Finite Group Databasebeta

← Group #14303445

Character table — Group #14303445

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444444444555588888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020202024242424244848606060606060120120120
order1222344666445101010121212121212222215202030303044444466661212121212121212882020606060606060444444441212121212121212121212121212121212124404040402020888888444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111111111111111-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i1111111111-1-1i−iii−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111111-1-1ii−i−i-1i−i
χ61111111111111111111111-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1i−iii−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-111−i−iii1−ii
χ71111111111111111111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii1111111111-1-1−ii−i−iii-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111111-1-1−i−iii-1−ii
χ81111111111111111111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1−ii−i−iii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-111ii−i−i1i−i
χ91111111111-1-1111111-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1
χ101111111111-1-1111111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111
χ111111111111-1-1111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11111-1-111-1-1-1-1-111
χ121111111111-1-1111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111111-1-1
χ131111111111-1-1111111-1-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111i−i−i−iii-1-11111ii−i−i−i−i−i−iiiii-11111-1-1-1-1ii−i−i1−ii
χ141111111111-1-1111111-1-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-111i−i−i−iii-1-11111ii−i−i−i−i−i−iiiii1-1-1-1-11111−i−iii-1i−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111−iiii−i−i-1-11111−i−iiiiiii−i−i−i−i-11111-1-1-1-1−i−iii1i−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-111−iiii−i−i-1-11111−i−iiiiiii−i−i−i−i1-1-1-1-11111ii−i−i-1−ii
χ1722222-2-2222002222-2-2000022222-2-2222-22222-22222222222220000-2-2000000-2-20000-2-20000-2-2-2-2000000000000000000000000
χ1822222-2-2222002222-2-2000022222-2-2222-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2000000220000-2-200002222000000000000000000000000
χ1922222-2-2222002222-2-20000-2-2-2-22-2-222222i2i−2i−2i2-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-2000000−2i2i0000220000−2i−2i2i2i000000000000000000000000
χ2022222-2-2222002222-2-20000-2-2-2-22-2-22222−2i−2i2i2i2-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-20000002i−2i00002200002i2i−2i−2i000000000000000000000000
χ212222-122-1-1-1222222-1-1-1-1-1-12222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-122-1-1-1222222-1-1-1-1-1-12222-122-1-1-12-2-2-2-22-1-1-1-1111111110022-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-11111111111110000000000000000
χ232222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-122-1-1-1-22i2i−2i−2i-21111−i−i−i−iiiii0022-1-1-1-1-1-1-2-22i−2i2i2i−2i−2i111111−i−iii−i−i−i−iiiii0000000000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-122-1-1-1-2−2i−2i2i2i-21111iiii−i−i−i−i0022-1-1-1-1-1-1-2-2−2i2i−2i−2i2i2i111111ii−i−iiiii−i−i−i−i0000000000000000
χ252222-122-1-1-1-2-22222-1-111112222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-1-11111-2-222-2-2-2-2-1-11111-1-1-1-1111111110000000000000000
χ262222-122-1-1-1-2-22222-1-111112222-122-1-1-12-2-2-2-22-1-1-1-11111111100-2-2-1-11111-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ272222-122-1-1-1-2-22222-1-11111-2-2-2-2-122-1-1-1-22i2i−2i−2i-21111−i−i−i−iiiii00-2-2-1-11111222i−2i−2i−2i2i2i11-1-1-1-1−i−iiiiiii−i−i−i−i0000000000000000
χ282222-122-1-1-1-2-22222-1-11111-2-2-2-2-122-1-1-1-2−2i−2i2i2i-21111iiii−i−i−i−i00-2-2-1-1111122−2i2i2i2i−2i−2i11-1-1-1-1ii−i−i−i−i−i−iiiii0000000000000000
χ292222-1-2-2-1-1-100222211−i3−i3i3i32222-1-2-2-1-1-1-22222-2-1-1-1-1-1-1-1-1-1-1-1-1000011−i3−i3i3i300-2-2000011−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i30000000000000000
χ302222-1-2-2-1-1-100222211−i3−i3i3i32222-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-111111111000011−i3−i3i3i30022000011−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000
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χ322222-1-2-2-1-1-100222211−i3−i3i3i3-2-2-2-2-1-2-2-1-1-12−2i−2i2i2i21111iiii−i−i−i−i000011−i3−i3i3i3002i−2i0000-1-1i3i3−i3−i3−i−iii−3−33333−3−30000000000000000
χ332222-1-2-2-1-1-100222211i3i3−i3−i32222-1-2-2-1-1-1-22222-2-1-1-1-1-1-1-1-1-1-1-1-1000011i3i3−i3−i300-2-2000011i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i30000000000000000
χ342222-1-2-2-1-1-100222211i3i3−i3−i32222-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-111111111000011i3i3−i3−i30022000011i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-1-2-2-1-1-100222211i3i3−i3−i3-2-2-2-2-1-2-2-1-1-122i2i−2i−2i21111−i−i−i−iiiii000011i3i3−i3−i300−2i2i0000-1-1−i3−i3i3i3ii−i−i−3−33333−3−30000000000000000
χ362222-1-2-2-1-1-100222211i3i3−i3−i3-2-2-2-2-1-2-2-1-1-12−2i−2i2i2i21111iiii−i−i−i−i000011i3i3−i3−i3002i−2i0000-1-1−i3−i3i3i3−i−iii33−3−3−3−3330000000000000000
χ3722-2-222-2-22-20022-2-22-200002-22-222-2-22-220000-22-2-220000000000002-2000000002-22-22-2000000002-22-22-22-20000000000000000
χ3822-2-222-2-22-20022-2-22-200002-22-222-2-22-220000-22-2-220000000000002-200000000-22-222-200000000-22-22-22-220000000000000000
χ3922-2-222-2-22-20022-2-22-20000-22-2222-2-22-2-200002-222-20000000000002-2000000002i−2i−2i2i-22000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4022-2-222-2-22-20022-2-22-20000-22-2222-2-22-2-200002-222-20000000000002-200000000−2i2i2i−2i-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4122-2-22-22-22-22i−2i22-2-2-222i−2i2i−2i2-22-22-22-22-2-2000022-2-2200000000002i−2i-222i−2i2i−2i2i−2i000000-222i−2i2i−2i0000000000000000000000000000
χ4222-2-22-22-22-22i−2i22-2-2-222i−2i2i−2i-22-222-22-22-220000-2-222-200000000002i−2i-222i−2i2i−2i−2i2i0000002-2−2i2i−2i2i0000000000000000000000000000
χ4322-2-22-22-22-2−2i2i22-2-2-22−2i2i−2i2i2-22-22-22-22-2-2000022-2-220000000000−2i2i-22−2i2i−2i2i−2i2i000000-22−2i2i−2i2i0000000000000000000000000000
χ4422-2-22-22-22-2−2i2i22-2-2-22−2i2i−2i2i-22-222-22-22-220000-2-222-20000000000−2i2i-22−2i2i−2i2i2i−2i0000002-22i−2i2i−2i0000000000000000000000000000
χ4522-2-2-12-21-110022-2-2-113−3−332-22-2-12-21-1120000-2-111-133−3−333−3−30000-113−3−3300002-22-2-113−3−333−33−3-11-11-11-110000000000000000
χ4622-2-2-12-21-110022-2-2-113−3−332-22-2-12-21-1120000-2-111-1−3−333−3−3330000-113−3−330000-22-22-113−3−33−33−331-11-11-11-10000000000000000
χ4722-2-2-12-21-110022-2-2-113−3−33-22-22-12-21-11-2000021-1-11−i3−i3i3i3i3i3−i3−i30000-113−3−330000−2i2i2i−2i1-1−333−3−i3i3i3−i3i−ii−i−ii−ii0000000000000000
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χ5022-2-2-12-21-110022-2-2-11−333−32-22-2-12-21-1120000-2-111-1−3−333−3−3330000-11−333−300002-22-2-11−333−3−33−33-11-11-11-110000000000000000
χ5122-2-2-12-21-110022-2-2-11−333−3-22-22-12-21-11-2000021-1-11−i3−i3i3i3i3i3−i3−i30000-11−333−300002i−2i−2i2i1-13−3−33−i3i3i3−i3−ii−iii−ii−i0000000000000000
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χ888888-488-4-4-488-2-2-2-2-4-4-4-4-4-400001-2-211100000000000000000000-2-2111111000000000000000000000000000000000000000000
χ898888-488-4-4-4-8-8-2-2-2-2-4-4444400001-2-2111000000000000000000002211-1-1-1-1000000000000000000000000000000000000000000
χ908888-4-8-8-4-4-400-2-2-2-244−4i3−4i34i34i300001221110000000000000000000000-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ918888-4-8-8-4-4-400-2-2-2-2444i34i3−4i3−4i300001221110000000000000000000000-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ9288-8-888-8-88-800-2-2228-800000000-2-222-220000000000000000000000-220000000000000000000000000000000000000000000000
χ9388-8-8-48-84-4400-2-222-4443−43−434300001-22-11-100000000000000000000001-1−333−3000000000000000000000000000000000000000000
χ9488-8-8-48-84-4400-2-222-44−434343−4300001-22-11-100000000000000000000001-13−3−33000000000000000000000000000000000000000000
χ9588-8-8-4-884-448i−8i-2-2224-4−4i4i−4i4i000012-2-11-100000000000000000000−2i2i-11i−ii−i000000000000000000000000000000000000000000
χ9688-8-8-4-884-44−8i8i-2-2224-44i−4i4i−4i000012-2-11-1000000000000000000002i−2i-11−ii−ii000000000000000000000000000000000000000000
χ978-88-8800-8-8800-22-220000000000-20022-20000000000000000000000000000000000000000000000000000000i10−i10−i10i1000000000000
χ988-88-8800-8-8800-22-220000000000-20022-20000000000000000000000000000000000000000000000000000000−i10i10i10−i1000000000000
χ998-8-888008-8-800-222-20000000000-200-222000000000000000000−4i24i200000000000000000000000000000000000i2i2−i2−i200000000000
χ1008-8-888008-8-800-222-20000000000-200-2220000000000000000004i2−4i200000000000000000000000000000000000−i2−i2i2i200000000000
χ10116-1616-16-80088-800-44-440000000000200-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10216-16-1616-800-88800-444-400000000002002-2-20000000000000000000000000000000000000000000000000000000000000000000000

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