Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | Q16×D53⋊C8 |
| unambiguous semidirect product | D53⋊(C8×Q16) |
| Sylow | C53 ⋊ C2×C8×Q16 |
734 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6784 |
476 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1101831);