Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#16864644 |
| Sylow | C271 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
2728 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46835168, C8×#16864644, #46835180, … |
| maximal normal subgroup of | #46835168, C8×#16864644, #46835180, … |
| maximal quotient of | C8×#16864644, #46835212, #46835214, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 642);