Finite Group Databasebeta

← Group #14301071

Character table — Group #14301071

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444555588888888810101010101010101010121212121616161616161616202020202020202020202020242424244040404040404040404848606060606060606060606060
order122234466651010101212222226615202030303044444466662288101030303030606044121212121212121212124040404024466121212121010224444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111
χ511111111111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-11111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111
χ811111111111111111111-1-1-11111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-1111111111-1ii−i−i-1-1-1-1-1111111111111i−i-1-1iiii−i−i−i−i1111-1i−i-1-1ii−i−i11-1-1ii−i−i-1-1ii−i−i
χ101111111111111111-1-1-1-1111111111-1ii−i−i-1-1-1-1-1-1-1-1-111111111i−i-1-1iiii−i−i−i−i-1-1-1-1-1i−i-1-1ii−i−i-1-111−i−iii11−i−iii
χ111111111111111111-1-1-1-1111111111-1−i−iii-1-1-1-1-1111111111111−ii-1-1−i−i−i−iiiii1111-1−ii-1-1−i−iii11-1-1−i−iii-1-1−i−iii
χ121111111111111111-1-1-1-1111111111-1−i−iii-1-1-1-1-1-1-1-1-111111111−ii-1-1−i−i−i−iiiii-1-1-1-1-1−ii-1-1−i−iii-1-111ii−i−i11ii−i−i
χ131111111111111111-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-111-1-1-1-1-1-1-1-111i−i-1-1iiii−i−i−i−i-1-1-1-11−ii11−i−iii11-1-1ii−i−i11−i−iii
χ141111111111111111-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-1-1-111-1-1-1-1-1-111i−i-1-1iiii−i−i−i−i11111−ii11−i−iii-1-111−i−iii-1-1ii−i−i
χ151111111111111111-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-111-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−iiiii-1-1-1-11i−i11ii−i−i11-1-1−i−iii11ii−i−i
χ161111111111111111-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-1-1-111-1-1-1-1-1-111−ii-1-1−i−i−i−iiiii11111i−i11ii−i−i-1-111ii−i−i-1-1−i−iii
χ1722222-2-22222222-2-222220002-2-2222-22222-222220000000000-2-2-2-2-2-222-2-222-2-2000000000000000000000000000
χ1822222-2-22222222-2-222220002-2-2222-2-2-2-2-2-222220000000000-2-222-2-2-2-222-2-222000000000000000000000000000
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222i2i−2i−2i2-2-2-2-20000000000-2-2−2i2i222i2i−2i−2i−2i−2i2i2i000000000000000000000000000
χ2022222-2-22222222-2-2-2-2-2-20002-2-22222−2i−2i2i2i2-2-2-2-20000000000-2-22i−2i22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000
χ212222-122-1-1-12222-1-122222-1-1-122-1-1-1222222-1-1-1-1000022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-100000000000000
χ222222-122-1-1-12222-1-122222-1-1-122-1-1-12-2-2-2-22-1-1-1-1000022-1-1-1-1-1-1-2-2-1-11111111100002-2-2-1-1111100000000000000
χ232222-122-1-1-12222-1-12222-211-122-1-1-1222222-1-1-1-10000-2-21111-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-211111100000000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-12-2-2-2-22-1-1-1-10000-2-21111-1-1-2-2-1-1111111110000-22211-1-1-1-100000000000000
χ252222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-22i2i−2i−2i-21111000022-1-1-1-1-1-12i−2i11−i−i−i−iiiii0000-22i−2i11−i−iii00000000000000
χ262222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2−2i−2i2i2i-21111000022-1-1-1-1-1-1−2i2i11iiii−i−i−i−i0000-2−2i2i11ii−i−i00000000000000
χ272222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-22i2i−2i−2i-211110000-2-21111-1-12i−2i11−i−i−i−iiiii00002−2i2i-1-1ii−i−i00000000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2−2i−2i2i2i-211110000-2-21111-1-1−2i2i11iiii−i−i−i−i000022i−2i-1-1−i−iii00000000000000
χ292222-1-2-2-1-1-122221122220−i3i3-1-2-2-1-1-1-22222-2-1-1-1-1000000−i3−i3i3i311-2-211-1-111-1-1110000000−i3i3−i3i3−i3i300000000000000
χ302222-1-2-2-1-1-122221122220−i3i3-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1000000−i3−i3i3i311221111-1-111-1-10000000−i3i3i3−i3i3−i300000000000000
χ312222-1-2-2-1-1-122221122220i3−i3-1-2-2-1-1-1-22222-2-1-1-1-1000000i3i3−i3−i311-2-211-1-111-1-1110000000i3−i3i3−i3i3−i300000000000000
χ322222-1-2-2-1-1-122221122220i3−i3-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1000000i3i3−i3−i311221111-1-111-1-10000000i3−i3−i3i3−i3i300000000000000
χ332222-1-2-2-1-1-1222211-2-2-2-20−i3i3-1-2-2-1-1-122i2i−2i−2i21111000000−i3−i3i3i311−2i2i-1-1−i−iiiii−i−i0000000i3−i33−3−3300000000000000
χ342222-1-2-2-1-1-1222211-2-2-2-20−i3i3-1-2-2-1-1-12−2i−2i2i2i21111000000−i3−i3i3i3112i−2i-1-1ii−i−i−i−iii0000000i3−i3−333−300000000000000
χ352222-1-2-2-1-1-1222211-2-2-2-20i3−i3-1-2-2-1-1-122i2i−2i−2i21111000000i3i3−i3−i311−2i2i-1-1−i−iiiii−i−i0000000−i3i3−333−300000000000000
χ362222-1-2-2-1-1-1222211-2-2-2-20i3−i3-1-2-2-1-1-12−2i−2i2i2i21111000000i3i3−i3−i3112i−2i-1-1ii−i−i−i−iii0000000−i3i33−3−3300000000000000
χ3722-2-22002-2-222-2-20022-2-20002002-2-202i−2i2i−2i022-2-2002−20000000000002i−2i002i−2i0022−2−2000000000000000002−2−i2i2−i2i2
χ3822-2-22002-2-222-2-20022-2-20002002-2-202i−2i2i−2i022-2-200−220000000000002i−2i002i−2i00−2−22200000000000000000−22i2−i2i2−i2
χ3922-2-22002-2-222-2-20022-2-20002002-2-20−2i2i−2i2i022-2-2002−2000000000000−2i2i00−2i2i0022−2−2000000000000000002−2i2−i2i2−i2
χ4022-2-22002-2-222-2-20022-2-20002002-2-20−2i2i−2i2i022-2-200−22000000000000−2i2i00−2i2i00−2−22200000000000000000−22−i2i2−i2i2
χ4122-2-22002-2-222-2-200-2-2220002002-2-202-2-220-2-222002−20000000000002-200-220022−2−200000000000000000−22−222−2
χ4222-2-22002-2-222-2-200-2-2220002002-2-202-2-220-2-22200−220000000000002-200-2200−2−222000000000000000002−22−2−22
χ4322-2-22002-2-222-2-200-2-2220002002-2-20-222-20-2-222002−2000000000000-22002-20022−2−200000000000000000−222−2−22
χ4422-2-22002-2-222-2-200-2-2220002002-2-20-222-20-2-22200−22000000000000-22002-200−2−222000000000000000002−2−222−2
χ452-2-2222-2-2-222-2-222-22-22-200022-2-2-2220000-22-2-2200000000002-2002-200000000000000000000000002i−2i2i−2i000000
χ462-2-2222-2-2-222-2-222-22-22-200022-2-2-2220000-22-2-2200000000002-2002-20000000000000000000000000−2i2i−2i2i000000
χ472-2-2222-2-2-222-2-222-2-22-2200022-2-2-22-200002-222-200000000002-200-2200000000000000000000000002-2-22000000
χ482-2-2222-2-2-222-2-222-2-22-2200022-2-2-22-200002-222-200000000002-200-220000000000000000000000000-222-2000000
χ492-2-222-22-2-222-2-22-222-22-20002-22-2-22-2000022-2-222-200000000-2200-220000000000000000000002-22-20000000000
χ502-2-222-22-2-222-2-22-222-22-20002-22-2-22-2000022-2-22-2200000000-2200-22000000000000000000000-22-220000000000
χ512-2-222-22-2-222-2-22-22-22-220002-22-2-2220000-2-222-22-200000000-22002-20000000000000000000002-2-220000000000
χ522-2-222-22-2-222-2-22-22-22-220002-22-2-2220000-2-222-2-2200000000-22002-2000000000000000000000-222-20000000000
χ534444444444-1-1-1-1440000444-1-1-1-1-1-100000000004444-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000000-1-1000000000000
χ544444444444-1-1-1-1440000444-1-1-1-1-1-10000000000-4-4-4-4-1-1-1-1-1-1-1-1000000000000111100000000011000000000000
χ554444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000000044-4-4111111-1-10000000000001111000000000-1-1000000000000
χ564444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-10000000000-4-444111111-1-1000000000000-1-1-1-100000000011000000000000
χ5744-4-4-200-22244-4-40044-4-4000-200-22204i−4i4i−4i0-2-2220000000000000000−2i2i00−2i2i00000000000000000000000000000
χ5844-4-4-200-22244-4-40044-4-4000-200-2220−4i4i−4i4i0-2-22200000000000000002i−2i002i−2i00000000000000000000000000000
χ5944-4-4-200-22244-4-400-4-444000-200-22204-4-44022-2-20000000000000000-22002-200000000000000000000000000000
χ6044-4-4-200-22244-4-400-4-444000-200-2220-444-4022-2-200000000000000002-200-2200000000000000000000000000000
χ614-44-4400-44-44-44-4004-4-44000400-44-40000004-44-4000000000000000000000000000000000000000000000000000
χ624-44-4400-44-44-44-400-444-4000400-44-4000000-44-44000000000000000000000000000000000000000000000000000
χ634-44-4-2002-224-44-4004-4-44000-2002-22000000-22-2200000000000000000023−230023−23000000000000000000000000000
χ644-44-4-2002-224-44-4004-4-44000-2002-22000000-22-22000000000000000000−232300−2323000000000000000000000000000
χ654-44-4-2002-224-44-400-444-4000-2002-220000002-22-2000000000000000000−2i32i3002i3−2i3000000000000000000000000000
χ664-44-4-2002-224-44-400-444-4000-2002-220000002-22-20000000000000000002i3−2i300−2i32i3000000000000000000000000000
χ674-4-444-44-4-44-111-1-440000000-11-111-100000000004-400−55−55−551-1000000000000−55−55000000000-11000000000000
χ684-4-444-44-4-44-111-1-440000000-11-111-100000000004-4005−55−55−51-10000000000005−55−5000000000-11000000000000
χ694-4-444-44-4-44-111-1-440000000-11-111-10000000000-4400−55−55−551-10000000000005−55−50000000001-1000000000000
χ704-4-444-44-4-44-111-1-440000000-11-111-10000000000-44005−55−55−51-1000000000000−55−550000000001-1000000000000
χ714-4-44-24-422-24-4-44-224-44-4000-24-422-240000-4-222-20000000000-2200-2200000000000000000000000000000000000
χ724-4-44-24-422-24-4-44-22-44-44000-24-422-2-4000042-2-220000000000-22002-200000000000000000000000000000000000
χ734-4-44-2-4422-24-4-442-24-44-4000-2-4422-2-400004-222-200000000002-2002-200000000000000000000000000000000000
χ744-4-44-2-4422-24-4-442-2-44-44000-2-4422-240000-42-2-2200000000002-200-2200000000000000000000000000000000000
χ7588888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000000000000022000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-400008-4-41-2-211100000000000000-2-2111111000000000000000000000000000000000000000
χ778888-488-4-4-4-2-2-2-2-4-40000-8441-2-21110000000000000022-1-1-1-111000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-24400000−4i34i31221110000000000000000i3i3−i3−i3-1-1000000000000000000000000000000000000000
χ798888-4-8-8-4-4-4-2-2-2-244000004i3−4i31221110000000000000000−i3−i3i3i3-1-1000000000000000000000000000000000000000
χ8088-8-88008-8-8-2-222000000000-200-22200000000000042−4200000000000000000000−2−22200000000000000000000000
χ8188-8-88008-8-8-2-222000000000-200-222000000000000−42420000000000000000000022−2−200000000000000000000000
χ828-88-8800-88-8-22-22000000000-2002-22000000000000000000000000000000000010−10−101000000000000000000000000
χ838-88-8800-88-8-22-22000000000-2002-220000000000000000000000000000000000−101010−1000000000000000000000000
χ848-8-8888-8-8-88-222-28-80000000-2-2222-200000000000000000000-22000000000000000000000000000000000000000
χ858-8-88-48-844-4-222-2-4400000001-22-1-110000000000000000−i15i15i15−i151-1000000000000000000000000000000000000000
χ868-8-88-48-844-4-222-2-4400000001-22-1-110000000000000000i15−i15−i15i151-1000000000000000000000000000000000000000
χ878-8-88-4-8844-4-222-24-4000000012-2-1-1100000000000000−25255−55−5-11000000000000000000000000000000000000000
χ888-8-88-4-8844-4-222-24-4000000012-2-1-110000000000000025−25−55−55-11000000000000000000000000000000000000000
χ891616-16-16-800-888-4-4440000000002002-2-20000000000000000000000000000000000000000000000000000000000000
χ9016-1616-16-8008-88-44-44000000000200-22-20000000000000000000000000000000000000000000000000000000000000

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