Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
336 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 91. Dic202 | Q16 | semidirect |
| 113. C101 | #3363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265907 | 2 |
| #20265905 | 2 |
| #20265529 | 2 |
| #20265526 | 2 |
| #20265471 | 2 |
| #20265388 | 2 |
| #20265386 | 2 |
| #20265301 | 2 |
| #20265271 | 2 |
| C4×#13108064 | 2 |
| #477×C101 | 2 |
| #3363 | 101 |