Finite Group DatabasebetaFinite Group Databasebeta| order | 25284 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×#16813406 |
| derived | C7×C43 ⋊ C3×C4×C7 |
| Hall | C7×Dic301 ⋊ C3 |
| Hall | C7×#11744748 ⋊ C4 |
| Hall | C72×C43 ⋊ C3×C4 |
| Sylow | C72 ⋊ (C43⋊C3)⋊C4 |
| Sylow | C43 ⋊ C7×ΓL(1,𝔽8)⋊C4 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3612 |
784 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25284, 108);