Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic179 |
| Sylow | C179 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506846, #37506847, #37506852, … |
| maximal normal subgroup of | #37506846, #37506847, #37506852, … |
| maximal quotient of | C4×C179⋊#95, #37507223, #37507227, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 397);