Order 18688.
1262 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 12. #17988455 | C4 | semidirect |
| 109. C42×C73 | C4⋊C4 | semidirect |
| 203. C73 | #14298 | semidirect |
| 304. C42 | #11924007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988455 | 2 |
| C2×#17988453 | 2 |
| #22608195 | 2 |
| #22608194 | 2 |
| #22608190 | 2 |
| #22608187 | 2 |
| #22608164 | 2 |
| C2×C4×C4⋊C4×C73 | 2 |
| #14298 | 73 |