Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#6094 |
| Fitting | C23×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15768145, #15768170, #15768176, … |
| maximal normal subgroup of | #15768145, #15768170, #15768176, … |
| maximal quotient of | C23×#88055, C22×C4×#6094, C23×#88060, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 19211);