Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11718316 |
| Sylow | C13 ⋊ C2×#387 |
712 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15762966, #15762971, C4×#11718316, … |
| maximal normal subgroup of | #15762966, #15762971, C4×#11718316, … |
| maximal quotient of | C2×#13113062, C2×#13113067, C2×#13113070, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6937);