Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of #6095 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic52 |
| Sylow | C13 ⋊ C23×Q16 |
1464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15769729, #15769731, #15769755, … |
| maximal normal subgroup of | #15769729, #15769731, #15769755, … |
| maximal quotient of | C23×#88056, C23×#88058, C22×C4×Dic52, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 19233);