Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic179 |
| Sylow | C179 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507229, #37507230, #37507234, … |
| maximal normal subgroup of | #37507229, #37507230, #37507234, … |
| maximal quotient of | C22×C179⋊#95, C2×C4×C4⋊Dic179 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1000);