Finite Group Databasebeta

← Group #278591

Character table — Group #278591

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444444488888888888161616161616161616161616161632323232
order12224444442444444488888824888888888248888888888882488
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1111-1-11111-1-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111-1111-1-1-111-11-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-11-1-1-1111-1-1-11-11
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-11-1
χ9111111111111-1-11-1-11111111-1-11-1-11111-1-111-111-11-1-11-1-1-1-111-1-1
χ10111111111111-1-11-1-11111111-1-11-1-11111-1-1-1-11-1-111-1-11-1-111-1-111
χ11111111111111-1-11-1-11111111-1-11-1-1-1-1-1-1-1-111-111-1-111-111-1-1-1-111
χ12111111111111-1-11-1-11111111-1-11-1-1-1-1-1-1-1-1-1-11-1-11-111-1111111-1-1
χ13111111111111-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-111111-1-11
χ14111111111111-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-1-111-1-1-111-1
χ15111111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-111-111-1
χ16111111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1111-1-1-1-11-1-11
χ17222222-2-222-2222-222-2000000-2-20000000002-2-2002000000000000
χ18222222-2-222-2222-222-2000000-2-2000000000-22200-2000000000000
χ19222222-2-222-22-2-2-2-2-2-2000000220000000002-2200-2000000000000
χ20222222-2-222-22-2-2-2-2-2-200000022000000000-22-2002000000000000
χ2122222-2222-2-2-222-2-2-222222-2-22-2-2220000-2-2000000000000000000
χ2222222-2222-2-2-222-2-2-22-2-2-2-2222-22-2-2000022000000000000000000
χ2322222-2222-2-2-2-2-2-22222222-2-2-22-2-2-2000022000000000000000000
χ2422222-2222-2-2-2-2-2-2222-2-2-2-222-222220000-2-2000000000000000000
χ2522222-2-2-22-22-2222-2-2-2000000-220000000000002i−2i00000002i−2i0000
χ2622222-2-2-22-22-2222-2-2-2000000-22000000000000−2i2i0000000−2i2i0000
χ2722222-2-2-22-22-2-2-2222-20000002-20000000000002i−2i0000000−2i2i0000
χ2822222-2-2-22-22-2-2-2222-20000002-2000000000000−2i2i00000002i−2i0000
χ292222-2222-22-2-200200-222-2-22200-200222200000000-200-200000000
χ302222-2222-22-2-200200-222-2-22200-200-2-2-2-200000000200200000000
χ312222-2222-22-2-200200-2-2-222-2-20020022-2-200000000-200200000000
χ322222-2222-22-2-200200-2-2-222-2-200200-2-22200000000200-200000000
χ332222-2-222-2-22200-200-222-2-2-2-20020000000000000002i−2i02i−2i000000
χ342222-2-222-2-22200-200-222-2-2-2-2002000000000000000−2i2i0−2i2i000000
χ352222-2-222-2-22200-200-2-2-2222200-20000000000000002i−2i0−2i2i000000
χ362222-2-222-2-22200-200-2-2-2222200-2000000000000000−2i2i02i−2i000000
χ374444-44-4-4-444-400-400400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4400400400000000000000000000000000000000000
χ394-44-4004-4000000000000004i−4i0000022−222i2−2i200000000000000000000
χ404-44-4004-4000000000000004i−4i00000−2222−2i22i200000000000000000000
χ414-44-4004-400000000000000−4i4i0000022−22−2i22i200000000000000000000
χ424-44-4004-400000000000000−4i4i00000−22222i2−2i200000000000000000000
χ434-4-444000-40004i−4i000022−2222−22000002i2−2i2000000000000000000000000
χ444-4-444000-40004i−4i0000−2222−222200000−2i22i2000000000000000000000000
χ454-4-444000-4000−4i4i000022−2222−2200000−2i22i2000000000000000000000000
χ464-4-444000-4000−4i4i0000−2222−2222000002i2−2i2000000000000000000000000
χ474-4-44-400040000004-4022−22−22220000000000022−22000000000000000000
χ484-4-44-400040000004-40−222222−2200000000000−2222000000000000000000
χ494-4-44-40004000000-44022−22−222200000000000−2222000000000000000000
χ504-4-44-40004000000-440−222222−220000000000022−22000000000000000000
χ5188-8-808000-80000000000000000000000000000000000000000000
χ5288-8-80-800080000000000000000000000000000000000000000000
χ538-88-800-88000000000000000000000000000000000000000000000

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