Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
338 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 3. C2×#18012658 | C2 | semidirect |
| 5. #23751980 | C2 | semidirect |
| 6. #23751980 | C2 | semidirect |
| 7. C2×#101×C151 | C2 | semidirect |
| 118. C2×D151 | #101 | semidirect |
| 134. C151 | #1901 | semidirect |
| 139. C2×#101 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D151 | 2 |
| C2×#18012715 | 2 |
| C2×#18012658 | 2 |
| #23752175 | 2 |
| #23751980 | 2 |
| C2×#101×C151 | 2 |
| #1901 | 151 |