Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
444 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 133 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. #23752151 | C2 | semidirect |
| 3. #23752150 | C2 | semidirect |
| 5. #23752132 | C2 | semidirect |
| 6. #23752131 | C2 | semidirect |
| 92. C151 | #2817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012718 | 2 |
| #23752151 | 2 |
| #23752150 | 2 |
| #23752140 | 2 |
| #23752132 | 2 |
| #23752131 | 2 |
| #23752075 | 2 |
| C2×C22⋊Q8×C151 | 2 |
| #2817 | 151 |