Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#11718596 |
| Sylow | C13 ⋊ C2×#384 |
888 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#13112720, #15753013, #15753023, … |
| maximal normal subgroup of | C2×#13112720, #15753013, #15753023, … |
| maximal quotient of | C2×#13113066, C4×#11718596, C2×#13113101, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6911);