Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | C4×#41×#261 |
| Fitting | C4×C13×#41 ⋊ C4 |
| Sylow | C13 ⋊ C42×#41 |
4086 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #261×#3498 |
| maximal normal subgroup of | #261×#3498 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114100);