Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
340 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 165 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. #23752621 | C2 | semidirect |
| 3. #23752614 | C2 | semidirect |
| 4. #23752610 | C2 | semidirect |
| 40. M16×C151 | Q8 | semidirect |
| 41. C2×C8×C151 | Q8 | semidirect |
| 75. C151 | #3163 | semidirect |
| 107. M16 | Dic302 | semidirect |
| 108. C2×C8 | Dic302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752840 | 2 |
| #23752621 | 2 |
| #23752614 | 2 |
| #23752610 | 2 |
| #23752254 | 2 |
| #23752250 | 2 |
| C2×#18012671 | 2 |
| #405×C151 | 2 |
| #3163 | 151 |