Finite Group Databasebeta

← Group #14303444

Character table — Group #14303444

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
χ2922-2-222-2-22-20022-2-22-22-2-220022-2-22-22-222-2-200002-200000000002-2000000000000000000000000000002-22-2000
χ3022-2-222-2-22-20022-2-22-22-2-220022-2-22-22-222-2-200002-200000000002-200000000000000000000000000000-22-22000
χ3122-2-222-2-22-20022-2-22-2-222-20022-2-22-2-22-2-22200002-20000000000-22000000000000000000000000000002i−2i−2i2i000
χ3222-2-222-2-22-20022-2-22-2-222-20022-2-22-2-22-2-22200002-20000000000-2200000000000000000000000000000−2i2i2i−2i000
χ3322-2-22-22-22-22i−2i22-2-2-222-2-222i−2i2-22-22-2-2222-2-2002i−2i-222i2i−2i−2i2i−2i0000-2200000000000000000002i−2i000000000000000
χ3422-2-22-22-22-22i−2i22-2-2-22-222-22i−2i2-22-22-22-2-2-222002i−2i-222i2i−2i−2i−2i2i00002-20000000000000000000−2i2i000000000000000
χ3522-2-22-22-22-2−2i2i22-2-2-222-2-22−2i2i2-22-22-2-2222-2-200−2i2i-22−2i−2i2i2i−2i2i0000-220000000000000000000−2i2i000000000000000
χ3622-2-22-22-22-2−2i2i22-2-2-22-222-2−2i2i2-22-22-22-2-2-22200−2i2i-22−2i−2i2i2i2i−2i00002-200000000000000000002i−2i000000000000000
χ3722-2-2-1-221-112i−2i22-2-21-12-2-22−ii-1-221-11-22-1-111002i−2i1-1−i−iii2i−2i00001-1−i3−i3i3i3−i3−i3i3i300000000000−ii3−33−300000000000
χ3822-2-2-1-221-112i−2i22-2-21-12-2-22−ii-1-221-11-22-1-111002i−2i1-1−i−iii2i−2i00001-1i3i3−i3−i3i3i3−i3−i300000000000−ii−33−3300000000000
χ3922-2-2-1-221-112i−2i22-2-21-1-222-2−ii-1-221-112-211-1-1002i−2i1-1−i−iii−2i2i0000-1133−3−3−3−33300000000000i−ii3−i3−i3i300000000000
χ4022-2-2-1-221-112i−2i22-2-21-1-222-2−ii-1-221-112-211-1-1002i−2i1-1−i−iii−2i2i0000-11−3−33333−3−300000000000i−i−i3i3i3−i300000000000
χ4122-2-2-1-221-11−2i2i22-2-21-12-2-22i−i-1-221-11-22-1-11100−2i2i1-1ii−i−i−2i2i00001-1−i3−i3i3i3−i3−i3i3i300000000000i−i−33−3300000000000
χ4222-2-2-1-221-11−2i2i22-2-21-12-2-22i−i-1-221-11-22-1-11100−2i2i1-1ii−i−i−2i2i00001-1i3i3−i3−i3i3i3−i3−i300000000000i−i3−33−300000000000
χ4322-2-2-1-221-11−2i2i22-2-21-1-222-2i−i-1-221-112-211-1-100−2i2i1-1ii−i−i2i−2i0000-1133−3−3−3−33300000000000−ii−i3i3i3−i300000000000
χ4422-2-2-1-221-11−2i2i22-2-21-1-222-2i−i-1-221-112-211-1-100−2i2i1-1ii−i−i2i−2i0000-11−3−33333−3−300000000000−iii3−i3−i3i300000000000
χ452-2-222002-2-2002-2-22002-22-2002002-2-2002-2-22−i2i20000000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20−i2−i2i2i22-22-20000000000000000−i2i20
χ462-2-222002-2-2002-2-22002-22-2002002-2-2002-2-22−i2i20000000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20−i2−i2i2i2-22-220000000000000000−i2i20
χ472-2-222002-2-2002-2-22002-22-2002002-2-2002-2-22i2−i20000000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20i2i2−i2−i2-22-220000000000000000i2−i20
χ482-2-222002-2-2002-2-22002-22-2002002-2-2002-2-22i2−i20000000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20i2i2−i2−i22-22-20000000000000000i2−i20
χ492-2-222002-2-2002-2-2200-22-22002002-2-200-222-2−i2i200000000002−2−22002−22−2−22−220−i2−i2i2i22i−2i−2i2i0000000000000000i2−i20
χ502-2-222002-2-2002-2-2200-22-22002002-2-200-222-2−i2i20000000000−222−200−22−222−22−20−i2−i2i2i2−2i2i2i−2i0000000000000000i2−i20
χ512-2-222002-2-2002-2-2200-22-22002002-2-200-222-2i2−i200000000002−2−22002−22−2−22−220i2i2−i2−i2−2i2i2i−2i0000000000000000−i2i20
χ522-2-222002-2-2002-2-2200-22-22002002-2-200-222-2i2−i20000000000−222−200−22−222−22−20i2i2−i2−i22i−2i−2i2i0000000000000000−i2i20
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
χ5944-4-44-44-44-44i−4i-1-111-4400004i−4i-11-11-1100000000−ii1-1−i−iii00000000000000000−55−55000000000000−i5i5000000000
χ6044-4-44-44-44-44i−4i-1-111-4400004i−4i-11-11-1100000000−ii1-1−i−iii000000000000000005−55−5000000000000i5−i5000000000
χ6144-4-44-44-44-4−4i4i-1-111-440000−4i4i-11-11-1100000000i−i1-1ii−i−i00000000000000000−55−55000000000000i5−i5000000000
χ6244-4-44-44-44-4−4i4i-1-111-440000−4i4i-11-11-1100000000i−i1-1ii−i−i000000000000000005−55−5000000000000−i5i5000000000
χ6344-4-4-24-42-220044-4-4-224-4-4400-24-42-224-4-2-2220000-220000000000-22000000000000000000000000000000000000
χ6444-4-4-24-42-220044-4-4-22-444-400-24-42-22-4422-2-20000-2200000000002-2000000000000000000000000000000000000
χ654-44-4400-4-44004-44-40044-4-400400-4-44004-44-4000000000000000000000000000000000000000000000000000000
χ664-44-4400-4-44004-44-400-4-44400400-4-4400-44-44000000000000000000000000000000000000000000000000000000
χ674-44-4-20022-2004-44-40044-4-400-20022-200-22-220000000000000000006−6−666−6−660000000000000000000000000000
χ684-44-4-20022-2004-44-40044-4-400-20022-200-22-22000000000000000000−666−6−666−60000000000000000000000000000
χ694-44-4-20022-2004-44-400-4-44400-20022-2002-22-2000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ704-44-4-20022-2004-44-400-4-44400-20022-2002-22-2000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ714-4-44-200-222004-4-44004-44-400-200-22200-222-2000000000000−2i22i2−2i22i200i2−i2i2−i2i2−i2i2−i20000000000000000000000000000
χ724-4-44-200-222004-4-44004-44-400-200-22200-222-20000000000002i2−2i22i2−2i200−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
χ734-4-44-200-222004-4-4400-44-4400-200-222002-2-2200000000000022−22−222200−22−222−22−20000000000000000000000000000
χ744-4-44-200-222004-4-4400-44-4400-200-222002-2-22000000000000−222222−22002−22−2−22−220000000000000000000000000000
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
χ8088-8-888-8-88-800-2-2228-8000000-2-222-220000000000-22000000000000000000000000000000000000000000000000
χ8188-8-8-48-84-4400-2-222-440000001-22-11-100000000001-1−151515−1500000000000000000000000000000000000000000000
χ8288-8-8-48-84-4400-2-222-440000001-22-11-100000000001-115−15−151500000000000000000000000000000000000000000000
χ8388-8-8-4-884-448i−8i-2-2224-40000−4i4i12-2-11-100000000−2i2i-11ii−i−i00000000000000000000000000000000000000000000
χ8488-8-8-4-884-44−8i8i-2-2224-400004i−4i12-2-11-1000000002i−2i-11−i−iii00000000000000000000000000000000000000000000
χ858-88-8800-8-8800-22-2200000000-20022-2000000000000000000000000000000000i10−i10−i10i1000000000000000000000000
χ868-88-8800-8-8800-22-2200000000-20022-2000000000000000000000000000000000−i10i10i10−i1000000000000000000000000
χ878-8-888008-8-800-222-200000000-200-222000000−4i24i20000000000000000000000000i2i2−i2−i200000000000000000000000
χ888-8-888008-8-800-222-200000000-200-2220000004i2−4i20000000000000000000000000−i2−i2i2i200000000000000000000000
χ8916-1616-16-80088-800-44-4400000000200-2-22000000000000000000000000000000000000000000000000000000000000
χ9016-16-1616-800-88800-444-4000000002002-2-2000000000000000000000000000000000000000000000000000000000000

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