Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C22×#88124 |
| Sylow | C13 ⋊ C22×#125 |
1192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15754272, #15754388, #15771834, … |
| maximal normal subgroup of | #15754272, #15754388, #15771834, … |
| maximal quotient of | C22×#11718597, C22×#11718594, C22×#11718589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17763);