Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#6127 |
| Fitting | C2×C4×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#88045, C8×#88065, #15753634, … |
| maximal normal subgroup of | C8×#88045, C8×#88065, #15753634, … |
| maximal quotient of | C8×#88180, C8×#88126, C4×C8×C22⋊D13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13467);