Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C2×H(5,𝔽2)×#261 |
| unambiguous semidirect product | D13⋊(C4×H(5,𝔽2)) |
| Fitting | C2×C13×H(5,𝔽2) ⋊ C4 |
| Sylow | C13 ⋊ C2×C4×H(5,𝔽2) |
12378 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
238 conjugacy classes — view the full character table.
| maximal subgroup of | #261×#3484, #261×#3498, C2×#261×#453 |
| maximal normal subgroup of | #261×#3484, #261×#3498, C2×#261×#453 |
| maximal quotient of | #261×#3484, #261×#3498 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1116284);