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 ⋊ #3106 |
434 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^88,f^c=fg,h^c=h^881270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36524419, #36524421, #36524474, … |
| maximal normal subgroup of | #36524419, #36524421, #36524474, … |
| maximal quotient of | #36554463, #36557409, #36557414, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14568);