Finite Group DatabasebetaFinite Group Databasebeta| order | 1960 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C7 · Schur multiplier (H2) = C2 |
| direct product | C5×C7×C22⋊D7 |
| unambiguous semidirect product | C22⋊(C5×C7×D7) |
| Fitting | C22×C5×C72 ⋊ C2 |
| Hall | C5×C72 ⋊ D4 |
| Sylow | C72 ⋊ C5×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 140 |
595 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C7×D5×C22⋊D7, C5×#11716115, #72243393, … |
| maximal normal subgroup of | C7×D5×C22⋊D7, C5×#11716115, #72243393, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1960, 88);