Finite Group DatabasebetaFinite Group Databasebeta| order | 18016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22583066 |
| Fitting | C2×C8×C563 ⋊ C2 |
| Sylow | C563 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9008 |
4516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49113269, C4×#22583066, #49113440, … |
| maximal normal subgroup of | #49113269, C4×#22583066, #49113440, … |
| maximal quotient of | C2×#31824815, C4×#22583066, C2×(C2×D563)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18016, 150);