Finite Group DatabasebetaFinite Group Databasebeta| order | 17504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic1094 |
| Sylow | C547 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17504 |
4388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46854731, #46854733, C4×#22576764, … |
| maximal normal subgroup of | #46854731, #46854733, C4×#22576764, … |
| maximal quotient of | C4×C4⋊Dic547, C4×Dic547⋊C4, #46854884, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17504, 112);