Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C359 ⋊ #103 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,359|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,f^a=f^358,c^b=ce1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #103×D359, C2×#26039939, #37526438, … |
| maximal normal subgroup of | #103×D359, C2×#26039939, #37526438, … |
| maximal quotient of | Q8⋊(C359⋊C8), #37526180, #37526189, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 70);