Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
114 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 26 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 |
|---|---|---|
| 1. #20266074 | C2 | semidirect |
| 2. #20266045 | C2 | semidirect |
| 8. #15692187 | C4 | semidirect |
| 10. C2×D8×C101 | C4 | semidirect |
| 53. C101 | #1339 | semidirect |
| 57. C2×D8 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20266074 | 2 |
| #20266045 | 2 |
| #20265427 | 2 |
| #1339 | 101 |