Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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×#18012673 | C2 | semidirect |
| 2. C2×#18012671 | C2 | semidirect |
| 6. #23752078 | C2 | semidirect |
| 7. #336×C151 | C2 | semidirect |
| 99. C151 | #2092 | semidirect |
| 107. #336 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012673 | 2 |
| C2×#18012671 | 2 |
| C2×#18012661 | 2 |
| #23752114 | 2 |
| #23752078 | 2 |
| #336×C151 | 2 |
| #2092 | 151 |