Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
510 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×#14558989 | C2 | semidirect |
| 2. C2×#18012736 | C2 | semidirect |
| 3. C2×#18012659 | C2 | semidirect |
| 4. #23751967 | C2 | semidirect |
| 5. #390×C151 | C2 | semidirect |
| 31. C2×C151⋊C8 | D4 | semidirect |
| 36. C2×D4×C151 | D4 | semidirect |
| 66. C2×C4×C151 | D8 | semidirect |
| 97. C151 | #2011 | semidirect |
| 102. #390 | D151 | semidirect |
| 130. C2×D4 | D604 | semidirect |
| 163. C2×C4 | #14558989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558989 | 2 |
| C2×#18012736 | 2 |
| C2×#18012659 | 2 |
| #23751967 | 2 |
| #390×C151 | 2 |
| #2011 | 151 |