Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C337 ⋊ #117 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,337|a^2=e,c^2=d,b^a=bd,f^a=f^3362708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341061, #36341062, #36341065, … |
| maximal normal subgroup of | #36341061, #36341062, #36341065, … |
| maximal quotient of | #36341151, C4×C22⋊Dic337, C4×C4⋊Dic337, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 105);