Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 67 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×#18012674 | C2 | semidirect |
| 3. #23752211 | C2 | semidirect |
| 4. C2×#18012659 | C2 | semidirect |
| 5. C2×#18012655 | C2 | semidirect |
| 6. #23752180 | C2 | semidirect |
| 7. #343×C151 | C2 | semidirect |
| 116. C151 | #2051 | semidirect |
| 124. #343 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012767 | 2 |
| C2×#18012674 | 2 |
| #23752211 | 2 |
| C2×#18012659 | 2 |
| C2×#18012655 | 2 |
| #23752180 | 2 |
| #343×C151 | 2 |
| #2051 | 151 |