Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D13×#443 |
| Fitting | C13×#443 ⋊ C2 |
| Sylow | C13 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1335, #15772704, D13×#1336, … |
| maximal normal subgroup of | D13×#1335, #15772704, D13×#1336, … |
| maximal quotient of | C8×D8×D13, C8×SD16×D13, C8×Q16×D13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13396);