Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19153100 |
| Sylow | C179 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37509386, #37509388, #37509400, … |
| maximal normal subgroup of | #37509386, #37509388, #37509400, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1065);