Finite Group Databasebeta

← Group #176033

Character table — Group #176033

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422244422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-111-11-1-11-1-111-1111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-111-11-1-11-1-1-1-1-11-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-11-11-1-11-11111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-11-11-1-11-111-1-1-1-1-1-111111111-1-1-1-1
χ9111111111-1-11-1-11111-111-1-1-1111-11-1-1-1111-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-111-1-1-1111-11-1-1-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-11-1-11111-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-11111-111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-111-1-1
χ13111111111-1-11-1-11111-1-1-111-11-111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-11111-1-1-111-11-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ15111111111-1-11-1-11111-1-1-111-1-11-1111-1-111-11-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-111-1-11-1111-1-1-1-1-111111-1-111-1-1-1-111
χ1722222222222-2-2-2-22-2-2222-2-2-20002000000-2000000000000000
χ1822222222222-2-2-2-22-2-22-2-222-2000-20000002000000000000000
χ19222222222-2-2-222-22-2-2-222222000-2000000-2000000000000000
χ20222222222-2-2-222-22-2-2-2-2-2-2-2200020000002000000000000000
χ2122222222-2222-2-2-2-22-2-20000220-200-200000200000000000000
χ2222222222-2222-2-2-2-22-2-200002-20200200000-200000000000000
χ2322222222-222-2222-2-22-20000-20200-202-2000000000000000000
χ2422222222-222-2222-2-22-20000-20-20020-22000000000000000000
χ2522222222-2-2-2222-2-22-220000-220-200200000-200000000000000
χ2622222222-2-2-2222-2-22-220000-2-20200-200000200000000000000
χ2722222222-2-2-2-2-2-22-2-222000020200-20-22000000000000000000
χ2822222222-2-2-2-2-2-22-2-222000020-200202-2000000000000000000
χ294444-4-4-4-44000000-40004-400000000000000000000000000000
χ304444-4-4-4-44000000-4000-4400000000000000000000000000000
χ314444-4-4-4-4-40000004000004i−4i000000000000000000000000000
χ324444-4-4-4-4-4000000400000−4i4i000000000000000000000000000
χ3344-4-444-4-400004-40000000000000000002i−2i002i−2i000000000000
χ3444-4-444-4-400004-4000000000000000000−2i2i00−2i2i000000000000
χ3544-4-444-4-40000-440000000000000000002i−2i00−2i2i000000000000
χ3644-4-444-4-40000-44000000000000000000−2i2i002i−2i000000000000
χ374-44-44-44-404i−4i00000000000000000000000000000002-22i−2i0000
χ384-44-44-44-404i−4i0000000000000000000000000000000-22−2i2i0000
χ394-44-44-44-40−4i4i00000000000000000000000000000002-2−2i2i0000
χ404-44-44-44-40−4i4i0000000000000000000000000000000-222i−2i0000
χ414-44-4-44-44000000400-4000000000000000000002i2−2i20000000000
χ424-44-4-44-44000000400-400000000000000000000−2i22i20000000000
χ434-44-4-44-44000000-4004000000000000000000000022−2200000000
χ444-44-4-44-44000000-40040000000000000000000000−222200000000
χ454-4-444-4-4400040000-4000000000000000000000000000002i2−2i200
χ464-4-444-4-4400040000-400000000000000000000000000000−2i22i200
χ474-4-444-4-44000-400004000000000000000000000000000000022−22
χ484-4-444-4-44000-4000040000000000000000000000000000000−2222
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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