Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2796 conjugacy classes of subgroups.
The subgroup lattice has 1184 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#5768 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×D3×#135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #41×D12 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#2943 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #82525 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #79879 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #79878 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #79840 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #79839 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #79797 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #79796 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #79795 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #79794 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79181 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #79180 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #78833 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #78833 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #78499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | C2×#4706 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #61030 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C2×D3×#41 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×D3×#41 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×C3×#135 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×C4×#41 | C22 | 1 | 2 | yes | complemented |
| 25 | C2×#950 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×#950 | C22 | 1 | 2 | yes | complemented |
| 27 | #5768 | — | 2 | 8 | no | — |
| 28 | D3×#135 | — | 2 | 8 | no | — |
| 29 | C2×#919 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×#918 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×D3×Q16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#916 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#915 | C22 | 1 | 2 | yes | complemented |
| 34 | C2×#914 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×D3×SD16 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#912 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×#911 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×D3×D8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#904 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C2×#904 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×#904 | C22 | 1 | 2 | yes | complemented |
| 42 | C22×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C22×D3×C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #5577 | C22 | 1 | 2 | yes | complemented |
| 45 | #5576 | C22 | 1 | 2 | yes | — |
| 46 | #5576 | C22 | 1 | 2 | yes | complemented |
| 47 | Q8×D12 | C22 | 1 | 2 | yes | complemented |
| 48 | #5555 | — | 2 | 2 | no | — |
| 49 | #5555 | C22 | 1 | 2 | yes | complemented |
| 50 | #5554 | — | 2 | 2 | no | — |
| 51 | #5554 | — | 2 | 2 | no | — |
| 52 | #5554 | C22 | 1 | 2 | yes | — |
| 53 | #5554 | C22 | 1 | 2 | yes | complemented |
| 54 | D4×D12 | — | 2 | 2 | no | — |
| 55 | D4×D12 | C22 | 1 | 2 | yes | complemented |
| 56 | #5524 | — | 2 | 2 | no | — |
| 57 | #5524 | — | 2 | 2 | no | — |
| 58 | #5524 | C22 | 1 | 2 | yes | complemented |
| 59 | #5524 | C22 | 1 | 2 | yes | complemented |
| 60 | #5477 | — | 2 | 2 | no | — |
| 61 | #5477 | C22 | 1 | 2 | yes | complemented |
| 62 | C2×C4×D12 | — | 2 | 2 | no | — |
| 63 | C2×C4×D12 | C22 | 1 | 1 | yes | characteristic |
| 64 | C3×#442 | C22 | 1 | 2 | yes | complemented |
| 65 | C3×#441 | C22 | 1 | 2 | yes | complemented |
| 66 | C3×#440 | C22 | 1 | 2 | yes | complemented |
| 67 | C3×#440 | C22 | 1 | 2 | yes | complemented |
| 68 | C3×#427 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | C3×#416 | C22 | 1 | 2 | yes | complemented |
| 70 | C2×C3×#97 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | C2×(C2×D3)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | C2×(C2×D3)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #5031 | C22 | 1 | 2 | yes | complemented |
| 74 | #5028 | C22 | 1 | 2 | yes | complemented |
| 75 | #5028 | C22 | 1 | 2 | yes | complemented |
| 76 | #5027 | C22 | 1 | 2 | yes | complemented |
| 77 | #5019 | C22 | 1 | 2 | yes | complemented |
| 78 | #5016 | C22 | 1 | 2 | yes | complemented |
| 79 | #5016 | C22 | 1 | 2 | yes | complemented |
| 80 | #5015 | C22 | 1 | 2 | yes | complemented |
| 81 | #5002 | C22 | 1 | 2 | yes | complemented |
| 82 | #5002 | C22 | 1 | 2 | yes | complemented |
| 83 | C2×C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | #4887 | C22 | 1 | 1 | yes | characteristic, complemented |
| 85 | #4887 | C22 | 1 | 1 | yes | characteristic, complemented |
| 86 | #4886 | C22 | 1 | 2 | yes | complemented |
| 87 | #4886 | C22 | 1 | 2 | yes | complemented |
| 88 | #4883 | C22 | 1 | 1 | yes | characteristic, complemented |
| 89 | #4883 | C22 | 1 | 1 | yes | characteristic, complemented |
| 90 | #4867 | C22 | 1 | 2 | yes | complemented |
| 91 | #4865 | C22 | 1 | 2 | yes | complemented |
| 92 | #4864 | C22 | 1 | 2 | yes | complemented |
| 93 | #4864 | C22 | 1 | 2 | yes | complemented |
| 94 | #4810 | C22 | 1 | 2 | yes | complemented |
| 95 | #4810 | C22 | 1 | 2 | yes | complemented |
| 96 | #4809 | C22 | 1 | 2 | yes | complemented |
| 97 | #4809 | C22 | 1 | 2 | yes | complemented |
| 98 | #4808 | C22 | 1 | 2 | yes | complemented |
| 99 | #4808 | C22 | 1 | 2 | yes | complemented |
| 100 | #4806 | C22 | 1 | 2 | yes | complemented |
| 101 | #4806 | C22 | 1 | 2 | yes | complemented |
| 102 | #4783 | C22 | 1 | 2 | yes | complemented |
| 103 | #4783 | C22 | 1 | 2 | yes | complemented |
| 104 | #4781 | C22 | 1 | 2 | yes | complemented |
| 105 | #4781 | C22 | 1 | 2 | yes | complemented |
| 106 | #4776 | C22 | 1 | 2 | yes | complemented |
| 107 | #4776 | C22 | 1 | 2 | yes | complemented |
| 108 | #4773 | C22 | 1 | 2 | yes | complemented |
| 109 | #4773 | C22 | 1 | 2 | yes | complemented |
| 110 | #4715 | C22 | 1 | 2 | yes | complemented |
| 111 | #4715 | C22 | 1 | 2 | yes | complemented |
| 112 | #4712 | C22 | 1 | 2 | yes | complemented |
| 113 | #4712 | C22 | 1 | 2 | yes | complemented |
| 114 | #4706 | C22 | 1 | 2 | yes | complemented |
| 115 | #4706 | C22 | 1 | 2 | yes | complemented |
| 116 | #4706 | C22 | 1 | 2 | yes | complemented |
| 117 | #4706 | C22 | 1 | 2 | yes | complemented |
| 118 | C2×#575 | — | 3 | 1 | no | — |
| 119 | C22×#135 | — | 3 | 1 | no | — |
| 120 | D4×#41 | — | 3 | 2 | no | — |
| 121 | #3271 | — | 3 | 2 | no | — |
| 122 | #3270 | — | 3 | 2 | no | — |
| 123 | #3269 | — | 3 | 2 | no | — |
| 124 | #3268 | — | 3 | 2 | no | — |
| 125 | #3267 | — | 3 | 2 | no | — |
| 126 | #3266 | — | 3 | 2 | no | — |
| 127 | #3265 | — | 3 | 2 | no | — |
| 128 | #3264 | — | 3 | 2 | no | — |
| 129 | #3150 | — | 3 | 1 | no | — |
| 130 | #3054 | — | 3 | 1 | no | — |
| 131 | #3050 | — | 3 | 1 | no | — |
| 132 | #3035 | — | 3 | 2 | no | — |
| 133 | #3002 | — | 3 | 2 | no | — |
| 134 | #3002 | — | 3 | 2 | no | — |
| 135 | #2943 | D3 | 1 | 1 | yes | characteristic, complemented |
| 136 | C2×#435 | — | 3 | 1 | no | — |
| 137 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 138 | D3×#41 | — | 2 | 8 | no | — |
| 139 | D3×#41 | — | 2 | 8 | no | — |
| 140 | D3×#41 | — | 4 | 4 | no | — |
| 141 | D3×#41 | — | 4 | 4 | no | — |
| 142 | C2×#239 | C23 | 1 | 2 | yes | — |
| 143 | C2×#239 | C23 | 1 | 2 | yes | — |
| 144 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 145 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 146 | C2×#237 | — | 2 | 2 | no | — |
| 147 | C2×#237 | — | 2 | 2 | no | — |
| 148 | C2×#237 | C23 | 1 | 2 | yes | — |
| 149 | C2×#237 | C23 | 1 | 2 | yes | — |
| 150 | C2×D3×D4 | — | 2 | 2 | no | — |
| 151 | C2×D3×D4 | — | 2 | 2 | no | — |
| 152 | C2×D3×D4 | C23 | 1 | 2 | yes | — |
| 153 | C2×D3×D4 | C23 | 1 | 2 | yes | — |
| 154 | C2×#235 | — | 2 | 2 | no | — |
| 155 | C2×#235 | — | 2 | 2 | no | — |
| 156 | C2×#235 | C23 | 1 | 2 | yes | — |
| 157 | C2×#235 | C23 | 1 | 2 | yes | — |
| 158 | C22×D12 | — | 2 | 2 | no | — |
| 159 | C22×D12 | D4 | 1 | 1 | yes | characteristic |
| 160 | C22×C4×D3 | — | 2 | 2 | no | — |
| 161 | C22×C4×D3 | — | 2 | 2 | no | — |
| 162 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 163 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 164 | C3×#135 | D4 | 1 | 8 | yes | complemented |
| 165 | C2×C3×Q16 | C23 | 1 | 1 | yes | characteristic |
| 166 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 167 | C2×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 168 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 169 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 170 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 171 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 172 | C3×C4×D4 | — | 2 | 2 | no | — |
| 173 | C3×C4×D4 | — | 2 | 2 | no | — |
| 174 | C3×C4×D4 | C23 | 1 | 2 | yes | — |
| 175 | C3×C4×D4 | C23 | 1 | 2 | yes | — |
| 176 | C3×#117 | — | 2 | 2 | no | — |
| 177 | C3×#117 | C23 | 1 | 2 | yes | — |
| 178 | C2×C3×C42 | — | 2 | 2 | no | — |
| 179 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 180 | #950 | — | 2 | 8 | no | — |
| 181 | #950 | — | 2 | 8 | no | — |
| 182 | C2×#216 | C23 | 1 | 2 | yes | — |
| 183 | C2×#216 | C23 | 1 | 2 | yes | — |
| 184 | C2×#215 | C23 | 1 | 2 | yes | — |
| 185 | C2×#215 | C23 | 1 | 2 | yes | — |
| 186 | C2×#214 | C23 | 1 | 2 | yes | — |
| 187 | C2×#214 | C23 | 1 | 2 | yes | — |
| 188 | C2×#213 | C23 | 1 | 2 | yes | — |
| 189 | C2×#213 | C23 | 1 | 2 | yes | — |
| 190 | #930 | — | 2 | 2 | no | — |
| 191 | #930 | — | 2 | 2 | no | — |
| 192 | #930 | — | 2 | 2 | no | — |
| 193 | #930 | — | 2 | 2 | no | — |
| 194 | #930 | — | 2 | 2 | no | — |
| 195 | #930 | — | 2 | 2 | no | — |
| 196 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 197 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 198 | C2×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 199 | C2×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 200 | C2×C4⋊Dic3 | — | 2 | 2 | no | — |
| 201 | C2×C4⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 202 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 203 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 204 | #919 | — | 2 | 4 | no | — |
| 205 | #918 | — | 2 | 8 | no | — |
| 206 | D3×Q16 | — | 2 | 4 | no | — |
| 207 | #916 | — | 2 | 8 | no | — |
| 208 | #915 | — | 2 | 8 | no | — |
| 209 | #914 | — | 2 | 8 | no | — |
| 210 | D3×SD16 | — | 2 | 8 | no | — |
| 211 | #912 | — | 2 | 4 | no | — |
| 212 | #911 | — | 2 | 8 | no | — |
| 213 | D3×D8 | — | 2 | 4 | no | — |
| 214 | C2×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 215 | C2×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 216 | C2×Dic12 | C23 | 1 | 2 | yes | — |
| 217 | #904 | — | 2 | 4 | no | — |
| 218 | #904 | — | 2 | 4 | no | — |
| 219 | #904 | — | 4 | 4 | no | — |
| 220 | C2×D24 | C23 | 1 | 1 | yes | characteristic |
| 221 | C2×D24 | C23 | 1 | 1 | yes | characteristic |
| 222 | C2×D24 | C23 | 1 | 2 | yes | — |
| 223 | C2×#204 | C23 | 1 | 2 | yes | — |
| 224 | C2×#204 | C23 | 1 | 2 | yes | — |
| 225 | C2×#204 | C23 | 1 | 2 | yes | — |
| 226 | C2×#204 | C23 | 1 | 2 | yes | — |
| 227 | C2×ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 228 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 229 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 230 | C2×D3×C8 | — | 2 | 4 | no | — |
| 231 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 232 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 233 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 234 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 235 | #897 | — | 2 | 2 | no | — |
| 236 | #897 | — | 2 | 2 | no | — |
| 237 | #897 | — | 2 | 2 | no | — |
| 238 | #897 | — | 2 | 2 | no | — |
| 239 | #897 | C23 | 1 | 2 | yes | — |
| 240 | #897 | C23 | 1 | 2 | yes | — |
| 241 | #897 | C23 | 1 | 2 | yes | — |
| 242 | #897 | C23 | 1 | 2 | yes | — |
| 243 | #895 | — | 2 | 2 | no | — |
| 244 | #895 | — | 2 | 2 | no | — |
| 245 | #895 | — | 2 | 2 | no | — |
| 246 | #895 | — | 2 | 2 | no | — |
| 247 | #895 | C23 | 1 | 2 | yes | — |
| 248 | #895 | C23 | 1 | 2 | yes | — |
| 249 | #895 | C23 | 1 | 2 | yes | — |
| 250 | #895 | C23 | 1 | 2 | yes | — |
| 251 | #886 | — | 2 | 2 | no | — |
| 252 | #886 | — | 2 | 2 | no | — |
| 253 | #886 | — | 2 | 2 | no | — |
| 254 | #886 | — | 2 | 2 | no | — |
| 255 | #886 | — | 2 | 2 | no | — |
| 256 | #886 | — | 2 | 2 | no | — |
| 257 | #882 | — | 2 | 2 | no | — |
| 258 | #882 | — | 2 | 2 | no | — |
| 259 | #882 | — | 2 | 2 | no | — |
| 260 | #882 | — | 2 | 2 | no | — |
| 261 | #882 | — | 2 | 2 | no | — |
| 262 | #882 | — | 2 | 2 | no | — |
| 263 | #875 | — | 2 | 2 | no | — |
| 264 | #875 | — | 2 | 2 | no | — |
| 265 | #875 | C23 | 1 | 2 | yes | — |
| 266 | #875 | C23 | 1 | 2 | yes | — |
| 267 | #874 | — | 2 | 2 | no | — |
| 268 | #874 | C23 | 1 | 2 | yes | — |
| 269 | C4×D12 | — | 2 | 2 | no | — |
| 270 | C4×D12 | — | 2 | 2 | no | — |
| 271 | C4×D12 | — | 2 | 2 | no | — |
| 272 | C4×D12 | — | 2 | 2 | no | — |
| 273 | C4×D12 | — | 2 | 2 | no | — |
| 274 | C4×D12 | — | 2 | 2 | no | — |
| 275 | C4×D12 | — | 2 | 2 | no | — |
| 276 | C4×D12 | — | 2 | 2 | no | — |
| 277 | C4×D12 | — | 2 | 2 | no | — |
| 278 | C4×D12 | — | 2 | 2 | no | — |
| 279 | C4×D12 | D4 | 1 | 2 | yes | — |
| 280 | C4×D12 | D4 | 1 | 2 | yes | — |
| 281 | C4×D12 | C23 | 1 | 2 | yes | — |
| 282 | C4×D12 | C23 | 1 | 2 | yes | — |
| 283 | #869 | — | 2 | 2 | no | — |
| 284 | #869 | C23 | 1 | 2 | yes | — |
| 285 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 286 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 287 | C3×#106 | C23 | 1 | 2 | yes | — |
| 288 | C3×#103 | C23 | 1 | 2 | yes | — |
| 289 | C3×#103 | C23 | 1 | 2 | yes | — |
| 290 | C3×#102 | C23 | 1 | 2 | yes | — |
| 291 | C3×#102 | C23 | 1 | 2 | yes | — |
| 292 | C3×#97 | C23 | 1 | 2 | yes | — |
| 293 | C3×#97 | C23 | 1 | 2 | yes | — |
| 294 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 295 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 296 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 297 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 298 | #810 | C23 | 1 | 2 | yes | — |
| 299 | #810 | C23 | 1 | 2 | yes | — |
| 300 | #810 | C23 | 1 | 2 | yes | — |
| 301 | #810 | C23 | 1 | 2 | yes | — |
| 302 | #809 | C23 | 1 | 2 | yes | — |
| 303 | #809 | C23 | 1 | 2 | yes | — |
| 304 | #809 | C23 | 1 | 2 | yes | — |
| 305 | #809 | C23 | 1 | 2 | yes | — |
| 306 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 307 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 308 | C22×#41 | — | 3 | 2 | no | — |
| 309 | C22×#41 | — | 3 | 2 | no | — |
| 310 | #575 | — | 6 | 8 | no | — |
| 311 | C2×#137 | — | 3 | 2 | no | — |
| 312 | C2×#137 | — | 3 | 2 | no | — |
| 313 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 314 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 315 | C2×#135 | — | 3 | 2 | no | — |
| 316 | C2×#135 | — | 3 | 2 | no | — |
| 317 | C2×#135 | — | 3 | 1 | no | — |
| 318 | C2×#135 | — | 3 | 2 | no | — |
| 319 | C2×#135 | — | 3 | 1 | no | — |
| 320 | C2×#135 | — | 3 | 1 | no | — |
| 321 | C2×#135 | — | 3 | 1 | no | — |
| 322 | C2×#135 | — | 3 | 2 | no | — |
| 323 | C2×#135 | — | 6 | 8 | no | — |
| 324 | C2×#135 | C2×D3 | 1 | 1 | yes | characteristic |
| 325 | C22×Q16 | — | 3 | 1 | no | — |
| 326 | C22×SD16 | — | 3 | 2 | no | — |
| 327 | C22×D8 | — | 3 | 1 | no | — |
| 328 | C22×M16 | — | 3 | 1 | no | — |
| 329 | C23×C8 | — | 3 | 1 | no | — |
| 330 | #550 | — | 3 | 2 | no | — |
| 331 | D4×Q8 | — | 3 | 2 | no | — |
| 332 | #548 | — | 3 | 2 | no | — |
| 333 | #548 | — | 3 | 2 | no | — |
| 334 | #547 | — | 3 | 2 | no | — |
| 335 | #547 | — | 6 | 2 | no | — |
| 336 | #546 | — | 3 | 2 | no | — |
| 337 | #546 | — | 3 | 2 | no | — |
| 338 | #546 | — | 6 | 2 | no | — |
| 339 | #546 | — | 6 | 2 | no | — |
| 340 | D42 | — | 3 | 2 | no | — |
| 341 | D42 | — | 6 | 2 | no | — |
| 342 | #532 | — | 3 | 2 | no | — |
| 343 | #532 | — | 6 | 2 | no | — |
| 344 | #525 | — | 3 | 2 | no | — |
| 345 | #525 | — | 3 | 2 | no | — |
| 346 | #525 | — | 6 | 2 | no | — |
| 347 | #525 | — | 6 | 2 | no | — |
| 348 | C4×#41 | C2×D3 | 1 | 2 | yes | complemented |
| 349 | C2×C4×D4 | — | 3 | 1 | no | — |
| 350 | C2×C4×D4 | — | 6 | 2 | no | — |
| 351 | #497 | — | 3 | 2 | no | — |
| 352 | #497 | — | 3 | 2 | no | — |
| 353 | #496 | — | 3 | 2 | no | — |
| 354 | #496 | — | 3 | 2 | no | — |
| 355 | #470 | — | 3 | 2 | no | — |
| 356 | #469 | — | 3 | 2 | no | — |
| 357 | #468 | — | 3 | 2 | no | — |
| 358 | #468 | — | 3 | 2 | no | — |
| 359 | #467 | — | 3 | 1 | no | — |
| 360 | #467 | — | 3 | 1 | no | — |
| 361 | #466 | — | 3 | 1 | no | — |
| 362 | #466 | — | 3 | 1 | no | — |
| 363 | #465 | — | 3 | 2 | no | — |
| 364 | #465 | — | 3 | 2 | no | — |
| 365 | #464 | — | 3 | 2 | no | — |
| 366 | #464 | — | 3 | 2 | no | — |
| 367 | #463 | — | 3 | 2 | no | — |
| 368 | #463 | — | 3 | 2 | no | — |
| 369 | #462 | — | 3 | 2 | no | — |
| 370 | #461 | — | 3 | 2 | no | — |
| 371 | #460 | — | 3 | 2 | no | — |
| 372 | #459 | — | 3 | 2 | no | — |
| 373 | #452 | — | 3 | 2 | no | — |
| 374 | #452 | — | 3 | 2 | no | — |
| 375 | #452 | — | 3 | 2 | no | — |
| 376 | #452 | — | 3 | 2 | no | — |
| 377 | #451 | — | 3 | 2 | no | — |
| 378 | #451 | — | 3 | 2 | no | — |
| 379 | #450 | — | 3 | 2 | no | — |
| 380 | #450 | — | 3 | 2 | no | — |
| 381 | #449 | — | 3 | 2 | no | — |
| 382 | #449 | — | 3 | 2 | no | — |
| 383 | #449 | — | 3 | 2 | no | — |
| 384 | #449 | — | 3 | 2 | no | — |
| 385 | #448 | — | 3 | 2 | no | — |
| 386 | #448 | — | 3 | 2 | no | — |
| 387 | #447 | — | 3 | 2 | no | — |
| 388 | #447 | — | 3 | 2 | no | — |
| 389 | #442 | C2×D3 | 1 | 2 | yes | complemented |
| 390 | #441 | C2×D3 | 1 | 2 | yes | complemented |
| 391 | #440 | C2×D3 | 1 | 2 | yes | complemented |
| 392 | #440 | C2×D3 | 1 | 2 | yes | complemented |
| 393 | #435 | — | 3 | 2 | no | — |
| 394 | #435 | — | 3 | 2 | no | — |
| 395 | #435 | — | 3 | 2 | no | — |
| 396 | #435 | — | 3 | 2 | no | — |
| 397 | #427 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 398 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 399 | #416 | — | 3 | 2 | no | — |
| 400 | #416 | — | 3 | 2 | no | — |
| 401 | #416 | C2×D3 | 1 | 2 | yes | complemented |
| 402 | C2×C22⋊C8 | — | 3 | 1 | no | — |
| 403 | C2×C22⋊C8 | — | 3 | 1 | no | — |
| 404 | C2×#97 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 405 | C23×D3 | — | 2 | 2 | no | — |
| 406 | C23×D3 | — | 2 | 2 | no | — |
| 407 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 408 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 409 | C3×#41 | — | 2 | 4 | no | — |
| 410 | C3×#41 | C2×D4 | 1 | 8 | yes | complemented |
| 411 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 412 | C2×C3×D4 | — | 2 | 2 | no | — |
| 413 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 414 | C22×C3×C4 | — | 2 | 2 | no | — |
| 415 | C22×C3×C4 | — | 2 | 2 | no | — |
| 416 | C22×C3×C4 | — | 2 | 2 | no | — |
| 417 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 418 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 419 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 420 | C2×#67 | — | 2 | 2 | no | — |
| 421 | C2×#67 | — | 2 | 2 | no | — |
| 422 | C2×#67 | — | 2 | 2 | no | — |
| 423 | C2×#67 | — | 2 | 2 | no | — |
| 424 | C2×#67 | — | 2 | 2 | no | — |
| 425 | C2×#67 | — | 2 | 2 | no | — |
| 426 | C22×Dic3 | — | 2 | 2 | no | — |
| 427 | C22×Dic3 | — | 2 | 2 | no | — |
| 428 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 429 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 430 | #239 | — | 2 | 4 | no | — |
| 431 | #239 | — | 2 | 4 | no | — |
| 432 | #239 | — | 4 | 2 | no | — |
| 433 | #239 | — | 4 | 2 | no | — |
| 434 | D3×Q8 | — | 2 | 4 | no | — |
| 435 | D3×Q8 | — | 2 | 4 | no | — |
| 436 | D3×Q8 | — | 4 | 2 | no | — |
| 437 | D3×Q8 | — | 4 | 2 | no | — |
| 438 | #237 | — | 2 | 4 | no | — |
| 439 | #237 | — | 2 | 4 | no | — |
| 440 | #237 | — | 4 | 2 | no | — |
| 441 | #237 | — | 4 | 2 | no | — |
| 442 | #237 | — | 4 | 8 | no | — |
| 443 | #237 | — | 4 | 8 | no | — |
| 444 | D3×D4 | — | 2 | 4 | no | — |
| 445 | D3×D4 | — | 2 | 4 | no | — |
| 446 | D3×D4 | — | 4 | 2 | no | — |
| 447 | D3×D4 | — | 4 | 2 | no | — |
| 448 | D3×D4 | — | 4 | 8 | no | — |
| 449 | D3×D4 | — | 4 | 8 | no | — |
| 450 | #235 | — | 2 | 4 | no | — |
| 451 | #235 | — | 2 | 4 | no | — |
| 452 | #235 | — | 2 | 4 | no | — |
| 453 | #235 | — | 2 | 4 | no | — |
| 454 | #235 | — | 4 | 8 | no | — |
| 455 | #235 | — | 4 | 8 | no | — |
| 456 | C2×D12 | — | 2 | 2 | no | — |
| 457 | C2×D12 | — | 2 | 2 | no | — |
| 458 | C2×D12 | — | 2 | 2 | no | — |
| 459 | C2×D12 | — | 2 | 2 | no | — |
| 460 | C2×D12 | — | 2 | 2 | no | — |
| 461 | C2×D12 | — | 2 | 2 | no | — |
| 462 | C2×D12 | — | 2 | 2 | no | — |
| 463 | C2×D12 | — | 2 | 2 | no | — |
| 464 | C2×D12 | — | 4 | 2 | no | — |
| 465 | C2×D12 | — | 4 | 8 | no | — |
| 466 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 467 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 468 | C2×D12 | C24 | 1 | 2 | yes | — |
| 469 | C2×D12 | C24 | 1 | 2 | yes | — |
| 470 | C2×C4×D3 | — | 2 | 2 | no | — |
| 471 | C2×C4×D3 | — | 2 | 2 | no | — |
| 472 | C2×C4×D3 | — | 2 | 2 | no | — |
| 473 | C2×C4×D3 | — | 2 | 2 | no | — |
| 474 | C2×C4×D3 | — | 2 | 2 | no | — |
| 475 | C2×C4×D3 | — | 2 | 2 | no | — |
| 476 | C2×C4×D3 | — | 2 | 2 | no | — |
| 477 | C2×C4×D3 | — | 2 | 2 | no | — |
| 478 | C2×C4×D3 | — | 2 | 2 | no | — |
| 479 | C2×C4×D3 | — | 2 | 2 | no | — |
| 480 | C2×C4×D3 | — | 4 | 8 | no | — |
| 481 | C2×C4×D3 | — | 4 | 8 | no | — |
| 482 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 483 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 484 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 485 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 486 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 487 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 488 | C2×Dic6 | — | 2 | 2 | no | — |
| 489 | C2×Dic6 | — | 2 | 2 | no | — |
| 490 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 491 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 492 | C3×Q16 | C2×D4 | 1 | 4 | yes | complemented |
| 493 | C3×SD16 | C2×D4 | 1 | 8 | yes | complemented |
| 494 | C3×D8 | C2×D4 | 1 | 4 | yes | complemented |
| 495 | C2×C3×C8 | — | 2 | 2 | no | — |
| 496 | C2×C3×C8 | C2×D4 | 1 | 4 | yes | complemented |
| 497 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 498 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 499 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 500 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 501 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 502 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 503 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 504 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 505 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 506 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 507 | C3×C42 | — | 2 | 2 | no | — |
| 508 | C3×C42 | — | 2 | 2 | no | — |
| 509 | C3×C42 | — | 2 | 2 | no | — |
| 510 | C3×C42 | C2×D4 | 1 | 2 | yes | — |
| 511 | C3×C42 | C24 | 1 | 2 | yes | — |
| 512 | #216 | — | 2 | 4 | no | — |
| 513 | #216 | — | 2 | 4 | no | — |
| 514 | #215 | — | 2 | 4 | no | — |
| 515 | #215 | — | 2 | 4 | no | — |
| 516 | #214 | — | 2 | 4 | no | — |
| 517 | #214 | — | 2 | 4 | no | — |
| 518 | #213 | — | 2 | 4 | no | — |
| 519 | #213 | — | 2 | 4 | no | — |
| 520 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 521 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 522 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 523 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 524 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 525 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 526 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 527 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 528 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 529 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 530 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 531 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 532 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 533 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 534 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 535 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 536 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 537 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 538 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 539 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 540 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 541 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 542 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 543 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 544 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 545 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 546 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 547 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 548 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 549 | Dic12 | — | 2 | 2 | no | — |
| 550 | Dic12 | — | 2 | 2 | no | — |
| 551 | Dic12 | — | 4 | 2 | no | — |
| 552 | D24 | — | 2 | 2 | no | — |
| 553 | D24 | — | 2 | 2 | no | — |
| 554 | D24 | — | 4 | 2 | no | — |
| 555 | #204 | — | 2 | 4 | no | — |
| 556 | #204 | — | 2 | 4 | no | — |
| 557 | #204 | — | 4 | 2 | no | — |
| 558 | #204 | — | 4 | 2 | no | — |
| 559 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 560 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 561 | D3×C8 | — | 2 | 2 | no | — |
| 562 | D3×C8 | — | 2 | 2 | no | — |
| 563 | D3×C8 | — | 2 | 2 | no | — |
| 564 | D3×C8 | — | 2 | 2 | no | — |
| 565 | C2×#41 | — | 3 | 2 | no | — |
| 566 | C2×#41 | — | 3 | 2 | no | — |
| 567 | C2×#41 | — | 3 | 2 | no | — |
| 568 | C2×#41 | — | 3 | 2 | no | — |
| 569 | C2×#41 | — | 3 | 2 | no | — |
| 570 | C2×#41 | — | 3 | 2 | no | — |
| 571 | C2×#41 | — | 6 | 2 | no | — |
| 572 | C2×#41 | — | 6 | 2 | no | — |
| 573 | C2×#41 | — | 6 | 2 | no | — |
| 574 | C2×#41 | — | 6 | 2 | no | — |
| 575 | C2×#41 | — | 6 | 8 | no | — |
| 576 | C2×#41 | — | 6 | 8 | no | — |
| 577 | C2×#41 | — | 12 | 4 | no | — |
| 578 | C2×#41 | — | 12 | 4 | no | — |
| 579 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 580 | C22×Q8 | — | 3 | 2 | no | — |
| 581 | C22×Q8 | — | 3 | 2 | no | — |
| 582 | C22×D4 | — | 3 | 2 | no | — |
| 583 | C22×D4 | — | 3 | 2 | no | — |
| 584 | C22×D4 | — | 3 | 1 | no | — |
| 585 | C22×D4 | — | 6 | 2 | no | — |
| 586 | C22×D4 | — | 6 | 2 | no | — |
| 587 | C22×D4 | — | 6 | 2 | no | — |
| 588 | C23×C4 | — | 3 | 1 | no | — |
| 589 | C23×C4 | — | 3 | 1 | no | — |
| 590 | C23×C4 | — | 6 | 2 | no | — |
| 591 | C23×C4 | — | 6 | 2 | no | — |
| 592 | #137 | — | 6 | 8 | no | — |
| 593 | #137 | — | 6 | 8 | no | — |
| 594 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 595 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 596 | #135 | — | 6 | 8 | no | — |
| 597 | #135 | — | 6 | 8 | no | — |
| 598 | #135 | — | 6 | 4 | no | — |
| 599 | #135 | — | 6 | 8 | no | — |
| 600 | #135 | — | 6 | 4 | no | — |
| 601 | #135 | — | 6 | 4 | no | — |
| 602 | #135 | — | 6 | 4 | no | — |
| 603 | #135 | — | 12 | 4 | no | — |
| 604 | #135 | D12 | 1 | 8 | yes | complemented |
| 605 | C2×Q16 | — | 3 | 2 | no | — |
| 606 | C2×Q16 | — | 3 | 2 | no | — |
| 607 | C2×Q16 | — | 3 | 1 | no | — |
| 608 | C2×Q16 | — | 3 | 1 | no | — |
| 609 | C2×Q16 | — | 3 | 2 | no | — |
| 610 | C2×Q16 | — | 6 | 4 | no | — |
| 611 | C2×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 612 | C2×SD16 | — | 3 | 2 | no | — |
| 613 | C2×SD16 | — | 3 | 2 | no | — |
| 614 | C2×SD16 | — | 3 | 2 | no | — |
| 615 | C2×SD16 | — | 3 | 2 | no | — |
| 616 | C2×SD16 | — | 3 | 2 | no | — |
| 617 | C2×SD16 | — | 3 | 2 | no | — |
| 618 | C2×SD16 | — | 3 | 2 | no | — |
| 619 | C2×SD16 | — | 3 | 2 | no | — |
| 620 | C2×SD16 | — | 6 | 8 | no | — |
| 621 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 622 | C2×D8 | — | 3 | 2 | no | — |
| 623 | C2×D8 | — | 3 | 2 | no | — |
| 624 | C2×D8 | — | 3 | 1 | no | — |
| 625 | C2×D8 | — | 3 | 1 | no | — |
| 626 | C2×D8 | — | 3 | 2 | no | — |
| 627 | C2×D8 | — | 6 | 4 | no | — |
| 628 | C2×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 629 | C2×M16 | — | 3 | 2 | no | — |
| 630 | C2×M16 | — | 3 | 2 | no | — |
| 631 | C2×M16 | — | 6 | 4 | no | — |
| 632 | C22×C8 | — | 3 | 1 | no | — |
| 633 | C22×C8 | — | 3 | 1 | no | — |
| 634 | C22×C8 | — | 3 | 1 | no | — |
| 635 | C22×C8 | — | 3 | 1 | no | — |
| 636 | C22×C8 | — | 3 | 1 | no | — |
| 637 | C22×C8 | — | 3 | 1 | no | — |
| 638 | C22×C8 | — | 6 | 4 | no | — |
| 639 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 640 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 641 | C4⋊Q8 | — | 3 | 2 | no | — |
| 642 | C4⋊Q8 | — | 6 | 2 | no | — |
| 643 | #127 | — | 3 | 2 | no | — |
| 644 | #127 | — | 6 | 2 | no | — |
| 645 | #124 | — | 3 | 2 | no | — |
| 646 | #124 | — | 3 | 2 | no | — |
| 647 | #124 | — | 6 | 2 | no | — |
| 648 | #124 | — | 6 | 2 | no | — |
| 649 | #123 | — | 6 | 2 | no | — |
| 650 | #123 | — | 6 | 2 | no | — |
| 651 | #123 | — | 6 | 2 | no | — |
| 652 | #123 | — | 6 | 2 | no | — |
| 653 | #123 | — | 6 | 2 | no | — |
| 654 | #123 | — | 6 | 2 | no | — |
| 655 | C22⋊Q8 | — | 3 | 2 | no | — |
| 656 | C22⋊Q8 | — | 3 | 2 | no | — |
| 657 | C22⋊Q8 | — | 3 | 2 | no | — |
| 658 | C22⋊Q8 | — | 3 | 2 | no | — |
| 659 | C22⋊Q8 | — | 6 | 2 | no | — |
| 660 | C22⋊Q8 | — | 6 | 2 | no | — |
| 661 | C22⋊Q8 | — | 6 | 2 | no | — |
| 662 | C22⋊Q8 | — | 6 | 2 | no | — |
| 663 | #121 | — | 3 | 2 | no | — |
| 664 | #121 | — | 3 | 2 | no | — |
| 665 | #121 | — | 3 | 2 | no | — |
| 666 | #121 | — | 3 | 2 | no | — |
| 667 | #121 | — | 6 | 2 | no | — |
| 668 | #121 | — | 6 | 2 | no | — |
| 669 | #121 | — | 6 | 2 | no | — |
| 670 | #121 | — | 6 | 2 | no | — |
| 671 | #121 | — | 6 | 2 | no | — |
| 672 | #121 | — | 6 | 2 | no | — |
| 673 | #121 | — | 6 | 2 | no | — |
| 674 | #121 | — | 6 | 2 | no | — |
| 675 | #121 | — | 6 | 2 | no | — |
| 676 | #121 | — | 6 | 2 | no | — |
| 677 | #120 | — | 6 | 2 | no | — |
| 678 | #120 | — | 6 | 2 | no | — |
| 679 | #120 | — | 6 | 2 | no | — |
| 680 | #120 | — | 6 | 2 | no | — |
| 681 | #120 | — | 6 | 2 | no | — |
| 682 | #120 | — | 6 | 2 | no | — |
| 683 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 684 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 685 | C4×D4 | — | 2 | 2 | no | — |
| 686 | C4×D4 | — | 2 | 2 | no | — |
| 687 | C4×D4 | — | 3 | 2 | no | — |
| 688 | C4×D4 | — | 3 | 2 | no | — |
| 689 | C4×D4 | — | 3 | 2 | no | — |
| 690 | C4×D4 | — | 3 | 2 | no | — |
| 691 | C4×D4 | — | 6 | 2 | no | — |
| 692 | C4×D4 | — | 6 | 2 | no | — |
| 693 | C4×D4 | — | 6 | 2 | no | — |
| 694 | C4×D4 | — | 6 | 2 | no | — |
| 695 | C4×D4 | — | 6 | 2 | no | — |
| 696 | C4×D4 | — | 6 | 2 | no | — |
| 697 | C4×D4 | — | 6 | 2 | no | — |
| 698 | C4×D4 | — | 6 | 2 | no | — |
| 699 | C4×D4 | — | 6 | 2 | no | — |
| 700 | C4×D4 | — | 6 | 2 | no | — |
| 701 | C4×D4 | C22×D3 | 1 | 2 | yes | — |
| 702 | C4×D4 | C22×D3 | 1 | 2 | yes | — |
| 703 | #117 | — | 2 | 2 | no | — |
| 704 | #117 | C22×D3 | 1 | 2 | yes | — |
| 705 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 706 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 707 | C2×C22⋊C4 | — | 3 | 1 | no | — |
| 708 | C2×C22⋊C4 | — | 3 | 1 | no | — |
| 709 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 710 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 711 | C2×C42 | — | 2 | 2 | no | — |
| 712 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 713 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 714 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 715 | #106 | C22×D3 | 1 | 2 | yes | — |
| 716 | C4⋊C8 | — | 3 | 2 | no | — |
| 717 | C4⋊C8 | — | 3 | 2 | no | — |
| 718 | #103 | — | 3 | 2 | no | — |
| 719 | #103 | — | 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 | C22×D3 | 1 | 2 | yes | — |
| 729 | #102 | C22×D3 | 1 | 2 | yes | — |
| 730 | C22⋊C8 | — | 3 | 2 | no | — |
| 731 | C22⋊C8 | — | 3 | 2 | no | — |
| 732 | C22⋊C8 | — | 3 | 2 | no | — |
| 733 | C22⋊C8 | — | 3 | 2 | no | — |
| 734 | #97 | C22×D3 | 1 | 2 | yes | — |
| 735 | #97 | C22×D3 | 1 | 2 | yes | — |
| 736 | C23×C3 | — | 2 | 2 | no | — |
| 737 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 738 | C22×D3 | — | 2 | 2 | no | — |
| 739 | C22×D3 | — | 2 | 2 | no | — |
| 740 | C22×D3 | — | 2 | 2 | no | — |
| 741 | C22×D3 | — | 2 | 2 | no | — |
| 742 | C22×D3 | — | 2 | 2 | no | — |
| 743 | C22×D3 | — | 4 | 1 | no | — |
| 744 | C22×D3 | — | 4 | 1 | no | — |
| 745 | C22×D3 | — | 4 | 1 | no | — |
| 746 | C22×D3 | — | 4 | 4 | no | — |
| 747 | C22×D3 | — | 4 | 4 | no | — |
| 748 | C22×D3 | — | 4 | 4 | no | — |
| 749 | C22×D3 | — | 4 | 4 | no | — |
| 750 | C22×D3 | — | 8 | 2 | no | — |
| 751 | C22×D3 | — | 8 | 2 | no | — |
| 752 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 753 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 754 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 755 | C3×Q8 | — | 2 | 2 | no | — |
| 756 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 757 | C3×D4 | — | 2 | 8 | no | — |
| 758 | C3×D4 | — | 2 | 2 | no | — |
| 759 | C3×D4 | C22×D4 | 1 | 4 | yes | — |
| 760 | C2×C3×C4 | — | 2 | 2 | no | — |
| 761 | C2×C3×C4 | — | 2 | 8 | no | — |
| 762 | C2×C3×C4 | — | 2 | 2 | no | — |
| 763 | C2×C3×C4 | — | 2 | 2 | no | — |
| 764 | C2×C3×C4 | — | 4 | 1 | no | — |
| 765 | C2×C3×C4 | — | 4 | 1 | no | — |
| 766 | C2×C3×C4 | — | 4 | 4 | no | — |
| 767 | C2×C3×C4 | — | 8 | 2 | no | — |
| 768 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 769 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 770 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 771 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 772 | C2×C3×C4 | H(5,𝔽2) | 1 | 2 | yes | — |
| 773 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 774 | #67 | — | 4 | 4 | no | — |
| 775 | #67 | — | 4 | 4 | no | — |
| 776 | #67 | — | 4 | 4 | no | — |
| 777 | #67 | — | 4 | 4 | no | — |
| 778 | #67 | — | 4 | 4 | no | — |
| 779 | #67 | — | 4 | 4 | no | — |
| 780 | C2×Dic3 | — | 2 | 2 | no | — |
| 781 | C2×Dic3 | — | 2 | 2 | no | — |
| 782 | C2×Dic3 | — | 2 | 2 | no | — |
| 783 | C2×Dic3 | — | 2 | 2 | no | — |
| 784 | C2×Dic3 | — | 4 | 4 | no | — |
| 785 | C2×Dic3 | — | 4 | 4 | no | — |
| 786 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 787 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 788 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 789 | D12 | — | 2 | 4 | no | — |
| 790 | D12 | — | 2 | 2 | no | — |
| 791 | D12 | — | 2 | 2 | no | — |
| 792 | D12 | — | 2 | 2 | no | — |
| 793 | D12 | — | 2 | 2 | no | — |
| 794 | D12 | — | 4 | 2 | no | — |
| 795 | D12 | — | 4 | 4 | no | — |
| 796 | D12 | — | 4 | 4 | no | — |
| 797 | D12 | — | 4 | 4 | no | — |
| 798 | D12 | — | 4 | 4 | no | — |
| 799 | D12 | — | 4 | 4 | no | — |
| 800 | D12 | — | 8 | 2 | no | — |
| 801 | D12 | — | 8 | 2 | no | — |
| 802 | D12 | — | 8 | 2 | no | — |
| 803 | C4×D3 | — | 2 | 2 | no | — |
| 804 | C4×D3 | — | 2 | 4 | no | — |
| 805 | C4×D3 | — | 2 | 2 | no | — |
| 806 | C4×D3 | — | 2 | 1 | no | — |
| 807 | C4×D3 | — | 2 | 1 | no | — |
| 808 | C4×D3 | — | 2 | 2 | no | — |
| 809 | C4×D3 | — | 2 | 1 | no | — |
| 810 | C4×D3 | — | 2 | 2 | no | — |
| 811 | C4×D3 | — | 2 | 1 | no | — |
| 812 | C4×D3 | — | 4 | 4 | no | — |
| 813 | C4×D3 | — | 4 | 4 | no | — |
| 814 | C4×D3 | — | 4 | 4 | no | — |
| 815 | C4×D3 | — | 4 | 4 | no | — |
| 816 | C4×D3 | — | 4 | 4 | no | — |
| 817 | C4×D3 | — | 4 | 4 | no | — |
| 818 | Dic6 | — | 2 | 2 | no | — |
| 819 | Dic6 | — | 2 | 2 | no | — |
| 820 | Dic6 | — | 2 | 2 | no | — |
| 821 | Dic6 | — | 2 | 2 | no | — |
| 822 | Dic6 | — | 4 | 4 | no | — |
| 823 | Dic6 | — | 4 | 4 | no | — |
| 824 | C3×C8 | — | 2 | 2 | no | — |
| 825 | C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 826 | C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 827 | C3⋊C8 | — | 2 | 1 | no | — |
| 828 | C3⋊C8 | — | 2 | 1 | no | — |
| 829 | C3⋊C8 | — | 2 | 2 | no | — |
| 830 | C24 | — | 3 | 1 | no | — |
| 831 | C24 | — | 3 | 1 | no | — |
| 832 | C24 | — | 6 | 2 | no | — |
| 833 | C24 | — | 6 | 2 | no | — |
| 834 | #41 | — | 2 | 4 | no | — |
| 835 | #41 | — | 6 | 4 | no | — |
| 836 | #41 | — | 6 | 4 | no | — |
| 837 | #41 | — | 6 | 4 | no | — |
| 838 | #41 | — | 6 | 4 | no | — |
| 839 | #41 | — | 6 | 4 | no | — |
| 840 | #41 | — | 6 | 4 | no | — |
| 841 | #41 | — | 6 | 4 | no | — |
| 842 | #41 | — | 6 | 4 | no | — |
| 843 | #41 | — | 12 | 8 | no | — |
| 844 | #41 | — | 12 | 8 | no | — |
| 845 | #41 | — | 12 | 2 | no | — |
| 846 | #41 | — | 12 | 2 | no | — |
| 847 | #41 | — | 12 | 8 | no | — |
| 848 | #41 | — | 12 | 8 | no | — |
| 849 | #41 | — | 12 | 2 | no | — |
| 850 | #41 | — | 12 | 2 | no | — |
| 851 | #41 | C2×D12 | 1 | 8 | yes | complemented |
| 852 | C2×Q8 | — | 3 | 2 | no | — |
| 853 | C2×Q8 | — | 3 | 2 | no | — |
| 854 | C2×Q8 | — | 6 | 2 | no | — |
| 855 | C2×Q8 | — | 6 | 2 | no | — |
| 856 | C2×Q8 | — | 6 | 4 | no | — |
| 857 | C2×Q8 | — | 6 | 4 | no | — |
| 858 | C2×Q8 | — | 12 | 2 | no | — |
| 859 | C2×Q8 | — | 12 | 2 | no | — |
| 860 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 861 | C2×D4 | — | 2 | 2 | no | — |
| 862 | C2×D4 | — | 3 | 2 | no | — |
| 863 | C2×D4 | — | 3 | 2 | no | — |
| 864 | C2×D4 | — | 3 | 2 | no | — |
| 865 | C2×D4 | — | 3 | 2 | no | — |
| 866 | C2×D4 | — | 6 | 2 | no | — |
| 867 | C2×D4 | — | 6 | 2 | no | — |
| 868 | C2×D4 | — | 6 | 2 | no | — |
| 869 | C2×D4 | — | 6 | 2 | no | — |
| 870 | C2×D4 | — | 6 | 2 | no | — |
| 871 | C2×D4 | — | 6 | 2 | no | — |
| 872 | C2×D4 | — | 6 | 2 | no | — |
| 873 | C2×D4 | — | 6 | 2 | no | — |
| 874 | C2×D4 | — | 6 | 4 | no | — |
| 875 | C2×D4 | — | 6 | 4 | no | — |
| 876 | C2×D4 | — | 6 | 2 | no | — |
| 877 | C2×D4 | — | 6 | 2 | no | — |
| 878 | C2×D4 | — | 6 | 2 | no | — |
| 879 | C2×D4 | — | 6 | 2 | no | — |
| 880 | C2×D4 | — | 6 | 2 | no | — |
| 881 | C2×D4 | — | 6 | 2 | no | — |
| 882 | C2×D4 | — | 12 | 2 | no | — |
| 883 | C2×D4 | — | 12 | 8 | no | — |
| 884 | C2×D4 | — | 12 | 2 | no | — |
| 885 | C2×D4 | — | 12 | 2 | no | — |
| 886 | C2×D4 | — | 12 | 8 | no | — |
| 887 | C2×D4 | — | 12 | 8 | no | — |
| 888 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 889 | C22×C4 | — | 2 | 2 | no | — |
| 890 | C22×C4 | — | 2 | 2 | no | — |
| 891 | C22×C4 | — | 2 | 2 | no | — |
| 892 | C22×C4 | — | 3 | 1 | no | — |
| 893 | C22×C4 | — | 3 | 1 | no | — |
| 894 | C22×C4 | — | 3 | 1 | no | — |
| 895 | C22×C4 | — | 3 | 2 | no | — |
| 896 | C22×C4 | — | 3 | 1 | no | — |
| 897 | C22×C4 | — | 3 | 1 | no | — |
| 898 | C22×C4 | — | 3 | 1 | no | — |
| 899 | C22×C4 | — | 3 | 2 | no | — |
| 900 | C22×C4 | — | 6 | 2 | no | — |
| 901 | C22×C4 | — | 6 | 2 | no | — |
| 902 | C22×C4 | — | 6 | 2 | no | — |
| 903 | C22×C4 | — | 6 | 2 | no | — |
| 904 | C22×C4 | — | 6 | 2 | no | — |
| 905 | C22×C4 | — | 6 | 2 | no | — |
| 906 | C22×C4 | — | 6 | 2 | no | — |
| 907 | C22×C4 | — | 6 | 2 | no | — |
| 908 | C22×C4 | — | 6 | 2 | no | — |
| 909 | C22×C4 | — | 6 | 2 | no | — |
| 910 | C22×C4 | — | 6 | 2 | no | — |
| 911 | C22×C4 | — | 6 | 2 | no | — |
| 912 | C22×C4 | — | 12 | 8 | no | — |
| 913 | C22×C4 | — | 12 | 8 | no | — |
| 914 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 915 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 916 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 917 | Q16 | — | 6 | 4 | no | — |
| 918 | Q16 | — | 6 | 4 | no | — |
| 919 | Q16 | — | 6 | 2 | no | — |
| 920 | Q16 | — | 6 | 2 | no | — |
| 921 | Q16 | — | 12 | 2 | no | — |
| 922 | Q16 | C2×D12 | 1 | 4 | yes | complemented |
| 923 | SD16 | — | 6 | 4 | no | — |
| 924 | SD16 | — | 6 | 4 | no | — |
| 925 | SD16 | — | 6 | 4 | no | — |
| 926 | SD16 | — | 6 | 4 | no | — |
| 927 | SD16 | — | 6 | 4 | no | — |
| 928 | SD16 | — | 6 | 4 | no | — |
| 929 | SD16 | — | 12 | 2 | no | — |
| 930 | SD16 | — | 12 | 2 | no | — |
| 931 | SD16 | C2×D12 | 1 | 8 | yes | complemented |
| 932 | D8 | — | 6 | 4 | no | — |
| 933 | D8 | — | 6 | 4 | no | — |
| 934 | D8 | — | 6 | 2 | no | — |
| 935 | D8 | — | 6 | 2 | no | — |
| 936 | D8 | — | 12 | 2 | no | — |
| 937 | D8 | C2×D12 | 1 | 4 | yes | complemented |
| 938 | M16 | — | 6 | 4 | no | — |
| 939 | M16 | — | 6 | 4 | no | — |
| 940 | C2×C8 | — | 2 | 2 | no | — |
| 941 | C2×C8 | — | 3 | 1 | no | — |
| 942 | C2×C8 | — | 3 | 1 | no | — |
| 943 | C2×C8 | — | 3 | 2 | no | — |
| 944 | C2×C8 | — | 6 | 2 | no | — |
| 945 | C2×C8 | — | 6 | 2 | no | — |
| 946 | C2×C8 | — | 6 | 2 | no | — |
| 947 | C2×C8 | — | 6 | 2 | no | — |
| 948 | C2×C8 | — | 6 | 2 | no | — |
| 949 | C2×C8 | — | 6 | 2 | no | — |
| 950 | C2×C8 | C2×D12 | 1 | 4 | yes | complemented |
| 951 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 952 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 953 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 954 | C4⋊C4 | — | 2 | 2 | no | — |
| 955 | C4⋊C4 | — | 2 | 2 | no | — |
| 956 | C4⋊C4 | — | 3 | 2 | no | — |
| 957 | C4⋊C4 | — | 3 | 2 | no | — |
| 958 | C4⋊C4 | — | 6 | 2 | no | — |
| 959 | C4⋊C4 | — | 6 | 2 | no | — |
| 960 | C4⋊C4 | — | 6 | 2 | no | — |
| 961 | C4⋊C4 | — | 6 | 2 | no | — |
| 962 | C4⋊C4 | — | 6 | 2 | no | — |
| 963 | C4⋊C4 | — | 6 | 2 | no | — |
| 964 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 965 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 966 | C22⋊C4 | — | 2 | 2 | no | — |
| 967 | C22⋊C4 | — | 2 | 2 | no | — |
| 968 | C22⋊C4 | — | 2 | 2 | no | — |
| 969 | C22⋊C4 | — | 3 | 2 | no | — |
| 970 | C22⋊C4 | — | 3 | 2 | no | — |
| 971 | C22⋊C4 | — | 3 | 2 | no | — |
| 972 | C22⋊C4 | — | 3 | 2 | no | — |
| 973 | C22⋊C4 | — | 6 | 2 | no | — |
| 974 | C22⋊C4 | — | 6 | 2 | no | — |
| 975 | C22⋊C4 | — | 6 | 2 | no | — |
| 976 | C22⋊C4 | — | 6 | 2 | no | — |
| 977 | C22⋊C4 | — | 6 | 2 | no | — |
| 978 | C22⋊C4 | — | 6 | 2 | no | — |
| 979 | C22⋊C4 | — | 6 | 2 | no | — |
| 980 | C22⋊C4 | — | 6 | 2 | no | — |
| 981 | C22⋊C4 | — | 6 | 2 | no | — |
| 982 | C22⋊C4 | — | 6 | 2 | no | — |
| 983 | C22⋊C4 | — | 6 | 2 | no | — |
| 984 | C22⋊C4 | — | 6 | 2 | no | — |
| 985 | C42 | — | 2 | 2 | no | — |
| 986 | C42 | — | 2 | 2 | no | — |
| 987 | C42 | — | 2 | 2 | no | — |
| 988 | C42 | D3×D4 | 1 | 2 | yes | — |
| 989 | C42 | C23×D3 | 1 | 2 | yes | — |
| 990 | C22×C3 | — | 2 | 1 | no | — |
| 991 | C22×C3 | — | 2 | 1 | no | — |
| 992 | C22×C3 | — | 2 | 4 | no | — |
| 993 | C22×C3 | — | 4 | 2 | no | — |
| 994 | C22×C3 | — | 4 | 2 | no | — |
| 995 | C22×C3 | D42 | 1 | 2 | yes | — |
| 996 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 997 | C2×D3 | — | 2 | 1 | no | — |
| 998 | C2×D3 | — | 2 | 1 | no | — |
| 999 | C2×D3 | — | 2 | 1 | no | — |
| 1000 | C2×D3 | — | 2 | 2 | no | — |
| 1001 | C2×D3 | — | 2 | 2 | no | — |
| 1002 | C2×D3 | — | 2 | 1 | no | — |
| 1003 | C2×D3 | — | 2 | 2 | no | — |
| 1004 | C2×D3 | — | 2 | 1 | no | — |
| 1005 | C2×D3 | — | 4 | 4 | no | — |
| 1006 | C2×D3 | — | 4 | 2 | no | — |
| 1007 | C2×D3 | — | 4 | 2 | no | — |
| 1008 | C2×D3 | — | 4 | 2 | no | — |
| 1009 | C2×D3 | — | 4 | 2 | no | — |
| 1010 | C2×D3 | — | 4 | 2 | no | — |
| 1011 | C2×D3 | — | 4 | 2 | no | — |
| 1012 | C2×D3 | — | 8 | 8 | no | — |
| 1013 | C2×D3 | — | 8 | 2 | no | — |
| 1014 | C2×D3 | — | 8 | 8 | no | — |
| 1015 | C2×D3 | #575 | 1 | 2 | yes | complemented |
| 1016 | C3×C4 | — | 2 | 2 | no | — |
| 1017 | C3×C4 | — | 2 | 4 | no | — |
| 1018 | C3×C4 | — | 2 | 2 | no | — |
| 1019 | C3×C4 | — | 4 | 2 | no | — |
| 1020 | C3×C4 | — | 4 | 2 | no | — |
| 1021 | C3×C4 | D42 | 1 | 2 | yes | — |
| 1022 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1023 | C3×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1024 | Dic3 | — | 2 | 1 | no | — |
| 1025 | Dic3 | — | 2 | 2 | no | — |
| 1026 | Dic3 | — | 2 | 1 | no | — |
| 1027 | Dic3 | — | 4 | 2 | no | — |
| 1028 | Dic3 | — | 4 | 2 | no | — |
| 1029 | C23 | — | 2 | 2 | no | — |
| 1030 | C23 | — | 3 | 1 | no | — |
| 1031 | C23 | — | 3 | 2 | no | — |
| 1032 | C23 | — | 3 | 1 | no | — |
| 1033 | C23 | — | 6 | 2 | no | — |
| 1034 | C23 | — | 6 | 2 | no | — |
| 1035 | C23 | — | 6 | 2 | no | — |
| 1036 | C23 | — | 6 | 2 | no | — |
| 1037 | C23 | — | 6 | 2 | no | — |
| 1038 | C23 | — | 12 | 1 | no | — |
| 1039 | C23 | — | 12 | 1 | no | — |
| 1040 | C23 | — | 12 | 1 | no | — |
| 1041 | C23 | — | 12 | 4 | no | — |
| 1042 | C23 | — | 12 | 4 | no | — |
| 1043 | C23 | — | 12 | 4 | no | — |
| 1044 | C23 | — | 12 | 4 | no | — |
| 1045 | C23 | — | 24 | 2 | no | — |
| 1046 | C23 | — | 24 | 2 | no | — |
| 1047 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1048 | Q8 | — | 2 | 2 | no | — |
| 1049 | Q8 | — | 6 | 2 | no | — |
| 1050 | Q8 | — | 6 | 2 | no | — |
| 1051 | Q8 | — | 6 | 2 | no | — |
| 1052 | Q8 | — | 6 | 2 | no | — |
| 1053 | Q8 | — | 12 | 4 | no | — |
| 1054 | Q8 | — | 12 | 4 | no | — |
| 1055 | Q8 | C22×D12 | 1 | 4 | yes | — |
| 1056 | D4 | — | 2 | 8 | no | — |
| 1057 | D4 | — | 2 | 2 | no | — |
| 1058 | D4 | — | 6 | 4 | no | — |
| 1059 | D4 | — | 6 | 2 | no | — |
| 1060 | D4 | — | 6 | 2 | no | — |
| 1061 | D4 | — | 6 | 2 | no | — |
| 1062 | D4 | — | 6 | 2 | no | — |
| 1063 | D4 | — | 12 | 2 | no | — |
| 1064 | D4 | — | 12 | 4 | no | — |
| 1065 | D4 | — | 12 | 4 | no | — |
| 1066 | D4 | — | 12 | 4 | no | — |
| 1067 | D4 | — | 12 | 4 | no | — |
| 1068 | D4 | — | 12 | 4 | no | — |
| 1069 | D4 | — | 12 | 4 | no | — |
| 1070 | D4 | — | 12 | 4 | no | — |
| 1071 | D4 | — | 12 | 4 | no | — |
| 1072 | D4 | — | 12 | 4 | no | — |
| 1073 | D4 | — | 12 | 4 | no | — |
| 1074 | D4 | — | 12 | 4 | no | — |
| 1075 | D4 | — | 24 | 2 | no | — |
| 1076 | D4 | — | 24 | 2 | no | — |
| 1077 | D4 | — | 24 | 2 | no | — |
| 1078 | D4 | C22×D12 | 1 | 4 | yes | — |
| 1079 | C2×C4 | — | 2 | 2 | no | — |
| 1080 | C2×C4 | — | 2 | 8 | no | — |
| 1081 | C2×C4 | — | 2 | 2 | no | — |
| 1082 | C2×C4 | — | 2 | 2 | no | — |
| 1083 | C2×C4 | — | 3 | 1 | no | — |
| 1084 | C2×C4 | — | 3 | 2 | no | — |
| 1085 | C2×C4 | — | 3 | 1 | no | — |
| 1086 | C2×C4 | — | 4 | 1 | no | — |
| 1087 | C2×C4 | — | 4 | 1 | no | — |
| 1088 | C2×C4 | — | 4 | 4 | no | — |
| 1089 | C2×C4 | — | 6 | 2 | no | — |
| 1090 | C2×C4 | — | 6 | 2 | no | — |
| 1091 | C2×C4 | — | 6 | 1 | no | — |
| 1092 | C2×C4 | — | 6 | 1 | no | — |
| 1093 | C2×C4 | — | 6 | 2 | no | — |
| 1094 | C2×C4 | — | 6 | 1 | no | — |
| 1095 | C2×C4 | — | 6 | 2 | no | — |
| 1096 | C2×C4 | — | 6 | 1 | no | — |
| 1097 | C2×C4 | — | 6 | 2 | no | — |
| 1098 | C2×C4 | — | 6 | 4 | no | — |
| 1099 | C2×C4 | — | 6 | 2 | no | — |
| 1100 | C2×C4 | — | 6 | 2 | no | — |
| 1101 | C2×C4 | — | 6 | 2 | no | — |
| 1102 | C2×C4 | — | 8 | 2 | no | — |
| 1103 | C2×C4 | — | 12 | 4 | no | — |
| 1104 | C2×C4 | — | 12 | 4 | no | — |
| 1105 | C2×C4 | — | 12 | 4 | no | — |
| 1106 | C2×C4 | — | 12 | 4 | no | — |
| 1107 | C2×C4 | — | 12 | 4 | no | — |
| 1108 | C2×C4 | — | 12 | 4 | no | — |
| 1109 | C2×C4 | — | 12 | 4 | no | — |
| 1110 | C2×C4 | — | 12 | 4 | no | — |
| 1111 | C2×C4 | C22×D12 | 1 | 2 | yes | — |
| 1112 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1113 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1114 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1115 | C2×C4 | #1009 | 1 | 2 | yes | — |
| 1116 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1117 | C8 | — | 2 | 2 | no | — |
| 1118 | C8 | — | 6 | 1 | no | — |
| 1119 | C8 | — | 6 | 1 | no | — |
| 1120 | C8 | — | 6 | 2 | no | — |
| 1121 | C8 | C22×D12 | 1 | 2 | yes | — |
| 1122 | C8 | C22×D12 | 1 | 2 | yes | — |
| 1123 | C2×C3 | — | 2 | 2 | no | — |
| 1124 | C2×C3 | — | 4 | 4 | no | — |
| 1125 | C2×C3 | C2×D42 | 1 | 1 | yes | characteristic |
| 1126 | C2×C3 | C2×#575 | 1 | 1 | yes | characteristic |
| 1127 | C2×C3 | #3584 | 1 | 1 | yes | characteristic |
| 1128 | D3 | — | 2 | 2 | no | — |
| 1129 | D3 | — | 4 | 1 | no | — |
| 1130 | D3 | — | 4 | 2 | no | — |
| 1131 | D3 | — | 8 | 2 | no | — |
| 1132 | D3 | — | 8 | 2 | no | — |
| 1133 | C22 | — | 2 | 1 | no | — |
| 1134 | C22 | — | 2 | 1 | no | — |
| 1135 | C22 | — | 2 | 4 | no | — |
| 1136 | C22 | — | 3 | 2 | no | — |
| 1137 | C22 | — | 4 | 2 | no | — |
| 1138 | C22 | — | 4 | 2 | no | — |
| 1139 | C22 | — | 6 | 1 | no | — |
| 1140 | C22 | — | 6 | 1 | no | — |
| 1141 | C22 | — | 6 | 2 | no | — |
| 1142 | C22 | — | 6 | 1 | no | — |
| 1143 | C22 | — | 6 | 2 | no | — |
| 1144 | C22 | — | 6 | 1 | no | — |
| 1145 | C22 | — | 6 | 1 | no | — |
| 1146 | C22 | — | 6 | 2 | no | — |
| 1147 | C22 | — | 12 | 4 | no | — |
| 1148 | C22 | — | 12 | 2 | no | — |
| 1149 | C22 | — | 12 | 2 | no | — |
| 1150 | C22 | — | 12 | 2 | no | — |
| 1151 | C22 | — | 12 | 2 | no | — |
| 1152 | C22 | — | 12 | 2 | no | — |
| 1153 | C22 | — | 12 | 2 | no | — |
| 1154 | C22 | — | 24 | 2 | no | — |
| 1155 | C22 | — | 24 | 8 | no | — |
| 1156 | C22 | — | 24 | 8 | no | — |
| 1157 | C22 | D4×D12 | 1 | 2 | yes | — |
| 1158 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1159 | C4 | — | 2 | 4 | no | — |
| 1160 | C4 | — | 2 | 2 | no | — |
| 1161 | C4 | — | 2 | 2 | no | — |
| 1162 | C4 | — | 4 | 2 | no | — |
| 1163 | C4 | — | 4 | 2 | no | — |
| 1164 | C4 | — | 6 | 1 | no | — |
| 1165 | C4 | — | 6 | 2 | no | — |
| 1166 | C4 | — | 6 | 1 | no | — |
| 1167 | C4 | — | 12 | 2 | no | — |
| 1168 | C4 | — | 12 | 2 | no | — |
| 1169 | C4 | D4×D12 | 1 | 2 | yes | — |
| 1170 | C4 | C23×D12 | 1 | 1 | yes | characteristic |
| 1171 | C4 | C2×#1009 | 1 | 1 | yes | characteristic |
| 1172 | C3 | #61030 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1173 | C2 | — | 2 | 2 | no | — |
| 1174 | C2 | — | 4 | 4 | no | — |
| 1175 | C2 | — | 6 | 2 | no | — |
| 1176 | C2 | — | 12 | 1 | no | — |
| 1177 | C2 | — | 12 | 2 | no | — |
| 1178 | C2 | — | 24 | 2 | no | — |
| 1179 | C2 | — | 24 | 2 | no | — |
| 1180 | C2 | C2×D4×D12 | 1 | 1 | yes | characteristic |
| 1181 | C2 | D3×#575 | 1 | 1 | yes | characteristic |
| 1182 | C2 | #87199 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#5768 | C2 | semidirect |
| 2. C2×D3×#135 | C2 | semidirect |
| 3. #41×D12 | C2 | semidirect |
| 4. C3×#2943 | C2 | semidirect |
| 5. #82525 | C2 | semidirect |
| 6. #79879 | C2 | semidirect |
| 7. #79878 | C2 | semidirect |
| 8. #79840 | C2 | semidirect |
| 9. #79839 | C2 | semidirect |
| 10. #79797 | C2 | semidirect |
| 11. #79796 | C2 | semidirect |
| 12. #79795 | C2 | semidirect |
| 13. #79794 | C2 | semidirect |
| 14. #79181 | C2 | semidirect |
| 15. #79180 | C2 | semidirect |
| 16. #78833 | C2 | semidirect |
| 17. #78833 | C2 | semidirect |
| 18. #78499 | C2 | semidirect |
| 19. C2×#4706 | C2 | semidirect |
| 21. C2×D3×#41 | C22 | semidirect |
| 22. C2×D3×#41 | C22 | semidirect |
| 24. C3×C4×#41 | C22 | semidirect |
| 25. C2×#950 | C22 | semidirect |
| 26. C2×#950 | C22 | semidirect |
| 29. C2×#919 | C22 | semidirect |
| 30. C2×#918 | C22 | semidirect |
| 31. C2×D3×Q16 | C22 | semidirect |
| 32. C2×#916 | C22 | semidirect |
| 33. C2×#915 | C22 | semidirect |
| 34. C2×#914 | C22 | semidirect |
| 35. C2×D3×SD16 | C22 | semidirect |
| 36. C2×#912 | C22 | semidirect |
| 37. C2×#911 | C22 | semidirect |
| 38. C2×D3×D8 | C22 | semidirect |
| 39. C2×#904 | C22 | semidirect |
| 40. C2×#904 | C22 | semidirect |
| 41. C2×#904 | C22 | semidirect |
| 42. C22×ΓL(1,𝔽25) | C22 | semidirect |
| 43. C22×D3×C8 | C22 | semidirect |
| 44. #5577 | C22 | semidirect |
| 46. #5576 | C22 | semidirect |
| 47. Q8×D12 | C22 | semidirect |
| 49. #5555 | C22 | semidirect |
| 53. #5554 | C22 | semidirect |
| 55. D4×D12 | C22 | semidirect |
| 58. #5524 | C22 | semidirect |
| 59. #5524 | C22 | semidirect |
| 61. #5477 | C22 | semidirect |
| 64. C3×#442 | C22 | semidirect |
| 65. C3×#441 | C22 | semidirect |
| 66. C3×#440 | C22 | semidirect |
| 67. C3×#440 | C22 | semidirect |
| 68. C3×#427 | C22 | semidirect |
| 69. C3×#416 | C22 | semidirect |
| 70. C2×C3×#97 | C22 | semidirect |
| 71. C2×(C2×D3)⋊C8 | C22 | semidirect |
| 72. C2×(C2×D3)⋊C8 | C22 | semidirect |
| 73. #5031 | C22 | semidirect |
| 74. #5028 | C22 | semidirect |
| 75. #5028 | C22 | semidirect |
| 76. #5027 | C22 | semidirect |
| 77. #5019 | C22 | semidirect |
| 78. #5016 | C22 | semidirect |
| 79. #5016 | C22 | semidirect |
| 80. #5015 | C22 | semidirect |
| 81. #5002 | C22 | semidirect |
| 82. #5002 | C22 | semidirect |
| 83. C2×C4⋊(C3⋊C8) | C22 | semidirect |
| 84. #4887 | C22 | semidirect |
| 85. #4887 | C22 | semidirect |
| 86. #4886 | C22 | semidirect |
| 87. #4886 | C22 | semidirect |
| 88. #4883 | C22 | semidirect |
| 89. #4883 | C22 | semidirect |
| 90. #4867 | C22 | semidirect |
| 91. #4865 | C22 | semidirect |
| 92. #4864 | C22 | semidirect |
| 93. #4864 | C22 | semidirect |
| 94. #4810 | C22 | semidirect |
| 95. #4810 | C22 | semidirect |
| 96. #4809 | C22 | semidirect |
| 97. #4809 | C22 | semidirect |
| 98. #4808 | C22 | semidirect |
| 99. #4808 | C22 | semidirect |
| 100. #4806 | C22 | semidirect |
| 101. #4806 | C22 | semidirect |
| 102. #4783 | C22 | semidirect |
| 103. #4783 | C22 | semidirect |
| 104. #4781 | C22 | semidirect |
| 105. #4781 | C22 | semidirect |
| 106. #4776 | C22 | semidirect |
| 107. #4776 | C22 | semidirect |
| 108. #4773 | C22 | semidirect |
| 109. #4773 | C22 | semidirect |
| 110. #4715 | C22 | semidirect |
| 111. #4715 | C22 | semidirect |
| 112. #4712 | C22 | semidirect |
| 113. #4712 | C22 | semidirect |
| 114. #4706 | C22 | semidirect |
| 115. #4706 | C22 | semidirect |
| 116. #4706 | C22 | semidirect |
| 117. #4706 | C22 | semidirect |
| 135. #2943 | D3 | semidirect |
| 164. C3×#135 | D4 | semidirect |
| 348. C4×#41 | C2×D3 | semidirect |
| 389. #442 | C2×D3 | semidirect |
| 390. #441 | C2×D3 | semidirect |
| 391. #440 | C2×D3 | semidirect |
| 392. #440 | C2×D3 | semidirect |
| 397. #427 | C2×D3 | semidirect |
| 401. #416 | C2×D3 | semidirect |
| 404. C2×#97 | C2×D3 | semidirect |
| 410. C3×#41 | C2×D4 | semidirect |
| 492. C3×Q16 | C2×D4 | semidirect |
| 493. C3×SD16 | C2×D4 | semidirect |
| 494. C3×D8 | C2×D4 | semidirect |
| 496. C2×C3×C8 | C2×D4 | semidirect |
| 604. #135 | D12 | semidirect |
| 851. #41 | C2×D12 | semidirect |
| 922. Q16 | C2×D12 | semidirect |
| 931. SD16 | C2×D12 | semidirect |
| 937. D8 | C2×D12 | semidirect |
| 950. C2×C8 | C2×D12 | semidirect |
| 1015. C2×D3 | #575 | semidirect |
| 1172. C3 | #61030 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#5768 | 2 |
| C2×D3×#135 | 2 |
| #41×D12 | 2 |
| C3×#2943 | 2 |
| #82525 | 2 |
| #79879 | 2 |
| #79878 | 2 |
| #79840 | 2 |
| #79839 | 2 |
| #79797 | 2 |
| #79796 | 2 |
| #79795 | 2 |
| #79794 | 2 |
| #79181 | 2 |
| #79180 | 2 |
| #78833 | 2 |
| #78499 | 2 |
| C2×#4706 | 2 |
| #61030 | 3 |