Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C2×#120×#261 |
| unambiguous semidirect product | D13⋊(C4×#120) |
| Fitting | C2×C13×#120 ⋊ C4 |
| Sylow | C13 ⋊ C2×C4×#120 |
8582 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | #261×#3484 |
| maximal normal subgroup of | #261×#3484 |
| maximal quotient of | C2×#261×#453 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114138);