Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C215 |
| direct product | C23×D4×#261 |
| unambiguous semidirect product | D13⋊(C22×C4×D4) |
| Fitting | C23×D4×C13 ⋊ C4 |
| Sylow | C13 ⋊ C23×C4×D4 |
19998 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #261×#3484 |
| maximal normal subgroup of | #261×#3484 |
| maximal quotient of | #261×#3484, #261×#3498 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1116277);