Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 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. #20265587 | C2 | semidirect |
| 3. #20265585 | C2 | semidirect |
| 4. #20265577 | C2 | semidirect |
| 5. #20265575 | C2 | semidirect |
| 6. #20265574 | C2 | semidirect |
| 11. #499×C101 | C2 | semidirect |
| 43. #13108057 | Q8 | semidirect |
| 46. C8×D101 | Q8 | semidirect |
| 100. C101 | #3163 | semidirect |
| 105. #499 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265807 | 2 |
| #20265587 | 2 |
| #20265585 | 2 |
| #20265577 | 2 |
| #20265575 | 2 |
| #20265574 | 2 |
| #20265218 | 2 |
| #20265212 | 2 |
| #106×D101 | 2 |
| #20265131 | 2 |
| #499×C101 | 2 |
| #3163 | 101 |