Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153052 |
| Fitting | C2×C16×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507139, C4×#19153052, #37510593, … |
| maximal normal subgroup of | #37507139, C4×#19153052, #37510593, … |
| maximal quotient of | C2×#26038214, C4×#19153052, C2×(C2×D179)⋊C16, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 963);