Finite Group DatabasebetaFinite Group Databasebeta| order | 21389 |
| automorphism | ? |
| homology | Abelianization (H1) = C73 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | C293⋊C73 |
| Fitting, socle, derived, Sylow | C293 ⋊ C73 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C293 | C73 |
| LCS | G ▷ C293 | |
| UCS | C1 | |
4 conjugacy classes of subgroups.
Polycyclic presentation:
73,293|b^a=b^1677 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21389, 1);