Finite Group DatabasebetaFinite Group Databasebeta| order | 10878 |
| isoclinism | isoclinic class of C37⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C49 · Schur multiplier (H2) = C1 |
| direct product | C2×C49×C37⋊C3 |
| unambiguous semidirect product | (C2×C37)⋊(C3×C49) |
| Fitting, Hall | C2×C37×C49 ⋊ C3 |
| derived, Sylow | C37 ⋊ C2×C3×C49 |
| Hall | C37×C49 ⋊ C2×C3 |
| Hall | C2×C37 ⋊ C3×C49 |
24 conjugacy classes of subgroups.
1470 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C49×Dic37⋊C3, C37⋊C3×Dic49, #36344151, … |
| maximal normal subgroup of | C49×Dic37⋊C3, C37⋊C3×Dic49, #36344151, … |
| maximal quotient of | C4×C49×C37⋊C3, C22×C49×C37⋊C3, C2×C49×#66524, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10878, 14);