Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
556 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 169 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. #23752108 | C2 | semidirect |
| 3. #23752093 | C2 | semidirect |
| 5. #23752078 | C2 | semidirect |
| 7. C2×#125×C151 | C2 | semidirect |
| 79. C2×D151 | #125 | semidirect |
| 92. C151 | #2851 | semidirect |
| 94. C2×#125 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D151 | 2 |
| #23752108 | 2 |
| #23752093 | 2 |
| #23752083 | 2 |
| #23752078 | 2 |
| #23752069 | 2 |
| C2×#125×C151 | 2 |
| #2851 | 151 |