Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 73 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×#10597395 | C2 | semidirect |
| 2. #11927108 | C2 | semidirect |
| 3. C2×#10597320 | C2 | semidirect |
| 4. #11926550 | C2 | semidirect |
| 5. C2×#10597280 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C2×C19×#104 | C2 | semidirect |
| 35. C2×Q8×C19 | D4 | semidirect |
| 37. C2×D4×C19 | D4 | semidirect |
| 55. C2×D76 | D4 | semidirect |
| 60. C42×C19 | D4 | semidirect |
| 65. C4⋊Dic19 | D4 | semidirect |
| 68. #64520 | D4 | semidirect |
| 135. C2×#104 | D19 | semidirect |
| 167. C19 | #2002 | semidirect |
| 174. C2×Q8 | D76 | semidirect |
| 191. C2×D4 | D76 | semidirect |
| 208. C42 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597395 | 2 |
| #11927108 | 2 |
| C2×#10597320 | 2 |
| #11926550 | 2 |
| C2×#10597280 | 2 |
| #11926304 | 2 |
| C2×C19×#104 | 2 |
| #2002 | 19 |