Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C213 |
| direct product | C2×#20288988 |
| Fitting | C2×C53×H(3,𝔽4) ⋊ C2 |
| Sylow | C53 ⋊ C2×#3540 |
7418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
1064 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1076865);