Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1432 |
| Sylow | C179 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
2870 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507180, #37507182, #37507192, … |
| maximal normal subgroup of | #37507180, #37507182, #37507192, … |
| maximal quotient of | C2×#26038244, C2×#26038265, C4×Dic1432, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 977);