Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#22582820 |
| Fitting | C2×D8×C281 ⋊ C2 |
| Sylow | C281 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
1982 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49097147, C4×#22582820, #49097176, … |
| maximal normal subgroup of | #49097147, C4×#22582820, #49097176, … |
| maximal quotient of | C2×#31823263, C2×#31823264, C2×#31823288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 969);