Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
384 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 145 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. #23752507 | C2 | semidirect |
| 4. #23752422 | C2 | semidirect |
| 6. C4×#14558994 | C2 | semidirect |
| 78. C2×C4×C151 | Q16 | semidirect |
| 103. C151 | #3104 | semidirect |
| 181. C2×C4 | #14558994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752547 | 2 |
| #23752507 | 2 |
| #23752422 | 2 |
| #23752368 | 2 |
| C4×#14558994 | 2 |
| #23752265 | 2 |
| C2×C4×Q8×C151 | 2 |
| #3104 | 151 |