Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
272 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 8. #15692310 | C4 | semidirect |
| 11. #15692166 | C4 | semidirect |
| 12. #15692165 | C4 | semidirect |
| 13. #97×C101 | C4 | semidirect |
| 52. C101 | #1745 | semidirect |
| 65. #97 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20266136 | 2 |
| C42×#87938 | 2 |
| (C2×#87938)⋊C8 | 2 |
| #97×D101 | 2 |
| #1745 | 101 |