Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×D4⋊#3633 |
| unambiguous semidirect product | #595⋊(D4⋊C8) |
| Fitting | C4×D4×C17 ⋊ C8 |
| Sylow | C17 ⋊ C4×D4⋊C8 |
774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
152 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1116853);