Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C89 ⋊ #3248 |
354 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^88,c^b=ce,f^c=fg1264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36531626, #36531632, #36531641, … |
| maximal normal subgroup of | #36531626, #36531632, #36531641, … |
| maximal quotient of | #36564333, #36564343, #36564817, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 15847);