Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic281 |
| Sylow | C281 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
2840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095094, #100×Dic281, #49095098, … |
| maximal normal subgroup of | #49095094, #100×Dic281, #49095098, … |
| maximal quotient of | M16×#14555886, #49093584, #49093590, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 500);