Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4⋊C4×Dic26 |
| Sylow | C13 ⋊ Q8×C4⋊C4 |
568 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15757092, #15757096, #15757120, … |
| maximal normal subgroup of | #15757092, #15757096, #15757120, … |
| maximal quotient of | C4⋊C4×#6101, C4⋊C4×C4⋊Dic13, #95×Dic26, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7425);