Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3107 |
390 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^88,f^c=fg1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36524426, #36524428, #36524459, … |
| maximal normal subgroup of | #36524426, #36524428, #36524459, … |
| maximal quotient of | #36554461, #36557363, #36557369, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14577);