Finite Group DatabasebetaFinite Group Databasebeta| order | 6962 |
| automorphism | ? |
| homology | Abelianization (H1) = C2 · Schur multiplier (H2) = C59 |
| unambiguous semidirect product | C59⋊D59 |
| Fitting, socle, derived, Sylow | C592 ⋊ C2 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C592 | C2 |
| LCS | G ▷ C592 | |
| UCS | C1 | |
124 conjugacy classes of subgroups.
Polycyclic presentation:
2,59^2|b^a=b^58,c^a=c^581742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28358209, D592, C2×C59⋊D59, … |
| maximal normal subgroup of | #28358209, D592, C2×C59⋊D59, … |
| maximal quotient of | C59⋊Dic59, C2×C59⋊D59, C3×C59⋊D59, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6962, 4);