Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of #6095 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#6095 |
| Fitting | C23×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C23×SD16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15769722, #15769726, #15769749, … |
| maximal normal subgroup of | #15769722, #15769726, #15769749, … |
| maximal quotient of | C23×#88061, C23×#88056, C23×#88057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 19230);