Finite Group DatabasebetaFinite Group Databasebeta| order | 26272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#15692846 |
| unambiguous semidirect product | D821⋊(C4⋊C4) |
| Fitting | C2×C4×C821 ⋊ C4 |
| Sylow | C821 ⋊ C2×C4⋊C4 |
92 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, 224);