Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#15668242 |
| Fitting | C4×C8×C179 ⋊ C2 |
| Sylow | C179 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#15668242, #37507279, #37507286, … |
| maximal normal subgroup of | C8×#15668242, #37507279, #37507286, … |
| maximal quotient of | C8×#15668242, #37507286, #37507294, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 499);