Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
696 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 696 conjugacy classes of subgroups — too many to draw. Only its 189 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. C2×#10597321 | C2 | semidirect |
| 2. C2×#10597370 | C2 | semidirect |
| 4. #11926450 | C2 | semidirect |
| 5. #11926446 | C2 | semidirect |
| 6. #11926435 | C2 | semidirect |
| 7. #11926423 | C2 | semidirect |
| 8. #11926410 | C2 | semidirect |
| 9. C22×C42×C19 | C2 | semidirect |
| 56. C42×C19 | D4 | semidirect |
| 104. C22×C19 | #124 | semidirect |
| 125. C22×C42 | D19 | semidirect |
| 159. C19 | #2850 | semidirect |
| 192. C42 | C22⋊D19 | semidirect |
| 237. C22 | #10597321 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597321 | 2 |
| C2×#10597370 | 2 |
| C2×#10597376 | 2 |
| #11926450 | 2 |
| #11926446 | 2 |
| #11926435 | 2 |
| #11926423 | 2 |
| #11926410 | 2 |
| C22×C42×C19 | 2 |
| #2850 | 19 |