Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
186 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 19. #15692188 | C4 | semidirect |
| 20. #15692188 | C4 | semidirect |
| 21. #15692187 | C4 | semidirect |
| 22. #106×C101 | C4 | semidirect |
| 89. C101 | #1922 | semidirect |
| 107. #106 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20266184 | 2 |
| #20266142 | 2 |
| #20266053 | 2 |
| #20266047 | 2 |
| (C2×#87938)⋊C8 | 2 |
| #20265212 | 2 |
| #1922 | 101 |