Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
372 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×Dic151⋊C8 | C2 | semidirect |
| 5. #23752081 | C2 | semidirect |
| 6. #23751974 | C2 | semidirect |
| 7. #340×C151 | C2 | semidirect |
| 12. #18012701 | C4 | semidirect |
| 67. D604 | C4⋊C4 | semidirect |
| 115. Dic151 | #102 | semidirect |
| 124. C151 | #1802 | semidirect |
| 132. #340 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012701 | 2 |
| C2×Dic151⋊C8 | 2 |
| C2×#18012661 | 2 |
| C2×#18012659 | 2 |
| #23752081 | 2 |
| #23751974 | 2 |
| #340×C151 | 2 |
| #1802 | 151 |