Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×SD16×C103 ⋊ C2 |
| Sylow | C103 ⋊ #463 |
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,103|b^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^102,g^b=g^102,e^c=ef733 conjugacy classes — view the full character table.
| maximal subgroup of | #463×D103, C2×#20268008, #27204595, … |
| maximal normal subgroup of | #463×D103, C2×#20268008, #27204595, … |
| maximal quotient of | #27194555, #27194569, #27194583, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 766);