Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | M16×D52 |
| Fitting | C4×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15757246, #15757250, #15757260, … |
| maximal normal subgroup of | #15757246, #15757250, #15757260, … |
| maximal quotient of | M16×D104, #15834351, M16×#6095, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13248);