Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#88172 |
| Fitting | C4×C13×Q16 ⋊ C2 |
| Sylow | C13 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #15832341, C8×#88172, #15832363, … |
| maximal normal subgroup of | #15832341, C8×#88172, #15832363, … |
| maximal quotient of | C8×#88172, #15832514, #15832534, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13330);