Finite Group DatabasebetaFinite Group Databasebeta| order | 6962 |
| automorphism | Aut(G) order 11911982 |
| homology | Abelianization (H1) = C2 · Schur multiplier (H2) = C1 |
| dihedral | D3481 |
| unambiguous semidirect product | C3481⋊C2 |
| Fitting, derived, Sylow | C3481 ⋊ C2 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C1 | G |
| commutator, Fitting, hypocenter | C3481 | C2 |
| Frattini, socle | C59 | D59 |
| LCS | G ▷ C3481 | |
| UCS | C1 | |
6 conjugacy classes of subgroups.
Polycyclic presentation:
2,59^2|b^59=c,b^a=b^58c^58,c^a=c^581742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3481, C3×D3481, D10443, … |
| maximal normal subgroup of | C2×D3481, C3×D3481, C5×D3481 |
| maximal quotient of | Dic3481, C2×D3481, C3×D3481, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6962, 1);