Finite Group Databasebeta

← Group #14297757

Character table — Group #14297757

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444455556688888888888810101010101012121212121212161616161616202020202020202020202020202020202424242424243030404040404040404060606060606060120120
order122234466622510101012122222446610101010152020303030446666444202020203030303060602288881212242424242424242420202020202044446612121212444888844
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
χ91111111111-1-1111111111111-1-1-1-1-1-11111111111111-1-11111-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1
χ101111111111-1-1111111111111-1-1-1-1-1-11111111111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-111
χ111111111111-1-11111111111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ121111111111-1-11111111111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1111111-1-1
χ131111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-1-1-11111ii−i−i-1-1iiii−i−i−i−i11-1-1-1-1-1-1−ii11−i−iii-111ii−i−i−ii
χ141111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-1-1-11111−i−iii-1-1−i−i−i−iiiii11-1-1-1-1-1-1i−i11ii−i−i-111−i−iiii−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−i-1-1iiii−i−i−i−i-1-1111111−ii11−i−iii1-1-1−i−iiii−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii-1-1−i−i−i−iiiii-1-1111111i−i11ii−i−i1-1-1ii−i−i−ii
χ1722222-2-2222002222-2-22222220000002-2-2222-2-22222-20022220000-2-2000000-2-200000000-2-200002200000000-200000000
χ1822222-2-2222002222-2-22222-2-20000002-2-2222-2-22222200-2-2-2-20000-2-2000000-2-200000000220000-2-200000000200000000
χ1922222-2-2222002222-2-2-2-2-2-2220000002-2-222222-2-2-2-2-20022220000-2-20000002200000000-2-20000-2-200000000200000000
χ2022222-2-2222002222-2-2-2-2-2-2-2-20000002-2-222222-2-2-2-2200-2-2-2-20000-2-200000022000000002200002200000000-200000000
χ212222-122-1-1-1222222-1-1222200-1-12222-122-1-1-122-1-1-1-10000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1000000000
χ222222-122-1-1-1222222-1-1222200-1-12222-122-1-1-122-1-1-1-10000000-1-1-1-1-1-122-2-2-2-2-1-11111111100000000-2-2-1-11111000000000
χ232222-122-1-1-1222222-1-1-2-2-2-200-1-12222-122-1-1-1-2-211110000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii000000002i−2i11−i−iii000000000
χ242222-122-1-1-1222222-1-1-2-2-2-200-1-12222-122-1-1-1-2-211110000000-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i00000000−2i2i11ii−i−i000000000
χ252222-122-1-1-1-2-22222-1-122220011-2-2-2-2-122-1-1-122-1-1-1-100000001111-1-1-2-22222-1-1-1-1-1-1-1-1-1-100000000-2-2111111000000000
χ262222-122-1-1-1-2-22222-1-122220011-2-2-2-2-122-1-1-122-1-1-1-100000001111-1-1-2-2-2-2-2-2-1-111111111000000002211-1-1-1-1000000000
χ272222-122-1-1-1-2-22222-1-1-2-2-2-20011-2-2-2-2-122-1-1-1-2-2111100000001111-1-1222i2i−2i−2i11−i−i−i−iiiii00000000−2i2i-1-1ii−i−i000000000
χ282222-122-1-1-1-2-22222-1-1-2-2-2-20011-2-2-2-2-122-1-1-1-2-2111100000001111-1-122−2i−2i2i2i11iiii−i−i−i−i000000002i−2i-1-1−i−iii000000000
χ2922-2-222-2-2-220022-2-22-222-2-20000000022-2-2-22-2222-2-202i−2i000000002-2000000-2200000000002i2i−2i−2i000000000002i−2i000000
χ3022-2-222-2-2-220022-2-22-222-2-20000000022-2-2-22-2222-2-20−2i2i000000002-2000000-220000000000−2i−2i2i2i00000000000−2i2i000000
χ3122-2-222-2-2-220022-2-22-2-2-2220000000022-2-2-222-2-2-22202i−2i000000002-20000002-200000000002i2i−2i−2i00000000000−2i2i000000
χ3222-2-222-2-2-220022-2-22-2-2-2220000000022-2-2-222-2-2-2220−2i2i000000002-20000002-20000000000−2i−2i2i2i000000000002i−2i000000
χ3322-2-22-22-2-222-222-2-2-2222-2-2002-222-2-22-22-2-222-222-2-2000000022-2-2-222-200002-20000000000000000002-20000000000000
χ3422-2-22-22-2-222-222-2-2-22-2-222002-222-2-22-22-2-22-22-2-222000000022-2-2-22-220000-22000000000000000000-220000000000000
χ3522-2-22-22-2-22-2222-2-2-2222-2-200-22-2-2222-22-2-222-222-2-20000000-2-222-22-2200002-2000000000000000000-220000000000000
χ3622-2-22-22-2-22-2222-2-2-22-2-22200-22-2-2222-22-2-22-22-2-2220000000-2-222-222-20000-220000000000000000002-20000000000000
χ3722-2-2-1-2211-12-222-2-21-122-2-200-1122-2-2-1-2211-12-2-1-1110000000-1-1111-12-20000-1133−3−333−3−30000000000-113−33−3000000000
χ3822-2-2-1-2211-12-222-2-21-122-2-200-1122-2-2-1-2211-12-2-1-1110000000-1-1111-12-20000-11−3−333−3−3330000000000-11−33−33000000000
χ3922-2-2-1-2211-12-222-2-21-1-2-22200-1122-2-2-1-2211-1-2211-1-10000000-1-1111-1-2200001-1−i3−i3i3i3i3i3−i3−i300000000001-1−i3i3i3−i3000000000
χ4022-2-2-1-2211-12-222-2-21-1-2-22200-1122-2-2-1-2211-1-2211-1-10000000-1-1111-1-2200001-1i3i3−i3−i3−i3−i3i3i300000000001-1i3−i3−i3i3000000000
χ4122-2-2-1-2211-1-2222-2-21-122-2-2001-1-2-222-1-2211-12-2-1-111000000011-1-11-1-220000-1133−3−333−3−300000000001-1−33−33000000000
χ4222-2-2-1-2211-1-2222-2-21-122-2-2001-1-2-222-1-2211-12-2-1-111000000011-1-11-1-220000-11−3−333−3−33300000000001-13−33−3000000000
χ4322-2-2-1-2211-1-2222-2-21-1-2-222001-1-2-222-1-2211-1-2211-1-1000000011-1-11-12-200001-1−i3−i3i3i3i3i3−i3−i30000000000-11i3−i3−i3i3000000000
χ4422-2-2-1-2211-1-2222-2-21-1-2-222001-1-2-222-1-2211-1-2211-1-1000000011-1-11-12-200001-1i3i3−i3−i3−i3−i3i3i30000000000-11−i3i3i3−i3000000000
χ452-22-22002-2-2002-22-2002-22-22i−2i0000002002-2-2002-2-220002i2i−2i−2i000000002−22−2002−22−22−22−20000002i−2i00000000000−i2i2−i2i200
χ462-22-22002-2-2002-22-2002-22-22i−2i0000002002-2-2002-2-220002i2i−2i−2i00000000−22−2200−22−22−22−220000002i−2i00000000000i2−i2i2−i200
χ472-22-22002-2-2002-22-2002-22-2−2i2i0000002002-2-2002-2-22000−2i−2i2i2i000000002−22−2002−22−22−22−2000000−2i2i00000000000i2−i2i2−i200
χ482-22-22002-2-2002-22-2002-22-2−2i2i0000002002-2-2002-2-22000−2i−2i2i2i00000000−22−2200−22−22−22−22000000−2i2i00000000000−i2i2−i2i200
χ492-22-22002-2-2002-22-200-22-222i−2i0000002002-2-200-222-20002i2i−2i−2i00000000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i2000000−2i2i00000000000−222−200
χ502-22-22002-2-2002-22-200-22-222i−2i0000002002-2-200-222-20002i2i−2i−2i00000000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i2000000−2i2i000000000002−2−2200
χ512-22-22002-2-2002-22-200-22-22−2i2i0000002002-2-200-222-2000−2i−2i2i2i00000000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i20000002i−2i000000000002−2−2200
χ522-22-22002-2-2002-22-200-22-22−2i2i0000002002-2-200-222-2000−2i−2i2i2i00000000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i20000002i−2i00000000000−222−200
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
χ554444444444-4-4-1-1-1-144000044-4-41111-1-1-1-1-1-10000004-4-4-1-1-1-11111-1-10000000000000000-1-111110000000000000000000
χ564444444444-4-4-1-1-1-1440000-4-4-4-41111-1-1-1-1-1-1000000-44411111111-1-1000000000000000011-1-1-1-10000000000000000000
χ5744444-4-444400-1-1-1-1-4-400004400−55−55-111-1-1-1000000-400-1-1-1-1−55−5511000000000000000011−55−550000000000000000000
χ5844444-4-444400-1-1-1-1-4-4000044005−55−5-111-1-1-1000000-400-1-1-1-15−55−5110000000000000000115−55−50000000000000000000
χ5944444-4-444400-1-1-1-1-4-40000-4-400−55−55-111-1-1-10000004001111−55−55110000000000000000-1-15−55−50000000000000000000
χ6044444-4-444400-1-1-1-1-4-40000-4-4005−55−5-111-1-1-100000040011115−55−5110000000000000000-1-1−55−550000000000000000000
χ614444-2-4-4-2-2-200444422444400000000-2-4-4-2-2-2-4-4-2-2-2-2000000000002200000022000000000000000000000000000000000
χ624444-2-4-4-2-2-200444422-4-4-4-400000000-2-4-4-2-2-24422220000000000022000000-2-2000000000000000000000000000000000
χ6344-4-444-4-4-4400-1-1114-400000000−555−5-1-1111-100000004i−4i−i5i5−i5i5−555−5-110000000000000000−i5i5−i−iii0000000000000000000
χ6444-4-444-4-4-4400-1-1114-400000000−555−5-1-1111-10000000−4i4ii5−i5i5−i5−555−5-110000000000000000i5−i5ii−i−i0000000000000000000
χ6544-4-444-4-4-4400-1-1114-4000000005−5−55-1-1111-100000004i−4ii5−i5i5−i55−5−55-110000000000000000i5−i5−i−iii0000000000000000000
χ6644-4-444-4-4-4400-1-1114-4000000005−5−55-1-1111-10000000−4i4i−i5i5−i5i55−5−55-110000000000000000−i5i5ii−i−i0000000000000000000
χ6744-4-44-44-4-444-4-1-111-440000004-4-1-111-11-111-1000000000−i5i5−i5i5-1-1111-10000000000000000i5−i5−i5i5i5−i50000000000000000000
χ6844-4-44-44-4-444-4-1-111-440000004-4-1-111-11-111-1000000000i5−i5i5−i5-1-1111-10000000000000000−i5i5i5−i5−i5i50000000000000000000
χ6944-4-44-44-4-44-44-1-111-44000000-4411-1-1-11-111-1000000000−i5i5−i5i511-1-11-10000000000000000i5−i5i5−i5−i5i50000000000000000000
χ7044-4-44-44-4-44-44-1-111-44000000-4411-1-1-11-111-1000000000i5−i5i5−i511-1-11-10000000000000000−i5i5−i5i5i5−i50000000000000000000
χ7144-4-4-24-422-20044-4-4-2244-4-400000000-24-422-2-44-2-22200000000000-220000002-2000000000000000000000000000000000
χ7244-4-4-24-422-20044-4-4-22-4-44400000000-24-422-24-422-2-200000000000-22000000-22000000000000000000000000000000000
χ734-44-4-200-222004-44-4004-44-400000000-200-22200-222-200000000000000022−2222−2200−22−22−22−220000000000000000000000000
χ744-44-4-200-222004-44-4004-44-400000000-200-22200-222-2000000000000000−2222−2222002−22−22−22−20000000000000000000000000
χ754-44-4-200-222004-44-400-44-4400000000-200-222002-2-22000000000000000−2i22i22i2−2i200i2−i2i2−i2−i2i2−i2i20000000000000000000000000
χ764-44-4-200-222004-44-400-44-4400000000-200-222002-2-220000000000000002i2−2i2−2i22i200−i2i2−i2i2i2−i2i2−i20000000000000000000000000
χ774-4-44400-44-4004-4-44004-4-4400000000400-44-4004-44-4000000000000000000000000000000000000000000000000000000
χ784-4-44400-44-4004-4-4400-444-400000000400-44-400-44-44000000000000000000000000000000000000000000000000000000
χ794-4-44-2002-22004-4-44004-4-4400000000-2002-2200-22-220000000000000000000006−6−666−6−660000000000000000000000000
χ804-4-44-2002-22004-4-44004-4-4400000000-2002-2200-22-22000000000000000000000−666−6−666−60000000000000000000000000
χ814-4-44-2002-22004-4-4400-444-400000000-2002-22002-22-2000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000
χ824-4-44-2002-22004-4-4400-444-400000000-2002-22002-22-2000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000
χ838888-488-4-4-488-2-2-2-2-4-4000000-4-4-2-2-2-21-2-2111000000000000011111100000000000000000000000000000000000000000
χ848888-488-4-4-4-8-8-2-2-2-2-4-40000004422221-2-21110000000000000-1-1-1-11100000000000000000000000000000000000000000
χ858888-4-8-8-4-4-400-2-2-2-24400000000−2525−252512211100000000000005−55−5-1-100000000000000000000000000000000000000000
χ868888-4-8-8-4-4-400-2-2-2-2440000000025−2525−251221110000000000000−55−55-1-100000000000000000000000000000000000000000
χ8788-8-8-48-844-400-2-222-4400000000−252525−251-22-1-1100000000000005−5−551-100000000000000000000000000000000000000000
χ8888-8-8-48-844-400-2-222-440000000025−25−25251-22-1-110000000000000−555−51-100000000000000000000000000000000000000000
χ8988-8-8-4-8844-48-8-2-2224-4000000-44-2-22212-2-1-11000000000000011-1-1-1100000000000000000000000000000000000000000
χ9088-8-8-4-8844-4-88-2-2224-40000004-422-2-212-2-1-110000000000000-1-111-1100000000000000000000000000000000000000000
χ918-88-88008-8-800-22-220000008i−8i000000-200-222000000000−2i−2i2i2i00000000000000000000000000000000000000000000000
χ928-88-88008-8-800-22-22000000−8i8i000000-200-2220000000002i2i−2i−2i00000000000000000000000000000000000000000000000
χ938-8-88800-88-800-222-200000000000000-2002-22000000000−252525−2500000000000000000000000000000000000000000000000
χ948-8-88800-88-800-222-200000000000000-2002-2200000000025−25−252500000000000000000000000000000000000000000000000
χ9516-1616-16-800-88800-44-44000000000000002002-2-2000000000000000000000000000000000000000000000000000000000000
χ9616-16-1616-8008-8800-444-400000000000000200-22-2000000000000000000000000000000000000000000000000000000000000

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