Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#131×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3067 |
452 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=e,d^2=g,e^2=g,f^2=g,b^a=be,c^a=cf,e^a=eg,f^a=fg,h^a=h^88,f^c=fg1792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36471384, #36471386, #36471440, … |
| maximal normal subgroup of | #36471384, #36471386, #36471440, … |
| maximal quotient of | #36536670, #36536698, #36536738, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14230);