Finite Group Databasebeta

← Group #175393

Character table — Group #175393

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444222224444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11-1-111-11-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-11-1-1-1-1-11-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-111-1-111-11-11-111-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-11111-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-11-1-11-11-1-111111111-1-1-1-1
χ9111111111-1-11-1-1-1-11111-11111-1-1-1-111-1-1111-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-1-1-11111-11111-1-1-1-111-1-11-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-11-1-1-1-11111-111-1-1-1-111-1-1-11-111111-1-1-1-11111-1-1-1-111
χ12111111111-1-11-1-1-1-11111-111-1-1-1-111-1-1-11-1-1-11111111-1-1-1-11111-1-1
χ13111111111-1-11-1-1-1-11111-1-1-11111-1-1-111-1-1111-11-1-111-1-1-1-111-1-111
χ14111111111-1-11-1-1-1-11111-1-1-11111-1-1-111-1-1-1-11-1111-1-11111-1-111-1-1
χ15111111111-1-11-1-1-1-11111-1-1-1-1-111111-111111-1-1-1-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-1-1-11111-1-1-1-1-111111-1111-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-22-222200-2-20000200000-2000000000000000
χ1822222222222-2-2-2-2-2-2-22-22-2-200220000-2000002000000000000000
χ19222222222-2-2-22222-2-22-2-22200220000-200000-2000000000000000
χ20222222222-2-2-22222-2-22-2-2-2-200-2-200002000002000000000000000
χ2122222222-2222-2-222-2-2-22-2000000002000-200-20200000000000000
χ2222222222-2222-2-222-2-2-22-200000000-200020020-200000000000000
χ2322222222-222-222-2-222-2-2-2002200-2-20-20200000000000000000000
χ2422222222-222-222-2-222-2-2-200-2-20022020-200000000000000000000
χ2522222222-2-2-2222-2-2-2-2-222000000002000-20020-200000000000000
χ2622222222-2-2-2222-2-2-2-2-22200000000-2000200-20200000000000000
χ2722222222-2-2-2-2-2-22222-2-22002200220-20-200000000000000000000
χ2822222222-2-2-2-2-2-22222-2-2200-2-200-2-2020200000000000000000000
χ294444-4-4-4-44000000000-4004-4000000000000000000000000000000
χ304444-4-4-4-44000000000-400-44000000000000000000000000000000
χ314444-4-4-4-4-400000000040000004i−4i00000000000000000000000000
χ324444-4-4-4-4-40000000004000000−4i4i00000000000000000000000000
χ3344-4-44-44-400004-4000000000000000000002i−2i0002i−2i000000000000
χ3444-4-44-44-400004-400000000000000000000−2i2i000−2i2i000000000000
χ3544-4-44-44-40000-44000000000000000000002i−2i000−2i2i000000000000
χ3644-4-44-44-40000-4400000000000000000000−2i2i0002i−2i000000000000
χ374-44-44-4-4400040000000-400000000000000000000000002i2−2i2000000
χ384-44-44-4-4400040000000-40000000000000000000000000−2i22i2000000
χ394-44-44-4-44000-40000000400000000000000000000000000022−220000
χ404-44-44-4-44000-400000004000000000000000000000000000−22220000
χ414-44-4-444-404i−4i0000000000000000000000000000002-22i−2i00000000
χ424-44-4-444-404i−4i000000000000000000000000000000-22−2i2i00000000
χ434-44-4-444-40−4i4i0000000000000000000000000000002-2−2i2i00000000
χ444-44-4-444-40−4i4i000000000000000000000000000000-222i−2i00000000
χ454-4-4444-4-40000004i−4i0000000000000000000000000000000002-22i−2i
χ464-4-4444-4-40000004i−4i000000000000000000000000000000000-22−2i2i
χ474-4-4444-4-4000000−4i4i0000000000000000000000000000000002-2−2i2i
χ484-4-4444-4-4000000−4i4i000000000000000000000000000000000-222i−2i
χ494-4-44-4-444000000004-40000000004-4000000000000000000000000
χ504-4-44-4-444000000004-4000000000-44000000000000000000000000
χ514-4-44-4-44400000000-44000004-40000000000000000000000000000
χ524-4-44-4-44400000000-4400000-440000000000000000000000000000
χ5388-8-8-88-88000000000000000000000000000000000000000000000

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