Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#11718619 |
| Fitting | C22×C13×C22⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ C2×#386 |
1576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15768260, #15769383, #15769549, … |
| maximal normal subgroup of | #15768260, #15769383, #15769549, … |
| maximal quotient of | C2×#13113058, C2×#13113071, C2×#13113072, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6926);