Finite Group Databasebeta

← Group #512007

Character table — Group #512007

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11222222222224444444444444444888888888888888888888161616161616161632323232
order1222244448888224444888888888822224444444888888888816161616161616164488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-11111111-1-1-1-1111-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-1-1-11111111-1-1-1-1111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-11111111-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-11111111-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111-1-1111111-1-111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111-1-1111111-1-111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-11-11
χ12111111111-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111-11-1
χ13111111111-1-111-1-1-1-1-1-111-1-1-11111111-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111-1-111-1-1-1-1-1-111-1-1-11111111-1-111-1-1-111-1-1-1-1-1-11111-1-11111-1-1-111-1
χ15111111111-1-111-1-1-1-1-1-111-1-1-111111-1-111-1-111-111-1-11111-1-1-1-111-1-1-1-111-111-1
χ16111111111-1-111-1-1-1-1-1-111-1-1-111111-1-111-1-111-111-1-11111-1-1-1-1-1-11111-1-11-1-11
χ1722222222222-2-22222-2-2-2-22222222-200000000-2-2-2-2-200000000000000000000
χ1822222222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-200000000-2222200000000000000000000
χ19222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-200000000222-2-200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222-2-2-2-2-22222-2000000002-2-22200000000000000000000
χ21222-2-222-2-200222-22-200-2-200000002000000000002-22i2i−2i−2i2i2i−2i−2i000000000000
χ22222-2-222-2-200222-22-200-2-200000002000000000002-2−2i−2i2i2i−2i−2i2i2i000000000000
χ23222-2-222-2-20022-22-2200-2-20000000200000000000-222i2i−2i−2i−2i−2i2i2i000000000000
χ24222-2-222-2-20022-22-2200-2-20000000200000000000-22−2i−2i2i2i2i2i−2i−2i000000000000
χ25222-2-222-2-200-2-22-22-200220000000-22-2222-2-2-2000-2200000000000000000000
χ26222-2-222-2-200-2-22-22-200220000000-2-22-2-2-2222000-2200000000000000000000
χ27222-2-222-2-200-2-2-22-2200220000000-22-2-2-22-2220002-200000000000000000000
χ28222-2-222-2-200-2-2-22-2200220000000-2-2222-22-2-20002-200000000000000000000
χ2922-22-22-2-2222002-2-2200002-2-222-2-20000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ3022-22-22-2-2222002-2-2200002-2-222-2-20000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ3122-22-22-2-222200-222-200002-2-2-2-2220000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ3222-22-22-2-222200-222-200002-2-2-2-2220000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ3322-22-22-2-22-2-2002-2-220000-222-2-2220000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ3422-22-22-2-22-2-2002-2-220000-222-2-2220000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ3522-22-22-2-22-2-200-222-20000-22222-2-20000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ3622-22-22-2-22-2-200-222-20000-22222-2-20000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ3722-22-2-222-200220000002-20002i−2i2i−2i-2002-2002-202i−2i002i−2i2i−2i0000000000000000
χ3822-22-2-222-200220000002-20002i−2i2i−2i-200-2200-2202i−2i00−2i2i−2i2i0000000000000000
χ3922-22-2-222-200220000002-2000−2i2i−2i2i-2002-2002-20−2i2i00−2i2i−2i2i0000000000000000
χ4022-22-2-222-200220000002-2000−2i2i−2i2i-200-2200-220−2i2i002i−2i2i−2i0000000000000000
χ4122-22-2-222-200-2-2000000-220002i−2i2i−2i22200-2-2000−2i2i0000002i−2i2i−2i000000000000
χ4222-22-2-222-200-2-2000000-220002i−2i2i−2i2-2-20022000−2i2i000000−2i2i−2i2i000000000000
χ4322-22-2-222-200-2-2000000-22000−2i2i−2i2i22200-2-20002i−2i000000−2i2i−2i2i000000000000
χ4422-22-2-222-200-2-2000000-22000−2i2i−2i2i2-2-200220002i−2i0000002i−2i2i−2i000000000000
χ4522-2-22-22-222222000022-22-22-20000-22-200-2200-200002-2-220000000000000000
χ4622-2-22-22-222222000022-22-22-20000-2-22002-200-20000-222-20000000000000000
χ4722-2-22-22-2222-2-20000-2-22-2-22-200002002-200-222000000002-2-22000000000000
χ4822-2-22-22-2222-2-20000-2-22-2-22-20000200-22002-2200000000-222-2000000000000
χ4922-2-22-22-22-2-2220000-2-2-222-220000-22-200-220020000-222-20000000000000000
χ5022-2-22-22-22-2-2220000-2-2-222-220000-2-22002-200200002-2-220000000000000000
χ5122-2-22-22-22-2-2-2-20000222-22-2200002002-200-22-200000000-222-2000000000000
χ5222-2-22-22-22-2-2-2-20000222-22-220000200-22002-2-2000000002-2-22000000000000
χ5344444-4-4-4-40000000000000004i−4i−4i4i0000000000000000000000000000000000
χ5444444-4-4-4-4000000000000000−4i4i4i−4i0000000000000000000000000000000000
χ55444-4-4-4-444440000000000-4-4400000000000000000000000000000000000000
χ56444-4-4-4-444-4-4000000000044-400000000000000000000000000000000000000
χ5744-4-444-44-4000044-4-4000000000000000000000000000000000000000000000
χ5844-4-444-44-40000-4-444000000000000000000000000000000000000000000000
χ598-8000000042−424i2−4i200004i−4i0000000000000000000000000000000000000000000
χ608-8000000042−42−4i24i20000−4i4i0000000000000000000000000000000000000000000
χ618-80000000−42424i2−4i20000−4i4i0000000000000000000000000000000000000000000
χ628-80000000−4242−4i24i200004i−4i0000000000000000000000000000000000000000000

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