Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#123×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2672 |
618 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,c^2=e,b^a=be,c^a=cf,d^a=def,h^a=h^88,c^b=cg,d^b=de1264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36761199, #36761200, #36761254, … |
| maximal normal subgroup of | #36761199, #36761200, #36761254, … |
| maximal quotient of | #36481734, #36481765, #36481805, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 10761);