Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
442 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×C42×D19 | C2 | semidirect |
| 3. C2×#10597294 | C2 | semidirect |
| 4. #11926507 | C2 | semidirect |
| 5. #11926305 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C2×C19×#104 | C2 | semidirect |
| 13. #10597392 | C4 | semidirect |
| 14. #10597384 | C4 | semidirect |
| 32. C2×Q8×C19 | C2×C4 | semidirect |
| 34. C2×D4×C19 | C2×C4 | semidirect |
| 53. C42×C19 | D4 | semidirect |
| 57. C4⋊Dic19 | C2×C4 | semidirect |
| 62. C4×Dic19 | D4 | semidirect |
| 114. C2×D19 | #104 | semidirect |
| 127. C2×#104 | D19 | semidirect |
| 156. C19 | #1896 | semidirect |
| 162. C2×Q8 | C4×D19 | semidirect |
| 165. C2×D4 | C4×D19 | semidirect |
| 195. C42 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927051 | 2 |
| C2×C42×D19 | 2 |
| C2×#10597294 | 2 |
| #11926507 | 2 |
| #11926305 | 2 |
| #11926304 | 2 |
| C2×C19×#104 | 2 |
| #1896 | 19 |