Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19153101 |
| Fitting | C2×C42×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
2876 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507351, #37507353, C2×#26038178, … |
| maximal normal subgroup of | #37507351, #37507353, C2×#26038178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1066);