Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
302 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 97 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. #11926586 | C2 | semidirect |
| 4. #11926414 | C2 | semidirect |
| 5. #11926312 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 21. C19×#104 | C4 | semidirect |
| 40. M16×C19 | C2×C4 | semidirect |
| 43. C42×C19 | C2×C4 | semidirect |
| 62. Q8×C19 | C4⋊C4 | semidirect |
| 66. D4×C19 | C4⋊C4 | semidirect |
| 135. #104 | Dic19 | semidirect |
| 138. C19 | #1859 | semidirect |
| 155. M16 | C2×Dic19 | semidirect |
| 171. C42 | C2×Dic19 | semidirect |
| 175. Q8 | C4⋊Dic19 | semidirect |
| 179. D4 | C4⋊Dic19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927027 | 2 |
| #11926586 | 2 |
| #11926545 | 2 |
| #11926414 | 2 |
| #11926312 | 2 |
| #11926304 | 2 |
| C2×C19×#104 | 2 |
| #1859 | 19 |