Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719329 |
| Fitting | C2×C13×C22⋊Q8 ⋊ C2 |
| Sylow | C13 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | #15754368, #15828902, #15829021, … |
| maximal normal subgroup of | #15754368, #15828902, #15829021, … |
| maximal quotient of | C2×#13117231, C2×#13117272, C2×#13117294, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17778);