Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#88055 |
| Sylow | C13 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15749776, C8×#88055, #15752271, … |
| maximal normal subgroup of | #15749776, C8×#88055, #15752271, … |
| maximal quotient of | C4×#11718047, C4×#11718046, C8×#88055, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 4194);