |
| 625 | #124 | — | 6 | 1 | no | — |
| 626 | #124 | — | 6 | 2 | no | — |
| 627 | #123 | — | 2 | 1 | no | — |
| 628 | #123 | — | 6 | 2 | no | — |
| 629 | #123 | — | 6 | 2 | no | — |
| 630 | #123 | — | 6 | 2 | no | — |
| 631 | #123 | — | 6 | 2 | no | — |
| 632 | C22⋊Q8 | — | 3 | 2 | no | — |
| 633 | C22⋊Q8 | — | 3 | 2 | no | — |
| 634 | C22⋊Q8 | — | 3 | 2 | no | — |
| 635 | C22⋊Q8 | — | 3 | 2 | no | — |
| 636 | C22⋊Q8 | — | 3 | 2 | no | — |
| 637 | C22⋊Q8 | — | 6 | 2 | no | — |
| 638 | C22⋊Q8 | — | 6 | 2 | no | — |
| 639 | C22⋊Q8 | — | 6 | 2 | no | — |
| 640 | C22⋊Q8 | — | 6 | 1 | no | — |
| 641 | C22⋊Q8 | — | 6 | 1 | no | — |
| 642 | C22⋊Q8 | — | 6 | 1 | no | — |
| 643 | C22⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 644 | C22⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 645 | #121 | — | 3 | 2 | no | — |
| 646 | #121 | — | 6 | 2 | no | — |
| 647 | #121 | — | 6 | 1 | no | — |
| 648 | #121 | — | 6 | 2 | no | — |
| 649 | #121 | — | 6 | 2 | no | — |
| 650 | #121 | — | 6 | 2 | no | — |
| 651 | #121 | C22×D3 | 1 | 1 | yes | characteristic |
| 652 | #121 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 653 | #120 | — | 2 | 1 | no | — |
| 654 | #120 | — | 6 | 2 | no | — |
| 655 | C4×Q8 | — | 6 | 1 | no | — |
| 656 | C4×D4 | — | 2 | 1 | no | — |
| 657 | C4×D4 | — | 2 | 1 | no | — |
| 658 | C4×D4 | — | 6 | 1 | no | — |
| 659 | C4×D4 | — | 6 | 2 | no | — |
| 660 | C4×D4 | — | 6 | 2 | no | — |
| 661 | C4×D4 | — | 6 | 2 | no | — |
| 662 | #117 | — | 3 | 2 | no | — |
| 663 | #117 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 664 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 665 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 666 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 667 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 668 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 669 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 670 | #103 | — | 3 | 4 | no | — |
| 671 | #103 | — | 3 | 2 | no | — |
| 672 | #103 | — | 3 | 2 | no | — |
| 673 | #102 | — | 3 | 4 | no | — |
| 674 | #102 | — | 3 | 4 | no | — |
| 675 | #102 | — | 3 | 4 | no | — |
| 676 | #102 | — | 3 | 2 | no | — |
| 677 | #102 | — | 3 | 2 | no | — |
| 678 | #102 | C22×D3 | 1 | 4 | yes | complemented |
| 679 | #102 | C22×D3 | 1 | 4 | yes | complemented |
| 680 | C22⋊C8 | — | 3 | 1 | no | — |
| 681 | C22⋊C8 | — | 3 | 1 | no | — |
| 682 | C22⋊C8 | — | 3 | 2 | no | — |
| 683 | C22⋊C8 | — | 3 | 4 | no | — |
| 684 | C22⋊C8 | — | 3 | 4 | no | — |
| 685 | C22⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 686 | C22⋊C8 | C22×D3 | 1 | 2 | yes | complemented |
| 687 | C23×C3 | — | 2 | 8 | no | — |
| 688 | C23×C3 | — | 2 | 8 | no | — |
| 689 | C23×C3 | — | 2 | 2 | no | — |
| 690 | C23×C3 | — | 2 | 2 | no | — |
| 691 | C23×C3 | — | 2 | 4 | no | — |
| 692 | C23×C3 | — | 2 | 8 | no | — |
| 693 | C23×C3 | — | 2 | 1 | no | — |
| 694 | C23×C3 | — | 4 | 1 | no | — |
| 695 | C23×C3 | — | 4 | 4 | no | — |
| 696 | C23×C3 | — | 4 | 4 | no | — |
| 697 | C23×C3 | — | 8 | 2 | no | — |
| 698 | C23×C3 | — | 8 | 2 | no | — |
| 699 | C23×C3 | — | 8 | 2 | no | — |
| 700 | C23×C3 | — | 8 | 2 | no | — |
| 701 | C23×C3 | — | 8 | 16 | no | — |
| 702 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 703 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 704 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 705 | C22×D3 | — | 2 | 4 | no | — |
| 706 | C22×D3 | — | 2 | 4 | no | — |
| 707 | C22×D3 | — | 2 | 2 | no | — |
| 708 | C22×D3 | — | 2 | 16 | no | — |
| 709 | C22×D3 | — | 2 | 4 | no | — |
| 710 | C22×D3 | — | 2 | 16 | no | — |
| 711 | C22×D3 | — | 4 | 2 | no | — |
| 712 | C22×D3 | — | 4 | 2 | no | — |
| 713 | C22×D3 | — | 4 | 2 | no | — |
| 714 | C22×D3 | — | 8 | 4 | no | — |
| 715 | C22×D3 | — | 8 | 4 | no | — |
| 716 | C22×D3 | — | 8 | 4 | no | — |
| 717 | C22×D3 | — | 8 | 4 | no | — |
| 718 | C22×D3 | — | 8 | 32 | no | — |
| 719 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 720 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 721 | C3×Q8 | — | 2 | 2 | no | — |
| 722 | C3×D4 | — | 2 | 8 | no | — |
| 723 | C3×D4 | — | 2 | 8 | no | — |
| 724 | C3×D4 | — | 2 | 8 | no | — |
| 725 | C3×D4 | — | 2 | 4 | no | — |
| 726 | C3×D4 | — | 2 | 2 | no | — |
| 727 | C3×D4 | — | 4 | 2 | no | — |
| 728 | C3×D4 | — | 4 | 2 | no | — |
| 729 | C3×D4 | — | 8 | 1 | no | — |
| 730 | C3×D4 | C22×D4 | 1 | 8 | yes | — |
| 731 | C2×C3×C4 | — | 2 | 2 | no | — |
| 732 | C2×C3×C4 | — | 2 | 2 | no | — |
| 733 | C2×C3×C4 | — | 2 | 2 | no | — |
| 734 | C2×C3×C4 | — | 2 | 2 | no | — |
| 735 | C2×C3×C4 | — | 2 | 2 | no | — |
| 736 | C2×C3×C4 | — | 2 | 1 | no | — |
| 737 | C2×C3×C4 | — | 2 | 1 | no | — |
| 738 | C2×C3×C4 | — | 2 | 1 | no | — |
| 739 | C2×C3×C4 | — | 4 | 2 | no | — |
| 740 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 741 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 742 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 743 | C2×C3×C4 | C22×D4 | 1 | 4 | yes | — |
| 744 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 745 | #67 | — | 2 | 8 | no | — |
| 746 | #67 | — | 2 | 16 | no | — |
| 747 | #67 | — | 2 | 16 | no | — |
| 748 | #67 | — | 2 | 4 | no | — |
| 749 | #67 | — | 2 | 8 | no | — |
| 750 | #67 | — | 2 | 4 | no | — |
| 751 | #67 | — | 2 | 16 | no | — |
| 752 | #67 | — | 2 | 4 | no | — |
| 753 | #67 | — | 2 | 16 | no | — |
| 754 | #67 | — | 4 | 4 | no | — |
| 755 | #67 | — | 8 | 2 | no | — |
| 756 | #67 | #120 | 1 | 8 | yes | — |
| 757 | C2×Dic3 | — | 2 | 4 | no | — |
| 758 | C2×Dic3 | — | 2 | 16 | no | — |
| 759 | C2×Dic3 | — | 2 | 2 | no | — |
| 760 | C2×Dic3 | — | 2 | 4 | no | — |
| 761 | C2×Dic3 | — | 2 | 16 | no | — |
| 762 | C2×Dic3 | — | 2 | 2 | no | — |
| 763 | C2×Dic3 | — | 2 | 2 | no | — |
| 764 | C2×Dic3 | — | 4 | 2 | no | — |
| 765 | C2×Dic3 | — | 4 | 4 | no | — |
| 766 | C2×Dic3 | — | 8 | 1 | no | — |
| 767 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 768 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 769 | D12 | — | 2 | 4 | no | — |
| 770 | D12 | — | 2 | 4 | no | — |
| 771 | D12 | — | 2 | 2 | no | — |
| 772 | D12 | — | 2 | 2 | no | — |
| 773 | D12 | #120 | 1 | 4 | yes | — |
| 774 | D12 | C22×D4 | 1 | 4 | yes | — |
| 775 | C4×D3 | — | 2 | 8 | no | — |
| 776 | C4×D3 | — | 2 | 4 | no | — |
| 777 | C4×D3 | — | 2 | 8 | no | — |
| 778 | C4×D3 | — | 2 | 4 | no | — |
| 779 | C4×D3 | — | 2 | 4 | no | — |
| 780 | C4×D3 | — | 4 | 4 | no | — |
| 781 | C4×D3 | — | 8 | 2 | no | — |
| 782 | C4×D3 | C22×D4 | 1 | 8 | yes | — |
| 783 | Dic6 | — | 2 | 4 | no | — |
| 784 | Dic6 | — | 2 | 2 | no | — |
| 785 | Dic6 | — | 2 | 2 | no | — |
| 786 | Dic6 | — | 2 | 4 | no | — |
| 787 | Dic6 | — | 2 | 4 | no | — |
| 788 | Dic6 | — | 4 | 2 | no | — |
| 789 | Dic6 | — | 4 | 4 | no | — |
| 790 | Dic6 | #120 | 1 | 4 | yes | — |
| 791 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 792 | C3×C8 | — | 2 | 4 | no | — |
| 793 | C3⋊C8 | — | 2 | 2 | no | — |
| 794 | C3⋊C8 | — | 2 | 2 | no | — |
| 795 | C24 | — | 2 | 8 | no | — |
| 796 | C24 | — | 2 | 2 | no | — |
| 797 | C24 | — | 2 | 2 | no | — |
| 798 | C24 | — | 2 | 2 | no | — |
| 799 | C24 | — | 3 | 2 | no | — |
| 800 | C24 | — | 6 | 4 | no | — |
| 801 | C24 | — | 6 | 4 | no | — |
| 802 | C24 | — | 6 | 16 | no | — |
| 803 | C24 | — | 6 | 1 | no | — |
| 804 | C24 | — | 8 | 2 | no | — |
| 805 | C24 | — | 8 | 2 | no | — |
| 806 | C24 | — | 24 | 4 | no | — |
| 807 | C24 | — | 24 | 4 | no | — |
| 808 | C24 | D3×D4 | 1 | 1 | yes | characteristic |
| 809 | #41 | — | 2 | 4 | no | — |
| 810 | #41 | — | 3 | 8 | no | — |
| 811 | #41 | — | 3 | 16 | no | — |
| 812 | #41 | — | 3 | 8 | no | — |
| 813 | #41 | — | 6 | 8 | no | — |
| 814 | #41 | — | 6 | 8 | no | — |
| 815 | #41 | — | 6 | 4 | no | — |
| 816 | #41 | — | 6 | 4 | no | — |
| 817 | #41 | — | 6 | 4 | no | — |
| 818 | #41 | — | 6 | 4 | no | — |
| 819 | #41 | — | 6 | 8 | no | — |
| 820 | #41 | — | 6 | 8 | no | — |
| 821 | #41 | — | 6 | 8 | no | — |
| 822 | #41 | — | 6 | 8 | no | — |
| 823 | #41 | — | 6 | 8 | no | — |
| 824 | #41 | — | 6 | 16 | no | — |
| 825 | #41 | — | 6 | 16 | no | — |
| 826 | #41 | — | 6 | 16 | no | — |
| 827 | #41 | — | 6 | 32 | no | — |
| 828 | #41 | — | 6 | 16 | no | — |
| 829 | #41 | — | 6 | 8 | no | — |
| 830 | #41 | — | 6 | 4 | no | — |
| 831 | #41 | — | 6 | 4 | no | — |
| 832 | #41 | — | 12 | 4 | no | — |
| 833 | #41 | — | 12 | 8 | no | — |
| 834 | C2×Q8 | — | 3 | 1 | no | — |
| 835 | C2×Q8 | — | 3 | 2 | no | — |
| 836 | C2×Q8 | — | 3 | 1 | no | — |
| 837 | C2×Q8 | — | 3 | 2 | no | — |
| 838 | C2×Q8 | — | 3 | 2 | no | — |
| 839 | C2×Q8 | — | 6 | 2 | no | — |
| 840 | C2×Q8 | — | 6 | 4 | no | — |
| 841 | C2×Q8 | — | 6 | 4 | no | — |
| 842 | C2×Q8 | — | 6 | 8 | no | — |
| 843 | C2×Q8 | — | 6 | 1 | no | — |
| 844 | C2×Q8 | — | 6 | 1 | no | — |
| 845 | C2×Q8 | — | 6 | 4 | no | — |
| 846 | C2×Q8 | — | 12 | 4 | no | — |
| 847 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 848 | C2×D4 | — | 2 | 8 | no | — |
| 849 | C2×D4 | — | 2 | 8 | no | — |
| 850 | C2×D4 | — | 2 | 8 | no | — |
| 851 | C2×D4 | — | 2 | 8 | no | — |
| 852 | C2×D4 | — | 2 | 8 | no | — |
| 853 | C2×D4 | — | 2 | 1 | no | — |
| 854 | C2×D4 | — | 2 | 1 | no | — |
| 855 | C2×D4 | — | 2 | 1 | no | — |
| 856 | C2×D4 | — | 2 | 2 | no | — |
| 857 | C2×D4 | — | 2 | 2 | no | — |
| 858 | C2×D4 | — | 2 | 2 | no | — |
| 859 | C2×D4 | — | 2 | 4 | no | — |
| 860 | C2×D4 | — | 3 | 2 | no | — |
| 861 | C2×D4 | — | 3 | 16 | no | — |
| 862 | C2×D4 | — | 3 | 2 | no | — |
| 863 | C2×D4 | — | 3 | 2 | no | — |
| 864 | C2×D4 | — | 3 | 2 | no | — |
| 865 | C2×D4 | — | 3 | 1 | no | — |
| 866 | C2×D4 | — | 3 | 2 | no | — |
| 867 | C2×D4 | — | 3 | 1 | no | — |
| 868 | C2×D4 | — | 3 | 2 | no | — |
| 869 | C2×D4 | — | 6 | 4 | no | — |
| 870 | C2×D4 | — | 6 | 4 | no | — |
| 871 | C2×D4 | — | 6 | 8 | no | — |
| 872 | C2×D4 | — | 6 | 4 | no | — |
| 873 | C2×D4 | — | 6 | 4 | no | — |
| 874 | C2×D4 | — | 6 | 8 | no | — |
| 875 | C2×D4 | — | 6 | 16 | no | — |
| 876 | C2×D4 | — | 6 | 16 | no | — |
| 877 | C2×D4 | — | 6 | 16 | no | — |
| 878 | C2×D4 | — | 6 | 32 | no | — |
| 879 | C2×D4 | — | 6 | 16 | no | — |
| 880 | C2×D4 | — | 6 | 8 | no | — |
| 881 | C2×D4 | — | 6 | 32 | no | — |
| 882 | C2×D4 | — | 6 | 4 | no | — |
| 883 | C2×D4 | — | 6 | 4 | no | — |
| 884 | C2×D4 | — | 6 | 16 | no | — |
| 885 | C2×D4 | — | 6 | 16 | no | — |
| 886 | C2×D4 | — | 6 | 8 | no | — |
| 887 | C2×D4 | — | 6 | 32 | no | — |
| 888 | C2×D4 | — | 6 | 32 | no | — |
| 889 | C2×D4 | — | 6 | 32 | no | — |
| 890 | C2×D4 | — | 6 | 2 | no | — |
| 891 | C2×D4 | — | 6 | 2 | no | — |
| 892 | C2×D4 | — | 6 | 8 | no | — |
| 893 | C2×D4 | — | 6 | 2 | no | — |
| 894 | C2×D4 | — | 6 | 2 | no | — |
| 895 | C2×D4 | — | 6 | 1 | no | — |
| 896 | C2×D4 | D3×D4 | 1 | 8 | yes | — |
| 897 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 898 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 899 | C22×C4 | — | 2 | 4 | no | — |
| 900 | C22×C4 | — | 2 | 1 | no | — |
| 901 | C22×C4 | — | 3 | 2 | no | — |
| 902 | C22×C4 | — | 3 | 2 | no | — |
| 903 | C22×C4 | — | 3 | 2 | no | — |
| 904 | C22×C4 | — | 3 | 2 | no | — |
| 905 | C22×C4 | — | 3 | 2 | no | — |
| 906 | C22×C4 | — | 6 | 8 | no | — |
| 907 | C22×C4 | — | 6 | 8 | no | — |
| 908 | C22×C4 | — | 6 | 2 | no | — |
| 909 | C22×C4 | — | 6 | 2 | no | — |
| 910 | C22×C4 | — | 6 | 4 | no | — |
| 911 | C22×C4 | — | 6 | 4 | no | — |
| 912 | C22×C4 | — | 6 | 2 | no | — |
| 913 | C22×C4 | — | 6 | 16 | no | — |
| 914 | C22×C4 | — | 6 | 1 | no | — |
| 915 | C22×C4 | — | 6 | 2 | no | — |
| 916 | C22×C4 | — | 6 | 2 | no | — |
| 917 | C22×C4 | — | 6 | 1 | no | — |
| 918 | C22×C4 | — | 6 | 1 | no | — |
| 919 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 920 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 921 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 922 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 923 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 924 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 925 | Q16 | — | 6 | 8 | no | — |
| 926 | Q16 | — | 6 | 4 | no | — |
| 927 | SD16 | — | 2 | 8 | no | — |
| 928 | SD16 | — | 6 | 8 | no | — |
| 929 | SD16 | — | 6 | 4 | no | — |
| 930 | SD16 | — | 6 | 4 | no | — |
| 931 | SD16 | — | 6 | 8 | no | — |
| 932 | SD16 | — | 6 | 8 | no | — |
| 933 | D8 | — | 2 | 8 | no | — |
| 934 | D8 | — | 6 | 4 | no | — |
| 935 | M16 | — | 2 | 4 | no | — |
| 936 | M16 | — | 6 | 8 | no | — |
| 937 | C2×C8 | — | 3 | 2 | no | — |
| 938 | C2×C8 | — | 3 | 2 | no | — |
| 939 | C2×C8 | — | 6 | 8 | no | — |
| 940 | C2×C8 | — | 6 | 4 | no | — |
| 941 | C2×C8 | C23×D3 | 1 | 4 | yes | — |
| 942 | C4⋊C4 | — | 2 | 1 | no | — |
| 943 | C4⋊C4 | — | 2 | 1 | no | — |
| 944 | C4⋊C4 | — | 3 | 2 | no | — |
| 945 | C4⋊C4 | — | 6 | 2 | no | — |
| 946 | C4⋊C4 | — | 6 | 2 | no | — |
| 947 | C4⋊C4 | — | 6 | 2 | no | — |
| 948 | C4⋊C4 | — | 6 | 2 | no | — |
| 949 | C4⋊C4 | — | 6 | 1 | no | — |
| 950 | C4⋊C4 | — | 6 | 2 | no | — |
| 951 | C4⋊C4 | — | 6 | 2 | no | — |
| 952 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 953 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 954 | C22⋊C4 | — | 2 | 1 | no | — |
| 955 | C22⋊C4 | — | 2 | 1 | no | — |
| 956 | C22⋊C4 | — | 2 | 1 | no | — |
| 957 | C22⋊C4 | — | 2 | 1 | no | — |
| 958 | C22⋊C4 | — | 2 | 1 | no | — |
| 959 | C22⋊C4 | — | 6 | 2 | no | — |
| 960 | C22⋊C4 | — | 6 | 2 | no | — |
| 961 | C22⋊C4 | — | 6 | 2 | no | — |
| 962 | C22⋊C4 | — | 6 | 2 | no | — |
| 963 | C22⋊C4 | — | 6 | 2 | no | — |
| 964 | C22⋊C4 | — | 6 | 2 | no | — |
| 965 | C22⋊C4 | — | 6 | 2 | no | — |
| 966 | C42 | — | 2 | 1 | no | — |
| 967 | C42 | — | 6 | 2 | no | — |
| 968 | C22×C3 | — | 2 | 1 | no | — |
| 969 | C22×C3 | — | 2 | 1 | no | — |
| 970 | C22×C3 | — | 2 | 1 | no | — |
| 971 | C22×C3 | — | 2 | 1 | no | — |
| 972 | C22×C3 | — | 2 | 1 | no | — |
| 973 | C22×C3 | — | 2 | 8 | no | — |
| 974 | C22×C3 | — | 2 | 1 | no | — |
| 975 | C22×C3 | — | 2 | 1 | no | — |
| 976 | C22×C3 | — | 4 | 4 | no | — |
| 977 | C22×C3 | — | 4 | 16 | no | — |
| 978 | C22×C3 | — | 4 | 4 | no | — |
| 979 | C22×C3 | — | 4 | 4 | no | — |
| 980 | C22×C3 | — | 4 | 1 | no | — |
| 981 | C22×C3 | — | 4 | 1 | no | — |
| 982 | C22×C3 | — | 4 | 1 | no | — |
| 983 | C22×C3 | — | 8 | 8 | no | — |
| 984 | C22×C3 | — | 8 | 8 | no | — |
| 985 | C22×C3 | C2×#120 | 1 | 2 | yes | — |
| 986 | C22×C3 | #577 | 1 | 2 | yes | complemented |
| 987 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 988 | C2×D3 | — | 2 | 2 | no | — |
| 989 | C2×D3 | — | 2 | 2 | no | — |
| 990 | C2×D3 | — | 2 | 2 | no | — |
| 991 | C2×D3 | — | 2 | 2 | no | — |
| 992 | C2×D3 | — | 2 | 4 | no | — |
| 993 | C2×D3 | — | 2 | 2 | no | — |
| 994 | C2×D3 | — | 4 | 8 | no | — |
| 995 | C2×D3 | — | 4 | 8 | no | — |
| 996 | C2×D3 | — | 4 | 2 | no | — |
| 997 | C2×D3 | — | 4 | 2 | no | — |
| 998 | C2×D3 | — | 8 | 16 | no | — |
| 999 | C2×D3 | — | 8 | 16 | no | — |
| 1000 | C2×D3 | C2×#120 | 1 | 4 | yes | — |
| 1001 | C3×C4 | — | 2 | 1 | no | — |
| 1002 | C3×C4 | — | 2 | 1 | no | — |
| 1003 | C3×C4 | — | 4 | 1 | no | — |
| 1004 | C3×C4 | — | 4 | 1 | no | — |
| 1005 | C3×C4 | — | 4 | 1 | no | — |
| 1006 | C3×C4 | C2×#120 | 1 | 2 | yes | — |
| 1007 | C3×C4 | C23×D4 | 1 | 2 | yes | — |
| 1008 | Dic3 | — | 2 | 2 | no | — |
| 1009 | Dic3 | — | 2 | 4 | no | — |
| 1010 | Dic3 | — | 4 | 2 | no | — |
| 1011 | Dic3 | — | 4 | 2 | no | — |
| 1012 | Dic3 | C2×#120 | 1 | 4 | yes | — |
| 1013 | C23 | — | 2 | 8 | no | — |
| 1014 | C23 | — | 2 | 8 | no | — |
| 1015 | C23 | — | 2 | 4 | no | — |
| 1016 | C23 | — | 2 | 2 | no | — |
| 1017 | C23 | — | 2 | 2 | no | — |
| 1018 | C23 | — | 2 | 8 | no | — |
| 1019 | C23 | — | 2 | 1 | no | — |
| 1020 | C23 | — | 3 | 2 | no | — |
| 1021 | C23 | — | 3 | 2 | no | — |
| 1022 | C23 | — | 4 | 1 | no | — |
| 1023 | C23 | — | 4 | 4 | no | — |
| 1024 | C23 | — | 4 | 4 | no | — |
| 1025 | C23 | — | 6 | 4 | no | — |
| 1026 | C23 | — | 6 | 16 | no | — |
| 1027 | C23 | — | 6 | 4 | no | — |
| 1028 | C23 | — | 6 | 16 | no | — |
| 1029 | C23 | — | 6 | 2 | no | — |
| 1030 | C23 | — | 6 | 4 | no | — |
| 1031 | C23 | — | 8 | 2 | no | — |
| 1032 | C23 | — | 8 | 2 | no | — |
| 1033 | C23 | — | 8 | 2 | no | — |
| 1034 | C23 | — | 8 | 2 | no | — |
| 1035 | C23 | — | 8 | 16 | no | — |
| 1036 | C23 | — | 12 | 2 | no | — |
| 1037 | C23 | — | 12 | 2 | no | — |
| 1038 | C23 | — | 12 | 2 | no | — |
| 1039 | C23 | — | 24 | 4 | no | — |
| 1040 | C23 | — | 24 | 4 | no | — |
| 1041 | C23 | — | 24 | 4 | no | — |
| 1042 | C23 | — | 24 | 4 | no | — |
| 1043 | C23 | — | 24 | 32 | no | — |
| 1044 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1045 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1046 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1047 | Q8 | — | 2 | 2 | no | — |
| 1048 | Q8 | — | 3 | 4 | no | — |
| 1049 | Q8 | — | 3 | 4 | no | — |
| 1050 | Q8 | — | 6 | 4 | no | — |
| 1051 | Q8 | — | 6 | 4 | no | — |
| 1052 | Q8 | — | 6 | 2 | no | — |
| 1053 | Q8 | — | 6 | 2 | no | — |
| 1054 | Q8 | — | 6 | 4 | no | — |
| 1055 | Q8 | — | 12 | 4 | no | — |
| 1056 | Q8 | — | 12 | 2 | no | — |
| 1057 | D4 | — | 2 | 8 | no | — |
| 1058 | D4 | — | 2 | 8 | no | — |
| 1059 | D4 | — | 2 | 4 | no | — |
| 1060 | D4 | — | 2 | 2 | no | — |
| 1061 | D4 | — | 2 | 8 | no | — |
| 1062 | D4 | — | 3 | 8 | no | — |
| 1063 | D4 | — | 3 | 4 | no | — |
| 1064 | D4 | — | 3 | 4 | no | — |
| 1065 | D4 | — | 4 | 2 | no | — |
| 1066 | D4 | — | 4 | 2 | no | — |
| 1067 | D4 | — | 6 | 4 | no | — |
| 1068 | D4 | — | 6 | 4 | no | — |
| 1069 | D4 | — | 6 | 4 | no | — |
| 1070 | D4 | — | 6 | 16 | no | — |
| 1071 | D4 | — | 6 | 4 | no | — |
| 1072 | D4 | — | 6 | 16 | no | — |
| 1073 | D4 | — | 6 | 16 | no | — |
| 1074 | D4 | — | 6 | 8 | no | — |
| 1075 | D4 | — | 6 | 16 | no | — |
| 1076 | D4 | — | 6 | 4 | no | — |
| 1077 | D4 | — | 6 | 8 | no | — |
| 1078 | D4 | — | 6 | 2 | no | — |
| 1079 | D4 | — | 6 | 2 | no | — |
| 1080 | D4 | — | 8 | 1 | no | — |
| 1081 | D4 | — | 12 | 4 | no | — |
| 1082 | D4 | — | 24 | 2 | no | — |
| 1083 | D4 | C2×D3×D4 | 1 | 8 | yes | — |
| 1084 | C2×C4 | — | 2 | 2 | no | — |
| 1085 | C2×C4 | — | 2 | 2 | no | — |
| 1086 | C2×C4 | — | 2 | 2 | no | — |
| 1087 | C2×C4 | — | 2 | 2 | no | — |
| 1088 | C2×C4 | — | 2 | 2 | no | — |
| 1089 | C2×C4 | — | 2 | 1 | no | — |
| 1090 | C2×C4 | — | 2 | 1 | no | — |
| 1091 | C2×C4 | — | 2 | 1 | no | — |
| 1092 | C2×C4 | — | 3 | 2 | no | — |
| 1093 | C2×C4 | — | 3 | 8 | no | — |
| 1094 | C2×C4 | — | 3 | 2 | no | — |
| 1095 | C2×C4 | — | 4 | 2 | no | — |
| 1096 | C2×C4 | — | 6 | 4 | no | — |
| 1097 | C2×C4 | — | 6 | 4 | no | — |
| 1098 | C2×C4 | — | 6 | 8 | no | — |
| 1099 | C2×C4 | — | 6 | 4 | no | — |
| 1100 | C2×C4 | — | 6 | 16 | no | — |
| 1101 | C2×C4 | — | 6 | 4 | no | — |
| 1102 | C2×C4 | — | 6 | 16 | no | — |
| 1103 | C2×C4 | — | 6 | 2 | no | — |
| 1104 | C2×C4 | — | 6 | 4 | no | — |
| 1105 | C2×C4 | — | 6 | 8 | no | — |
| 1106 | C2×C4 | — | 6 | 2 | no | — |
| 1107 | C2×C4 | — | 6 | 2 | no | — |
| 1108 | C2×C4 | — | 12 | 4 | no | — |
| 1109 | C2×C4 | — | 12 | 4 | no | — |
| 1110 | C2×C4 | — | 12 | 2 | no | — |
| 1111 | C2×C4 | — | 24 | 2 | no | — |
| 1112 | C2×C4 | — | 24 | 1 | no | — |
| 1113 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1114 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1115 | C2×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 1116 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1117 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1118 | C8 | — | 2 | 4 | no | — |
| 1119 | C8 | — | 6 | 2 | no | — |
| 1120 | C8 | — | 6 | 2 | no | — |
| 1121 | C2×C3 | — | 2 | 2 | no | — |
| 1122 | C2×C3 | — | 2 | 2 | no | — |
| 1123 | C2×C3 | — | 4 | 8 | no | — |
| 1124 | C2×C3 | — | 4 | 1 | no | — |
| 1125 | C2×C3 | — | 8 | 1 | no | — |
| 1126 | C2×C3 | C22×#120 | 1 | 1 | yes | characteristic |
| 1127 | C2×C3 | C2×#577 | 1 | 1 | yes | characteristic |
| 1128 | C2×C3 | #3585 | 1 | 1 | yes | characteristic |
| 1129 | D3 | — | 2 | 4 | no | — |
| 1130 | D3 | — | 4 | 2 | no | — |
| 1131 | D3 | — | 4 | 4 | no | — |
| 1132 | C22 | — | 2 | 1 | no | — |
| 1133 | C22 | — | 2 | 1 | no | — |
| 1134 | C22 | — | 2 | 1 | no | — |
| 1135 | C22 | — | 2 | 1 | no | — |
| 1136 | C22 | — | 2 | 1 | no | — |
| 1137 | C22 | — | 2 | 1 | no | — |
| 1138 | C22 | — | 2 | 1 | no | — |
| 1139 | C22 | — | 2 | 8 | no | — |
| 1140 | C22 | — | 3 | 4 | no | — |
| 1141 | C22 | — | 4 | 4 | no | — |
| 1142 | C22 | — | 4 | 16 | no | — |
| 1143 | C22 | — | 4 | 4 | no | — |
| 1144 | C22 | — | 4 | 4 | no | — |
| 1145 | C22 | — | 4 | 1 | no | — |
| 1146 | C22 | — | 4 | 1 | no | — |
| 1147 | C22 | — | 4 | 1 | no | — |
| 1148 | C22 | — | 6 | 2 | no | — |
| 1149 | C22 | — | 6 | 2 | no | — |
| 1150 | C22 | — | 6 | 2 | no | — |
| 1151 | C22 | — | 6 | 2 | no | — |
| 1152 | C22 | — | 6 | 4 | no | — |
| 1153 | C22 | — | 6 | 2 | no | — |
| 1154 | C22 | — | 8 | 8 | no | — |
| 1155 | C22 | — | 8 | 8 | no | — |
| 1156 | C22 | — | 12 | 8 | no | — |
| 1157 | C22 | — | 12 | 8 | no | — |
| 1158 | C22 | — | 12 | 2 | no | — |
| 1159 | C22 | — | 12 | 2 | no | — |
| 1160 | C22 | — | 24 | 16 | no | — |
| 1161 | C22 | — | 24 | 16 | no | — |
| 1162 | C22 | D3×#120 | 1 | 2 | yes | — |
| 1163 | C22 | #5775 | 1 | 2 | yes | complemented |
| 1164 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1165 | C4 | — | 2 | 1 | no | — |
| 1166 | C4 | — | 2 | 1 | no | — |
| 1167 | C4 | — | 3 | 4 | no | — |
| 1168 | C4 | — | 4 | 1 | no | — |
| 1169 | C4 | — | 4 | 1 | no | — |
| 1170 | C4 | — | 4 | 1 | no | — |
| 1171 | C4 | — | 6 | 2 | no | — |
| 1172 | C4 | — | 6 | 4 | no | — |
| 1173 | C4 | — | 12 | 2 | no | — |
| 1174 | C4 | — | 12 | 2 | no | — |
| 1175 | C4 | D3×#120 | 1 | 2 | yes | — |
| 1176 | C4 | C22×D3×D4 | 1 | 2 | yes | — |
| 1177 | C3 | #60373 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1178 | C2 | — | 2 | 2 | no | — |
| 1179 | C2 | — | 2 | 2 | no | — |
| 1180 | C2 | — | 4 | 1 | no | — |
| 1181 | C2 | — | 4 | 8 | no | — |
| 1182 | C2 | — | 6 | 4 | no | — |
| 1183 | C2 | — | 8 | 1 | no | — |
| 1184 | C2 | — | 12 | 2 | no | — |
| 1185 | C2 | — | 12 | 4 | no | — |
| 1186 | C2 | C2×D3×#120 | 1 | 1 | yes | characteristic |
| 1187 | C2 | C2×#5775 | 1 | 1 | yes | characteristic |
| 1188 | C2 | #87192 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#1004 | C2 | semidirect |
| 2. C2×#5775 | C2 | semidirect |
| 3. #86042 | C2 | semidirect |
| 4. C3×#3003 | C2 | semidirect |
| 5. C2×#5218 | C2 | semidirect |
| 6. #83949 | C2 | semidirect |
| 7. #82926 | C2 | semidirect |
| 8. #80148 | C2 | semidirect |
| 9. #80147 | C2 | semidirect |
| 10. D3×#450 | C2 | semidirect |
| 11. #80005 | C2 | semidirect |
| 12. #80002 | C2 | semidirect |
| 13. #80001 | C2 | semidirect |
| 14. #78929 | C2 | semidirect |
| 15. #78925 | C2 | semidirect |
| 16. #78640 | C2 | semidirect |
| 17. #78631 | C2 | semidirect |
| 21. C2×#1010 | C22 | semidirect |
| 35. C2×C3×AGL(1,ℤ/8) | C22 | semidirect |
| 36. C3×#525 | C22 | semidirect |
| 37. #5833 | C22 | semidirect |
| 38. C2×#950 | C22 | semidirect |
| 39. C22×#214 | C22 | semidirect |
| 40. C2×#924 | C22 | semidirect |
| 42. C2×#915 | C22 | semidirect |
| 43. C2×D3×SD16 | C22 | semidirect |
| 44. C2×#912 | C22 | semidirect |
| 45. C2×#911 | C22 | semidirect |
| 46. C2×#909 | C22 | semidirect |
| 47. C2×#907 | C22 | semidirect |
| 49. #5628 | C22 | semidirect |
| 50. D3×C22⋊Q8 | C22 | semidirect |
| 51. #5608 | C22 | semidirect |
| 52. #5606 | C22 | semidirect |
| 58. #5526 | C22 | semidirect |
| 59. #5523 | C22 | semidirect |
| 60. C3×#450 | C22 | semidirect |
| 61. C3×#450 | C22 | semidirect |
| 62. C3×#447 | C22 | semidirect |
| 63. C3×#447 | C22 | semidirect |
| 64. C3×#418 | C22 | semidirect |
| 65. C3×#407 | C22 | semidirect |
| 66. #5218 | C22 | semidirect |
| 67. #5218 | C22 | semidirect |
| 68. #5218 | C22 | semidirect |
| 69. C2×#832 | C22 | semidirect |
| 70. C2×#830 | C22 | semidirect |
| 71. #5173 | C22 | semidirect |
| 72. #5169 | C22 | semidirect |
| 73. #5158 | C22 | semidirect |
| 74. #5156 | C22 | semidirect |
| 75. #5133 | C22 | semidirect |
| 76. #5129 | C22 | semidirect |
| 77. #5050 | C22 | semidirect |
| 78. #5047 | C22 | semidirect |
| 79. #5046 | C22 | semidirect |
| 80. #5040 | C22 | semidirect |
| 81. #5037 | C22 | semidirect |
| 82. #5036 | C22 | semidirect |
| 83. #5002 | C22 | semidirect |
| 84. #4783 | C22 | semidirect |
| 85. #4783 | C22 | semidirect |
| 86. #4776 | C22 | semidirect |
| 87. #4776 | C22 | semidirect |
| 88. #4772 | C22 | semidirect |
| 89. #4771 | C22 | semidirect |
| 90. #4770 | C22 | semidirect |
| 91. D3×#102 | C22 | semidirect |
| 92. #4739 | C22 | semidirect |
| 93. #4733 | C22 | semidirect |
| 94. #4731 | C22 | semidirect |
| 95. #4727 | C22 | semidirect |
| 96. #4726 | C22 | semidirect |
| 97. D3×C22⋊C8 | C22 | semidirect |
| 108. #3003 | D3 | semidirect |
| 117. C2×C3×#41 | C23 | semidirect |
| 137. C2×D3×Q8 | C23 | semidirect |
| 146. #1004 | D4 | semidirect |
| 157. C2×#237 | C23 | semidirect |
| 187. C22×Dic6 | C23 | semidirect |
| 189. C2×C3×SD16 | C23 | semidirect |
| 190. C2×C3×D8 | C23 | semidirect |
| 191. C2×C3×M16 | C23 | semidirect |
| 194. C3×C22⋊Q8 | C23 | semidirect |
| 196. C3×#121 | C23 | semidirect |
| 200. C3×#117 | C23 | semidirect |
| 203. #946 | C23 | semidirect |
| 204. C2×#216 | C23 | semidirect |
| 205. C2×#215 | C23 | semidirect |
| 209. #938 | C23 | semidirect |
| 213. C2×#214 | C23 | semidirect |
| 214. C2×#214 | C23 | semidirect |
| 215. C2×#214 | C23 | semidirect |
| 216. C2×#213 | C23 | semidirect |
| 218. C2×C4⋊Dic3 | C23 | semidirect |
| 223. #924 | C23 | semidirect |
| 225. C22×C3⋊C8 | C23 | semidirect |
| 232. C2×Dic12 | C23 | semidirect |
| 233. C2×#204 | C23 | semidirect |
| 234. C2×ΓL(1,𝔽25) | C23 | semidirect |
| 235. C2×D3×C8 | C23 | semidirect |
| 236. #897 | C23 | semidirect |
| 237. #897 | C23 | semidirect |
| 240. #892 | C23 | semidirect |
| 242. D3×C4⋊C4 | C23 | semidirect |
| 258. C3×#102 | C23 | semidirect |
| 259. C3×#102 | C23 | semidirect |
| 261. C3×C22⋊C8 | C23 | semidirect |
| 262. #832 | C23 | semidirect |
| 263. #832 | C23 | semidirect |
| 266. #830 | C23 | semidirect |
| 267. #821 | C23 | semidirect |
| 268. (C2×D3)⋊C8 | C23 | semidirect |
| 269. (C2×D3)⋊C8 | C23 | semidirect |
| 270. #816 | C23 | semidirect |
| 271. #810 | C23 | semidirect |
| 272. #810 | C23 | semidirect |
| 273. #809 | C23 | semidirect |
| 274. #809 | C23 | semidirect |
| 295. C2×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 312. #525 | C2×D3 | semidirect |
| 331. #450 | C2×D3 | semidirect |
| 332. #450 | C2×D3 | semidirect |
| 338. #447 | C2×D3 | semidirect |
| 339. #447 | C2×D3 | semidirect |
| 341. #418 | C2×D3 | semidirect |
| 351. #407 | C2×D3 | semidirect |
| 563. C2×#41 | C22×D3 | semidirect |
| 615. C2×SD16 | C22×D3 | semidirect |
| 617. C2×D8 | C22×D3 | semidirect |
| 620. C2×M16 | C22×D3 | semidirect |
| 644. C22⋊Q8 | C22×D3 | semidirect |
| 652. #121 | C22×D3 | semidirect |
| 663. #117 | C22×D3 | semidirect |
| 678. #102 | C22×D3 | semidirect |
| 679. #102 | C22×D3 | semidirect |
| 686. C22⋊C8 | C22×D3 | semidirect |
| 986. C22×C3 | #577 | semidirect |
| 1163. C22 | #5775 | semidirect |
| 1177. C3 | #60373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#1004 | 2 |
| C2×#5775 | 2 |
| #86042 | 2 |
| C3×#3003 | 2 |
| C2×#5218 | 2 |
| #83949 | 2 |
| #82926 | 2 |
| #80148 | 2 |
| #80147 | 2 |
| D3×#450 | 2 |
| #80005 | 2 |
| #80002 | 2 |
| #80001 | 2 |
| #78929 | 2 |
| #78925 | 2 |
| #78640 | 2 |
| #78631 | 2 |
| #60373 | 3 |