Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×#11718047 |
| Sylow | C13 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15749748, #15749752, #15749783, … |
| maximal normal subgroup of | #15749748, #15749752, #15749783, … |
| maximal quotient of | C4×#11718047, C2×#13112663, #15753342, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 2785);