Finite Group Databasebeta

← Group #14307270

Character table — Group #14307270

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444455556688888888810101010101012161616161616161620202020202020202020202020202020202024242424243030404040404040404848606060606060606060120
order1222344666510101012122222444121215202030303044666642020606060606060444488881212242424242424242442020202044412121212121220204444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-11
χ31111111111111111111111-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-111111-1-1-1-1-1
χ41111111111111111111111-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111111111111111-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ511111111111111111111-1-1111111111111111-111111111111111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111111111111111-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111-1
χ711111111111111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111
χ811111111111111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11
χ91111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111ii−i−iii−i−i-1-1iiii−i−i−i−i11111-1-1-1-1-1ii−i−i11-1ii−i−iii−i−i-1
χ101111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111−i−iii−i−iii-1-1−i−i−i−iiiii11111-1-1-1-1-1−i−iii11-1−i−iii−i−iii-1
χ111111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii-11111-1-1111ii−i−i-1-1-1ii−i−i−i−iii1
χ121111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i-11111-1-1111−i−iii-1-1-1−i−iiiii−i−i1
χ131111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111111111ii−i−iii−i−i-1-1iiii−i−i−i−i-1-1-1-1-111-1-1-1ii−i−i-1-11−i−iii−i−iii1
χ141111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111111111−i−iii−i−iii-1-1−i−i−i−iiiii-1-1-1-1-111-1-1-1−i−iii-1-11ii−i−iii−i−i1
χ151111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii1-1-1-1-111111ii−i−i111−i−iiiii−i−i-1
χ161111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i1-1-1-1-111111−i−iii111ii−i−i−i−iii-1
χ1722222-2-22222222-2-22222220002-2-2222-2-22222-200-2-2000000000000-2-200000000022-2-222000000000-2000000000
χ1822222-2-22222222-2-22222-2-20002-2-2222-2-22222200-2-2000000000000-2-2000000000-2-222-2-20000000002000000000
χ1922222-2-22222222-2-2-2-2-2-2220002-2-222222-2-2-2-2-200-2-20000000000002200000000022-2-2-2-20000000002000000000
χ2022222-2-22222222-2-2-2-2-2-2-2-20002-2-222222-2-2-2-2200-2-200000000000022000000000-2-22222000000000-2000000000
χ212222-122-1-1-12222-1-12222002-1-1-122-1-1-122-1-1-1-1022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100000002-1-1-1-1-1-1000000000000
χ222222-122-1-1-12222-1-12222002-1-1-122-1-1-122-1-1-1-1022-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111111100000002-1-11111000000000000
χ232222-122-1-1-12222-1-1222200-211-122-1-1-122-1-1-1-10-2-2-1-111112222-2-2-2-2-1-1111111110000000-211-1-1-1-1000000000000
χ242222-122-1-1-12222-1-1222200-211-122-1-1-122-1-1-1-10-2-2-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000000-2111111000000000000
χ252222-122-1-1-12222-1-1-2-2-2-2002-1-1-122-1-1-1-2-21111022-1-1-1-1-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii0000000-211−i−iii000000000000
χ262222-122-1-1-12222-1-1-2-2-2-2002-1-1-122-1-1-1-2-21111022-1-1-1-1-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−i0000000-211ii−i−i000000000000
χ272222-122-1-1-12222-1-1-2-2-2-200-211-122-1-1-1-2-211110-2-2-1-111112i2i−2i−2i−2i−2i2i2i11iiii−i−i−i−i00000002-1-1−i−iii000000000000
χ282222-122-1-1-12222-1-1-2-2-2-200-211-122-1-1-1-2-211110-2-2-1-11111−2i−2i2i2i2i2i−2i−2i11−i−i−i−iiiii00000002-1-1ii−i−i000000000000
χ2922-2-222-2-22-222-2-22-22-22-20000022-2-22-22-22-2-220002-200002-22-200002-20000000000000000002-22-2000000000000
χ3022-2-222-2-22-222-2-22-22-22-20000022-2-22-22-22-2-220002-20000-22-2200002-2000000000000000000-22-22000000000000
χ3122-2-222-2-22-222-2-22-2-22-220000022-2-22-2-22-222-20002-200002i−2i−2i2i0000-220000000000000000002i−2i−2i2i000000000000
χ3222-2-222-2-22-222-2-22-2-22-220000022-2-22-2-22-222-20002-20000−2i2i2i−2i0000-22000000000000000000−2i2i2i−2i000000000000
χ3322-2-22-22-22-222-2-2-222-22-2000002-22-22-2-222-2-22000-22000000000000-2200000000000000000000000002i−2i2i−2i00000
χ3422-2-22-22-22-222-2-2-222-22-2000002-22-22-2-222-2-22000-22000000000000-220000000000000000000000000−2i2i−2i2i00000
χ3522-2-22-22-22-222-2-2-22-22-22000002-22-22-22-2-222-2000-220000000000002-200000000000000000000000002-2-2200000
χ3622-2-22-22-22-222-2-2-22-22-22000002-22-22-22-2-222-2000-220000000000002-20000000000000000000000000-222-200000
χ3722-2-2-12-21-1122-2-2-112-22-20003−3-12-21-112-2-111-1000-1133−3−32-22-20000-1133−3−333−3−3000000003−3-11-11000000000000
χ3822-2-2-12-21-1122-2-2-112-22-20003−3-12-21-112-2-111-1000-1133−3−3-22-220000-11−3−333−3−333000000003−31-11-1000000000000
χ3922-2-2-12-21-1122-2-2-112-22-2000−33-12-21-112-2-111-1000-11−3−3332-22-20000-11−3−333−3−33300000000−33-11-11000000000000
χ4022-2-2-12-21-1122-2-2-112-22-2000−33-12-21-112-2-111-1000-11−3−333-22-220000-1133−3−333−3−300000000−331-11-1000000000000
χ4122-2-2-12-21-1122-2-2-11-22-220003−3-12-21-11-221-1-11000-1133−3−32i−2i−2i2i00001-1i3i3−i3−i3−i3−i3i3i300000000−33−iii−i000000000000
χ4222-2-2-12-21-1122-2-2-11-22-220003−3-12-21-11-221-1-11000-1133−3−3−2i2i2i−2i00001-1−i3−i3i3i3i3i3−i3−i300000000−33i−i−ii000000000000
χ4322-2-2-12-21-1122-2-2-11-22-22000−33-12-21-11-221-1-11000-11−3−3332i−2i−2i2i00001-1−i3−i3i3i3i3i3−i3−i3000000003−3−iii−i000000000000
χ4422-2-2-12-21-1122-2-2-11-22-22000−33-12-21-11-221-1-11000-11−3−333−2i2i2i−2i00001-1i3i3−i3−i3−i3−i3i3i3000000003−3i−i−ii000000000000
χ452-2-222002-2-22-2-22002-2-222i−2i0002002-2-20022-2-200000000000002−22−2002−22−22−22−202i−2i002i−2i00000000000000−i2i2−i2i20
χ462-2-222002-2-22-2-22002-2-222i−2i0002002-2-20022-2-20000000000000−22−2200−22−22−22−2202i−2i002i−2i00000000000000i2−i2i2−i20
χ472-2-222002-2-22-2-22002-2-22−2i2i0002002-2-20022-2-200000000000002−22−2002−22−22−22−20−2i2i00−2i2i00000000000000i2−i2i2−i20
χ482-2-222002-2-22-2-22002-2-22−2i2i0002002-2-20022-2-20000000000000−22−2200−22−22−22−220−2i2i00−2i2i00000000000000−i2i2−i2i20
χ492-2-222002-2-22-2-2200-222-22i−2i0002002-2-200-2-2220000000000000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i202i−2i00−2i2i00000000000000−222−20
χ502-2-222002-2-22-2-2200-222-22i−2i0002002-2-200-2-2220000000000000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i202i−2i00−2i2i000000000000002−2−220
χ512-2-222002-2-22-2-2200-222-2−2i2i0002002-2-200-2-2220000000000000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i20−2i2i002i−2i000000000000002−2−220
χ522-2-222002-2-22-2-2200-222-2−2i2i0002002-2-200-2-2220000000000000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i20−2i2i002i−2i00000000000000−222−20
χ534444444444-1-1-1-144000044444-1-1-1-1-1-10000004-1-1-1-1-1-1-1-10000000000000000004-1-1-1-1000000000-1-10000000000
χ544444444444-1-1-1-144000044-4-4-4-1-1-1-1-1-1000000411-1-11111000000000000000000-4-1-1-1-1000000000110000000000
χ554444444444-1-1-1-1440000-4-4444-1-1-1-1-1-1000000-4-1-1-1-1-1-1-1-1000000000000000000-41111000000000110000000000
χ564444444444-1-1-1-1440000-4-4-4-4-4-1-1-1-1-1-1000000-411-1-1111100000000000000000041111000000000-1-10000000000
χ5744444-4-4444-1-1-1-1-4-4000044000-111-1-1-1000000-4−5511−55−550000000000000000000-1-111000000000−550000000000
χ5844444-4-4444-1-1-1-1-4-4000044000-111-1-1-1000000-45−5115−55−50000000000000000000-1-1110000000005−50000000000
χ5944444-4-4444-1-1-1-1-4-40000-4-4000-111-1-1-10000004−5511−55−55000000000000000000011-1-10000000005−50000000000
χ6044444-4-4444-1-1-1-1-4-40000-4-4000-111-1-1-100000045−5115−55−5000000000000000000011-1-1000000000−550000000000
χ614444-2-4-4-2-2-2444422444400000-2-4-4-2-2-2-4-4-2-2-2-200022000000000000220000000000000000000000000000000000
χ624444-2-4-4-2-2-2444422-4-4-4-400000-2-4-4-2-2-244222200022000000000000-2-20000000000000000000000000000000000
χ6344-4-4-2-442-2244-4-42-24-44-400000-2-442-22-44-222-20002-20000000000002-20000000000000000000000000000000000
χ6444-4-4-2-442-2244-4-42-2-44-4400000-2-442-224-42-2-220002-2000000000000-220000000000000000000000000000000000
χ654-44-4400-4-444-44-40044-4-400000400-4-44004-44-400000000000000000000000000000000000000000000000000000
χ664-44-4400-4-444-44-400-4-44400000400-4-4400-44-4400000000000000000000000000000000000000000000000000000
χ674-44-4-20022-24-44-40044-4-400000-20022-200-22-2200000000000000000006−6−666−6−6600000000000000000000000000
χ684-44-4-20022-24-44-40044-4-400000-20022-200-22-220000000000000000000−666−6−666−600000000000000000000000000
χ694-44-4-20022-24-44-400-4-44400000-20022-2002-22-20000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ704-44-4-20022-24-44-400-4-44400000-20022-2002-22-20000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ714-4-44-200-2224-4-44004-4-4400000-200-22200-2-222000000000000022−2222−2200−22−22−22−2200000000000000000000000000
χ724-4-44-200-2224-4-44004-4-4400000-200-22200-2-2220000000000000−2222−2222002−22−22−22−200000000000000000000000000
χ734-4-44-200-2224-4-4400-444-400000-200-2220022-2-20000000000000−2i22i22i2−2i200i2−i2i2−i2−i2i2−i2i200000000000000000000000000
χ744-4-44-200-2224-4-4400-444-400000-200-2220022-2-200000000000002i2−2i2−2i22i200−i2i2−i2i2i2−i2i2−i200000000000000000000000000
χ758888-488-4-4-4-2-2-2-2-4-40000008-4-41-2-21110000000-2-211111100000000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-4000000-8441-2-211100000002211-1-1-1-100000000000000000000000000000000000000000000
χ778888-4-8-8-4-4-4-2-2-2-2440000000001221110000000−2525-1-15−55−500000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-244000000000122111000000025−25-1-1−55−5500000000000000000000000000000000000000000000
χ7988-8-888-8-88-8-2-2228-8000000000-2-222-22000000000-22000000000000000000000000000000000000000000000000
χ8088-8-88-88-88-8-2-222-88000000000-22-22-220000000002-2000000000000000000000000000000000000000000000000
χ8188-8-8-48-84-44-2-222-44000000043−431-22-11-10000000001-1−3−33300000000000000000000000000000000000000000000
χ8288-8-8-48-84-44-2-222-440000000−43431-22-11-10000000001-133−3−300000000000000000000000000000000000000000000
χ8388-8-8-4-884-44-2-2224-400000000012-2-11-1000000000-11−151515−1500000000000000000000000000000000000000000000
χ8488-8-8-4-884-44-2-2224-400000000012-2-11-1000000000-1115−15−151500000000000000000000000000000000000000000000
χ858-88-8800-8-88-22-2200000000000-20022-2000000000000000000000000000000000000−2i52i5000000000000000000000
χ868-88-8800-8-88-22-2200000000000-20022-20000000000000000000000000000000000002i5−2i5000000000000000000000
χ878-8-888008-8-8-222-20000008i−8i000-200-2220000000000000000000000000000000000−2i2i00000000000000000000000
χ888-8-888008-8-8-222-2000000−8i8i000-200-22200000000000000000000000000000000002i−2i00000000000000000000000
χ8916-1616-16-80088-8-44-4400000000000200-2-2200000000000000000000000000000000000000000000000000000000000
χ9016-16-1616-800-888-444-4000000000002002-2-200000000000000000000000000000000000000000000000000000000000

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