Finite Group Databasebeta

← Group #70713

Character table — Group #70713

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order1222444422344666121212126688888888121224242424242424242244882424242424242424248888888888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ91111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11-1-1111111-1-1-1-111-1-1i−iii−i−iii−i−i-11ii−i−i11-1-1i−i
χ101111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11-1-1111111-1-1-1-1-1-111i−iii−i−iii−i−i1-1−i−iii-1-111−ii
χ111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i-1-11111-1-1-1-1111111-1-1−iiii−i−i−i−iii-11ii−i−i-1-111−ii
χ121111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i-1-11111-1-1-1-11111-1-111−iiii−i−i−i−iii1-1−i−iii11-1-1i−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11-1-1111111-1-1-1-111-1-1−ii−i−iii−i−iii-11−i−iii11-1-1−ii
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11-1-1111111-1-1-1-1-1-111−ii−i−iii−i−iii1-1ii−i−i-1-111i−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii-1-11111-1-1-1-1111111-1-1i−i−i−iiiii−i−i-11−i−iii-1-111i−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii-1-11111-1-1-1-11111-1-111i−i−i−iiiii−i−i1-1ii−i−i11-1-1−ii
χ172222222222-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-2-2-1-1-1-11111000000000000
χ192222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ202222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000221111-1-1-1-1000000000000
χ2122222222-2-22-2-22222222-2-200000000-2-20000000022220000000000-2-20000000000
χ2222222222-2-22-2-22222222-2-200000000-2-200000000-2-2-2-20000000000220000000000
χ232222-2-2-2-2222-2-2222-2-2-2-22200000000-2-20000000022-2-200000000002-20000000000
χ242222-2-2-2-2222-2-2222-2-2-2-22200000000-2-200000000-2-2220000000000-220000000000
χ252222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i22-2-2-1-1-1-1-1-1111100002i−2i−i−iii−i−iii000000000000
χ262222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-2-222-1-11111-1-1-1-10000−2i2i−i−iiiii−i−i000000000000
χ272222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i22-2-2-1-1-1-1-1-111110000−2i2iii−i−iii−i−i000000000000
χ282222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-2-222-1-11111-1-1-1-100002i−2iii−i−i−i−iii000000000000
χ2922-2-22i−2i2i−2i002002-2-22i−2i2i−2i0000002−2−i2i20022−2−2−i2−i2i2i22-22i−2i00000000000000002−2−i2i200
χ3022-2-22i−2i2i−2i002002-2-22i−2i2i−2i0000002−2−i2i20022−2−2−i2−i2i2i2-22−2i2i0000000000000000−22i2−i200
χ3122-2-22i−2i2i−2i002002-2-22i−2i2i−2i000000−22i2−i200−2−222i2i2−i2−i22-22i−2i0000000000000000−22i2−i200
χ3222-2-22i−2i2i−2i002002-2-22i−2i2i−2i000000−22i2−i200−2−222i2i2−i2−i2-22−2i2i00000000000000002−2−i2i200
χ3322-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000002−2i2−i20022−2−2i2i2−i2−i22-2−2i2i00000000000000002−2i2−i200
χ3422-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000002−2i2−i20022−2−2i2i2−i2−i2-222i−2i0000000000000000−22−i2i200
χ3522-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i000000−22−i2i200−2−222−i2−i2i2i22-2−2i2i0000000000000000−22−i2i200
χ3622-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i000000−22−i2i200−2−222−i2−i2i2i2-222i−2i00000000000000002−2i2−i200
χ372-2-2222-2-22-222-2-2-2222-2-22-22i−2i2i−2i0000-22000000000000002i−2i2i−2i0000000000000000
χ382-2-2222-2-22-222-2-2-2222-2-22-2−2i2i−2i2i0000-2200000000000000−2i2i−2i2i0000000000000000
χ392-2-2222-2-22-2-12-211-1-1-111-112i−2i2i−2i00001-1−i3i3−i3i3−i3i3−i3i3000000−ii−ii3−33−3000000000000
χ402-2-2222-2-22-2-12-211-1-1-111-112i−2i2i−2i00001-1i3−i3i3−i3i3−i3i3−i3000000−ii−ii−33−33000000000000
χ412-2-2222-2-22-2-12-211-1-1-111-11−2i2i−2i2i00001-1−i3i3−i3i3−i3i3−i3i3000000i−ii−i−33−33000000000000
χ422-2-2222-2-22-2-12-211-1-1-111-11−2i2i−2i2i00001-1i3−i3i3−i3i3−i3i3−i3000000i−ii−i3−33−3000000000000
χ432-2-2222-2-2-222-22-2-2222-2-2-22000000002-20000000000000000000000002i−2i2i−2i000000
χ442-2-2222-2-2-222-22-2-2222-2-2-22000000002-2000000000000000000000000−2i2i−2i2i000000
χ452-2-22-2-2222-22-22-2-22-2-2222-2000000002-20000000000000000000000002-2-22000000
χ462-2-22-2-2222-22-22-2-22-2-2222-2000000002-2000000000000000000000000-222-2000000
χ472-2-22-2-222-2222-2-2-22-2-222-222-2-220000-22000000000000002-2-220000000000000000
χ482-2-22-2-222-2222-2-2-22-2-222-22-222-20000-2200000000000000-222-20000000000000000
χ492-2-22-2-222-22-12-211-111-1-11-12-2-2200001-1−i3i3−i3i3i3−i3i3−i3000000-111-1−i3i3i3−i3000000000000
χ502-2-22-2-222-22-12-211-111-1-11-12-2-2200001-1i3−i3i3−i3−i3i3−i3i3000000-111-1i3−i3−i3i3000000000000
χ512-2-22-2-222-22-12-211-111-1-11-1-222-200001-1−i3i3−i3i3i3−i3i3−i30000001-1-11i3−i3−i3i3000000000000
χ522-2-22-2-222-22-12-211-111-1-11-1-222-200001-1i3−i3i3−i3−i3i3−i3i30000001-1-11−i3i3i3−i3000000000000
χ5344444444-4-4-2-4-4-2-2-2-2-2-2-22200000000220000000000000000000000000000000000
χ544444-4-4-4-444-2-4-4-2-2-22222-2-200000000220000000000000000000000000000000000
χ5544-4-44i−4i4i−4i00-200-222−2i2i−2i2i00000022−22−2i22i200−2−222i2i2−i2−i200000000000000000000000000
χ5644-4-44i−4i4i−4i00-200-222−2i2i−2i2i000000−22222i2−2i20022−2−2−i2−i2i2i200000000000000000000000000
χ5744-4-4−4i4i−4i4i00-200-2222i−2i2i−2i00000022−222i2−2i200−2−222−i2−i2i2i200000000000000000000000000
χ5844-4-4−4i4i−4i4i00-200-2222i−2i2i−2i000000−2222−2i22i20022−2−2i2i2−i2−i200000000000000000000000000
χ594-44-44i−4i−4i4i00400-44-44i−4i−4i4i0000000000000000000000000000000000000000000000
χ604-44-44i−4i−4i4i00-2002-22−2i2i2i−2i000000000000i6−i6−i6i66−6−6600000000000000000000000000
χ614-44-44i−4i−4i4i00-2002-22−2i2i2i−2i000000000000−i6i6i6−i6−666−600000000000000000000000000
χ624-44-4−4i4i4i−4i00400-44-4−4i4i4i−4i0000000000000000000000000000000000000000000000
χ634-44-4−4i4i4i−4i00-2002-222i−2i−2i2i000000000000i6−i6−i6i6−666−600000000000000000000000000
χ644-44-4−4i4i4i−4i00-2002-222i−2i−2i2i000000000000−i6i6i6−i66−6−6600000000000000000000000000
χ654-4-4444-4-4-44-2-4422-2-2-2222-200000000-220000000000000000000000000000000000
χ664-4-44-4-4444-4-2-4422-222-2-2-2200000000-220000000000000000000000000000000000

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