Finite Group DatabasebetaFinite Group Databasebeta| order | 28420 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C49 · Schur multiplier (H2) = C1 |
| direct product | C5×#1181⋊C49 |
| unambiguous semidirect product | #1181⋊(C5×C49) |
| unambiguous semidirect product | (C5×#1181)⋊C49 |
| derived, Sylow | C29 ⋊ C4×C5×C49 |
| Hall | C5×C29⋊C49 ⋊ C4 |
| Hall | C29⋊C49 ⋊ C4×C5 |
| Hall | C5×#1181 ⋊ C49 |
| Hall | C5×C29 ⋊ C4×C49 |
| Hall | #1181 ⋊ C5×C49 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7105 |
1015 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28420, 14);