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 ⋊ #2354 |
632 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,h^a=h^88,d^b=de1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448607, #36448611, #36448635, … |
| maximal normal subgroup of | #36448607, #36448611, #36448635, … |
| maximal quotient of | #36475851, C4⋊C4×C4⋊Dic89, #36475910, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7459);