Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2224 conjugacy classes of subgroups.
The subgroup lattice has 1256 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #87275 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #85938 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#449 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #84082 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #83864 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | D8×#67 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #82627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #80125 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #80120 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #80118 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #80114 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #80111 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80093 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #80085 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #80072 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #78808 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #78764 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #78611 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #78604 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #61617 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C22×C3×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#1009 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C22×C3×SD16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C22×C3×D8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C3×#121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #5834 | C22 | 1 | 2 | yes | complemented |
| 27 | #5833 | — | 2 | 1 | no | — |
| 28 | #5833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #5830 | — | 2 | 1 | no | — |
| 30 | #5830 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #5829 | — | 2 | 2 | no | — |
| 32 | #5829 | C22 | 1 | 2 | yes | complemented |
| 33 | #5827 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#949 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×#949 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #5817 | C22 | 1 | 2 | yes | complemented |
| 37 | D4×#67 | — | 2 | 2 | no | — |
| 38 | D4×#67 | — | 2 | 2 | no | — |
| 39 | D4×#67 | C22 | 1 | 2 | yes | complemented |
| 40 | D4×#67 | C22 | 1 | 2 | yes | complemented |
| 41 | #5791 | — | 2 | 1 | no | — |
| 42 | #5791 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#930 | — | 2 | 1 | no | — |
| 44 | C2×#930 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×#930 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#914 | C22 | 1 | 2 | yes | complemented |
| 47 | C2×D3×D8 | C22 | 1 | 2 | yes | complemented |
| 48 | #5620 | — | 2 | 2 | no | — |
| 49 | #5619 | C22 | 1 | 2 | yes | complemented |
| 50 | #5618 | C22 | 1 | 2 | yes | complemented |
| 51 | #5617 | — | 2 | 1 | no | — |
| 52 | #5609 | C22 | 1 | 2 | yes | complemented |
| 53 | #5607 | C22 | 1 | 2 | yes | complemented |
| 54 | #5605 | — | 2 | 1 | no | — |
| 55 | #5514 | C22 | 1 | 2 | yes | complemented |
| 56 | #5494 | — | 2 | 1 | no | — |
| 57 | #5493 | — | 2 | 1 | no | — |
| 58 | C3×#449 | C22 | 1 | 2 | yes | complemented |
| 59 | C3×#449 | C22 | 1 | 2 | yes | complemented |
| 60 | C3×#449 | C22 | 1 | 2 | yes | complemented |
| 61 | C3×#449 | C22 | 1 | 2 | yes | complemented |
| 62 | C2×C3×#103 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×C3×#102 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×C3×C22⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #5238 | C22 | 1 | 2 | yes | complemented |
| 66 | #5238 | C22 | 1 | 2 | yes | complemented |
| 67 | #5232 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #5232 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #5227 | C22 | 1 | 2 | yes | complemented |
| 70 | #5217 | C22 | 1 | 2 | yes | complemented |
| 71 | #5217 | C22 | 1 | 2 | yes | complemented |
| 72 | #5207 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #5176 | C22 | 1 | 2 | yes | complemented |
| 74 | #5174 | C22 | 1 | 2 | yes | complemented |
| 75 | #5172 | C22 | 1 | 2 | yes | complemented |
| 76 | #5169 | C22 | 1 | 2 | yes | complemented |
| 77 | #5165 | C22 | 1 | 2 | yes | complemented |
| 78 | #5164 | C22 | 1 | 2 | yes | complemented |
| 79 | #5163 | C22 | 1 | 2 | yes | complemented |
| 80 | #5157 | C22 | 1 | 2 | yes | complemented |
| 81 | #5156 | C22 | 1 | 2 | yes | complemented |
| 82 | #5156 | C22 | 1 | 2 | yes | complemented |
| 83 | #5151 | C22 | 1 | 2 | yes | complemented |
| 84 | #5150 | C22 | 1 | 2 | yes | complemented |
| 85 | #5150 | C22 | 1 | 2 | yes | complemented |
| 86 | Dic3×D8 | C22 | 1 | 2 | yes | complemented |
| 87 | #5115 | C22 | 1 | 2 | yes | complemented |
| 88 | #5115 | C22 | 1 | 2 | yes | complemented |
| 89 | #5111 | C22 | 1 | 2 | yes | complemented |
| 90 | C8×#67 | C22 | 1 | 2 | yes | complemented |
| 91 | #5039 | C22 | 1 | 2 | yes | complemented |
| 92 | #5039 | C22 | 1 | 2 | yes | complemented |
| 93 | #5036 | C22 | 1 | 2 | yes | complemented |
| 94 | #5034 | C22 | 1 | 2 | yes | complemented |
| 95 | #4968 | C22 | 1 | 2 | yes | complemented |
| 96 | #4819 | C22 | 1 | 2 | yes | complemented |
| 97 | #4814 | C22 | 1 | 2 | yes | complemented |
| 98 | #4810 | C22 | 1 | 2 | yes | complemented |
| 99 | #4807 | C22 | 1 | 2 | yes | complemented |
| 100 | #4804 | C22 | 1 | 2 | yes | complemented |
| 101 | #4800 | C22 | 1 | 2 | yes | complemented |
| 102 | #4796 | C22 | 1 | 2 | yes | complemented |
| 103 | #4788 | C22 | 1 | 2 | yes | complemented |
| 104 | #4786 | C22 | 1 | 2 | yes | complemented |
| 105 | #4785 | C22 | 1 | 2 | yes | complemented |
| 106 | #4784 | C22 | 1 | 2 | yes | complemented |
| 107 | #4782 | C22 | 1 | 2 | yes | complemented |
| 108 | #4773 | C22 | 1 | 2 | yes | complemented |
| 109 | #4770 | C22 | 1 | 2 | yes | complemented |
| 110 | #4766 | C22 | 1 | 2 | yes | complemented |
| 111 | #4764 | C22 | 1 | 2 | yes | complemented |
| 112 | #4736 | C22 | 1 | 2 | yes | complemented |
| 113 | #4736 | C22 | 1 | 2 | yes | complemented |
| 114 | #4732 | C22 | 1 | 2 | yes | complemented |
| 115 | #4732 | C22 | 1 | 2 | yes | complemented |
| 116 | #4729 | C22 | 1 | 2 | yes | complemented |
| 117 | #4728 | C22 | 1 | 2 | yes | complemented |
| 118 | #4727 | C22 | 1 | 2 | yes | complemented |
| 119 | #4720 | C22 | 1 | 2 | yes | complemented |
| 120 | #3537 | — | 3 | 1 | no | — |
| 121 | #3488 | — | 3 | 1 | no | — |
| 122 | #3322 | — | 3 | 2 | no | — |
| 123 | #3318 | — | 3 | 2 | no | — |
| 124 | #3309 | — | 3 | 2 | no | — |
| 125 | #3301 | — | 3 | 2 | no | — |
| 126 | D4×D8 | — | 3 | 2 | no | — |
| 127 | #3274 | — | 3 | 2 | no | — |
| 128 | #3265 | — | 3 | 2 | no | — |
| 129 | #3264 | — | 3 | 2 | no | — |
| 130 | #3220 | — | 3 | 2 | no | — |
| 131 | #3198 | — | 3 | 2 | no | — |
| 132 | #3192 | — | 3 | 1 | no | — |
| 133 | #3186 | — | 3 | 1 | no | — |
| 134 | #3119 | — | 3 | 2 | no | — |
| 135 | #3008 | — | 3 | 2 | no | — |
| 136 | #3006 | — | 3 | 1 | no | — |
| 137 | C2×#449 | D3 | 1 | 1 | yes | characteristic, complemented |
| 138 | #2976 | — | 3 | 1 | no | — |
| 139 | C2×C3×#41 | — | 2 | 1 | no | — |
| 140 | C2×C3×#41 | — | 2 | 1 | no | — |
| 141 | C2×C3×#41 | — | 4 | 2 | no | — |
| 142 | C2×C3×#41 | — | 4 | 2 | no | — |
| 143 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 144 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 145 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 147 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 148 | C22×C3×D4 | — | 2 | 1 | no | — |
| 149 | C22×C3×D4 | — | 2 | 1 | no | — |
| 150 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 151 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 152 | C23×C3×C4 | — | 2 | 1 | no | — |
| 153 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 154 | C22×#67 | — | 2 | 1 | no | — |
| 155 | C22×#67 | — | 2 | 1 | no | — |
| 156 | C22×#67 | — | 2 | 2 | no | — |
| 157 | C22×#67 | — | 2 | 2 | no | — |
| 158 | #1009 | — | 4 | 2 | no | — |
| 159 | #1009 | — | 4 | 2 | no | — |
| 160 | C2×#239 | C23 | 1 | 2 | yes | — |
| 161 | C2×D3×D4 | — | 2 | 2 | no | — |
| 162 | C2×D3×D4 | — | 2 | 2 | no | — |
| 163 | C2×D3×D4 | C23 | 1 | 2 | yes | — |
| 164 | C2×D3×D4 | C23 | 1 | 2 | yes | — |
| 165 | C2×#235 | — | 2 | 1 | no | — |
| 166 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 167 | C22×D12 | — | 2 | 1 | no | — |
| 168 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 169 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 170 | C2×C3×SD16 | — | 4 | 2 | no | — |
| 171 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 172 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 173 | C2×C3×D8 | — | 4 | 2 | no | — |
| 174 | C2×C3×D8 | C23 | 1 | 2 | yes | — |
| 175 | C2×C3×D8 | C23 | 1 | 2 | yes | — |
| 176 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 177 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 178 | C3×#121 | — | 2 | 1 | no | — |
| 179 | C3×#121 | — | 2 | 1 | no | — |
| 180 | C3×#121 | C23 | 1 | 2 | yes | — |
| 181 | C3×#121 | C23 | 1 | 2 | yes | — |
| 182 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 183 | C2×C3×C22⋊C4 | — | 2 | 1 | no | — |
| 184 | #953 | — | 2 | 2 | no | — |
| 185 | #953 | — | 2 | 2 | no | — |
| 186 | #953 | D4 | 1 | 2 | yes | — |
| 187 | #949 | — | 4 | 2 | no | — |
| 188 | #949 | — | 4 | 2 | no | — |
| 189 | #947 | — | 2 | 2 | no | — |
| 190 | #947 | C23 | 1 | 2 | yes | — |
| 191 | #946 | — | 2 | 2 | no | — |
| 192 | #946 | C23 | 1 | 2 | yes | — |
| 193 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 194 | C2×#215 | C23 | 1 | 2 | yes | — |
| 195 | C2×#215 | C23 | 1 | 2 | yes | — |
| 196 | #940 | — | 2 | 2 | no | — |
| 197 | #940 | — | 2 | 2 | no | — |
| 198 | #940 | C23 | 1 | 2 | yes | — |
| 199 | #940 | C23 | 1 | 2 | yes | — |
| 200 | #939 | — | 2 | 2 | no | — |
| 201 | #939 | — | 2 | 2 | no | — |
| 202 | #939 | — | 2 | 2 | no | — |
| 203 | #939 | — | 2 | 2 | no | — |
| 204 | #939 | — | 2 | 2 | no | — |
| 205 | #939 | — | 2 | 2 | no | — |
| 206 | #938 | — | 2 | 2 | no | — |
| 207 | #938 | — | 2 | 2 | no | — |
| 208 | #938 | C23 | 1 | 2 | yes | — |
| 209 | #938 | C23 | 1 | 2 | yes | — |
| 210 | #937 | — | 2 | 2 | no | — |
| 211 | #937 | — | 2 | 2 | no | — |
| 212 | #937 | — | 2 | 2 | no | — |
| 213 | #937 | — | 2 | 2 | no | — |
| 214 | #937 | — | 2 | 2 | no | — |
| 215 | #937 | — | 2 | 2 | no | — |
| 216 | D4×Dic3 | — | 2 | 2 | no | — |
| 217 | D4×Dic3 | — | 2 | 2 | no | — |
| 218 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 219 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 220 | C2×#213 | C23 | 1 | 2 | yes | — |
| 221 | C2×#213 | C23 | 1 | 2 | yes | — |
| 222 | C2×#213 | C23 | 1 | 2 | yes | — |
| 223 | C2×#213 | C23 | 1 | 2 | yes | — |
| 224 | #930 | — | 2 | 1 | no | — |
| 225 | #930 | — | 2 | 1 | no | — |
| 226 | #930 | — | 2 | 1 | no | — |
| 227 | #930 | — | 2 | 1 | no | — |
| 228 | #930 | — | 2 | 2 | no | — |
| 229 | #930 | — | 2 | 2 | no | — |
| 230 | #930 | — | 2 | 1 | no | — |
| 231 | #930 | — | 2 | 2 | no | — |
| 232 | #930 | — | 2 | 1 | no | — |
| 233 | #930 | — | 2 | 1 | no | — |
| 234 | #930 | D4 | 1 | 1 | yes | characteristic |
| 235 | #930 | D4 | 1 | 1 | yes | characteristic |
| 236 | #930 | C23 | 1 | 2 | yes | — |
| 237 | #930 | C23 | 1 | 2 | yes | — |
| 238 | #930 | C23 | 1 | 2 | yes | — |
| 239 | #930 | C23 | 1 | 2 | yes | — |
| 240 | #929 | — | 2 | 2 | no | — |
| 241 | #929 | D4 | 1 | 2 | yes | — |
| 242 | C4×#67 | — | 2 | 2 | no | — |
| 243 | C4×#67 | — | 2 | 2 | no | — |
| 244 | C4×#67 | — | 2 | 2 | no | — |
| 245 | C4×#67 | C23 | 1 | 2 | yes | — |
| 246 | C4×#67 | C23 | 1 | 2 | yes | — |
| 247 | C2×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 248 | C2×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 249 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 250 | #926 | — | 2 | 1 | no | — |
| 251 | #926 | C23 | 1 | 1 | yes | characteristic |
| 252 | C2×C4⋊Dic3 | — | 2 | 1 | no | — |
| 253 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 254 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 255 | #924 | — | 2 | 1 | no | — |
| 256 | #924 | D4 | 1 | 1 | yes | characteristic |
| 257 | #924 | D4 | 1 | 1 | yes | characteristic |
| 258 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 259 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 260 | #914 | — | 4 | 4 | no | — |
| 261 | D3×D8 | — | 4 | 4 | no | — |
| 262 | C2×D24 | C23 | 1 | 2 | yes | — |
| 263 | C2×D24 | C23 | 1 | 2 | yes | — |
| 264 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 265 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 266 | #898 | — | 2 | 2 | no | — |
| 267 | #895 | C23 | 1 | 2 | yes | — |
| 268 | #894 | — | 2 | 2 | no | — |
| 269 | #893 | C23 | 1 | 2 | yes | — |
| 270 | #892 | C23 | 1 | 2 | yes | — |
| 271 | #890 | C23 | 1 | 2 | yes | — |
| 272 | #886 | — | 2 | 2 | no | — |
| 273 | #886 | — | 2 | 2 | no | — |
| 274 | #885 | — | 2 | 2 | no | — |
| 275 | #884 | — | 2 | 2 | no | — |
| 276 | #883 | — | 2 | 2 | no | — |
| 277 | #882 | — | 2 | 2 | no | — |
| 278 | #882 | — | 2 | 2 | no | — |
| 279 | #879 | — | 2 | 2 | no | — |
| 280 | C3×#103 | C23 | 1 | 2 | yes | — |
| 281 | C3×#103 | C23 | 1 | 2 | yes | — |
| 282 | C3×#102 | C23 | 1 | 2 | yes | — |
| 283 | C3×#102 | C23 | 1 | 2 | yes | — |
| 284 | C3×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 285 | C3×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 286 | #835 | C23 | 1 | 2 | yes | — |
| 287 | #835 | C23 | 1 | 2 | yes | — |
| 288 | #832 | C23 | 1 | 2 | yes | — |
| 289 | #832 | C23 | 1 | 2 | yes | — |
| 290 | #832 | C23 | 1 | 2 | yes | — |
| 291 | #832 | C23 | 1 | 2 | yes | — |
| 292 | #830 | C23 | 1 | 2 | yes | — |
| 293 | #830 | C23 | 1 | 2 | yes | — |
| 294 | #821 | C23 | 1 | 2 | yes | — |
| 295 | #821 | C23 | 1 | 2 | yes | — |
| 296 | #821 | C23 | 1 | 2 | yes | — |
| 297 | #821 | C23 | 1 | 2 | yes | — |
| 298 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 299 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 300 | #818 | C23 | 1 | 2 | yes | — |
| 301 | #818 | C23 | 1 | 2 | yes | — |
| 302 | #815 | C23 | 1 | 2 | yes | — |
| 303 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 304 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 305 | C8×Dic3 | C23 | 1 | 2 | yes | — |
| 306 | #809 | C23 | 1 | 2 | yes | — |
| 307 | #809 | C23 | 1 | 2 | yes | — |
| 308 | #808 | C23 | 1 | 2 | yes | — |
| 309 | #808 | C23 | 1 | 2 | yes | — |
| 310 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 311 | C22×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 312 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 313 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 314 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 315 | C22×SD16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 316 | C22×D8 | — | 3 | 2 | no | — |
| 317 | C22×D8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 318 | #560 | — | 6 | 2 | no | — |
| 319 | #553 | — | 3 | 2 | no | — |
| 320 | #553 | — | 3 | 2 | no | — |
| 321 | #550 | — | 3 | 2 | no | — |
| 322 | #548 | — | 3 | 2 | no | — |
| 323 | #546 | — | 3 | 2 | no | — |
| 324 | #546 | — | 6 | 2 | no | — |
| 325 | D42 | — | 3 | 2 | no | — |
| 326 | D42 | — | 3 | 2 | no | — |
| 327 | D42 | — | 3 | 2 | no | — |
| 328 | D42 | — | 6 | 2 | no | — |
| 329 | D42 | — | 6 | 2 | no | — |
| 330 | #540 | — | 3 | 2 | no | — |
| 331 | #538 | — | 6 | 1 | no | — |
| 332 | #538 | — | 6 | 1 | no | — |
| 333 | #537 | — | 3 | 1 | no | — |
| 334 | #537 | — | 6 | 1 | no | — |
| 335 | #535 | — | 3 | 2 | no | — |
| 336 | #535 | — | 3 | 1 | no | — |
| 337 | #535 | — | 6 | 1 | no | — |
| 338 | #534 | — | 6 | 1 | no | — |
| 339 | #534 | — | 6 | 1 | no | — |
| 340 | #525 | — | 3 | 1 | no | — |
| 341 | #525 | — | 6 | 1 | no | — |
| 342 | C2×#121 | — | 3 | 1 | no | — |
| 343 | C2×#121 | — | 3 | 1 | no | — |
| 344 | C2×#121 | — | 6 | 1 | no | — |
| 345 | C2×#121 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 346 | #520 | — | 3 | 1 | no | — |
| 347 | #496 | — | 3 | 2 | no | — |
| 348 | #493 | — | 3 | 2 | no | — |
| 349 | #490 | — | 3 | 2 | no | — |
| 350 | #488 | — | 3 | 2 | no | — |
| 351 | #485 | — | 3 | 2 | no | — |
| 352 | #482 | — | 3 | 2 | no | — |
| 353 | #481 | — | 3 | 2 | no | — |
| 354 | #481 | — | 3 | 2 | no | — |
| 355 | #480 | — | 3 | 2 | no | — |
| 356 | #480 | — | 3 | 2 | no | — |
| 357 | #479 | — | 3 | 2 | no | — |
| 358 | #478 | — | 3 | 2 | no | — |
| 359 | #469 | — | 3 | 2 | no | — |
| 360 | #469 | — | 3 | 2 | no | — |
| 361 | #469 | — | 3 | 2 | no | — |
| 362 | #468 | — | 3 | 2 | no | — |
| 363 | #466 | — | 3 | 2 | no | — |
| 364 | #466 | — | 3 | 2 | no | — |
| 365 | #466 | — | 3 | 2 | no | — |
| 366 | #465 | — | 3 | 2 | no | — |
| 367 | #463 | — | 3 | 2 | no | — |
| 368 | #463 | — | 3 | 2 | no | — |
| 369 | #460 | — | 3 | 2 | no | — |
| 370 | #459 | — | 3 | 2 | no | — |
| 371 | #459 | — | 3 | 2 | no | — |
| 372 | #459 | — | 3 | 2 | no | — |
| 373 | #450 | — | 3 | 2 | no | — |
| 374 | #449 | — | 3 | 2 | no | — |
| 375 | #449 | — | 3 | 2 | no | — |
| 376 | #449 | — | 3 | 2 | no | — |
| 377 | #449 | — | 3 | 2 | no | — |
| 378 | #449 | C2×D3 | 1 | 2 | yes | complemented |
| 379 | #449 | C2×D3 | 1 | 2 | yes | complemented |
| 380 | #449 | C2×D3 | 1 | 2 | yes | complemented |
| 381 | #449 | C2×D3 | 1 | 2 | yes | complemented |
| 382 | #448 | — | 3 | 2 | no | — |
| 383 | #447 | — | 3 | 2 | no | — |
| 384 | #447 | — | 3 | 2 | no | — |
| 385 | #447 | — | 3 | 2 | no | — |
| 386 | #447 | — | 3 | 2 | no | — |
| 387 | #447 | — | 3 | 2 | no | — |
| 388 | #447 | — | 3 | 2 | no | — |
| 389 | #447 | — | 3 | 2 | no | — |
| 390 | #447 | — | 3 | 2 | no | — |
| 391 | #442 | — | 3 | 2 | no | — |
| 392 | #440 | — | 3 | 2 | no | — |
| 393 | C4×SD16 | — | 3 | 2 | no | — |
| 394 | C4×D8 | — | 3 | 2 | no | — |
| 395 | #436 | — | 3 | 2 | no | — |
| 396 | #435 | — | 3 | 2 | no | — |
| 397 | #435 | — | 3 | 2 | no | — |
| 398 | C8×D4 | — | 3 | 2 | no | — |
| 399 | #433 | — | 3 | 2 | no | — |
| 400 | #418 | — | 3 | 2 | no | — |
| 401 | #417 | — | 3 | 1 | no | — |
| 402 | #417 | — | 3 | 1 | no | — |
| 403 | #416 | — | 3 | 2 | no | — |
| 404 | C2×#103 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 405 | C2×#102 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 406 | #408 | — | 3 | 2 | no | — |
| 407 | #407 | — | 3 | 1 | no | — |
| 408 | C2×C22⋊C8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 409 | C24×C3 | — | 2 | 1 | no | — |
| 410 | C24×C3 | — | 2 | 1 | no | — |
| 411 | C24×C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 412 | C23×D3 | — | 2 | 1 | no | — |
| 413 | C23×D3 | — | 2 | 1 | no | — |
| 414 | C23×D3 | — | 2 | 2 | no | — |
| 415 | C23×D3 | — | 2 | 2 | no | — |
| 416 | C3×#41 | — | 2 | 2 | no | — |
| 417 | C3×#41 | — | 2 | 2 | no | — |
| 418 | C3×#41 | — | 2 | 2 | no | — |
| 419 | C3×#41 | — | 2 | 2 | no | — |
| 420 | C3×#41 | — | 4 | 1 | no | — |
| 421 | C3×#41 | — | 4 | 1 | no | — |
| 422 | C3×#41 | — | 4 | 1 | no | — |
| 423 | C3×#41 | — | 4 | 1 | no | — |
| 424 | C3×#41 | — | 4 | 4 | no | — |
| 425 | C3×#41 | — | 4 | 4 | no | — |
| 426 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 427 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 428 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 429 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 430 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 431 | C2×C3×D4 | — | 2 | 1 | no | — |
| 432 | C2×C3×D4 | — | 2 | 2 | no | — |
| 433 | C2×C3×D4 | — | 2 | 2 | no | — |
| 434 | C2×C3×D4 | — | 2 | 1 | no | — |
| 435 | C2×C3×D4 | — | 2 | 1 | no | — |
| 436 | C2×C3×D4 | — | 2 | 1 | no | — |
| 437 | C2×C3×D4 | — | 2 | 2 | no | — |
| 438 | C2×C3×D4 | — | 2 | 1 | no | — |
| 439 | C2×C3×D4 | — | 2 | 1 | no | — |
| 440 | C2×C3×D4 | — | 4 | 1 | no | — |
| 441 | C2×C3×D4 | — | 4 | 1 | no | — |
| 442 | C2×C3×D4 | — | 4 | 1 | no | — |
| 443 | C2×C3×D4 | — | 4 | 4 | no | — |
| 444 | C2×C3×D4 | — | 8 | 2 | no | — |
| 445 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 446 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 447 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 448 | C22×C3×C4 | — | 2 | 1 | no | — |
| 449 | C22×C3×C4 | — | 2 | 1 | no | — |
| 450 | C22×C3×C4 | — | 2 | 1 | no | — |
| 451 | C22×C3×C4 | — | 2 | 1 | no | — |
| 452 | C22×C3×C4 | — | 2 | 1 | no | — |
| 453 | C22×C3×C4 | — | 2 | 1 | no | — |
| 454 | C22×C3×C4 | — | 4 | 1 | no | — |
| 455 | C22×C3×C4 | — | 4 | 1 | no | — |
| 456 | C22×C3×C4 | — | 4 | 4 | no | — |
| 457 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 458 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 459 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 460 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 461 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 462 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 463 | C2×#67 | — | 2 | 2 | no | — |
| 464 | C2×#67 | — | 2 | 2 | no | — |
| 465 | C2×#67 | — | 2 | 2 | no | — |
| 466 | C2×#67 | — | 2 | 2 | no | — |
| 467 | C2×#67 | — | 2 | 2 | no | — |
| 468 | C2×#67 | — | 2 | 2 | no | — |
| 469 | C2×#67 | — | 2 | 2 | no | — |
| 470 | C2×#67 | — | 2 | 2 | no | — |
| 471 | C2×#67 | — | 2 | 2 | no | — |
| 472 | C2×#67 | — | 2 | 2 | no | — |
| 473 | C2×#67 | — | 2 | 2 | no | — |
| 474 | C2×#67 | — | 2 | 2 | no | — |
| 475 | C2×#67 | — | 8 | 4 | no | — |
| 476 | C2×#67 | — | 8 | 4 | no | — |
| 477 | C2×#67 | — | 8 | 2 | no | — |
| 478 | C2×#67 | — | 8 | 2 | no | — |
| 479 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 480 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 481 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 482 | C22×Dic3 | — | 2 | 1 | no | — |
| 483 | C22×Dic3 | — | 2 | 1 | no | — |
| 484 | C22×Dic3 | — | 2 | 2 | no | — |
| 485 | C22×Dic3 | — | 2 | 2 | no | — |
| 486 | #239 | — | 2 | 4 | no | — |
| 487 | #239 | — | 4 | 2 | no | — |
| 488 | D3×D4 | — | 2 | 4 | no | — |
| 489 | D3×D4 | — | 4 | 2 | no | — |
| 490 | D3×D4 | — | 4 | 2 | no | — |
| 491 | D3×D4 | — | 4 | 2 | no | — |
| 492 | D3×D4 | — | 4 | 8 | no | — |
| 493 | D3×D4 | — | 8 | 4 | no | — |
| 494 | #235 | — | 4 | 1 | no | — |
| 495 | #235 | — | 4 | 1 | no | — |
| 496 | #235 | — | 4 | 4 | no | — |
| 497 | C2×D12 | — | 2 | 2 | no | — |
| 498 | C2×D12 | — | 2 | 1 | no | — |
| 499 | C2×D12 | — | 2 | 2 | no | — |
| 500 | C2×D12 | — | 2 | 1 | no | — |
| 501 | C2×D12 | — | 4 | 1 | no | — |
| 502 | C2×D12 | — | 4 | 1 | no | — |
| 503 | C2×D12 | — | 4 | 1 | no | — |
| 504 | C2×D12 | — | 4 | 1 | no | — |
| 505 | C2×D12 | — | 4 | 4 | no | — |
| 506 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 507 | C2×D12 | C24 | 1 | 2 | yes | — |
| 508 | C2×D12 | C24 | 1 | 2 | yes | — |
| 509 | C2×C4×D3 | — | 2 | 2 | no | — |
| 510 | C2×C4×D3 | — | 2 | 2 | no | — |
| 511 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 512 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 513 | C3×SD16 | — | 2 | 4 | no | — |
| 514 | C3×SD16 | — | 4 | 2 | no | — |
| 515 | C3×D8 | — | 2 | 4 | no | — |
| 516 | C3×D8 | — | 4 | 2 | no | — |
| 517 | C2×C3×C8 | — | 4 | 1 | no | — |
| 518 | C2×C3×C8 | — | 4 | 1 | no | — |
| 519 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 520 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 521 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 522 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 523 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 524 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 525 | #217 | — | 2 | 2 | no | — |
| 526 | #217 | — | 2 | 2 | no | — |
| 527 | #217 | — | 2 | 2 | no | — |
| 528 | #217 | — | 2 | 2 | no | — |
| 529 | #217 | C2×D4 | 1 | 2 | yes | — |
| 530 | #217 | C2×D4 | 1 | 2 | yes | — |
| 531 | #217 | C2×D4 | 1 | 2 | yes | — |
| 532 | #215 | — | 2 | 4 | no | — |
| 533 | #215 | — | 4 | 2 | no | — |
| 534 | #213 | — | 2 | 4 | no | — |
| 535 | #213 | — | 4 | 2 | no | — |
| 536 | #213 | — | 4 | 2 | no | — |
| 537 | #213 | — | 4 | 2 | no | — |
| 538 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 539 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 540 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 541 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 542 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 543 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 544 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 545 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 546 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 547 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 548 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 549 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 550 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 551 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 552 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 553 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 554 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 555 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 556 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 557 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 558 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 559 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 560 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 561 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 562 | C4×Dic3 | — | 2 | 2 | no | — |
| 563 | C4×Dic3 | — | 2 | 2 | no | — |
| 564 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 565 | #208 | — | 4 | 1 | no | — |
| 566 | #208 | — | 4 | 1 | no | — |
| 567 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 568 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 569 | D24 | — | 4 | 2 | no | — |
| 570 | D24 | — | 4 | 2 | no | — |
| 571 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 572 | D3×C8 | — | 4 | 2 | no | — |
| 573 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 574 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 575 | C2×#41 | — | 2 | 1 | no | — |
| 576 | C2×#41 | — | 2 | 1 | no | — |
| 577 | C2×#41 | — | 3 | 1 | no | — |
| 578 | C2×#41 | — | 3 | 2 | no | — |
| 579 | C2×#41 | — | 4 | 2 | no | — |
| 580 | C2×#41 | — | 4 | 2 | no | — |
| 581 | C2×#41 | — | 6 | 1 | no | — |
| 582 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 583 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 584 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 585 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 586 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 587 | C22×D4 | — | 2 | 1 | no | — |
| 588 | C22×D4 | — | 2 | 1 | no | — |
| 589 | C22×D4 | — | 3 | 2 | no | — |
| 590 | C22×D4 | — | 3 | 2 | no | — |
| 591 | C22×D4 | — | 3 | 1 | no | — |
| 592 | C22×D4 | — | 3 | 1 | no | — |
| 593 | C22×D4 | — | 6 | 1 | no | — |
| 594 | C22×D4 | — | 6 | 2 | no | — |
| 595 | C22×D4 | — | 6 | 2 | no | — |
| 596 | C22×D4 | — | 6 | 2 | no | — |
| 597 | C22×D4 | — | 6 | 2 | no | — |
| 598 | C22×D4 | — | 6 | 1 | no | — |
| 599 | C22×D4 | — | 6 | 1 | no | — |
| 600 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 601 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 602 | C23×C4 | — | 2 | 1 | no | — |
| 603 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 604 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 605 | AGL(1,ℤ/8) | — | 12 | 4 | no | — |
| 606 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 607 | C2×SD16 | — | 3 | 2 | no | — |
| 608 | C2×SD16 | — | 3 | 2 | no | — |
| 609 | C2×SD16 | — | 4 | 2 | no | — |
| 610 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 611 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 612 | C2×D8 | — | 3 | 2 | no | — |
| 613 | C2×D8 | — | 3 | 2 | no | — |
| 614 | C2×D8 | — | 3 | 2 | no | — |
| 615 | C2×D8 | — | 3 | 2 | no | — |
| 616 | C2×D8 | — | 3 | 2 | no | — |
| 617 | C2×D8 | — | 3 | 2 | no | — |
| 618 | C2×D8 | — | 4 | 2 | no | — |
| 619 | C2×D8 | — | 12 | 4 | no | — |
| 620 | C2×D8 | C22×D3 | 1 | 2 | yes | — |
| 621 | C2×D8 | C22×D3 | 1 | 2 | yes | — |
| 622 | C2×M16 | — | 3 | 1 | no | — |
| 623 | C2×M16 | — | 3 | 1 | no | — |
| 624 | C2×M16 | — | 3 | 2 | no | — |
| 625 | C22×C8 | — | 3 | 2 | no | — |
| 626 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 627 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 628 | #127 | — | 3 | 2 | no | — |
| 629 | #127 | — | 3 | 2 | no | — |
| 630 | #127 | — | 6 | 2 | no | — |
| 631 | #127 | — | 6 | 2 | no | — |
| 632 | #126 | — | 6 | 2 | no | — |
| 633 | #126 | — | 6 | 2 | no | — |
| 634 | #125 | — | 3 | 2 | no | — |
| 635 | #124 | — | 3 | 2 | no | — |
| 636 | #124 | — | 6 | 2 | no | — |
| 637 | #124 | — | 6 | 2 | no | — |
| 638 | #123 | — | 3 | 2 | no | — |
| 639 | #123 | — | 6 | 2 | no | — |
| 640 | #123 | — | 6 | 2 | no | — |
| 641 | #123 | — | 6 | 2 | no | — |
| 642 | #123 | — | 6 | 2 | no | — |
| 643 | #123 | — | 6 | 2 | no | — |
| 644 | C22⋊Q8 | — | 3 | 1 | no | — |
| 645 | C22⋊Q8 | — | 3 | 1 | no | — |
| 646 | C22⋊Q8 | — | 3 | 2 | no | — |
| 647 | C22⋊Q8 | — | 6 | 2 | no | — |
| 648 | C22⋊Q8 | — | 6 | 1 | no | — |
| 649 | #121 | — | 2 | 1 | no | — |
| 650 | #121 | — | 2 | 1 | no | — |
| 651 | #121 | — | 3 | 1 | no | — |
| 652 | #121 | — | 3 | 1 | no | — |
| 653 | #121 | — | 3 | 2 | no | — |
| 654 | #121 | — | 3 | 2 | no | — |
| 655 | #121 | — | 3 | 2 | no | — |
| 656 | #121 | — | 3 | 2 | no | — |
| 657 | #121 | — | 3 | 2 | no | — |
| 658 | #121 | — | 3 | 2 | no | — |
| 659 | #121 | — | 3 | 2 | no | — |
| 660 | #121 | — | 6 | 2 | no | — |
| 661 | #121 | — | 6 | 2 | no | — |
| 662 | #121 | — | 6 | 2 | no | — |
| 663 | #121 | — | 6 | 2 | no | — |
| 664 | #121 | — | 6 | 2 | no | — |
| 665 | #121 | — | 6 | 2 | no | — |
| 666 | #121 | — | 6 | 1 | no | — |
| 667 | #121 | — | 6 | 1 | no | — |
| 668 | #121 | — | 6 | 2 | no | — |
| 669 | #121 | — | 6 | 2 | no | — |
| 670 | #121 | — | 6 | 1 | no | — |
| 671 | #121 | — | 6 | 2 | no | — |
| 672 | #121 | — | 6 | 2 | no | — |
| 673 | #121 | — | 6 | 2 | no | — |
| 674 | #121 | — | 6 | 2 | no | — |
| 675 | #121 | — | 6 | 1 | no | — |
| 676 | #121 | — | 6 | 1 | no | — |
| 677 | #121 | — | 6 | 1 | no | — |
| 678 | #121 | — | 6 | 1 | no | — |
| 679 | #121 | C22×D3 | 1 | 2 | yes | — |
| 680 | #121 | C22×D3 | 1 | 2 | yes | — |
| 681 | #120 | — | 3 | 2 | no | — |
| 682 | #120 | — | 6 | 2 | no | — |
| 683 | #120 | — | 6 | 2 | no | — |
| 684 | #120 | — | 6 | 2 | no | — |
| 685 | #120 | — | 6 | 2 | no | — |
| 686 | #120 | — | 6 | 2 | no | — |
| 687 | #120 | — | 6 | 2 | no | — |
| 688 | #120 | — | 6 | 2 | no | — |
| 689 | #120 | — | 6 | 2 | no | — |
| 690 | #120 | — | 6 | 2 | no | — |
| 691 | #120 | — | 6 | 2 | no | — |
| 692 | C4×Q8 | — | 3 | 2 | no | — |
| 693 | C4×D4 | — | 3 | 2 | no | — |
| 694 | C4×D4 | — | 3 | 2 | no | — |
| 695 | C4×D4 | — | 3 | 2 | no | — |
| 696 | C4×D4 | — | 3 | 2 | no | — |
| 697 | C4×D4 | — | 3 | 2 | no | — |
| 698 | C4×D4 | — | 6 | 2 | no | — |
| 699 | C4×D4 | — | 6 | 2 | no | — |
| 700 | C4×D4 | — | 6 | 2 | no | — |
| 701 | C4×D4 | — | 6 | 2 | no | — |
| 702 | C4×D4 | — | 6 | 2 | no | — |
| 703 | #117 | — | 3 | 1 | no | — |
| 704 | #117 | — | 3 | 2 | no | — |
| 705 | #117 | — | 6 | 1 | no | — |
| 706 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 707 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 708 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 709 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 710 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 711 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 712 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 713 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 714 | #107 | — | 3 | 2 | no | — |
| 715 | #107 | — | 3 | 2 | no | — |
| 716 | #106 | — | 3 | 2 | no | — |
| 717 | #106 | — | 3 | 2 | no | — |
| 718 | C4⋊C8 | — | 3 | 2 | no | — |
| 719 | C4⋊C8 | — | 3 | 2 | no | — |
| 720 | #103 | — | 3 | 2 | no | — |
| 721 | #103 | — | 3 | 2 | no | — |
| 722 | #103 | C22×D3 | 1 | 2 | yes | — |
| 723 | #103 | C22×D3 | 1 | 2 | yes | — |
| 724 | #102 | — | 3 | 2 | no | — |
| 725 | #102 | — | 3 | 2 | no | — |
| 726 | #102 | — | 3 | 2 | no | — |
| 727 | #102 | — | 3 | 2 | no | — |
| 728 | #102 | — | 3 | 2 | no | — |
| 729 | #102 | — | 3 | 2 | no | — |
| 730 | #102 | — | 3 | 2 | no | — |
| 731 | #102 | — | 3 | 2 | no | — |
| 732 | #102 | — | 3 | 2 | no | — |
| 733 | #102 | — | 3 | 2 | no | — |
| 734 | #102 | C22×D3 | 1 | 2 | yes | — |
| 735 | #102 | C22×D3 | 1 | 2 | yes | — |
| 736 | C22⋊C8 | — | 3 | 2 | no | — |
| 737 | C22⋊C8 | — | 3 | 2 | no | — |
| 738 | C22⋊C8 | — | 3 | 2 | no | — |
| 739 | C22⋊C8 | — | 3 | 2 | no | — |
| 740 | C22⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 741 | C22⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 742 | #97 | — | 3 | 2 | no | — |
| 743 | C4×C8 | — | 3 | 2 | no | — |
| 744 | C23×C3 | — | 2 | 1 | no | — |
| 745 | C23×C3 | — | 2 | 2 | no | — |
| 746 | C23×C3 | — | 2 | 2 | no | — |
| 747 | C23×C3 | — | 2 | 1 | no | — |
| 748 | C23×C3 | — | 4 | 1 | no | — |
| 749 | C23×C3 | — | 4 | 1 | no | — |
| 750 | C23×C3 | — | 4 | 2 | no | — |
| 751 | C23×C3 | — | 4 | 2 | no | — |
| 752 | C23×C3 | — | 4 | 2 | no | — |
| 753 | C23×C3 | — | 8 | 1 | no | — |
| 754 | C23×C3 | — | 8 | 1 | no | — |
| 755 | C23×C3 | — | 8 | 1 | no | — |
| 756 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 757 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 758 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 759 | C22×D3 | — | 2 | 2 | no | — |
| 760 | C22×D3 | — | 2 | 2 | no | — |
| 761 | C22×D3 | — | 4 | 4 | no | — |
| 762 | C22×D3 | — | 4 | 2 | no | — |
| 763 | C22×D3 | — | 4 | 2 | no | — |
| 764 | C22×D3 | — | 8 | 2 | no | — |
| 765 | C22×D3 | — | 8 | 2 | no | — |
| 766 | C22×D3 | — | 8 | 2 | no | — |
| 767 | C22×D3 | — | 8 | 2 | no | — |
| 768 | C22×D3 | — | 8 | 2 | no | — |
| 769 | C22×D3 | — | 8 | 1 | no | — |
| 770 | C22×D3 | — | 8 | 1 | no | — |
| 771 | C22×D3 | — | 8 | 1 | no | — |
| 772 | C22×D3 | — | 8 | 1 | no | — |
| 773 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 774 | C3×Q8 | — | 2 | 1 | no | — |
| 775 | C3×Q8 | — | 2 | 1 | no | — |
| 776 | C3×Q8 | — | 2 | 1 | no | — |
| 777 | C3×Q8 | — | 4 | 2 | no | — |
| 778 | C3×Q8 | H(5,𝔽2) | 1 | 2 | yes | — |
| 779 | C3×D4 | — | 2 | 4 | no | — |
| 780 | C3×D4 | — | 2 | 1 | no | — |
| 781 | C3×D4 | — | 2 | 1 | no | — |
| 782 | C3×D4 | — | 2 | 2 | no | — |
| 783 | C3×D4 | — | 2 | 2 | no | — |
| 784 | C3×D4 | — | 2 | 1 | no | — |
| 785 | C3×D4 | — | 4 | 2 | no | — |
| 786 | C3×D4 | — | 4 | 2 | no | — |
| 787 | C3×D4 | — | 4 | 2 | no | — |
| 788 | C3×D4 | — | 4 | 4 | no | — |
| 789 | C3×D4 | — | 4 | 2 | no | — |
| 790 | C3×D4 | — | 8 | 1 | no | — |
| 791 | C3×D4 | — | 8 | 2 | no | — |
| 792 | C3×D4 | H(5,𝔽2) | 1 | 2 | yes | — |
| 793 | C2×C3×C4 | — | 2 | 4 | no | — |
| 794 | C2×C3×C4 | — | 2 | 1 | no | — |
| 795 | C2×C3×C4 | — | 2 | 1 | no | — |
| 796 | C2×C3×C4 | — | 2 | 1 | no | — |
| 797 | C2×C3×C4 | — | 2 | 1 | no | — |
| 798 | C2×C3×C4 | — | 2 | 1 | no | — |
| 799 | C2×C3×C4 | — | 2 | 1 | no | — |
| 800 | C2×C3×C4 | — | 2 | 1 | no | — |
| 801 | C2×C3×C4 | — | 2 | 2 | no | — |
| 802 | C2×C3×C4 | — | 2 | 1 | no | — |
| 803 | C2×C3×C4 | — | 4 | 1 | no | — |
| 804 | C2×C3×C4 | — | 4 | 1 | no | — |
| 805 | C2×C3×C4 | — | 4 | 1 | no | — |
| 806 | C2×C3×C4 | — | 4 | 2 | no | — |
| 807 | C2×C3×C4 | — | 4 | 2 | no | — |
| 808 | C2×C3×C4 | — | 4 | 2 | no | — |
| 809 | C2×C3×C4 | — | 4 | 2 | no | — |
| 810 | C2×C3×C4 | — | 8 | 1 | no | — |
| 811 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 812 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 813 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 814 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 815 | #67 | — | 2 | 4 | no | — |
| 816 | #67 | — | 4 | 2 | no | — |
| 817 | #67 | — | 4 | 2 | no | — |
| 818 | #67 | — | 4 | 4 | no | — |
| 819 | #67 | — | 4 | 4 | no | — |
| 820 | #67 | — | 4 | 4 | no | — |
| 821 | #67 | — | 8 | 2 | no | — |
| 822 | #67 | — | 8 | 2 | no | — |
| 823 | #67 | — | 8 | 2 | no | — |
| 824 | #67 | — | 8 | 2 | no | — |
| 825 | #67 | — | 8 | 2 | no | — |
| 826 | #67 | — | 8 | 2 | no | — |
| 827 | #67 | — | 8 | 2 | no | — |
| 828 | #67 | — | 8 | 2 | no | — |
| 829 | #67 | — | 8 | 2 | no | — |
| 830 | C2×Dic3 | — | 2 | 2 | no | — |
| 831 | C2×Dic3 | — | 2 | 2 | no | — |
| 832 | C2×Dic3 | — | 8 | 2 | no | — |
| 833 | C2×Dic3 | — | 8 | 2 | no | — |
| 834 | C2×Dic3 | — | 8 | 1 | no | — |
| 835 | C2×Dic3 | — | 8 | 1 | no | — |
| 836 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 837 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 838 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 839 | D12 | — | 2 | 2 | no | — |
| 840 | D12 | — | 2 | 2 | no | — |
| 841 | D12 | — | 2 | 2 | no | — |
| 842 | D12 | — | 2 | 2 | no | — |
| 843 | D12 | — | 4 | 1 | no | — |
| 844 | D12 | — | 4 | 4 | no | — |
| 845 | D12 | — | 4 | 2 | no | — |
| 846 | D12 | — | 8 | 1 | no | — |
| 847 | D12 | — | 8 | 2 | no | — |
| 848 | C4×D3 | — | 2 | 2 | no | — |
| 849 | C4×D3 | — | 2 | 2 | no | — |
| 850 | C4×D3 | — | 4 | 4 | no | — |
| 851 | C4×D3 | — | 8 | 2 | no | — |
| 852 | Dic6 | — | 4 | 1 | no | — |
| 853 | C3×C8 | — | 2 | 2 | no | — |
| 854 | C3×C8 | — | 2 | 2 | no | — |
| 855 | C3⋊C8 | — | 2 | 2 | no | — |
| 856 | C3⋊C8 | — | 2 | 2 | no | — |
| 857 | C24 | — | 2 | 1 | no | — |
| 858 | C24 | — | 2 | 1 | no | — |
| 859 | C24 | — | 6 | 2 | no | — |
| 860 | C24 | — | 6 | 2 | no | — |
| 861 | C24 | — | 6 | 1 | no | — |
| 862 | C24 | — | 6 | 1 | no | — |
| 863 | C24 | D3×D4 | 1 | 1 | yes | characteristic |
| 864 | #41 | — | 2 | 2 | no | — |
| 865 | #41 | — | 2 | 2 | no | — |
| 866 | #41 | — | 2 | 2 | no | — |
| 867 | #41 | — | 2 | 2 | no | — |
| 868 | #41 | — | 4 | 1 | no | — |
| 869 | #41 | — | 4 | 1 | no | — |
| 870 | #41 | — | 4 | 1 | no | — |
| 871 | #41 | — | 4 | 1 | no | — |
| 872 | #41 | — | 4 | 4 | no | — |
| 873 | #41 | — | 4 | 4 | no | — |
| 874 | #41 | — | 6 | 4 | no | — |
| 875 | #41 | — | 12 | 1 | no | — |
| 876 | #41 | — | 12 | 1 | no | — |
| 877 | #41 | — | 12 | 4 | no | — |
| 878 | #41 | — | 12 | 2 | no | — |
| 879 | C2×Q8 | — | 2 | 1 | no | — |
| 880 | C2×Q8 | — | 2 | 2 | no | — |
| 881 | C2×Q8 | — | 3 | 1 | no | — |
| 882 | C2×Q8 | — | 4 | 1 | no | — |
| 883 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 884 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 885 | C2×D4 | — | 2 | 1 | no | — |
| 886 | C2×D4 | — | 2 | 2 | no | — |
| 887 | C2×D4 | — | 2 | 2 | no | — |
| 888 | C2×D4 | — | 2 | 1 | no | — |
| 889 | C2×D4 | — | 2 | 1 | no | — |
| 890 | C2×D4 | — | 2 | 1 | no | — |
| 891 | C2×D4 | — | 2 | 2 | no | — |
| 892 | C2×D4 | — | 2 | 1 | no | — |
| 893 | C2×D4 | — | 2 | 1 | no | — |
| 894 | C2×D4 | — | 3 | 2 | no | — |
| 895 | C2×D4 | — | 3 | 2 | no | — |
| 896 | C2×D4 | — | 3 | 2 | no | — |
| 897 | C2×D4 | — | 3 | 1 | no | — |
| 898 | C2×D4 | — | 3 | 2 | no | — |
| 899 | C2×D4 | — | 3 | 2 | no | — |
| 900 | C2×D4 | — | 4 | 1 | no | — |
| 901 | C2×D4 | — | 4 | 1 | no | — |
| 902 | C2×D4 | — | 4 | 1 | no | — |
| 903 | C2×D4 | — | 4 | 4 | no | — |
| 904 | C2×D4 | — | 6 | 2 | no | — |
| 905 | C2×D4 | — | 6 | 2 | no | — |
| 906 | C2×D4 | — | 6 | 2 | no | — |
| 907 | C2×D4 | — | 6 | 2 | no | — |
| 908 | C2×D4 | — | 6 | 2 | no | — |
| 909 | C2×D4 | — | 6 | 2 | no | — |
| 910 | C2×D4 | — | 6 | 2 | no | — |
| 911 | C2×D4 | — | 6 | 2 | no | — |
| 912 | C2×D4 | — | 6 | 4 | no | — |
| 913 | C2×D4 | — | 6 | 2 | no | — |
| 914 | C2×D4 | — | 6 | 2 | no | — |
| 915 | C2×D4 | — | 6 | 2 | no | — |
| 916 | C2×D4 | — | 6 | 2 | no | — |
| 917 | C2×D4 | — | 6 | 2 | no | — |
| 918 | C2×D4 | — | 6 | 2 | no | — |
| 919 | C2×D4 | — | 6 | 1 | no | — |
| 920 | C2×D4 | — | 6 | 1 | no | — |
| 921 | C2×D4 | — | 8 | 2 | no | — |
| 922 | C2×D4 | — | 12 | 1 | no | — |
| 923 | C2×D4 | — | 12 | 1 | no | — |
| 924 | C2×D4 | — | 12 | 1 | no | — |
| 925 | C2×D4 | — | 12 | 1 | no | — |
| 926 | C2×D4 | — | 12 | 4 | no | — |
| 927 | C2×D4 | — | 12 | 2 | no | — |
| 928 | C2×D4 | — | 12 | 2 | no | — |
| 929 | C2×D4 | — | 12 | 2 | no | — |
| 930 | C2×D4 | — | 12 | 8 | no | — |
| 931 | C2×D4 | — | 24 | 4 | no | — |
| 932 | C2×D4 | — | 24 | 4 | no | — |
| 933 | C2×D4 | — | 24 | 4 | no | — |
| 934 | C2×D4 | — | 24 | 2 | no | — |
| 935 | C2×D4 | — | 24 | 2 | no | — |
| 936 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 937 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 938 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 939 | C22×C4 | — | 2 | 1 | no | — |
| 940 | C22×C4 | — | 2 | 1 | no | — |
| 941 | C22×C4 | — | 2 | 1 | no | — |
| 942 | C22×C4 | — | 2 | 1 | no | — |
| 943 | C22×C4 | — | 2 | 1 | no | — |
| 944 | C22×C4 | — | 2 | 1 | no | — |
| 945 | C22×C4 | — | 3 | 2 | no | — |
| 946 | C22×C4 | — | 4 | 1 | no | — |
| 947 | C22×C4 | — | 4 | 1 | no | — |
| 948 | C22×C4 | — | 4 | 4 | no | — |
| 949 | C22×C4 | — | 6 | 2 | no | — |
| 950 | C22×C4 | — | 6 | 2 | no | — |
| 951 | C22×C4 | — | 6 | 2 | no | — |
| 952 | C22×C4 | — | 6 | 2 | no | — |
| 953 | C22×C4 | — | 6 | 1 | no | — |
| 954 | C22×C4 | — | 6 | 1 | no | — |
| 955 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 956 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 957 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 958 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 959 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 960 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 961 | SD16 | — | 2 | 4 | no | — |
| 962 | SD16 | — | 4 | 2 | no | — |
| 963 | SD16 | — | 6 | 4 | no | — |
| 964 | SD16 | — | 12 | 2 | no | — |
| 965 | D8 | — | 2 | 4 | no | — |
| 966 | D8 | — | 4 | 2 | no | — |
| 967 | D8 | — | 6 | 4 | no | — |
| 968 | D8 | — | 12 | 2 | no | — |
| 969 | D8 | — | 12 | 2 | no | — |
| 970 | D8 | — | 12 | 2 | no | — |
| 971 | D8 | — | 12 | 2 | no | — |
| 972 | D8 | — | 12 | 2 | no | — |
| 973 | M16 | — | 12 | 2 | no | — |
| 974 | M16 | — | 12 | 1 | no | — |
| 975 | M16 | — | 12 | 1 | no | — |
| 976 | C2×C8 | — | 3 | 2 | no | — |
| 977 | C2×C8 | — | 3 | 2 | no | — |
| 978 | C2×C8 | — | 4 | 1 | no | — |
| 979 | C2×C8 | — | 4 | 1 | no | — |
| 980 | C2×C8 | — | 12 | 2 | no | — |
| 981 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 982 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 983 | C4⋊C4 | — | 2 | 1 | no | — |
| 984 | C4⋊C4 | — | 3 | 1 | no | — |
| 985 | C4⋊C4 | — | 3 | 1 | no | — |
| 986 | C4⋊C4 | — | 3 | 2 | no | — |
| 987 | C4⋊C4 | — | 3 | 2 | no | — |
| 988 | C4⋊C4 | — | 3 | 2 | no | — |
| 989 | C4⋊C4 | — | 3 | 2 | no | — |
| 990 | C4⋊C4 | — | 6 | 2 | no | — |
| 991 | C4⋊C4 | — | 6 | 2 | no | — |
| 992 | C4⋊C4 | — | 6 | 2 | no | — |
| 993 | C4⋊C4 | — | 6 | 2 | no | — |
| 994 | C4⋊C4 | — | 6 | 1 | no | — |
| 995 | C4⋊C4 | — | 6 | 1 | no | — |
| 996 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 997 | C22⋊C4 | — | 2 | 2 | no | — |
| 998 | C22⋊C4 | — | 2 | 2 | no | — |
| 999 | C22⋊C4 | — | 3 | 2 | no | — |
| 1000 | C22⋊C4 | — | 3 | 2 | no | — |
| 1001 | C22⋊C4 | — | 3 | 2 | no | — |
| 1002 | C22⋊C4 | — | 3 | 2 | no | — |
| 1003 | C22⋊C4 | — | 3 | 2 | no | — |
| 1004 | C22⋊C4 | — | 6 | 2 | no | — |
| 1005 | C22⋊C4 | — | 6 | 2 | no | — |
| 1006 | C22⋊C4 | — | 6 | 2 | no | — |
| 1007 | C22⋊C4 | — | 6 | 2 | no | — |
| 1008 | C22⋊C4 | — | 6 | 2 | no | — |
| 1009 | C22⋊C4 | — | 6 | 2 | no | — |
| 1010 | C22⋊C4 | — | 6 | 2 | no | — |
| 1011 | C22⋊C4 | — | 6 | 2 | no | — |
| 1012 | C22⋊C4 | — | 6 | 2 | no | — |
| 1013 | C22⋊C4 | — | 6 | 2 | no | — |
| 1014 | C22⋊C4 | — | 6 | 2 | no | — |
| 1015 | C22⋊C4 | — | 6 | 2 | no | — |
| 1016 | C22⋊C4 | — | 6 | 2 | no | — |
| 1017 | C22⋊C4 | — | 6 | 2 | no | — |
| 1018 | C42 | — | 3 | 2 | no | — |
| 1019 | C42 | — | 6 | 2 | no | — |
| 1020 | C42 | — | 6 | 2 | no | — |
| 1021 | C22×C3 | — | 2 | 1 | no | — |
| 1022 | C22×C3 | — | 2 | 1 | no | — |
| 1023 | C22×C3 | — | 2 | 1 | no | — |
| 1024 | C22×C3 | — | 2 | 1 | no | — |
| 1025 | C22×C3 | — | 2 | 1 | no | — |
| 1026 | C22×C3 | — | 2 | 2 | no | — |
| 1027 | C22×C3 | — | 2 | 1 | no | — |
| 1028 | C22×C3 | — | 2 | 1 | no | — |
| 1029 | C22×C3 | — | 2 | 1 | no | — |
| 1030 | C22×C3 | — | 4 | 1 | no | — |
| 1031 | C22×C3 | — | 4 | 1 | no | — |
| 1032 | C22×C3 | — | 4 | 1 | no | — |
| 1033 | C22×C3 | — | 4 | 2 | no | — |
| 1034 | C22×C3 | — | 4 | 2 | no | — |
| 1035 | C22×C3 | — | 4 | 1 | no | — |
| 1036 | C22×C3 | — | 4 | 2 | no | — |
| 1037 | C22×C3 | — | 4 | 1 | no | — |
| 1038 | C22×C3 | — | 8 | 2 | no | — |
| 1039 | C22×C3 | — | 8 | 4 | no | — |
| 1040 | C22×C3 | — | 16 | 2 | no | — |
| 1041 | C22×C3 | #576 | 1 | 2 | yes | — |
| 1042 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1043 | C2×D3 | — | 2 | 2 | no | — |
| 1044 | C2×D3 | — | 2 | 2 | no | — |
| 1045 | C2×D3 | — | 2 | 2 | no | — |
| 1046 | C2×D3 | — | 4 | 2 | no | — |
| 1047 | C2×D3 | — | 4 | 2 | no | — |
| 1048 | C2×D3 | — | 4 | 2 | no | — |
| 1049 | C2×D3 | — | 4 | 2 | no | — |
| 1050 | C2×D3 | — | 4 | 2 | no | — |
| 1051 | C2×D3 | — | 4 | 2 | no | — |
| 1052 | C2×D3 | — | 16 | 4 | no | — |
| 1053 | C2×D3 | — | 16 | 4 | no | — |
| 1054 | C2×D3 | — | 16 | 2 | no | — |
| 1055 | C2×D3 | — | 16 | 2 | no | — |
| 1056 | C3×C4 | — | 2 | 1 | no | — |
| 1057 | C3×C4 | — | 2 | 2 | no | — |
| 1058 | C3×C4 | — | 2 | 1 | no | — |
| 1059 | C3×C4 | — | 2 | 1 | no | — |
| 1060 | C3×C4 | — | 4 | 2 | no | — |
| 1061 | C3×C4 | — | 4 | 1 | no | — |
| 1062 | C3×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1063 | C3×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1064 | Dic3 | — | 2 | 2 | no | — |
| 1065 | Dic3 | — | 2 | 2 | no | — |
| 1066 | Dic3 | — | 2 | 2 | no | — |
| 1067 | Dic3 | — | 4 | 2 | no | — |
| 1068 | Dic3 | — | 4 | 2 | no | — |
| 1069 | C23 | — | 2 | 1 | no | — |
| 1070 | C23 | — | 2 | 2 | no | — |
| 1071 | C23 | — | 2 | 2 | no | — |
| 1072 | C23 | — | 2 | 1 | no | — |
| 1073 | C23 | — | 3 | 2 | no | — |
| 1074 | C23 | — | 4 | 1 | no | — |
| 1075 | C23 | — | 4 | 1 | no | — |
| 1076 | C23 | — | 4 | 2 | no | — |
| 1077 | C23 | — | 4 | 2 | no | — |
| 1078 | C23 | — | 4 | 2 | no | — |
| 1079 | C23 | — | 6 | 2 | no | — |
| 1080 | C23 | — | 6 | 2 | no | — |
| 1081 | C23 | — | 8 | 1 | no | — |
| 1082 | C23 | — | 8 | 1 | no | — |
| 1083 | C23 | — | 8 | 1 | no | — |
| 1084 | C23 | — | 12 | 4 | no | — |
| 1085 | C23 | — | 12 | 2 | no | — |
| 1086 | C23 | — | 12 | 2 | no | — |
| 1087 | C23 | — | 24 | 1 | no | — |
| 1088 | C23 | — | 24 | 1 | no | — |
| 1089 | C23 | — | 24 | 1 | no | — |
| 1090 | C23 | — | 24 | 1 | no | — |
| 1091 | C23 | — | 24 | 2 | no | — |
| 1092 | C23 | — | 24 | 2 | no | — |
| 1093 | C23 | — | 24 | 2 | no | — |
| 1094 | C23 | — | 24 | 2 | no | — |
| 1095 | C23 | — | 24 | 2 | no | — |
| 1096 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1097 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1098 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1099 | Q8 | — | 2 | 1 | no | — |
| 1100 | Q8 | — | 2 | 1 | no | — |
| 1101 | Q8 | — | 2 | 1 | no | — |
| 1102 | Q8 | — | 4 | 2 | no | — |
| 1103 | Q8 | — | 12 | 1 | no | — |
| 1104 | Q8 | #1004 | 1 | 2 | yes | — |
| 1105 | D4 | — | 2 | 4 | no | — |
| 1106 | D4 | — | 2 | 1 | no | — |
| 1107 | D4 | — | 2 | 2 | no | — |
| 1108 | D4 | — | 2 | 1 | no | — |
| 1109 | D4 | — | 2 | 1 | no | — |
| 1110 | D4 | — | 2 | 2 | no | — |
| 1111 | D4 | — | 4 | 2 | no | — |
| 1112 | D4 | — | 4 | 2 | no | — |
| 1113 | D4 | — | 4 | 2 | no | — |
| 1114 | D4 | — | 4 | 2 | no | — |
| 1115 | D4 | — | 4 | 4 | no | — |
| 1116 | D4 | — | 6 | 4 | no | — |
| 1117 | D4 | — | 6 | 2 | no | — |
| 1118 | D4 | — | 6 | 2 | no | — |
| 1119 | D4 | — | 6 | 2 | no | — |
| 1120 | D4 | — | 6 | 2 | no | — |
| 1121 | D4 | — | 8 | 1 | no | — |
| 1122 | D4 | — | 8 | 2 | no | — |
| 1123 | D4 | — | 12 | 1 | no | — |
| 1124 | D4 | — | 12 | 4 | no | — |
| 1125 | D4 | — | 12 | 2 | no | — |
| 1126 | D4 | — | 12 | 2 | no | — |
| 1127 | D4 | — | 12 | 2 | no | — |
| 1128 | D4 | — | 12 | 4 | no | — |
| 1129 | D4 | — | 12 | 4 | no | — |
| 1130 | D4 | — | 12 | 4 | no | — |
| 1131 | D4 | — | 24 | 1 | no | — |
| 1132 | D4 | — | 24 | 2 | no | — |
| 1133 | D4 | — | 24 | 2 | no | — |
| 1134 | D4 | — | 24 | 2 | no | — |
| 1135 | D4 | — | 24 | 2 | no | — |
| 1136 | D4 | — | 24 | 2 | no | — |
| 1137 | D4 | — | 24 | 2 | no | — |
| 1138 | D4 | — | 24 | 2 | no | — |
| 1139 | D4 | — | 24 | 2 | no | — |
| 1140 | D4 | — | 24 | 2 | no | — |
| 1141 | D4 | — | 24 | 2 | no | — |
| 1142 | D4 | #1004 | 1 | 2 | yes | — |
| 1143 | C2×C4 | — | 2 | 4 | no | — |
| 1144 | C2×C4 | — | 2 | 1 | no | — |
| 1145 | C2×C4 | — | 2 | 1 | no | — |
| 1146 | C2×C4 | — | 2 | 1 | no | — |
| 1147 | C2×C4 | — | 2 | 1 | no | — |
| 1148 | C2×C4 | — | 2 | 1 | no | — |
| 1149 | C2×C4 | — | 2 | 1 | no | — |
| 1150 | C2×C4 | — | 2 | 1 | no | — |
| 1151 | C2×C4 | — | 2 | 2 | no | — |
| 1152 | C2×C4 | — | 2 | 1 | no | — |
| 1153 | C2×C4 | — | 3 | 2 | no | — |
| 1154 | C2×C4 | — | 3 | 2 | no | — |
| 1155 | C2×C4 | — | 3 | 2 | no | — |
| 1156 | C2×C4 | — | 4 | 1 | no | — |
| 1157 | C2×C4 | — | 4 | 1 | no | — |
| 1158 | C2×C4 | — | 4 | 1 | no | — |
| 1159 | C2×C4 | — | 4 | 2 | no | — |
| 1160 | C2×C4 | — | 4 | 2 | no | — |
| 1161 | C2×C4 | — | 4 | 2 | no | — |
| 1162 | C2×C4 | — | 4 | 2 | no | — |
| 1163 | C2×C4 | — | 6 | 2 | no | — |
| 1164 | C2×C4 | — | 6 | 2 | no | — |
| 1165 | C2×C4 | — | 6 | 2 | no | — |
| 1166 | C2×C4 | — | 6 | 2 | no | — |
| 1167 | C2×C4 | — | 8 | 1 | no | — |
| 1168 | C2×C4 | — | 12 | 4 | no | — |
| 1169 | C2×C4 | — | 24 | 2 | no | — |
| 1170 | C2×C4 | — | 24 | 2 | no | — |
| 1171 | C2×C4 | — | 24 | 2 | no | — |
| 1172 | C2×C4 | — | 24 | 1 | no | — |
| 1173 | C2×C4 | — | 24 | 1 | no | — |
| 1174 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1175 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1176 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1177 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1178 | C8 | — | 2 | 2 | no | — |
| 1179 | C8 | — | 2 | 2 | no | — |
| 1180 | C8 | — | 6 | 2 | no | — |
| 1181 | C8 | — | 6 | 2 | no | — |
| 1182 | C2×C3 | — | 2 | 2 | no | — |
| 1183 | C2×C3 | — | 4 | 1 | no | — |
| 1184 | C2×C3 | — | 4 | 1 | no | — |
| 1185 | C2×C3 | — | 4 | 2 | no | — |
| 1186 | C2×C3 | — | 8 | 2 | no | — |
| 1187 | C2×C3 | — | 8 | 1 | no | — |
| 1188 | C2×C3 | #3484 | 1 | 1 | yes | characteristic |
| 1189 | C2×C3 | C2×#576 | 1 | 1 | yes | characteristic |
| 1190 | C2×C3 | #3585 | 1 | 1 | yes | characteristic |
| 1191 | D3 | — | 4 | 2 | no | — |
| 1192 | D3 | — | 8 | 2 | no | — |
| 1193 | D3 | — | 8 | 2 | no | — |
| 1194 | C22 | — | 2 | 1 | no | — |
| 1195 | C22 | — | 2 | 1 | no | — |
| 1196 | C22 | — | 2 | 1 | no | — |
| 1197 | C22 | — | 2 | 1 | no | — |
| 1198 | C22 | — | 2 | 1 | no | — |
| 1199 | C22 | — | 2 | 1 | no | — |
| 1200 | C22 | — | 2 | 1 | no | — |
| 1201 | C22 | — | 2 | 2 | no | — |
| 1202 | C22 | — | 2 | 1 | no | — |
| 1203 | C22 | — | 4 | 1 | no | — |
| 1204 | C22 | — | 4 | 1 | no | — |
| 1205 | C22 | — | 4 | 2 | no | — |
| 1206 | C22 | — | 4 | 1 | no | — |
| 1207 | C22 | — | 4 | 2 | no | — |
| 1208 | C22 | — | 4 | 1 | no | — |
| 1209 | C22 | — | 4 | 1 | no | — |
| 1210 | C22 | — | 4 | 2 | no | — |
| 1211 | C22 | — | 6 | 2 | no | — |
| 1212 | C22 | — | 6 | 2 | no | — |
| 1213 | C22 | — | 6 | 2 | no | — |
| 1214 | C22 | — | 8 | 2 | no | — |
| 1215 | C22 | — | 8 | 4 | no | — |
| 1216 | C22 | — | 12 | 2 | no | — |
| 1217 | C22 | — | 12 | 2 | no | — |
| 1218 | C22 | — | 12 | 2 | no | — |
| 1219 | C22 | — | 12 | 2 | no | — |
| 1220 | C22 | — | 12 | 2 | no | — |
| 1221 | C22 | — | 12 | 2 | no | — |
| 1222 | C22 | — | 16 | 2 | no | — |
| 1223 | C22 | — | 48 | 4 | no | — |
| 1224 | C22 | — | 48 | 2 | no | — |
| 1225 | C22 | — | 48 | 2 | no | — |
| 1226 | C22 | — | 48 | 4 | no | — |
| 1227 | C22 | #5769 | 1 | 2 | yes | — |
| 1228 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1229 | C4 | — | 2 | 1 | no | — |
| 1230 | C4 | — | 2 | 2 | no | — |
| 1231 | C4 | — | 2 | 1 | no | — |
| 1232 | C4 | — | 2 | 1 | no | — |
| 1233 | C4 | — | 4 | 2 | no | — |
| 1234 | C4 | — | 4 | 1 | no | — |
| 1235 | C4 | — | 6 | 2 | no | — |
| 1236 | C4 | — | 6 | 2 | no | — |
| 1237 | C4 | — | 6 | 2 | no | — |
| 1238 | C4 | — | 12 | 2 | no | — |
| 1239 | C4 | — | 12 | 2 | no | — |
| 1240 | C4 | C2×#1004 | 1 | 1 | yes | characteristic |
| 1241 | C4 | C2×#1004 | 1 | 1 | yes | characteristic |
| 1242 | C3 | #61617 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1243 | C2 | — | 2 | 2 | no | — |
| 1244 | C2 | — | 4 | 1 | no | — |
| 1245 | C2 | — | 4 | 1 | no | — |
| 1246 | C2 | — | 4 | 2 | no | — |
| 1247 | C2 | — | 8 | 1 | no | — |
| 1248 | C2 | — | 8 | 2 | no | — |
| 1249 | C2 | — | 12 | 2 | no | — |
| 1250 | C2 | — | 24 | 2 | no | — |
| 1251 | C2 | — | 24 | 2 | no | — |
| 1252 | C2 | #85919 | 1 | 1 | yes | characteristic |
| 1253 | C2 | C2×#5769 | 1 | 1 | yes | characteristic |
| 1254 | C2 | #87192 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #87275 | C2 | semidirect |
| 2. #85938 | C2 | semidirect |
| 3. C2×C3×#449 | C2 | semidirect |
| 4. #84082 | C2 | semidirect |
| 5. #83864 | C2 | semidirect |
| 6. D8×#67 | C2 | semidirect |
| 7. #82627 | C2 | semidirect |
| 8. #80125 | C2 | semidirect |
| 9. #80120 | C2 | semidirect |
| 10. #80118 | C2 | semidirect |
| 11. #80114 | C2 | semidirect |
| 12. #80111 | C2 | semidirect |
| 13. #80093 | C2 | semidirect |
| 14. #80085 | C2 | semidirect |
| 15. #80072 | C2 | semidirect |
| 16. #78808 | C2 | semidirect |
| 17. #78764 | C2 | semidirect |
| 18. #78611 | C2 | semidirect |
| 19. #78604 | C2 | semidirect |
| 21. C22×C3×#41 | C22 | semidirect |
| 22. C2×#1009 | C22 | semidirect |
| 23. C22×C3×SD16 | C22 | semidirect |
| 24. C22×C3×D8 | C22 | semidirect |
| 25. C2×C3×#121 | C22 | semidirect |
| 26. #5834 | C22 | semidirect |
| 28. #5833 | C22 | semidirect |
| 30. #5830 | C22 | semidirect |
| 32. #5829 | C22 | semidirect |
| 33. #5827 | C22 | semidirect |
| 34. C2×#949 | C22 | semidirect |
| 35. C2×#949 | C22 | semidirect |
| 36. #5817 | C22 | semidirect |
| 39. D4×#67 | C22 | semidirect |
| 40. D4×#67 | C22 | semidirect |
| 44. C2×#930 | C22 | semidirect |
| 45. C2×#930 | C22 | semidirect |
| 46. C2×#914 | C22 | semidirect |
| 47. C2×D3×D8 | C22 | semidirect |
| 49. #5619 | C22 | semidirect |
| 50. #5618 | C22 | semidirect |
| 52. #5609 | C22 | semidirect |
| 53. #5607 | C22 | semidirect |
| 55. #5514 | C22 | semidirect |
| 58. C3×#449 | C22 | semidirect |
| 59. C3×#449 | C22 | semidirect |
| 60. C3×#449 | C22 | semidirect |
| 61. C3×#449 | C22 | semidirect |
| 62. C2×C3×#103 | C22 | semidirect |
| 63. C2×C3×#102 | C22 | semidirect |
| 64. C2×C3×C22⋊C8 | C22 | semidirect |
| 65. #5238 | C22 | semidirect |
| 66. #5238 | C22 | semidirect |
| 67. #5232 | C22 | semidirect |
| 68. #5232 | C22 | semidirect |
| 69. #5227 | C22 | semidirect |
| 70. #5217 | C22 | semidirect |
| 71. #5217 | C22 | semidirect |
| 72. #5207 | C22 | semidirect |
| 73. #5176 | C22 | semidirect |
| 74. #5174 | C22 | semidirect |
| 75. #5172 | C22 | semidirect |
| 76. #5169 | C22 | semidirect |
| 77. #5165 | C22 | semidirect |
| 78. #5164 | C22 | semidirect |
| 79. #5163 | C22 | semidirect |
| 80. #5157 | C22 | semidirect |
| 81. #5156 | C22 | semidirect |
| 82. #5156 | C22 | semidirect |
| 83. #5151 | C22 | semidirect |
| 84. #5150 | C22 | semidirect |
| 85. #5150 | C22 | semidirect |
| 86. Dic3×D8 | C22 | semidirect |
| 87. #5115 | C22 | semidirect |
| 88. #5115 | C22 | semidirect |
| 89. #5111 | C22 | semidirect |
| 90. C8×#67 | C22 | semidirect |
| 91. #5039 | C22 | semidirect |
| 92. #5039 | C22 | semidirect |
| 93. #5036 | C22 | semidirect |
| 94. #5034 | C22 | semidirect |
| 95. #4968 | C22 | semidirect |
| 96. #4819 | C22 | semidirect |
| 97. #4814 | C22 | semidirect |
| 98. #4810 | C22 | semidirect |
| 99. #4807 | C22 | semidirect |
| 100. #4804 | C22 | semidirect |
| 101. #4800 | C22 | semidirect |
| 102. #4796 | C22 | semidirect |
| 103. #4788 | C22 | semidirect |
| 104. #4786 | C22 | semidirect |
| 105. #4785 | C22 | semidirect |
| 106. #4784 | C22 | semidirect |
| 107. #4782 | C22 | semidirect |
| 108. #4773 | C22 | semidirect |
| 109. #4770 | C22 | semidirect |
| 110. #4766 | C22 | semidirect |
| 111. #4764 | C22 | semidirect |
| 112. #4736 | C22 | semidirect |
| 113. #4736 | C22 | semidirect |
| 114. #4732 | C22 | semidirect |
| 115. #4732 | C22 | semidirect |
| 116. #4729 | C22 | semidirect |
| 117. #4728 | C22 | semidirect |
| 118. #4727 | C22 | semidirect |
| 119. #4720 | C22 | semidirect |
| 137. C2×#449 | D3 | semidirect |
| 311. C22×#41 | C2×D3 | semidirect |
| 315. C22×SD16 | C2×D3 | semidirect |
| 317. C22×D8 | C2×D3 | semidirect |
| 345. C2×#121 | C2×D3 | semidirect |
| 378. #449 | C2×D3 | semidirect |
| 379. #449 | C2×D3 | semidirect |
| 380. #449 | C2×D3 | semidirect |
| 381. #449 | C2×D3 | semidirect |
| 404. C2×#103 | C2×D3 | semidirect |
| 405. C2×#102 | C2×D3 | semidirect |
| 408. C2×C22⋊C8 | C2×D3 | semidirect |
| 1242. C3 | #61617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87275 | 2 |
| #85938 | 2 |
| C2×C3×#449 | 2 |
| #84082 | 2 |
| #83864 | 2 |
| D8×#67 | 2 |
| #82627 | 2 |
| #80125 | 2 |
| #80120 | 2 |
| #80118 | 2 |
| #80114 | 2 |
| #80111 | 2 |
| #80093 | 2 |
| #80085 | 2 |
| #80072 | 2 |
| #78808 | 2 |
| #78764 | 2 |
| #78611 | 2 |
| #78604 | 2 |
| #61617 | 3 |