Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22582838 |
| Sylow | C281 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
4520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49094999, #49095001, C2×#31823219, … |
| maximal normal subgroup of | #49094999, #49095001, C2×#31823219, … |
| maximal quotient of | C2×#31823309, C2×C4×C22⋊Dic281, C2×C4×C4⋊Dic281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 1005);