Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#11718801 |
| Sylow | C13 ⋊ C2×#504 |
368 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15778017, #15778018, #15778023, … |
| maximal normal subgroup of | #15778017, #15778018, #15778023, … |
| maximal quotient of | C2×#13116433, C4×#11718801, C2×#13116450, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17609);