Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D179 |
| Fitting | C2×Q16×C179 ⋊ C2 |
| Sylow | C179 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
1274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D179, #37510718, #362×D179, … |
| maximal normal subgroup of | #358×D179, #37510718, #362×D179, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1324);