Finite Group Databasebeta

← Group #148586

Character table — Group #148586

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11222222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222222222444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222-2-222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ1822222222222-2-222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222222-2-222-2-222-2-2-2-222-2-2-2-222000000000000000000000000
χ20222222222-2-222-2-222-2-2-2-2-2-22222-2-2000000000000000000000000
χ212222-2-2-2-222-22-22-22-222-2-20000000000002i−2i2i−2i0000000000000000
χ222222-2-2-2-222-22-22-22-222-2-2000000000000−2i2i−2i2i0000000000000000
χ232222-2-2-2-222-2-222-2-22-2-222000000002i−2i2i−2i00000000000000000000
χ242222-2-2-2-222-2-222-2-22-2-22200000000−2i2i−2i2i00000000000000000000
χ252222-2-2-2-22-222-2-222-2-2-222000000002i−2i−2i2i00000000000000000000
χ262222-2-2-2-22-222-2-222-2-2-22200000000−2i2i2i−2i00000000000000000000
χ272222-2-2-2-22-22-22-22-2222-2-20000000000002i−2i−2i2i0000000000000000
χ282222-2-2-2-22-22-22-22-2222-2-2000000000000−2i2i2i−2i0000000000000000
χ2922-2-222-2-22222-2-2-2-222-22-200000000000000002i−2i2i−2i000000000000
χ3022-2-222-2-22222-2-2-2-222-22-20000000000000000−2i2i−2i2i000000000000
χ3122-2-222-2-2222-22-2-22-2-22-22000000000000000000002i−2i2i−2i00000000
χ3222-2-222-2-2222-22-2-22-2-22-2200000000000000000000−2i2i−2i2i00000000
χ3322-2-222-2-22-2-22-222-22-22-22000000000000000000002-2-2200000000
χ3422-2-222-2-22-2-22-222-22-22-2200000000000000000000-222-200000000
χ3522-2-222-2-22-2-2-22222-22-22-200000000000000002-2-22000000000000
χ3622-2-222-2-22-2-2-22222-22-22-20000000000000000-222-2000000000000
χ3722-2-2-2-22222-222-22-2-22-2-2200000000000000000000000000002i−2i2i−2i
χ3822-2-2-2-22222-222-22-2-22-2-220000000000000000000000000000−2i2i−2i2i
χ3922-2-2-2-22222-2-2-2-2222-222-20000000000000000000000002-22-20000
χ4022-2-2-2-22222-2-2-2-2222-222-2000000000000000000000000-22-220000
χ4122-2-2-2-2222-22222-2-2-2-222-20000000000000000000000002i−2i−2i2i0000
χ4222-2-2-2-2222-22222-2-2-2-222-2000000000000000000000000−2i2i2i−2i0000
χ4322-2-2-2-2222-22-2-22-2222-2-2200000000000000000000000000002-2-22
χ4422-2-2-2-2222-22-2-22-2222-2-220000000000000000000000000000-222-2
χ45444-44-44-4-40000000000000000004i−4i000000000000000000000000
χ46444-44-44-4-4000000000000000000−4i4i000000000000000000000000
χ47444-4-44-44-400000000000000004i−4i00000000000000000000000000
χ48444-4-44-44-40000000000000000−4i4i00000000000000000000000000
χ4944-444-4-44-4000000000000004i−4i0000000000000000000000000000
χ5044-444-4-44-400000000000000−4i4i0000000000000000000000000000
χ5144-44-444-4-40000000000004i−4i000000000000000000000000000000
χ5244-44-444-4-4000000000000−4i4i000000000000000000000000000000
χ5316-16000000000000000000000000000000000000000000000000000

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