Finite Group Databasebeta

← Group #14304618

Character table — Group #14304618

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444455556666888888888101010101010101010101010101016161616161616162020202020202020202024242424243030303030303030303030304040404040404040404848120120120
order1222344666510101012122222888841212152020303030444444444466662020606060606060121212121212121212122404040408888888888884441212121212121010244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1
χ3111111111111111111111111-1-1-111111111111111111111-1-111-1-1-1-11111111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ811111111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-11111111-1-1
χ91111111111111111-1-1-1-11111111111111-1ii−i−iii−i−i-1-1-1-1-111111111-1-1ii−i−iii−i−i11111-1-1-1-1iiii−i−i−i−i-1i−i-1-1ii−i−i11-1i−i
χ101111111111111111-1-1-1-11111111111111-1−i−iii−i−iii-1-1-1-1-111111111-1-1−i−iii−i−iii11111-1-1-1-1−i−i−i−iiiii-1−ii-1-1−i−iii11-1−ii
χ111111111111111111-1-1-1-11111-1-1-1111111-1ii−i−iii−i−i-1-1-1-1-1-1-111-1-1-1-1-1-1ii−i−iii−i−i-11111-1-1-1-1iiii−i−i−i−i1−ii11−i−iii-1-11−ii
χ121111111111111111-1-1-1-11111-1-1-1111111-1−i−iii−i−iii-1-1-1-1-1-1-111-1-1-1-1-1-1−i−iii−i−iii-11111-1-1-1-1−i−i−i−iiiii1i−i11ii−i−i-1-11i−i
χ131111111111111111-1-1-1-1-1-1-1-1111111111-1ii−i−iii−i−i-1-1-1-1-111111111-1-1ii−i−iii−i−i-1-1-1-1-11111−i−i−i−iiiii-1i−i-1-1ii−i−i-1-11−ii
χ141111111111111111-1-1-1-1-1-1-1-1111111111-1−i−iii−i−iii-1-1-1-1-111111111-1-1−i−iii−i−iii-1-1-1-1-11111iiii−i−i−i−i-1−ii-1-1−i−iii-1-11i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1ii−i−iii−i−i-1-1-1-1-1-1-111-1-1-1-1-1-1ii−i−iii−i−i1-1-1-1-11111−i−i−i−iiiii1−ii11−i−iii11-1i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1−i−iii−i−iii-1-1-1-1-1-1-111-1-1-1-1-1-1−i−iii−i−iii1-1-1-1-11111iiii−i−i−i−i1i−i11ii−i−i11-1−ii
χ1722222-2-22222222-2-2222200000002-2-2222-22222-2-2-2-2-2222200-2-20000-2-22222-2-2-2-20000000000000000000000000000000
χ1822222-2-22222222-2-2222200000002-2-2222-2-2-2-2-22222-2222200-2-20000-2-2-2-2-2-222220000000000000000000000000000000
χ1922222-2-22222222-2-2-2-2-2-200000002-2-222222i2i−2i−2i−2i−2i2i2i2-2-2-2-200-2-20000222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000
χ2022222-2-22222222-2-2-2-2-2-200000002-2-22222−2i−2i2i2i2i2i−2i−2i2-2-2-2-200-2-2000022−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000
χ212222-122-1-1-12222-1-1222200002-1-1-122-1-1-12222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000222-1-1-1-1-1-100000
χ222222-122-1-1-12222-1-1222200002-1-1-122-1-1-12-2-2-2-2-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-111111111000000000000000002-2-2-1-1111100000
χ232222-122-1-1-12222-1-122220000-211-122-1-1-12222222222-1-1-1-1-2-2-1-11111-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-211111100000
χ242222-122-1-1-12222-1-122220000-211-122-1-1-12-2-2-2-2-2-2-2-22-1-1-1-1-2-2-1-11111-1-11111111100000000000000000-22211-1-1-1-100000
χ252222-122-1-1-12222-1-1-2-2-2-200002-1-1-122-1-1-1-22i2i−2i−2i2i2i−2i−2i-2111122-1-1-1-1-1-111−i−iii−i−iii00000000000000000-22i−2i11−i−iii00000
χ262222-122-1-1-12222-1-1-2-2-2-200002-1-1-122-1-1-1-2−2i−2i2i2i−2i−2i2i2i-2111122-1-1-1-1-1-111ii−i−iii−i−i00000000000000000-2−2i2i11ii−i−i00000
χ272222-122-1-1-12222-1-1-2-2-2-20000-211-122-1-1-1-22i2i−2i−2i2i2i−2i−2i-21111-2-2-1-1111111−i−iii−i−iii000000000000000002−2i2i-1-1ii−i−i00000
χ282222-122-1-1-12222-1-1-2-2-2-20000-211-122-1-1-1-2−2i−2i2i2i−2i−2i2i2i-21111-2-2-1-1111111ii−i−iii−i−i0000000000000000022i−2i-1-1−i−iii00000
χ292222-1-2-2-1-1-1222211222200000−i3i3-1-2-2-1-1-1-22222-2-2-2-2-2-1-1-1-10011−i3−i3i3i311-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i300000
χ302222-1-2-2-1-1-1222211222200000−i3i3-1-2-2-1-1-1-2-2-2-2-22222-2-1-1-1-10011−i3−i3i3i3111111-1-1-1-100000000000000000000−i3i3i3−i3i3−i300000
χ312222-1-2-2-1-1-1222211222200000i3−i3-1-2-2-1-1-1-22222-2-2-2-2-2-1-1-1-10011i3i3−i3−i311-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i300000
χ322222-1-2-2-1-1-1222211222200000i3−i3-1-2-2-1-1-1-2-2-2-2-22222-2-1-1-1-10011i3i3−i3−i3111111-1-1-1-100000000000000000000i3−i3−i3i3−i3i300000
χ332222-1-2-2-1-1-1222211-2-2-2-200000−i3i3-1-2-2-1-1-122i2i−2i−2i−2i−2i2i2i211110011−i3−i3i3i3-1-1−i−iiiii−i−i00000000000000000000i3−i33−3−3300000
χ342222-1-2-2-1-1-1222211-2-2-2-200000−i3i3-1-2-2-1-1-12−2i−2i2i2i2i2i−2i−2i211110011−i3−i3i3i3-1-1ii−i−i−i−iii00000000000000000000i3−i3−333−300000
χ352222-1-2-2-1-1-1222211-2-2-2-200000i3−i3-1-2-2-1-1-122i2i−2i−2i−2i−2i2i2i211110011i3i3−i3−i3-1-1−i−iiiii−i−i00000000000000000000−i3i3−333−300000
χ362222-1-2-2-1-1-1222211-2-2-2-200000i3−i3-1-2-2-1-1-12−2i−2i2i2i2i2i−2i−2i211110011i3i3−i3−i3-1-1ii−i−i−i−iii00000000000000000000−i3i33−3−3300000
χ3722-2-22002-2-222-2-2002-22-2−i2−i2i2i20002002-2-202i−2i2i−2i000002-2-2200000000002i−2i2i−2i00000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000000000
χ3822-2-22002-2-222-2-2002-22-2−i2−i2i2i20002002-2-20−2i2i−2i2i000002-2-220000000000−2i2i−2i2i00000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000000000
χ3922-2-22002-2-222-2-2002-22-2i2i2−i2−i20002002-2-202i−2i2i−2i000002-2-2200000000002i−2i2i−2i00000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000000000
χ4022-2-22002-2-222-2-2002-22-2i2i2−i2−i20002002-2-20−2i2i−2i2i000002-2-220000000000−2i2i−2i2i00000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000000000
χ4122-2-22002-2-222-2-200-22-22−i2−i2i2i20002002-2-202-2-2200000-222-200000000002-2-2200000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000
χ4222-2-22002-2-222-2-200-22-22−i2−i2i2i20002002-2-20-222-200000-222-20000000000-222-200000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000
χ4322-2-22002-2-222-2-200-22-22i2i2−i2−i20002002-2-202-2-2200000-222-200000000002-2-2200000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000
χ4422-2-22002-2-222-2-200-22-22i2i2−i2−i20002002-2-20-222-200000-222-20000000000-222-200000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000
χ452-22-222-2-22-22-22-22-22-2-222i−2i2i−2i00022-2-22-2-200000000222-2-2002-200002-20000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ462-22-222-2-22-22-22-22-22-2-22−2i2i−2i2i00022-2-22-2-200000000222-2-2002-200002-2000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ472-22-222-2-22-22-22-22-2-222-22i−2i2i−2i00022-2-22-2200000000-2-2-222002-20000-220000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ482-22-222-2-22-22-22-22-2-222-2−2i2i−2i2i00022-2-22-2200000000-2-2-222002-20000-22000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ492-22-22-22-22-22-22-2-222-2-2200000002-22-22-2200000000-222-2-200-220000-22000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ502-22-22-22-22-22-22-2-222-2-2200000002-22-22-2200000000-222-2-200-220000-2200000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ512-22-22-22-22-22-22-2-22-222-200000002-22-22-2-2000000002-2-22200-2200002-2000000000000000002-22-2-22-2200000000000000
χ522-22-22-22-22-22-22-2-22-222-200000002-22-22-2-2000000002-2-22200-2200002-200000000000000000-22-222-22-200000000000000
χ532-2-22200-2-222-2-220022-2-22−2−22000200-2-22000002i−2i2i−2i02-22-2000000000000002i−2i2i−2i02−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000000000
χ542-2-22200-2-222-2-220022-2-22−2−22000200-2-2200000−2i2i−2i2i02-22-200000000000000−2i2i−2i2i02−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000000000
χ552-2-22200-2-222-2-220022-2-2−222−2000200-2-22000002i−2i2i−2i02-22-2000000000000002i−2i2i−2i0−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000000000
χ562-2-22200-2-222-2-220022-2-2−222−2000200-2-2200000−2i2i−2i2i02-22-200000000000000−2i2i−2i2i0−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000000000
χ572-2-22200-2-222-2-2200-2-2222−2−22000200-2-22000002-2-220-22-22000000000000002-2-2202−2−22−222−2−222−22−2−2200000000000000
χ582-2-22200-2-222-2-2200-2-2222−2−22000200-2-2200000-222-20-22-2200000000000000-222-202−2−22−222−22−2−22−222−200000000000000
χ592-2-22200-2-222-2-2200-2-222−222−2000200-2-22000002-2-220-22-22000000000000002-2-220−222−22−2−222−2−22−222−200000000000000
χ602-2-22200-2-222-2-2200-2-222−222−2000200-2-2200000-222-20-22-2200000000000000-222-20−222−22−2−22−222−22−2−2200000000000000
χ614444444444-1-1-1-14400004444444-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-100000000004-1-1-1-1000000000000000000000-1-1000
χ624444444444-1-1-1-14400004444-4-4-4-1-1-1-1-1-10000000000000011-1-111110000000000-4-1-1-1-100000000000000000000011000
χ634444444444-1-1-1-1440000-4-4-4-4444-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-10000000000-4111100000000000000000000011000
χ644444444444-1-1-1-1440000-4-4-4-4-4-4-4-1-1-1-1-1-10000000000000011-1-11111000000000041111000000000000000000000-1-1000
χ6544-4-4-200-22244-4-4004-44-40000000-200-22204i−4i4i−4i00000-222-20000000000−2i2i−2i2i00000000000000000000000000000000000
χ6644-4-4-200-22244-4-4004-44-40000000-200-2220−4i4i−4i4i00000-222-200000000002i−2i2i−2i00000000000000000000000000000000000
χ6744-4-4-200-22244-4-400-44-440000000-200-22204-4-44000002-2-220000000000-222-200000000000000000000000000000000000
χ6844-4-4-200-22244-4-400-44-440000000-200-2220-444-4000002-2-2200000000002-2-2200000000000000000000000000000000000
χ694-44-444-4-44-4-11-114-400004i−4i4i−4i000-1-111-1100000000000000−i5i5-11−i5i5−i5i500000000000−ii−ii000000000000000000000−55000
χ704-44-444-4-44-4-11-114-400004i−4i4i−4i000-1-111-1100000000000000i5−i5-11i5−i5i5−i500000000000−ii−ii0000000000000000000005−5000
χ714-44-444-4-44-4-11-114-40000−4i4i−4i4i000-1-111-1100000000000000−i5i5-11−i5i5−i5i500000000000i−ii−i0000000000000000000005−5000
χ724-44-444-4-44-4-11-114-40000−4i4i−4i4i000-1-111-1100000000000000i5−i5-11i5−i5i5−i500000000000i−ii−i000000000000000000000−55000
χ734-44-4-24-42-224-44-4-224-4-440000000-24-42-22-4000000004-2-22200-220000-22000000000000000000000000000000000000000
χ744-44-4-24-42-224-44-4-22-444-40000000-24-42-22400000000-422-2-200-2200002-2000000000000000000000000000000000000000
χ754-44-4-2-442-224-44-42-24-4-440000000-2-442-22400000000-4-2-222002-200002-2000000000000000000000000000000000000000
χ764-44-4-2-442-224-44-42-2-444-40000000-2-442-22-400000000422-2-2002-20000-22000000000000000000000000000000000000000
χ774-4-44-20022-24-4-440044-4-40000000-20022-2000004i−4i4i−4i0-22-2200000000000000−2i2i−2i2i0000000000000000000000000000000
χ784-4-44-20022-24-4-440044-4-40000000-20022-200000−4i4i−4i4i0-22-22000000000000002i−2i2i−2i0000000000000000000000000000000
χ794-4-44-20022-24-4-4400-4-4440000000-20022-2000004-4-4402-22-200000000000000-222-20000000000000000000000000000000
χ804-4-44-20022-24-4-4400-4-4440000000-20022-200000-444-402-22-2000000000000002-2-220000000000000000000000000000000
χ8188888-8-8888-2-2-2-2-8-800000000000-222-2-2-2000000000000000022000000000000000000000000000000000000000000000
χ828888-488-4-4-4-2-2-2-2-4-4000000008-4-41-2-211100000000000000-2-211111100000000000000000000000000000000000000000
χ838888-488-4-4-4-2-2-2-2-4-400000000-8441-2-2111000000000000002211-1-1-1-100000000000000000000000000000000000000000
χ848888-4-8-8-4-4-4-2-2-2-244000000000−4i34i31221110000000000000000-1-1i3i3−i3−i300000000000000000000000000000000000000000
χ858888-4-8-8-4-4-4-2-2-2-2440000000004i3−4i31221110000000000000000-1-1−i3−i3i3i300000000000000000000000000000000000000000
χ8688-8-88008-8-8-2-222000000−4i2−4i24i24i2000-200-222000000000000000000000000000000000i2i2−i2−i200000000000000000000000000
χ8788-8-88008-8-8-2-2220000004i24i2−4i2−4i2000-200-222000000000000000000000000000000000−i2−i2i2i200000000000000000000000000
χ888-88-88-88-88-8-22-22-8800000000000-22-22-2200000000000000002-2000000000000000000000000000000000000000000000
χ898-88-8-48-84-44-22-22-44000000000001-22-11-100000000000000−2i52i51-1i5−i5i5−i500000000000000000000000000000000000000000
χ908-88-8-48-84-44-22-22-44000000000001-22-11-1000000000000002i5−2i51-1−i5i5−i5i500000000000000000000000000000000000000000
χ918-88-8-4-884-44-22-224-40000000000012-2-11-10000000000000000-11−151515−1500000000000000000000000000000000000000000
χ928-88-8-4-884-44-22-224-40000000000012-2-11-10000000000000000-1115−15−151500000000000000000000000000000000000000000
χ938-8-88800-8-88-222-200000042−42−4242000-20022-2000000000000000000000000000000000−222−200000000000000000000000000
χ948-8-88800-8-88-222-2000000−424242−42000-20022-20000000000000000000000000000000002−2−2200000000000000000000000000
χ951616-16-16-800-888-4-44400000000000002002-2-2000000000000000000000000000000000000000000000000000000000000000
χ9616-16-1616-80088-8-444-40000000000000200-2-22000000000000000000000000000000000000000000000000000000000000000

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