Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×#95×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2318 |
568 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,d^2=f,b^a=be,c^a=cf,d^a=de,h^a=h^88,c^b=ce,h^c=h^881804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36521947, #36521951, #36521962, … |
| maximal normal subgroup of | #36521947, #36521951, #36521962, … |
| maximal quotient of | #36475693, #36475700, #36475711, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7144);