Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C22⋊Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2449 |
648 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,b^2=f,c^2=f,b^a=be,c^a=cf,d^a=de,c^b=cg,h^b=h^881270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2449×D89, C2×#26024057, #36721961, … |
| maximal normal subgroup of | #2449×D89, C2×#26024057, #36721961, … |
| maximal quotient of | #36476425, #36476615, #36477284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 8315);