Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#88186 |
| Fitting | C2×C4×D4×C13 ⋊ C2 |
| Sylow | C13 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15757540, #15757546, #15757554, … |
| maximal normal subgroup of | #15757540, #15757546, #15757554, … |
| maximal quotient of | C8×#88186, #15832502, #15832522, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13318);