Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
584 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#15692173 | C2 | semidirect |
| 3. C2×#15692172 | C2 | semidirect |
| 4. #20265140 | C2 | semidirect |
| 5. C2×#100×C101 | C2 | semidirect |
| 104. C101 | #1785 | semidirect |
| 108. C2×#100 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108073 | 2 |
| C2×#15692173 | 2 |
| C2×#15692172 | 2 |
| #20265140 | 2 |
| C2×#100×C101 | 2 |
| #1785 | 101 |