Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | #41×Dic26 |
| Sylow | C13 ⋊ Q8×#41 |
1068 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15754961, #15754965, #15829794, … |
| maximal normal subgroup of | #15754961, #15754965, #15829794, … |
| maximal quotient of | #41×#6101, #41×C4⋊Dic13, #117×Dic26, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18090);