Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×C179⋊#95 |
| unambiguous semidirect product | (C2×C179)⋊#95 |
| Sylow | C179 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506842, #37506878, #37506880, … |
| maximal normal subgroup of | #37506842, #37506878, #37506880, … |
| maximal quotient of | C4×C179⋊#95, #37507222, #37507223, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 393);