Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 2. C4×#14559004 | C2 | semidirect |
| 3. #23752325 | C2 | semidirect |
| 4. #23752320 | C2 | semidirect |
| 5. #23752314 | C2 | semidirect |
| 6. #23752250 | C2 | semidirect |
| 7. #23752209 | C2 | semidirect |
| 8. C2×#97×C151 | C2 | semidirect |
| 10. #18012761 | C4 | semidirect |
| 30. #14559004 | C2×C4 | semidirect |
| 36. Dic604 | C2×C4 | semidirect |
| 37. #14558993 | C2×C4 | semidirect |
| 38. D1208 | C2×C4 | semidirect |
| 48. C2×C8×C151 | C2×C4 | semidirect |
| 89. C151 | #2943 | semidirect |
| 98. C2×#97 | D151 | semidirect |
| 132. C2×C8 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012761 | 2 |
| C4×#14559004 | 2 |
| #23752325 | 2 |
| #23752320 | 2 |
| #23752314 | 2 |
| #23752250 | 2 |
| #23752209 | 2 |
| C2×#97×C151 | 2 |
| #2943 | 151 |