Finite Group DatabasebetaFinite Group Databasebeta| order | 18208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C569 ⋊ C2 |
| Sylow | C569 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4552 |
Polycyclic presentation:
2^5,569|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^5682854 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×D569, C2×#32911751, #49139396, … |
| maximal normal subgroup of | #104×D569, C2×#32911751, #49139396, … |
| maximal quotient of | #49139108, #49139111, #49139116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18208, 72);