Finite Group Databasebeta

← Group #402170

Character table — Group #402170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111122222222222222222244444488888888888888888888888816161616161616161616161616161616
order12442222222444444444444444442244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1011111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1211111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1
χ17222222-2-22-2-22-2-2000022-2-20000000000000000002i2i−2i−2i2i2i−2i−2i22-2-20000000000000000
χ18222222-2-22-2-22-2-2000022-2-20000000000000000002i2i−2i−2i−2i−2i2i2i-2-2220000000000000000
χ19222222-2-22-2-22-2-2000022-2-2000000000000000000−2i−2i2i2i2i2i−2i−2i-2-2220000000000000000
χ20222222-2-22-2-22-2-2000022-2-2000000000000000000−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000
χ2122222-22-2-22-2-22-200002-22-20000002-22-22i2i−2i−2i0000000000002i−2i2i−2i0000000000000000
χ2222222-22-2-22-2-22-200002-22-20000002-22-2−2i−2i2i2i000000000000−2i2i−2i2i0000000000000000
χ2322222-22-2-22-2-22-200002-22-2000000-22-222i2i−2i−2i000000000000−2i2i−2i2i0000000000000000
χ2422222-22-2-22-2-22-200002-22-2000000-22-22−2i−2i2i2i0000000000002i−2i2i−2i0000000000000000
χ2522222-2-22-2-22-2-2222222-2-2222-2-2-2-2000000002i2i−2i−2i000000002i−2i−2i2i0000000000000000
χ2622222-2-22-2-22-2-2222222-2-2222-2-2-2-200000000−2i−2i2i2i00000000−2i2i2i−2i0000000000000000
χ2722222-2-22-2-22-2-22-2-2-2-22-2-22-2-22222000000002i2i−2i−2i00000000−2i2i2i−2i0000000000000000
χ2822222-2-22-2-22-2-22-2-2-2-22-2-22-2-2222200000000−2i−2i2i2i000000002i−2i−2i2i0000000000000000
χ292222-22-2-2-2222-222222-2-22-2-2-222-2-2000000000000000000000000002i−2i000000002i−2i00
χ302222-22-2-2-2222-222222-2-22-2-2-222-2-200000000000000000000000000−2i2i00000000−2i2i00
χ312222-22-2-2-2222-22-2-2-2-2-2-22-222-2-222000000000000000000000000002i−2i00000000−2i2i00
χ322222-22-2-2-2222-22-2-2-2-2-2-22-222-2-22200000000000000000000000000−2i2i000000002i−2i00
χ332222-2-22-22-22-2222222-22-2-2-2-2-2-22200000000000000000000000000002i−2i00002i−2i0000
χ342222-2-22-22-22-2222222-22-2-2-2-2-2-2220000000000000000000000000000−2i2i0000−2i2i0000
χ352222-2-22-22-22-222-2-2-2-2-22-2-22222-2-200000000000000000000000000002i−2i0000−2i2i0000
χ362222-2-22-22-22-222-2-2-2-2-22-2-22222-2-20000000000000000000000000000−2i2i00002i−2i0000
χ3722-2-22222222-2-2-20000-2-2-2-200000000002-22-22-22-22-22-2000000000000000000000000
χ3822-2-22222222-2-2-20000-2-2-2-200000000002-22-2-22-22-22-22000000000000000000000000
χ3922-2-22222222-2-2-20000-2-2-2-20000000000-22-222-22-2-22-22000000000000000000000000
χ4022-2-22222222-2-2-20000-2-2-2-20000000000-22-22-22-222-22-2000000000000000000000000
χ4122-2-222-2-22-2-2-2222i2i−2i−2i-2-2222i−2i2i−2i2i−2i2-2-22000000002i−2i−2i2i000000000000000000000000
χ4222-2-222-2-22-2-2-2222i2i−2i−2i-2-2222i−2i2i−2i2i−2i-222-200000000−2i2i2i−2i000000000000000000000000
χ4322-2-222-2-22-2-2-222−2i−2i2i2i-2-222−2i2i−2i2i−2i2i2-2-2200000000−2i2i2i−2i000000000000000000000000
χ4422-2-222-2-22-2-2-222−2i−2i2i2i-2-222−2i2i−2i2i−2i2i-222-2000000002i−2i−2i2i000000000000000000000000
χ4522-2-22-22-2-22-22-222i2i−2i−2i-22-222i−2i−2i2i−2i2i00002i−2i−2i2i000000002-22-200000000000000000000
χ4622-2-22-22-2-22-22-222i2i−2i−2i-22-222i−2i−2i2i−2i2i0000−2i2i2i−2i00000000-22-2200000000000000000000
χ4722-2-22-22-2-22-22-22−2i−2i2i2i-22-22−2i2i2i−2i2i−2i00002i−2i−2i2i00000000-22-2200000000000000000000
χ4822-2-22-22-2-22-22-22−2i−2i2i2i-22-22−2i2i2i−2i2i−2i0000−2i2i2i−2i000000002-22-200000000000000000000
χ4922-2-22-2-22-2-2222-20000-222-200000022-2-200002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ5022-2-22-2-22-2-2222-20000-222-200000022-2-20000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ5122-2-22-2-22-2-2222-20000-222-2000000-2-22200002i−2i−2i2i00002i−2i−2i2i00000000000000000000
χ5222-2-22-2-22-2-2222-20000-222-2000000-2-2220000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
χ5322-2-2-2222-2-2-2-2-222i2i−2i−2i222-2−2i2i2i−2i−2i2i0000000000000000000000000000002i−2i0000002-2
χ5422-2-2-2222-2-2-2-2-222i2i−2i−2i222-2−2i2i2i−2i−2i2i000000000000000000000000000000−2i2i000000-22
χ5522-2-2-2222-2-2-2-2-22−2i−2i2i2i222-22i−2i−2i2i2i−2i0000000000000000000000000000002i−2i000000-22
χ5622-2-2-2222-2-2-2-2-22−2i−2i2i2i222-22i−2i−2i2i2i−2i000000000000000000000000000000−2i2i0000002-2
χ5722-2-2-2-2-2222-22222i2i−2i−2i2-2-2-2−2i2i−2i2i2i−2i0000000000000000000000002i−2i0000002-2000000
χ5822-2-2-2-2-2222-22222i2i−2i−2i2-2-2-2−2i2i−2i2i2i−2i000000000000000000000000−2i2i000000-22000000
χ5922-2-2-2-2-2222-2222−2i−2i2i2i2-2-2-22i−2i2i−2i−2i2i0000000000000000000000002i−2i000000-22000000
χ6022-2-2-2-2-2222-2222−2i−2i2i2i2-2-2-22i−2i2i−2i−2i2i000000000000000000000000−2i2i0000002-2000000
χ614444-4444-4-4-444-40000-4-4-440000000000000000000000000000000000000000000000
χ624444-4-4-4444-4-4-4-40000-44440000000000000000000000000000000000000000000000
χ6344-4-4-44-4-4-444-44-4000044-440000000000000000000000000000000000000000000000
χ6444-4-4-4-44-44-444-4-400004-4440000000000000000000000000000000000000000000000
χ658-88i−8i00000000004+4i−4−4i4−4i−4+4i00000000000000000000000000000000000000000000000000
χ668-88i−8i0000000000−4−4i4+4i−4+4i4−4i00000000000000000000000000000000000000000000000000
χ678-8−8i8i00000000004−4i−4+4i4+4i−4−4i00000000000000000000000000000000000000000000000000
χ688-8−8i8i0000000000−4+4i4−4i−4−4i4+4i00000000000000000000000000000000000000000000000000

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