Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
144 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 64 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. #23750554 | C2 | semidirect |
| 3. #23750553 | C2 | semidirect |
| 52. D149 | #368 | semidirect |
| 53. C149 | C2×#368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D149⋊#108 | 2 |
| #23750554 | 2 |
| #23750553 | 2 |
| C2×C16×D149 | 2 |
| C2×#368 | 149 |