Finite Group Databasebeta

← Group #76752

Character table — Group #76752

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11111111444444444444442222222288888888888888333333331212121212121212121212121212
order12222222222222444444443666666666666612121212121212122222222222222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1
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
χ511111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1
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
χ811111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1
χ92222-2-2-2-20000000000002i−2i2222-2-2-2-20000000000002i−2i2222-2-2-2-20000000000002i−2i
χ102222-2-2-2-2000000000000−2i2i2222-2-2-2-2000000000000−2i2i2222-2-2-2-2000000000000−2i2i
χ1122-2-222-2-200000000002-20022-2-222-2-200000000002-20022-2-222-2-200000000002-200
χ1222-2-222-2-20000000000-220022-2-222-2-20000000000-220022-2-222-2-20000000000-2200
χ1322-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-2000000000000
χ1422-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-22000000000000
χ152-22-22-22-2000000002-200002-22-22-22-2000000002-200002-22-22-22-2000000002-20000
χ162-22-22-22-200000000-2200002-22-22-22-200000000-2200002-22-22-22-200000000-220000
χ172-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-20000000000
χ182-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-220000000000
χ192-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-2000000
χ202-2-222-2-22000000-220000002-2-222-2-22000000-220000002-2-222-2-22000000-22000000
χ212-2-22-222-200002-2000000002-2-22-222-200002-2000000002-2-22-222-200002-200000000
χ222-2-22-222-20000-22000000002-2-22-222-20000-22000000002-2-22-222-20000-2200000000
χ2311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ251111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
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
χ2711111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
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
χ3011111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ312222-2-2-2-20000000000002i−2i2222-2-2-2-20000000000002i−2i-2-2-2-22222000000000000−2i2i
χ322222-2-2-2-2000000000000−2i2i2222-2-2-2-2000000000000−2i2i-2-2-2-222220000000000002i−2i
χ3322-2-222-2-200000000002-20022-2-222-2-200000000002-200-2-222-2-2220000000000-2200
χ3422-2-222-2-20000000000-220022-2-222-2-20000000000-2200-2-222-2-22200000000002-200
χ3522-2-2-2-2222-200000000000022-2-2-2-2222-2000000000000-2-22222-2-2-22000000000000
χ3622-2-2-2-222-2200000000000022-2-2-2-222-22000000000000-2-22222-2-22-2000000000000
χ372-22-22-22-2000000002-200002-22-22-22-2000000002-20000-22-22-22-2200000000-220000
χ382-22-22-22-200000000-2200002-22-22-22-200000000-220000-22-22-22-22000000002-20000
χ392-22-2-22-22002-200000000002-22-2-22-22002-20000000000-22-222-22-200-220000000000
χ402-22-2-22-2200-2200000000002-22-2-22-2200-220000000000-22-222-22-2002-20000000000
χ412-2-222-2-220000002-20000002-2-222-2-220000002-2000000-222-2-222-2000000-22000000
χ422-2-222-2-22000000-220000002-2-222-2-22000000-22000000-222-2-222-20000002-2000000
χ432-2-22-222-200002-2000000002-2-22-222-200002-200000000-222-22-2-220000-2200000000
χ442-2-22-222-20000-22000000002-2-22-222-20000-2200000000-222-22-2-2200002-200000000
χ452222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ46222222222222-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111-1-11111110000000000000000000000
χ472222222222-2-222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-111-1-111110000000000000000000000
χ482222222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000000000
χ4922222222-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-111-1-1-1-11111-1-1110000000000000000000000
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
χ5222222222-2-2-2-2-2-2222222-2-2-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1110000000000000000000000
χ534444-4-4-4-40000000000004i−4i-2-2-2-22222000000000000−2i2i0000000000000000000000
χ544444-4-4-4-4000000000000−4i4i-2-2-2-222220000000000002i−2i0000000000000000000000
χ5544-4-444-4-400000000004-400-2-222-2-2220000000000-22000000000000000000000000
χ5644-4-444-4-40000000000-4400-2-222-2-22200000000002-2000000000000000000000000
χ5744-4-4-4-4444-4000000000000-2-22222-2-2-220000000000000000000000000000000000
χ5844-4-4-4-444-44000000000000-2-22222-2-22-20000000000000000000000000000000000
χ594-44-44-44-4000000004-40000-22-22-22-2200000000-2200000000000000000000000000
χ604-44-44-44-400000000-440000-22-22-22-22000000002-200000000000000000000000000
χ614-44-4-44-44004-40000000000-22-222-22-200-2200000000000000000000000000000000
χ624-44-4-44-4400-440000000000-22-222-22-2002-200000000000000000000000000000000
χ634-4-444-4-440000004-4000000-222-2-222-2000000-220000000000000000000000000000
χ644-4-444-4-44000000-44000000-222-2-222-20000002-20000000000000000000000000000
χ654-4-44-444-400004-400000000-222-22-2-220000-22000000000000000000000000000000
χ664-4-44-444-40000-4400000000-222-22-2-2200002-2000000000000000000000000000000

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