Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of #88066 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#88069 |
| Sylow | C13 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #15779994, #15779995, #15779997, … |
| maximal normal subgroup of | #15779994, #15779995, #15779997, … |
| maximal quotient of | C22×#11718084, C22×#11718156, C22×#11718081, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17622);