Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11718788 |
| Fitting | C22×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ C2×#435 |
564 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15779820, #15861238, #15861245, … |
| maximal normal subgroup of | #15779820, #15861238, #15861245, … |
| maximal quotient of | C2×#13113663, C2×#13113677, C2×#13113670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13187);