Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22582879 |
| Sylow | C281 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
4508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#31823208, C2×#31823210, C2×#31823211, … |
| maximal normal subgroup of | C2×#31823208, C2×#31823210, C2×#31823211, … |
| maximal quotient of | C2×#31823333, C2×#31823361, C2×#31823369, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 1093);