Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
4782 conjugacy classes of subgroups.
The subgroup lattice has 1000 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#5964 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5822 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C22×#904 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #85735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×C3×#416 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#5110 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #82213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #78837 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #78836 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #78835 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #78834 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #78833 | C2 | 1 | 8 | yes | maximal, complemented |
| 13 | #78795 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #78747 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #60366 | — | 3 | 1 | no | maximal, Sylow |
| 16 | C22×C3×#41 | C22 | 1 | 1 | yes | characteristic |
| 17 | #5964 | — | 2 | 8 | no | — |
| 18 | #5964 | — | 2 | 8 | no | — |
| 19 | C2×#1010 | — | 2 | 1 | no | — |
| 20 | C2×#1010 | C22 | 1 | 2 | yes | — |
| 21 | C2×#1009 | — | 2 | 1 | no | — |
| 22 | C2×#1009 | C22 | 1 | 2 | yes | — |
| 23 | C2×D3×#41 | — | 2 | 2 | no | — |
| 24 | C2×D3×#41 | C22 | 1 | 4 | yes | complemented |
| 25 | C2×#1007 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×#1004 | — | 2 | 2 | no | — |
| 27 | C2×#1004 | C22 | 1 | 2 | yes | complemented |
| 28 | C22×#235 | — | 2 | 2 | no | — |
| 29 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 30 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 31 | C22×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C23×C3×C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×C3×#117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#951 | C22 | 1 | 2 | yes | complemented |
| 35 | #5822 | — | 2 | 8 | no | — |
| 36 | C2×#950 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×#949 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#942 | C22 | 1 | 2 | yes | complemented |
| 39 | C2×#932 | C22 | 1 | 2 | yes | complemented |
| 40 | C22×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C22×Dic12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#904 | — | 2 | 8 | no | — |
| 43 | C2×#904 | C22 | 1 | 4 | yes | complemented |
| 44 | C2×#904 | C22 | 1 | 4 | yes | complemented |
| 45 | C22×D24 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C22×#204 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C22×#204 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #5526 | — | 2 | 1 | no | — |
| 49 | #5526 | C22 | 1 | 2 | yes | complemented |
| 50 | #5525 | — | 2 | 1 | no | — |
| 51 | #5525 | C22 | 1 | 2 | yes | complemented |
| 52 | #5524 | — | 2 | 2 | no | — |
| 53 | #5524 | C22 | 1 | 4 | yes | complemented |
| 54 | #5510 | C22 | 1 | 4 | yes | complemented |
| 55 | #5493 | — | 2 | 2 | no | — |
| 56 | #5477 | — | 2 | 2 | no | — |
| 57 | C3×#416 | C22 | 1 | 4 | yes | complemented |
| 58 | C3×#416 | C22 | 1 | 2 | yes | complemented |
| 59 | C3×#416 | C22 | 1 | 2 | yes | complemented |
| 60 | C2×C3×#103 | C22 | 1 | 2 | yes | complemented |
| 61 | C2×C3×#102 | C22 | 1 | 2 | yes | complemented |
| 62 | #5110 | C22 | 1 | 4 | yes | complemented |
| 63 | #5110 | C22 | 1 | 2 | yes | complemented |
| 64 | #5110 | C22 | 1 | 2 | yes | complemented |
| 65 | C2×(C2×D3)⋊C8 | C22 | 1 | 4 | yes | complemented |
| 66 | #5004 | C22 | 1 | 2 | yes | complemented |
| 67 | #5002 | C22 | 1 | 4 | yes | complemented |
| 68 | #5001 | C22 | 1 | 2 | yes | complemented |
| 69 | #4966 | C22 | 1 | 4 | yes | complemented |
| 70 | #4810 | C22 | 1 | 8 | yes | complemented |
| 71 | #4809 | C22 | 1 | 8 | yes | complemented |
| 72 | #4808 | C22 | 1 | 8 | yes | complemented |
| 73 | #4806 | C22 | 1 | 8 | yes | complemented |
| 74 | #4783 | C22 | 1 | 8 | yes | complemented |
| 75 | #4781 | C22 | 1 | 8 | yes | complemented |
| 76 | #4776 | C22 | 1 | 8 | yes | complemented |
| 77 | #4773 | C22 | 1 | 8 | yes | complemented |
| 78 | C2×#585 | — | 3 | 1 | no | — |
| 79 | C2×#575 | — | 3 | 1 | no | — |
| 80 | C22×#135 | — | 3 | 1 | no | — |
| 81 | #3449 | — | 3 | 1 | no | — |
| 82 | #3013 | — | 3 | 4 | no | — |
| 83 | #3012 | — | 3 | 4 | no | — |
| 84 | #3011 | — | 3 | 2 | no | — |
| 85 | #3010 | — | 3 | 2 | no | — |
| 86 | #3009 | — | 3 | 2 | no | — |
| 87 | #3008 | — | 3 | 2 | no | — |
| 88 | #3002 | — | 3 | 8 | no | — |
| 89 | #2896 | — | 3 | 1 | no | — |
| 90 | C2×#416 | D3 | 1 | 1 | yes | characteristic, complemented |
| 91 | C2×#408 | — | 3 | 1 | no | — |
| 92 | C2×C3×#41 | — | 2 | 1 | no | — |
| 93 | C2×C3×#41 | — | 2 | 1 | no | — |
| 94 | C2×C3×#41 | — | 2 | 4 | no | — |
| 95 | C2×C3×#41 | D4 | 1 | 8 | yes | complemented |
| 96 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 97 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 98 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 99 | C22×C3×D4 | — | 2 | 1 | no | — |
| 100 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 101 | C23×C3×C4 | — | 2 | 1 | no | — |
| 102 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×#67 | — | 2 | 1 | no | — |
| 104 | C22×#67 | — | 2 | 4 | no | — |
| 105 | C22×#67 | — | 2 | 1 | no | — |
| 106 | C22×#67 | D4 | 1 | 2 | yes | — |
| 107 | #1010 | — | 2 | 16 | no | — |
| 108 | #1010 | — | 2 | 8 | no | — |
| 109 | #1010 | — | 2 | 8 | no | — |
| 110 | #1009 | — | 2 | 16 | no | — |
| 111 | #1009 | — | 2 | 8 | no | — |
| 112 | #1009 | — | 2 | 8 | no | — |
| 113 | D3×#41 | — | 2 | 32 | no | — |
| 114 | D3×#41 | — | 2 | 16 | no | — |
| 115 | D3×#41 | — | 2 | 16 | no | — |
| 116 | #1007 | — | 2 | 8 | no | — |
| 117 | #1007 | — | 2 | 8 | no | — |
| 118 | C2×#239 | — | 2 | 2 | no | — |
| 119 | C2×#239 | C23 | 1 | 4 | yes | — |
| 120 | C2×D3×Q8 | — | 2 | 2 | no | — |
| 121 | C2×D3×Q8 | C23 | 1 | 4 | yes | — |
| 122 | #1004 | — | 2 | 32 | no | — |
| 123 | #1004 | — | 2 | 8 | no | — |
| 124 | #1004 | — | 2 | 8 | no | — |
| 125 | C2×#237 | — | 2 | 4 | no | — |
| 126 | C2×#237 | — | 2 | 4 | no | — |
| 127 | C2×#237 | — | 2 | 2 | no | — |
| 128 | C2×#237 | C23 | 1 | 4 | yes | — |
| 129 | C2×D3×D4 | — | 2 | 4 | no | — |
| 130 | C2×D3×D4 | — | 2 | 4 | no | — |
| 131 | C2×D3×D4 | — | 2 | 2 | no | — |
| 132 | C2×D3×D4 | C23 | 1 | 4 | yes | — |
| 133 | C2×#235 | — | 2 | 32 | no | — |
| 134 | C2×#235 | — | 2 | 1 | no | — |
| 135 | C2×#235 | — | 2 | 1 | no | — |
| 136 | C2×#235 | — | 2 | 4 | no | — |
| 137 | C2×#235 | — | 2 | 4 | no | — |
| 138 | C2×#235 | — | 2 | 4 | no | — |
| 139 | C2×#235 | — | 2 | 4 | no | — |
| 140 | C2×#235 | — | 2 | 1 | no | — |
| 141 | C2×#235 | — | 2 | 1 | no | — |
| 142 | C2×#235 | — | 2 | 2 | no | — |
| 143 | C2×#235 | — | 2 | 4 | no | — |
| 144 | C2×#235 | — | 2 | 4 | no | — |
| 145 | C2×#235 | — | 2 | 4 | no | — |
| 146 | C2×#235 | — | 2 | 2 | no | — |
| 147 | C2×#235 | D4 | 1 | 2 | yes | — |
| 148 | C2×#235 | D4 | 1 | 2 | yes | — |
| 149 | C2×#235 | D4 | 1 | 8 | yes | complemented |
| 150 | C2×#235 | C23 | 1 | 2 | yes | — |
| 151 | C2×#235 | C23 | 1 | 2 | yes | — |
| 152 | C2×#235 | C23 | 1 | 2 | yes | — |
| 153 | C2×#235 | C23 | 1 | 2 | yes | — |
| 154 | C2×#235 | C23 | 1 | 2 | yes | — |
| 155 | C2×#235 | C23 | 1 | 2 | yes | — |
| 156 | C22×D12 | — | 2 | 2 | no | — |
| 157 | C22×D12 | D4 | 1 | 1 | yes | characteristic |
| 158 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 159 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 160 | C22×C4×D3 | — | 2 | 1 | no | — |
| 161 | C22×C4×D3 | — | 2 | 4 | no | — |
| 162 | C22×C4×D3 | — | 2 | 1 | no | — |
| 163 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 164 | C22×Dic6 | — | 2 | 2 | no | — |
| 165 | C22×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 166 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 167 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 168 | C22×C3×C8 | — | 2 | 4 | no | — |
| 169 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 170 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 171 | C22×C3×C8 | C23 | 1 | 2 | yes | — |
| 172 | C22×C3×C8 | C23 | 1 | 2 | yes | — |
| 173 | C3×#117 | — | 2 | 1 | no | — |
| 174 | C3×#117 | — | 2 | 1 | no | — |
| 175 | C3×#117 | C23 | 1 | 2 | yes | — |
| 176 | C3×#117 | C23 | 1 | 2 | yes | — |
| 177 | C2×C3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 178 | C2×C3×C22⋊C4 | — | 2 | 1 | no | — |
| 179 | C2×C3×C42 | — | 2 | 1 | no | — |
| 180 | #951 | — | 2 | 8 | no | — |
| 181 | #950 | — | 2 | 16 | no | — |
| 182 | #949 | — | 2 | 8 | no | — |
| 183 | C2×#216 | C23 | 1 | 4 | yes | — |
| 184 | #942 | — | 2 | 8 | no | — |
| 185 | C2×#215 | C23 | 1 | 4 | yes | — |
| 186 | C2×#214 | C23 | 1 | 4 | yes | — |
| 187 | #932 | — | 2 | 8 | no | — |
| 188 | C2×#213 | C23 | 1 | 4 | yes | — |
| 189 | #930 | — | 2 | 8 | no | — |
| 190 | C2×#208 | — | 2 | 4 | no | — |
| 191 | C2×#208 | C23 | 1 | 2 | yes | — |
| 192 | C2×#208 | C23 | 1 | 2 | yes | — |
| 193 | C22×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 194 | C2×Dic12 | — | 2 | 4 | no | — |
| 195 | C2×Dic12 | C23 | 1 | 4 | yes | — |
| 196 | #904 | — | 2 | 16 | no | — |
| 197 | #904 | — | 2 | 16 | no | — |
| 198 | C2×D24 | — | 2 | 4 | no | — |
| 199 | C2×D24 | C23 | 1 | 4 | yes | — |
| 200 | C2×#204 | — | 2 | 4 | no | — |
| 201 | C2×#204 | — | 2 | 4 | no | — |
| 202 | C2×#204 | C23 | 1 | 4 | yes | — |
| 203 | C2×#204 | C23 | 1 | 4 | yes | — |
| 204 | #897 | — | 2 | 4 | no | — |
| 205 | #897 | C23 | 1 | 8 | yes | — |
| 206 | #895 | — | 2 | 4 | no | — |
| 207 | #895 | C23 | 1 | 8 | yes | — |
| 208 | #886 | — | 2 | 4 | no | — |
| 209 | #886 | — | 2 | 4 | no | — |
| 210 | #882 | — | 2 | 4 | no | — |
| 211 | #882 | — | 2 | 4 | no | — |
| 212 | #875 | — | 2 | 2 | no | — |
| 213 | #875 | — | 2 | 2 | no | — |
| 214 | #874 | — | 2 | 2 | no | — |
| 215 | C4×D12 | — | 2 | 8 | no | — |
| 216 | #869 | — | 2 | 2 | no | — |
| 217 | C3×#103 | C23 | 1 | 4 | yes | — |
| 218 | C3×#103 | C23 | 1 | 4 | yes | — |
| 219 | C3×#102 | C23 | 1 | 4 | yes | — |
| 220 | C3×#102 | C23 | 1 | 4 | yes | — |
| 221 | (C2×D3)⋊C8 | C23 | 1 | 8 | yes | — |
| 222 | (C2×D3)⋊C8 | C23 | 1 | 8 | yes | — |
| 223 | #810 | C23 | 1 | 8 | yes | — |
| 224 | #809 | C23 | 1 | 8 | yes | — |
| 225 | #585 | — | 6 | 8 | no | — |
| 226 | #585 | — | 6 | 8 | no | — |
| 227 | C2×2−1+4 | — | 3 | 2 | no | — |
| 228 | C2×2−1+4 | — | 3 | 2 | no | — |
| 229 | C2×2−1+4 | — | 6 | 1 | no | — |
| 230 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 231 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 232 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 233 | C2×H(5,𝔽2) | — | 6 | 1 | no | — |
| 234 | C22×#41 | — | 3 | 1 | no | — |
| 235 | C22×#41 | — | 3 | 4 | no | — |
| 236 | C22×#41 | — | 3 | 1 | no | — |
| 237 | C22×#41 | — | 3 | 1 | no | — |
| 238 | C22×#41 | — | 6 | 2 | no | — |
| 239 | C22×#41 | — | 6 | 2 | no | — |
| 240 | C22×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 241 | #575 | — | 6 | 8 | no | — |
| 242 | C2×#137 | — | 3 | 2 | no | — |
| 243 | C2×#137 | — | 3 | 2 | no | — |
| 244 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 245 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 246 | C2×#135 | — | 3 | 4 | no | — |
| 247 | C2×#135 | — | 3 | 4 | no | — |
| 248 | C2×#135 | — | 3 | 4 | no | — |
| 249 | C2×#135 | — | 6 | 8 | no | — |
| 250 | C22×Q16 | — | 3 | 1 | no | — |
| 251 | C22×SD16 | — | 3 | 1 | no | — |
| 252 | C22×SD16 | — | 3 | 1 | no | — |
| 253 | C22×D8 | — | 3 | 1 | no | — |
| 254 | C22×M16 | — | 3 | 1 | no | — |
| 255 | C23×C8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 256 | #537 | — | 3 | 4 | no | — |
| 257 | #536 | — | 3 | 2 | no | — |
| 258 | #536 | — | 6 | 1 | no | — |
| 259 | #535 | — | 3 | 2 | no | — |
| 260 | #535 | — | 6 | 1 | no | — |
| 261 | #534 | — | 6 | 2 | no | — |
| 262 | #532 | — | 6 | 2 | no | — |
| 263 | #525 | — | 3 | 4 | no | — |
| 264 | #525 | — | 6 | 2 | no | — |
| 265 | C2×#117 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 266 | #452 | — | 3 | 8 | no | — |
| 267 | #452 | — | 3 | 8 | no | — |
| 268 | #451 | — | 3 | 8 | no | — |
| 269 | #450 | — | 3 | 8 | no | — |
| 270 | #449 | — | 3 | 8 | no | — |
| 271 | #449 | — | 3 | 8 | no | — |
| 272 | #448 | — | 3 | 8 | no | — |
| 273 | #447 | — | 3 | 8 | no | — |
| 274 | #419 | — | 3 | 2 | no | — |
| 275 | #418 | — | 3 | 2 | no | — |
| 276 | #417 | — | 3 | 4 | no | — |
| 277 | #416 | — | 3 | 4 | no | — |
| 278 | #416 | C2×D3 | 1 | 4 | yes | complemented |
| 279 | #416 | C2×D3 | 1 | 2 | yes | complemented |
| 280 | #416 | C2×D3 | 1 | 2 | yes | complemented |
| 281 | C2×#103 | C2×D3 | 1 | 2 | yes | complemented |
| 282 | C2×#102 | C2×D3 | 1 | 2 | yes | complemented |
| 283 | #408 | — | 3 | 2 | no | — |
| 284 | #408 | — | 3 | 2 | no | — |
| 285 | #408 | — | 3 | 4 | no | — |
| 286 | C2×C22⋊C8 | — | 3 | 4 | no | — |
| 287 | C24×C3 | — | 2 | 1 | no | — |
| 288 | C24×C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 289 | C23×D3 | — | 2 | 1 | no | — |
| 290 | C23×D3 | — | 2 | 4 | no | — |
| 291 | C23×D3 | — | 2 | 1 | no | — |
| 292 | C23×D3 | C2×D4 | 1 | 2 | yes | — |
| 293 | C3×#41 | — | 2 | 8 | no | — |
| 294 | C3×#41 | — | 2 | 8 | no | — |
| 295 | C3×#41 | — | 2 | 4 | no | — |
| 296 | C3×#41 | — | 2 | 4 | no | — |
| 297 | C3×#41 | C2×D4 | 1 | 8 | yes | — |
| 298 | C3×#41 | C2×D4 | 1 | 8 | yes | — |
| 299 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 300 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 301 | C2×C3×Q8 | C2×D4 | 1 | 4 | yes | — |
| 302 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 303 | C2×C3×D4 | — | 2 | 8 | no | — |
| 304 | C2×C3×D4 | — | 2 | 2 | no | — |
| 305 | C2×C3×D4 | — | 2 | 2 | no | — |
| 306 | C2×C3×D4 | — | 2 | 1 | no | — |
| 307 | C2×C3×D4 | — | 2 | 2 | no | — |
| 308 | C2×C3×D4 | C2×D4 | 1 | 4 | yes | — |
| 309 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 310 | C22×C3×C4 | — | 2 | 1 | no | — |
| 311 | C22×C3×C4 | — | 2 | 8 | no | — |
| 312 | C22×C3×C4 | — | 2 | 2 | no | — |
| 313 | C22×C3×C4 | — | 2 | 2 | no | — |
| 314 | C22×C3×C4 | — | 2 | 2 | no | — |
| 315 | C22×C3×C4 | C2×D4 | 1 | 4 | yes | — |
| 316 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 317 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 318 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 319 | C22×C3×C4 | C2×D4 | 1 | 4 | yes | — |
| 320 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 321 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 322 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 323 | C2×#67 | — | 2 | 32 | no | — |
| 324 | C2×#67 | — | 2 | 8 | no | — |
| 325 | C2×#67 | — | 2 | 8 | no | — |
| 326 | C2×#67 | — | 2 | 2 | no | — |
| 327 | C2×#67 | — | 2 | 2 | no | — |
| 328 | C2×#67 | — | 2 | 4 | no | — |
| 329 | C2×#67 | — | 2 | 2 | no | — |
| 330 | C2×#67 | — | 2 | 2 | no | — |
| 331 | C2×#67 | — | 2 | 4 | no | — |
| 332 | C2×#67 | — | 4 | 4 | no | — |
| 333 | C2×#67 | C2×D4 | 1 | 4 | yes | — |
| 334 | C2×#67 | C2×D4 | 1 | 4 | yes | — |
| 335 | C22×Dic3 | — | 2 | 1 | no | — |
| 336 | C22×Dic3 | — | 2 | 4 | no | — |
| 337 | C22×Dic3 | — | 2 | 1 | no | — |
| 338 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 339 | #239 | — | 2 | 16 | no | — |
| 340 | #239 | — | 2 | 8 | no | — |
| 341 | #239 | — | 2 | 8 | no | — |
| 342 | D3×Q8 | — | 2 | 16 | no | — |
| 343 | D3×Q8 | — | 2 | 8 | no | — |
| 344 | D3×Q8 | — | 2 | 8 | no | — |
| 345 | #237 | — | 2 | 32 | no | — |
| 346 | #237 | — | 2 | 32 | no | — |
| 347 | #237 | — | 2 | 16 | no | — |
| 348 | #237 | — | 2 | 8 | no | — |
| 349 | #237 | — | 2 | 8 | no | — |
| 350 | D3×D4 | — | 2 | 32 | no | — |
| 351 | D3×D4 | — | 2 | 32 | no | — |
| 352 | D3×D4 | — | 2 | 16 | no | — |
| 353 | D3×D4 | — | 2 | 8 | no | — |
| 354 | D3×D4 | — | 2 | 8 | no | — |
| 355 | #235 | — | 2 | 32 | no | — |
| 356 | #235 | — | 2 | 32 | no | — |
| 357 | #235 | — | 2 | 16 | no | — |
| 358 | #235 | — | 2 | 16 | no | — |
| 359 | #235 | — | 2 | 8 | no | — |
| 360 | #235 | — | 2 | 8 | no | — |
| 361 | #235 | — | 2 | 8 | no | — |
| 362 | #235 | — | 2 | 8 | no | — |
| 363 | #235 | — | 2 | 4 | no | — |
| 364 | #235 | — | 2 | 4 | no | — |
| 365 | #235 | — | 2 | 4 | no | — |
| 366 | #235 | — | 2 | 4 | no | — |
| 367 | #235 | — | 2 | 4 | no | — |
| 368 | #235 | — | 2 | 4 | no | — |
| 369 | #235 | — | 2 | 4 | no | — |
| 370 | #235 | — | 2 | 4 | no | — |
| 371 | #235 | — | 2 | 4 | no | — |
| 372 | #235 | — | 2 | 4 | no | — |
| 373 | #235 | — | 4 | 4 | no | — |
| 374 | #235 | — | 4 | 4 | no | — |
| 375 | #235 | C2×D4 | 1 | 8 | yes | — |
| 376 | #235 | C2×D4 | 1 | 8 | yes | — |
| 377 | C2×D12 | — | 2 | 16 | no | — |
| 378 | C2×D12 | — | 2 | 4 | no | — |
| 379 | C2×D12 | — | 2 | 4 | no | — |
| 380 | C2×D12 | — | 2 | 1 | no | — |
| 381 | C2×D12 | — | 2 | 2 | no | — |
| 382 | C2×D12 | — | 2 | 2 | no | — |
| 383 | C2×D12 | — | 2 | 2 | no | — |
| 384 | C2×D12 | — | 2 | 1 | no | — |
| 385 | C2×D12 | — | 2 | 8 | no | — |
| 386 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 387 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 388 | C2×D12 | C2×D4 | 1 | 4 | yes | — |
| 389 | C2×D12 | C24 | 1 | 2 | yes | — |
| 390 | C2×D12 | C24 | 1 | 2 | yes | — |
| 391 | C2×C4×D3 | — | 2 | 32 | no | — |
| 392 | C2×C4×D3 | — | 2 | 4 | no | — |
| 393 | C2×C4×D3 | — | 2 | 8 | no | — |
| 394 | C2×C4×D3 | — | 2 | 2 | no | — |
| 395 | C2×C4×D3 | — | 2 | 2 | no | — |
| 396 | C2×C4×D3 | — | 2 | 4 | no | — |
| 397 | C2×C4×D3 | — | 2 | 4 | no | — |
| 398 | C2×C4×D3 | — | 2 | 4 | no | — |
| 399 | C2×C4×D3 | — | 2 | 2 | no | — |
| 400 | C2×C4×D3 | — | 2 | 2 | no | — |
| 401 | C2×C4×D3 | — | 4 | 4 | no | — |
| 402 | C2×C4×D3 | C2×D4 | 1 | 4 | yes | — |
| 403 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 404 | C2×Dic6 | — | 2 | 16 | no | — |
| 405 | C2×Dic6 | — | 2 | 4 | no | — |
| 406 | C2×Dic6 | — | 2 | 1 | no | — |
| 407 | C2×Dic6 | — | 2 | 2 | no | — |
| 408 | C2×Dic6 | — | 2 | 4 | no | — |
| 409 | C2×Dic6 | — | 2 | 2 | no | — |
| 410 | C2×Dic6 | — | 2 | 2 | no | — |
| 411 | C2×Dic6 | — | 2 | 1 | no | — |
| 412 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 413 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 414 | C2×Dic6 | C2×D4 | 1 | 4 | yes | — |
| 415 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 416 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 417 | C2×C3×C8 | — | 2 | 2 | no | — |
| 418 | C2×C3×C8 | — | 2 | 2 | no | — |
| 419 | C2×C3×C8 | — | 2 | 4 | no | — |
| 420 | C2×C3×C8 | — | 2 | 4 | no | — |
| 421 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 422 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 423 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 424 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 425 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 426 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 427 | C3×C42 | — | 2 | 2 | no | — |
| 428 | C3×C42 | — | 2 | 2 | no | — |
| 429 | #216 | — | 2 | 8 | no | — |
| 430 | #215 | — | 2 | 8 | no | — |
| 431 | #214 | — | 2 | 8 | no | — |
| 432 | #213 | — | 2 | 8 | no | — |
| 433 | (C2×D3)⋊C4 | — | 2 | 8 | no | — |
| 434 | (C2×D3)⋊C4 | — | 2 | 8 | no | — |
| 435 | C4⋊Dic3 | — | 2 | 8 | no | — |
| 436 | #208 | — | 2 | 4 | no | — |
| 437 | #208 | — | 2 | 4 | no | — |
| 438 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 439 | C2×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 440 | Dic12 | — | 2 | 8 | no | — |
| 441 | D24 | — | 2 | 8 | no | — |
| 442 | #204 | — | 2 | 8 | no | — |
| 443 | #204 | — | 2 | 8 | no | — |
| 444 | 2−1+4 | — | 6 | 8 | no | — |
| 445 | 2−1+4 | — | 6 | 8 | no | — |
| 446 | 2−1+4 | — | 6 | 16 | no | — |
| 447 | 2−1+4 | — | 6 | 8 | no | — |
| 448 | 2−1+4 | — | 6 | 8 | no | — |
| 449 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 450 | H(5,𝔽2) | — | 6 | 32 | no | — |
| 451 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 452 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 453 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 454 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 455 | C2×#41 | — | 2 | 1 | no | — |
| 456 | C2×#41 | — | 2 | 1 | no | — |
| 457 | C2×#41 | — | 2 | 4 | no | — |
| 458 | C2×#41 | — | 3 | 2 | no | — |
| 459 | C2×#41 | — | 3 | 2 | no | — |
| 460 | C2×#41 | — | 3 | 2 | no | — |
| 461 | C2×#41 | — | 3 | 2 | no | — |
| 462 | C2×#41 | — | 3 | 4 | no | — |
| 463 | C2×#41 | — | 3 | 4 | no | — |
| 464 | C2×#41 | — | 3 | 8 | no | — |
| 465 | C2×#41 | — | 3 | 2 | no | — |
| 466 | C2×#41 | — | 3 | 2 | no | — |
| 467 | C2×#41 | — | 3 | 2 | no | — |
| 468 | C2×#41 | — | 3 | 2 | no | — |
| 469 | C2×#41 | — | 6 | 4 | no | — |
| 470 | C2×#41 | — | 6 | 4 | no | — |
| 471 | C2×#41 | — | 6 | 2 | no | — |
| 472 | C2×#41 | — | 6 | 2 | no | — |
| 473 | C2×#41 | — | 6 | 32 | no | — |
| 474 | C2×#41 | — | 6 | 4 | no | — |
| 475 | C2×#41 | — | 6 | 4 | no | — |
| 476 | C2×#41 | — | 6 | 2 | no | — |
| 477 | C2×#41 | — | 6 | 2 | no | — |
| 478 | C2×#41 | — | 6 | 16 | no | — |
| 479 | C2×#41 | — | 6 | 32 | no | — |
| 480 | C2×#41 | — | 6 | 16 | no | — |
| 481 | C2×#41 | — | 6 | 4 | no | — |
| 482 | C2×#41 | — | 6 | 4 | no | — |
| 483 | C2×#41 | — | 6 | 1 | no | — |
| 484 | C2×#41 | — | 6 | 1 | no | — |
| 485 | C2×#41 | — | 6 | 4 | no | — |
| 486 | C2×#41 | — | 6 | 1 | no | — |
| 487 | C2×#41 | — | 6 | 1 | no | — |
| 488 | C2×#41 | — | 6 | 4 | no | — |
| 489 | C2×#41 | — | 6 | 4 | no | — |
| 490 | C2×#41 | D12 | 1 | 8 | yes | complemented |
| 491 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 492 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 493 | C22×Q8 | — | 3 | 1 | no | — |
| 494 | C22×Q8 | — | 3 | 4 | no | — |
| 495 | C22×Q8 | — | 3 | 1 | no | — |
| 496 | C22×Q8 | — | 3 | 1 | no | — |
| 497 | C22×Q8 | — | 6 | 2 | no | — |
| 498 | C22×Q8 | — | 6 | 2 | no | — |
| 499 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 500 | C22×D4 | — | 2 | 1 | no | — |
| 501 | C22×D4 | — | 3 | 2 | no | — |
| 502 | C22×D4 | — | 3 | 4 | no | — |
| 503 | C22×D4 | — | 3 | 1 | no | — |
| 504 | C22×D4 | — | 3 | 1 | no | — |
| 505 | C22×D4 | — | 3 | 1 | no | — |
| 506 | C22×D4 | — | 6 | 2 | no | — |
| 507 | C22×D4 | — | 6 | 4 | no | — |
| 508 | C22×D4 | — | 6 | 2 | no | — |
| 509 | C22×D4 | — | 6 | 4 | no | — |
| 510 | C22×D4 | — | 6 | 4 | no | — |
| 511 | C22×D4 | — | 6 | 1 | no | — |
| 512 | C22×D4 | — | 6 | 1 | no | — |
| 513 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 514 | C23×C4 | — | 2 | 1 | no | — |
| 515 | C23×C4 | — | 3 | 2 | no | — |
| 516 | C23×C4 | — | 6 | 4 | no | — |
| 517 | C23×C4 | — | 6 | 1 | no | — |
| 518 | C23×C4 | — | 6 | 1 | no | — |
| 519 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 520 | #137 | — | 6 | 8 | no | — |
| 521 | #137 | — | 6 | 8 | no | — |
| 522 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 523 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 524 | #135 | — | 6 | 16 | no | — |
| 525 | #135 | — | 6 | 16 | no | — |
| 526 | #135 | — | 6 | 16 | no | — |
| 527 | C2×Q16 | — | 3 | 4 | no | — |
| 528 | C2×Q16 | — | 3 | 4 | no | — |
| 529 | C2×Q16 | — | 6 | 4 | no | — |
| 530 | C2×SD16 | — | 3 | 4 | no | — |
| 531 | C2×SD16 | — | 3 | 4 | no | — |
| 532 | C2×SD16 | — | 3 | 4 | no | — |
| 533 | C2×SD16 | — | 3 | 4 | no | — |
| 534 | C2×SD16 | — | 6 | 4 | no | — |
| 535 | C2×SD16 | — | 6 | 4 | no | — |
| 536 | C2×D8 | — | 3 | 4 | no | — |
| 537 | C2×D8 | — | 3 | 4 | no | — |
| 538 | C2×D8 | — | 6 | 4 | no | — |
| 539 | C2×M16 | — | 3 | 2 | no | — |
| 540 | C2×M16 | — | 3 | 2 | no | — |
| 541 | C2×M16 | — | 6 | 4 | no | — |
| 542 | C22×C8 | — | 2 | 4 | no | — |
| 543 | C22×C8 | — | 3 | 2 | no | — |
| 544 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 545 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 546 | C22×C8 | C22×D3 | 1 | 2 | yes | — |
| 547 | C22×C8 | C22×D3 | 1 | 2 | yes | — |
| 548 | C4⋊Q8 | — | 6 | 2 | no | — |
| 549 | #127 | — | 6 | 2 | no | — |
| 550 | #124 | — | 6 | 2 | no | — |
| 551 | #124 | — | 6 | 2 | no | — |
| 552 | #123 | — | 6 | 4 | no | — |
| 553 | #123 | — | 6 | 4 | no | — |
| 554 | C22⋊Q8 | — | 3 | 8 | no | — |
| 555 | C22⋊Q8 | — | 6 | 4 | no | — |
| 556 | #121 | — | 3 | 8 | no | — |
| 557 | #121 | — | 6 | 4 | no | — |
| 558 | #121 | — | 6 | 8 | no | — |
| 559 | #120 | — | 6 | 4 | no | — |
| 560 | #120 | — | 6 | 4 | no | — |
| 561 | C4×D4 | — | 6 | 8 | no | — |
| 562 | #117 | — | 2 | 1 | no | — |
| 563 | #117 | — | 2 | 1 | no | — |
| 564 | #117 | C22×D3 | 1 | 2 | yes | — |
| 565 | #117 | C22×D3 | 1 | 2 | yes | — |
| 566 | C2×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 567 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 568 | C2×C42 | — | 2 | 1 | no | — |
| 569 | #103 | — | 3 | 8 | no | — |
| 570 | #103 | C22×D3 | 1 | 4 | yes | — |
| 571 | #103 | C22×D3 | 1 | 4 | yes | — |
| 572 | #102 | — | 3 | 8 | no | — |
| 573 | #102 | C22×D3 | 1 | 4 | yes | — |
| 574 | #102 | C22×D3 | 1 | 4 | yes | — |
| 575 | C22⋊C8 | — | 3 | 8 | no | — |
| 576 | C22⋊C8 | — | 3 | 8 | no | — |
| 577 | C23×C3 | — | 2 | 2 | no | — |
| 578 | C23×C3 | — | 2 | 4 | no | — |
| 579 | C23×C3 | — | 4 | 2 | no | — |
| 580 | C23×C3 | — | 8 | 2 | no | — |
| 581 | C23×C3 | #120 | 1 | 4 | yes | — |
| 582 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 583 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 584 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 585 | C22×D3 | — | 2 | 2 | no | — |
| 586 | C22×D3 | — | 2 | 16 | no | — |
| 587 | C22×D3 | — | 2 | 4 | no | — |
| 588 | C22×D3 | — | 2 | 4 | no | — |
| 589 | C22×D3 | — | 2 | 2 | no | — |
| 590 | C22×D3 | — | 4 | 4 | no | — |
| 591 | C22×D3 | — | 4 | 2 | no | — |
| 592 | C22×D3 | — | 8 | 8 | no | — |
| 593 | C22×D3 | — | 8 | 2 | no | — |
| 594 | C22×D3 | — | 8 | 2 | no | — |
| 595 | C22×D3 | C22×D4 | 1 | 4 | yes | — |
| 596 | C3×Q8 | — | 2 | 4 | no | — |
| 597 | C3×Q8 | — | 2 | 2 | no | — |
| 598 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 599 | C3×D4 | — | 2 | 8 | no | — |
| 600 | C3×D4 | — | 2 | 8 | no | — |
| 601 | C3×D4 | — | 2 | 4 | no | — |
| 602 | C3×D4 | — | 2 | 2 | no | — |
| 603 | C3×D4 | C22×D4 | 1 | 4 | yes | — |
| 604 | C2×C3×C4 | — | 2 | 4 | no | — |
| 605 | C2×C3×C4 | — | 2 | 2 | no | — |
| 606 | C2×C3×C4 | — | 2 | 8 | no | — |
| 607 | C2×C3×C4 | — | 2 | 8 | no | — |
| 608 | C2×C3×C4 | — | 2 | 4 | no | — |
| 609 | C2×C3×C4 | — | 8 | 2 | no | — |
| 610 | C2×C3×C4 | #120 | 1 | 4 | yes | — |
| 611 | C2×C3×C4 | #120 | 1 | 4 | yes | — |
| 612 | C2×C3×C4 | #120 | 1 | 4 | yes | — |
| 613 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 614 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 615 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 616 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 617 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 618 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 619 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 620 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 621 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 622 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 623 | #67 | — | 2 | 16 | no | — |
| 624 | #67 | — | 2 | 16 | no | — |
| 625 | #67 | — | 2 | 8 | no | — |
| 626 | #67 | — | 2 | 8 | no | — |
| 627 | #67 | — | 2 | 8 | no | — |
| 628 | #67 | — | 2 | 8 | no | — |
| 629 | #67 | — | 4 | 4 | no | — |
| 630 | #67 | — | 4 | 4 | no | — |
| 631 | C2×Dic3 | — | 2 | 16 | no | — |
| 632 | C2×Dic3 | — | 2 | 4 | no | — |
| 633 | C2×Dic3 | — | 2 | 4 | no | — |
| 634 | C2×Dic3 | — | 2 | 2 | no | — |
| 635 | C2×Dic3 | — | 2 | 2 | no | — |
| 636 | C2×Dic3 | — | 4 | 2 | no | — |
| 637 | C2×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 638 | D12 | — | 2 | 16 | no | — |
| 639 | D12 | — | 2 | 4 | no | — |
| 640 | D12 | — | 2 | 4 | no | — |
| 641 | D12 | — | 2 | 4 | no | — |
| 642 | D12 | — | 2 | 2 | no | — |
| 643 | D12 | — | 2 | 2 | no | — |
| 644 | D12 | — | 2 | 2 | no | — |
| 645 | D12 | — | 4 | 2 | no | — |
| 646 | D12 | — | 8 | 8 | no | — |
| 647 | D12 | C22×D4 | 1 | 4 | yes | — |
| 648 | C4×D3 | — | 2 | 16 | no | — |
| 649 | C4×D3 | — | 2 | 16 | no | — |
| 650 | C4×D3 | — | 2 | 8 | no | — |
| 651 | C4×D3 | — | 2 | 8 | no | — |
| 652 | C4×D3 | — | 2 | 8 | no | — |
| 653 | C4×D3 | — | 2 | 4 | no | — |
| 654 | C4×D3 | — | 2 | 4 | no | — |
| 655 | C4×D3 | — | 4 | 4 | no | — |
| 656 | C4×D3 | — | 4 | 4 | no | — |
| 657 | Dic6 | — | 2 | 16 | no | — |
| 658 | Dic6 | — | 2 | 4 | no | — |
| 659 | Dic6 | — | 2 | 4 | no | — |
| 660 | Dic6 | — | 2 | 4 | no | — |
| 661 | Dic6 | — | 2 | 2 | no | — |
| 662 | Dic6 | — | 2 | 2 | no | — |
| 663 | Dic6 | — | 2 | 2 | no | — |
| 664 | Dic6 | — | 4 | 2 | no | — |
| 665 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 666 | C3×C8 | — | 2 | 2 | no | — |
| 667 | C3×C8 | — | 2 | 2 | no | — |
| 668 | C3⋊C8 | — | 2 | 4 | no | — |
| 669 | C24 | — | 2 | 1 | no | — |
| 670 | C24 | — | 3 | 2 | no | — |
| 671 | C24 | — | 6 | 4 | no | — |
| 672 | C24 | — | 6 | 1 | no | — |
| 673 | C24 | — | 6 | 1 | no | — |
| 674 | C24 | D3×D4 | 1 | 1 | yes | characteristic |
| 675 | #41 | — | 2 | 8 | no | — |
| 676 | #41 | — | 2 | 8 | no | — |
| 677 | #41 | — | 2 | 4 | no | — |
| 678 | #41 | — | 2 | 4 | no | — |
| 679 | #41 | — | 3 | 8 | no | — |
| 680 | #41 | — | 3 | 8 | no | — |
| 681 | #41 | — | 6 | 32 | no | — |
| 682 | #41 | — | 6 | 32 | no | — |
| 683 | #41 | — | 6 | 16 | no | — |
| 684 | #41 | — | 6 | 16 | no | — |
| 685 | #41 | — | 6 | 8 | no | — |
| 686 | #41 | — | 6 | 32 | no | — |
| 687 | #41 | — | 6 | 32 | no | — |
| 688 | #41 | — | 6 | 16 | no | — |
| 689 | #41 | — | 6 | 8 | no | — |
| 690 | #41 | — | 6 | 16 | no | — |
| 691 | #41 | — | 6 | 8 | no | — |
| 692 | #41 | — | 6 | 8 | no | — |
| 693 | #41 | — | 6 | 8 | no | — |
| 694 | #41 | — | 6 | 8 | no | — |
| 695 | #41 | — | 6 | 8 | no | — |
| 696 | #41 | — | 6 | 8 | no | — |
| 697 | #41 | — | 6 | 4 | no | — |
| 698 | #41 | — | 6 | 4 | no | — |
| 699 | #41 | — | 6 | 4 | no | — |
| 700 | #41 | — | 6 | 4 | no | — |
| 701 | #41 | — | 6 | 4 | no | — |
| 702 | #41 | — | 6 | 4 | no | — |
| 703 | #41 | — | 6 | 4 | no | — |
| 704 | #41 | — | 6 | 4 | no | — |
| 705 | #41 | — | 6 | 4 | no | — |
| 706 | #41 | — | 6 | 4 | no | — |
| 707 | #41 | — | 12 | 4 | no | — |
| 708 | #41 | — | 12 | 4 | no | — |
| 709 | #41 | C2×D12 | 1 | 8 | yes | — |
| 710 | #41 | C2×D12 | 1 | 8 | yes | — |
| 711 | C2×Q8 | — | 2 | 1 | no | — |
| 712 | C2×Q8 | — | 2 | 2 | no | — |
| 713 | C2×Q8 | — | 3 | 2 | no | — |
| 714 | C2×Q8 | — | 3 | 2 | no | — |
| 715 | C2×Q8 | — | 3 | 4 | no | — |
| 716 | C2×Q8 | — | 3 | 2 | no | — |
| 717 | C2×Q8 | — | 3 | 2 | no | — |
| 718 | C2×Q8 | — | 6 | 4 | no | — |
| 719 | C2×Q8 | — | 6 | 16 | no | — |
| 720 | C2×Q8 | — | 6 | 8 | no | — |
| 721 | C2×Q8 | — | 6 | 16 | no | — |
| 722 | C2×Q8 | — | 6 | 8 | no | — |
| 723 | C2×Q8 | — | 6 | 4 | no | — |
| 724 | C2×Q8 | — | 6 | 2 | no | — |
| 725 | C2×Q8 | — | 6 | 1 | no | — |
| 726 | C2×Q8 | — | 6 | 1 | no | — |
| 727 | C2×Q8 | — | 6 | 2 | no | — |
| 728 | C2×Q8 | — | 6 | 2 | no | — |
| 729 | C2×Q8 | C2×D12 | 1 | 4 | yes | — |
| 730 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 731 | C2×D4 | — | 2 | 8 | no | — |
| 732 | C2×D4 | — | 2 | 2 | no | — |
| 733 | C2×D4 | — | 2 | 2 | no | — |
| 734 | C2×D4 | — | 2 | 1 | no | — |
| 735 | C2×D4 | — | 2 | 2 | no | — |
| 736 | C2×D4 | — | 3 | 4 | no | — |
| 737 | C2×D4 | — | 3 | 4 | no | — |
| 738 | C2×D4 | — | 3 | 4 | no | — |
| 739 | C2×D4 | — | 3 | 2 | no | — |
| 740 | C2×D4 | — | 3 | 2 | no | — |
| 741 | C2×D4 | — | 3 | 2 | no | — |
| 742 | C2×D4 | — | 3 | 2 | no | — |
| 743 | C2×D4 | — | 6 | 4 | no | — |
| 744 | C2×D4 | — | 6 | 16 | no | — |
| 745 | C2×D4 | — | 6 | 8 | no | — |
| 746 | C2×D4 | — | 6 | 4 | no | — |
| 747 | C2×D4 | — | 6 | 8 | no | — |
| 748 | C2×D4 | — | 6 | 32 | no | — |
| 749 | C2×D4 | — | 6 | 32 | no | — |
| 750 | C2×D4 | — | 6 | 16 | no | — |
| 751 | C2×D4 | — | 6 | 4 | no | — |
| 752 | C2×D4 | — | 6 | 32 | no | — |
| 753 | C2×D4 | — | 6 | 8 | no | — |
| 754 | C2×D4 | — | 6 | 8 | no | — |
| 755 | C2×D4 | — | 6 | 2 | no | — |
| 756 | C2×D4 | — | 6 | 2 | no | — |
| 757 | C2×D4 | — | 6 | 8 | no | — |
| 758 | C2×D4 | — | 6 | 2 | no | — |
| 759 | C2×D4 | — | 6 | 2 | no | — |
| 760 | C2×D4 | — | 6 | 4 | no | — |
| 761 | C2×D4 | — | 6 | 2 | no | — |
| 762 | C2×D4 | — | 6 | 2 | no | — |
| 763 | C2×D4 | — | 6 | 1 | no | — |
| 764 | C2×D4 | — | 6 | 2 | no | — |
| 765 | C2×D4 | — | 6 | 1 | no | — |
| 766 | C2×D4 | — | 12 | 4 | no | — |
| 767 | C2×D4 | C2×D12 | 1 | 4 | yes | — |
| 768 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 769 | C22×C4 | — | 2 | 1 | no | — |
| 770 | C22×C4 | — | 2 | 8 | no | — |
| 771 | C22×C4 | — | 2 | 2 | no | — |
| 772 | C22×C4 | — | 2 | 2 | no | — |
| 773 | C22×C4 | — | 2 | 2 | no | — |
| 774 | C22×C4 | — | 3 | 2 | no | — |
| 775 | C22×C4 | — | 3 | 4 | no | — |
| 776 | C22×C4 | — | 3 | 4 | no | — |
| 777 | C22×C4 | — | 6 | 4 | no | — |
| 778 | C22×C4 | — | 6 | 4 | no | — |
| 779 | C22×C4 | — | 6 | 32 | no | — |
| 780 | C22×C4 | — | 6 | 4 | no | — |
| 781 | C22×C4 | — | 6 | 1 | no | — |
| 782 | C22×C4 | — | 6 | 8 | no | — |
| 783 | C22×C4 | — | 6 | 4 | no | — |
| 784 | C22×C4 | — | 6 | 4 | no | — |
| 785 | C22×C4 | — | 6 | 2 | no | — |
| 786 | C22×C4 | — | 6 | 2 | no | — |
| 787 | C22×C4 | — | 6 | 1 | no | — |
| 788 | C22×C4 | — | 6 | 2 | no | — |
| 789 | C22×C4 | — | 6 | 2 | no | — |
| 790 | C22×C4 | — | 12 | 4 | no | — |
| 791 | C22×C4 | C2×D12 | 1 | 4 | yes | — |
| 792 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 793 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 794 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 795 | C22×C4 | D3×D4 | 1 | 4 | yes | — |
| 796 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 797 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 798 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 799 | Q16 | — | 6 | 8 | no | — |
| 800 | Q16 | — | 6 | 8 | no | — |
| 801 | SD16 | — | 6 | 8 | no | — |
| 802 | SD16 | — | 6 | 8 | no | — |
| 803 | SD16 | — | 6 | 8 | no | — |
| 804 | SD16 | — | 6 | 8 | no | — |
| 805 | D8 | — | 6 | 8 | no | — |
| 806 | D8 | — | 6 | 8 | no | — |
| 807 | M16 | — | 6 | 4 | no | — |
| 808 | M16 | — | 6 | 4 | no | — |
| 809 | C2×C8 | — | 2 | 2 | no | — |
| 810 | C2×C8 | — | 2 | 2 | no | — |
| 811 | C2×C8 | — | 2 | 4 | no | — |
| 812 | C2×C8 | — | 2 | 4 | no | — |
| 813 | C2×C8 | — | 3 | 4 | no | — |
| 814 | C2×C8 | — | 6 | 4 | no | — |
| 815 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 816 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 817 | C4⋊C4 | — | 2 | 2 | no | — |
| 818 | C4⋊C4 | — | 6 | 8 | no | — |
| 819 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 820 | C22⋊C4 | — | 2 | 2 | no | — |
| 821 | C22⋊C4 | — | 2 | 2 | no | — |
| 822 | C22⋊C4 | — | 6 | 8 | no | — |
| 823 | C22⋊C4 | — | 6 | 8 | no | — |
| 824 | C42 | — | 2 | 2 | no | — |
| 825 | C42 | — | 2 | 2 | no | — |
| 826 | C22×C3 | — | 2 | 2 | no | — |
| 827 | C22×C3 | — | 2 | 2 | no | — |
| 828 | C22×C3 | — | 2 | 2 | no | — |
| 829 | C22×C3 | — | 2 | 4 | no | — |
| 830 | C22×C3 | — | 4 | 4 | no | — |
| 831 | C22×C3 | — | 4 | 4 | no | — |
| 832 | C22×C3 | — | 8 | 4 | no | — |
| 833 | C22×C3 | C2×#120 | 1 | 2 | yes | — |
| 834 | C22×C3 | C2×#120 | 1 | 2 | yes | — |
| 835 | C22×C3 | C2×#120 | 1 | 2 | yes | — |
| 836 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 837 | C2×D3 | — | 2 | 8 | no | — |
| 838 | C2×D3 | — | 2 | 4 | no | — |
| 839 | C2×D3 | — | 2 | 4 | no | — |
| 840 | C2×D3 | — | 4 | 4 | no | — |
| 841 | C2×D3 | — | 4 | 4 | no | — |
| 842 | C2×D3 | — | 4 | 2 | no | — |
| 843 | C2×D3 | — | 8 | 4 | no | — |
| 844 | C2×D3 | — | 8 | 4 | no | — |
| 845 | C2×D3 | — | 8 | 16 | no | — |
| 846 | C2×D3 | — | 8 | 4 | no | — |
| 847 | C3×C4 | — | 2 | 4 | no | — |
| 848 | C3×C4 | — | 4 | 4 | no | — |
| 849 | C3×C4 | C2×#120 | 1 | 2 | yes | — |
| 850 | C3×C4 | C2×#120 | 1 | 2 | yes | — |
| 851 | C3×C4 | C2×#120 | 1 | 2 | yes | — |
| 852 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 853 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 854 | Dic3 | — | 2 | 4 | no | — |
| 855 | Dic3 | — | 2 | 4 | no | — |
| 856 | Dic3 | — | 4 | 2 | no | — |
| 857 | C23 | — | 2 | 2 | no | — |
| 858 | C23 | — | 2 | 4 | no | — |
| 859 | C23 | — | 3 | 4 | no | — |
| 860 | C23 | — | 4 | 2 | no | — |
| 861 | C23 | — | 6 | 16 | no | — |
| 862 | C23 | — | 6 | 2 | no | — |
| 863 | C23 | — | 6 | 4 | no | — |
| 864 | C23 | — | 6 | 4 | no | — |
| 865 | C23 | — | 6 | 2 | no | — |
| 866 | C23 | — | 8 | 2 | no | — |
| 867 | C23 | — | 12 | 4 | no | — |
| 868 | C23 | — | 12 | 2 | no | — |
| 869 | C23 | — | 24 | 2 | no | — |
| 870 | C23 | — | 24 | 2 | no | — |
| 871 | C23 | — | 24 | 8 | no | — |
| 872 | C23 | #882 | 1 | 4 | yes | — |
| 873 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 874 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 875 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 876 | Q8 | — | 2 | 2 | no | — |
| 877 | Q8 | — | 2 | 4 | no | — |
| 878 | Q8 | — | 3 | 4 | no | — |
| 879 | Q8 | — | 6 | 16 | no | — |
| 880 | Q8 | — | 6 | 2 | no | — |
| 881 | Q8 | — | 6 | 4 | no | — |
| 882 | Q8 | — | 6 | 4 | no | — |
| 883 | Q8 | — | 6 | 4 | no | — |
| 884 | Q8 | — | 6 | 2 | no | — |
| 885 | Q8 | — | 6 | 2 | no | — |
| 886 | Q8 | — | 12 | 2 | no | — |
| 887 | Q8 | C22×D12 | 1 | 4 | yes | — |
| 888 | D4 | — | 2 | 8 | no | — |
| 889 | D4 | — | 2 | 8 | no | — |
| 890 | D4 | — | 2 | 2 | no | — |
| 891 | D4 | — | 2 | 4 | no | — |
| 892 | D4 | — | 3 | 4 | no | — |
| 893 | D4 | — | 6 | 16 | no | — |
| 894 | D4 | — | 6 | 16 | no | — |
| 895 | D4 | — | 6 | 16 | no | — |
| 896 | D4 | — | 6 | 8 | no | — |
| 897 | D4 | — | 6 | 8 | no | — |
| 898 | D4 | — | 6 | 8 | no | — |
| 899 | D4 | — | 6 | 8 | no | — |
| 900 | D4 | — | 6 | 2 | no | — |
| 901 | D4 | — | 6 | 2 | no | — |
| 902 | D4 | — | 6 | 2 | no | — |
| 903 | D4 | — | 6 | 4 | no | — |
| 904 | D4 | — | 6 | 4 | no | — |
| 905 | D4 | — | 6 | 4 | no | — |
| 906 | D4 | — | 12 | 4 | no | — |
| 907 | D4 | — | 12 | 4 | no | — |
| 908 | D4 | — | 12 | 2 | no | — |
| 909 | D4 | — | 24 | 8 | no | — |
| 910 | D4 | C22×D12 | 1 | 4 | yes | — |
| 911 | C2×C4 | — | 2 | 2 | no | — |
| 912 | C2×C4 | — | 2 | 4 | no | — |
| 913 | C2×C4 | — | 2 | 8 | no | — |
| 914 | C2×C4 | — | 2 | 8 | no | — |
| 915 | C2×C4 | — | 2 | 4 | no | — |
| 916 | C2×C4 | — | 3 | 4 | no | — |
| 917 | C2×C4 | — | 6 | 16 | no | — |
| 918 | C2×C4 | — | 6 | 16 | no | — |
| 919 | C2×C4 | — | 6 | 16 | no | — |
| 920 | C2×C4 | — | 6 | 2 | no | — |
| 921 | C2×C4 | — | 6 | 4 | no | — |
| 922 | C2×C4 | — | 6 | 4 | no | — |
| 923 | C2×C4 | — | 6 | 4 | no | — |
| 924 | C2×C4 | — | 6 | 4 | no | — |
| 925 | C2×C4 | — | 6 | 8 | no | — |
| 926 | C2×C4 | — | 6 | 8 | no | — |
| 927 | C2×C4 | — | 6 | 8 | no | — |
| 928 | C2×C4 | — | 6 | 2 | no | — |
| 929 | C2×C4 | — | 8 | 2 | no | — |
| 930 | C2×C4 | — | 12 | 2 | no | — |
| 931 | C2×C4 | — | 12 | 4 | no | — |
| 932 | C2×C4 | — | 12 | 4 | no | — |
| 933 | C2×C4 | #882 | 1 | 4 | yes | — |
| 934 | C2×C4 | #882 | 1 | 4 | yes | — |
| 935 | C2×C4 | #882 | 1 | 4 | yes | — |
| 936 | C2×C4 | C22×D12 | 1 | 2 | yes | — |
| 937 | C2×C4 | C22×D12 | 1 | 2 | yes | — |
| 938 | C2×C4 | C22×D12 | 1 | 2 | yes | — |
| 939 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 940 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 941 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 942 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 943 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 944 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 945 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 946 | C8 | — | 2 | 2 | no | — |
| 947 | C8 | — | 2 | 2 | no | — |
| 948 | C8 | — | 6 | 4 | no | — |
| 949 | C2×C3 | — | 2 | 2 | no | — |
| 950 | C2×C3 | — | 2 | 2 | no | — |
| 951 | C2×C3 | — | 2 | 2 | no | — |
| 952 | C2×C3 | — | 4 | 4 | no | — |
| 953 | C2×C3 | C22×#120 | 1 | 1 | yes | characteristic |
| 954 | C2×C3 | #3584 | 1 | 2 | yes | — |
| 955 | D3 | — | 4 | 4 | no | — |
| 956 | D3 | — | 4 | 4 | no | — |
| 957 | D3 | — | 8 | 2 | no | — |
| 958 | C22 | — | 2 | 2 | no | — |
| 959 | C22 | — | 2 | 2 | no | — |
| 960 | C22 | — | 2 | 2 | no | — |
| 961 | C22 | — | 2 | 4 | no | — |
| 962 | C22 | — | 4 | 4 | no | — |
| 963 | C22 | — | 4 | 4 | no | — |
| 964 | C22 | — | 6 | 8 | no | — |
| 965 | C22 | — | 6 | 4 | no | — |
| 966 | C22 | — | 6 | 4 | no | — |
| 967 | C22 | — | 8 | 4 | no | — |
| 968 | C22 | — | 12 | 4 | no | — |
| 969 | C22 | — | 12 | 4 | no | — |
| 970 | C22 | — | 12 | 2 | no | — |
| 971 | C22 | — | 24 | 4 | no | — |
| 972 | C22 | — | 24 | 4 | no | — |
| 973 | C22 | — | 24 | 4 | no | — |
| 974 | C22 | — | 24 | 16 | no | — |
| 975 | C22 | C2×#882 | 1 | 2 | yes | — |
| 976 | C22 | C2×#882 | 1 | 2 | yes | — |
| 977 | C22 | C2×#882 | 1 | 2 | yes | — |
| 978 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 979 | C4 | — | 2 | 4 | no | — |
| 980 | C4 | — | 4 | 4 | no | — |
| 981 | C4 | — | 6 | 4 | no | — |
| 982 | C4 | — | 6 | 4 | no | — |
| 983 | C4 | — | 12 | 2 | no | — |
| 984 | C4 | C2×#882 | 1 | 2 | yes | — |
| 985 | C4 | C2×#882 | 1 | 2 | yes | — |
| 986 | C4 | C2×#882 | 1 | 2 | yes | — |
| 987 | C4 | C23×D12 | 1 | 1 | yes | characteristic |
| 988 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 989 | C3 | #60366 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 990 | C2 | — | 2 | 2 | no | — |
| 991 | C2 | — | 2 | 2 | no | — |
| 992 | C2 | — | 2 | 2 | no | — |
| 993 | C2 | — | 4 | 4 | no | — |
| 994 | C2 | — | 12 | 4 | no | — |
| 995 | C2 | — | 12 | 4 | no | — |
| 996 | C2 | — | 24 | 2 | no | — |
| 997 | C2 | C22×#882 | 1 | 1 | yes | characteristic |
| 998 | C2 | #87187 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#5964 | C2 | semidirect |
| 2. C2×#5822 | C2 | semidirect |
| 3. C22×#904 | C2 | semidirect |
| 4. #85735 | C2 | semidirect |
| 5. C2×C3×#416 | C2 | semidirect |
| 6. C2×#5110 | C2 | semidirect |
| 7. #82213 | C2 | semidirect |
| 8. #78837 | C2 | semidirect |
| 9. #78836 | C2 | semidirect |
| 10. #78835 | C2 | semidirect |
| 11. #78834 | C2 | semidirect |
| 12. #78833 | C2 | semidirect |
| 13. #78795 | C2 | semidirect |
| 14. #78747 | C2 | semidirect |
| 24. C2×D3×#41 | C22 | semidirect |
| 25. C2×#1007 | C22 | semidirect |
| 27. C2×#1004 | C22 | semidirect |
| 31. C22×#235 | C22 | semidirect |
| 32. C23×C3×C8 | C22 | semidirect |
| 33. C2×C3×#117 | C22 | semidirect |
| 34. C2×#951 | C22 | semidirect |
| 36. C2×#950 | C22 | semidirect |
| 37. C2×#949 | C22 | semidirect |
| 38. C2×#942 | C22 | semidirect |
| 39. C2×#932 | C22 | semidirect |
| 40. C22×#208 | C22 | semidirect |
| 41. C22×Dic12 | C22 | semidirect |
| 43. C2×#904 | C22 | semidirect |
| 44. C2×#904 | C22 | semidirect |
| 45. C22×D24 | C22 | semidirect |
| 46. C22×#204 | C22 | semidirect |
| 47. C22×#204 | C22 | semidirect |
| 49. #5526 | C22 | semidirect |
| 51. #5525 | C22 | semidirect |
| 53. #5524 | C22 | semidirect |
| 54. #5510 | C22 | semidirect |
| 57. C3×#416 | C22 | semidirect |
| 58. C3×#416 | C22 | semidirect |
| 59. C3×#416 | C22 | semidirect |
| 60. C2×C3×#103 | C22 | semidirect |
| 61. C2×C3×#102 | C22 | semidirect |
| 62. #5110 | C22 | semidirect |
| 63. #5110 | C22 | semidirect |
| 64. #5110 | C22 | semidirect |
| 65. C2×(C2×D3)⋊C8 | C22 | semidirect |
| 66. #5004 | C22 | semidirect |
| 67. #5002 | C22 | semidirect |
| 68. #5001 | C22 | semidirect |
| 69. #4966 | C22 | semidirect |
| 70. #4810 | C22 | semidirect |
| 71. #4809 | C22 | semidirect |
| 72. #4808 | C22 | semidirect |
| 73. #4806 | C22 | semidirect |
| 74. #4783 | C22 | semidirect |
| 75. #4781 | C22 | semidirect |
| 76. #4776 | C22 | semidirect |
| 77. #4773 | C22 | semidirect |
| 90. C2×#416 | D3 | semidirect |
| 95. C2×C3×#41 | D4 | semidirect |
| 149. C2×#235 | D4 | semidirect |
| 255. C23×C8 | C2×D3 | semidirect |
| 265. C2×#117 | C2×D3 | semidirect |
| 278. #416 | C2×D3 | semidirect |
| 279. #416 | C2×D3 | semidirect |
| 280. #416 | C2×D3 | semidirect |
| 281. C2×#103 | C2×D3 | semidirect |
| 282. C2×#102 | C2×D3 | semidirect |
| 490. C2×#41 | D12 | semidirect |
| 989. C3 | #60366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#5964 | 2 |
| C2×#5822 | 2 |
| C22×#904 | 2 |
| #85735 | 2 |
| C2×C3×#416 | 2 |
| C2×#5110 | 2 |
| #82213 | 2 |
| #78837 | 2 |
| #78836 | 2 |
| #78835 | 2 |
| #78834 | 2 |
| #78833 | 2 |
| #78795 | 2 |
| #78747 | 2 |
| #60366 | 3 |