Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11718785 |
| Sylow | C13 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15769004, #15769006, #15769007, … |
| maximal normal subgroup of | #15769004, #15769006, #15769007, … |
| maximal quotient of | C2×#13113586, C2×#13113589, #15831902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13116);