Finite Group DatabasebetaFinite Group Databasebeta| order | 1960 |
| isoclinism | isoclinic class of #63305 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C7 · Schur multiplier (H2) = C2 |
| direct product | C7×#63306 |
| Hall | C5×C72 ⋊ D4 |
| Sylow | C72 ⋊ C22⋊D5 |
| Sylow | C5 ⋊ C7×D28 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C7 | D5×D7 |
| commutator, cosocle | C2×C5×C7 | C22×C7 |
| Frattini | C2 | C7×D5×D7 |
| Fitting, socle | C2×C5×C72 | C22 |
| hypocenter | C5×C7 | C7×D4 |
| LCS | G ▷ C2×C5×C7 ▷ C5×C7 | |
| UCS | C1 ◁ C2×C7 | |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 280 |
259 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1960, 62);