Finite Group Databasebeta

← Group #14304758

Character table — Group #14304758

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222444444555588888888810101010101012121616161616161616202020202020202020202020202024242424244040404040404040404848606060606060120120120
order122234466651010101212222226615202030303044666688101030303030606044441212121212121212121244040404024466121212122020888888444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-1
χ311111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-1-111111111111111-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ611111111111111111111-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1-1-1-1-111
χ711111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ811111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1111111-1-111111-1-1
χ91111111111111111-1-1-1-1111111111-1-1-1-1-1-11111111111i−ii−i-1-1iiii−i−i−i−i11111-1i−i-1-1ii−i−i11-1-1ii−i−i-1i−i
χ101111111111111111-1-1-1-1111111111-1-1-1-1-1-11111111111−ii−ii-1-1−i−i−i−iiiii11111-1−ii-1-1−i−iii11-1-1−i−iii-1−ii
χ111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111i−ii−i-1-1iiii−i−i−i−i-1-1-1-1-1-1i−i-1-1ii−i−i-1-111−i−iii1−ii
χ121111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111−ii−ii-1-1−i−i−i−iiiii-1-1-1-1-1-1−ii-1-1−i−iii-1-111ii−i−i1i−i
χ131111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111i−ii−i-1-1iiii−i−i−i−i-111111−ii11−i−iii-1-1-1-1ii−i−i1−ii
χ141111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111−ii−ii-1-1−i−i−i−iiiii-111111i−i11ii−i−i-1-1-1-1−i−iii1i−i
χ151111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i-1-1iiii−i−i−i−i1-1-1-1-11−ii11−i−iii1111−i−iii-1i−i
χ161111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−ii-1-1−i−i−i−iiiii1-1-1-1-11i−i11ii−i−i1111ii−i−i-1−ii
χ1722222-2-22222222-2-222220002-2-2222-2-2222200000000-2-222-2-2-2-222-2-222-2-20000000000000000000000000
χ1822222-2-22222222-2-222220002-2-2222-2-2222200000000-2-2-2-222-2-2-2-222-2-2220000000000000000000000000
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-200000000-2-22i−2i−2i2i222i2i−2i−2i−2i−2i2i2i0000000000000000000000000
χ2022222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-200000000-2-2−2i2i2i−2i22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000
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
χ232222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-100-2-21111-1-12222-1-1-1-1-1-1-1-1-1-100000-2-2-211111100000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-100-2-21111-1-1-2-2-2-2-1-11111111100000-22211-1-1-1-100000000000
χ252222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-211110022-1-1-1-1-1-12i−2i2i−2i11−i−i−i−iiiii00000-22i−2i11−i−iii00000000000
χ262222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-211110022-1-1-1-1-1-1−2i2i−2i2i11iiii−i−i−i−i00000-2−2i2i11ii−i−i00000000000
χ272222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-2111100-2-21111-1-12i−2i2i−2i11−i−i−i−iiiii000002−2i2i-1-1ii−i−i00000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-2111100-2-21111-1-1−2i2i−2i2i11iiii−i−i−i−i0000022i−2i-1-1−i−iii00000000000
χ292222-1-2-2-1-1-122221122220−i3i3-1-2-2-1-1-1-2-2-1-1-1-10000−i3−i3i3i31122-2-211-1-111-1-11100000000−i3i3−i3i3−i3i300000000000
χ302222-1-2-2-1-1-122221122220−i3i3-1-2-2-1-1-1-2-2-1-1-1-10000−i3−i3i3i311-2-2221111-1-111-1-100000000−i3i3i3−i3i3−i300000000000
χ312222-1-2-2-1-1-122221122220i3−i3-1-2-2-1-1-1-2-2-1-1-1-10000i3i3−i3−i31122-2-211-1-111-1-11100000000i3−i3i3−i3i3−i300000000000
χ322222-1-2-2-1-1-122221122220i3−i3-1-2-2-1-1-1-2-2-1-1-1-10000i3i3−i3−i311-2-2221111-1-111-1-100000000i3−i3−i3i3−i3i300000000000
χ332222-1-2-2-1-1-1222211-2-2-2-20−i3i3-1-2-2-1-1-12211110000−i3−i3i3i3112i−2i−2i2i-1-1−i−iiiii−i−i00000000i3−i33−3−3300000000000
χ342222-1-2-2-1-1-1222211-2-2-2-20−i3i3-1-2-2-1-1-12211110000−i3−i3i3i311−2i2i2i−2i-1-1ii−i−i−i−iii00000000i3−i3−333−300000000000
χ352222-1-2-2-1-1-1222211-2-2-2-20i3−i3-1-2-2-1-1-12211110000i3i3−i3−i3112i−2i−2i2i-1-1−i−iiiii−i−i00000000−i3i3−333−300000000000
χ362222-1-2-2-1-1-1222211-2-2-2-20i3−i3-1-2-2-1-1-12211110000i3i3−i3−i311−2i2i2i−2i-1-1ii−i−i−i−iii00000000−i3i33−3−3300000000000
χ372-22-222-2-2-222-22-22-22-22-200022-2-2-22-222-2-222i−2i0000002-200002-20000000002i2i−2i−2i000000000002i−2i0000000
χ382-22-222-2-2-222-22-22-22-22-200022-2-2-22-222-2-22−2i2i0000002-200002-2000000000−2i−2i2i2i00000000000−2i2i0000000
χ392-22-222-2-2-222-22-22-2-22-2200022-2-2-222-2-222-22i−2i0000002-20000-220000000002i2i−2i−2i00000000000−2i2i0000000
χ402-22-222-2-2-222-22-22-2-22-2200022-2-2-222-2-222-2−2i2i0000002-20000-22000000000−2i−2i2i2i000000000002i−2i0000000
χ412-22-22-22-2-222-22-2-222-22-20002-22-2-222-22-2-2200000000-220000-22000000000000000000000000002i−2i2i−2i000
χ422-22-22-22-2-222-22-2-222-22-20002-22-2-222-22-2-2200000000-220000-2200000000000000000000000000−2i2i−2i2i000
χ432-22-22-22-2-222-22-2-22-22-220002-22-2-22-22-222-200000000-2200002-2000000000000000000000000002-2-22000
χ442-22-22-22-2-222-22-2-22-22-220002-22-2-22-22-222-200000000-2200002-200000000000000000000000000-222-2000
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
χ474444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-100000044111111-1-100000000000000-4-1-1-1-100000000011000000000
χ484444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000-4-4111111-1-10000000000000041111000000000-1-1000000000
χ4944-4-44004-4-444-4-40044-4-40004004-4-40044-4-40000000000000000000000000000000000000000000000000
χ5044-4-44004-4-444-4-400-4-4440004004-4-400-4-4440000000000000000000000000000000000000000000000000
χ5144-4-4-200-22244-4-40044-4-4000-200-22200-2-22200000000000000000023−230023−230000000000000000000000000
χ5244-4-4-200-22244-4-40044-4-4000-200-22200-2-222000000000000000000−232300−23230000000000000000000000000
χ5344-4-4-200-22244-4-400-4-444000-200-2220022-2-2000000000000000000−2i32i3002i3−2i30000000000000000000000000
χ5444-4-4-200-22244-4-400-4-444000-200-2220022-2-20000000000000000002i3−2i300−2i32i30000000000000000000000000
χ554-44-444-4-4-44-11-114-40000000-1-1111-10000004i−4i−55−55−55-11000000000000000−i−iii000000000−i5i5000000000
χ564-44-444-4-4-44-11-114-40000000-1-1111-10000004i−4i5−55−55−5-11000000000000000−i−iii000000000i5−i5000000000
χ574-44-444-4-4-44-11-114-40000000-1-1111-1000000−4i4i−55−55−55-11000000000000000ii−i−i000000000i5−i5000000000
χ584-44-444-4-4-44-11-114-40000000-1-1111-1000000−4i4i5−55−55−5-11000000000000000ii−i−i000000000−i5i5000000000
χ594-44-4-24-422-24-44-4-224-44-4000-24-422-2-44-222-200000000-220000-22000000000000000000000000000000000
χ604-44-4-24-422-24-44-4-22-44-44000-24-422-24-42-2-2200000000-2200002-2000000000000000000000000000000000
χ614-44-4-2-4422-24-44-42-24-44-4000-2-4422-24-4-222-2000000002-200002-2000000000000000000000000000000000
χ624-44-4-2-4422-24-44-42-2-44-44000-2-4422-2-442-2-22000000002-20000-22000000000000000000000000000000000
χ634-4-44400-44-44-4-44004-4-44000400-44-4004-44-40000000000000000000000000000000000000000000000000
χ644-4-44400-44-44-4-4400-444-4000400-44-400-44-440000000000000000000000000000000000000000000000000
χ654-4-44-2002-224-4-44004-4-44000-2002-2200-22-22000000000000000023−230023−23000000000000000000000000000
χ664-4-44-2002-224-4-44004-4-44000-2002-2200-22-220000000000000000−232300−2323000000000000000000000000000
χ674-4-44-2002-224-4-4400-444-4000-2002-22002-22-20000000000000000−2i32i3002i3−2i3000000000000000000000000000
χ684-4-44-2002-224-4-4400-444-4000-2002-22002-22-200000000000000002i3−2i300−2i32i3000000000000000000000000000
χ6988888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000000022000000000000000000000000000000000000000
χ708888-488-4-4-4-2-2-2-2-4-400008-4-41-2-211100000000-2-2111111000000000000000000000000000000000000000
χ718888-488-4-4-4-2-2-2-2-4-40000-8441-2-21110000000022-1-1-1-111000000000000000000000000000000000000000
χ728888-4-8-8-4-4-4-2-2-2-24400000−4i34i31221110000000000i3i3−i3−i3-1-1000000000000000000000000000000000000000
χ738888-4-8-8-4-4-4-2-2-2-244000004i3−4i31221110000000000−i3−i3i3i3-1-1000000000000000000000000000000000000000
χ7488-8-88008-8-8-2-222000000000-200-2220000000000000000000000000000000i10−i10i10−i1000000000000000000000
χ7588-8-88008-8-8-2-222000000000-200-2220000000000000000000000000000000−i10i10−i10i1000000000000000000000
χ768-88-88-88-8-88-22-22-880000000-22-222-2000000000000002-2000000000000000000000000000000000000000
χ778-88-8-48-844-4-22-22-4400000001-22-1-1100000000−25255−55−51-1000000000000000000000000000000000000000
χ788-88-8-48-844-4-22-22-4400000001-22-1-110000000025−25−55−551-1000000000000000000000000000000000000000
χ798-88-8-4-8844-4-22-224-4000000012-2-1-110000000000−i15i15i15−i15-11000000000000000000000000000000000000000
χ808-88-8-4-8844-4-22-224-4000000012-2-1-110000000000i15−i15−i15i15-11000000000000000000000000000000000000000
χ818-8-88800-88-8-222-2000000000-2002-22000000000000000000000000000000010−10−101000000000000000000000
χ828-8-88800-88-8-222-2000000000-2002-220000000000000000000000000000000−101010−1000000000000000000000
χ831616-16-16-800-888-4-4440000000002002-2-20000000000000000000000000000000000000000000000000000000
χ8416-16-1616-8008-88-444-4000000000200-22-20000000000000000000000000000000000000000000000000000000

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