Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic271 |
| Sylow | C271 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
4360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46834593, #46834594, #46834598, … |
| maximal normal subgroup of | #46834593, #46834594, #46834598, … |
| maximal quotient of | C22×C271⋊#95, C2×C4×C4⋊Dic271, C2×#31773757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1000);