Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153058 |
| Fitting | C2×C16×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
2870 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510851, C4×#19153058, #37510863, … |
| maximal normal subgroup of | #37510851, C4×#19153058, #37510863, … |
| maximal quotient of | C2×#26038241, C2×#26038244, C2×#26038267, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 974);