Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic358 |
| Sylow | C179 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507270, #37508923, #37508934, … |
| maximal normal subgroup of | #37507270, #37508923, #37508934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1373);