Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153024 |
| Sylow | C179 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506830, #37506844, #37506881, … |
| maximal normal subgroup of | #37506830, #37506844, #37506881, … |
| maximal quotient of | C2×#26038161, #37507287, #37507292, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 498);