Finite Group DatabasebetaFinite Group Databasebeta| order | 26272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#27190132 |
| Fitting | C2×C8×C821 ⋊ C2 |
| Sylow | C821 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13136 |
6580 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26272, 150);