Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C4×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2280 |
1088 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,d^2=e,b^a=be,c^a=cf,h^b=h^881816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36444082, #36444090, #36444154, … |
| maximal normal subgroup of | #36444082, #36444090, #36444154, … |
| maximal quotient of | #36475527, #36475528, #36475541, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6891);