Finite Group DatabasebetaFinite Group Databasebeta| order | 45679 |
| automorphism | ? |
| homology | Abelianization (H1) = C17 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C2687 ⋊ C17 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C2687 | C17 |
| LCS | G ▷ C2687 | |
| UCS | C1 | |
4 conjugacy classes of subgroups.
Polycyclic presentation:
17,2687|b^a=b^612175 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(45679, 1);