Finite Group Databasebeta

← Group #330237

Character table — Group #330237

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444444444444444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-11-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1111-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-11-1-11
χ17222222222-2-222-2-2222-2-2-2-22-222-2-222-2-2000000000000000000000000
χ18222222222-2-222-2-2222-2-2-2-22-2-2-222-2-222000000000000000000000000
χ19222222222-2-222-2-22-2-222-2-2-2222-2-2-2-222000000000000000000000000
χ20222222222-2-222-2-22-2-222-2-2-22-2-22222-2-2000000000000000000000000
χ2122222222-222-2-222-22222-2-2-2-2000000002222-2-2-2-20000000000000000
χ2222222222-222-2-222-22222-2-2-2-200000000-2-2-2-222220000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-2220000000022-2-2-2-2220000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-22200000000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-22000000000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2200000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-2000000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-200000000000000000000−2i2i2i−2i00000000
χ292222-2-2-2-202200-2-202-22-20000000000002-22-200002−22−200002−22−20000
χ302222-2-2-2-202200-2-202-22-20000000000002-22-20000−22−220000−22−220000
χ312222-2-2-2-202200-2-202-22-2000000000000-22-2200002−22−20000−22−220000
χ322222-2-2-2-202200-2-202-22-2000000000000-22-220000−22−2200002−22−20000
χ332222-2-2-2-202200-2-20-22-220000000000002-2-2200002−2−2200002−2−220000
χ342222-2-2-2-202200-2-20-22-220000000000002-2-220000−222−20000−222−20000
χ352222-2-2-2-202200-2-20-22-22000000000000-222-200002−2−220000−222−20000
χ362222-2-2-2-202200-2-20-22-22000000000000-222-20000−222−200002−2−220000
χ374444-4-4-4-40-4-4004404-4-44000000000000000000000000000000000000
χ384444-4-4-4-40-4-400440-444-4000000000000000000000000000000000000
χ3944-4-444-4-404-4004-4000000000000000000000004-40000000000000000
χ4044-4-444-4-404-4004-400000000000000000000000-440000000000000000
χ4144-4-444-4-40-4400-440000000000000000000004-4000000000000000000
χ4244-4-444-4-40-4400-44000000000000000000000-44000000000000000000
χ4344-4-4-4-44444-4-4-4-44400004-40000000000000000000000000000000000
χ4444-4-4-4-4444-44-4-44-440000-440000000000000000000000000000000000
χ4544-4-4-4-444-44-444-44-40000-440000000000000000000000000000000000
χ4644-4-4-4-444-4-44444-4-400004-40000000000000000000000000000000000
χ474-44-44-4-444004-400-40000000000004i−4i00000000000000000000000000
χ484-44-44-4-444004-400-4000000000000−4i4i00000000000000000000000000
χ494-44-44-4-44-400-44004000000000000004-4000000000000000000000000
χ504-44-44-4-44-400-4400400000000000000-44000000000000000000000000
χ514-4-44-44-44400-4400-400000000004i−4i0000000000000000000000000000
χ524-4-44-44-44400-4400-40000000000−4i4i0000000000000000000000000000
χ534-4-44-44-44-4004-4004000000004-4000000000000000000000000000000
χ544-4-44-44-44-4004-400400000000-44000000000000000000000000000000
χ558-88-8-888-8000000000000000000000000000000000000000000000000
χ568-8-888-88-8000000000000000000000000000000000000000000000000

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