Finite Group Databasebeta

← Group #76893

Character table — Group #76893

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11111111222222223333333344444444444444888888888888881212121212121212121212121212
order1222222236666666444444442222444444444466661212121212121212121244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111
χ311111111111111111111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ5111111111111111111111111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ6111111111111111111111111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1
χ111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111
χ1722222222-1-1-1-1-1-1-1-10000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222222-1-1-1-1-1-1-1-1000000002222-2-2-2-222-2-2-2-2-1-1-1-1111111-1-11100000000000000
χ1922222222-1-1-1-1-1-1-1-10000000022-2-222-2-2-2-222-2-2-1-111-1-1111111-1-100000000000000
χ2022222222-1-1-1-1-1-1-1-10000000022-2-2-2-222-2-2-2-222-1-11111-1-1-1-1111100000000000000
χ2122222222-1-1-1-1-1-1-1-100000000-2-22222-2-2-2-2-2-22211-1-1-1-1-1-111111100000000000000
χ2222222222-1-1-1-1-1-1-1-100000000-2-222-2-222-2-222-2-211-1-11111-1-111-1-100000000000000
χ2322222222-1-1-1-1-1-1-1-100000000-2-2-2-2222222-2-2-2-21111-1-111-1-1-1-11100000000000000
χ2422222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2222222111111-1-111-1-1-1-100000000000000
χ25222-2-2-22-22-2-2-2222-22i2i2i2i−2i−2i−2i−2i0000000000002-20000002-200000000002i−2i00000000
χ26222-2-2-22-22-2-2-2222-22i2i2i2i−2i−2i−2i−2i000000000000-22000000-220000000000−2i2i00000000
χ27222-2-2-22-22-2-2-2222-2−2i−2i−2i−2i2i2i2i2i0000000000002-20000002-20000000000−2i2i00000000
χ28222-2-2-22-22-2-2-2222-2−2i−2i−2i−2i2i2i2i2i000000000000-22000000-2200000000002i−2i00000000
χ2922-22-22-2-222-2-22-2-222i2i−2i−2i2i2i−2i−2i002-20000000000002-200000000000000000000002i−2i
χ3022-22-22-2-222-2-22-2-222i2i−2i−2i2i2i−2i−2i00-22000000000000-220000000000000000000000−2i2i
χ3122-22-22-2-222-2-22-2-22−2i−2i2i2i−2i−2i2i2i002-20000000000002-20000000000000000000000−2i2i
χ3222-22-22-2-222-2-22-2-22−2i−2i2i2i−2i−2i2i2i00-22000000000000-2200000000000000000000002i−2i
χ3322-2-22-2-222-2222-2-2-222-2-2-2-22200002i−2i0000000000002i−2i000000002i−2i000000000000
χ3422-2-22-2-222-2222-2-2-222-2-2-2-2220000−2i2i000000000000−2i2i00000000−2i2i000000000000
χ3522-2-22-2-222-2222-2-2-2-2-22222-2-200002i−2i0000000000002i−2i00000000−2i2i000000000000
χ3622-2-22-2-222-2222-2-2-2-2-22222-2-20000−2i2i000000000000−2i2i000000002i−2i000000000000
χ372-222-2-2-22222-2-22-2-22-22-22-22-20000002i−2i000000000000002i−2i0000002i−2i0000000000
χ382-222-2-2-22222-2-22-2-22-22-22-22-2000000−2i2i00000000000000−2i2i000000−2i2i0000000000
χ392-222-2-2-22222-2-22-2-2-22-22-22-220000002i−2i000000000000002i−2i000000−2i2i0000000000
χ402-222-2-2-22222-2-22-2-2-22-22-22-22000000−2i2i00000000000000−2i2i0000002i−2i0000000000
χ412-22-222-2-22-2-22-22-222i−2i2i−2i−2i2i−2i2i2-20000000000002-200000000000000000000002i−2i00
χ422-22-222-2-22-2-22-22-222i−2i2i−2i−2i2i−2i2i-22000000000000-220000000000000000000000−2i2i00
χ432-22-222-2-22-2-22-22-22−2i2i−2i2i2i−2i2i−2i2-20000000000002-20000000000000000000000−2i2i00
χ442-22-222-2-22-2-22-22-22−2i2i−2i2i2i−2i2i−2i-22000000000000-2200000000000000000000002i−2i00
χ452-2-222-22-222-22-2-22-22i−2i−2i2i2i−2i−2i2i00000000002i−2i000000000000002i−2i000000002-20000
χ462-2-222-22-222-22-2-22-22i−2i−2i2i2i−2i−2i2i0000000000−2i2i00000000000000−2i2i00000000-220000
χ472-2-222-22-222-22-2-22-2−2i2i2i−2i−2i2i2i−2i00000000002i−2i000000000000002i−2i00000000-220000
χ482-2-222-22-222-22-2-22-2−2i2i2i−2i−2i2i2i−2i0000000000−2i2i00000000000000−2i2i000000002-20000
χ492-2-2-2-22222-22-2-2-2222-2-22-222-2000000002-2000000000000002-2000000002-2000000
χ502-2-2-2-22222-22-2-2-2222-2-22-222-200000000-2200000000000000-2200000000-22000000
χ512-2-2-2-22222-22-2-2-222-222-22-2-22000000002-2000000000000002-200000000-22000000
χ522-2-2-2-22222-22-2-2-222-222-22-2-2200000000-2200000000000000-22000000002-2000000
χ53444-4-4-44-4-2222-2-2-22000000000000000000004-4000000-2200000000000000000000
χ54444-4-4-44-4-2222-2-2-2200000000000000000000-440000002-200000000000000000000
χ5544-44-44-4-4-2-222-222-200000000004-4000000000000-22000000000000000000000000
χ5644-44-44-4-4-2-222-222-20000000000-440000000000002-2000000000000000000000000
χ5744-4-44-4-44-22-2-2-22220000000000004i−4i000000000000−2i2i0000000000000000000000
χ5844-4-44-4-44-22-2-2-2222000000000000−4i4i0000000000002i−2i0000000000000000000000
χ594-444-4-4-44-2-2-222-222000000000000004i−4i00000000000000−2i2i000000000000000000
χ604-444-4-4-44-2-2-222-22200000000000000−4i4i000000000000002i−2i000000000000000000
χ614-44-444-4-4-222-22-22-2000000004-4000000000000-2200000000000000000000000000
χ624-44-444-4-4-222-22-22-200000000-440000000000002-200000000000000000000000000
χ634-4-444-44-4-2-22-222-220000000000000000004i−4i00000000000000−2i2i00000000000000
χ644-4-444-44-4-2-22-222-22000000000000000000−4i4i000000000000002i−2i00000000000000
χ654-4-4-4-4444-22-2222-2-200000000000000004-400000000000000-220000000000000000
χ664-4-4-4-4444-22-2222-2-20000000000000000-44000000000000002-20000000000000000

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