Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22576151 |
| Sylow | C271 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
2728 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46837318, #46837320, #46837327, … |
| maximal normal subgroup of | #46837318, #46837320, #46837327, … |
| maximal quotient of | C2×#31773762, C2×#31773780, C2×#31773784, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1070);