Finite Group Databasebeta

← Group #14298454

Character table — Group #14298454

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444455556688888888888810101010101012121212121212161616161616202020202020202020202020202020202424242424243030404040404040404060606060606060120120
order1222344666445101010121222222212121520202020202030303044666644410101010606060606060448888121224242424242424242020202020202244121212121212444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111-1-1ii−i−i-1-1iiii−i−i−i−i111111-1-1i−i-1-1ii−i−i-1-1-1ii−i−ii−i
χ6111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111-1-1−i−iii-1-1−i−i−i−iiiii111111-1-1−ii-1-1−i−iii-1-1-1−i−iii−ii
χ7111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1-111i−i-1-1ii−i−i111−i−iii−ii
χ8111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1-111−ii-1-1−i−iii111ii−i−ii−i
χ91111111111-1-1111111111111-1-1111-1-1-1-11111111111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1
χ101111111111-1-1111111111111-1-1111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-111
χ111111111111-1-11111111111-1-1-1-1111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ121111111111-1-11111111111-1-1-1-1111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1111111-1-1
χ131111111111-1-1111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i11-1-1-1-1-1-1−ii11−i−iii-111ii−i−i−ii
χ141111111111-1-1111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-111−i−iii-1-1−i−i−i−iiiii11-1-1-1-1-1-1i−i11ii−i−i-111−i−iiii−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-1-1111111−ii11−i−iii1-1-1−i−iiii−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111−i−iii-1-1−i−i−i−iiiii-1-1111111i−i11ii−i−i1-1-1ii−i−i−ii
χ1722222-2-2222002222-2-2222222002-2-20000222-2-22222-2002222-2-20000000000-2-200000000-2-200002200000000-200000000
χ1822222-2-2222002222-2-22222-2-2002-2-20000222-2-22222200-2-2-2-2-2-20000000000-2-200000000220000-2-200000000200000000
χ1922222-2-2222002222-2-2-2-2-2-222002-2-2000022222-2-2-2-2-2002222-2-200000000002200000000-2-20000-2-200000000200000000
χ2022222-2-2222002222-2-2-2-2-2-2-2-2002-2-2000022222-2-2-2-2200-2-2-2-2-2-2000000000022000000002200002200000000-200000000
χ212222-122-1-1-1222222-1-1222200-1-1-1222222-1-1-122-1-1-1-10000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1000000000
χ222222-122-1-1-1222222-1-1222200-1-1-1222222-1-1-122-1-1-1-10000000-1-1-1-1-1-122-2-2-2-2-1-11111111100000000-2-2-1-11111000000000
χ232222-122-1-1-1222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-211110000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii000000002i−2i11−i−iii000000000
χ242222-122-1-1-1222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-211110000000-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i00000000−2i2i11ii−i−i000000000
χ252222-122-1-1-1-2-22222-1-122220011-122-2-2-2-2-1-1-122-1-1-1-10000000-1-11111-2-22222-1-1-1-1-1-1-1-1-1-100000000-2-2111111000000000
χ262222-122-1-1-1-2-22222-1-122220011-122-2-2-2-2-1-1-122-1-1-1-10000000-1-11111-2-2-2-2-2-2-1-111111111000000002211-1-1-1-1000000000
χ272222-122-1-1-1-2-22222-1-1-2-2-2-20011-122-2-2-2-2-1-1-1-2-211110000000-1-11111222i2i−2i−2i11−i−i−i−iiiii00000000−2i2i-1-1ii−i−i000000000
χ282222-122-1-1-1-2-22222-1-1-2-2-2-20011-122-2-2-2-2-1-1-1-2-211110000000-1-1111122−2i−2i2i2i11iiii−i−i−i−i000000002i−2i-1-1−i−iii000000000
χ292-22-222-2-22-2002-22-22-22-22-2000022-20000-22-22-22-2-2202i−2i00002-20000000000-2200000000002i2i−2i−2i000000000002i−2i000000
χ302-22-222-2-22-2002-22-22-22-22-2000022-20000-22-22-22-2-220−2i2i00002-20000000000-220000000000−2i−2i2i2i00000000000−2i2i000000
χ312-22-222-2-22-2002-22-22-2-22-22000022-20000-22-2-22-222-202i−2i00002-200000000002-200000000002i2i−2i−2i00000000000−2i2i000000
χ322-22-222-2-22-2002-22-22-2-22-22000022-20000-22-2-22-222-20−2i2i00002-200000000002-20000000000−2i−2i2i2i000000000002i−2i000000
χ332-22-22-22-22-22i−2i2-22-2-222-22-2002i−2i2-222i2i−2i−2i-22-2-222-2-220000000-222i2i−2i−2i2i−2i00002-20000000000000000002i−2i0000000000000
χ342-22-22-22-22-22i−2i2-22-2-22-22-22002i−2i2-222i2i−2i−2i-22-22-2-222-20000000-222i2i−2i−2i−2i2i0000-22000000000000000000−2i2i0000000000000
χ352-22-22-22-22-2−2i2i2-22-2-222-22-200−2i2i2-22−2i−2i2i2i-22-2-222-2-220000000-22−2i−2i2i2i−2i2i00002-2000000000000000000−2i2i0000000000000
χ362-22-22-22-22-2−2i2i2-22-2-22-22-2200−2i2i2-22−2i−2i2i2i-22-22-2-222-20000000-22−2i−2i2i2i2i−2i0000-220000000000000000002i−2i0000000000000
χ372-22-2-1-221-112i−2i2-22-21-12-22-200−ii-1-222i2i−2i−2i1-11-22-111-100000001-1−i−iii2i−2i0000-1133−3−333−3−30000000000−ii−i3i3−i3i3000000000
χ382-22-2-1-221-112i−2i2-22-21-12-22-200−ii-1-222i2i−2i−2i1-11-22-111-100000001-1−i−iii2i−2i0000-11−3−333−3−3330000000000−iii3−i3i3−i3000000000
χ392-22-2-1-221-112i−2i2-22-21-1-22-2200−ii-1-222i2i−2i−2i1-112-21-1-1100000001-1−i−iii−2i2i00001-1−i3−i3i3i3i3i3−i3−i30000000000i−i−333−3000000000
χ402-22-2-1-221-112i−2i2-22-21-1-22-2200−ii-1-222i2i−2i−2i1-112-21-1-1100000001-1−i−iii−2i2i00001-1i3i3−i3−i3−i3−i3i3i30000000000i−i3−3−33000000000
χ412-22-2-1-221-11−2i2i2-22-21-12-22-200i−i-1-22−2i−2i2i2i1-11-22-111-100000001-1ii−i−i−2i2i0000-1133−3−333−3−30000000000i−ii3−i3i3−i3000000000
χ422-22-2-1-221-11−2i2i2-22-21-12-22-200i−i-1-22−2i−2i2i2i1-11-22-111-100000001-1ii−i−i−2i2i0000-11−3−333−3−3330000000000i−i−i3i3−i3i3000000000
χ432-22-2-1-221-11−2i2i2-22-21-1-22-2200i−i-1-22−2i−2i2i2i1-112-21-1-1100000001-1ii−i−i2i−2i00001-1−i3−i3i3i3i3i3−i3−i30000000000−ii3−3−33000000000
χ442-22-2-1-221-11−2i2i2-22-21-1-22-2200i−i-1-22−2i−2i2i2i1-112-21-1-1100000001-1ii−i−i2i−2i00001-1i3i3−i3−i3−i3−i3i3i30000000000−ii−333−3000000000
χ452-2-22200-2-22002-2-220022-2-22-2002000000-2-220022-2-200022-2-200000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000002-200000000000−i2i2−i2i200
χ462-2-22200-2-22002-2-220022-2-22-2002000000-2-220022-2-200022-2-200000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000002-200000000000i2−i2i2−i200
χ472-2-22200-2-22002-2-220022-2-2-22002000000-2-220022-2-2000-2-22200000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000-2200000000000i2−i2i2−i200
χ482-2-22200-2-22002-2-220022-2-2-22002000000-2-220022-2-2000-2-22200000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000-2200000000000−i2i2−i2i200
χ492-2-22200-2-22002-2-2200-2-2222-2002000000-2-2200-2-22200022-2-2000000002−2−22002−22−2−22−22000000-22000000000002−2−2200
χ502-2-22200-2-22002-2-2200-2-2222-2002000000-2-2200-2-22200022-2-200000000−222−200−22−222−22−2000000-2200000000000−222−200
χ512-2-22200-2-22002-2-2200-2-222-22002000000-2-2200-2-222000-2-222000000002−2−22002−22−2−22−220000002-200000000000−222−200
χ522-2-22200-2-22002-2-2200-2-222-22002000000-2-2200-2-222000-2-22200000000−222−200−22−222−22−20000002-2000000000002−2−2200
χ53444444444444-1-1-1-14400004444-1-1-1-1-1-1-1-1-1-1000000444-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-10000000000000000000
χ54444444444444-1-1-1-1440000-4-444-1-1-1-1-1-1-1-1-1-1000000-4-4-41111-1-1-1-1-1-100000000000000001111110000000000000000000
χ554444444444-4-4-1-1-1-144000044-4-4-1-1-11111-1-1-10000004-4-4-1-1-1-1-1-111110000000000000000-1-111110000000000000000000
χ564444444444-4-4-1-1-1-1440000-4-4-4-4-1-1-11111-1-1-1000000-4441111-1-11111000000000000000011-1-1-1-10000000000000000000
χ5744444-4-444400-1-1-1-1-4-400004400-111−55−55-1-1-1000000-400-1-1-1-111−55−55000000000000000011−55−550000000000000000000
χ5844444-4-444400-1-1-1-1-4-400004400-1115−55−5-1-1-1000000-400-1-1-1-1115−55−50000000000000000115−55−50000000000000000000
χ5944444-4-444400-1-1-1-1-4-40000-4-400-111−55−55-1-1-1000000400111111−55−550000000000000000-1-15−55−50000000000000000000
χ6044444-4-444400-1-1-1-1-4-40000-4-400-1115−55−5-1-1-10000004001111115−55−50000000000000000-1-1−55−550000000000000000000
χ614444-2-4-4-2-2-20044442244440000-2-4-40000-2-2-2-4-4-2-2-2-2000000022000000000022000000000000000000000000000000000
χ624444-2-4-4-2-2-200444422-4-4-4-40000-2-4-40000-2-2-24422220000000220000000000-2-2000000000000000000000000000000000
χ6344-4-44004-4-40044-4-4004-4-44000040000004-4-4004-44-4000000000000000000000000000000000000000000000000000000
χ6444-4-44004-4-40044-4-400-444-4000040000004-4-400-44-44000000000000000000000000000000000000000000000000000000
χ6544-4-4-200-2220044-4-4004-4-440000-2000000-22200-22-22000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000000
χ6644-4-4-200-2220044-4-4004-4-440000-2000000-22200-22-22000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000000
χ6744-4-4-200-2220044-4-400-444-40000-2000000-222002-22-20000000000000000000006−6−66−666−60000000000000000000000000
χ6844-4-4-200-2220044-4-400-444-40000-2000000-222002-22-2000000000000000000000−666−66−6−660000000000000000000000000
χ694-44-444-4-44-400-11-114-400000000-1-11−i5i5i5−i51-1100000004i−4i−55−55-11−i5i5i5−i50000000000000000−55−i−iii0000000000000000000
χ704-44-444-4-44-400-11-114-400000000-1-11−i5i5i5−i51-110000000−4i4i5−55−5-11−i5i5i5−i500000000000000005−5ii−i−i0000000000000000000
χ714-44-444-4-44-400-11-114-400000000-1-11i5−i5−i5i51-1100000004i−4i5−55−5-11i5−i5−i5i500000000000000005−5−i−iii0000000000000000000
χ724-44-444-4-44-400-11-114-400000000-1-11i5−i5−i5i51-110000000−4i4i−55−55-11i5−i5−i5i50000000000000000−55ii−i−i0000000000000000000
χ734-44-44-44-44-44i−4i-11-11-440000004i−4i-11-1−i−iii1-11000000000−55−551-1−i−iii00000000000000005−5−i5i5i5−i50000000000000000000
χ744-44-44-44-44-44i−4i-11-11-440000004i−4i-11-1−i−iii1-110000000005−55−51-1−i−iii0000000000000000−55i5−i5−i5i50000000000000000000
χ754-44-44-44-44-4−4i4i-11-11-44000000−4i4i-11-1ii−i−i1-11000000000−55−551-1ii−i−i00000000000000005−5i5−i5−i5i50000000000000000000
χ764-44-44-44-44-4−4i4i-11-11-44000000−4i4i-11-1ii−i−i1-110000000005−55−51-1ii−i−i0000000000000000−55−i5i5i5−i50000000000000000000
χ774-44-4-24-42-22004-44-4-224-44-40000-24-400002-224-4-222-20000000-2200000000002-2000000000000000000000000000000000
χ784-44-4-24-42-22004-44-4-22-44-440000-24-400002-22-442-2-220000000-220000000000-22000000000000000000000000000000000
χ794-4-44-20022-2004-4-440044-4-40000-200000022-200-2-222000000000000000−2i22i2−2i22i200i2−i2i2−i2i2−i2i2−i20000000000000000000000000
χ804-4-44-20022-2004-4-440044-4-40000-200000022-200-2-2220000000000000002i2−2i22i2−2i200−i2i2−i2i2−i2i2−i2i20000000000000000000000000
χ814-4-44-20022-2004-4-4400-4-4440000-200000022-20022-2-200000000000000022−22−222200−22−222−22−20000000000000000000000000
χ824-4-44-20022-2004-4-4400-4-4440000-200000022-20022-2-2000000000000000−222222−22002−22−2−22−220000000000000000000000000
χ838888-488-4-4-488-2-2-2-2-4-4000000-4-41-2-2-2-2-2-2111000000000000011111100000000000000000000000000000000000000000
χ848888-488-4-4-4-8-8-2-2-2-2-4-4000000441-2-22222111000000000000011-1-1-1-100000000000000000000000000000000000000000
χ858888-4-8-8-4-4-400-2-2-2-24400000000122−2525−25251110000000000000-1-15−55−500000000000000000000000000000000000000000
χ868888-4-8-8-4-4-400-2-2-2-2440000000012225−2525−251110000000000000-1-1−55−5500000000000000000000000000000000000000000
χ8788-8-88008-8-800-2-2220000000000-2000000-222000000000−252525−2500000000000000000000000000000000000000000000000
χ8888-8-88008-8-800-2-2220000000000-2000000-22200000000025−25−252500000000000000000000000000000000000000000000000
χ898-88-8-48-84-4400-22-22-44000000001-22−2i52i52i5−2i5-11-100000000000001-1i5−i5−i5i500000000000000000000000000000000000000000
χ908-88-8-48-84-4400-22-22-44000000001-222i5−2i5−2i52i5-11-100000000000001-1−i5i5i5−i500000000000000000000000000000000000000000
χ918-88-8-4-884-448i−8i-22-224-4000000−4i4i12-2−2i−2i2i2i-11-10000000000000-11ii−i−i00000000000000000000000000000000000000000
χ928-88-8-4-884-44−8i8i-22-224-40000004i−4i12-22i2i−2i−2i-11-10000000000000-11−i−iii00000000000000000000000000000000000000000
χ938-8-88800-8-8800-222-20000008-800-200000022-2000000000-2-22200000000000000000000000000000000000000000000000
χ948-8-88800-8-8800-222-2000000-8800-200000022-200000000022-2-200000000000000000000000000000000000000000000000
χ951616-16-16-800-88800-4-444000000000020000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9616-16-1616-80088-800-444-400000000002000000-2-22000000000000000000000000000000000000000000000000000000000000

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