Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2682 conjugacy classes of subgroups.
The subgroup lattice has 834 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×C3×#578 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87295 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#5768 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #84114 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #83996 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #83991 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #83981 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #83971 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #83921 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #83899 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #83888 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | C2×#5189 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #83881 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #83800 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #83795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #61064 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×C3×2−1+4 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×D3×#41 | C22 | 1 | 2 | yes | — |
| 19 | C3×#578 | — | 2 | 8 | no | — |
| 20 | C2×C3×#137 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×C3×#137 | C22 | 1 | 4 | yes | complemented |
| 22 | C2×C3×#135 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C3×#135 | C22 | 1 | 2 | yes | complemented |
| 24 | C22×C3×Q16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C22×C3×Q16 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×C3×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #5833 | — | 2 | 2 | no | — |
| 28 | #5833 | C22 | 1 | 2 | yes | complemented |
| 29 | #5829 | — | 2 | 4 | no | — |
| 30 | #5829 | C22 | 1 | 4 | yes | complemented |
| 31 | #5828 | — | 2 | 2 | no | — |
| 32 | #5828 | C22 | 1 | 1 | yes | characteristic |
| 33 | #5827 | C22 | 1 | 2 | yes | complemented |
| 34 | #5824 | — | 2 | 4 | no | — |
| 35 | #5824 | C22 | 1 | 4 | yes | — |
| 36 | C2×#950 | C22 | 1 | 2 | yes | — |
| 37 | #5817 | C22 | 1 | 4 | yes | — |
| 38 | #5816 | — | 2 | 2 | no | — |
| 39 | #5816 | C22 | 1 | 2 | yes | complemented |
| 40 | Q8×#67 | C22 | 1 | 4 | yes | complemented |
| 41 | C2×#946 | — | 2 | 2 | no | — |
| 42 | C2×#946 | C22 | 1 | 2 | yes | — |
| 43 | C2×#942 | C22 | 1 | 2 | yes | complemented |
| 44 | #5768 | — | 2 | 8 | no | — |
| 45 | C2×#918 | C22 | 1 | 2 | yes | — |
| 46 | C2×#915 | C22 | 1 | 2 | yes | — |
| 47 | C2×#914 | C22 | 1 | 2 | yes | — |
| 48 | C2×#911 | C22 | 1 | 2 | yes | — |
| 49 | C2×#904 | C22 | 1 | 1 | yes | characteristic |
| 50 | C22×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic |
| 51 | #5239 | C22 | 1 | 4 | yes | complemented |
| 52 | #5238 | C22 | 1 | 4 | yes | complemented |
| 53 | #5234 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #5232 | C22 | 1 | 2 | yes | complemented |
| 55 | #5228 | C22 | 1 | 4 | yes | complemented |
| 56 | #5227 | C22 | 1 | 4 | yes | complemented |
| 57 | C2×#835 | C22 | 1 | 2 | yes | complemented |
| 58 | #5191 | C22 | 1 | 2 | yes | complemented |
| 59 | #5190 | C22 | 1 | 4 | yes | complemented |
| 60 | #5189 | C22 | 1 | 4 | yes | complemented |
| 61 | #5189 | C22 | 1 | 4 | yes | complemented |
| 62 | #5187 | C22 | 1 | 4 | yes | — |
| 63 | #5186 | C22 | 1 | 4 | yes | complemented |
| 64 | #5185 | C22 | 1 | 4 | yes | complemented |
| 65 | #5184 | C22 | 1 | 2 | yes | complemented |
| 66 | #5183 | C22 | 1 | 2 | yes | complemented |
| 67 | #5182 | C22 | 1 | 4 | yes | complemented |
| 68 | #5173 | C22 | 1 | 4 | yes | — |
| 69 | #5169 | C22 | 1 | 4 | yes | complemented |
| 70 | #5165 | C22 | 1 | 4 | yes | complemented |
| 71 | #5162 | C22 | 1 | 4 | yes | complemented |
| 72 | Dic3×SD16 | C22 | 1 | 4 | yes | complemented |
| 73 | #5152 | C22 | 1 | 2 | yes | complemented |
| 74 | #5137 | C22 | 1 | 2 | yes | complemented |
| 75 | #5135 | C22 | 1 | 2 | yes | complemented |
| 76 | #5133 | C22 | 1 | 2 | yes | complemented |
| 77 | #5128 | C22 | 1 | 4 | yes | complemented |
| 78 | #5126 | C22 | 1 | 1 | yes | characteristic |
| 79 | #5119 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #5114 | C22 | 1 | 4 | yes | complemented |
| 81 | #5111 | C22 | 1 | 4 | yes | complemented |
| 82 | C2×#817 | C22 | 1 | 1 | yes | characteristic, complemented |
| 83 | #5101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | C2×#578 | D3 | 1 | 1 | yes | characteristic, complemented |
| 85 | C2×#575 | — | 3 | 1 | no | — |
| 86 | #3489 | — | 3 | 2 | no | — |
| 87 | #3276 | — | 3 | 4 | no | — |
| 88 | #3275 | — | 3 | 4 | no | — |
| 89 | #3270 | — | 3 | 4 | no | — |
| 90 | #3267 | — | 3 | 4 | no | — |
| 91 | #3156 | — | 3 | 1 | no | — |
| 92 | #3060 | — | 3 | 1 | no | — |
| 93 | C2×#470 | — | 3 | 1 | no | — |
| 94 | #3046 | — | 3 | 2 | no | — |
| 95 | #3013 | — | 3 | 2 | no | — |
| 96 | #3007 | — | 3 | 2 | no | — |
| 97 | #2952 | — | 3 | 1 | no | — |
| 98 | #2930 | — | 3 | 1 | no | — |
| 99 | C3×2−1+4 | — | 2 | 8 | no | — |
| 100 | C3×2−1+4 | — | 4 | 4 | no | — |
| 101 | C2×C3×#41 | — | 2 | 4 | no | — |
| 102 | C2×C3×#41 | — | 2 | 2 | no | — |
| 103 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 104 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 105 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 106 | C22×C3×Q8 | — | 2 | 2 | no | — |
| 107 | C22×C3×Q8 | C23 | 1 | 2 | yes | — |
| 108 | C22×C3×Q8 | C23 | 1 | 4 | yes | — |
| 109 | D3×#41 | — | 2 | 8 | no | — |
| 110 | D3×#41 | — | 4 | 4 | no | — |
| 111 | C2×#239 | C23 | 1 | 2 | yes | — |
| 112 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 113 | C2×#237 | — | 2 | 2 | no | — |
| 114 | C2×#237 | C23 | 1 | 2 | yes | — |
| 115 | C2×D3×D4 | — | 2 | 2 | no | — |
| 116 | C2×D3×D4 | C23 | 1 | 2 | yes | — |
| 117 | C2×#235 | — | 2 | 2 | no | — |
| 118 | C2×#235 | C23 | 1 | 2 | yes | — |
| 119 | C22×C4×D3 | — | 2 | 2 | no | — |
| 120 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 121 | C3×#137 | — | 2 | 8 | no | — |
| 122 | C3×#137 | — | 2 | 16 | no | — |
| 123 | C3×#135 | — | 2 | 8 | no | — |
| 124 | C3×#135 | D4 | 1 | 8 | yes | complemented |
| 125 | C2×C3×Q16 | — | 2 | 8 | no | — |
| 126 | C2×C3×Q16 | — | 2 | 4 | no | — |
| 127 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 128 | C2×C3×Q16 | C23 | 1 | 4 | yes | — |
| 129 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 130 | C2×C3×Q16 | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 132 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 133 | C2×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 134 | C3×#131 | — | 2 | 4 | no | — |
| 135 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 137 | C22×C3×C8 | C23 | 1 | 2 | yes | — |
| 138 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 139 | #950 | — | 2 | 8 | no | — |
| 140 | #947 | — | 2 | 4 | no | — |
| 141 | #947 | C23 | 1 | 4 | yes | — |
| 142 | #946 | — | 2 | 2 | no | — |
| 143 | #946 | — | 2 | 2 | no | — |
| 144 | #946 | — | 2 | 2 | no | — |
| 145 | #946 | — | 2 | 4 | no | — |
| 146 | #946 | — | 2 | 2 | no | — |
| 147 | #946 | — | 2 | 2 | no | — |
| 148 | #946 | — | 2 | 4 | no | — |
| 149 | #946 | D4 | 1 | 2 | yes | — |
| 150 | #946 | C23 | 1 | 4 | yes | — |
| 151 | #946 | C23 | 1 | 4 | yes | — |
| 152 | Q8×Dic3 | C23 | 1 | 4 | yes | — |
| 153 | #944 | — | 2 | 4 | no | — |
| 154 | #944 | C23 | 1 | 4 | yes | — |
| 155 | C2×#216 | C23 | 1 | 2 | yes | — |
| 156 | C2×#216 | C23 | 1 | 4 | yes | — |
| 157 | #942 | — | 4 | 4 | no | — |
| 158 | C2×#215 | C23 | 1 | 2 | yes | — |
| 159 | C2×#215 | C23 | 1 | 4 | yes | — |
| 160 | #939 | — | 2 | 4 | no | — |
| 161 | #939 | — | 2 | 4 | no | — |
| 162 | #939 | — | 2 | 4 | no | — |
| 163 | #938 | — | 2 | 2 | no | — |
| 164 | #938 | D4 | 1 | 2 | yes | — |
| 165 | #937 | — | 2 | 4 | no | — |
| 166 | #937 | D4 | 1 | 2 | yes | — |
| 167 | #935 | — | 2 | 4 | no | — |
| 168 | #935 | D4 | 1 | 2 | yes | — |
| 169 | D4×Dic3 | — | 2 | 4 | no | — |
| 170 | D4×Dic3 | C23 | 1 | 4 | yes | — |
| 171 | C2×#214 | C23 | 1 | 2 | yes | — |
| 172 | C2×#213 | C23 | 1 | 2 | yes | — |
| 173 | #930 | — | 2 | 4 | no | — |
| 174 | #930 | C23 | 1 | 4 | yes | — |
| 175 | #929 | — | 2 | 4 | no | — |
| 176 | #929 | — | 2 | 4 | no | — |
| 177 | #929 | — | 2 | 4 | no | — |
| 178 | C4×#67 | — | 2 | 4 | no | — |
| 179 | C4×#67 | — | 2 | 4 | no | — |
| 180 | C4×#67 | C23 | 1 | 4 | yes | — |
| 181 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 182 | C2×(C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 183 | #926 | — | 2 | 2 | no | — |
| 184 | #926 | C23 | 1 | 1 | yes | characteristic |
| 185 | C2×C4⋊Dic3 | — | 2 | 2 | no | — |
| 186 | C2×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 187 | #924 | — | 2 | 4 | no | — |
| 188 | #924 | C23 | 1 | 4 | yes | — |
| 189 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 190 | C2×Dic3⋊C4 | — | 2 | 4 | no | — |
| 191 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 192 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 193 | #918 | — | 2 | 8 | no | — |
| 194 | #915 | — | 2 | 8 | no | — |
| 195 | #914 | — | 2 | 8 | no | — |
| 196 | #911 | — | 2 | 8 | no | — |
| 197 | C2×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 198 | #904 | — | 2 | 4 | no | — |
| 199 | C2×D24 | C23 | 1 | 1 | yes | characteristic |
| 200 | C2×#204 | C23 | 1 | 2 | yes | — |
| 201 | C2×ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 202 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 203 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 204 | #835 | C23 | 1 | 4 | yes | — |
| 205 | #835 | C23 | 1 | 4 | yes | — |
| 206 | #835 | C23 | 1 | 4 | yes | — |
| 207 | #832 | C23 | 1 | 4 | yes | — |
| 208 | #830 | C23 | 1 | 4 | yes | — |
| 209 | #821 | C23 | 1 | 4 | yes | — |
| 210 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | — |
| 211 | #817 | C23 | 1 | 2 | yes | — |
| 212 | #817 | C23 | 1 | 2 | yes | — |
| 213 | #816 | C23 | 1 | 4 | yes | — |
| 214 | #815 | C23 | 1 | 2 | yes | — |
| 215 | Dic3⋊C8 | C23 | 1 | 4 | yes | — |
| 216 | C8×Dic3 | C23 | 1 | 2 | yes | — |
| 217 | C2×2−1+4 | C2×D3 | 1 | 2 | yes | complemented |
| 218 | C22×#41 | — | 3 | 2 | no | — |
| 219 | #578 | — | 2 | 8 | no | — |
| 220 | #575 | — | 6 | 8 | no | — |
| 221 | C2×#137 | — | 3 | 2 | no | — |
| 222 | C2×#137 | — | 3 | 2 | no | — |
| 223 | C2×#137 | — | 3 | 2 | no | — |
| 224 | C2×#137 | C2×D3 | 1 | 2 | yes | complemented |
| 225 | C2×#137 | C2×D3 | 1 | 4 | yes | complemented |
| 226 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 227 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 228 | C2×#135 | — | 3 | 2 | no | — |
| 229 | C2×#135 | — | 3 | 1 | no | — |
| 230 | C2×#135 | C2×D3 | 1 | 1 | yes | characteristic |
| 231 | C2×#135 | C2×D3 | 1 | 2 | yes | complemented |
| 232 | C22×Q16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 233 | C22×Q16 | C2×D3 | 1 | 2 | yes | complemented |
| 234 | C2×#131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 235 | C22×M16 | — | 3 | 1 | no | — |
| 236 | D4×Q8 | — | 3 | 4 | no | — |
| 237 | #548 | — | 3 | 4 | no | — |
| 238 | #547 | — | 3 | 4 | no | — |
| 239 | #547 | — | 6 | 4 | no | — |
| 240 | #546 | — | 3 | 4 | no | — |
| 241 | #546 | — | 6 | 4 | no | — |
| 242 | #537 | — | 3 | 2 | no | — |
| 243 | #537 | — | 6 | 2 | no | — |
| 244 | #536 | — | 3 | 2 | no | — |
| 245 | #536 | — | 6 | 2 | no | — |
| 246 | #525 | — | 3 | 1 | no | — |
| 247 | #525 | — | 6 | 2 | no | — |
| 248 | C2×C22⋊Q8 | — | 3 | 2 | no | — |
| 249 | C2×C22⋊Q8 | — | 6 | 2 | no | — |
| 250 | #520 | — | 3 | 2 | no | — |
| 251 | #497 | — | 3 | 4 | no | — |
| 252 | #495 | — | 3 | 2 | no | — |
| 253 | #494 | — | 3 | 2 | no | — |
| 254 | #470 | — | 3 | 4 | no | — |
| 255 | #470 | — | 3 | 4 | no | — |
| 256 | #470 | — | 3 | 2 | no | — |
| 257 | #469 | — | 3 | 2 | no | — |
| 258 | #465 | — | 3 | 4 | no | — |
| 259 | #464 | — | 3 | 4 | no | — |
| 260 | #463 | — | 3 | 4 | no | — |
| 261 | #462 | — | 3 | 4 | no | — |
| 262 | #461 | — | 3 | 4 | no | — |
| 263 | #452 | — | 3 | 4 | no | — |
| 264 | #452 | — | 3 | 4 | no | — |
| 265 | #452 | — | 3 | 4 | no | — |
| 266 | #451 | — | 3 | 4 | no | — |
| 267 | #451 | — | 3 | 4 | no | — |
| 268 | #450 | — | 3 | 4 | no | — |
| 269 | #449 | — | 3 | 4 | no | — |
| 270 | #448 | — | 3 | 4 | no | — |
| 271 | #442 | — | 3 | 2 | no | — |
| 272 | #441 | — | 3 | 2 | no | — |
| 273 | C4×SD16 | — | 3 | 4 | no | — |
| 274 | #436 | — | 3 | 4 | no | — |
| 275 | #435 | — | 3 | 4 | no | — |
| 276 | C2×#106 | — | 3 | 1 | no | — |
| 277 | #424 | — | 3 | 1 | no | — |
| 278 | #417 | — | 3 | 2 | no | — |
| 279 | #417 | — | 3 | 2 | no | — |
| 280 | C2×#103 | — | 3 | 2 | no | — |
| 281 | #408 | — | 3 | 1 | no | — |
| 282 | #407 | — | 3 | 1 | no | — |
| 283 | #405 | — | 3 | 1 | no | — |
| 284 | C23×D3 | — | 2 | 2 | no | — |
| 285 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 286 | C3×#41 | — | 2 | 2 | no | — |
| 287 | C3×#41 | — | 2 | 4 | no | — |
| 288 | C3×#41 | — | 2 | 2 | no | — |
| 289 | C3×#41 | — | 2 | 8 | no | — |
| 290 | C3×#41 | — | 4 | 4 | no | — |
| 291 | C3×#41 | — | 4 | 8 | no | — |
| 292 | C3×#41 | — | 4 | 16 | no | — |
| 293 | C3×#41 | C2×D4 | 1 | 8 | yes | — |
| 294 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 295 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 296 | C2×C3×Q8 | — | 2 | 8 | no | — |
| 297 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 298 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 299 | C2×C3×Q8 | — | 4 | 4 | no | — |
| 300 | C2×C3×Q8 | — | 4 | 8 | no | — |
| 301 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | C2×C3×Q8 | C24 | 1 | 4 | yes | — |
| 303 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 304 | C2×C3×D4 | — | 2 | 2 | no | — |
| 305 | C2×C3×D4 | — | 2 | 4 | no | — |
| 306 | C2×C3×D4 | C2×D4 | 1 | 2 | yes | — |
| 307 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 308 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 309 | C22×C3×C4 | — | 2 | 2 | no | — |
| 310 | C22×C3×C4 | — | 2 | 2 | no | — |
| 311 | C22×C3×C4 | — | 2 | 4 | no | — |
| 312 | C22×C3×C4 | — | 2 | 4 | no | — |
| 313 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 314 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 315 | C2×#67 | — | 2 | 2 | no | — |
| 316 | C2×#67 | — | 2 | 2 | no | — |
| 317 | C2×#67 | — | 2 | 4 | no | — |
| 318 | C2×#67 | — | 2 | 2 | no | — |
| 319 | C2×#67 | C2×D4 | 1 | 4 | yes | — |
| 320 | C22×Dic3 | — | 2 | 2 | no | — |
| 321 | C22×Dic3 | — | 2 | 2 | no | — |
| 322 | C22×Dic3 | — | 2 | 4 | no | — |
| 323 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | #239 | — | 2 | 4 | no | — |
| 325 | #239 | — | 4 | 2 | no | — |
| 326 | D3×Q8 | — | 2 | 4 | no | — |
| 327 | D3×Q8 | — | 4 | 2 | no | — |
| 328 | #237 | — | 2 | 4 | no | — |
| 329 | #237 | — | 4 | 2 | no | — |
| 330 | #237 | — | 4 | 8 | no | — |
| 331 | D3×D4 | — | 2 | 4 | no | — |
| 332 | D3×D4 | — | 4 | 2 | no | — |
| 333 | D3×D4 | — | 4 | 8 | no | — |
| 334 | #235 | — | 2 | 4 | no | — |
| 335 | #235 | — | 2 | 4 | no | — |
| 336 | #235 | — | 4 | 8 | no | — |
| 337 | C2×D12 | — | 2 | 2 | no | — |
| 338 | C2×D12 | C24 | 1 | 2 | yes | — |
| 339 | C2×C4×D3 | — | 2 | 2 | no | — |
| 340 | C2×C4×D3 | — | 2 | 2 | no | — |
| 341 | C2×C4×D3 | — | 2 | 2 | no | — |
| 342 | C2×C4×D3 | — | 2 | 2 | no | — |
| 343 | C2×C4×D3 | — | 2 | 2 | no | — |
| 344 | C2×C4×D3 | — | 4 | 8 | no | — |
| 345 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 346 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 347 | C2×Dic6 | — | 2 | 2 | no | — |
| 348 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 349 | C3×Q16 | — | 2 | 8 | no | — |
| 350 | C3×Q16 | — | 2 | 4 | no | — |
| 351 | C3×Q16 | — | 2 | 4 | no | — |
| 352 | C3×Q16 | C2×D4 | 1 | 4 | yes | — |
| 353 | C3×SD16 | — | 2 | 8 | no | — |
| 354 | C3×SD16 | C2×D4 | 1 | 8 | yes | — |
| 355 | C3×D8 | C2×D4 | 1 | 4 | yes | — |
| 356 | C3×M16 | — | 2 | 2 | no | — |
| 357 | C3×M16 | — | 2 | 4 | no | — |
| 358 | C2×C3×C8 | — | 2 | 4 | no | — |
| 359 | C2×C3×C8 | C2×D4 | 1 | 4 | yes | — |
| 360 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 361 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 362 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 363 | #217 | — | 2 | 4 | no | — |
| 364 | #217 | — | 2 | 4 | no | — |
| 365 | #217 | C2×D4 | 1 | 4 | yes | — |
| 366 | #217 | C2×D4 | 1 | 2 | yes | — |
| 367 | #216 | — | 2 | 4 | no | — |
| 368 | #216 | — | 4 | 4 | no | — |
| 369 | #215 | — | 2 | 4 | no | — |
| 370 | #215 | — | 4 | 4 | no | — |
| 371 | #214 | — | 2 | 4 | no | — |
| 372 | #213 | — | 2 | 4 | no | — |
| 373 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 374 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 375 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 376 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 377 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 378 | (C2×D3)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 379 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 380 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 381 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 382 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 383 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 384 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 385 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 386 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 387 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 388 | Dic3⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 389 | C4×Dic3 | — | 2 | 4 | no | — |
| 390 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 391 | #208 | — | 2 | 2 | no | — |
| 392 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 393 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 394 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 395 | Dic12 | — | 2 | 2 | no | — |
| 396 | D24 | — | 2 | 2 | no | — |
| 397 | #204 | — | 2 | 4 | no | — |
| 398 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 399 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 400 | 2−1+4 | — | 2 | 8 | no | — |
| 401 | 2−1+4 | — | 4 | 4 | no | — |
| 402 | C2×#41 | — | 2 | 2 | no | — |
| 403 | C2×#41 | — | 2 | 4 | no | — |
| 404 | C2×#41 | — | 3 | 2 | no | — |
| 405 | C2×#41 | — | 3 | 2 | no | — |
| 406 | C2×#41 | — | 3 | 2 | no | — |
| 407 | C2×#41 | — | 6 | 2 | no | — |
| 408 | C2×#41 | — | 6 | 2 | no | — |
| 409 | C2×#41 | — | 6 | 8 | no | — |
| 410 | C2×#41 | — | 12 | 4 | no | — |
| 411 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 412 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 413 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 414 | C22×Q8 | — | 2 | 2 | no | — |
| 415 | C22×Q8 | — | 3 | 2 | no | — |
| 416 | C22×Q8 | C22×D3 | 1 | 2 | yes | — |
| 417 | C22×Q8 | C22×D3 | 1 | 4 | yes | — |
| 418 | C22×D4 | — | 3 | 2 | no | — |
| 419 | C22×D4 | — | 6 | 2 | no | — |
| 420 | C23×C4 | — | 3 | 1 | no | — |
| 421 | C23×C4 | — | 6 | 2 | no | — |
| 422 | #137 | — | 2 | 8 | no | — |
| 423 | #137 | — | 2 | 16 | no | — |
| 424 | #137 | — | 6 | 8 | no | — |
| 425 | #137 | — | 6 | 8 | no | — |
| 426 | #137 | — | 12 | 4 | no | — |
| 427 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 428 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 429 | #135 | — | 2 | 8 | no | — |
| 430 | #135 | — | 6 | 8 | no | — |
| 431 | #135 | — | 6 | 4 | no | — |
| 432 | #135 | #67 | 1 | 8 | yes | complemented |
| 433 | C2×Q16 | — | 2 | 8 | no | — |
| 434 | C2×Q16 | — | 2 | 4 | no | — |
| 435 | C2×Q16 | — | 3 | 2 | no | — |
| 436 | C2×Q16 | — | 3 | 4 | no | — |
| 437 | C2×Q16 | — | 3 | 1 | no | — |
| 438 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 439 | C2×Q16 | C22×D3 | 1 | 4 | yes | — |
| 440 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 441 | C2×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 442 | C2×SD16 | — | 3 | 2 | no | — |
| 443 | C2×SD16 | — | 3 | 2 | no | — |
| 444 | C2×SD16 | — | 3 | 4 | no | — |
| 445 | C2×SD16 | — | 3 | 2 | no | — |
| 446 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 447 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 448 | C2×D8 | — | 3 | 2 | no | — |
| 449 | C2×D8 | — | 3 | 1 | no | — |
| 450 | C2×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 451 | #131 | — | 2 | 4 | no | — |
| 452 | C2×M16 | — | 3 | 1 | no | — |
| 453 | C2×M16 | — | 3 | 2 | no | — |
| 454 | C2×M16 | — | 3 | 2 | no | — |
| 455 | C2×M16 | — | 6 | 4 | no | — |
| 456 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 457 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 458 | C22×C8 | — | 3 | 1 | no | — |
| 459 | C22×C8 | C22×D3 | 1 | 2 | yes | — |
| 460 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 461 | C4⋊Q8 | — | 3 | 4 | no | — |
| 462 | C4⋊Q8 | — | 6 | 4 | no | — |
| 463 | #124 | — | 3 | 4 | no | — |
| 464 | #124 | — | 6 | 4 | no | — |
| 465 | #123 | — | 3 | 2 | no | — |
| 466 | #123 | — | 6 | 4 | no | — |
| 467 | #123 | — | 6 | 4 | no | — |
| 468 | #123 | — | 6 | 4 | no | — |
| 469 | #123 | — | 6 | 4 | no | — |
| 470 | C22⋊Q8 | — | 3 | 2 | no | — |
| 471 | C22⋊Q8 | — | 3 | 4 | no | — |
| 472 | C22⋊Q8 | — | 3 | 4 | no | — |
| 473 | C22⋊Q8 | — | 3 | 4 | no | — |
| 474 | C22⋊Q8 | — | 6 | 4 | no | — |
| 475 | C22⋊Q8 | — | 6 | 4 | no | — |
| 476 | C22⋊Q8 | — | 6 | 2 | no | — |
| 477 | C22⋊Q8 | — | 6 | 4 | no | — |
| 478 | C22⋊Q8 | — | 6 | 2 | no | — |
| 479 | C22⋊Q8 | — | 6 | 2 | no | — |
| 480 | C22⋊Q8 | — | 6 | 2 | no | — |
| 481 | C22⋊Q8 | — | 6 | 2 | no | — |
| 482 | #121 | — | 3 | 2 | no | — |
| 483 | #121 | — | 3 | 4 | no | — |
| 484 | #121 | — | 6 | 4 | no | — |
| 485 | #121 | — | 6 | 4 | no | — |
| 486 | #121 | — | 6 | 4 | no | — |
| 487 | #121 | — | 6 | 2 | no | — |
| 488 | #121 | — | 6 | 4 | no | — |
| 489 | #120 | — | 3 | 2 | no | — |
| 490 | #120 | — | 6 | 4 | no | — |
| 491 | C4×Q8 | — | 3 | 4 | no | — |
| 492 | C4×D4 | — | 3 | 4 | no | — |
| 493 | C4×D4 | — | 3 | 4 | no | — |
| 494 | C4×D4 | — | 6 | 4 | no | — |
| 495 | C4×D4 | — | 6 | 4 | no | — |
| 496 | C4×D4 | — | 6 | 4 | no | — |
| 497 | #117 | — | 3 | 1 | no | — |
| 498 | #117 | — | 6 | 2 | no | — |
| 499 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 500 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 501 | C2×C4⋊C4 | — | 6 | 4 | no | — |
| 502 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 503 | C2×C22⋊C4 | — | 6 | 4 | no | — |
| 504 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 505 | #106 | — | 3 | 2 | no | — |
| 506 | #106 | — | 3 | 2 | no | — |
| 507 | C4⋊C8 | — | 3 | 4 | no | — |
| 508 | #103 | — | 3 | 4 | no | — |
| 509 | #103 | — | 3 | 4 | no | — |
| 510 | #103 | — | 3 | 4 | no | — |
| 511 | #103 | — | 3 | 4 | no | — |
| 512 | #102 | — | 3 | 4 | no | — |
| 513 | #102 | — | 3 | 4 | no | — |
| 514 | C22⋊C8 | — | 3 | 4 | no | — |
| 515 | C22⋊C8 | — | 3 | 4 | no | — |
| 516 | #97 | — | 3 | 2 | no | — |
| 517 | C4×C8 | — | 3 | 2 | no | — |
| 518 | C23×C3 | — | 2 | 2 | no | — |
| 519 | C23×C3 | C22×D4 | 1 | 2 | yes | — |
| 520 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 521 | C22×D3 | — | 2 | 2 | no | — |
| 522 | C22×D3 | — | 2 | 2 | no | — |
| 523 | C22×D3 | — | 4 | 2 | no | — |
| 524 | C22×D3 | — | 4 | 4 | no | — |
| 525 | C22×D3 | — | 4 | 4 | no | — |
| 526 | C22×D3 | — | 8 | 2 | no | — |
| 527 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 528 | C3×Q8 | — | 2 | 2 | no | — |
| 529 | C3×Q8 | — | 2 | 2 | no | — |
| 530 | C3×Q8 | — | 2 | 4 | no | — |
| 531 | C3×Q8 | — | 2 | 4 | no | — |
| 532 | C3×Q8 | — | 4 | 8 | no | — |
| 533 | C3×Q8 | — | 4 | 4 | no | — |
| 534 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 535 | C3×D4 | — | 2 | 8 | no | — |
| 536 | C3×D4 | — | 2 | 4 | no | — |
| 537 | C3×D4 | — | 2 | 2 | no | — |
| 538 | C3×D4 | — | 2 | 2 | no | — |
| 539 | C3×D4 | — | 4 | 8 | no | — |
| 540 | C3×D4 | C22×D4 | 1 | 4 | yes | — |
| 541 | C2×C3×C4 | — | 2 | 2 | no | — |
| 542 | C2×C3×C4 | — | 2 | 8 | no | — |
| 543 | C2×C3×C4 | — | 2 | 2 | no | — |
| 544 | C2×C3×C4 | — | 2 | 2 | no | — |
| 545 | C2×C3×C4 | — | 2 | 4 | no | — |
| 546 | C2×C3×C4 | — | 4 | 8 | no | — |
| 547 | C2×C3×C4 | — | 4 | 8 | no | — |
| 548 | C2×C3×C4 | — | 4 | 4 | no | — |
| 549 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 550 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 551 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 552 | C2×C3×C4 | H(5,𝔽2) | 1 | 2 | yes | — |
| 553 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 554 | #67 | — | 4 | 4 | no | — |
| 555 | #67 | — | 4 | 4 | no | — |
| 556 | #67 | — | 4 | 4 | no | — |
| 557 | #67 | — | 4 | 4 | no | — |
| 558 | #67 | — | 8 | 4 | no | — |
| 559 | C2×Dic3 | — | 2 | 2 | no | — |
| 560 | C2×Dic3 | — | 2 | 4 | no | — |
| 561 | C2×Dic3 | — | 2 | 2 | no | — |
| 562 | C2×Dic3 | — | 4 | 4 | no | — |
| 563 | C2×Dic3 | — | 8 | 4 | no | — |
| 564 | C2×Dic3 | — | 8 | 2 | no | — |
| 565 | C2×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 566 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 567 | D12 | — | 2 | 2 | no | — |
| 568 | D12 | — | 2 | 2 | no | — |
| 569 | D12 | — | 4 | 4 | no | — |
| 570 | C4×D3 | — | 2 | 4 | no | — |
| 571 | C4×D3 | — | 2 | 2 | no | — |
| 572 | C4×D3 | — | 2 | 2 | no | — |
| 573 | C4×D3 | — | 4 | 4 | no | — |
| 574 | C4×D3 | — | 4 | 4 | no | — |
| 575 | C4×D3 | — | 4 | 4 | no | — |
| 576 | Dic6 | — | 2 | 2 | no | — |
| 577 | Dic6 | — | 2 | 2 | no | — |
| 578 | Dic6 | — | 4 | 4 | no | — |
| 579 | C3×C8 | — | 2 | 2 | no | — |
| 580 | C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 581 | C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 582 | C3⋊C8 | — | 2 | 2 | no | — |
| 583 | C3⋊C8 | — | 2 | 2 | no | — |
| 584 | C24 | — | 3 | 1 | no | — |
| 585 | C24 | — | 6 | 2 | no | — |
| 586 | #41 | — | 2 | 4 | no | — |
| 587 | #41 | — | 2 | 2 | no | — |
| 588 | #41 | — | 2 | 2 | no | — |
| 589 | #41 | — | 2 | 8 | no | — |
| 590 | #41 | — | 4 | 4 | no | — |
| 591 | #41 | — | 4 | 8 | no | — |
| 592 | #41 | — | 4 | 16 | no | — |
| 593 | #41 | — | 6 | 4 | no | — |
| 594 | #41 | — | 6 | 4 | no | — |
| 595 | #41 | — | 6 | 4 | no | — |
| 596 | #41 | — | 6 | 4 | no | — |
| 597 | #41 | — | 12 | 8 | no | — |
| 598 | #41 | — | 12 | 2 | no | — |
| 599 | #41 | — | 12 | 8 | no | — |
| 600 | #41 | — | 12 | 2 | no | — |
| 601 | #41 | C2×#67 | 1 | 8 | yes | — |
| 602 | C2×Q8 | — | 2 | 2 | no | — |
| 603 | C2×Q8 | — | 2 | 4 | no | — |
| 604 | C2×Q8 | — | 2 | 8 | no | — |
| 605 | C2×Q8 | — | 2 | 4 | no | — |
| 606 | C2×Q8 | — | 2 | 4 | no | — |
| 607 | C2×Q8 | — | 3 | 2 | no | — |
| 608 | C2×Q8 | — | 4 | 4 | no | — |
| 609 | C2×Q8 | — | 4 | 8 | no | — |
| 610 | C2×Q8 | — | 6 | 2 | no | — |
| 611 | C2×Q8 | — | 6 | 4 | no | — |
| 612 | C2×Q8 | — | 12 | 2 | no | — |
| 613 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 614 | C2×Q8 | C23×D3 | 1 | 4 | yes | — |
| 615 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 616 | C2×D4 | — | 2 | 2 | no | — |
| 617 | C2×D4 | — | 2 | 4 | no | — |
| 618 | C2×D4 | — | 3 | 4 | no | — |
| 619 | C2×D4 | — | 3 | 2 | no | — |
| 620 | C2×D4 | — | 6 | 2 | no | — |
| 621 | C2×D4 | — | 6 | 2 | no | — |
| 622 | C2×D4 | — | 6 | 4 | no | — |
| 623 | C2×D4 | — | 6 | 2 | no | — |
| 624 | C2×D4 | — | 6 | 2 | no | — |
| 625 | C2×D4 | — | 6 | 4 | no | — |
| 626 | C2×D4 | — | 12 | 2 | no | — |
| 627 | C2×D4 | — | 12 | 8 | no | — |
| 628 | C2×D4 | D3×D4 | 1 | 2 | yes | — |
| 629 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 630 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 631 | C22×C4 | — | 2 | 2 | no | — |
| 632 | C22×C4 | — | 2 | 2 | no | — |
| 633 | C22×C4 | — | 2 | 4 | no | — |
| 634 | C22×C4 | — | 2 | 4 | no | — |
| 635 | C22×C4 | — | 3 | 1 | no | — |
| 636 | C22×C4 | — | 3 | 2 | no | — |
| 637 | C22×C4 | — | 3 | 2 | no | — |
| 638 | C22×C4 | — | 6 | 2 | no | — |
| 639 | C22×C4 | — | 6 | 2 | no | — |
| 640 | C22×C4 | — | 6 | 2 | no | — |
| 641 | C22×C4 | — | 6 | 4 | no | — |
| 642 | C22×C4 | — | 6 | 2 | no | — |
| 643 | C22×C4 | — | 6 | 2 | no | — |
| 644 | C22×C4 | — | 6 | 2 | no | — |
| 645 | C22×C4 | — | 6 | 2 | no | — |
| 646 | C22×C4 | — | 12 | 8 | no | — |
| 647 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 648 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 649 | Q16 | — | 2 | 8 | no | — |
| 650 | Q16 | — | 2 | 4 | no | — |
| 651 | Q16 | — | 2 | 4 | no | — |
| 652 | Q16 | — | 6 | 4 | no | — |
| 653 | Q16 | — | 6 | 2 | no | — |
| 654 | Q16 | — | 12 | 4 | no | — |
| 655 | Q16 | C2×#67 | 1 | 4 | yes | — |
| 656 | SD16 | — | 2 | 8 | no | — |
| 657 | SD16 | — | 6 | 4 | no | — |
| 658 | SD16 | — | 6 | 4 | no | — |
| 659 | SD16 | — | 6 | 4 | no | — |
| 660 | SD16 | — | 12 | 4 | no | — |
| 661 | SD16 | C2×#67 | 1 | 8 | yes | — |
| 662 | D8 | — | 6 | 4 | no | — |
| 663 | D8 | — | 6 | 2 | no | — |
| 664 | D8 | C2×#67 | 1 | 4 | yes | — |
| 665 | M16 | — | 2 | 2 | no | — |
| 666 | M16 | — | 2 | 4 | no | — |
| 667 | M16 | — | 6 | 2 | no | — |
| 668 | M16 | — | 6 | 4 | no | — |
| 669 | M16 | — | 6 | 4 | no | — |
| 670 | C2×C8 | — | 2 | 4 | no | — |
| 671 | C2×C8 | — | 3 | 2 | no | — |
| 672 | C2×C8 | — | 3 | 2 | no | — |
| 673 | C2×C8 | — | 6 | 2 | no | — |
| 674 | C2×C8 | C2×#67 | 1 | 4 | yes | — |
| 675 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 676 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 677 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 678 | C4⋊C4 | — | 3 | 2 | no | — |
| 679 | C4⋊C4 | — | 3 | 4 | no | — |
| 680 | C4⋊C4 | — | 3 | 4 | no | — |
| 681 | C4⋊C4 | — | 6 | 4 | no | — |
| 682 | C4⋊C4 | — | 6 | 4 | no | — |
| 683 | C4⋊C4 | — | 6 | 4 | no | — |
| 684 | C4⋊C4 | — | 6 | 4 | no | — |
| 685 | C4⋊C4 | — | 6 | 4 | no | — |
| 686 | C4⋊C4 | — | 6 | 2 | no | — |
| 687 | C4⋊C4 | — | 6 | 4 | no | — |
| 688 | C22⋊C4 | — | 3 | 2 | no | — |
| 689 | C22⋊C4 | — | 3 | 4 | no | — |
| 690 | C22⋊C4 | — | 3 | 4 | no | — |
| 691 | C22⋊C4 | — | 6 | 4 | no | — |
| 692 | C22⋊C4 | — | 6 | 4 | no | — |
| 693 | C22⋊C4 | — | 6 | 4 | no | — |
| 694 | C22⋊C4 | — | 6 | 4 | no | — |
| 695 | C22⋊C4 | — | 6 | 4 | no | — |
| 696 | C22⋊C4 | — | 6 | 4 | no | — |
| 697 | C22⋊C4 | — | 6 | 4 | no | — |
| 698 | C42 | — | 3 | 2 | no | — |
| 699 | C42 | — | 6 | 4 | no | — |
| 700 | C22×C3 | — | 2 | 2 | no | — |
| 701 | C22×C3 | — | 2 | 4 | no | — |
| 702 | C22×C3 | — | 2 | 4 | no | — |
| 703 | C22×C3 | — | 2 | 2 | no | — |
| 704 | C22×C3 | — | 4 | 2 | no | — |
| 705 | C22×C3 | — | 4 | 2 | no | — |
| 706 | C22×C3 | D42 | 1 | 2 | yes | — |
| 707 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 708 | C2×D3 | — | 2 | 2 | no | — |
| 709 | C2×D3 | — | 2 | 2 | no | — |
| 710 | C2×D3 | — | 2 | 2 | no | — |
| 711 | C2×D3 | — | 4 | 2 | no | — |
| 712 | C2×D3 | — | 4 | 2 | no | — |
| 713 | C2×D3 | — | 4 | 2 | no | — |
| 714 | C2×D3 | — | 8 | 2 | no | — |
| 715 | C2×D3 | — | 8 | 8 | no | — |
| 716 | C3×C4 | — | 2 | 4 | no | — |
| 717 | C3×C4 | — | 2 | 2 | no | — |
| 718 | C3×C4 | — | 4 | 4 | no | — |
| 719 | C3×C4 | D42 | 1 | 2 | yes | — |
| 720 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 721 | C3×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 722 | Dic3 | — | 2 | 4 | no | — |
| 723 | Dic3 | — | 2 | 2 | no | — |
| 724 | Dic3 | — | 4 | 4 | no | — |
| 725 | Dic3 | — | 4 | 2 | no | — |
| 726 | C23 | — | 2 | 2 | no | — |
| 727 | C23 | — | 3 | 2 | no | — |
| 728 | C23 | — | 6 | 2 | no | — |
| 729 | C23 | — | 6 | 2 | no | — |
| 730 | C23 | — | 12 | 2 | no | — |
| 731 | C23 | — | 12 | 4 | no | — |
| 732 | C23 | — | 12 | 4 | no | — |
| 733 | C23 | — | 24 | 2 | no | — |
| 734 | C23 | C2×D3×D4 | 1 | 2 | yes | — |
| 735 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 736 | Q8 | — | 2 | 2 | no | — |
| 737 | Q8 | — | 2 | 2 | no | — |
| 738 | Q8 | — | 2 | 4 | no | — |
| 739 | Q8 | — | 2 | 4 | no | — |
| 740 | Q8 | — | 4 | 8 | no | — |
| 741 | Q8 | — | 4 | 4 | no | — |
| 742 | Q8 | — | 6 | 2 | no | — |
| 743 | Q8 | — | 6 | 2 | no | — |
| 744 | Q8 | — | 12 | 4 | no | — |
| 745 | Q8 | C22×#67 | 1 | 4 | yes | — |
| 746 | D4 | — | 2 | 8 | no | — |
| 747 | D4 | — | 2 | 4 | no | — |
| 748 | D4 | — | 2 | 2 | no | — |
| 749 | D4 | — | 2 | 2 | no | — |
| 750 | D4 | — | 4 | 8 | no | — |
| 751 | D4 | — | 6 | 2 | no | — |
| 752 | D4 | — | 6 | 2 | no | — |
| 753 | D4 | — | 12 | 4 | no | — |
| 754 | D4 | — | 12 | 4 | no | — |
| 755 | D4 | — | 12 | 4 | no | — |
| 756 | D4 | — | 12 | 4 | no | — |
| 757 | D4 | — | 12 | 4 | no | — |
| 758 | D4 | — | 24 | 4 | no | — |
| 759 | D4 | C22×#67 | 1 | 4 | yes | — |
| 760 | C2×C4 | — | 2 | 2 | no | — |
| 761 | C2×C4 | — | 2 | 2 | no | — |
| 762 | C2×C4 | — | 2 | 2 | no | — |
| 763 | C2×C4 | — | 2 | 8 | no | — |
| 764 | C2×C4 | — | 2 | 4 | no | — |
| 765 | C2×C4 | — | 3 | 4 | no | — |
| 766 | C2×C4 | — | 3 | 2 | no | — |
| 767 | C2×C4 | — | 4 | 8 | no | — |
| 768 | C2×C4 | — | 4 | 8 | no | — |
| 769 | C2×C4 | — | 4 | 4 | no | — |
| 770 | C2×C4 | — | 6 | 2 | no | — |
| 771 | C2×C4 | — | 6 | 2 | no | — |
| 772 | C2×C4 | — | 6 | 2 | no | — |
| 773 | C2×C4 | — | 6 | 4 | no | — |
| 774 | C2×C4 | — | 6 | 4 | no | — |
| 775 | C2×C4 | — | 6 | 2 | no | — |
| 776 | C2×C4 | — | 12 | 4 | no | — |
| 777 | C2×C4 | — | 12 | 4 | no | — |
| 778 | C2×C4 | — | 12 | 4 | no | — |
| 779 | C2×C4 | — | 12 | 4 | no | — |
| 780 | C2×C4 | — | 24 | 4 | no | — |
| 781 | C2×C4 | — | 24 | 2 | no | — |
| 782 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 783 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 784 | C2×C4 | #1004 | 1 | 2 | yes | — |
| 785 | C2×C4 | C22×#67 | 1 | 2 | yes | — |
| 786 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 787 | C8 | — | 2 | 2 | no | — |
| 788 | C8 | — | 6 | 2 | no | — |
| 789 | C8 | — | 6 | 2 | no | — |
| 790 | C8 | C22×#67 | 1 | 2 | yes | — |
| 791 | C8 | C22×#67 | 1 | 2 | yes | — |
| 792 | C2×C3 | — | 2 | 2 | no | — |
| 793 | C2×C3 | — | 4 | 4 | no | — |
| 794 | C2×C3 | — | 4 | 2 | no | — |
| 795 | C2×C3 | C2×D42 | 1 | 1 | yes | characteristic |
| 796 | C2×C3 | #3586 | 1 | 2 | yes | — |
| 797 | D3 | — | 4 | 2 | no | — |
| 798 | D3 | — | 8 | 2 | no | — |
| 799 | C22 | — | 2 | 2 | no | — |
| 800 | C22 | — | 2 | 4 | no | — |
| 801 | C22 | — | 2 | 2 | no | — |
| 802 | C22 | — | 2 | 4 | no | — |
| 803 | C22 | — | 4 | 2 | no | — |
| 804 | C22 | — | 4 | 2 | no | — |
| 805 | C22 | — | 6 | 2 | no | — |
| 806 | C22 | — | 6 | 2 | no | — |
| 807 | C22 | — | 6 | 2 | no | — |
| 808 | C22 | — | 12 | 2 | no | — |
| 809 | C22 | — | 12 | 2 | no | — |
| 810 | C22 | — | 12 | 2 | no | — |
| 811 | C22 | — | 24 | 2 | no | — |
| 812 | C22 | — | 24 | 8 | no | — |
| 813 | C22 | D4×#67 | 1 | 2 | yes | — |
| 814 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 815 | C4 | — | 2 | 4 | no | — |
| 816 | C4 | — | 2 | 2 | no | — |
| 817 | C4 | — | 4 | 4 | no | — |
| 818 | C4 | — | 6 | 4 | no | — |
| 819 | C4 | — | 6 | 2 | no | — |
| 820 | C4 | — | 12 | 4 | no | — |
| 821 | C4 | — | 12 | 2 | no | — |
| 822 | C4 | D4×#67 | 1 | 2 | yes | — |
| 823 | C4 | C2×#1004 | 1 | 1 | yes | characteristic |
| 824 | C4 | C23×#67 | 1 | 1 | yes | characteristic |
| 825 | C3 | #61064 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 826 | C2 | — | 2 | 2 | no | — |
| 827 | C2 | — | 4 | 2 | no | — |
| 828 | C2 | — | 4 | 4 | no | — |
| 829 | C2 | — | 12 | 2 | no | — |
| 830 | C2 | — | 24 | 2 | no | — |
| 831 | C2 | #87211 | 1 | 2 | yes | — |
| 832 | C2 | C2×D4×#67 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×C3×#578 | C2 | semidirect |
| 2. #87295 | C2 | semidirect |
| 3. C2×#5768 | C2 | semidirect |
| 4. #84114 | C2 | semidirect |
| 5. #83996 | C2 | semidirect |
| 6. #83991 | C2 | semidirect |
| 7. #83981 | C2 | semidirect |
| 8. #83971 | C2 | semidirect |
| 9. #83921 | C2 | semidirect |
| 10. #83899 | C2 | semidirect |
| 11. #83888 | C2 | semidirect |
| 12. C2×#5189 | C2 | semidirect |
| 13. #83881 | C2 | semidirect |
| 14. #83800 | C2 | semidirect |
| 15. #83795 | C2 | semidirect |
| 17. C2×C3×2−1+4 | C22 | semidirect |
| 20. C2×C3×#137 | C22 | semidirect |
| 21. C2×C3×#137 | C22 | semidirect |
| 23. C2×C3×#135 | C22 | semidirect |
| 24. C22×C3×Q16 | C22 | semidirect |
| 25. C22×C3×Q16 | C22 | semidirect |
| 26. C2×C3×#131 | C22 | semidirect |
| 28. #5833 | C22 | semidirect |
| 30. #5829 | C22 | semidirect |
| 33. #5827 | C22 | semidirect |
| 39. #5816 | C22 | semidirect |
| 40. Q8×#67 | C22 | semidirect |
| 43. C2×#942 | C22 | semidirect |
| 51. #5239 | C22 | semidirect |
| 52. #5238 | C22 | semidirect |
| 53. #5234 | C22 | semidirect |
| 54. #5232 | C22 | semidirect |
| 55. #5228 | C22 | semidirect |
| 56. #5227 | C22 | semidirect |
| 57. C2×#835 | C22 | semidirect |
| 58. #5191 | C22 | semidirect |
| 59. #5190 | C22 | semidirect |
| 60. #5189 | C22 | semidirect |
| 61. #5189 | C22 | semidirect |
| 63. #5186 | C22 | semidirect |
| 64. #5185 | C22 | semidirect |
| 65. #5184 | C22 | semidirect |
| 66. #5183 | C22 | semidirect |
| 67. #5182 | C22 | semidirect |
| 69. #5169 | C22 | semidirect |
| 70. #5165 | C22 | semidirect |
| 71. #5162 | C22 | semidirect |
| 72. Dic3×SD16 | C22 | semidirect |
| 73. #5152 | C22 | semidirect |
| 74. #5137 | C22 | semidirect |
| 75. #5135 | C22 | semidirect |
| 76. #5133 | C22 | semidirect |
| 77. #5128 | C22 | semidirect |
| 79. #5119 | C22 | semidirect |
| 80. #5114 | C22 | semidirect |
| 81. #5111 | C22 | semidirect |
| 82. C2×#817 | C22 | semidirect |
| 83. #5101 | C22 | semidirect |
| 84. C2×#578 | D3 | semidirect |
| 124. C3×#135 | D4 | semidirect |
| 217. C2×2−1+4 | C2×D3 | semidirect |
| 224. C2×#137 | C2×D3 | semidirect |
| 225. C2×#137 | C2×D3 | semidirect |
| 231. C2×#135 | C2×D3 | semidirect |
| 232. C22×Q16 | C2×D3 | semidirect |
| 233. C22×Q16 | C2×D3 | semidirect |
| 234. C2×#131 | C2×D3 | semidirect |
| 432. #135 | #67 | semidirect |
| 825. C3 | #61064 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#578 | 2 |
| #87295 | 2 |
| C2×#5768 | 2 |
| #84114 | 2 |
| #83996 | 2 |
| #83991 | 2 |
| #83981 | 2 |
| #83971 | 2 |
| #83921 | 2 |
| #83899 | 2 |
| #83888 | 2 |
| C2×#5189 | 2 |
| #83881 | 2 |
| #83800 | 2 |
| #83795 | 2 |
| #61064 | 3 |