Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
292 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 23. C2×#3633 | Q8 | semidirect |
| 24. C2×Q8×C17 | C8 | semidirect |
| 29. C2×Dic34 | C8 | semidirect |
| 30. C2×Dic34 | C8 | semidirect |
| 94. C17 | #1984 | semidirect |
| 99. C2×Q8 | #3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#3633 | 2 |
| C2×C4×#3633 | 2 |
| (C2×#3633)⋊C4 | 2 |
| C2×Q8×#595 | 2 |
| #1984 | 17 |