Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
402 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 402 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 |
|---|---|---|
| 2. C2×#10597266 | C2 | semidirect |
| 3. C2×#10597266 | C2 | semidirect |
| 4. #11926299 | C2 | semidirect |
| 5. C19×#389 | C2 | semidirect |
| 39. C4⋊C4×C19 | D4 | semidirect |
| 99. #389 | D19 | semidirect |
| 121. C19 | #2041 | semidirect |
| 146. C4⋊C4 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597320 | 2 |
| C2×#10597266 | 2 |
| #11926299 | 2 |
| C19×#389 | 2 |
| #2041 | 19 |