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^c=f^3361700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341277, #117×D337, C2×#24924915, … |
| maximal normal subgroup of | #36341277, #117×D337, C2×#24924915, … |
| maximal quotient of | #36341150, C22⋊C4×Dic337, #36341156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 102);