Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22576154 |
| Fitting | C2×C42×C271 ⋊ C2 |
| Sylow | C271 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
4348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46834731, #46834734, #46838912, … |
| maximal normal subgroup of | #46834731, #46834734, #46838912, … |
| maximal quotient of | C2×#31773765, C2×#31773781, C2×#31773788, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1074);