Finite Group Databasebeta

← Group #300435

Character table — Group #300435

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444448888888888888888888881616161616161616161632323232
order12222244888844444888824444444888888888888822444444884488
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-11-111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-11-11-1-111-1-111-1-1
χ911111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-111-1-11-11-1-1-11-11-1
χ1011111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-11-11
χ1111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-1-11-11
χ1211111111-1-1-1-111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-11-11-1
χ1311111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-11
χ1411111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-111-1-111-111-111-1
χ1511111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1111-111-1
χ1611111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1111-1-11
χ17222222222222-2-22-2-222-2-200000000-20000000000002020-2-200000000
χ18222222222222-2-22-2-222-2-200000000-2000000000000-20-202200000000
χ1922222222-2-2-2-2-2-22-2-2-2-22200000000200000000000020-20-2200000000
χ2022222222-2-2-2-2-2-22-2-2-2-222000000002000000000000-20202-200000000
χ21222222-2-20000-22-2-2200002-22-222-2-20000022-2-2000000000000000000
χ22222222-2-20000-22-2-2200002-22-2-2-22200000-2-222000000000000000000
χ23222222-2-20000-22-2-220000-22-2222-2-200000-2-222000000000000000000
χ24222222-2-20000-22-2-220000-22-22-2-2220000022-2-2000000000000000000
χ252222-2-22222222-2-2-22-2-2-2-22-2-2200002000000000000000000002-20000
χ262222-2-22222222-2-2-22-2-2-2-2-222-20000200000000000000000000-220000
χ272222-2-2222222-22-22-2-2-22200000000-2000000000000020200-2-2000000
χ282222-2-2222222-22-22-2-2-22200000000-20000000000000-20-20022000000
χ292222-2-222-2-2-2-22-2-2-2222222-2-220000-200000000000000000000-220000
χ302222-2-222-2-2-2-22-2-2-222222-222-20000-2000000000000000000002-20000
χ312222-2-222-2-2-2-2-22-22-222-2-2000000002000000000000020-200-22000000
χ322222-2-222-2-2-2-2-22-22-222-2-20000000020000000000000-202002-2000000
χ332222-2-2-2-20000-2-2222000022-2-20000022-2-2000022-2-200000000000000
χ342222-2-2-2-20000-2-2222000022-2-200000-2-2220000-2-22200000000000000
χ352222-2-2-2-20000-2-22220000-2-2220000022-2-20000-2-22200000000000000
χ362222-2-2-2-20000-2-22220000-2-22200000-2-222000022-2-200000000000000
χ37444444-4-400004-4-44-4000000000000000000000000000000000000000
χ384444-4-4-4-40000444-4-4000000000000000000000000000000000000000
χ394-44-4004-4000000000004i−4i00002i−2i2i−2i02-22-20000000000000000000000
χ404-44-4004-4000000000004i−4i0000−2i2i−2i2i0-22-220000000000000000000000
χ414-44-4004-400000000000−4i4i00002i−2i2i−2i0-22-220000000000000000000000
χ424-44-4004-400000000000−4i4i0000−2i2i−2i2i02-22-20000000000000000000000
χ434-44-400-444i4i−4i−4i00000000000002i−2i−2i2i02-2-220000000000000000000000
χ444-44-400-444i4i−4i−4i0000000000000−2i2i2i−2i0-222-20000000000000000000000
χ454-44-400-44−4i−4i4i4i00000000000002i−2i−2i2i0-222-20000000000000000000000
χ464-44-400-44−4i−4i4i4i0000000000000−2i2i2i−2i02-2-220000000000000000000000
χ474-4-444-4002i2−2i22i2−2i2000002i2−2i200000000000000022−22002i−2i2i−2i00000000000000
χ484-4-444-4002i2−2i22i2−2i2000002i2−2i2000000000000000−222200−2i2i−2i2i00000000000000
χ494-4-444-400−2i22i2−2i22i200000−2i22i200000000000000022−2200−2i2i−2i2i00000000000000
χ504-4-444-400−2i22i2−2i22i200000−2i22i2000000000000000−2222002i−2i2i−2i00000000000000
χ514-4-44-44002i2−2i22i2−2i200000−2i22i20000000000000000022−222i−2i−2i2i00000000000000
χ524-4-44-44002i2−2i22i2−2i200000−2i22i200000000000000000−2222−2i2i2i−2i00000000000000
χ534-4-44-4400−2i22i2−2i22i2000002i2−2i20000000000000000022−22−2i2i2i−2i00000000000000
χ544-4-44-4400−2i22i2−2i22i2000002i2−2i200000000000000000−22222i−2i−2i2i00000000000000
χ5588-8-8000042−42−424200000000000000000000000000000000000000000000
χ5688-8-80000−424242−4200000000000000000000000000000000000000000000

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