Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
4782 conjugacy classes of subgroups.
The subgroup lattice has 890 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×D3×2−1+4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5837 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#5751 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #85900 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#2898 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83793 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #82570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #78960 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #78958 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #78887 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #78884 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #78836 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #78833 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #78795 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×#4806 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | #60374 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×C3×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 18 | D3×2−1+4 | — | 2 | 8 | no | — |
| 19 | D3×2−1+4 | — | 2 | 8 | no | — |
| 20 | C2×#1010 | — | 2 | 3 | no | — |
| 21 | C2×#1010 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#1010 | C22 | 1 | 3 | yes | complemented |
| 23 | C2×#1009 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×D3×#41 | — | 2 | 3 | no | — |
| 25 | C2×D3×#41 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×D3×#41 | C22 | 1 | 3 | yes | complemented |
| 27 | C2×#1007 | — | 2 | 1 | no | — |
| 28 | C2×#1007 | C22 | 1 | 3 | yes | complemented |
| 29 | C22×D3×Q8 | — | 2 | 1 | no | — |
| 30 | C22×D3×Q8 | C22 | 1 | 3 | yes | complemented |
| 31 | C2×C3×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#520 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #5837 | — | 2 | 8 | no | — |
| 34 | C2×#950 | C22 | 1 | 3 | yes | complemented |
| 35 | C2×#949 | C22 | 1 | 3 | yes | complemented |
| 36 | C2×#948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×#942 | C22 | 1 | 3 | yes | complemented |
| 38 | C22×#215 | C22 | 1 | 3 | yes | complemented |
| 39 | #5751 | — | 2 | 8 | no | — |
| 40 | C2×#909 | C22 | 1 | 3 | yes | complemented |
| 41 | C2×#908 | C22 | 1 | 3 | yes | complemented |
| 42 | C2×#904 | C22 | 1 | 3 | yes | complemented |
| 43 | C22×#204 | C22 | 1 | 3 | yes | complemented |
| 44 | #5577 | — | 2 | 1 | no | — |
| 45 | #5576 | — | 2 | 1 | no | — |
| 46 | #5554 | — | 2 | 3 | no | — |
| 47 | D4×D12 | — | 2 | 3 | no | — |
| 48 | #5525 | C22 | 1 | 3 | yes | complemented |
| 49 | #5524 | C22 | 1 | 3 | yes | — |
| 50 | #5510 | C22 | 1 | 3 | yes | complemented |
| 51 | C2×#895 | C22 | 1 | 3 | yes | — |
| 52 | C3×#419 | C22 | 1 | 3 | yes | complemented |
| 53 | C3×#417 | C22 | 1 | 3 | yes | complemented |
| 54 | C3×#416 | C22 | 1 | 3 | yes | complemented |
| 55 | C2×C3×#103 | C22 | 1 | 3 | yes | complemented |
| 56 | #5129 | C22 | 1 | 3 | yes | complemented |
| 57 | #5126 | C22 | 1 | 3 | yes | complemented |
| 58 | #5110 | C22 | 1 | 3 | yes | complemented |
| 59 | C2×(C2×D3)⋊C8 | C22 | 1 | 3 | yes | complemented |
| 60 | #5004 | C22 | 1 | 3 | yes | complemented |
| 61 | #5002 | C22 | 1 | 3 | yes | complemented |
| 62 | C2×#810 | C22 | 1 | 3 | yes | complemented |
| 63 | #4966 | C22 | 1 | 3 | yes | complemented |
| 64 | #4810 | C22 | 1 | 6 | yes | complemented |
| 65 | #4810 | C22 | 1 | 3 | yes | complemented |
| 66 | #4809 | C22 | 1 | 6 | yes | complemented |
| 67 | #4809 | C22 | 1 | 3 | yes | complemented |
| 68 | #4808 | C22 | 1 | 3 | yes | complemented |
| 69 | #4806 | C22 | 1 | 6 | yes | complemented |
| 70 | #4806 | C22 | 1 | 6 | yes | complemented |
| 71 | #4806 | C22 | 1 | 6 | yes | complemented |
| 72 | #4806 | C22 | 1 | 3 | yes | complemented |
| 73 | #4806 | C22 | 1 | 6 | yes | complemented |
| 74 | #4783 | C22 | 1 | 3 | yes | complemented |
| 75 | #4781 | C22 | 1 | 6 | yes | complemented |
| 76 | #4781 | C22 | 1 | 3 | yes | complemented |
| 77 | #4776 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | #4773 | C22 | 1 | 3 | yes | complemented |
| 79 | C22×2−1+4 | — | 3 | 1 | no | — |
| 80 | C2×#577 | — | 3 | 1 | no | — |
| 81 | C2×#577 | — | 3 | 1 | no | — |
| 82 | #3488 | — | 3 | 1 | no | — |
| 83 | #3013 | — | 3 | 3 | no | — |
| 84 | #3013 | — | 3 | 3 | no | — |
| 85 | #3010 | — | 3 | 3 | no | — |
| 86 | #3010 | — | 3 | 3 | no | — |
| 87 | #3006 | — | 3 | 3 | no | — |
| 88 | #3004 | — | 3 | 3 | no | — |
| 89 | #3002 | — | 3 | 3 | no | — |
| 90 | C2×#448 | — | 3 | 3 | no | — |
| 91 | #2898 | — | 3 | 1 | no | — |
| 92 | #2898 | D3 | 1 | 1 | yes | characteristic, complemented |
| 93 | #2880 | — | 3 | 1 | no | — |
| 94 | C3×2−1+4 | — | 2 | 4 | no | — |
| 95 | C3×2−1+4 | D4 | 1 | 8 | yes | complemented |
| 96 | C2×C3×#41 | — | 2 | 3 | no | — |
| 97 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 98 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 99 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 100 | C22×C3×Q8 | C23 | 1 | 3 | yes | — |
| 101 | #1010 | — | 2 | 48 | no | — |
| 102 | #1010 | — | 2 | 4 | no | — |
| 103 | #1010 | — | 2 | 12 | no | — |
| 104 | #1010 | — | 2 | 12 | no | — |
| 105 | #1010 | D4 | 1 | 8 | yes | complemented |
| 106 | #1009 | — | 2 | 4 | no | — |
| 107 | #1009 | — | 2 | 4 | no | — |
| 108 | D3×#41 | — | 2 | 48 | no | — |
| 109 | D3×#41 | — | 2 | 4 | no | — |
| 110 | D3×#41 | — | 2 | 4 | no | — |
| 111 | D3×#41 | — | 2 | 12 | no | — |
| 112 | D3×#41 | — | 2 | 12 | no | — |
| 113 | #1007 | — | 2 | 16 | no | — |
| 114 | #1007 | — | 2 | 12 | no | — |
| 115 | #1007 | — | 2 | 12 | no | — |
| 116 | C2×#239 | — | 2 | 1 | no | — |
| 117 | C2×#239 | — | 2 | 3 | no | — |
| 118 | C2×#239 | D4 | 1 | 1 | yes | characteristic |
| 119 | C2×#239 | C23 | 1 | 3 | yes | — |
| 120 | C2×D3×Q8 | — | 2 | 16 | no | — |
| 121 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 122 | C2×D3×Q8 | — | 2 | 12 | no | — |
| 123 | C2×D3×Q8 | — | 2 | 3 | no | — |
| 124 | C2×D3×Q8 | — | 2 | 3 | no | — |
| 125 | C2×D3×Q8 | — | 2 | 3 | no | — |
| 126 | C2×D3×Q8 | — | 2 | 12 | no | — |
| 127 | C2×D3×Q8 | D4 | 1 | 1 | yes | characteristic |
| 128 | C2×D3×Q8 | C23 | 1 | 3 | yes | — |
| 129 | C2×D3×Q8 | C23 | 1 | 6 | yes | — |
| 130 | C2×#237 | — | 2 | 3 | no | — |
| 131 | C2×#237 | — | 2 | 6 | no | — |
| 132 | C2×#237 | — | 2 | 3 | no | — |
| 133 | C2×#237 | D4 | 1 | 3 | yes | — |
| 134 | C2×#237 | C23 | 1 | 3 | yes | — |
| 135 | C2×D3×D4 | — | 2 | 3 | no | — |
| 136 | C2×D3×D4 | — | 2 | 3 | no | — |
| 137 | C2×D3×D4 | D4 | 1 | 3 | yes | — |
| 138 | C2×D3×D4 | C23 | 1 | 1 | yes | characteristic |
| 139 | C2×#235 | — | 2 | 6 | no | — |
| 140 | C2×#235 | — | 2 | 3 | no | — |
| 141 | C2×#235 | — | 2 | 3 | no | — |
| 142 | C2×#235 | C23 | 1 | 3 | yes | — |
| 143 | C2×#235 | C23 | 1 | 3 | yes | — |
| 144 | C2×#235 | C23 | 1 | 3 | yes | — |
| 145 | C22×D12 | — | 2 | 3 | no | — |
| 146 | C22×D12 | C23 | 1 | 3 | yes | — |
| 147 | C22×C4×D3 | — | 2 | 3 | no | — |
| 148 | C22×C4×D3 | — | 2 | 3 | no | — |
| 149 | C22×C4×D3 | C23 | 1 | 3 | yes | — |
| 150 | C22×Dic6 | — | 2 | 3 | no | — |
| 151 | C22×Dic6 | — | 2 | 3 | no | — |
| 152 | C22×Dic6 | C23 | 1 | 3 | yes | — |
| 153 | C3×#131 | — | 2 | 4 | no | — |
| 154 | C2×C3×M16 | C23 | 1 | 3 | yes | — |
| 155 | C22×C3×C8 | C23 | 1 | 3 | yes | — |
| 156 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 157 | C3×C4×D4 | — | 2 | 3 | no | — |
| 158 | C3×#117 | C23 | 1 | 3 | yes | — |
| 159 | C2×C3×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 160 | #950 | — | 2 | 12 | no | — |
| 161 | #949 | — | 2 | 12 | no | — |
| 162 | #948 | — | 2 | 4 | no | — |
| 163 | C2×#216 | C23 | 1 | 3 | yes | — |
| 164 | #942 | — | 2 | 12 | no | — |
| 165 | C2×#215 | — | 2 | 12 | no | — |
| 166 | C2×#215 | C23 | 1 | 3 | yes | — |
| 167 | C2×#215 | C23 | 1 | 6 | yes | — |
| 168 | C2×#214 | C23 | 1 | 1 | yes | characteristic |
| 169 | C2×#213 | C23 | 1 | 3 | yes | — |
| 170 | #930 | — | 2 | 6 | no | — |
| 171 | C2×(C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 172 | C2×#208 | C23 | 1 | 3 | yes | — |
| 173 | C22×C3⋊C8 | C23 | 1 | 3 | yes | — |
| 174 | #909 | — | 2 | 12 | no | — |
| 175 | #908 | — | 2 | 12 | no | — |
| 176 | C2×Dic12 | C23 | 1 | 3 | yes | — |
| 177 | #904 | — | 2 | 12 | no | — |
| 178 | C2×D24 | C23 | 1 | 3 | yes | — |
| 179 | C2×#204 | — | 2 | 12 | no | — |
| 180 | C2×#204 | C23 | 1 | 3 | yes | — |
| 181 | C2×#204 | C23 | 1 | 6 | yes | — |
| 182 | C2×#204 | C23 | 1 | 1 | yes | characteristic |
| 183 | #897 | — | 2 | 3 | no | — |
| 184 | #897 | C23 | 1 | 3 | yes | — |
| 185 | #897 | C23 | 1 | 1 | yes | characteristic |
| 186 | #895 | — | 2 | 3 | no | — |
| 187 | #895 | — | 2 | 3 | no | — |
| 188 | #895 | — | 2 | 3 | no | — |
| 189 | #895 | C23 | 1 | 3 | yes | — |
| 190 | #895 | C23 | 1 | 6 | yes | — |
| 191 | #895 | C23 | 1 | 3 | yes | — |
| 192 | #886 | — | 2 | 3 | no | — |
| 193 | #882 | — | 2 | 3 | no | — |
| 194 | #882 | — | 2 | 6 | no | — |
| 195 | #875 | — | 2 | 3 | no | — |
| 196 | #874 | — | 2 | 3 | no | — |
| 197 | C4×D12 | — | 2 | 3 | no | — |
| 198 | C4×D12 | — | 2 | 3 | no | — |
| 199 | C3×#103 | C23 | 1 | 3 | yes | — |
| 200 | C3×#103 | C23 | 1 | 6 | yes | — |
| 201 | C3×#103 | C23 | 1 | 3 | yes | — |
| 202 | C3×#102 | C23 | 1 | 3 | yes | — |
| 203 | C3×#102 | C23 | 1 | 1 | yes | characteristic |
| 204 | (C2×D3)⋊C8 | C23 | 1 | 3 | yes | — |
| 205 | (C2×D3)⋊C8 | C23 | 1 | 6 | yes | — |
| 206 | (C2×D3)⋊C8 | C23 | 1 | 3 | yes | — |
| 207 | (C2×D3)⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 208 | (C2×D3)⋊C8 | C23 | 1 | 3 | yes | — |
| 209 | #810 | C23 | 1 | 6 | yes | — |
| 210 | #810 | C23 | 1 | 3 | yes | — |
| 211 | #810 | C23 | 1 | 3 | yes | — |
| 212 | #809 | C23 | 1 | 3 | yes | — |
| 213 | #809 | C23 | 1 | 1 | yes | characteristic |
| 214 | C2×2−1+4 | — | 3 | 3 | no | — |
| 215 | C2×2−1+4 | — | 3 | 1 | no | — |
| 216 | C2×2−1+4 | — | 3 | 3 | no | — |
| 217 | C2×2−1+4 | — | 6 | 1 | no | — |
| 218 | C2×2−1+4 | — | 6 | 3 | no | — |
| 219 | C2×2−1+4 | — | 6 | 8 | no | — |
| 220 | C2×2−1+4 | — | 6 | 8 | no | — |
| 221 | C2×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic |
| 222 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 223 | C22×#41 | — | 3 | 1 | no | — |
| 224 | C22×#41 | — | 3 | 3 | no | — |
| 225 | C22×#41 | — | 6 | 3 | no | — |
| 226 | C23×Q8 | — | 3 | 3 | no | — |
| 227 | C23×Q8 | — | 6 | 1 | no | — |
| 228 | #577 | — | 6 | 8 | no | — |
| 229 | #577 | — | 6 | 8 | no | — |
| 230 | C2×#137 | — | 3 | 3 | no | — |
| 231 | C2×#137 | — | 3 | 3 | no | — |
| 232 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 233 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 234 | C2×#135 | — | 3 | 3 | no | — |
| 235 | C2×#135 | — | 3 | 3 | no | — |
| 236 | C22×SD16 | — | 3 | 3 | no | — |
| 237 | C22×SD16 | — | 3 | 3 | no | — |
| 238 | C2×#131 | — | 3 | 1 | no | — |
| 239 | C2×#131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 240 | #550 | — | 6 | 1 | no | — |
| 241 | #548 | — | 6 | 1 | no | — |
| 242 | #546 | — | 6 | 3 | no | — |
| 243 | D42 | — | 6 | 3 | no | — |
| 244 | #537 | — | 3 | 3 | no | — |
| 245 | #535 | — | 3 | 3 | no | — |
| 246 | #525 | — | 3 | 3 | no | — |
| 247 | C2×#121 | — | 3 | 3 | no | — |
| 248 | #520 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 249 | #452 | — | 3 | 3 | no | — |
| 250 | #452 | — | 3 | 3 | no | — |
| 251 | #451 | — | 3 | 3 | no | — |
| 252 | #451 | — | 3 | 6 | no | — |
| 253 | #450 | — | 3 | 1 | no | — |
| 254 | #449 | — | 3 | 3 | no | — |
| 255 | #449 | — | 3 | 6 | no | — |
| 256 | #449 | — | 3 | 3 | no | — |
| 257 | #449 | — | 3 | 6 | no | — |
| 258 | #448 | — | 3 | 3 | no | — |
| 259 | #448 | — | 3 | 6 | no | — |
| 260 | #448 | — | 3 | 6 | no | — |
| 261 | #448 | — | 3 | 6 | no | — |
| 262 | #448 | — | 3 | 6 | no | — |
| 263 | #447 | — | 3 | 3 | no | — |
| 264 | #419 | — | 3 | 3 | no | — |
| 265 | #419 | C2×D3 | 1 | 3 | yes | complemented |
| 266 | #417 | — | 3 | 3 | no | — |
| 267 | #417 | C2×D3 | 1 | 3 | yes | complemented |
| 268 | #416 | — | 3 | 3 | no | — |
| 269 | #416 | C2×D3 | 1 | 3 | yes | complemented |
| 270 | C2×#103 | — | 3 | 3 | no | — |
| 271 | C2×#103 | C2×D3 | 1 | 3 | yes | complemented |
| 272 | #408 | — | 3 | 3 | no | — |
| 273 | #408 | — | 3 | 3 | no | — |
| 274 | #407 | — | 3 | 3 | no | — |
| 275 | C2×C22⋊C8 | — | 3 | 3 | no | — |
| 276 | C23×D3 | — | 2 | 1 | no | — |
| 277 | C23×D3 | — | 2 | 3 | no | — |
| 278 | C23×D3 | C2×D4 | 1 | 3 | yes | — |
| 279 | C3×#41 | — | 2 | 24 | no | — |
| 280 | C3×#41 | — | 2 | 6 | no | — |
| 281 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 282 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 283 | C3×#41 | C2×D4 | 1 | 12 | yes | complemented |
| 284 | C2×C3×Q8 | — | 2 | 8 | no | — |
| 285 | C2×C3×Q8 | — | 2 | 3 | no | — |
| 286 | C2×C3×Q8 | — | 2 | 6 | no | — |
| 287 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C3×Q8 | C2×D4 | 1 | 12 | yes | complemented |
| 289 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 290 | C2×C3×D4 | — | 2 | 3 | no | — |
| 291 | C2×C3×D4 | C2×D4 | 1 | 3 | yes | — |
| 292 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 293 | C22×C3×C4 | — | 2 | 3 | no | — |
| 294 | C22×C3×C4 | — | 2 | 3 | no | — |
| 295 | C22×C3×C4 | — | 2 | 3 | no | — |
| 296 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 297 | C2×#67 | — | 2 | 3 | no | — |
| 298 | C2×#67 | — | 2 | 3 | no | — |
| 299 | C2×#67 | — | 2 | 3 | no | — |
| 300 | C2×#67 | — | 2 | 1 | no | — |
| 301 | C2×#67 | C2×D4 | 1 | 6 | yes | — |
| 302 | C22×Dic3 | — | 2 | 3 | no | — |
| 303 | C22×Dic3 | — | 2 | 3 | no | — |
| 304 | C22×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 305 | #239 | — | 2 | 24 | no | — |
| 306 | #239 | — | 2 | 4 | no | — |
| 307 | #239 | — | 2 | 6 | no | — |
| 308 | #239 | — | 2 | 6 | no | — |
| 309 | #239 | — | 4 | 4 | no | — |
| 310 | D3×Q8 | — | 2 | 24 | no | — |
| 311 | D3×Q8 | — | 2 | 24 | no | — |
| 312 | D3×Q8 | — | 2 | 24 | no | — |
| 313 | D3×Q8 | — | 2 | 4 | no | — |
| 314 | D3×Q8 | — | 2 | 8 | no | — |
| 315 | D3×Q8 | — | 2 | 6 | no | — |
| 316 | D3×Q8 | — | 2 | 12 | no | — |
| 317 | D3×Q8 | — | 2 | 6 | no | — |
| 318 | D3×Q8 | — | 2 | 12 | no | — |
| 319 | #237 | — | 2 | 24 | no | — |
| 320 | #237 | — | 2 | 48 | no | — |
| 321 | #237 | — | 2 | 24 | no | — |
| 322 | #237 | — | 2 | 12 | no | — |
| 323 | #237 | — | 2 | 6 | no | — |
| 324 | #237 | — | 2 | 6 | no | — |
| 325 | D3×D4 | — | 2 | 24 | no | — |
| 326 | D3×D4 | — | 2 | 12 | no | — |
| 327 | D3×D4 | — | 2 | 2 | no | — |
| 328 | D3×D4 | — | 2 | 2 | no | — |
| 329 | D3×D4 | — | 4 | 12 | no | — |
| 330 | #235 | — | 2 | 48 | no | — |
| 331 | #235 | — | 2 | 24 | no | — |
| 332 | #235 | — | 2 | 24 | no | — |
| 333 | #235 | — | 2 | 6 | no | — |
| 334 | #235 | — | 2 | 6 | no | — |
| 335 | #235 | — | 2 | 6 | no | — |
| 336 | #235 | — | 2 | 6 | no | — |
| 337 | #235 | — | 2 | 6 | no | — |
| 338 | #235 | C2×D4 | 1 | 12 | yes | complemented |
| 339 | C2×D12 | — | 2 | 3 | no | — |
| 340 | C2×D12 | — | 2 | 6 | no | — |
| 341 | C2×D12 | — | 2 | 6 | no | — |
| 342 | C2×D12 | — | 2 | 3 | no | — |
| 343 | C2×D12 | — | 2 | 3 | no | — |
| 344 | C2×D12 | — | 2 | 3 | no | — |
| 345 | C2×D12 | — | 2 | 6 | no | — |
| 346 | C2×D12 | — | 8 | 6 | no | — |
| 347 | C2×D12 | C2×D4 | 1 | 3 | yes | — |
| 348 | C2×D12 | C24 | 1 | 3 | yes | — |
| 349 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 350 | C2×C4×D3 | — | 2 | 24 | no | — |
| 351 | C2×C4×D3 | — | 2 | 24 | no | — |
| 352 | C2×C4×D3 | — | 2 | 3 | no | — |
| 353 | C2×C4×D3 | — | 2 | 6 | no | — |
| 354 | C2×C4×D3 | — | 2 | 3 | no | — |
| 355 | C2×C4×D3 | — | 2 | 6 | no | — |
| 356 | C2×C4×D3 | — | 2 | 6 | no | — |
| 357 | C2×C4×D3 | — | 2 | 3 | no | — |
| 358 | C2×C4×D3 | — | 2 | 3 | no | — |
| 359 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 360 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 361 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 362 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 363 | C2×Dic6 | — | 2 | 24 | no | — |
| 364 | C2×Dic6 | — | 2 | 24 | no | — |
| 365 | C2×Dic6 | — | 2 | 3 | no | — |
| 366 | C2×Dic6 | — | 2 | 6 | no | — |
| 367 | C2×Dic6 | — | 2 | 3 | no | — |
| 368 | C2×Dic6 | — | 2 | 6 | no | — |
| 369 | C2×Dic6 | C2×D4 | 1 | 3 | yes | — |
| 370 | C2×Dic6 | C2×D4 | 1 | 12 | yes | complemented |
| 371 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 372 | C2×Dic6 | C24 | 1 | 3 | yes | — |
| 373 | C3×M16 | — | 2 | 6 | no | — |
| 374 | C2×C3×C8 | — | 2 | 6 | no | — |
| 375 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 376 | C2×C3×C8 | C24 | 1 | 3 | yes | — |
| 377 | C3×C4⋊C4 | — | 2 | 3 | no | — |
| 378 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 379 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 380 | C3×C22⋊C4 | — | 2 | 3 | no | — |
| 381 | C3×C42 | — | 2 | 3 | no | — |
| 382 | #216 | — | 2 | 6 | no | — |
| 383 | #215 | — | 2 | 6 | no | — |
| 384 | #215 | — | 2 | 12 | no | — |
| 385 | #214 | — | 2 | 2 | no | — |
| 386 | #213 | — | 2 | 6 | no | — |
| 387 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 388 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 389 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 390 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 391 | (C2×D3)⋊C4 | — | 2 | 6 | no | — |
| 392 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 393 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 394 | #208 | — | 2 | 6 | no | — |
| 395 | C2×C3⋊C8 | — | 2 | 6 | no | — |
| 396 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 397 | C2×C3⋊C8 | C24 | 1 | 3 | yes | — |
| 398 | Dic12 | — | 2 | 6 | no | — |
| 399 | D24 | — | 2 | 6 | no | — |
| 400 | #204 | — | 2 | 2 | no | — |
| 401 | #204 | — | 2 | 6 | no | — |
| 402 | #204 | — | 2 | 12 | no | — |
| 403 | 2−1+4 | — | 2 | 4 | no | — |
| 404 | 2−1+4 | — | 3 | 8 | no | — |
| 405 | 2−1+4 | — | 6 | 12 | no | — |
| 406 | 2−1+4 | — | 6 | 16 | no | — |
| 407 | 2−1+4 | — | 6 | 12 | no | — |
| 408 | 2−1+4 | — | 6 | 48 | no | — |
| 409 | 2−1+4 | — | 6 | 4 | no | — |
| 410 | 2−1+4 | — | 6 | 12 | no | — |
| 411 | 2−1+4 | — | 6 | 12 | no | — |
| 412 | 2−1+4 | D12 | 1 | 8 | yes | complemented |
| 413 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 414 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 415 | C2×#41 | — | 2 | 3 | no | — |
| 416 | C2×#41 | — | 3 | 1 | no | — |
| 417 | C2×#41 | — | 3 | 3 | no | — |
| 418 | C2×#41 | — | 3 | 3 | no | — |
| 419 | C2×#41 | — | 3 | 3 | no | — |
| 420 | C2×#41 | — | 3 | 3 | no | — |
| 421 | C2×#41 | — | 3 | 3 | no | — |
| 422 | C2×#41 | — | 3 | 3 | no | — |
| 423 | C2×#41 | — | 6 | 3 | no | — |
| 424 | C2×#41 | — | 6 | 6 | no | — |
| 425 | C2×#41 | — | 6 | 3 | no | — |
| 426 | C2×#41 | — | 6 | 3 | no | — |
| 427 | C2×#41 | — | 6 | 6 | no | — |
| 428 | C2×#41 | — | 6 | 3 | no | — |
| 429 | C2×#41 | — | 6 | 12 | no | — |
| 430 | C2×#41 | — | 6 | 48 | no | — |
| 431 | C2×#41 | — | 6 | 4 | no | — |
| 432 | C2×#41 | — | 6 | 12 | no | — |
| 433 | C2×#41 | — | 6 | 4 | no | — |
| 434 | C2×#41 | — | 6 | 1 | no | — |
| 435 | C2×#41 | — | 6 | 3 | no | — |
| 436 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 437 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 438 | C22×Q8 | — | 2 | 1 | no | — |
| 439 | C22×Q8 | — | 3 | 1 | no | — |
| 440 | C22×Q8 | — | 3 | 3 | no | — |
| 441 | C22×Q8 | — | 3 | 6 | no | — |
| 442 | C22×Q8 | — | 3 | 3 | no | — |
| 443 | C22×Q8 | — | 6 | 3 | no | — |
| 444 | C22×Q8 | — | 6 | 3 | no | — |
| 445 | C22×Q8 | — | 6 | 3 | no | — |
| 446 | C22×Q8 | — | 6 | 3 | no | — |
| 447 | C22×Q8 | — | 6 | 12 | no | — |
| 448 | C22×Q8 | — | 6 | 3 | no | — |
| 449 | C22×Q8 | — | 6 | 16 | no | — |
| 450 | C22×Q8 | — | 6 | 12 | no | — |
| 451 | C22×Q8 | — | 6 | 1 | no | — |
| 452 | C22×Q8 | C22×D3 | 1 | 3 | yes | — |
| 453 | C22×D4 | — | 3 | 3 | no | — |
| 454 | C22×D4 | — | 3 | 1 | no | — |
| 455 | C22×D4 | — | 3 | 3 | no | — |
| 456 | C22×D4 | — | 6 | 3 | no | — |
| 457 | C22×D4 | — | 6 | 3 | no | — |
| 458 | C22×D4 | — | 6 | 3 | no | — |
| 459 | C23×C4 | — | 3 | 3 | no | — |
| 460 | C23×C4 | — | 6 | 3 | no | — |
| 461 | C23×C4 | — | 6 | 3 | no | — |
| 462 | #137 | — | 6 | 12 | no | — |
| 463 | #137 | — | 6 | 12 | no | — |
| 464 | AGL(1,ℤ/8) | — | 6 | 12 | no | — |
| 465 | AGL(1,ℤ/8) | — | 6 | 12 | no | — |
| 466 | #135 | — | 6 | 12 | no | — |
| 467 | #135 | — | 6 | 12 | no | — |
| 468 | C2×Q16 | — | 3 | 3 | no | — |
| 469 | C2×Q16 | — | 3 | 3 | no | — |
| 470 | C2×SD16 | — | 3 | 3 | no | — |
| 471 | C2×SD16 | — | 3 | 6 | no | — |
| 472 | C2×SD16 | — | 3 | 1 | no | — |
| 473 | C2×SD16 | — | 3 | 3 | no | — |
| 474 | C2×SD16 | — | 3 | 6 | no | — |
| 475 | C2×SD16 | — | 3 | 1 | no | — |
| 476 | C2×SD16 | — | 6 | 12 | no | — |
| 477 | C2×SD16 | — | 6 | 12 | no | — |
| 478 | C2×D8 | — | 3 | 3 | no | — |
| 479 | C2×D8 | — | 3 | 3 | no | — |
| 480 | #131 | — | 2 | 4 | no | — |
| 481 | #131 | — | 6 | 4 | no | — |
| 482 | C2×M16 | — | 3 | 3 | no | — |
| 483 | C2×M16 | C22×D3 | 1 | 3 | yes | — |
| 484 | C22×C8 | — | 3 | 3 | no | — |
| 485 | C22×C8 | C22×D3 | 1 | 3 | yes | — |
| 486 | #127 | — | 6 | 3 | no | — |
| 487 | #124 | — | 6 | 3 | no | — |
| 488 | #123 | — | 6 | 3 | no | — |
| 489 | C22⋊Q8 | — | 3 | 1 | no | — |
| 490 | C22⋊Q8 | — | 3 | 3 | no | — |
| 491 | C22⋊Q8 | — | 6 | 3 | no | — |
| 492 | #121 | — | 3 | 3 | no | — |
| 493 | #121 | — | 3 | 6 | no | — |
| 494 | #121 | — | 3 | 3 | no | — |
| 495 | #121 | — | 6 | 3 | no | — |
| 496 | #121 | — | 6 | 3 | no | — |
| 497 | #121 | — | 6 | 3 | no | — |
| 498 | #121 | — | 6 | 6 | no | — |
| 499 | #120 | — | 6 | 6 | no | — |
| 500 | #120 | — | 6 | 3 | no | — |
| 501 | C4×Q8 | — | 2 | 1 | no | — |
| 502 | C4×D4 | — | 2 | 3 | no | — |
| 503 | C4×D4 | — | 6 | 3 | no | — |
| 504 | C4×D4 | — | 6 | 3 | no | — |
| 505 | #117 | C22×D3 | 1 | 3 | yes | — |
| 506 | C2×C4⋊C4 | C22×D3 | 1 | 3 | yes | — |
| 507 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 508 | #103 | — | 3 | 3 | no | — |
| 509 | #103 | — | 3 | 6 | no | — |
| 510 | #103 | — | 3 | 3 | no | — |
| 511 | #103 | C22×D3 | 1 | 3 | yes | — |
| 512 | #103 | C22×D3 | 1 | 6 | yes | — |
| 513 | #103 | C22×D3 | 1 | 3 | yes | — |
| 514 | #102 | — | 3 | 1 | no | — |
| 515 | #102 | — | 3 | 3 | no | — |
| 516 | #102 | C22×D3 | 1 | 1 | yes | characteristic |
| 517 | #102 | C22×D3 | 1 | 3 | yes | — |
| 518 | C22⋊C8 | — | 3 | 1 | no | — |
| 519 | C22⋊C8 | — | 3 | 3 | no | — |
| 520 | C22⋊C8 | — | 3 | 3 | no | — |
| 521 | C22⋊C8 | — | 3 | 3 | no | — |
| 522 | C22⋊C8 | — | 3 | 6 | no | — |
| 523 | C23×C3 | — | 2 | 1 | no | — |
| 524 | C23×C3 | C22×D4 | 1 | 3 | yes | — |
| 525 | C22×D3 | — | 2 | 4 | no | — |
| 526 | C22×D3 | — | 2 | 6 | no | — |
| 527 | C22×D3 | — | 2 | 1 | no | — |
| 528 | C22×D3 | — | 2 | 6 | no | — |
| 529 | C22×D3 | — | 2 | 3 | no | — |
| 530 | C22×D3 | — | 4 | 3 | no | — |
| 531 | C22×D3 | — | 4 | 2 | no | — |
| 532 | C22×D3 | — | 4 | 2 | no | — |
| 533 | C22×D3 | — | 4 | 6 | no | — |
| 534 | C22×D3 | — | 8 | 3 | no | — |
| 535 | C22×D3 | — | 8 | 3 | no | — |
| 536 | C22×D3 | C22×D4 | 1 | 3 | yes | — |
| 537 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 538 | C3×Q8 | — | 2 | 12 | no | — |
| 539 | C3×Q8 | — | 2 | 3 | no | — |
| 540 | C3×Q8 | #120 | 1 | 4 | yes | — |
| 541 | C3×Q8 | C22×D4 | 1 | 6 | yes | — |
| 542 | C3×D4 | — | 2 | 12 | no | — |
| 543 | C3×D4 | — | 2 | 1 | no | — |
| 544 | C3×D4 | #120 | 1 | 12 | yes | — |
| 545 | C3×D4 | C22×D4 | 1 | 2 | yes | — |
| 546 | C2×C3×C4 | — | 2 | 12 | no | — |
| 547 | C2×C3×C4 | — | 2 | 3 | no | — |
| 548 | C2×C3×C4 | — | 2 | 12 | no | — |
| 549 | C2×C3×C4 | — | 2 | 1 | no | — |
| 550 | C2×C3×C4 | — | 2 | 3 | no | — |
| 551 | C2×C3×C4 | — | 8 | 3 | no | — |
| 552 | C2×C3×C4 | C22×D4 | 1 | 6 | yes | — |
| 553 | C2×C3×C4 | C22×D4 | 1 | 3 | yes | — |
| 554 | C2×C3×C4 | C22×D4 | 1 | 6 | yes | — |
| 555 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 556 | #67 | — | 2 | 4 | no | — |
| 557 | #67 | — | 2 | 12 | no | — |
| 558 | #67 | — | 2 | 12 | no | — |
| 559 | #67 | — | 2 | 12 | no | — |
| 560 | #67 | — | 4 | 6 | no | — |
| 561 | C2×Dic3 | — | 2 | 12 | no | — |
| 562 | C2×Dic3 | — | 2 | 6 | no | — |
| 563 | C2×Dic3 | — | 2 | 12 | no | — |
| 564 | C2×Dic3 | — | 2 | 3 | no | — |
| 565 | C2×Dic3 | — | 2 | 1 | no | — |
| 566 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 567 | C2×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 568 | D12 | — | 2 | 12 | no | — |
| 569 | D12 | — | 2 | 6 | no | — |
| 570 | D12 | — | 2 | 1 | no | — |
| 571 | D12 | — | 2 | 3 | no | — |
| 572 | D12 | — | 2 | 3 | no | — |
| 573 | D12 | — | 4 | 6 | no | — |
| 574 | D12 | — | 4 | 6 | no | — |
| 575 | D12 | — | 8 | 3 | no | — |
| 576 | D12 | — | 8 | 6 | no | — |
| 577 | D12 | C22×D4 | 1 | 2 | yes | — |
| 578 | C4×D3 | — | 2 | 12 | no | — |
| 579 | C4×D3 | — | 2 | 12 | no | — |
| 580 | C4×D3 | — | 2 | 24 | no | — |
| 581 | C4×D3 | — | 2 | 6 | no | — |
| 582 | C4×D3 | — | 2 | 12 | no | — |
| 583 | C4×D3 | — | 2 | 6 | no | — |
| 584 | C4×D3 | — | 2 | 1 | no | — |
| 585 | C4×D3 | — | 2 | 1 | no | — |
| 586 | C4×D3 | — | 2 | 3 | no | — |
| 587 | C4×D3 | — | 2 | 3 | no | — |
| 588 | C4×D3 | — | 4 | 6 | no | — |
| 589 | Dic6 | — | 2 | 24 | no | — |
| 590 | Dic6 | — | 2 | 12 | no | — |
| 591 | Dic6 | — | 2 | 6 | no | — |
| 592 | Dic6 | — | 2 | 12 | no | — |
| 593 | Dic6 | — | 2 | 3 | no | — |
| 594 | Dic6 | — | 2 | 1 | no | — |
| 595 | Dic6 | — | 2 | 1 | no | — |
| 596 | Dic6 | C22×D4 | 1 | 6 | yes | — |
| 597 | C3×C8 | — | 2 | 1 | no | — |
| 598 | C3×C8 | — | 2 | 3 | no | — |
| 599 | C3⋊C8 | — | 2 | 1 | no | — |
| 600 | C3⋊C8 | — | 2 | 3 | no | — |
| 601 | C24 | — | 3 | 3 | no | — |
| 602 | C24 | — | 6 | 1 | no | — |
| 603 | C24 | — | 6 | 3 | no | — |
| 604 | #41 | — | 2 | 24 | no | — |
| 605 | #41 | — | 2 | 6 | no | — |
| 606 | #41 | — | 3 | 12 | no | — |
| 607 | #41 | — | 6 | 48 | no | — |
| 608 | #41 | — | 6 | 24 | no | — |
| 609 | #41 | — | 6 | 24 | no | — |
| 610 | #41 | — | 6 | 6 | no | — |
| 611 | #41 | — | 6 | 24 | no | — |
| 612 | #41 | — | 6 | 48 | no | — |
| 613 | #41 | — | 6 | 6 | no | — |
| 614 | #41 | — | 6 | 24 | no | — |
| 615 | #41 | — | 6 | 4 | no | — |
| 616 | #41 | — | 6 | 6 | no | — |
| 617 | #41 | — | 6 | 12 | no | — |
| 618 | #41 | — | 6 | 24 | no | — |
| 619 | #41 | — | 6 | 6 | no | — |
| 620 | #41 | — | 6 | 6 | no | — |
| 621 | #41 | — | 6 | 6 | no | — |
| 622 | #41 | — | 6 | 6 | no | — |
| 623 | #41 | — | 6 | 6 | no | — |
| 624 | #41 | — | 6 | 6 | no | — |
| 625 | #41 | — | 12 | 4 | no | — |
| 626 | #41 | C2×D12 | 1 | 4 | yes | — |
| 627 | #41 | C2×D12 | 1 | 12 | yes | complemented |
| 628 | #41 | D3×D4 | 1 | 4 | yes | — |
| 629 | C2×Q8 | — | 2 | 8 | no | — |
| 630 | C2×Q8 | — | 2 | 3 | no | — |
| 631 | C2×Q8 | — | 2 | 6 | no | — |
| 632 | C2×Q8 | — | 3 | 3 | no | — |
| 633 | C2×Q8 | — | 3 | 12 | no | — |
| 634 | C2×Q8 | — | 3 | 3 | no | — |
| 635 | C2×Q8 | — | 3 | 1 | no | — |
| 636 | C2×Q8 | — | 6 | 3 | no | — |
| 637 | C2×Q8 | — | 6 | 6 | no | — |
| 638 | C2×Q8 | — | 6 | 24 | no | — |
| 639 | C2×Q8 | — | 6 | 24 | no | — |
| 640 | C2×Q8 | — | 6 | 6 | no | — |
| 641 | C2×Q8 | — | 6 | 12 | no | — |
| 642 | C2×Q8 | — | 6 | 24 | no | — |
| 643 | C2×Q8 | — | 6 | 24 | no | — |
| 644 | C2×Q8 | — | 6 | 24 | no | — |
| 645 | C2×Q8 | — | 6 | 4 | no | — |
| 646 | C2×Q8 | — | 6 | 8 | no | — |
| 647 | C2×Q8 | — | 6 | 6 | no | — |
| 648 | C2×Q8 | — | 6 | 12 | no | — |
| 649 | C2×Q8 | — | 6 | 6 | no | — |
| 650 | C2×Q8 | — | 6 | 3 | no | — |
| 651 | C2×Q8 | C2×D12 | 1 | 12 | yes | complemented |
| 652 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 653 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 654 | C2×D4 | — | 2 | 3 | no | — |
| 655 | C2×D4 | — | 3 | 6 | no | — |
| 656 | C2×D4 | — | 3 | 3 | no | — |
| 657 | C2×D4 | — | 3 | 1 | no | — |
| 658 | C2×D4 | — | 3 | 3 | no | — |
| 659 | C2×D4 | — | 6 | 3 | no | — |
| 660 | C2×D4 | — | 6 | 3 | no | — |
| 661 | C2×D4 | — | 6 | 3 | no | — |
| 662 | C2×D4 | — | 6 | 6 | no | — |
| 663 | C2×D4 | — | 6 | 1 | no | — |
| 664 | C2×D4 | — | 6 | 2 | no | — |
| 665 | C2×D4 | — | 6 | 24 | no | — |
| 666 | C2×D4 | — | 6 | 3 | no | — |
| 667 | C2×D4 | — | 6 | 3 | no | — |
| 668 | C2×D4 | — | 6 | 12 | no | — |
| 669 | C2×D4 | — | 6 | 2 | no | — |
| 670 | C2×D4 | — | 6 | 3 | no | — |
| 671 | C2×D4 | — | 6 | 6 | no | — |
| 672 | C2×D4 | — | 6 | 6 | no | — |
| 673 | C2×D4 | — | 6 | 3 | no | — |
| 674 | C2×D4 | — | 12 | 12 | no | — |
| 675 | C2×D4 | — | 24 | 6 | no | — |
| 676 | C2×D4 | D3×D4 | 1 | 3 | yes | — |
| 677 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 678 | C22×C4 | — | 2 | 3 | no | — |
| 679 | C22×C4 | — | 2 | 3 | no | — |
| 680 | C22×C4 | — | 2 | 3 | no | — |
| 681 | C22×C4 | — | 3 | 3 | no | — |
| 682 | C22×C4 | — | 3 | 3 | no | — |
| 683 | C22×C4 | — | 3 | 3 | no | — |
| 684 | C22×C4 | — | 3 | 1 | no | — |
| 685 | C22×C4 | — | 3 | 3 | no | — |
| 686 | C22×C4 | — | 6 | 3 | no | — |
| 687 | C22×C4 | — | 6 | 3 | no | — |
| 688 | C22×C4 | — | 6 | 6 | no | — |
| 689 | C22×C4 | — | 6 | 24 | no | — |
| 690 | C22×C4 | — | 6 | 24 | no | — |
| 691 | C22×C4 | — | 6 | 3 | no | — |
| 692 | C22×C4 | — | 6 | 3 | no | — |
| 693 | C22×C4 | — | 6 | 6 | no | — |
| 694 | C22×C4 | — | 6 | 6 | no | — |
| 695 | C22×C4 | — | 6 | 3 | no | — |
| 696 | C22×C4 | — | 6 | 3 | no | — |
| 697 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 698 | Q16 | — | 6 | 6 | no | — |
| 699 | Q16 | — | 6 | 6 | no | — |
| 700 | SD16 | — | 6 | 2 | no | — |
| 701 | SD16 | — | 6 | 6 | no | — |
| 702 | SD16 | — | 6 | 12 | no | — |
| 703 | SD16 | — | 6 | 6 | no | — |
| 704 | SD16 | — | 6 | 12 | no | — |
| 705 | SD16 | — | 6 | 2 | no | — |
| 706 | D8 | — | 6 | 6 | no | — |
| 707 | D8 | — | 6 | 6 | no | — |
| 708 | M16 | — | 2 | 6 | no | — |
| 709 | M16 | — | 6 | 6 | no | — |
| 710 | C2×C8 | — | 2 | 6 | no | — |
| 711 | C2×C8 | — | 3 | 1 | no | — |
| 712 | C2×C8 | — | 3 | 3 | no | — |
| 713 | C2×C8 | — | 6 | 6 | no | — |
| 714 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 715 | C2×C8 | C23×D3 | 1 | 3 | yes | — |
| 716 | C4⋊C4 | — | 2 | 3 | no | — |
| 717 | C4⋊C4 | — | 6 | 1 | no | — |
| 718 | C4⋊C4 | — | 6 | 3 | no | — |
| 719 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 720 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 721 | C22⋊C4 | — | 2 | 3 | no | — |
| 722 | C22⋊C4 | — | 6 | 3 | no | — |
| 723 | C22⋊C4 | — | 6 | 6 | no | — |
| 724 | C22⋊C4 | — | 6 | 3 | no | — |
| 725 | C22⋊C4 | — | 6 | 1 | no | — |
| 726 | C22⋊C4 | — | 6 | 3 | no | — |
| 727 | C42 | — | 2 | 3 | no | — |
| 728 | C22×C3 | — | 2 | 3 | no | — |
| 729 | C22×C3 | — | 2 | 3 | no | — |
| 730 | C22×C3 | — | 2 | 2 | no | — |
| 731 | C22×C3 | — | 4 | 1 | no | — |
| 732 | C22×C3 | — | 4 | 1 | no | — |
| 733 | C22×C3 | C2×#120 | 1 | 6 | yes | — |
| 734 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 735 | C2×D3 | — | 2 | 1 | no | — |
| 736 | C2×D3 | — | 2 | 1 | no | — |
| 737 | C2×D3 | — | 2 | 3 | no | — |
| 738 | C2×D3 | — | 2 | 3 | no | — |
| 739 | C2×D3 | — | 2 | 2 | no | — |
| 740 | C2×D3 | — | 2 | 3 | no | — |
| 741 | C2×D3 | — | 4 | 12 | no | — |
| 742 | C2×D3 | — | 4 | 8 | no | — |
| 743 | C2×D3 | — | 4 | 1 | no | — |
| 744 | C2×D3 | — | 4 | 1 | no | — |
| 745 | C2×D3 | — | 4 | 3 | no | — |
| 746 | C2×D3 | — | 4 | 3 | no | — |
| 747 | C2×D3 | — | 4 | 3 | no | — |
| 748 | C2×D3 | — | 16 | 6 | no | — |
| 749 | C2×D3 | #577 | 1 | 2 | yes | complemented |
| 750 | C3×C4 | — | 2 | 6 | no | — |
| 751 | C3×C4 | — | 4 | 1 | no | — |
| 752 | C3×C4 | — | 4 | 3 | no | — |
| 753 | C3×C4 | C2×#120 | 1 | 6 | yes | — |
| 754 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 755 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 756 | Dic3 | — | 2 | 1 | no | — |
| 757 | Dic3 | — | 2 | 3 | no | — |
| 758 | Dic3 | — | 2 | 6 | no | — |
| 759 | Dic3 | — | 4 | 1 | no | — |
| 760 | C23 | — | 2 | 1 | no | — |
| 761 | C23 | — | 3 | 1 | no | — |
| 762 | C23 | — | 3 | 3 | no | — |
| 763 | C23 | — | 6 | 6 | no | — |
| 764 | C23 | — | 6 | 4 | no | — |
| 765 | C23 | — | 6 | 1 | no | — |
| 766 | C23 | — | 6 | 6 | no | — |
| 767 | C23 | — | 6 | 3 | no | — |
| 768 | C23 | — | 12 | 3 | no | — |
| 769 | C23 | — | 12 | 2 | no | — |
| 770 | C23 | — | 12 | 2 | no | — |
| 771 | C23 | — | 12 | 6 | no | — |
| 772 | C23 | — | 24 | 3 | no | — |
| 773 | C23 | — | 24 | 3 | no | — |
| 774 | C23 | C2×D3×D4 | 1 | 3 | yes | — |
| 775 | Q8 | — | 2 | 3 | no | — |
| 776 | Q8 | — | 2 | 12 | no | — |
| 777 | Q8 | — | 3 | 6 | no | — |
| 778 | Q8 | — | 6 | 12 | no | — |
| 779 | Q8 | — | 6 | 24 | no | — |
| 780 | Q8 | — | 6 | 3 | no | — |
| 781 | Q8 | — | 6 | 6 | no | — |
| 782 | Q8 | — | 6 | 12 | no | — |
| 783 | Q8 | — | 6 | 1 | no | — |
| 784 | Q8 | — | 6 | 1 | no | — |
| 785 | Q8 | #882 | 1 | 4 | yes | — |
| 786 | Q8 | C22×D12 | 1 | 6 | yes | — |
| 787 | D4 | — | 2 | 12 | no | — |
| 788 | D4 | — | 2 | 1 | no | — |
| 789 | D4 | — | 3 | 2 | no | — |
| 790 | D4 | — | 6 | 12 | no | — |
| 791 | D4 | — | 6 | 4 | no | — |
| 792 | D4 | — | 6 | 12 | no | — |
| 793 | D4 | — | 6 | 12 | no | — |
| 794 | D4 | — | 6 | 12 | no | — |
| 795 | D4 | — | 6 | 1 | no | — |
| 796 | D4 | — | 6 | 3 | no | — |
| 797 | D4 | — | 6 | 3 | no | — |
| 798 | D4 | — | 6 | 6 | no | — |
| 799 | D4 | — | 12 | 6 | no | — |
| 800 | D4 | — | 12 | 6 | no | — |
| 801 | D4 | — | 12 | 6 | no | — |
| 802 | D4 | — | 24 | 6 | no | — |
| 803 | D4 | — | 24 | 3 | no | — |
| 804 | D4 | #882 | 1 | 12 | yes | — |
| 805 | D4 | C22×D12 | 1 | 2 | yes | — |
| 806 | C2×C4 | — | 2 | 3 | no | — |
| 807 | C2×C4 | — | 2 | 12 | no | — |
| 808 | C2×C4 | — | 2 | 12 | no | — |
| 809 | C2×C4 | — | 2 | 1 | no | — |
| 810 | C2×C4 | — | 2 | 3 | no | — |
| 811 | C2×C4 | — | 3 | 1 | no | — |
| 812 | C2×C4 | — | 3 | 3 | no | — |
| 813 | C2×C4 | — | 6 | 12 | no | — |
| 814 | C2×C4 | — | 6 | 12 | no | — |
| 815 | C2×C4 | — | 6 | 24 | no | — |
| 816 | C2×C4 | — | 6 | 12 | no | — |
| 817 | C2×C4 | — | 6 | 3 | no | — |
| 818 | C2×C4 | — | 6 | 6 | no | — |
| 819 | C2×C4 | — | 6 | 12 | no | — |
| 820 | C2×C4 | — | 6 | 1 | no | — |
| 821 | C2×C4 | — | 6 | 3 | no | — |
| 822 | C2×C4 | — | 6 | 1 | no | — |
| 823 | C2×C4 | — | 6 | 3 | no | — |
| 824 | C2×C4 | — | 6 | 6 | no | — |
| 825 | C2×C4 | — | 6 | 6 | no | — |
| 826 | C2×C4 | — | 6 | 12 | no | — |
| 827 | C2×C4 | — | 6 | 1 | no | — |
| 828 | C2×C4 | — | 8 | 3 | no | — |
| 829 | C2×C4 | — | 12 | 6 | no | — |
| 830 | C2×C4 | C22×D12 | 1 | 6 | yes | — |
| 831 | C2×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 832 | C2×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 833 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 834 | C8 | — | 2 | 1 | no | — |
| 835 | C8 | — | 2 | 3 | no | — |
| 836 | C8 | — | 6 | 1 | no | — |
| 837 | C8 | — | 6 | 3 | no | — |
| 838 | C2×C3 | — | 2 | 6 | no | — |
| 839 | C2×C3 | — | 4 | 2 | no | — |
| 840 | C2×C3 | C22×#120 | 1 | 1 | yes | characteristic |
| 841 | C2×C3 | C2×#577 | 1 | 1 | yes | characteristic |
| 842 | C2×C3 | #3586 | 1 | 1 | yes | characteristic |
| 843 | D3 | — | 2 | 2 | no | — |
| 844 | D3 | — | 4 | 3 | no | — |
| 845 | D3 | — | 4 | 2 | no | — |
| 846 | D3 | — | 8 | 3 | no | — |
| 847 | C22 | — | 2 | 3 | no | — |
| 848 | C22 | — | 2 | 3 | no | — |
| 849 | C22 | — | 2 | 2 | no | — |
| 850 | C22 | — | 3 | 2 | no | — |
| 851 | C22 | — | 4 | 1 | no | — |
| 852 | C22 | — | 4 | 1 | no | — |
| 853 | C22 | — | 6 | 1 | no | — |
| 854 | C22 | — | 6 | 1 | no | — |
| 855 | C22 | — | 6 | 3 | no | — |
| 856 | C22 | — | 6 | 3 | no | — |
| 857 | C22 | — | 6 | 2 | no | — |
| 858 | C22 | — | 6 | 3 | no | — |
| 859 | C22 | — | 12 | 12 | no | — |
| 860 | C22 | — | 12 | 8 | no | — |
| 861 | C22 | — | 12 | 1 | no | — |
| 862 | C22 | — | 12 | 1 | no | — |
| 863 | C22 | — | 12 | 3 | no | — |
| 864 | C22 | — | 12 | 3 | no | — |
| 865 | C22 | — | 12 | 3 | no | — |
| 866 | C22 | — | 48 | 6 | no | — |
| 867 | C22 | C2×#882 | 1 | 6 | yes | — |
| 868 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 869 | C4 | — | 2 | 6 | no | — |
| 870 | C4 | — | 4 | 3 | no | — |
| 871 | C4 | — | 4 | 1 | no | — |
| 872 | C4 | — | 6 | 1 | no | — |
| 873 | C4 | — | 6 | 3 | no | — |
| 874 | C4 | — | 6 | 6 | no | — |
| 875 | C4 | — | 12 | 1 | no | — |
| 876 | C4 | C2×#882 | 1 | 6 | yes | — |
| 877 | C4 | C23×D12 | 1 | 1 | yes | characteristic |
| 878 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 879 | C3 | #60374 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 880 | C2 | — | 2 | 6 | no | — |
| 881 | C2 | — | 4 | 2 | no | — |
| 882 | C2 | — | 6 | 2 | no | — |
| 883 | C2 | — | 12 | 3 | no | — |
| 884 | C2 | — | 12 | 2 | no | — |
| 885 | C2 | — | 24 | 3 | no | — |
| 886 | C2 | C22×#882 | 1 | 1 | yes | characteristic |
| 887 | C2 | D3×#577 | 1 | 1 | yes | characteristic |
| 888 | C2 | #87211 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D3×2−1+4 | C2 | semidirect |
| 2. C2×#5837 | C2 | semidirect |
| 3. C2×#5751 | C2 | semidirect |
| 4. #85900 | C2 | semidirect |
| 5. C3×#2898 | C2 | semidirect |
| 6. #83793 | C2 | semidirect |
| 7. #82570 | C2 | semidirect |
| 8. #78960 | C2 | semidirect |
| 9. #78958 | C2 | semidirect |
| 10. #78887 | C2 | semidirect |
| 11. #78884 | C2 | semidirect |
| 12. #78836 | C2 | semidirect |
| 13. #78833 | C2 | semidirect |
| 14. #78795 | C2 | semidirect |
| 15. C2×#4806 | C2 | semidirect |
| 22. C2×#1010 | C22 | semidirect |
| 23. C2×#1009 | C22 | semidirect |
| 26. C2×D3×#41 | C22 | semidirect |
| 28. C2×#1007 | C22 | semidirect |
| 30. C22×D3×Q8 | C22 | semidirect |
| 31. C2×C3×#131 | C22 | semidirect |
| 32. C3×#520 | C22 | semidirect |
| 34. C2×#950 | C22 | semidirect |
| 35. C2×#949 | C22 | semidirect |
| 36. C2×#948 | C22 | semidirect |
| 37. C2×#942 | C22 | semidirect |
| 38. C22×#215 | C22 | semidirect |
| 40. C2×#909 | C22 | semidirect |
| 41. C2×#908 | C22 | semidirect |
| 42. C2×#904 | C22 | semidirect |
| 43. C22×#204 | C22 | semidirect |
| 48. #5525 | C22 | semidirect |
| 50. #5510 | C22 | semidirect |
| 52. C3×#419 | C22 | semidirect |
| 53. C3×#417 | C22 | semidirect |
| 54. C3×#416 | C22 | semidirect |
| 55. C2×C3×#103 | C22 | semidirect |
| 56. #5129 | C22 | semidirect |
| 57. #5126 | C22 | semidirect |
| 58. #5110 | C22 | semidirect |
| 59. C2×(C2×D3)⋊C8 | C22 | semidirect |
| 60. #5004 | C22 | semidirect |
| 61. #5002 | C22 | semidirect |
| 62. C2×#810 | C22 | semidirect |
| 63. #4966 | C22 | semidirect |
| 64. #4810 | C22 | semidirect |
| 65. #4810 | C22 | semidirect |
| 66. #4809 | C22 | semidirect |
| 67. #4809 | C22 | semidirect |
| 68. #4808 | C22 | semidirect |
| 69. #4806 | C22 | semidirect |
| 70. #4806 | C22 | semidirect |
| 71. #4806 | C22 | semidirect |
| 72. #4806 | C22 | semidirect |
| 73. #4806 | C22 | semidirect |
| 74. #4783 | C22 | semidirect |
| 75. #4781 | C22 | semidirect |
| 76. #4781 | C22 | semidirect |
| 77. #4776 | C22 | semidirect |
| 78. #4773 | C22 | semidirect |
| 92. #2898 | D3 | semidirect |
| 95. C3×2−1+4 | D4 | semidirect |
| 105. #1010 | D4 | semidirect |
| 239. C2×#131 | C2×D3 | semidirect |
| 248. #520 | C2×D3 | semidirect |
| 265. #419 | C2×D3 | semidirect |
| 267. #417 | C2×D3 | semidirect |
| 269. #416 | C2×D3 | semidirect |
| 271. C2×#103 | C2×D3 | semidirect |
| 283. C3×#41 | C2×D4 | semidirect |
| 288. C2×C3×Q8 | C2×D4 | semidirect |
| 338. #235 | C2×D4 | semidirect |
| 370. C2×Dic6 | C2×D4 | semidirect |
| 412. 2−1+4 | D12 | semidirect |
| 627. #41 | C2×D12 | semidirect |
| 651. C2×Q8 | C2×D12 | semidirect |
| 749. C2×D3 | #577 | semidirect |
| 879. C3 | #60374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×2−1+4 | 2 |
| C2×#5837 | 2 |
| C2×#5751 | 2 |
| #85900 | 2 |
| C3×#2898 | 2 |
| #83793 | 2 |
| #82570 | 2 |
| #78960 | 2 |
| #78958 | 2 |
| #78887 | 2 |
| #78884 | 2 |
| #78836 | 2 |
| #78833 | 2 |
| #78795 | 2 |
| C2×#4806 | 2 |
| #60374 | 3 |