Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
296 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 2. #20266054 | C2 | semidirect |
| 10. #15692214 | C4 | semidirect |
| 11. C22⋊C4×D101 | C4 | semidirect |
| 13. #117×C101 | C4 | semidirect |
| 71. C101 | #1828 | semidirect |
| 79. #117 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692314 | 2 |
| #20266054 | 2 |
| #20265651 | 2 |
| #1828 | 101 |