Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D179 |
| Fitting | Q32×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1001 conjugacy classes — view the full character table.
| maximal subgroup of | SD64×D179, Q64×D179, #37511316, … |
| maximal normal subgroup of | SD64×D179, Q64×D179, #37511316, … |
| maximal quotient of | #358×D179, #366×D179, #37510856, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 975);