Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×#11718618 |
| Fitting | C22×C13×C22⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ C2×#390 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15761741, #15761759, C4×#11718618, … |
| maximal normal subgroup of | #15761741, #15761759, C4×#11718618, … |
| maximal quotient of | C2×#13113064, C2×#13113072, C2×#13113073, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6964);