Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C359 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,359|a^2=d,b^2=d,b^a=bd,c^a=ce,f^b=f^3581804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊Q8×D359, C2×#26039992, #37526949, … |
| maximal normal subgroup of | C22⋊Q8×D359, C2×#26039992, #37526949, … |
| maximal quotient of | #37526301, #37526315, #37526318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 123);