Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C89 ⋊ #2729 |
480 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=ef,b^2=e,d^2=ef,b^a=be,c^a=cf,d^a=def,c^b=cg,d^b=de,h^b=h^881264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36762038, #36762043, #36762055, … |
| maximal normal subgroup of | #36762038, #36762043, #36762055, … |
| maximal quotient of | #36482213, #36482394, #36482441, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 11488);