Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C349 ⋊ #126 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,349|b^2=de,c^2=d,b^a=bd,c^a=ce,f^c=f^3481754 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #126×D349, C2×#26013632, #36374671, … |
| maximal normal subgroup of | #126×D349, C2×#26013632, #36374671, … |
| maximal quotient of | #36374011, #36374026, #36374029, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 139);