Finite Group Databasebeta

← Group #322111

Character table — Group #322111

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444488888888888822444444444488888888888888888824882224
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ10111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-11-11-1
χ17222222222-2-222-22-2-2-22222-2-2-2-200002200000000-2-20000000000000000002-2000000
χ18222222222-2-222-22-2-2-22222-2-2-2-20000-2-20000000022000000000000000000-22000000
χ19222222222-2-222-22-2-2-2-2-2-2-2222200002200000000-2-2000000000000000000-22000000
χ20222222222-2-222-22-2-2-2-2-2-2-222220000-2-200000000220000000000000000002-2000000
χ2122222222-222-2-22-22-2-20000000022220022-2-222-2-200-2-2000000000000000000000000
χ2222222222-222-2-22-22-2-200000000222200-2-222-2-22200-2-2000000000000000000000000
χ2322222222-222-2-22-22-2-200000000-2-2-2-20022-2-2-2-2220022000000000000000000000000
χ2422222222-222-2-22-22-2-200000000-2-2-2-200-2-22222-2-20022000000000000000000000000
χ25222-2-2-2-222-2-2-2-22222-20000000022-2-20000000000002-222-2-222-2-20000000000000000
χ26222-2-2-2-222-2-2-2-22222-20000000022-2-20000000000002-2-2-222-2-2220000000000000000
χ27222-2-2-2-222-2-2-2-22222-200000000-2-222000000000000-2222-2-2-2-2220000000000000000
χ28222-2-2-2-222-2-2-2-22222-200000000-2-222000000000000-22-2-22222-2-20000000000000000
χ29222-2-2-2-22-22222-2-2-22-222-2-222-2-2000000000000000000000000002i2i−2i−2i0000002i−2i0000
χ30222-2-2-2-22-22222-2-2-22-222-2-222-2-200000000000000000000000000−2i−2i2i2i000000−2i2i0000
χ31222-2-2-2-22-22222-2-2-22-2-2-222-2-222000000000000000000000000002i2i−2i−2i000000−2i2i0000
χ32222-2-2-2-22-22222-2-2-22-2-2-222-2-22200000000000000000000000000−2i−2i2i2i0000002i−2i0000
χ33222-2-2-2-22-2-2-2222-22-2222-2-2-2-22222-2-2000000000000-2200000000000022-2-200000000
χ34222-2-2-2-22-2-2-2222-22-2222-2-2-2-222-2-2220000000000002-2000000000000-2-22200000000
χ35222-2-2-2-22-2-2-2222-22-22-2-22222-2-222-2-2000000000000-22000000000000-2-22200000000
χ36222-2-2-2-22-2-2-2222-22-22-2-22222-2-2-2-2220000000000002-200000000000022-2-200000000
χ372-2-222-2-2202-200-202002−22−22−22−22-22-200002-2002-200002−22−22−22−200002−22−200000000
χ382-2-222-2-2202-200-202002−22−22−22−22-22-20000-2200-220000−22−22−22−2200002−22−200000000
χ392-2-222-2-2202-200-202002−22−22−22−2-22-2200002-200-2200002−22−2−22−220000−22−2200000000
χ402-2-222-2-2202-200-202002−22−22−22−2-22-220000-22002-20000−22−222−22−20000−22−2200000000
χ412-2-222-2-2202-200-20200−22−22−22−222-22-200002-2002-20000−22−22−22−220000−22−2200000000
χ422-2-222-2-2202-200-20200−22−22−22−222-22-20000-2200-2200002−22−22−22−20000−22−2200000000
χ432-2-222-2-2202-200-20200−22−22−22−22-22-2200002-200-220000−22−222−22−200002−22−200000000
χ442-2-222-2-2202-200-20200−22−22−22−22-22-220000-22002-200002−22−2−22−2200002−22−200000000
χ452-2-2-2-22220-2200-202002−2−22−222−22-2-22002-2002-20000002−2−222−2−2200002−2−2200000000
χ462-2-2-2-22220-2200-202002−2−22−222−22-2-2200-2200-22000000−222−2−222−200002−2−2200000000
χ472-2-2-2-22220-2200-202002−2−22−222−2-222-2002-200-220000002−2−22−222−20000−222−200000000
χ482-2-2-2-22220-2200-202002−2−22−222−2-222-200-22002-2000000−222−22−2−220000−222−200000000
χ492-2-2-2-22220-2200-20200−222−22−2−222-2-22002-2002-2000000−222−2−222−20000−222−200000000
χ502-2-2-2-22220-2200-20200−222−22−2−222-2-2200-2200-220000002−2−222−2−220000−222−200000000
χ512-2-2-2-22220-2200-20200−222−22−2−22-222-2002-200-22000000−222−22−2−2200002−2−2200000000
χ522-2-2-2-22220-2200-20200−222−22−2−22-222-200-22002-20000002−2−22−222−200002−2−2200000000
χ5344444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ54444-4-4-4-44444-4-4-44-4-4400000000000000000000000000000000000000000000000000
χ5544-44-44-4-44004-40-400000000000000000000000004i−4i00000000000000000000000000
χ5644-44-44-4-44004-40-40000000000000000000000000−4i4i00000000000000000000000000
χ5744-44-44-4-4-400-4404000000000000000000000000000000000000022−2222−22000000000000
χ5844-44-44-4-4-400-44040000000000000000000000000000000000000−2222−2222000000000000
χ5944-4-44-44-4400-440-400000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ6044-4-44-44-4400-440-40000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ6144-4-44-44-4-4004-4040000000000000004-4000000000000000000000000000000000000
χ6244-4-44-44-4-4004-404000000000000000-44000000000000000000000000000000000000
χ634-4-444-4-440-440040-40022−2222−22−2222−2222000000000000000000000000000000000000000000
χ644-4-444-4-440-440040-400−2222−222222−2222−22000000000000000000000000000000000000000000
χ654-4-4-4-444404-40040-40022−22−222222−22−2222000000000000000000000000000000000000000000
χ664-4-4-4-444404-40040-400−222222−22−222222−22000000000000000000000000000000000000000000
χ678-888-8-88-8000000000000000000000000000000000000000000000000000000000000
χ688-88-888-8-8000000000000000000000000000000000000000000000000000000000000

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