Finite Group DatabasebetaFinite Group Databasebeta| order | 5887 |
| automorphism | ? |
| homology | Abelianization (H1) = C7 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C292 ⋊ C7 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C292 | C7 |
| LCS | G ▷ C292 | |
| UCS | C1 | |
12 conjugacy classes of subgroups.
Polycyclic presentation:
7,29^2|b^a=b^16,c^a=c^24127 conjugacy classes — view the full character table.
| maximal subgroup of | #26044457, #26044458, #26044461, … |
| maximal normal subgroup of | #26044457, #26044458, #26044461, … |
| maximal quotient of | C2×#19154635, C3×#19154635, C5×#19154635 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5887, 5);