Finite Group DatabasebetaFinite Group Databasebeta| order | 25284 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C43 · Schur multiplier (H2) = C1 |
| direct product | ΓL(1,𝔽8)×Dic7×C43 |
| derived, Sylow | C72 ⋊ C3×C4×C43 |
| Hall | C7×Dic7×C43 ⋊ C3 |
| Hall | C7×ΓL(1,𝔽8)×C43 ⋊ C4 |
| Hall | C72×C43 ⋊ C3×C4 |
| Hall | C7×Dic7 ⋊ C3×C43 |
| Hall | C7×ΓL(1,𝔽8) ⋊ C4×C43 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3612 |
2150 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25284, 150);