Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C89 ⋊ #1367 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=c,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^882872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441083, #36441084, #36441086, … |
| maximal normal subgroup of | #36441083, #36441084, #36441086, … |
| maximal quotient of | #36441166, #36441291, #36442094, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2574);