Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1432 |
| Fitting | C4×C8×C179 ⋊ C2 |
| Sylow | C179 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
2876 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506960, #37506962, #37506966, … |
| maximal normal subgroup of | #37506960, #37506962, #37506966, … |
| maximal quotient of | C8×D1432, #37507831, #37507886, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 633);