Finite Group Databasebeta

← Group #485721

Character table — Group #485721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244224444444224444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11-1-11111-1-111-1-1-1-11111-1111-11-1-1-1-1-111-1-1
χ6111111111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1-11-11-11111-1-111
χ7111111111111-1-1-1-11-1-111-1-111-1-111-1-11111-111-11-11-1-1-1-1-1-111
χ8111111111111-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-1-1-11-11111111-1-1
χ9111111-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-1111-111-11-1-1111-1-11-11-1
χ10111111-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-111-111-111-1-11-1-111-11-11
χ11111111-1-1-1-11-111111-1-1-1-1-1-11111-1-1-1-1111-111-1-111-111-1-1-11-11
χ12111111-1-1-1-11-111111-1-1-1-1-1-11111-1-1-1-111-111-11-111-1-1-1111-11-1
χ13111111-1-1-1-11-1-1-1-1-1111-1-11111-1-1-1-111111-1-11-111-1-1-1-1111-1-11
χ14111111-1-1-1-11-1-1-1-1-1111-1-11111-1-1-1-11111-11-1-1111-1-111-1-1-111-1
χ15111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111111111-1-11-1-1-111-1-111-111-1
χ16111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111111111-11-1-11-1-11111-1-11-1-11
χ1722222222222222222-2-2-2-20000000022-2-200-200000000000000
χ18222222222222-2-2-2-2222-2-200000000-2-2-2-200200000000000000
χ1922222222-2-2-220000-2002-200220022002-2000000-20-200000000
χ2022222222-2-2-220000-2002-200-2-200-2-2002-200000020200000000
χ2122222222-2-2-220000-200-222200220000-2200000-20-2000000000
χ2222222222-2-2-220000-200-22-2-200-2-20000-2200000202000000000
χ23222222-2-222-2-20000-2002-22200-2-20000-2200000-202000000000
χ24222222-2-222-2-20000-2002-2-2-200220000-220000020-2000000000
χ25222222-2-222-2-20000-200-22002200-2-2002-2000000-20200000000
χ26222222-2-222-2-20000-200-2200-2-20022002-200000020-200000000
χ27222222-2-2-2-22-222222222200000000-2-2-2-200-200000000000000
χ28222222-2-2-2-22-2-2-2-2-22-2-2220000000022-2-200200000000000000
χ294444-4-444000-40000000000000000000002-20-22000000000000
χ304444-4-444000-4000000000000000000000-2202-2000000000000
χ314444-4-4-4-40004000000000000000000000220-2-2000000000000
χ324444-4-4-4-40004000000000000000000000-2-2022000000000000
χ334-44-44-40000400000-44-40000000000000000000000000000000
χ344-44-44-40000400000-4-440000000000000000000000000000000
χ354-44-44-40000-404i4i−4i−4i4000000000000000000000000000000000
χ364-44-44-40000-40−4i−4i4i4i4000000000000000000000000000000000
χ374-44-4-44004-4000000000000000000000000000000002i−2i2i−2i0000
χ384-44-4-44004-400000000000000000000000000000000−2i2i−2i2i0000
χ394-44-4-4400-44000000000000000000000000000000002i−2i−2i2i0000
χ404-44-4-4400-4400000000000000000000000000000000−2i2i2i−2i0000
χ414-4-44004i−4i00002i−2i2i−2i000002i−2i2i−2i2-22-22-20000000000000000000
χ424-4-44004i−4i00002i−2i2i−2i00000−2i2i−2i2i-22-222-20000000000000000000
χ434-4-44004i−4i0000−2i2i−2i2i000002i−2i−2i2i2-2-22-220000000000000000000
χ444-4-44004i−4i0000−2i2i−2i2i00000−2i2i2i−2i-222-2-220000000000000000000
χ454-4-4400−4i4i00002i−2i2i−2i000002i−2i−2i2i-222-2-220000000000000000000
χ464-4-4400−4i4i00002i−2i2i−2i00000−2i2i2i−2i2-2-22-220000000000000000000
χ474-4-4400−4i4i0000−2i2i−2i2i000002i−2i2i−2i-22-222-20000000000000000000
χ484-4-4400−4i4i0000−2i2i−2i2i00000−2i2i−2i2i2-22-22-20000000000000000000
χ4988-8-8000000004-4-440000000000000000000000000000000000
χ5088-8-800000000-444-40000000000000000000000000000000000

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