Finite Group Databasebeta

← Group #272360

Character table — Group #272360

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444444444244444444888888882444488888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-111111111-1-1-1-1-1111-1-1-1-1-111-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-111
χ511111111111111111-111-1111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11-1
χ611111111111111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-11111-11
χ711111111111111111-111-1-1-11-1-111111111-1-1-1-1-1-1-11-1-111111-1-1-11
χ811111111111111111-111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1111-1
χ91111111111111-1-1111-1-1111-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111
χ101111111111111-1-1111-1-1111-11111-1-11111-1-11-1-111-1-1-11-1-11111-1-1
χ111111111111111-1-1111-1-11-1-1-111-1-111-1-1-1-1-1-1-11111111-11111-1-1-1-1
χ121111111111111-1-1111-1-11-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111
χ131111111111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-11111111-1
χ141111111111111-1-111-1-1-1-111-1-1-1-1-1-1-11111111-1-111-111-111-1-1-1-1-11
χ151111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-111111-1-11-1-1-1-111-11
χ161111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1111-1-111-1-11-1
χ172222222-2-22-2-2222-2-20-2-200020000000000000000002i−2i000002i−2i00
χ182222222-2-22-2-2222-2-20-2-20002000000000000000000−2i2i00000−2i2i00
χ192222222-2-22-2-22-2-2-2-2022000-20000000000000000002i−2i00000−2i2i00
χ202222222-2-22-2-22-2-2-2-2022000-2000000000000000000−2i2i000002i−2i00
χ21222222-222-222-200-2-2200-2220-22-2-200000000-20000000200000000
χ22222222-222-222-200-2-2200-2-2-20-22220000000020000000-200000000
χ23222222-222-222-200-2-2-20022202-22200000000-20000000-200000000
χ24222222-222-222-200-2-2-2002-2-202-2-2-20000000020000000200000000
χ252222-2-222-222-2-222-2202-2000-200002222-2-20000000-200000000000
χ262222-2-222-222-2-222-2202-2000-20000-2-2-2-2220000000200000000000
χ272222-2-222-222-2-2-2-2-220-220002000022-2-2220000000-200000000000
χ282222-2-222-222-2-2-2-2-220-2200020000-2-222-2-20000000200000000000
χ292222-2-22-222-22-2222-22-22-200-22-2000000002-200000000000000000
χ302222-2-22-222-22-2222-2-2-22200-2-2200000000-2200000000000000000
χ312222-2-22-222-22-2-2-22-222-2-20022-200000000-2200000000000000000
χ322222-2-22-222-22-2-2-22-2-22-22002-22000000002-200000000000000000
χ332222-2-2-2-22-2-22200-222002000-2-2000000000002-20000002-2000000
χ342222-2-2-2-22-2-22200-222002000-2-200000000000-22000000-22000000
χ352222-2-2-2-22-2-22200-22-200-200022000000000002-2000000-22000000
χ362222-2-2-2-22-2-22200-22-200-20002200000000000-220000002-2000000
χ37444444-4-4-4-4-4-4-40044000000000000000000000000000000000000
χ384444-4-4-44-4-44-44004-4000000000000000000000000000000000000
χ394-44-400-40040004-400000000000002i2−2i22i2−2i2000000000000000000000
χ404-44-400-40040004-40000000000000−2i22i2−2i22i2000000000000000000000
χ414-44-400-4004000-4400000000000002i2−2i2−2i22i2000000000000000000000
χ424-44-400-4004000-440000000000000−2i22i22i2−2i2000000000000000000000
χ434-4-444-40440-4-4000000000000004-40000000000000000000000000
χ444-4-444-40440-4-400000000000000-440000000000000000000000000
χ454-4-444-40-4-404400000000000000000000000000022−22000000000000
χ464-4-444-40-4-4044000000000000000000000000000−2222000000000000
χ474-4-44-4404-40-44000000000000000000000000000000000002i2−2i20000
χ484-4-44-4404-40-4400000000000000000000000000000000000−2i22i20000
χ494-4-44-440-4404-40000000004i−4i000000000000000000000000000000
χ504-4-44-440-4404-4000000000−4i4i000000000000000000000000000000
χ5188-8-800000000000000000000000000004-40000000000000000000
χ5288-8-80000000000000000000000000000-440000000000000000000
χ538-88-800800-80000000000000000000000000000000000000000000

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