Finite Group Databasebeta

← Group #152214

Character table — Group #152214

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444224444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-111-1-111111111-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111111-1-111-1-111111111-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-1-1-1-111111111-1-111-1-1111-1-1-1-11-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1-111111111-1-111-1-1111-1-1-1-11-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-1-1111111-1-11111-1-11-1-111-1-11-1-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-1-1111111-1-11111-1-11-1-111-1-11-1-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-1-1-1-111-1-111-1-111-1-1-111-1-111-11-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-1-1-1-1-1-111-1-111-1-111-1-1-111-1-111-11-1-111−i−iiiii−i−i−iii−i
χ15111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222222220000-2-2-2-2-2000022-2-20000000000000000
χ1822222222222-2-222-2-20000-2-2-2-220000-2-2220000000000000000
χ19222222-2-2-2-2-22222220000-2-222-20000-2-2-220000000000000000
χ20222222-2-2-2-2-2-2-222-2-20000-2-22220000222-20000000000000000
χ212-22-22-200000222-2-2-2002i−2i2-200-2002i−2i0020002i−2i000000000000
χ222-22-22-200000222-2-2-200−2i2i2-200-200−2i2i002000−2i2i000000000000
χ232-22-22-200000222-2-2-22-200-220022-20000-202-200000000000000
χ242-22-22-200000222-2-2-2-2200-22002-220000-20-2200000000000000
χ252-22-22-200000-2-22-222002i−2i2-2002002i−2i00-2000−2i2i000000000000
χ262-22-22-200000-2-22-22200−2i2i2-200200−2i2i00-20002i−2i000000000000
χ272-22-22-200000-2-22-2222-200-2200-22-2000020-2200000000000000
χ282-22-22-200000-2-22-222-2200-2200-2-220000202-200000000000000
χ29444444444-4-400-4-400000000000000000000000000000000000
χ30444444-4-4-44400-4-400000000000000000000000000000000000
χ314444-4-444-400000000222200000-2-2-2-200000000000000000000
χ324444-4-444-400000000-2-2-2-200000222200000000000000000000
χ334444-4-4-4-440000000022-2-200000-2-22200000000000000000000
χ344444-4-4-4-4400000000-2-2220000022-2-200000000000000000000
χ354-44-44-40000000-44000000004i−4i0000000000000000000000000
χ364-44-44-40000000-4400000000−4i4i0000000000000000000000000
χ374-44-4-440004i−4i0000002-22i−2i00000-22−2i2i00000000000000000000
χ384-44-4-440004i−4i000000-22−2i2i000002-22i−2i00000000000000000000
χ394-44-4-44000−4i4i0000002-2−2i2i00000-222i−2i00000000000000000000
χ404-44-4-44000−4i4i000000-222i−2i000002-2−2i2i00000000000000000000
χ414-4-44004i−4i0002-2002-200000000000002i−2i000000i2−i22−2i2−i22−20000
χ424-4-44004i−4i0002-2002-200000000000002i−2i000000−i2i2−22−i2i2−220000
χ434-4-44004i−4i000-2200-220000000000000−2i2i0000002−2−i2i2−22i2−i20000
χ444-4-44004i−4i000-2200-220000000000000−2i2i000000−22i2−i22−2−i2i20000
χ454-4-4400−4i4i0002-2002-20000000000000−2i2i000000i2−i2−22i2−i2−220000
χ464-4-4400−4i4i0002-2002-20000000000000−2i2i000000−i2i22−2−i2i22−20000
χ474-4-4400−4i4i000-2200-2200000000000002i−2i0000002−2i2−i2−22−i2i20000
χ484-4-4400−4i4i000-2200-2200000000000002i−2i000000−22−i2i22−2i2−i20000
χ4988-8-800000004-400-44000000000000000000000000000000000
χ5088-8-80000000-44004-4000000000000000000000000000000000

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