Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22582814 |
| Sylow | C281 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
2828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095181, #49095183, #49095186, … |
| maximal normal subgroup of | #49095181, #49095183, #49095186, … |
| maximal quotient of | C2×#31823213, C2×#31823215, #49094049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 594);