Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
162 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 11. #15692165 | C4 | semidirect |
| 12. #15692165 | C4 | semidirect |
| 13. C4×#11717579 | C4 | semidirect |
| 14. C4×C8×C101 | C4 | semidirect |
| 59. C101 | #1841 | semidirect |
| 73. C4×C8 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20266059 | 2 |
| #20266048 | 2 |
| #20266046 | 2 |
| #20266045 | 2 |
| C4×#13108057 | 2 |
| #1841 | 101 |