Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C25 |
| direct product | C2×(C2×#6157)⋊C16 |
| Fitting | C22×C16×C53 ⋊ C4 |
| Sylow | C53 ⋊ C2×#1374 |
726 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
992 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1095688);