Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
184 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 81. C103 | #2082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267839 | 2 |
| #20267800 | 2 |
| C2×#15692940 | 2 |
| #20267563 | 2 |
| #20267561 | 2 |
| #20267547 | 2 |
| #419×C103 | 2 |
| #2082 | 103 |