Finite Group Databasebeta

← Group #77945

Character table — Group #77945

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11111111444444444444442222222288888888888888333333331212121212121212121212121212
order12222222444444444444443666666612121212121212121212121212122222222244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ511111111-1-111-1-111-1-111-1-111111111-1-111-1-111-1-111-1-111111111-1-111-1-111-1-111-1-1
χ611111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-111
χ711111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ811111111-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-11111-1-1
χ9222-22-2-2-2002-20000000000222-22-2-2-2002-20000000000222-22-2-2-2002-20000000000
χ10222-22-2-2-200-220000000000222-22-2-2-200-220000000000222-22-2-2-200-220000000000
χ1122-22-22-2-22-200000000000022-22-22-2-22-200000000000022-22-22-2-22-2000000000000
χ1222-22-22-2-2-2200000000000022-22-22-2-2-2200000000000022-22-22-2-2-22000000000000
χ1322-2-2-2-22200002-20000000022-2-2-2-22200002-20000000022-2-2-2-22200002-200000000
χ1422-2-2-2-2220000-220000000022-2-2-2-2220000-220000000022-2-2-2-2220000-2200000000
χ152-222-2-2-220000002i−2i0000002-222-2-2-220000002i−2i0000002-222-2-2-220000002i−2i000000
χ162-222-2-2-22000000−2i2i0000002-222-2-2-22000000−2i2i0000002-222-2-2-22000000−2i2i000000
χ172-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i00
χ182-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i00
χ192-2-222-22-2000000002i−2i00002-2-222-22-2000000002i−2i00002-2-222-22-2000000002i−2i0000
χ202-2-222-22-200000000−2i2i00002-2-222-22-200000000−2i2i00002-2-222-22-200000000−2i2i0000
χ212-2-2-222-220000000000002-22-2-2-222-220000000000002-22-2-2-222-220000000000002-2
χ222-2-2-222-22000000000000-222-2-2-222-22000000000000-222-2-2-222-22000000000000-22
χ2311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2411111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ251111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ2711111111-1-111-1-111-1-111-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ2811111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ2911111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ3011111111-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ31222-22-2-2-2002-20000000000222-22-2-2-2002-20000000000-2-2-22-222200-220000000000
χ32222-22-2-2-200-220000000000222-22-2-2-200-220000000000-2-2-22-2222002-20000000000
χ3322-22-22-2-22-200000000000022-22-22-2-22-2000000000000-2-22-22-222-22000000000000
χ3422-22-22-2-2-2200000000000022-22-22-2-2-22000000000000-2-22-22-2222-2000000000000
χ3522-2-2-2-22200002-20000000022-2-2-2-22200002-200000000-2-22222-2-20000-2200000000
χ3622-2-2-2-2220000-220000000022-2-2-2-2220000-2200000000-2-22222-2-200002-200000000
χ372-222-2-2-220000002i−2i0000002-222-2-2-220000002i−2i000000-22-2-2222-2000000−2i2i000000
χ382-222-2-2-22000000−2i2i0000002-222-2-2-22000000−2i2i000000-22-2-2222-20000002i−2i000000
χ392-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i00-22-222-2-220000000000−2i2i00
χ402-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i00-22-222-2-2200000000002i−2i00
χ412-2-222-22-2000000002i−2i00002-2-222-22-2000000002i−2i0000-222-2-22-2200000000−2i2i0000
χ422-2-222-22-200000000−2i2i00002-2-222-22-200000000−2i2i0000-222-2-22-22000000002i−2i0000
χ432-2-2-222-220000000000002-22-2-2-222-220000000000002-2-2222-2-22-2000000000000-22
χ442-2-2-222-22000000000000-222-2-2-222-22000000000000-22-2222-2-22-20000000000002-2
χ452222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ4622222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000
χ472222222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000000000
χ482222222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000000000
χ4922222222-2-222-2-222-2-222-2-2-1-1-1-1-1-1-1-111-1-111-1-111-1-1110000000000000000000000
χ5022222222-2-222-2-2-2-222-2-222-1-1-1-1-1-1-1-111-1-11111-1-111-1-10000000000000000000000
χ5122222222-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-11111-1-1-1-11111-1-10000000000000000000000
χ5222222222-2-2-2-222-2-22222-2-2-1-1-1-1-1-1-1-11111-1-111-1-1-1-1110000000000000000000000
χ53444-44-4-4-4004-40000000000-2-2-22-222200-2200000000000000000000000000000000
χ54444-44-4-4-400-440000000000-2-2-22-2222002-200000000000000000000000000000000
χ5544-44-44-4-44-4000000000000-2-22-22-222-220000000000000000000000000000000000
χ5644-44-44-4-4-44000000000000-2-22-22-2222-20000000000000000000000000000000000
χ5744-4-4-4-44400004-400000000-2-22222-2-20000-22000000000000000000000000000000
χ5844-4-4-4-4440000-4400000000-2-22222-2-200002-2000000000000000000000000000000
χ594-444-4-4-440000004i−4i000000-22-2-2222-2000000−2i2i0000000000000000000000000000
χ604-444-4-4-44000000−4i4i000000-22-2-2222-20000002i−2i0000000000000000000000000000
χ614-44-4-444-400000000004i−4i00-22-222-2-220000000000−2i2i000000000000000000000000
χ624-44-4-444-40000000000−4i4i00-22-222-2-2200000000002i−2i000000000000000000000000
χ634-4-444-44-4000000004i−4i0000-222-2-22-2200000000−2i2i00000000000000000000000000
χ644-4-444-44-400000000−4i4i0000-222-2-22-22000000002i−2i00000000000000000000000000
χ654-4-4-444-440000000000004-4-2222-2-22-2000000000000-220000000000000000000000
χ664-4-4-444-44000000000000-44-2222-2-22-20000000000002-20000000000000000000000

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