Finite Group Databasebeta

← Group #485441

Character table — Group #485441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444888888888888888888888161616161616323232323232
order12222244444444444444222244444444444444444224444888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ611111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ711111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111111111-1-111-1-1-1-111
χ811111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ9111111-1-1-1-111111-1-1-1-11-1-111-1-1-111-1-111-1-111-1-1111-1-111-11-11-11-1
χ10111111-1-1-1-111111-1-1-1-11-1-111-1-1-111-1-111-1-111-1-111-11-11-11-11-11-11
χ11111111-1-1-1-111111-1-1-1-11-1-1-1-1-111-1-111-1-111-1-111111-1-111-11-1-11-11
χ12111111-1-1-1-111111-1-1-1-11-1-1-1-1-111-1-111-1-111-1-11111-11-11-11-111-11-1
χ13111111-1-1-1-11-1-1-1-111111-1-111-1-1-1-1-11111-1-1-1-111111-11-11-1-111-1-11
χ14111111-1-1-1-11-1-1-1-111111-1-111-1-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1
χ15111111-1-1-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1111-11-11-1-11-111-1
χ16111111-1-1-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-11-1-11
χ1722222222222222222222-2-200200000000000000-2-200-2-200000000
χ1822222222222-2-2-2-2-2-2-2-22-2-200200000000000000-2-2002200000000
χ192222222222-200000000-22-200-20022220000-2-2-2-22-2000000000000
χ202222222222-200000000-22-200-200-2-2-2-2000022222-2000000000000
χ212222222222-200000000-2-2222-2220000-2-2-2-20000-22000000000000
χ222222222222-200000000-2-22-2-2-2-2-2000022220000-22000000000000
χ23222222-2-2-2-222222-2-2-2-222200-200000000000000-2-2002-200000000
χ24222222-2-2-2-22-2-2-2-2222222200-200000000000000-2-200-2200000000
χ25222222-2-2-2-2-200000000-22-2222-2-20000-2-2220000-22000000000000
χ26222222-2-2-2-2-200000000-22-2-2-2222000022-2-20000-22000000000000
χ27222222-2-2-2-2-200000000-2-220020022-2-20000-2-2222-2000000000000
χ28222222-2-2-2-2-200000000-2-2200200-2-222000022-2-22-2000000000000
χ294444-4-444-4-400000000000000000000000000000002200-2-2000000
χ304444-4-444-4-40000000000000000000000000000000-2-20022000000
χ314444-4-4-4-44400000000000000000000000000000002-200-22000000
χ324444-4-4-4-4440000000000000000000000000000000-22002-2000000
χ3344-4-400004i−4i022-2-22i2i−2i−2i0000000000002i−2i2-22i−2i2-200000000000000
χ3444-4-400004i−4i022-2-22i2i−2i−2i000000000000−2i2i-22−2i2i-2200000000000000
χ3544-4-400004i−4i0-2-222−2i−2i2i2i0000000000002i−2i2-2−2i2i-2200000000000000
χ3644-4-400004i−4i0-2-222−2i−2i2i2i000000000000−2i2i-222i−2i2-200000000000000
χ3744-4-40000−4i4i022-2-2−2i−2i2i2i0000000000002i−2i-222i−2i-2200000000000000
χ3844-4-40000−4i4i022-2-2−2i−2i2i2i000000000000−2i2i2-2−2i2i2-200000000000000
χ3944-4-40000−4i4i0-2-2222i2i−2i−2i0000000000002i−2i-22−2i2i2-200000000000000
χ4044-4-40000−4i4i0-2-2222i2i−2i−2i000000000000−2i2i2-22i−2i-2200000000000000
χ414-44-4004-40002i−2i2i−2i2i−2i2i−2i0002-202-22i−2i2i−2i0000000000000000000000
χ424-44-4004-40002i−2i2i−2i2i−2i2i−2i000-220-22−2i2i−2i2i0000000000000000000000
χ434-44-4004-4000−2i2i−2i2i−2i2i−2i2i0002-202-2−2i2i−2i2i0000000000000000000000
χ444-44-4004-4000−2i2i−2i2i−2i2i−2i2i000-220-222i−2i2i−2i0000000000000000000000
χ454-44-400-440002i−2i2i−2i−2i2i−2i2i0002-20-222i−2i−2i2i0000000000000000000000
χ464-44-400-440002i−2i2i−2i−2i2i−2i2i000-2202-2−2i2i2i−2i0000000000000000000000
χ474-44-400-44000−2i2i−2i2i2i−2i2i−2i0002-20-22−2i2i2i−2i0000000000000000000000
χ484-44-400-44000−2i2i−2i2i2i−2i2i−2i000-2202-22i−2i−2i2i0000000000000000000000
χ494-4-444-4000044i−4i−4i4i0000-4000000000000000000000000000000000
χ504-4-444-400004−4i4i4i−4i0000-4000000000000000000000000000000000
χ514-4-444-40000-400004-4-444000000000000000000000000000000000
χ524-4-444-40000-40000-444-44000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).