Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | #120×#88324 |
| Sylow | C53 ⋊ C8×#120 |
1786 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
476 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1106378);