Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
504 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 177 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 |
|---|---|---|
| 48. C4×Dic19 | Q8 | semidirect |
| 114. C19 | #2399 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic38 | 2 |
| #11926475 | 2 |
| #11926474 | 2 |
| #11926464 | 2 |
| #11926463 | 2 |
| C4×Dic19⋊C4 | 2 |
| #11926390 | 2 |
| C2×C4×Q8×C19 | 2 |
| #2399 | 19 |