Finite Group Databasebeta

← Group #14303586

Character table — Group #14303586

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444445555888888881010101010101212161616161616161620202020202020202020202020202020242424242430303030404040404040404048486060606060606060120
order1222344666445101010121222221212152020303030446666882020606060606060448888121224242424242424244404040404444441212121212122020444444884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ3111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1ii−i−i-1-1iiii−i−i−i−i11111ii−i−ii−i-1-1ii−i−i11i−iii−i−i-1-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1−i−iii-1-1−i−i−i−iiiii11111−i−iii−ii-1-1−i−iii11−ii−i−iii-1-1-1
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1−i−iiii−i-1-1ii−i−i-1-1−ii−i−iii111
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1ii−i−i−ii-1-1−i−iii-1-1i−iii−i−i111
χ91111111111-1-11111111111-1-111111111111111-1-111-1-1-1-1-1-111111111111111-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1
χ101111111111-1-11111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1
χ111111111111-1-11111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ121111111111-1-11111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111111111-1-1-1-1-1-11
χ131111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-11111ii−i−i−ii11−i−iii-1-1i−i−i−iii-1-11
χ141111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111−i−iii-1-1−i−i−i−iiiii-11111−i−iiii−i11ii−i−i-1-1−iiii−i−i-1-11
χ151111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1-1-1-1-1−i−iii−ii11−i−iii11−iiii−i−i11-1
χ161111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111−i−iii-1-1−i−i−i−iiiii1-1-1-1-1ii−i−ii−i11ii−i−i11i−i−i−iii11-1
χ1722222-2-2222002222-2-22222002-2-2222-2-222220000-2-20000000000-2-2000000000000022220000000000-2-20000000
χ1822222-2-2222002222-2-22222002-2-2222-2-222220000-2-20000000000-2-20000000000000-2-2-2-20000000000220000000
χ1922222-2-2222002222-2-2-2-2-2-2002-2-222222-2-2-2-20000-2-200000000002200000000000002i2i−2i−2i0000000000−2i2i0000000
χ2022222-2-2222002222-2-2-2-2-2-2002-2-222222-2-2-2-20000-2-20000000000220000000000000−2i−2i2i2i00000000002i−2i0000000
χ212222-122-1-1-1222222-1-12222-1-1-122-1-1-122-1-1-1-10022-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-100000000022-1-1-1-1-1-100000000000
χ222222-122-1-1-1222222-1-12222-1-1-122-1-1-122-1-1-1-10022-1-1-1-1-1-122-2-2-2-2-1-111111111000000000-2-2-1-1111100000000000
χ232222-122-1-1-1222222-1-1-2-2-2-2-1-1-122-1-1-1-2-211110022-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii0000000002i−2i11−i−iii00000000000
χ242222-122-1-1-1222222-1-1-2-2-2-2-1-1-122-1-1-1-2-211110022-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i000000000−2i2i11ii−i−i00000000000
χ252222-122-1-1-1-2-22222-1-1222211-122-1-1-122-1-1-1-100-2-2-1-11111-2-22222-1-1-1-1-1-1-1-1-1-1000000000-2-211111100000000000
χ262222-122-1-1-1-2-22222-1-1222211-122-1-1-122-1-1-1-100-2-2-1-11111-2-2-2-2-2-2-1-1111111110000000002211-1-1-1-100000000000
χ272222-122-1-1-1-2-22222-1-1-2-2-2-211-122-1-1-1-2-2111100-2-2-1-11111222i2i−2i−2i11−i−i−i−iiiii000000000−2i2i-1-1ii−i−i00000000000
χ282222-122-1-1-1-2-22222-1-1-2-2-2-211-122-1-1-1-2-2111100-2-2-1-1111122−2i−2i2i2i11iiii−i−i−i−i0000000002i−2i-1-1−i−iii00000000000
χ2922-2-22002-2-20022-2-20022-2-2002002-2-20022-2-22−200000000002−22−20022−2−222−2−2022−2−22-22-200000000000000002−20
χ3022-2-22002-2-20022-2-20022-2-2002002-2-20022-2-22−20000000000−22−2200−2−222−2−222022−2−2-22-2200000000000000002−20
χ3122-2-22002-2-20022-2-20022-2-2002002-2-20022-2-2−2200000000002−22−20022−2−222−2−20−2−222-22-220000000000000000−220
χ3222-2-22002-2-20022-2-20022-2-2002002-2-20022-2-2−220000000000−22−2200−2−222−2−2220−2−2222-22-20000000000000000−220
χ3322-2-22002-2-20022-2-200-2-222002002-2-200-2-2222−20000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2022−2−2−2i2i2i−2i0000000000000000−220
χ3422-2-22002-2-20022-2-200-2-222002002-2-200-2-2222−20000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2022−2−22i−2i−2i2i0000000000000000−220
χ3522-2-22002-2-20022-2-200-2-222002002-2-200-2-222−220000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i20−2−2222i−2i−2i2i00000000000000002−20
χ3622-2-22002-2-20022-2-200-2-222002002-2-200-2-222−220000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i20−2−222−2i2i2i−2i00000000000000002−20
χ372-22-222-2-22-2002-22-22-22-2-220022-2-22-22-22-22-200002-200000000002-2000000000000000000000000000002-22-2000
χ382-22-222-2-22-2002-22-22-22-2-220022-2-22-22-22-22-200002-200000000002-200000000000000000000000000000-22-22000
χ392-22-222-2-22-2002-22-22-2-222-20022-2-22-2-22-22-2200002-20000000000-22000000000000000000000000000002i−2i−2i2i000
χ402-22-222-2-22-2002-22-22-2-222-20022-2-22-2-22-22-2200002-20000000000-2200000000000000000000000000000−2i2i2i−2i000
χ412-22-22-22-22-22i−2i2-22-2-222-2-222i−2i2-22-22-2-222-22-2002i−2i-222i2i−2i−2i2i−2i0000-2200000000000000000002i−2i000000000000000
χ422-22-22-22-22-22i−2i2-22-2-22-222-22i−2i2-22-22-22-2-22-22002i−2i-222i2i−2i−2i−2i2i00002-20000000000000000000−2i2i000000000000000
χ432-22-22-22-22-2−2i2i2-22-2-222-2-22−2i2i2-22-22-2-222-22-200−2i2i-22−2i−2i2i2i−2i2i0000-220000000000000000000−2i2i000000000000000
χ442-22-22-22-22-2−2i2i2-22-2-22-222-2−2i2i2-22-22-22-2-22-2200−2i2i-22−2i−2i2i2i2i−2i00002-200000000000000000002i−2i000000000000000
χ452-22-2-1-221-112i−2i2-22-21-12-2-22−ii-1-221-11-22-11-11002i−2i1-1−i−iii2i−2i00001-1−i3i3−i3i3−i3i3−i3i300000000000−ii3−33−300000000000
χ462-22-2-1-221-112i−2i2-22-21-12-2-22−ii-1-221-11-22-11-11002i−2i1-1−i−iii2i−2i00001-1i3−i3i3−i3i3−i3i3−i300000000000−ii−33−3300000000000
χ472-22-2-1-221-112i−2i2-22-21-1-222-2−ii-1-221-112-21-11-1002i−2i1-1−i−iii−2i2i0000-113−33−3−33−3300000000000i−ii3−i3−i3i300000000000
χ482-22-2-1-221-112i−2i2-22-21-1-222-2−ii-1-221-112-21-11-1002i−2i1-1−i−iii−2i2i0000-11−33−333−33−300000000000i−i−i3i3i3−i300000000000
χ492-22-2-1-221-11−2i2i2-22-21-12-2-22i−i-1-221-11-22-11-1100−2i2i1-1ii−i−i−2i2i00001-1−i3i3−i3i3−i3i3−i3i300000000000i−i−33−3300000000000
χ502-22-2-1-221-11−2i2i2-22-21-12-2-22i−i-1-221-11-22-11-1100−2i2i1-1ii−i−i−2i2i00001-1i3−i3i3−i3i3−i3i3−i300000000000i−i3−33−300000000000
χ512-22-2-1-221-11−2i2i2-22-21-1-222-2i−i-1-221-112-21-11-100−2i2i1-1ii−i−i2i−2i0000-113−33−3−33−3300000000000−ii−i3i3i3−i300000000000
χ522-22-2-1-221-11−2i2i2-22-21-1-222-2i−i-1-221-112-21-11-100−2i2i1-1ii−i−i2i−2i0000-11−33−333−33−300000000000−iii3−i3−i3i300000000000
χ53444444444444-1-1-1-144000044-1-1-1-1-1-100000044-1-1-1-1-1-1-1-100000000000000004-1-1-1-1000000000000-1-1000000000
χ54444444444444-1-1-1-144000044-1-1-1-1-1-1000000-4-4-1-1-1-1-1-1-1-10000000000000000-4111100000000000011000000000
χ554444444444-4-4-1-1-1-1440000-4-4-1-1-1-1-1-10000004411-1-111110000000000000000-4-1-1-1-100000000000011000000000
χ564444444444-4-4-1-1-1-1440000-4-4-1-1-1-1-1-1000000-4-411-1-11111000000000000000041111000000000000-1-1000000000
χ574444-2-4-4-2-2-200444422444400-2-4-4-2-2-2-4-4-2-2-2-2000022000000000022000000000000000000000000000000000000
χ584444-2-4-4-2-2-200444422-4-4-4-400-2-4-4-2-2-24422220000220000000000-2-2000000000000000000000000000000000000
χ5944-4-4-200-2220044-4-40044-4-400-200-22200-2-22200000000000022−2222−2200−2−222−2−2220000000000000000000000000000
χ6044-4-4-200-2220044-4-40044-4-400-200-22200-2-222000000000000−2222−22220022−2−222−2−20000000000000000000000000000
χ6144-4-4-200-2220044-4-400-4-44400-200-2220022-2-2000000000000−2i22i22i2−2i200i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ6244-4-4-200-2220044-4-400-4-44400-200-2220022-2-20000000000002i2−2i2−2i22i200−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ634-44-44-44-44-44i−4i-11-11-4400004i−4i-11-11-1100000000−ii1-1−i−iii00000000000000000−55−55000000000000−i5i5000000000
χ644-44-44-44-44-44i−4i-11-11-4400004i−4i-11-11-1100000000−ii1-1−i−iii000000000000000005−55−5000000000000i5−i5000000000
χ654-44-44-44-44-4−4i4i-11-11-440000−4i4i-11-11-1100000000i−i1-1ii−i−i00000000000000000−55−55000000000000i5−i5000000000
χ664-44-44-44-44-4−4i4i-11-11-440000−4i4i-11-11-1100000000i−i1-1ii−i−i000000000000000005−55−5000000000000−i5i5000000000
χ674-44-4-24-42-22004-44-4-224-4-4400-24-42-224-4-22-220000-220000000000-22000000000000000000000000000000000000
χ684-44-4-24-42-22004-44-4-22-444-400-24-42-22-442-22-20000-2200000000002-2000000000000000000000000000000000000
χ694-4-44400-4-44004-4-44004-44-400400-4-44004-4-44000000000000000000000000000000000000000000000000000000
χ704-4-44400-4-44004-4-4400-44-4400400-4-4400-444-4000000000000000000000000000000000000000000000000000000
χ714-4-44-20022-2004-4-44004-44-400-20022-200-222-2000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000000000
χ724-4-44-20022-2004-4-44004-44-400-20022-200-222-2000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000000000
χ734-4-44-20022-2004-4-4400-44-4400-20022-2002-2-220000000000000000006−6−66−666−60000000000000000000000000000
χ744-4-44-20022-2004-4-4400-44-4400-20022-2002-2-22000000000000000000−666−66−6−660000000000000000000000000000
χ7588888-8-888800-2-2-2-2-8-8000000-222-2-2-2000000000022000000000000000000000000000000000000000000000000
χ768888-488-4-4-488-2-2-2-2-4-40000-4-41-2-211100000000-2-211111100000000000000000000000000000000000000000000
χ778888-488-4-4-4-8-8-2-2-2-2-4-40000441-2-2111000000002211-1-1-1-100000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-400-2-2-2-2440000001221110000000000-1-1−i15i15−i15i1500000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-400-2-2-2-2440000001221110000000000-1-1i15−i15i15−i1500000000000000000000000000000000000000000000
χ8088-8-88008-8-800-2-22200000000-200-22200000042−420000000000000000000000000−2−22200000000000000000000000
χ8188-8-88008-8-800-2-22200000000-200-222000000−4242000000000000000000000000022−2−200000000000000000000000
χ828-88-888-8-88-800-22-228-8000000-2-222-220000000000-22000000000000000000000000000000000000000000000000
χ838-88-8-48-84-4400-22-22-440000001-22-11-100000000001-1−151515−1500000000000000000000000000000000000000000000
χ848-88-8-48-84-4400-22-22-440000001-22-11-100000000001-115−15−151500000000000000000000000000000000000000000000
χ858-88-8-4-884-448i−8i-22-224-40000−4i4i12-2-11-100000000−2i2i-11ii−i−i00000000000000000000000000000000000000000000
χ868-88-8-4-884-44−8i8i-22-224-400004i−4i12-2-11-1000000002i−2i-11−i−iii00000000000000000000000000000000000000000000
χ878-8-88800-8-8800-222-200000000-20022-200000000000000000000000000000000010−10−101000000000000000000000000
χ888-8-88800-8-8800-222-200000000-20022-2000000000000000000000000000000000−101010−1000000000000000000000000
χ891616-16-16-800-88800-4-444000000002002-2-2000000000000000000000000000000000000000000000000000000000000
χ9016-16-1616-80088-800-444-400000000200-2-22000000000000000000000000000000000000000000000000000000000000

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