Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
276 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 69 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. #23752239 | C2 | semidirect |
| 4. C2×#18012658 | C2 | semidirect |
| 6. #23751976 | C2 | semidirect |
| 7. #419×C151 | C2 | semidirect |
| 100. C151 | #2046 | semidirect |
| 104. #419 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558991 | 2 |
| #23752239 | 2 |
| #23752216 | 2 |
| C2×#18012658 | 2 |
| C2×#18012655 | 2 |
| #23751976 | 2 |
| #419×C151 | 2 |
| #2046 | 151 |