Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D179 |
| Fitting | #106×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
1274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D179, #365×D179 |
| maximal normal subgroup of | #360×D179, #365×D179 |
| maximal quotient of | #334×D179, #37507754, #37507769, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 578);