Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C179 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^178,d^b=df1802 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506935, #37506936, #37506937, … |
| maximal normal subgroup of | #37506935, #37506936, #37506937, … |
| maximal quotient of | #37506924, #37506940, #37506958, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 331);