Finite Group DatabasebetaFinite Group Databasebeta| order | 8433 |
| automorphism | ? |
| homology | Abelianization (H1) = C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C937 ⋊ C9 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C937 | C9 |
| LCS | G ▷ C937 | |
| UCS | C1 | |
6 conjugacy classes of subgroups.
Polycyclic presentation:
3^2,937|a^3=b,c^a=c^924,c^b=c^614113 conjugacy classes — view the full character table.
| maximal subgroup of | #22554625⋊C2, C2×#22554625, C3×#22554625, … |
| maximal normal subgroup of | #22554625⋊C2, C2×#22554625, C3×#22554625 |
| maximal quotient of | C2×#22554625, #38760662, C3×#22554625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8433, 3);