Finite Group Databasebeta

← Group #14300211

Character table — Group #14300211

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444555588888888810101010101010101010121212121616161616161616202020202020202020202020242424244040404040404040404848606060606060606060606060
order1222344666510101012122222412121520203030304444446666448820206060606060604412121212121212121212404040404441212121212122020444444888888
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
χ511111111111111111111-1-1-1111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-11111111111111111-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-11111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111
χ811111111111111111111-1-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-1111111111-1ii−i−i-1-1-1-1-1111111111111i−i-1-1ii−i−iii−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-1-1ii−i−iii−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−iii−i−iii1111-1−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−iii−i−iii-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-1-1-1-1-111-1-1-1-111-1-1-1-1i−i-1-1ii−i−iii−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-1-1-1-1-1-1-111-1-111-1-1-1-1i−i-1-1ii−i−iii−i−i11111−ii11−i−iii-1-111−i−iii-1-1ii−i−i
χ151111111111111111-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-111-1-1-1-111-1-1-1-1−ii-1-1−i−iii−i−iii-1-1-1-11i−i11ii−i−i11-1-1−i−iii11ii−i−i
χ161111111111111111-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-1-1-111-1-111-1-1-1-1−ii-1-1−i−iii−i−iii11111i−i11ii−i−i-1-111ii−i−i-1-1−i−iii
χ1722222-2-22222222-2-222220002-2-2222-22222-22222000000-2-20000-2-2-2-2-2-2-2-22222000000000000000000000000000
χ1822222-2-22222222-2-222220002-2-2222-2-2-2-2-2-22222000000-2-2000022-2-22222-2-2-2-2000000000000000000000000000
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222i2i−2i−2i2-2-2-2-2000000-2-20000−2i2i22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000
χ2022222-2-22222222-2-2-2-2-2-20002-2-22222−2i−2i2i2i2-2-2-2-2000000-2-200002i−2i222i2i−2i−2i−2i−2i2i2i000000000000000000000000000
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
χ232222-122-1-1-12222-1-12222-211-122-1-1-1222222-1-1-1-10000-2-2-1-1111122-1-1-1-1-1-1-1-1-1-10000-2-2-211111100000000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-12-2-2-2-22-1-1-1-10000-2-2-1-11111-2-2-1-1111111110000-22211-1-1-1-100000000000000
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−iii−i−iii0000-22i−2i11−i−iii00000000000000
χ262222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2−2i−2i2i2i-21111000022-1-1-1-1-1-1−2i2i11ii−i−iii−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-211110000-2-2-1-111112i−2i11−i−iii−i−iii00002−2i2i-1-1ii−i−i00000000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2−2i−2i2i2i-211110000-2-2-1-11111−2i2i11ii−i−iii−i−i000022i−2i-1-1−i−iii00000000000000
χ292222-1-2-2-1-1-122221122220−i3i3-1-2-2-1-1-1-22222-2-1-1-1-100000011−i3−i3i3i3-2-2111111-1-1-1-10000000−i3i3−i3i3−i3i300000000000000
χ302222-1-2-2-1-1-122221122220−i3i3-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-100000011−i3−i3i3i32211-1-1-1-111110000000−i3i3i3−i3i3−i300000000000000
χ312222-1-2-2-1-1-122221122220i3−i3-1-2-2-1-1-1-22222-2-1-1-1-100000011i3i3−i3−i3-2-2111111-1-1-1-10000000i3−i3i3−i3i3−i300000000000000
χ322222-1-2-2-1-1-122221122220i3−i3-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-100000011i3i3−i3−i32211-1-1-1-111110000000i3−i3−i3i3−i3i300000000000000
χ332222-1-2-2-1-1-1222211-2-2-2-20−i3i3-1-2-2-1-1-122i2i−2i−2i2111100000011−i3−i3i3i3−2i2i-1-1ii−i−i−i−iii0000000i3−i33−3−3300000000000000
χ342222-1-2-2-1-1-1222211-2-2-2-20−i3i3-1-2-2-1-1-12−2i−2i2i2i2111100000011−i3−i3i3i32i−2i-1-1−i−iiiii−i−i0000000i3−i3−333−300000000000000
χ352222-1-2-2-1-1-1222211-2-2-2-20i3−i3-1-2-2-1-1-122i2i−2i−2i2111100000011i3i3−i3−i3−2i2i-1-1ii−i−i−i−iii0000000−i3i3−333−300000000000000
χ362222-1-2-2-1-1-1222211-2-2-2-20i3−i3-1-2-2-1-1-12−2i−2i2i2i2111100000011i3i3−i3−i32i−2i-1-1−i−iiiii−i−i0000000−i3i33−3−3300000000000000
χ372-22-2200-2-222-22-2002-22-2000200-2-2202-22-202-2-2200−i2i200000000000000002-22-2−i2−i2i2i200000000000000000−i2i2−i2i2−i2i2
χ382-22-2200-2-222-22-2002-22-2000200-2-2202-22-202-2-2200i2−i200000000000000002-22-2i2i2−i2−i200000000000000000i2−i2i2−i2i2−i2
χ392-22-2200-2-222-22-2002-22-2000200-2-220-22-2202-2-2200−i2i20000000000000000-22-22−i2−i2i2i200000000000000000−i2i2i2−i2i2−i2
χ402-22-2200-2-222-22-2002-22-2000200-2-220-22-2202-2-2200i2−i20000000000000000-22-22i2i2−i2−i200000000000000000i2−i2−i2i2−i2i2
χ412-22-2200-2-222-22-200-22-22000200-2-2202i−2i−2i2i0-222-200−i2i200000000000000002i−2i−2i2i−i2−i2i2i200000000000000000i2−i22−2−22
χ422-22-2200-2-222-22-200-22-22000200-2-2202i−2i−2i2i0-222-200i2−i200000000000000002i−2i−2i2ii2i2−i2−i200000000000000000−i2i2−222−2
χ432-22-2200-2-222-22-200-22-22000200-2-220−2i2i2i−2i0-222-200−i2i20000000000000000−2i2i2i−2i−i2−i2i2i200000000000000000i2−i2−222−2
χ442-22-2200-2-222-22-200-22-22000200-2-220−2i2i2i−2i0-222-200i2−i20000000000000000−2i2i2i−2ii2i2−i2−i200000000000000000−i2i22−2−22
χ452-2-2222-2-22-22-2-222-222-2-200022-2-22-220000-222-2-22-200002-20000002-20000000000000000000002-22-20000000000
χ462-2-2222-2-22-22-2-222-222-2-200022-2-22-220000-222-2-2-2200002-20000002-2000000000000000000000-22-220000000000
χ472-2-2222-2-22-22-2-222-2-2-22200022-2-22-2-200002-2-2222-200002-2000000-220000000000000000000002-2-220000000000
χ482-2-2222-2-22-22-2-222-2-2-22200022-2-22-2-200002-2-222-2200002-2000000-22000000000000000000000-222-20000000000
χ492-2-222-22-22-22-2-22-2222-2-20002-22-22-2-20000222-2-2000000-22000000-2200000000000000000000000002i−2i2i−2i000000
χ502-2-222-22-22-22-2-22-2222-2-20002-22-22-2-20000222-2-2000000-22000000-220000000000000000000000000−2i2i−2i2i000000
χ512-2-222-22-22-22-2-22-22-2-2220002-22-22-220000-2-2-222000000-220000002-200000000000000000000000002-2-22000000
χ522-2-222-22-22-22-2-22-22-2-2220002-22-22-220000-2-2-222000000-220000002-20000000000000000000000000-222-2000000
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
χ554444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000000044-4-411-1-111110000000000001111000000000-1-1000000000000
χ564444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-10000000000-4-44411-1-11111000000000000-1-1-1-100000000011000000000000
χ5744-4-44004-4-444-4-4004-4-440004004-4-40000004-44-4000000000000000000000000000000000000000000000000000
χ5844-4-44004-4-444-4-400-444-40004004-4-4000000-44-44000000000000000000000000000000000000000000000000000
χ5944-4-4-200-22244-4-4004-4-44000-200-222000000-22-220000000000000000−2i32i3−2i32i30000000000000000000000000000000
χ6044-4-4-200-22244-4-4004-4-44000-200-222000000-22-2200000000000000002i3−2i32i3−2i30000000000000000000000000000000
χ6144-4-4-200-22244-4-400-444-4000-200-2220000002-22-2000000000000000023−23−23230000000000000000000000000000000
χ6244-4-4-200-22244-4-400-444-4000-200-2220000002-22-20000000000000000−232323−230000000000000000000000000000000
χ634-44-4-20022-24-44-4004-44-4000-20022-204-44-40-222-200000000000000000000-22-22000000000000000000000000000
χ644-44-4-20022-24-44-4004-44-4000-20022-20-44-440-222-2000000000000000000002-22-2000000000000000000000000000
χ654-44-4-20022-24-44-400-44-44000-20022-204i−4i−4i4i02-2-2200000000000000000000−2i2i2i−2i000000000000000000000000000
χ664-44-4-20022-24-44-400-44-44000-20022-20−4i4i4i−4i02-2-22000000000000000000002i−2i−2i2i000000000000000000000000000
χ674-4-4444-4-44-4-111-14-40000000-1-111-1100000000004-400−i5i5-11−i5i5−i5i5000000000000−i5i5−i5i5000000000-11000000000000
χ684-4-4444-4-44-4-111-14-40000000-1-111-1100000000004-400i5−i5-11i5−i5i5−i5000000000000i5−i5i5−i5000000000-11000000000000
χ694-4-4444-4-44-4-111-14-40000000-1-111-110000000000-4400−i5i5-11−i5i5−i5i5000000000000i5−i5i5−i50000000001-1000000000000
χ704-4-4444-4-44-4-111-14-40000000-1-111-110000000000-4400i5−i5-11i5−i5i5−i5000000000000−i5i5−i5i50000000001-1000000000000
χ714-4-44-24-42-224-4-44-2244-4-4000-24-42-2240000-4-2-222000000-22000000-2200000000000000000000000000000000000
χ724-4-44-24-42-224-4-44-22-4-444000-24-42-22-40000422-2-2000000-220000002-200000000000000000000000000000000000
χ734-4-44-2-442-224-4-442-244-4-4000-2-442-22-400004-2-2220000002-20000002-200000000000000000000000000000000000
χ744-4-44-2-442-224-4-442-2-4-444000-2-442-2240000-422-2-20000002-2000000-2200000000000000000000000000000000000
χ7588888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000000000220000000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-400008-4-41-2-211100000000000000-2-2111111000000000000000000000000000000000000000
χ778888-488-4-4-4-2-2-2-2-4-40000-8441-2-2111000000000000002211-1-1-1-1000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-24400000−4i34i31221110000000000000000-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ798888-4-8-8-4-4-4-2-2-2-244000004i3−4i31221110000000000000000-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ8088-8-88008-8-8-2-222000000000-200-222000000000000000000000000000000000010−10−101000000000000000000000000
χ8188-8-88008-8-8-2-222000000000-200-2220000000000000000000000000000000000−101010−1000000000000000000000000
χ828-88-8800-8-88-22-22000000000-20022-2000000000000−4i24i200000000000000000000i2i2−i2−i200000000000000000000000
χ838-88-8800-8-88-22-22000000000-20022-20000000000004i2−4i200000000000000000000−i2−i2i2i200000000000000000000000
χ848-8-888-88-88-8-222-2-880000000-22-22-2200000000000000002-20000000000000000000000000000000000000000000
χ858-8-88-48-84-44-222-2-4400000001-22-11-100000000000000−2i52i51-1i5−i5i5−i5000000000000000000000000000000000000000
χ868-8-88-48-84-44-222-2-4400000001-22-11-1000000000000002i5−2i51-1−i5i5−i5i5000000000000000000000000000000000000000
χ878-8-88-4-884-44-222-24-4000000012-2-11-10000000000000000-11−151515−15000000000000000000000000000000000000000
χ888-8-88-4-884-44-222-24-4000000012-2-11-10000000000000000-1115−15−1515000000000000000000000000000000000000000
χ891616-16-16-800-888-4-4440000000002002-2-20000000000000000000000000000000000000000000000000000000000000
χ9016-1616-16-80088-8-44-44000000000200-2-220000000000000000000000000000000000000000000000000000000000000

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