Finite Group Databasebeta

← Group #14304759

Character table — Group #14304759

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222444444555588888888810101010101012121616161616161616202020202020202020202020202024242424244040404040404040404848606060606060120120120
order1222344666510101012122222412121520203030304466668820206060606060608888121224242424242424242404040404441212121212121010444488244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111-1-1
χ311111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-111
χ511111111111111111111-1-1-111111111111111-1-111-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ611111111111111111111-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-111
χ711111111111111111111-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ811111111111111111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111111111-1-11-1-1
χ91111111111111111-1-1-1-1111111111-1-1-1-1-1-11111111111ii−i−i-1-1iiii−i−i−i−i11111-1i−i-1-1ii−i−i11i−ii−i-1-1-1i−i
χ101111111111111111-1-1-1-1111111111-1-1-1-1-1-11111111111−i−iii-1-1−i−i−i−iiiii11111-1−ii-1-1−i−iii11−ii−ii-1-1-1−ii
χ111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1-1i−i-1-1ii−i−i-1-1−ii−ii111−ii
χ121111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1-1−ii-1-1−i−iii-1-1i−ii−i111i−i
χ131111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-111111−ii11−i−iii-1-1i−ii−i-1-11−ii
χ141111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1−i−iii-1-1−i−i−i−iiiii-111111i−i11ii−i−i-1-1−ii−ii-1-11i−i
χ151111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1-1-1-1-11−ii11−i−iii11−ii−ii11-1i−i
χ161111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii-1-1−i−i−i−iiiii1-1-1-1-11i−i11ii−i−i11i−ii−i11-1−ii
χ1722222-2-22222222-2-222220002-2-2222-2-222220000-2-200000000-2-200000000000000000000000022-2-200000
χ1822222-2-22222222-2-222220002-2-2222-2-222220000-2-200000000-2-2000000000000000000000000-2-22200000
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-20000-2-200000000220000000000000000000000002i−2i−2i2i00000
χ2022222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-20000-2-20000000022000000000000000000000000−2i2i2i−2i00000
χ212222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-10022-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000222-1-1-1-1-1-100000000000
χ222222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-10022-1-1-1-1-1-1-2-2-2-2-1-111111111000002-2-2-1-1111100000000000
χ232222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-100-2-2-1-111112222-1-1-1-1-1-1-1-1-1-100000-2-2-211111100000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-100-2-2-1-11111-2-2-2-2-1-11111111100000-22211-1-1-1-100000000000
χ252222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-211110022-1-1-1-1-1-12i2i−2i−2i11−i−i−i−iiiii00000-22i−2i11−i−iii00000000000
χ262222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-211110022-1-1-1-1-1-1−2i−2i2i2i11iiii−i−i−i−i00000-2−2i2i11ii−i−i00000000000
χ272222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-2111100-2-2-1-111112i2i−2i−2i11−i−i−i−iiiii000002−2i2i-1-1ii−i−i00000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-2111100-2-2-1-11111−2i−2i2i2i11iiii−i−i−i−i0000022i−2i-1-1−i−iii00000000000
χ292-22-222-2-22-22-22-22-222-2-200022-2-22-2-222-2-222i−2i002-200000000-220000000002i2i−2i−2i0000000000000002i−2i000
χ302-22-222-2-22-22-22-22-222-2-200022-2-22-2-222-2-22−2i2i002-200000000-22000000000−2i−2i2i2i000000000000000−2i2i000
χ312-22-222-2-22-22-22-22-2-2-22200022-2-22-22-2-222-22i−2i002-2000000002-20000000002i2i−2i−2i000000000000000−2i2i000
χ322-22-222-2-22-22-22-22-2-2-22200022-2-22-22-2-222-2−2i2i002-2000000002-2000000000−2i−2i2i2i0000000000000002i−2i000
χ332-22-22-22-22-22-22-2-2222-2-20002-22-22-22-22-2-220000-2200002i−2i2i−2i2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000
χ342-22-22-22-22-22-22-2-2222-2-20002-22-22-22-22-2-220000-220000−2i2i−2i2i2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000
χ352-22-22-22-22-22-22-2-22-2-2220002-22-22-2-22-222-20000-2200002-2-22-2222-2-2-2-2220000000000000000000000000
χ362-22-22-22-22-22-22-2-22-2-2220002-22-22-2-22-222-20000-220000-222-2-22-2-22222-2-20000000000000000000000000
χ372-22-2-1-221-112-22-21-122-2-203−3-1-221-112-2-111-100001-133−3−32i−2i2i−2i-11−i−iii−i−iii000000003−3−i3i3−i3i300000000000
χ382-22-2-1-221-112-22-21-122-2-203−3-1-221-112-2-111-100001-133−3−3−2i2i−2i2i-11ii−i−iii−i−i000000003−3i3−i3i3−i300000000000
χ392-22-2-1-221-112-22-21-122-2-20−33-1-221-112-2-111-100001-1−3−3332i−2i2i−2i-11−i−iii−i−iii00000000−33i3−i3i3−i300000000000
χ402-22-2-1-221-112-22-21-122-2-20−33-1-221-112-2-111-100001-1−3−333−2i2i−2i2i-11ii−i−iii−i−i00000000−33−i3i3−i3i300000000000
χ412-22-2-1-221-112-22-21-1-2-22203−3-1-221-11-221-1-1100001-133−3−32-2-221-1-1-11111-1-100000000−33−333−300000000000
χ422-22-2-1-221-112-22-21-1-2-22203−3-1-221-11-221-1-1100001-133−3−3-222-21-111-1-1-1-11100000000−333−3−3300000000000
χ432-22-2-1-221-112-22-21-1-2-2220−33-1-221-11-221-1-1100001-1−3−3332-2-221-1-1-11111-1-1000000003−33−3−3300000000000
χ442-22-2-1-221-112-22-21-1-2-2220−33-1-221-11-221-1-1100001-1−3−333-222-21-111-1-1-1-111000000003−3−333−300000000000
χ454444444444-1-1-1-1440000444-1-1-1-1-1-100000044-1-1-1-1-1-1-1-1000000000000004-1-1-1-1000000000-1-1000000000
χ464444444444-1-1-1-1440000444-1-1-1-1-1-1000000-4-4-1-1-1-1-1-1-1-100000000000000-4111100000000011000000000
χ474444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-10000004411-1-1111100000000000000-4-1-1-1-100000000011000000000
χ484444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000-4-411-1-111110000000000000041111000000000-1-1000000000
χ494444-2-4-4-2-2-24444224444000-2-4-4-2-2-2-4-4-2-2-2-20000220000000022000000000000000000000000000000000
χ504444-2-4-4-2-2-2444422-4-4-4-4000-2-4-4-2-2-244222200002200000000-2-2000000000000000000000000000000000
χ5144-4-44004-4-444-4-4004-44-40004004-4-40044-4-40000000000000000000000000000000000000000000000000
χ5244-4-44004-4-444-4-400-44-440004004-4-400-4-4440000000000000000000000000000000000000000000000000
χ5344-4-4-200-22244-4-4004-44-4000-200-22200-2-2220000000000000000−i6i6−i6i6−i6i6−i6i60000000000000000000000000
χ5444-4-4-200-22244-4-4004-44-4000-200-22200-2-2220000000000000000i6−i6i6−i6i6−i6i6−i60000000000000000000000000
χ5544-4-4-200-22244-4-400-44-44000-200-2220022-2-200000000000000006−66−6−66−660000000000000000000000000
χ5644-4-4-200-22244-4-400-44-44000-200-2220022-2-20000000000000000−66−666−66−60000000000000000000000000
χ574-44-444-4-44-4-11-114-40000000-1-111-110000004i−4i−i5i5-11−i5i5−i5i5000000000000000−i−iii000000000−55000000000
χ584-44-444-4-44-4-11-114-40000000-1-111-110000004i−4ii5−i5-11i5−i5i5−i5000000000000000−i−iii0000000005−5000000000
χ594-44-444-4-44-4-11-114-40000000-1-111-11000000−4i4i−i5i5-11−i5i5−i5i5000000000000000ii−i−i0000000005−5000000000
χ604-44-444-4-44-4-11-114-40000000-1-111-11000000−4i4ii5−i5-11i5−i5i5−i5000000000000000ii−i−i000000000−55000000000
χ614-44-4-24-42-224-44-4-2244-4-4000-24-42-22-44-222-20000-22000000002-2000000000000000000000000000000000
χ624-44-4-24-42-224-44-4-22-4-444000-24-42-224-42-2-220000-2200000000-22000000000000000000000000000000000
χ634-4-44400-4-444-4-44004-4-44000400-4-44004-44-40000000000000000000000000000000000000000000000000
χ644-4-44400-4-444-4-4400-444-4000400-4-4400-44-440000000000000000000000000000000000000000000000000
χ654-4-44-20022-24-4-44004-4-44000-20022-200-22-2200000000000000006−6−666−6−660000000000000000000000000
χ664-4-44-20022-24-4-44004-4-44000-20022-200-22-220000000000000000−666−6−666−60000000000000000000000000
χ674-4-44-20022-24-4-4400-444-4000-20022-2002-22-20000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000
χ684-4-44-20022-24-4-4400-444-4000-20022-2002-22-20000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000
χ6988888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000220000000000000000000000000000000000000000000
χ708888-488-4-4-4-2-2-2-2-4-400008-4-41-2-211100000000-2-2111111000000000000000000000000000000000000000
χ718888-488-4-4-4-2-2-2-2-4-40000-8441-2-2111000000002211-1-1-1-1000000000000000000000000000000000000000
χ728888-4-8-8-4-4-4-2-2-2-24400000001221110000000000-1-1−i15i15i15−i15000000000000000000000000000000000000000
χ738888-4-8-8-4-4-4-2-2-2-24400000001221110000000000-1-1i15−i15−i15i15000000000000000000000000000000000000000
χ7488-8-88008-8-8-2-222000000000-200-2220000000000000000000000000000000i10−i10i10−i1000000000000000000000
χ7588-8-88008-8-8-2-222000000000-200-2220000000000000000000000000000000−i10i10−i10i1000000000000000000000
χ768-88-88-88-88-8-22-22-880000000-22-22-2200000000002-20000000000000000000000000000000000000000000
χ778-88-8-48-84-44-22-22-4400000001-22-11-100000000−2i52i51-1i5−i5i5−i5000000000000000000000000000000000000000
χ788-88-8-48-84-44-22-22-4400000001-22-11-1000000002i5−2i51-1−i5i5−i5i5000000000000000000000000000000000000000
χ798-88-8-4-884-44-22-224-40000043−4312-2-11-10000000000-11−3−333000000000000000000000000000000000000000
χ808-88-8-4-884-44-22-224-400000−434312-2-11-10000000000-1133−3−3000000000000000000000000000000000000000
χ818-8-88800-8-88-222-2000000000-20022-2000000000000000000000000000000010−10−101000000000000000000000
χ828-8-88800-8-88-222-2000000000-20022-20000000000000000000000000000000−101010−1000000000000000000000
χ831616-16-16-800-888-4-4440000000002002-2-20000000000000000000000000000000000000000000000000000000
χ8416-16-1616-80088-8-444-4000000000200-2-220000000000000000000000000000000000000000000000000000000

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