Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ #1439 |
780 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=d,b^a=bd,c^a=ce,c^b=cf,h^c=h^881804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446230, #36446240, #36446257, … |
| maximal normal subgroup of | #36446230, #36446240, #36446257, … |
| maximal quotient of | #36442349, #36442353, #36442355, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2752);