Finite Group Databasebeta

← Group #70239

Character table — Group #70239

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444488881212121224242424242424244444441212121212121212444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ9111-1-1-11-111-1-1111-1-1-1-1111-1-1ii−i−i11-1-1iiii−i−i−i−iii−i−ii−iii−i−i11-1-1i−iii−i−i11-1-11-1
χ10111-1-1-11-111-1-1111-1-1-1-1111-1-1ii−i−i11-1-1iiii−i−i−i−i−i−iiii−iii−i−i11-1-1−ii−i−iii-1-111-11
χ11111-1-1-11-111-1-1111-1-1-1-1111-1-1−i−iii11-1-1−i−i−i−iiiiiii−i−i−ii−i−iii11-1-1i−iii−i−i-1-111-11
χ12111-1-1-11-111-1-1111-1-1-1-1111-1-1−i−iii11-1-1−i−i−i−iiiii−i−iii−ii−i−iii11-1-1−ii−i−iii11-1-11-1
χ13111-1-1-11-111-1-1111-1-1-1-11-1-111ii−i−i11-1-1iiii−i−i−i−iii−i−i−ii−i−iii-1-111i−i−i−iii11-1-1-11
χ14111-1-1-11-111-1-1111-1-1-1-11-1-111ii−i−i11-1-1iiii−i−i−i−i−i−iii−ii−i−iii-1-111−iiii−i−i-1-1111-1
χ15111-1-1-11-111-1-1111-1-1-1-11-1-111−i−iii11-1-1−i−i−i−iiiiiii−i−ii−iii−i−i-1-111i−i−i−iii-1-1111-1
χ16111-1-1-11-111-1-1111-1-1-1-11-1-111−i−iii11-1-1−i−i−i−iiiii−i−iiii−iii−i−i-1-111−iiii−i−i11-1-1-11
χ17222222222-2-2-2-2222222200000000-2-2-2-20000000022220000000000-2-20000000000
χ18222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-20000000000220000000000
χ1922222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ2022222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-21111-1-1-1-1000000000000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000022-1-1-1-11111000000000000
χ23222-2-2-22-22-222-222-2-2-2-2200000000-2-222000000002i2i−2i−2i0000000000−2i2i0000000000
χ24222-2-2-22-22-222-222-2-2-2-2200000000-2-22200000000−2i−2i2i2i00000000002i−2i0000000000
χ25222-2-2-22-2-12-2-22-1-11111-122-2-22i2i−2i−2i-1-111−i−i−i−iiiii00002i−2i−i−iii-1-111000000000000
χ26222-2-2-22-2-12-2-22-1-11111-122-2-2−2i−2i2i2i-1-111iiii−i−i−i−i0000−2i2iii−i−i-1-111000000000000
χ27222-2-2-22-2-12-2-22-1-11111-1-2-2222i2i−2i−2i-1-111−i−i−i−iiiii0000−2i2iii−i−i11-1-1000000000000
χ28222-2-2-22-2-12-2-22-1-11111-1-2-222−2i−2i2i2i-1-111iiii−i−i−i−i00002i−2i−i−iii11-1-1000000000000
χ2922-22-22-2-2200002-222-2-2-200002−22−2000022−2−222−2−22-22-200000000000000002−22−200
χ3022-22-22-2-2200002-222-2-2-200002−22−2000022−2−222−2−2-22-220000000000000000−22−2200
χ3122-22-22-2-2200002-222-2-2-20000−22−220000−2−222−2−2222-22-20000000000000000−22−2200
χ3222-22-22-2-2200002-222-2-2-20000−22−220000−2−222−2−222-22-2200000000000000002−22−200
χ3322-2-22-2-22200002-2-2-222-20000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000000000000000−222−200
χ3422-2-22-2-22200002-2-2-222-20000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i00000000000000002−2−2200
χ3522-2-22-2-22200002-2-2-222-20000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i22i−2i−2i2i00000000000000002−2−2200
χ3622-2-22-2-22200002-2-2-222-20000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i0000000000000000−222−200
χ372-2-222-22-2222-2-2-2-22-2-222000000002-22-20000000000000000000000002i−2i2i−2i000000
χ382-2-222-22-2222-2-2-2-22-2-222000000002-22-2000000000000000000000000−2i2i−2i2i000000
χ392-2-222-22-22-2-222-2-22-2-2222-22-20000-22-220000000000000000002-22-2000000000000
χ402-2-222-22-22-2-222-2-22-2-222-22-220000-22-22000000000000000000-22-22000000000000
χ412-2-222-22-2-1-2-22211-111-1-12-22-200001-11-1−i3i3−i3i3−i3i3−i3i3000000−i3i3−i3i3-11-11000000000000
χ422-2-222-22-2-1-2-22211-111-1-12-22-200001-11-1i3−i3i3−i3i3−i3i3−i3000000i3−i3i3−i3-11-11000000000000
χ432-2-222-22-2-1-2-22211-111-1-1-22-2200001-11-1−i3i3−i3i3−i3i3−i3i3000000i3−i3i3−i31-11-1000000000000
χ442-2-222-22-2-1-2-22211-111-1-1-22-2200001-11-1i3−i3i3−i3i3−i3i3−i3000000−i3i3−i3i31-11-1000000000000
χ452-2-2-2-222222-22-2-2-2-222-22000000002-2-220000000000000000000000002-2-22000000
χ462-2-2-2-222222-22-2-2-2-222-22000000002-2-22000000000000000000000000-222-2000000
χ472-2-2-2-22222-22-22-2-2-222-222-2-220000-222-20000000000000000002-2-22000000000000
χ482-2-2-2-22222-22-22-2-2-222-22-222-20000-222-2000000000000000000-222-2000000000000
χ492-2-2-2-2222-1-22-22111-1-11-12-2-2200001-1-113−33−3−33−330000003−3−33-111-1000000000000
χ502-2-2-2-2222-1-22-22111-1-11-12-2-2200001-1-11−33−333−33−3000000−333−3-111-1000000000000
χ512-2-2-2-2222-1-22-22111-1-11-1-222-200001-1-113−33−3−33−33000000−333−31-1-11000000000000
χ522-2-2-2-2222-1-22-22111-1-11-1-222-200001-1-11−33−333−33−30000003−3−331-1-11000000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-20000000022220000000000000000000000000000000000
χ54444-4-4-44-4-2-444-4-2-22222-20000000022-2-20000000000000000000000000000000000
χ5544-44-44-4-4-20000-22-2-2222000022−2222−220000−2−222−2−22200000000000000000000000000
χ5644-44-44-4-4-20000-22-2-22220000−2222−2222000022−2−222−2−200000000000000000000000000
χ5744-4-44-4-44-20000-2222-2-220000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i200000000000000000000000000
χ5844-4-44-4-44-20000-2222-2-2200002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i200000000000000000000000000
χ594-444-4-4-4440000-444-44-4-40000000000000000000000000000000000000000000000
χ604-444-4-4-44-200002-2-22-222000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ614-444-4-4-44-200002-2-22-222000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ624-44-444-4-440000-44-44-44-40000000000000000000000000000000000000000000000
χ634-44-444-4-4-200002-22-22-220000000000006−6−66−666−600000000000000000000000000
χ644-44-444-4-4-200002-22-22-22000000000000−666−66−6−6600000000000000000000000000
χ654-4-444-44-4-244-4-422-222-2-200000000-22-220000000000000000000000000000000000
χ664-4-4-4-4444-24-44-4222-2-22-200000000-222-20000000000000000000000000000000000

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