Finite Group DatabasebetaFinite Group Databasebeta| order | 26272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#15692846 |
| unambiguous semidirect product | D821⋊(C22⋊C4) |
| unambiguous semidirect product | (C2×#15692846)⋊C22 |
| Fitting | C23×C821 ⋊ C4 |
| Sylow | C821 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6568 |
1660 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26272, 223);