Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | M16×Dic26 |
| Sylow | C13 ⋊ Q8×M16 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15757253, #15757257, #15757267, … |
| maximal normal subgroup of | #15757253, #15757257, #15757267, … |
| maximal quotient of | M16×C4⋊Dic13, M16×#6101, #15861568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13463);