Finite Group DatabasebetaFinite Group Databasebeta| order | 21376 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C22×#19128826 |
| Fitting | C22×C42×C167 ⋊ C2 |
| Sylow | C167 ⋊ C22×#126 |
1320 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10688 |
5368 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21376, 17766);