Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22576117 |
| Fitting | C2×C42×C271 ⋊ C2 |
| Sylow | C271 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
4360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46834676, #46834696, #46836059, … |
| maximal normal subgroup of | #46834676, #46834696, #46836059, … |
| maximal quotient of | C2×#31773743, C2×C4×(C2×D271)⋊C4, C2×C4×Dic271⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1003);