Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2935 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=f,f^2=g,b^a=be,h^a=h^88,d^b=dg,h^b=h^88,d^c=dg1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448901, #36448905, #36448915, … |
| maximal normal subgroup of | #36448901, #36448905, #36448915, … |
| maximal quotient of | #36526188, #36526198, #36526207, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13256);