Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11718793 |
| Fitting | C22×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15768255, #15768258, #15768265, … |
| maximal normal subgroup of | #15768255, #15768258, #15768265, … |
| maximal quotient of | C2×#13113148, C2×#13113152, #15828730, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 12983);