Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
336 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 87 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. #20265200 | C2 | semidirect |
| 4. #20264946 | C2 | semidirect |
| 5. #343×C101 | C2 | semidirect |
| 78. Dic101 | #100 | semidirect |
| 86. C101 | #1800 | semidirect |
| 91. #343 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692217 | 2 |
| #20265200 | 2 |
| C2×#15692171 | 2 |
| #20264946 | 2 |
| #343×C101 | 2 |
| #1800 | 101 |