Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
543 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 543 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 1. C2×C9×C4⋊Q8 | C2 | semidirect |
| 4. #10588906 | C2 | semidirect |
| 5. C2×#63394 | C2 | semidirect |
| 7. #10588201 | C2 | semidirect |
| 137. C2×C4⋊Q8 | D9 | semidirect |
| 314. C9 | #2005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×C4⋊Q8 | 2 |
| #10589918 | 2 |
| C2×#63505 | 2 |
| #10588906 | 2 |
| C2×#63394 | 2 |
| C2×#63364 | 2 |
| #10588201 | 2 |
| #71795 | 3 |