Finite Group DatabasebetaFinite Group Databasebeta| order | 24256 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#20258590 |
| Sylow | C379 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12128 |
6088 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24256, 502);