Finite Group Databasebeta

← Group #14411669

Character table — Group #14411669

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order122234466651010101212202020204444224415303030606060602212121212101010102020202066888824242424242424242244888822226446661010101012122020202044442244303030306060606022121212121010101020202020668888242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−iii11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i
χ911111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111-1-111-1-1-1-1111-11-111111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111-1-111-1-1-1-1111-11-1
χ1011111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-11-1111111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-11-11
χ1111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11-11-111-1-111-1-111-1-1-11-1111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11-11-111-1-111-1-111-1-1-11-11
χ1211111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11-1-111-1-11111-1-11-11-111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11-1-111-1-11111-1-11-11-1
χ1311111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111i−i−iiii−i−i−i−iii11-1-1i−i−ii11111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111i−i−iiii−i−i−i−iii11-1-1i−i−ii
χ1411111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111−iii−i−i−iiiii−i−i11-1-1−iii−i11111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111−iii−i−i−iiiii−i−i11-1-1−iii−i
χ1511111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−iiii−i−i−i−iii-1-111−iii−i11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−iiii−i−i−i−iii-1-111−iii−i
χ1611111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−i−i−iiiii−i−i-1-111i−i−ii11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−i−i−iiiii−i−i-1-111i−i−ii
χ172222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-1000000002222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-100000000
χ182222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-1-1-2-2-2-211111111000000002222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-1-1-2-2-2-21111111100000000
χ192222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000112i2i−2i−2i−i−i−i−iiiii000000002222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000112i2i−2i−2i−i−i−i−iiiii00000000
χ202222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-211110000000011−2i−2i2i2iiiii−i−i−i−i000000002222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-211110000000011−2i−2i2i2iiiii−i−i−i−i00000000
χ212222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000112-22-2-1-111-1-111000000002222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000112-22-2-1-111-1-11100000000
χ222222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-10000000011-22-2211-1-111-1-1000000002222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-10000000011-22-2211-1-111-1-100000000
χ232222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-1111122111100000000-1-12i−2i−2i2i−i−iiiii−i−i000000002222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-1111122111100000000-1-12i−2i−2i2i−i−iiiii−i−i00000000
χ242222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-1111122111100000000-1-1−2i2i2i−2iii−i−i−i−iii000000002222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-1111122111100000000-1-1−2i2i2i−2iii−i−i−i−iii00000000
χ2522-2-22002-2-222-2-20000002i−2i2i−2i002i−2i22-2-20000002i−2i2i−2i00002i2i−2i−2i000000000000002-200000022-2-22002-2-222-2-20000002i−2i2i−2i002i−2i22-2-20000002i−2i2i−2i00002i2i−2i−2i000000000000002-2000000
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χ292-22-2200-22-22-22-20000002i−2i−2i2i2-2002-22-2000000−2i2i2i−2i22-2-2000000000000000000002i−2i00002-22-2200-22-22-22-20000002i−2i−2i2i2-2002-22-2000000−2i2i2i−2i22-2-2000000000000000000002i−2i0000
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χ332-2-2222-2-2-222-2-222-222-2-222-2-200002-2-2222-2-22-2-2-222000000002-2000000000000000000002-2-2222-2-2-222-2-222-222-2-222-2-200002-2-2222-2-22-2-2-222000000002-200000000000000000000
χ342-2-2222-2-2-222-2-222-222-2-2-2-22200002-2-2222-2-2-2222-2-200000000-22000000000000000000002-2-2222-2-2-222-2-222-222-2-2-2-22200002-2-2222-2-2-2222-2-200000000-2200000000000000000000
χ352-2-222-22-2-222-2-22-22-2-22222-2-200002-2-22-2-222-22-2-22200000000-22000000000000000000002-2-222-22-2-222-2-22-22-2-22222-2-200002-2-22-2-222-22-2-22200000000-2200000000000000000000
χ362-2-222-22-2-222-2-22-22-2-222-2-22200002-2-22-2-2222-222-2-2000000002-2000000000000000000002-2-222-22-2-222-2-22-22-2-222-2-22200002-2-22-2-2222-222-2-2000000002-200000000000000000000
χ372-2-22-12-211-12-2-22-1122-2-222-2-20000-111-1-1-1112-211-1-100000000-110000−i3i3−i3i3−i3i3−i3i3000000002-2-22-12-211-12-2-22-1122-2-222-2-20000-111-1-1-1112-211-1-100000000-110000−i3i3−i3i3−i3i3−i3i300000000
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χ1304-44-4400-44-4-11-1100i5−i5−i5i50000-4400-11-11i5−i5−i5i500000011-1-1−i5i5−i5i50000000000000000000000-44-44-4004-441-11-100−i5i5i5−i500004-4001-11-1−i5i5i5−i5000000-1-111i5−i5i5−i50000000000000000000000
χ1314-44-4-2002-224-44-40000004i−4i−4i4i0000-22-220000002i−2i−2i2i000000000000000000000000000000-44-44200-22-2-44-44000000−4i4i4i−4i00002-22-2000000−2i2i2i−2i000000000000000000000000000000
χ1324-44-4-2002-224-44-4000000−4i4i4i−4i0000-22-22000000−2i2i2i−2i000000000000000000000000000000-44-44200-22-2-44-440000004i−4i−4i4i00002-22-20000002i−2i−2i2i000000000000000000000000000000
χ1334-4-4444-4-4-44-111-14-4-1-11100000000-111-1-1-111000000−555−5−555−50000000000000000000000-444-4-4-4444-41-1-11-4411-1-1000000001-1-1111-1-10000005−5−555−5−550000000000000000000000
χ1344-4-4444-4-4-44-111-14-4-1-11100000000-111-1-1-1110000005−5−555−5−550000000000000000000000-444-4-4-4444-41-1-11-4411-1-1000000001-1-1111-1-1000000−555−5−555−50000000000000000000000
χ1354-4-444-44-4-44-111-1-4411-1-100000000-111-111-1-1000000−555−55−5−550000000000000000000000-444-4-44-444-41-1-114-4-1-111000000001-1-11-1-1110000005−5−55−555−50000000000000000000000
χ1364-4-444-44-4-44-111-1-4411-1-100000000-111-111-1-10000005−5−55−555−50000000000000000000000-444-4-44-444-41-1-114-4-1-111000000001-1-11-1-111000000−555−55−5−550000000000000000000000
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
χ1418-88-8-4004-44-22-2200−2i52i52i5−2i5000000001-11-1i5−i5−i5i5000000000000000000000000000000000000-88-88400-44-42-22-2002i5−2i5−2i52i500000000-11-11−i5i5i5−i5000000000000000000000000000000000000
χ1428-88-8-4004-44-22-22002i5−2i5−2i52i5000000001-11-1−i5i5i5−i5000000000000000000000000000000000000-88-88400-44-42-22-200−2i52i52i5−2i500000000-11-11i5−i5−i5i5000000000000000000000000000000000000
χ1438-8-88-48-844-4-222-2-44-2-222000000001-1-1111-1-1000000000000000000000000000000000000-888-84-88-4-442-2-224-422-2-200000000-111-1-1-111000000000000000000000000000000000000
χ1448-8-88-4-8844-4-222-24-422-2-2000000001-1-11-1-111000000000000000000000000000000000000-888-848-8-4-442-2-22-44-2-22200000000-111-111-1-1000000000000000000000000000000000000

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