Finite Group Databasebeta

← Group #485409

Character table — Group #485409

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444888888888888888888888161616161616323232323232
order12222244444444444444222444444444444444444224444888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-11111
χ51111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-111-1111-11-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1111111-1111-11-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ9111111-1-1-1-11111-1-1-1-111-111-1-111-1-1-1-111-1-111-1-11111-1-1-111-11-11-1
χ10111111-1-1-1-11111-1-1-1-111-111-1-111-1-1-1-111-1-111-1-1111-111-1-1-11-11-11
χ11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-111-1-11-11
χ12111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-111111-111-1-1-111-11-1
χ13111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-111-1-1-1-11111-11-1-111-111-1-11
χ14111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-111-1-1-1-11111-1-1111-11-1-111-1
χ15111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-111-11-1-111-11-111-1
χ16111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-111-1-1111-11-11-1-11
χ17222222222200000000-2-2-2002-22222000000-2-2-2-22-2000000000000
χ18222222222200000000-2-2-2002-2-2-2-2-200000022222-2000000000000
χ19222222222200000000-2-2-222-22000022-2-2-2-20000-22000000000000
χ20222222222200000000-2-2-2-2-2-220000-2-222220000-22000000000000
χ2122222222222222222222200-2-200000000000000-2-2-2000-20000000
χ222222222222-2-2-2-2-2-2-2-222200-2-200000000000000-2-2200020000000
χ23222222-2-2-2-200000000-2-2200-2222-2-2000000-2-2222-2000000000000
χ24222222-2-2-2-200000000-2-2200-22-2-22200000022-2-22-2000000000000
χ25222222-2-2-2-200000000-2-22222-20000-2-2-2-2220000-22000000000000
χ26222222-2-2-2-200000000-2-22-2-22-200002222-2-20000-22000000000000
χ27222222-2-2-2-22222-2-2-2-222-2002200000000000000-2-2-200020000000
χ28222222-2-2-2-2-2-2-2-2222222-2002200000000000000-2-22000-20000000
χ294444-4-444-4-40000000000000000000000000000000022-20-2000000
χ304444-4-444-4-400000000000000000000000000000000-2-2202000000
χ314444-4-4-4-444000000000000000000000000000000002-220-2000000
χ324444-4-4-4-44400000000000000000000000000000000-22-202000000
χ3344-4-400004i−4i22-2-22i2i−2i−2i0002-2002-22i−2i2i−2i0000000000000000000000
χ3444-4-400004i−4i22-2-22i2i−2i−2i000-2200-22−2i2i−2i2i0000000000000000000000
χ3544-4-400004i−4i-2-222−2i−2i2i2i0002-200-22−2i2i2i−2i0000000000000000000000
χ3644-4-400004i−4i-2-222−2i−2i2i2i000-22002-22i−2i−2i2i0000000000000000000000
χ3744-4-40000−4i4i22-2-2−2i−2i2i2i0002-2002-2−2i2i−2i2i0000000000000000000000
χ3844-4-40000−4i4i22-2-2−2i−2i2i2i000-2200-222i−2i2i−2i0000000000000000000000
χ3944-4-40000−4i4i-2-2222i2i−2i−2i0002-200-222i−2i−2i2i0000000000000000000000
χ4044-4-40000−4i4i-2-2222i2i−2i−2i000-22002-2−2i2i2i−2i0000000000000000000000
χ414-44-4004i−4i002i−2i2i−2i2-22-200000000000002i−2i2-22-22i−2i00000000000000
χ424-44-4004i−4i002i−2i2i−2i2-22-20000000000000−2i2i-22-22−2i2i00000000000000
χ434-44-4004i−4i00−2i2i−2i2i-22-2200000000000002i−2i2-2-22−2i2i00000000000000
χ444-44-4004i−4i00−2i2i−2i2i-22-220000000000000−2i2i-222-22i−2i00000000000000
χ454-44-400−4i4i002i−2i2i−2i-22-2200000000000002i−2i-222-2−2i2i00000000000000
χ464-44-400−4i4i002i−2i2i−2i-22-220000000000000−2i2i2-2-222i−2i00000000000000
χ474-44-400−4i4i00−2i2i−2i2i2-22-200000000000002i−2i-22-222i−2i00000000000000
χ484-44-400−4i4i00−2i2i−2i2i2-22-20000000000000−2i2i2-22-2−2i2i00000000000000
χ494-4-444-4000000004i−4i−4i4i4-4000000000000000000000000000000000
χ504-4-444-400000000−4i4i4i−4i4-4000000000000000000000000000000000
χ514-4-444-400004i−4i−4i4i0000-44000000000000000000000000000000000
χ524-4-444-40000−4i4i4i−4i0000-44000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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