Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
250 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 1. D4×Dic302 | C2 | semidirect |
| 2. #23752558 | C2 | semidirect |
| 3. #23752409 | C2 | semidirect |
| 4. #23751957 | C2 | semidirect |
| 5. #23751942 | C2 | semidirect |
| 6. D4⋊(C151⋊C8) | C2 | semidirect |
| 55. Dic302 | D8 | semidirect |
| 70. D4×C151 | SD16 | semidirect |
| 99. C151 | #1627 | semidirect |
| 164. D4 | #14558992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic302 | 2 |
| #23752558 | 2 |
| #23752409 | 2 |
| #23751957 | 2 |
| #23751942 | 2 |
| D4⋊(C151⋊C8) | 2 |
| #459×C151 | 2 |
| #1627 | 151 |