Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#15668243 |
| Sylow | C179 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506836, #37506837, #37506849, … |
| maximal normal subgroup of | #37506836, #37506837, #37506849, … |
| maximal quotient of | C8×#15668243, #37507289, #37507297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 502);