Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2293 |
652 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,c^2=f,d^2=e,b^a=be,c^a=cf,h^b=h^88,h^d=h^881288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442364, #36442419, #36442447, … |
| maximal normal subgroup of | #36442364, #36442419, #36442447, … |
| maximal quotient of | #36475534, #36475565, #36475589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6972);