Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11718096 |
| Sylow | C13 ⋊ C2×#366 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15750619, #15750620, #15750637, … |
| maximal normal subgroup of | #15750619, #15750620, #15750637, … |
| maximal quotient of | C2×#13112908, #15774561, #15774600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6287);