Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 4. #23752508 | C2 | semidirect |
| 5. #23752423 | C2 | semidirect |
| 7. C4×Dic604 | C2 | semidirect |
| 77. C2×C4×C151 | Q16 | semidirect |
| 103. C151 | #3104 | semidirect |
| 181. C2×C4 | Dic604 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| C2×C4×Dic302 | 2 |
| #23752548 | 2 |
| #23752508 | 2 |
| #23752423 | 2 |
| #23752370 | 2 |
| C4×Dic604 | 2 |
| #431×C151 | 2 |
| #3104 | 151 |