Finite Group Databasebeta

← Group #272387

Character table — Group #272387

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444422444224444444888888882444488888888888848
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111111-11-1-1-1111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-111
χ5111111111111111111-1-1-111-11111-1-11111-11-111-11-1-111-1-1-1-1-1-11-1
χ6111111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-11
χ7111111111111111111-1-1-111-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-11
χ8111111111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-1111-1
χ9111111111111-1-1111-1111-1-11111111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ10111111111111-1-1111-1111-1-1111-1-1111111-11-1-1-11-1-1-111-1-11111-1-1
χ11111111111111-1-1111-1111-1-11-1-111-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-1
χ12111111111111-1-1111-1111-1-11-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111
χ13111111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-11-1-1-1-11111111-1
χ14111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-11
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11-111111-1-111-1-1-1-111-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11111111-11111-111-1-1-1-111-1-11-1
χ172222222-22-2-2-2222-2-22000-2-20000000000000000002i−2i0000002i−2i00
χ182222222-22-2-2-2222-2-22000-2-2000000000000000000−2i2i000000−2i2i00
χ192222222-22-2-2-2-2-22-2-2-2000220000000000000000002i−2i000000−2i2i00
χ202222222-22-2-2-2-2-22-2-2-200022000000000000000000−2i2i0000002i−2i00
χ21222222-22-222200-2-2-202-2-200222002200000-2000-20000000000000
χ22222222-22-222200-2-2-202-2-2002-2-200-2-200000200020000000000000
χ23222222-22-222200-2-2-20-22200-22200-2-200000-200020000000000000
χ24222222-22-222200-2-2-20-22200-2-2-20022000002000-20000000000000
χ252222-2-2222-2-2222-22-2-22-222-2-2000000000020-20000000000000000
χ262222-2-2222-2-2222-22-2-2-22-22-220000000000-2020000000000000000
χ272222-2-2222-2-22-2-2-22-222-22-22-20000000000-2020000000000000000
χ282222-2-2222-2-22-2-2-22-22-22-2-222000000000020-20000000000000000
χ292222-2-22-2222-222-2-22-2000-22000220022-2-2000000-2000000000000
χ302222-2-22-2222-222-2-22-2000-22000-2-200-2-2220000002000000000000
χ312222-2-22-2222-2-2-2-2-2220002-20002200-2-222000000-2000000000000
χ322222-2-22-2222-2-2-2-2-2220002-2000-2-20022-2-20000002000000000000
χ332222-2-2-22-2-2-22002-22022-200-200000000000002-20000002-2000000
χ342222-2-2-22-2-2-22002-22022-200-20000000000000-22000000-22000000
χ352222-2-2-22-2-2-22002-220-2-2200200000000000002-2000000-22000000
χ362222-2-2-22-2-2-22002-220-2-220020000000000000-220000002-2000000
χ37444444-4-4-4-4-4-400-444000000000000000000000000000000000000
χ384444-4-4-4-4-444-40044-4000000000000000000000000000000000000
χ394-44-400-4040004-40000000000002i2−2i2002i2−2i2000000000000000000000
χ404-44-400-4040004-4000000000000−2i22i200−2i22i2000000000000000000000
χ414-44-400-404000-440000000000002i2−2i200−2i22i2000000000000000000000
χ424-44-400-404000-44000000000000−2i22i2002i2−2i2000000000000000000000
χ434-4-444-40404-4-4000000000000000000000000000000000002i2−2i20000
χ444-4-444-40404-4-400000000000000000000000000000000000−2i22i20000
χ454-4-444-40-40-4440000000000004-4000000000000000000000000000
χ464-4-444-40-40-444000000000000-44000000000000000000000000000
χ474-4-44-44040-44-400000000000000000000000000000002i2−2i200000000
χ484-4-44-44040-44-40000000000000000000000000000000−2i22i200000000
χ494-4-44-440-404-4400000000000000004-400000000000000000000000
χ504-4-44-440-404-440000000000000000-4400000000000000000000000
χ5188-8-800000000000000000000000000004-40000000000000000000
χ5288-8-80000000000000000000000000000-440000000000000000000
χ538-88-80080-800000000000000000000000000000000000000000000

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