Finite Group DatabasebetaFinite Group Databasebeta| order | 30492 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C112 · Schur multiplier (H2) = C2×C11 |
| direct product | C2×C9×C112×D7 |
| Fitting | C2×C7×C9×C112 ⋊ C2 |
| derived, Sylow | C7 ⋊ C22×C9×C112 |
| Hall | C7×C9×C112 ⋊ C22 |
| Hall | C7×C112 ⋊ C22×C9 |
| Hall | C7×C9 ⋊ C22×C112 |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15246 |
10890 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30492, 215);