Finite Group Databasebeta

← Group #78340

Character table — Group #78340

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11111111444444444444442222222288888888888888333333331212121212121212121212121212
order12222222444444444444443666666612121212121212121212121212122222222244444444444444
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
χ92222-2-2-2-200002-2000000002222-2-2-2-200002-2000000002222-2-2-2-200002-200000000
χ102222-2-2-2-20000-22000000002222-2-2-2-20000-22000000002222-2-2-2-20000-2200000000
χ1122-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i0000
χ1222-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i0000
χ1322-2-2-22-222i−2i00000000000022-2-2-22-222i−2i00000000000022-2-2-22-222i−2i000000000000
χ1422-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i000000000000
χ152-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i0000000000
χ162-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i0000000000
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
χ192-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i
χ202-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i
χ212-2-22-2-2220000002-20000002-2-22-2-2220000002-20000002-2-22-2-2220000002-2000000
χ222-2-22-2-222000000-220000002-2-22-2-222000000-220000002-2-22-2-222000000-22000000
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
χ312222-2-2-2-200002-2000000002222-2-2-2-200002-200000000-2-2-2-222220000-2200000000
χ322222-2-2-2-20000-22000000002222-2-2-2-20000-2200000000-2-2-2-2222200002-200000000
χ3322-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i0000-2-222-22-2200000000−2i2i0000
χ3422-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i0000-2-222-22-22000000002i−2i0000
χ3522-2-2-22-222i−2i00000000000022-2-2-22-222i−2i000000000000-2-2222-22-2−2i2i000000000000
χ3622-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i000000000000-2-2222-22-22i−2i000000000000
χ372-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i0000000000-22-22-222-200−2i2i0000000000
χ382-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i0000000000-22-22-222-2002i−2i0000000000
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
χ412-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i-222-2-2-222000000000000−2i2i
χ422-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i-222-2-2-2220000000000002i−2i
χ432-2-22-2-2220000002-20000002-2-22-2-2220000002-2000000-222-222-2-2000000-22000000
χ442-2-22-2-222000000-220000002-2-22-2-222000000-22000000-222-222-2-20000002-2000000
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
χ534444-4-4-4-400004-400000000-2-2-2-222220000-22000000000000000000000000000000
χ544444-4-4-4-40000-4400000000-2-2-2-2222200002-2000000000000000000000000000000
χ5544-4-44-44-4000000004i−4i0000-2-222-22-2200000000−2i2i00000000000000000000000000
χ5644-4-44-44-400000000−4i4i0000-2-222-22-22000000002i−2i00000000000000000000000000
χ5744-4-4-44-444i−4i000000000000-2-2222-22-2−2i2i0000000000000000000000000000000000
χ5844-4-4-44-44−4i4i000000000000-2-2222-22-22i−2i0000000000000000000000000000000000
χ594-44-44-4-44004i−4i0000000000-22-22-222-200−2i2i00000000000000000000000000000000
χ604-44-44-4-4400−4i4i0000000000-22-22-222-2002i−2i00000000000000000000000000000000
χ614-44-4-444-400000000004i−4i00-22-222-2-220000000000−2i2i000000000000000000000000
χ624-44-4-444-40000000000−4i4i00-22-222-2-2200000000002i−2i000000000000000000000000
χ634-4-4444-4-40000000000004i−4i-222-2-2-222000000000000−2i2i0000000000000000000000
χ644-4-4444-4-4000000000000−4i4i-222-2-2-2220000000000002i−2i0000000000000000000000
χ654-4-44-4-4440000004-4000000-222-222-2-2000000-220000000000000000000000000000
χ664-4-44-4-444000000-44000000-222-222-2-20000002-20000000000000000000000000000

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