Finite Group Databasebeta

← Group #14319901

Character table — Group #14319901

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order12223446665101010121220202020222222441530303060606060446666101010102020202044441212121212121212121222444444222264466610101010121220202020222222443030303060606060446666101010102020202044441212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ911111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-111111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1
χ1011111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-1111111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-11
χ1111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-1111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-11
χ1211111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-1
χ1311111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii11111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii
χ1411111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i11111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i
χ1511111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i
χ1611111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii
χ172222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1000000002222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ182222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-111111111000000002222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ192222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii000000002222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000
χ202222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i000000002222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ212222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-111000000002222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-11100000000
χ222222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000-22-221111-1-111-1-1000000002222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000-22-221111-1-111-1-100000000
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χ2522-2-22002-2-222-2-200000022-2-2002i−2i22-2-2000000-2-22200002i2i−2i−2i00000000000000002i−2i000022-2-22002-2-222-2-200000022-2-2002i−2i22-2-2000000-2-22200002i2i−2i−2i00000000000000002i−2i0000
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χ2722-2-22002-2-222-2-2000000-2-222002i−2i22-2-200000022-2-200002i2i−2i−2i0000000000000000−2i2i000022-2-22002-2-222-2-2000000-2-222002i−2i22-2-200000022-2-200002i2i−2i−2i0000000000000000−2i2i0000
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χ292-22-222i−2i-22-22-22-22i−2i2i2i−2i−2i2-22-200002-22-22i2i−2i−2i2i−2i2-22-20000000000002i−2i00000000000000002-22-222i−2i-22-22-22-22i−2i2i2i−2i−2i2-22-200002-22-22i2i−2i−2i2i−2i2-22-20000000000002i−2i0000000000000000
χ302-22-222i−2i-22-22-22-22i−2i2i2i−2i−2i-22-2200002-22-22i2i−2i−2i−2i2i-22-22000000000000−2i2i00000000000000002-22-222i−2i-22-22-22-22i−2i2i2i−2i−2i-22-2200002-22-22i2i−2i−2i−2i2i-22-22000000000000−2i2i0000000000000000
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χ1284-44-444i−4i-44-4-11-114i−4i−i−iii00000000-11-11−i−iii0000005−5−55i5−i5i5−i50000000000000000000000-44-44-4−4i4i4-441-11-1−4i4iii−i−i000000001-11-1ii−i−i000000−555−5−i5i5−i5i50000000000000000000000
χ1294-44-44−4i4i-44-4-11-11−4i4iii−i−i00000000-11-11ii−i−i000000−555−5i5−i5i5−i50000000000000000000000-44-44-44i−4i4-441-11-14i−4i−i−iii000000001-11-1−i−iii0000005−5−55−i5i5−i5i50000000000000000000000
χ1304-44-44−4i4i-44-4-11-11−4i4iii−i−i00000000-11-11ii−i−i0000005−5−55−i5i5−i5i50000000000000000000000-44-44-44i−4i4-441-11-14i−4i−i−iii000000001-11-1−i−iii000000−555−5i5−i5i5−i50000000000000000000000
χ1314-4-44400-4-44-111-100−555−500004-400-111-1−555−5000000-1-111−555−50000000000000000000000-444-4-40044-41-1-11005−5−550000-44001-1-115−5−5500000011-1-15−5−550000000000000000000000
χ1324-4-44400-4-44-111-100−555−50000-4400-111-1−555−500000011-1-15−5−550000000000000000000000-444-4-40044-41-1-11005−5−5500004-4001-1-115−5−55000000-1-111−555−50000000000000000000000
χ1334-4-44400-4-44-111-1005−5−5500004-400-111-15−5−55000000-1-1115−5−550000000000000000000000-444-4-40044-41-1-1100−555−50000-44001-1-11−555−500000011-1-1−555−50000000000000000000000
χ1344-4-44400-4-44-111-1005−5−550000-4400-111-15−5−5500000011-1-1−555−50000000000000000000000-444-4-40044-41-1-1100−555−500004-4001-1-11−555−5000000-1-1115−5−550000000000000000000000
χ1354-4-44-20022-24-4-440000004-4-440000-222-20000002-2-22000000000000000000000000000000-444-4200-2-22-444-4000000-444-400002-2-22000000-222-2000000000000000000000000000000
χ1364-4-44-20022-24-4-44000000-444-40000-222-2000000-222-2000000000000000000000000000000-444-4200-2-22-444-40000004-4-4400002-2-220000002-2-22000000000000000000000000000000
χ1378888-488-4-4-4-2-2-2-2-4-4-2-2-2-20000000011111111000000000000000000000000000000000000-8-8-8-84-8-8444222244222200000000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ1388888-4-8-8-4-4-4-2-2-2-2442222000000001111-1-1-1-1000000000000000000000000000000000000-8-8-8-84884442222-4-4-2-2-2-200000000-1-1-1-11111000000000000000000000000000000000000
χ13988-8-8-400-444-2-22200−2i52i5−2i52i50000000011-1-1i5−i5i5−i5000000000000000000000000000000000000-8-8884004-4-422-2-2002i5−2i52i5−2i500000000-1-111−i5i5−i5i5000000000000000000000000000000000000
χ14088-8-8-400-444-2-222002i5−2i52i5−2i50000000011-1-1−i5i5−i5i5000000000000000000000000000000000000-8-8884004-4-422-2-200−2i52i5−2i52i500000000-1-111i5−i5i5−i5000000000000000000000000000000000000
χ1418-88-8-48i−8i4-44-22-22−4i4i−2i−2i2i2i000000001-11-1ii−i−i000000000000000000000000000000000000-88-884−8i8i-44-42-22-24i−4i2i2i−2i−2i00000000-11-11−i−iii000000000000000000000000000000000000
χ1428-88-8-4−8i8i4-44-22-224i−4i2i2i−2i−2i000000001-11-1−i−iii000000000000000000000000000000000000-88-8848i−8i-44-42-22-2−4i4i−2i−2i2i2i00000000-11-11ii−i−i000000000000000000000000000000000000
χ1438-8-88-40044-4-222-200−252525−25000000001-1-115−5−55000000000000000000000000000000000000-888-8400-4-442-2-220025−25−252500000000-111-1−555−5000000000000000000000000000000000000
χ1448-8-88-40044-4-222-20025−25−2525000000001-1-11−555−5000000000000000000000000000000000000-888-8400-4-442-2-2200−252525−2500000000-111-15−5−55000000000000000000000000000000000000

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