Finite Group DatabasebetaFinite Group DatabasebetaOrder 1216.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 43 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×#64543 | C2 | semidirect |
| 2. C2×#64525 | C2 | semidirect |
| 3. C2×#64516 | C2 | semidirect |
| 4. #10597341 | C2 | semidirect |
| 5. C19×#102 | C2 | semidirect |
| 6. (C2×D19)⋊C8 | C2 | semidirect |
| 7. #10597267 | C2 | semidirect |
| 27. D4×C19 | D4 | semidirect |
| 40. Dic38 | D4 | semidirect |
| 70. #102 | D19 | semidirect |
| 72. C19 | #449 | semidirect |
| 98. D4 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64543 | 2 |
| C2×#64525 | 2 |
| C2×#64516 | 2 |
| #10597341 | 2 |
| C19×#102 | 2 |
| (C2×D19)⋊C8 | 2 |
| #10597267 | 2 |
| #449 | 19 |