Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#41×D13 |
| Fitting | C4×C13×#41 ⋊ C2 |
| Sylow | C13 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×#1476, D13×#1477, #15829290, … |
| maximal normal subgroup of | D13×#1476, D13×#1477, #15829290, … |
| maximal quotient of | C4×D13×#117, C42×D4×D13, C42×Q8×D13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17687);