Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153059 |
| Sylow | C179 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510856, C4×#19153059, #37510868, … |
| maximal normal subgroup of | #37510856, C4×#19153059, #37510868, … |
| maximal quotient of | C2×#26038242, C2×#26038243, C2×#26038264, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 976);