Finite Group DatabasebetaFinite Group Databasebeta| order | 4672 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#14556659 |
| unambiguous semidirect product | D73⋊#106 |
| Fitting | C2×C8×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1168 |
316 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4672, 1557);