Finite Group Databasebeta

← Group #272392

Character table — Group #272392

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444444444244444444888888882444488888888888828
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-111
χ511111111111111111-11-111-111-1-1-1111111-1-111111-1-1-11-1-1-1-1-1-11-1
χ611111111111111111-11-111-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11
χ711111111111111111-11-111-1-1-1-111111111-1-1-1-1-1-1-11111-1-111-1-1-11
χ811111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-111-1-1111-1
χ91111111111111-1-1111-11-1-111111111-1-1-1-1-1-11-1-1-1-11-1-1111-1-1-1-111
χ101111111111111-1-1111-11-1-1111111-1-11111-1-11-1-1111-1-1-1-1-11111-1-1
χ111111111111111-1-1111-11-1-11-1-11-1-111-1-1-1-1-1-1-11111-11111111-1-1-1-1
χ121111111111111-1-1111-11-1-11-1-11-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-11111
χ131111111111111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1111-1-1-1-1-1111-1-111111-1
χ141111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11111111-1-111-111-111-1-1-1-1-11
χ151111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-111111-1-11-1-1-1-111-11
χ161111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1111111-111-1-11-1-1-11111-1-11-1
χ172222222-22-2-2-2222-2-2020-2-2000000000000000000000002i−2i002i−2i00
χ182222222-22-2-2-2222-2-2020-2-200000000000000000000000−2i2i00−2i2i00
χ192222222-22-2-2-22-2-2-2-20-2022000000000000000000000002i−2i00−2i2i00
χ202222222-22-2-2-22-2-2-2-20-202200000000000000000000000−2i2i002i−2i00
χ21222222-22-2222-200-2-220-200-2222-2-200000000-20000200000000000
χ22222222-22-2222-200-2-220-200-2-2-22220000000020000-200000000000
χ23222222-22-2222-200-2-2-20200222-22200000000-20000-200000000000
χ24222222-22-2222-200-2-2-202002-2-2-2-2-20000000020000200000000000
χ252222-2-2222-2-22-222-220-202-20000002222-2-20000000000-200000000
χ262222-2-2222-2-22-222-220-202-2000000-2-2-2-2220000000000200000000
χ272222-2-2222-2-22-2-2-2-22020-2200000022-2-2220000000000-200000000
χ282222-2-2222-2-22-2-2-2-22020-22000000-2-222-2-20000000000200000000
χ292222-2-22-2222-2-2222-22-22-22-200-2000000002-200000000000000000
χ302222-2-22-2222-2-2222-2-2-2-2-22200200000000-2200000000000000000
χ312222-2-22-2222-2-2-2-22-22222-2-200-200000000-2200000000000000000
χ322222-2-22-2222-2-2-2-22-2-22-22-22002000000002-200000000000000000
χ332222-2-2-2-2-222-2200-2220-200200-2000000000002-20002-2000000000
χ342222-2-2-2-2-222-2200-2220-200200-200000000000-22000-22000000000
χ352222-2-2-2-2-222-2200-22-20200-2002000000000002-2000-22000000000
χ362222-2-2-2-2-222-2200-22-20200-200200000000000-220002-2000000000
χ37444444-4-4-4-4-4-4-40044000000000000000000000000000000000000
χ384444-4-4-44-4-4-444004-4000000000000000000000000000000000000
χ3944-4-400-40400004-400000000000002i2−2i22i2−2i2000000000000000000000
χ4044-4-400-40400004-40000000000000−2i22i2−2i22i2000000000000000000000
χ4144-4-400-4040000-4400000000000002i2−2i2−2i22i2000000000000000000000
χ4244-4-400-4040000-440000000000000−2i22i22i2−2i2000000000000000000000
χ434-4-444-40404-4-40000000000000000000000000002i2−2i2000000000000
χ444-4-444-40404-4-4000000000000000000000000000−2i22i2000000000000
χ454-4-444-40-40-444000000000000004-40000000000000000000000000
χ464-4-444-40-40-44400000000000000-440000000000000000000000000
χ474-4-44-44040-44-4000000000004i−4i0000000000000000000000000000
χ484-4-44-44040-44-400000000000−4i4i0000000000000000000000000000
χ494-4-44-440-404-440000000000000000000000000000000000022−220000
χ504-4-44-440-404-4400000000000000000000000000000000000−22220000
χ5188-8-80080-800000000000000000000000000000000000000000000
χ528-88-800000000000000000000000000004i−4i0000000000000000000
χ538-88-80000000000000000000000000000−4i4i0000000000000000000

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