Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C28 |
| direct product | C22×(C2×#6157)⋊C8 |
| Fitting | C23×C8×C53 ⋊ C4 |
| Sylow | C53 ⋊ C22×#336 |
3086 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, 1103391);