Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #408×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2879 |
764 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,f^2=g,b^a=be,d^a=dg,c^b=cg,h^d=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36463554, #36469384, #36469390, … |
| maximal normal subgroup of | #36463554, #36469384, #36469390, … |
| maximal quotient of | #36520493, #36520498, #36520502, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12952);