Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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×#10597315 | C2 | semidirect |
| 3. #11926891 | C2 | direct (N × H) |
| 4. C2×#10597278 | C2 | semidirect |
| 5. C2×C4×C8×C19 | C2 | semidirect |
| 17. #10597315 | C22 | semidirect |
| 18. C4×C8×C19 | C22 | semidirect |
| 19. #10597278 | C22 | semidirect |
| 79. C2×C4×C8 | D19 | semidirect |
| 80. C2×C19 | #486 | semidirect |
| 98. C4×C8 | C2×D19 | semidirect |
| 99. C19 | C2×#486 | semidirect |
| 155. C2 | #11926891 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597315 | 2 |
| C2×#10597320 | 2 |
| #11926891 | 2 |
| C2×#10597278 | 2 |
| C2×C4×C8×C19 | 2 |
| C2×#486 | 19 |