Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C4×#19098749 |
| Fitting | C4×#120×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×B(4,𝔽2) |
1910 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2528 |
2248 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 175548);