Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
148 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 10. #18012685 | C4 | semidirect |
| 63. C151 | #2176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012685 | 2 |
| C4×Dic604 | 2 |
| #23752039 | 2 |
| #23752016 | 2 |
| #23752015 | 2 |
| #23751988 | 2 |
| C4×Q16×C151 | 2 |
| #2176 | 151 |