Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
360 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 3. C2×#15692310 | C2 | semidirect |
| 4. #20266043 | C2 | semidirect |
| 7. C2×D101⋊C8 | C4 | semidirect |
| 11. #15692312 | C4 | semidirect |
| 61. #11717581 | C22⋊C4 | semidirect |
| 71. C2×D101 | #97 | semidirect |
| 85. C101 | #1752 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D101⋊C8 | 2 |
| C2×#15692312 | 2 |
| C2×#15692310 | 2 |
| #20266043 | 2 |
| #20265024 | 2 |
| #1752 | 101 |