Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #405×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2957 |
452 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=f,e^2=g,f^2=g,b^a=be,d^a=dg,e^a=eg,h^a=h^88,e^b=eg,h^b=h^88,d^c=dg1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36470562, #36470566, #36470569, … |
| maximal normal subgroup of | #36470562, #36470566, #36470569, … |
| maximal quotient of | #36523887, #36523895, #36523903, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13428);