Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 141 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×C4×Dic302 | C2 | semidirect |
| 2. #23752528 | C2 | semidirect |
| 3. #23752494 | C2 | semidirect |
| 4. #23752409 | C2 | semidirect |
| 5. #23752350 | C2 | semidirect |
| 6. C4×#14558992 | C2 | semidirect |
| 7. #23752265 | C2 | semidirect |
| 66. Dic302 | #41 | semidirect |
| 83. C2×C4×C151 | SD16 | semidirect |
| 111. C151 | #3103 | semidirect |
| 194. C2×C4 | #14558992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic302 | 2 |
| #23752528 | 2 |
| #23752494 | 2 |
| #23752409 | 2 |
| #23752350 | 2 |
| C4×#14558992 | 2 |
| #23752265 | 2 |
| #532×C151 | 2 |
| #3103 | 151 |