Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
676 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 197 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 |
|---|---|---|
| 1. C2×#10597315 | C2 | semidirect |
| 2. C2×#10597370 | C2 | semidirect |
| 3. #11926480 | C2 | semidirect |
| 5. #11926413 | C2 | semidirect |
| 6. C4×C4⋊Dic19 | C2 | semidirect |
| 27. C2×D4×C19 | Q8 | semidirect |
| 44. C4⋊Dic19 | D4 | semidirect |
| 83. C4×C19 | C22⋊Q8 | semidirect |
| 116. C19 | #2542 | semidirect |
| 122. C2×D4 | Dic38 | semidirect |
| 177. C4 | #10597370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597315 | 2 |
| C2×#10597370 | 2 |
| #11926480 | 2 |
| #11926447 | 2 |
| #11926413 | 2 |
| C4×C4⋊Dic19 | 2 |
| C2×C4×D4×C19 | 2 |
| #2542 | 19 |