Finite Group DatabasebetaFinite Group Databasebeta| order | 13950 |
| isoclinism | isoclinic class of D31 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C52×C9 · Schur multiplier (H2) = C5 |
| direct product | C52×C9×D31 |
| Fitting, Hall | C52×C9×C31 ⋊ C2 |
| derived, Sylow | C31 ⋊ C2×C52×C9 |
| Hall | C52×C31 ⋊ C2×C9 |
| Hall | C9×C31 ⋊ C2×C52 |
96 conjugacy classes of subgroups.
3825 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×C9×D5×D31, C9×C5⋊D5×D31, C52×D9×D31, … |
| maximal normal subgroup of | C5×C9×D5×D31, C9×C5⋊D5×D31, C52×D9×D31, … |
| maximal quotient of | C52×C9×Dic31, C2×C52×C9×D31 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13950, 78);