Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#16864637 |
| Fitting | C22×C8×C271 ⋊ C2 |
| Sylow | C271 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
4360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836056, #46836059, #46836082, … |
| maximal normal subgroup of | #46836056, #46836059, #46836082, … |
| maximal quotient of | C22×#22576070, C2×C4×#16864637, C22×(C2×D271)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1308);