Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2922 |
400 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^88,d^b=dg1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445119, #36445124, #36445130, … |
| maximal normal subgroup of | #36445119, #36445124, #36445130, … |
| maximal quotient of | #36551913, C4×#19151565, C4×#19151625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13154);