Finite Group Databasebeta

← Group #14282200

Character table — Group #14282200

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222444444444444444555588888888888888888888101010101010101012121212202020202020202424242424242424404040404040404040404040606060606060606060606060
order122234444666256610101012121212202020204444101015202030303030303030606060606060606044441212121244444121212121212202020202020202088882424242424242424224488888888
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
χ91111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ101111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111
χ111111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-111-1-111
χ121111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1
χ131111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111ii−i−i−i−iii
χ141111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−i−iiiii−i−i
χ151111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−i−iiiii−i−i
χ161111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ1722222-2-222222-22-2-2222-2-22222222222-2-22-2-222-2-2-2-22-2-2-2-2222222-2-222220000-2-2-222-2-200000000000000000000000000000000
χ1822222-2-222222-22-2-2222-2-2222222-2-2-2-2-2-22-2-222-2-2-2-22-2-2-2-22222-2-222-2-2-2-20000222-2-22200000000000000000000000000000000
χ1922222-2-2-2-22222222222-2-2-2-2-2-2-2-22222222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2222200002-2-2-2-22200000000000000000000000000000000
χ2022222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-20000-22222-2-200000000000000000000000000000000
χ212222-12222-1-1-122-1-1222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ222222-12222-1-1-122-1-1222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ232222-12222-1-1-122-1-1222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2111111000000002i2i−2i−2i−i−i−i−iiiii000000000000
χ242222-12222-1-1-122-1-1222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-211111100000000−2i−2i2i2iiiii−i−i−i−i000000000000
χ252222-122-2-2-1-1-1-2211222-1-111-2-2-2-22222-2-2-122-1-11111-1-1-1-1-11111-2-222-1-1-1-10000-2-1-11111000000002-22-2-1-111-1-111000000000000
χ262222-122-2-2-1-1-1-2211222-1-111-2-2-2-22222-2-2-122-1-11111-1-1-1-1-11111-2-222-1-1-1-10000-2-1-1111100000000-22-2211-1-111-1-1000000000000
χ272222-122-2-2-1-1-1-2211222-1-111-2-2-2-2-2-2-2-2-2-2-122-1-11111-1-1-1-1-1111122-2-211110000211-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i000000000000
χ282222-122-2-2-1-1-1-2211222-1-111-2-2-2-2-2-2-2-2-2-2-122-1-11111-1-1-1-1-1111122-2-211110000211-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii000000000000
χ292222-1-2-222-1-1-1-221122211-1-122222222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-2-1-1-1-10000-211-1-111000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ302222-1-2-222-1-1-1-221122211-1-122222222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-2-1-1-1-10000-211-1-111000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ312222-1-2-222-1-1-1-221122211-1-12222-2-2-2-2-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222111100002-1-111-1-10000000000003−33−3−33−33000000000000
χ322222-1-2-222-1-1-1-221122211-1-12222-2-2-2-2-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222111100002-1-111-1-1000000000000−33−333−33−3000000000000
χ332222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1000021111-1-1000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ342222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1000021111-1-1000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ352222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111222211110000-2-1-1-1-1110000000000003−3−33−333−3000000000000
χ362222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111222211110000-2-1-1-1-111000000000000−333−33−3−33000000000000
χ3722-2-22002i−2i-22-20200-22-2002i−2i2i2i−2i−2i22-2-2002002-20000-200002i2i−2i−2i2i−2i0022-2-200000002i−2i000000000000000000000000002−2−i2i22−2−i2i2
χ3822-2-22002i−2i-22-20200-22-2002i−2i2i2i−2i−2i22-2-2002002-20000-200002i2i−2i−2i2i−2i0022-2-200000002i−2i00000000000000000000000000−22i2−i2−22i2−i2
χ3922-2-22002i−2i-22-20200-22-2002i−2i2i2i−2i−2i-2-222002002-20000-200002i2i−2i−2i−2i2i00-2-2220000000−2i2i00000000000000000000000000−i2i2−22i2−i22−2
χ4022-2-22002i−2i-22-20200-22-2002i−2i2i2i−2i−2i-2-222002002-20000-200002i2i−2i−2i−2i2i00-2-2220000000−2i2i00000000000000000000000000i2−i22−2−i2i2−22
χ4122-2-2200−2i2i-22-20200-22-200−2i2i−2i−2i2i2i22-2-2002002-20000-20000−2i−2i2i2i−2i2i0022-2-20000000−2i2i000000000000000000000000002−2i2−i22−2i2−i2
χ4222-2-2200−2i2i-22-20200-22-200−2i2i−2i−2i2i2i22-2-2002002-20000-20000−2i−2i2i2i−2i2i0022-2-20000000−2i2i00000000000000000000000000−22−i2i2−22−i2i2
χ4322-2-2200−2i2i-22-20200-22-200−2i2i−2i−2i2i2i-2-222002002-20000-20000−2i−2i2i2i2i−2i00-2-22200000002i−2i00000000000000000000000000−i2i22−2i2−i2−22
χ4422-2-2200−2i2i-22-20200-22-200−2i2i−2i−2i2i2i-2-222002002-20000-20000−2i−2i2i2i2i−2i00-2-22200000002i−2i00000000000000000000000000i2−i2−22−i2i22−2
χ452-2-2222-2002-2-202002-2-22-20000002i−2i2i−2i0022-2-2-20000222-2-20000002i−2i2i−2i2i−2i002i−2i02i−2i000000002i2i−2i−2i000000000000002-200000000
χ462-2-2222-2002-2-202002-2-22-20000002i−2i2i−2i0022-2-2-20000222-2-20000002i−2i2i−2i2i−2i00−2i2i02i−2i00000000−2i−2i2i2i00000000000000-2200000000
χ472-2-2222-2002-2-202002-2-22-2000000−2i2i−2i2i0022-2-2-20000222-2-2000000−2i2i−2i2i−2i2i002i−2i0−2i2i000000002i2i−2i−2i00000000000000-2200000000
χ482-2-2222-2002-2-202002-2-22-2000000−2i2i−2i2i0022-2-2-20000222-2-2000000−2i2i−2i2i−2i2i00−2i2i0−2i2i00000000−2i−2i2i2i000000000000002-200000000
χ492-2-222-22002-2-202002-2-2-220000002i−2i2i−2i002-22-2-200002-2-222000000−2i2i2i−2i2i−2i2i−2i000−2i2i00002i2i−2i−2i00000000000000002-20000000000
χ502-2-222-22002-2-202002-2-2-220000002i−2i2i−2i002-22-2-200002-2-222000000−2i2i2i−2i2i−2i−2i2i000−2i2i0000−2i−2i2i2i0000000000000000-220000000000
χ512-2-222-22002-2-202002-2-2-22000000−2i2i−2i2i002-22-2-200002-2-2220000002i−2i−2i2i−2i2i2i−2i0002i−2i00002i2i−2i−2i0000000000000000-220000000000
χ522-2-222-22002-2-202002-2-2-22000000−2i2i−2i2i002-22-2-200002-2-2220000002i−2i−2i2i−2i2i−2i2i0002i−2i0000−2i−2i2i2i00000000000000002-20000000000
χ534444444444444-144-1-1-14444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044440000000-1-1-1-1-1-1-1-1000000000000000000000000
χ544444444444444-144-1-1-14444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-4000000011111111000000000000000000000000
χ554444444-4-4444-4-1-4-4-1-1-144-4-41111000011-1-1-1-1-11111-1-1-1-1-111110000000044-4-40000000-1-1-1-11111000000000000000000000000
χ564444444-4-4444-4-1-4-4-1-1-144-4-41111000011-1-1-1-1-11111-1-1-1-1-1111100000000-4-44400000001111-1-1-1-1000000000000000000000000
χ5744444-4-444444-4-1-4-4-1-1-1-4-444-1-1-1-1000011-111-1-11111-11111-1-1-1-10000000000000000000−55−55−55−55000000000000000000000000
χ5844444-4-444444-4-1-4-4-1-1-1-4-444-1-1-1-1000011-111-1-11111-11111-1-1-1-100000000000000000005−55−55−55−5000000000000000000000000
χ5944444-4-4-4-44444-144-1-1-1-4-4-4-411110000-1-1-111-1-1-1-1-1-1-1111111110000000000000000000−55−555−55−5000000000000000000000000
χ6044444-4-4-4-44444-144-1-1-1-4-4-4-411110000-1-1-111-1-1-1-1-1-1-11111111100000000000000000005−55−5−55−55000000000000000000000000
χ6144-4-4-2004i−4i2-220400-44-400−2i2i4i4i−4i−4i44-4-400-200-22000020000−2i−2i2i2i4i−4i00-2-2220000000−2i2i0000000000000000000000000000000000
χ6244-4-4-2004i−4i2-220400-44-400−2i2i4i4i−4i−4i-4-44400-200-22000020000−2i−2i2i2i−4i4i0022-2-200000002i−2i0000000000000000000000000000000000
χ6344-4-4-200−4i4i2-220400-44-4002i−2i−4i−4i4i4i44-4-400-200-220000200002i2i−2i−2i−4i4i00-2-22200000002i−2i0000000000000000000000000000000000
χ6444-4-4-200−4i4i2-220400-44-4002i−2i−4i−4i4i4i-4-44400-200-220000200002i2i−2i−2i4i−4i0022-2-20000000−2i2i0000000000000000000000000000000000
χ654-44-440000-4-440400-4-44000000004i−4i−4i4i00400-440000-40000000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ664-44-440000-4-440400-4-4400000000−4i4i4i−4i00400-440000-4000000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ674-44-4-2000022-204−2i32i3-4-44000000004i−4i−4i4i00-2002-2−2i3−2i32i32i32000000000000−2i2i2i−2i00000000023−2300000000000000000000000000000000
χ684-44-4-2000022-204−2i32i3-4-4400000000−4i4i4i−4i00-2002-2−2i3−2i32i32i320000000000002i−2i−2i2i000000000−232300000000000000000000000000000000
χ694-44-4-2000022-2042i3−2i3-4-44000000004i−4i−4i4i00-2002-22i32i3−2i3−2i32000000000000−2i2i2i−2i000000000−232300000000000000000000000000000000
χ704-44-4-2000022-2042i3−2i3-4-4400000000−4i4i4i−4i00-2002-22i32i3−2i3−2i320000000000002i−2i−2i2i00000000023−2300000000000000000000000000000000
χ714-4-4444-4004-4-40-100-1114-400−55−550000−55-1-1111−55−55-1-1-111−55−5500000000004i−4i0000000−i5i5i5−i5−i−iii000000000000000000000000
χ724-4-4444-4004-4-40-100-1114-400−55−550000−55-1-1111−55−55-1-1-111−55−550000000000−4i4i0000000i5−i5−i5i5ii−i−i000000000000000000000000
χ734-4-4444-4004-4-40-100-1114-4005−55−500005−5-1-11115−55−5-1-1-1115−55−500000000004i−4i0000000i5−i5−i5i5−i−iii000000000000000000000000
χ744-4-4444-4004-4-40-100-1114-4005−55−500005−5-1-11115−55−5-1-1-1115−55−50000000000−4i4i0000000−i5i5i5−i5ii−i−i000000000000000000000000
χ754-4-444-44004-4-40-100-111-4400−55−5500005−5-11-1115−55−5-111-1-1−55−55000000004i−4i000000000−i−iii−i5i5i5−i5000000000000000000000000
χ764-4-444-44004-4-40-100-111-4400−55−5500005−5-11-1115−55−5-111-1-1−55−5500000000−4i4i000000000ii−i−ii5−i5−i5i5000000000000000000000000
χ774-4-444-44004-4-40-100-111-44005−55−50000−55-11-111−55−55-111-1-15−55−5000000004i−4i000000000−i−iiii5−i5−i5i5000000000000000000000000
χ784-4-444-44004-4-40-100-111-44005−55−50000−55-11-111−55−55-111-1-15−55−500000000−4i4i000000000ii−i−i−i5i5i5−i5000000000000000000000000
χ794-4-44-24-400-22204004-4-4-220000004i−4i4i−4i00-24-4220000-2-2-2220000004i−4i−2i2i−2i2i00000−2i2i000000000000000000000000000000000000
χ804-4-44-24-400-22204004-4-4-22000000−4i4i−4i4i00-24-4220000-2-2-222000000−4i4i2i−2i2i−2i000002i−2i000000000000000000000000000000000000
χ814-4-44-2-4400-22204004-4-42-20000004i−4i4i−4i00-2-44220000-222-2-2000000−4i4i−2i2i−2i2i000002i−2i000000000000000000000000000000000000
χ824-4-44-2-4400-22204004-4-42-2000000−4i4i−4i4i00-2-44220000-222-2-20000004i−4i2i−2i2i−2i00000−2i2i000000000000000000000000000000000000
χ838888-48888-4-4-48-2-4-4-2-2-2-4-4-4-4-2-2-2-20000-2-21-2-2111111111111111000000000000000000000000000000000000000000000000000
χ848888-488-8-8-4-4-4-8-244-2-2-2-4-44422220000221-2-211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000
χ858888-4-8-888-4-4-4-8-244-2-2-244-4-4-2-2-2-200002212211-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000000000000
χ868888-4-8-8-8-8-4-4-48-2-4-4-2-2-2444422220000-2-21221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000
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χ8888-8-8800−8i8i-88-80-2002-2200−8i8i2i2i−2i−2i000000-200-220000200002i2i−2i−2i000000000000000000000000000000000000000000000000000
χ8988-8-8-4008i−8i4-440-2002-2200−4i4i−2i−2i2i2i0000001001-1−i15i15i15−i15-1−1515−1515ii−i−i000000000000000000000000000000000000000000000000000
χ9088-8-8-4008i−8i4-440-2002-2200−4i4i−2i−2i2i2i0000001001-1i15−i15−i15i15-115−1515−15ii−i−i000000000000000000000000000000000000000000000000000
χ9188-8-8-400−8i8i4-440-2002-22004i−4i2i2i−2i−2i0000001001-1−i15i15i15−i15-115−1515−15−i−iii000000000000000000000000000000000000000000000000000
χ9288-8-8-400−8i8i4-440-2002-22004i−4i2i2i−2i−2i0000001001-1i15−i15−i15i15-1−1515−1515−i−iii000000000000000000000000000000000000000000000000000
χ938-88-880000-8-880-20022-20000−2i52i52i5−2i5000000-2002-2000020000−2i52i52i5−2i5000000000000000000000000000000000000000000000000000
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χ958-88-8-4000044-40-2−4i34i322-20000−2i52i52i5−2i5000000100-11i3i3−i3−i3-115−15−1515i5−i5−i5i5000000000000000000000000000000000000000000000000000
χ968-88-8-4000044-40-2−4i34i322-200002i5−2i5−2i52i5000000100-11i3i3−i3−i3-1−151515−15−i5i5i5−i5000000000000000000000000000000000000000000000000000
χ978-88-8-4000044-40-24i3−4i322-20000−2i52i52i5−2i5000000100-11−i3−i3i3i3-1−151515−15i5−i5−i5i5000000000000000000000000000000000000000000000000000
χ988-88-8-4000044-40-24i3−4i322-200002i5−2i5−2i52i5000000100-11−i3−i3i3i3-115−15−1515−i5i5i5−i5000000000000000000000000000000000000000000000000000
χ998-8-88-48-800-4440-200-222-4400−2525−25250000−25251-22-1-15−55−5111-1-15−55−5000000000000000000000000000000000000000000000000000
χ1008-8-88-48-800-4440-200-222-440025−2525−25000025−251-22-1-1−55−55111-1-1−55−55000000000000000000000000000000000000000000000000000
χ1018-8-88-4-8800-4440-200-2224-400−2525−2525000025−2512-2-1-1−55−551-1-1115−55−5000000000000000000000000000000000000000000000000000
χ1028-8-88-4-8800-4440-200-2224-40025−2525−250000−252512-2-1-15−55−51-1-111−55−55000000000000000000000000000000000000000000000000000

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