Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of #6095 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#88057 |
| Sylow | C13 ⋊ C22×#106 |
600 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15768813, #15768815, #15768823, … |
| maximal normal subgroup of | #15768813, #15768815, #15768823, … |
| maximal quotient of | C22×#11718049, C2×#13113592, C2×#13113607, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13082);