Finite Group Databasebeta

← Group #14298565

Character table — Group #14298565

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222444444444444444555588888888888888888888101010101010101012121212202020202020202424242424242424404040404040404040404040606060606060606060606060
order12222234466645661010101010101012121212444415202020203030303030303060606060606060602244121212124444266661212202020202020202088882424242424242424444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ7111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111iiii−i−i−i−i
χ91111-1-1111111-11-1-11-1-1-1-11111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1111111-11-1-11-1-1-1-11111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111
χ111111-1-1111111-11-1-11-1-1-1-11111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-111-1-111
χ121111-1-1111111-11-1-11-1-1-1-11111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1111111-11-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111ii−i−i−i−iii
χ141111-1-1111111-11-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−i−iiiii−i−i
χ151111-1-1111111-11-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−i−iiiii−i−i
χ161111-1-1111111-11-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ172222222-2-2222-22222222222-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222220000-2-2-2-2-22200000000000000000000000000000000
χ182222222-2-2222-22222222222-2-2-2-2-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2000022222-2-200000000000000000000000000000000
χ19222222-122-1-1-122-1-12222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ20222222-122-1-1-122-1-12222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ21222222-122-1-1-122-1-12222222-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2111111000000002i2i−2i−2i−i−i−i−iiiii000000000000
χ22222222-122-1-1-122-1-12222222-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-211111100000000−2i−2i2i2iiiii−i−i−i−i000000000000
χ23222222-1-2-2-1-1-1-22-1-1222222211112222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-10000-21111-1-1000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ24222222-1-2-2-1-1-1-22-1-1222222211112222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-10000-21111-1-1000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ25222222-1-2-2-1-1-1-22-1-122222221111-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2111100002-1-1-1-1110000000000003−33−3−33−33000000000000
χ26222222-1-2-2-1-1-1-22-1-122222221111-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2111100002-1-1-1-111000000000000−33−333−33−3000000000000
χ272222-2-22-2-222222-2-22-2-2-2-222-2-22222222-2-22222-2-2-2-22-2-2-2-22222-2-2-2-2222200002-2-222-2-200000000000000000000000000000000
χ282222-2-22-2-222222-2-22-2-2-2-222-2-222-2-2-2-22-2-22222-2-2-2-22-2-2-2-222222222-2-2-2-20000-222-2-22200000000000000000000000000000000
χ292222-2-2-122-1-1-1-22112-2-2-2-222-1-1112222-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-10000-2-1-11111000000002-22-2-1-111-1-111000000000000
χ302222-2-2-122-1-1-1-22112-2-2-2-222-1-1112222-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-10000-2-1-1111100000000-22-2211-1-111-1-1000000000000
χ312222-2-2-122-1-1-1-22112-2-2-2-222-1-111-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-22211110000211-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i000000000000
χ322222-2-2-122-1-1-1-22112-2-2-2-222-1-111-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-22211110000211-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii000000000000
χ332222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-10000211-1-111000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ342222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-10000211-1-111000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ352222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1222211110000-2-1-111-1-10000000000003−3−33−333−3000000000000
χ362222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1222211110000-2-1-111-1-1000000000000−333−33−3−33000000000000
χ3722-2-20022-2-2-220200-200002-22-20022-2-222-200-2-20000222-2-200002-20022-2-2002i−2i02-2000000002i2i−2i−2i000000000000002i−2i00000000
χ3822-2-20022-2-2-220200-200002-22-20022-2-222-200-2-20000222-2-200002-20022-2-200−2i2i02-200000000−2i−2i2i2i00000000000000−2i2i00000000
χ3922-2-20022-2-2-220200-200002-22-200-2-22222-200-2-20000222-2-20000-2200-2-222002i−2i0-22000000002i2i−2i−2i00000000000000−2i2i00000000
χ4022-2-20022-2-2-220200-200002-22-200-2-22222-200-2-20000222-2-20000-2200-2-22200−2i2i0-2200000000−2i−2i2i2i000000000000002i−2i00000000
χ4122-2-2002-22-2-220200-200002-2-220022-2-22-2200-2-200002-2-2220000-220022-2-22i−2i000-2200002i2i−2i−2i00000000000000002i−2i0000000000
χ4222-2-2002-22-2-220200-200002-2-220022-2-22-2200-2-200002-2-2220000-220022-2-2−2i2i000-220000−2i−2i2i2i0000000000000000−2i2i0000000000
χ4322-2-2002-22-2-220200-200002-2-2200-2-2222-2200-2-200002-2-22200002-200-2-2222i−2i0002-200002i2i−2i−2i0000000000000000−2i2i0000000000
χ4422-2-2002-22-2-220200-200002-2-2200-2-2222-2200-2-200002-2-22200002-200-2-222−2i2i0002-20000−2i−2i2i2i00000000000000002i−2i0000000000
χ452-22-22-22002-2-2022-2-222-2-2-2200002i−2i2i−2i200002-222-2-2-200000000002i−2i2i−2i2i−2i0000000002i−2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ462-22-22-22002-2-2022-2-222-2-2-2200002i−2i2i−2i200002-222-2-2-200000000002i−2i2i−2i2i−2i0000000002i−2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ472-22-22-22002-2-2022-2-222-2-2-220000−2i2i−2i2i200002-222-2-2-20000000000−2i2i−2i2i−2i2i000000000−2i2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ482-22-22-22002-2-2022-2-222-2-2-220000−2i2i−2i2i200002-222-2-2-20000000000−2i2i−2i2i−2i2i000000000−2i2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ492-22-2-222002-2-202-22-2-2-222-2200002i−2i2i−2i200002-2-2-222-20000000000−2i2i2i−2i2i−2i000000000−2i2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i
χ502-22-2-222002-2-202-22-2-2-222-2200002i−2i2i−2i200002-2-2-222-20000000000−2i2i2i−2i2i−2i000000000−2i2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i
χ512-22-2-222002-2-202-22-2-2-222-220000−2i2i−2i2i200002-2-2-222-200000000002i−2i−2i2i−2i2i0000000002i−2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i
χ522-22-2-222002-2-202-22-2-2-222-220000−2i2i−2i2i200002-2-2-222-200000000002i−2i−2i2i−2i2i0000000002i−2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i
χ534444444444444-144-1-1-1-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044440000000-1-1-1-1-1-1-1-1000000000000000000000000
χ544444444444444-144-1-1-1-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-4000000011111111000000000000000000000000
χ554444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-1111111110000000000000000000−55−55−55−55000000000000000000000000
χ564444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-11111111100000000000000000005−55−55−55−5000000000000000000000000
χ574444-4-4444444-4-1-4-4-11111-1-144-4-40000-1-1-111-1-11111-1-1-1-1-111110000000044-4-40000000-1-1-1-11111000000000000000000000000
χ584444-4-4444444-4-1-4-4-11111-1-144-4-40000-1-1-111-1-11111-1-1-1-1-1111100000000-4-44400000001111-1-1-1-1000000000000000000000000
χ594444-4-44-4-44444-1-4-4-11111-1-1-4-4440000-111-1-1-1-11111-11111-1-1-1-10000000000000000000−55−555−55−5000000000000000000000000
χ604444-4-44-4-44444-1-4-4-11111-1-1-4-4440000-111-1-1-1-11111-11111-1-1-1-100000000000000000005−55−5−55−55000000000000000000000000
χ6144-4-40044-4-4-440-1001−55−55-114-4000000-1-11−5511−55−55-1-1-111−5−55500000000004i−4i0000000−i5i5i5−i5−i−iii000000000000000000000000
χ6244-4-40044-4-4-440-1001−55−55-114-4000000-1-11−5511−55−55-1-1-111−5−5550000000000−4i4i0000000i5−i5−i5i5ii−i−i000000000000000000000000
χ6344-4-40044-4-4-440-10015−55−5-114-4000000-1-115−5115−55−5-1-1-11155−5−500000000004i−4i0000000i5−i5−i5i5−i−iii000000000000000000000000
χ6444-4-40044-4-4-440-10015−55−5-114-4000000-1-115−5115−55−5-1-1-11155−5−50000000000−4i4i0000000−i5i5i5−i5ii−i−i000000000000000000000000
χ6544-4-4004-44-4-440-1001−55−55-11-44000000-11-15−511−55−55-111-1-155−5−5000000004i−4i000000000−i−iii−i5i5i5−i5000000000000000000000000
χ6644-4-4004-44-4-440-1001−55−55-11-44000000-11-15−511−55−55-111-1-155−5−500000000−4i4i000000000ii−i−ii5−i5−i5i5000000000000000000000000
χ6744-4-4004-44-4-440-10015−55−5-11-44000000-11-1−55115−55−5-111-1-1−5−555000000004i−4i000000000−i−iiii5−i5−i5i5000000000000000000000000
χ6844-4-4004-44-4-440-10015−55−5-11-44000000-11-1−55115−55−5-111-1-1−5−55500000000−4i4i000000000ii−i−i−i5i5i5−i5000000000000000000000000
χ6944-4-400-24-422-20400-400004-4-220044-4-4-24-400220000-2-2-22200004-400-2-22200000-22000000000000000000000000000000000000
χ7044-4-400-24-422-20400-400004-4-2200-4-444-24-400220000-2-2-2220000-440022-2-2000002-2000000000000000000000000000000000000
χ7144-4-400-2-4422-20400-400004-42-20044-4-4-2-4400220000-222-2-20000-4400-2-222000002-2000000000000000000000000000000000000
χ7244-4-400-2-4422-20400-400004-42-200-4-444-2-4400220000-222-2-200004-40022-2-200000-22000000000000000000000000000000000000
χ734-44-44-4-200-22204-22-444-4-4-4400004i−4i4i−4i-20000-22-2-222200000000004i−4i−2i2i−2i2i000000000−2i2i00000000000000000000000000000000
χ744-44-44-4-200-22204-22-444-4-4-440000−4i4i−4i4i-20000-22-2-22220000000000−4i4i2i−2i2i−2i0000000002i−2i00000000000000000000000000000000
χ754-44-4-44-200-222042-2-4-4-444-4400004i−4i4i−4i-20000-2222-2-220000000000−4i4i−2i2i−2i2i0000000002i−2i00000000000000000000000000000000
χ764-44-4-44-200-222042-2-4-4-444-440000−4i4i−4i4i-20000-2222-2-2200000000004i−4i2i−2i2i−2i000000000−2i2i00000000000000000000000000000000
χ774-4-4400400-44-4040040000-4-400004i−4i−4i4i40000-440000-40000000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ784-4-4400400-44-4040040000-4-40000−4i4i4i−4i40000-440000-4000000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ794-4-4400-2002-22040040000-4-40023−234i−4i−4i4i-200002-200002000023−2323−230000−2i2i2i−2i0000000−2i32i30000000000000000000000000000000000
χ804-4-4400-2002-22040040000-4-40023−23−4i4i4i−4i-200002-200002000023−2323−2300002i−2i−2i2i00000002i3−2i30000000000000000000000000000000000
χ814-4-4400-2002-22040040000-4-400−23234i−4i−4i4i-200002-2000020000−2323−23230000−2i2i2i−2i00000002i3−2i30000000000000000000000000000000000
χ824-4-4400-2002-22040040000-4-400−2323−4i4i4i−4i-200002-2000020000−2323−232300002i−2i−2i2i0000000−2i32i30000000000000000000000000000000000
χ83888888-488-4-4-48-2-4-4-2-2-2-2-2-2-2-4-4-4-400001-2-2-2-2111111111111111000000000000000000000000000000000000000000000000000
χ84888888-4-8-8-4-4-4-8-2-4-4-2-2-2-2-2-2-244440000122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000
χ858888-8-8-488-4-4-4-8-244-22222-2-2-4-44400001-2-22211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000
χ868888-8-8-4-8-8-4-4-48-244-22222-2-244-4-40000122-2-211-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000000000000
χ8788-8-800-48-844-40-2002−2525−2525-22-440000001-22−2525-1-15−55−5111-1-155−5−5000000000000000000000000000000000000000000000000000
χ8888-8-800-48-844-40-200225−2525−25-22-440000001-2225−25-1-1−55−55111-1-1−5−555000000000000000000000000000000000000000000000000000
χ8988-8-800-4-8844-40-2002−2525−2525-224-400000012-225−25-1-15−55−51-1-111−5−555000000000000000000000000000000000000000000000000000
χ9088-8-800-4-8844-40-200225−2525−25-224-400000012-2−2525-1-1−55−551-1-11155−5−5000000000000000000000000000000000000000000000000000
χ918-88-88-88008-8-80-28-82-2-2222-200000000-20000-22-2-222200000000000000000000000000000000000000000000000000000000000
χ928-88-88-8-400-4440-2-442-2-2222-200000000100001-111-1-1-1−1515−1515−151515−15000000000000000000000000000000000000000000000000000
χ938-88-88-8-400-4440-2-442-2-2222-200000000100001-111-1-1-115−1515−1515−15−1515000000000000000000000000000000000000000000000000000
χ948-88-8-888008-8-80-2-88222-2-22-200000000-20000-2222-2-2200000000000000000000000000000000000000000000000000000000000
χ958-88-8-88-400-4440-24-4222-2-22-200000000100001-1-1-111-1−1515−151515−15−1515000000000000000000000000000000000000000000000000000
χ968-88-8-88-400-4440-24-4222-2-22-200000000100001-1-1-111-115−1515−15−151515−15000000000000000000000000000000000000000000000000000
χ978-8-8800800-88-80-200-2−252525−252200000000-200002-2−252525−25200000000000000000000000000000000000000000000000000000000000
χ988-8-8800800-88-80-200-225−25−25252200000000-200002-225−25−2525200000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4004-440-200-2−252525−25220043−43000010000-115−5−55-1−151515−15−33−33000000000000000000000000000000000000000000000000000
χ1008-8-8800-4004-440-200-2−252525−252200−4343000010000-115−5−55-115−15−15153−33−3000000000000000000000000000000000000000000000000000
χ1018-8-8800-4004-440-200-225−25−2525220043−43000010000-11−555−5-115−15−1515−33−33000000000000000000000000000000000000000000000000000
χ1028-8-8800-4004-440-200-225−25−25252200−4343000010000-11−555−5-1−151515−153−33−3000000000000000000000000000000000000000000000000000

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