Finite Group Databasebeta

← Group #488413

Character table — Group #488413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244224442224444444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-111-111-11-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111111111-1-1
χ511111111111111-1-11-1-1-1-11111-1-1-1-111111-1-11-111-1-1-1-11111-1-1
χ611111111111111-1-11-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-111
χ711111111111111-1-11-1-1-1-1-1-1-1-1111111-1111-1-11111111-1-1-1-1-1-1
χ811111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-11-1-11-1-1-1-1-1-1111111
χ9111111-1-1-1-1-111-111-1-1-11111-1-111-1-11111-1-1-1-111-111-1-111-1-11-1
χ10111111-1-1-1-1-111-111-1-1-11111-1-111-1-1111-11-1-1-11-11-1-111-1-111-11
χ11111111-1-1-1-1-111-111-1-1-111-1-111-1-11111-11-11-11-11-1-1-111-1-1111-1
χ12111111-1-1-1-1-111-111-1-1-111-1-111-1-11111-1-111-11-1-1111-1-111-1-1-11
χ13111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-111-1-11-1-1-11111-1-1-11
χ14111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111-1111-1-1-1111-1-1-1-1111-1
χ15111111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-11-1-11111-111-1-1-1-111-11
χ16111111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11-1111-11-1-11111-1-11-1
χ1722222222222-2-2-200-20000222200002-2-20000-20000000000000
χ1822222222222-2-2-200-20000-2-2-2-200002-22000020000000000000
χ1922222222-2-2222-2002000000002222-2-2000-200-2000000000000
χ2022222222-2-2222-200200000000-2-2-2-2-2-20002002000000000000
χ2122222222-2-22-2-2222-2-2-2-2-200000000-220000200000000000000
χ2222222222-2-22-2-22-2-2-2222200000000-220000-200000000000000
χ23222222-2-222-222200-20000000022-2-2-2-2000200-2000000000000
χ24222222-2-222-222200-200000000-2-222-2-2000-2002000000000000
χ25222222-2-222-2-2-2-222222-2-200000000-220000-200000000000000
χ26222222-2-222-2-2-2-2-2-22-2-22200000000-220000200000000000000
χ27222222-2-2-2-2-2-2-22002000022-2-200002-2-2000020000000000000
χ28222222-2-2-2-2-2-2-220020000-2-22200002-220000-20000000000000
χ294444-4-44400-40000000000000000000002-20000-220000000000
χ304444-4-44400-4000000000000000000000-2200002-20000000000
χ314444-4-4-4-4004000000000000000000000220000-2-20000000000
χ324444-4-4-4-4004000000000000000000000-2-20000220000000000
χ3344-4-4004i−4i0000000002-22i−2i2i−2i2-22-22i−2i000000000000000000000
χ3444-4-4004i−4i0000000002-22i−2i−2i2i-22-22−2i2i000000000000000000000
χ3544-4-4004i−4i000000000-22−2i2i2i−2i2-2-22−2i2i000000000000000000000
χ3644-4-4004i−4i000000000-22−2i2i−2i2i-222-22i−2i000000000000000000000
χ3744-4-400−4i4i0000000002-2−2i2i2i−2i-22-222i−2i000000000000000000000
χ3844-4-400−4i4i0000000002-2−2i2i−2i2i2-22-2−2i2i000000000000000000000
χ3944-4-400−4i4i000000000-222i−2i2i−2i-222-2−2i2i000000000000000000000
χ4044-4-400−4i4i000000000-222i−2i−2i2i2-2-222i−2i000000000000000000000
χ414-44-44-4004-40000000000000000000000000000002i−2i2i−2i000000
χ424-44-44-4004-4000000000000000000000000000000−2i2i−2i2i000000
χ434-44-44-400-440000000000000000000000000000002i−2i−2i2i000000
χ444-44-44-400-44000000000000000000000000000000−2i2i2i−2i000000
χ454-44-4-44000004-4000000000000000000000000000000022−220000
χ464-44-4-44000004-40000000000000000000000000000000−22220000
χ474-44-4-4400000-4400000000000000000000000000000000022−2200
χ484-44-4-4400000-44000000000000000000000000000000000−222200
χ498-8-8800000000004-40000000000000000000000000000000000
χ508-8-880000000000-440000000000000000000000000000000000

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