| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
| direct product | C2×(C2×D9)⋊C16 |
| Fitting | C22×C9×C16 ⋊ C2 |
| Sylow | C9 ⋊ C2×C22⋊C16 |
408 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 29962);