Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11718762 |
| Sylow | C13 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15768088, #15768111, #15768113, … |
| maximal normal subgroup of | #15768088, #15768111, #15768113, … |
| maximal quotient of | C2×C8×#6099, C2×#13113119, C2×#13113125, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 12922);