Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D271 |
| Fitting | C2×Q16×C271 ⋊ C2 |
| Sylow | C271 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
1918 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D271, #46838082, #362×D271, … |
| maximal normal subgroup of | #358×D271, #46838082, #362×D271, … |
| maximal quotient of | C2×#103×D271, C2×#107×D271, C4×Q16×D271, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1324);