Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
476 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 94. C2×C67⋊C8 | Q16 | semidirect |
| 190. C67 | #10037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22570731 | 2 |
| #22570249 | 2 |
| #22570244 | 2 |
| #22561148 | 2 |
| #22558611 | 2 |
| #22558039 | 2 |
| C67×#1481 | 2 |
| #10037 | 67 |