Finite Group Databasebeta

← Group #507093

Character table — Group #507093

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order1244222444888888888816161616161616164444448888161616161616161616161616444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ9111111111111111-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ10111111111111111-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ11111111111111111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ12111111111111111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
χ13111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ14111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ15111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-111-111-1
χ16111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-11111-1-11-1-11
χ172222222222-2-2-2-2-22222-200000000-2-22222-2-2-2-2000000000000000000000000
χ182222222222-2-2-2-2-22222-200000000-2-2-2-2-2-22222000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ212222-22-22-2-22222-20000-22222-2-2-2-200000000000000000000002i−2i2i−2i00000000
χ222222-22-22-2-22222-20000-22222-2-2-2-20000000000000000000000−2i2i−2i2i00000000
χ232222-22-22-2-22222-20000-2-2-2-2-2222200000000000000000000002i−2i−2i2i00000000
χ242222-22-22-2-22222-20000-2-2-2-2-222220000000000000000000000−2i2i2i−2i00000000
χ252222-2-22-22-20000022-2-2022−2−222−2−2002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i222−2−2000000000000
χ262222-2-22-22-20000022-2-2022−2−222−2−200−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i222−2−2000000000000
χ272222-2-22-22-20000022-2-20−2−222−2−222002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222000000000000
χ282222-2-22-22-20000022-2-20−2−222−2−22200−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222000000000000
χ292222-2-22-22-200000-2-222022−2−222−2−2002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2−2−222000000000000
χ302222-2-22-22-200000-2-222022−2−222−2−200−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2−2−222000000000000
χ312222-2-22-22-200000-2-2220−2−222−2−222002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i222−2−2000000000000
χ322222-2-22-22-200000-2-2220−2−222−2−22200−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i222−2−2000000000000
χ3322-2-22-2-222-222-2-2-22-22-222-22-22-22-22-200000000000000002-22-2000000000000
χ3422-2-22-2-222-222-2-2-22-22-22-22-22-22-222-20000000000000000-22-22000000000000
χ3522-2-22-2-222-222-2-2-2-22-2222-22-22-22-2-220000000000000000-22-22000000000000
χ3622-2-22-2-222-222-2-2-2-22-222-22-22-22-22-2200000000000000002-22-2000000000000
χ3722-2-22-2-222-2-2-22222-22-2-200000000-22000000002-22-22-22-20000000000000000
χ3822-2-22-2-222-2-2-22222-22-2-200000000-2200000000-22-22-22-220000000000000000
χ3922-2-22-2-222-2-2-2222-22-22-2000000002-2000000002-22-2-22-220000000000000000
χ4022-2-22-2-222-2-2-2222-22-22-2000000002-200000000-22-222-22-20000000000000000
χ4122-2-2-22-2-222000002-2-2202−2−222−2−220000002i−2i2i−2ii2−i2−i2i2i2−i2−i2i22−2−22000000000000
χ4222-2-2-22-2-222000002-2-2202−2−222−2−22000000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i22−2−22000000000000
χ4322-2-2-22-2-222000002-2-220−222−2−222−20000002i−2i2i−2i−i2i2i2−i2−i2i2i2−i2−222−2000000000000
χ4422-2-2-22-2-222000002-2-220−222−2−222−2000000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i2−222−2000000000000
χ4522-2-2-22-2-22200000-222-202−2−222−2−220000002i−2i−2i2ii2−i2−i2i2−i2i2i2−i2−222−2000000000000
χ4622-2-2-22-2-22200000-222-202−2−222−2−22000000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i2−222−2000000000000
χ4722-2-2-22-2-22200000-222-20−222−2−222−20000002i−2i−2i2i−i2i2i2−i2i2−i2−i2i22−2−22000000000000
χ4822-2-2-22-2-22200000-222-20−222−2−222−2000000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i22−2−22000000000000
χ4922-2-2-2-222-2222-2-220000-22-22-2-22-22000000000000000000000000002i−2i2i−2i0000
χ5022-2-2-2-222-2222-2-220000-22-22-2-22-2200000000000000000000000000−2i2i−2i2i0000
χ5122-2-2-2-222-2222-2-220000-2-22-222-22-2000000000000000000000000002i−2i−2i2i0000
χ5222-2-2-2-222-2222-2-220000-2-22-222-22-200000000000000000000000000−2i2i2i−2i0000
χ5344444-4-4-4-4400000000002222−22−22−22−2222220000000000000000000000000000000000
χ5444444-4-4-4-440000000000−22−2222222222−22−220000000000000000000000000000000000
χ554444-44-44-4-4-4-4-4-4400004000000000000000000000000000000000000000000
χ5644-4-4444-4-4-4000000000022−22−2222−222222−220000000000000000000000000000000000
χ5744-4-4444-4-4-40000000000−222222−2222−22−22220000000000000000000000000000000000
χ5844-4-4-4-444-44-4-444-400004000000000000000000000000000000000000000000
χ598-88i−8i00000042−424i2−4i2000000000000000000000000000000000000000000000000
χ608-88i−8i000000−4242−4i24i2000000000000000000000000000000000000000000000000
χ618-8−8i8i00000042−42−4i24i2000000000000000000000000000000000000000000000000
χ628-8−8i8i000000−42424i2−4i2000000000000000000000000000000000000000000000000

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