Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11718360 |
| Sylow | C13 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15758224, #15762158, #15762160, … |
| maximal normal subgroup of | #15758224, #15762158, #15762160, … |
| maximal quotient of | C2×#13114433, C2×#13114446, C2×#13114454, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 14926);