Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
132 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 7. D101⋊C16 | C4 | semidirect |
| 9. #15692323 | C4 | semidirect |
| 13. #15692187 | C4 | semidirect |
| 14. #106×C101 | C4 | semidirect |
| 60. C101 | #1384 | semidirect |
| 74. #106 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D101⋊M32 | 2 |
| #20266187 | 2 |
| #20265212 | 2 |
| #1384 | 101 |