Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 79 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. #11927018 | C2 | semidirect |
| 3. #11926562 | C2 | semidirect |
| 4. #11926560 | C2 | semidirect |
| 5. C2×#10597280 | C2 | semidirect |
| 6. #11926300 | C2 | semidirect |
| 7. C19×H(3,ℤ/4) | C2 | semidirect |
| 19. #10597321 | C4 | semidirect |
| 20. #10597320 | C4 | semidirect |
| 38. C2×D76 | C2×C4 | semidirect |
| 42. C2×Dic38 | C2×C4 | semidirect |
| 50. C42×C19 | C2×C4 | semidirect |
| 51. C42×C19 | D4 | semidirect |
| 56. C4×Dic19 | D4 | semidirect |
| 117. H(3,ℤ/4) | D19 | semidirect |
| 141. C19 | #1911 | semidirect |
| 175. C42 | C4×D19 | semidirect |
| 176. C42 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927113 | 2 |
| #11927018 | 2 |
| #11926562 | 2 |
| #11926560 | 2 |
| C2×#10597280 | 2 |
| #11926300 | 2 |
| C19×H(3,ℤ/4) | 2 |
| #1911 | 19 |