Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#15668246 |
| Fitting | C22×Q8×C179 ⋊ C2 |
| Sylow | C179 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37509331, #37509337, #37509353, … |
| maximal normal subgroup of | #37509331, #37509337, #37509353, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1321);