Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D271 |
| Fitting | C22×Q8×C271 ⋊ C2 |
| Sylow | C271 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
2740 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836286, #46836297, #391×D271, … |
| maximal normal subgroup of | #46836286, #46836297, #391×D271, … |
| maximal quotient of | C22×C4⋊C4×D271, C2×C4×Q8×D271, C22×#22576125, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1372);