Finite Group DatabasebetaFinite Group Databasebeta| order | 2060 |
| isoclinism | isoclinic class of D5×D103 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| direct product | D5×D103 |
| unambiguous semidirect product | (D5×C103)⋊C2 |
| unambiguous semidirect product | (C5×D103)⋊C2 |
| unambiguous semidirect product | D515⋊C2 |
| Fitting, socle, derived, Hall | C5×C103 ⋊ C22 |
| Sylow | C103 ⋊ C2×D5 |
| Sylow | C5 ⋊ C2×D103 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C5×C103 | C22 |
| LCS | G ▷ C5×C103 | |
| UCS | C1 | |
20 conjugacy classes of subgroups.
| minimal degree | μ(G) = 108 |
| transitive degree | μt(G) = 515 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | C7×D5×D103, D35×D103, D5×D721, … |
| maximal normal subgroup of | C7×D5×D103, D5×C11×D103, D5×C13×D103, … |
| maximal quotient of | C7×D5×D103, D35×D103, D5×D721, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2060, 8);