Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22582815 |
| Sylow | C281 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
4508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093396, #49093397, #49093398, … |
| maximal normal subgroup of | #49093396, #49093397, #49093398, … |
| maximal quotient of | C2×#31823214, C2×#31823216, #49094051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 595);