Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
474 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 93 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. C22×#14558993 | C2 | semidirect |
| 2. C22×#14558992 | C2 | semidirect |
| 4. C2×#18012659 | C2 | semidirect |
| 5. #23752117 | C2 | semidirect |
| 6. #23751966 | C2 | semidirect |
| 7. C2×#102×C151 | C2 | semidirect |
| 33. C2×Dic302 | D4 | semidirect |
| 49. C2×C151⋊C8 | D4 | semidirect |
| 63. C2×C8×C151 | D4 | semidirect |
| 85. C2×Dic151 | SD16 | semidirect |
| 135. C151 | #2014 | semidirect |
| 141. C2×#102 | D151 | semidirect |
| 197. C2×C8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558993 | 2 |
| C22×#14558992 | 2 |
| C2×#18012735 | 2 |
| C2×#18012659 | 2 |
| #23752117 | 2 |
| #23751966 | 2 |
| C2×#102×C151 | 2 |
| #2014 | 151 |