Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3105 |
454 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^88,h^b=h^88,f^c=fg1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36524395, #36524399, #36524437, … |
| maximal normal subgroup of | #36524395, #36524399, #36524437, … |
| maximal quotient of | #36554431, #36557369, #36557370, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14561);