Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C22⋊C4×C359 ⋊ C2 |
| Sylow | C359 ⋊ #124 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,359|b^2=e,c^2=d,b^a=bd,c^a=ce,f^c=f^3581804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #124×D359, C2×#26040001, #37526970, … |
| maximal normal subgroup of | #124×D359, C2×#26040001, #37526970, … |
| maximal quotient of | #37526307, #37526331, #37526332, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 132);