Finite Group Databasebeta

← Group #14279099

Character table — Group #14279099

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112224444444444445588888888888888888101010161616161616161616161616161616161616202020202020404040404040404060606060120120120120120120
order1223622456101212151530304466881020202424242430306060606041212101030303030404040401201201201201201201201202446612881212242424248888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-111111111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iii−i−i
χ611111111111111111-1-111111111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−iii
χ711111111111111111-1-111-1-1111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111ii−i−ii−i−i−iii
χ811111111111111111-1-111-1-1111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−iii−iiii−i−i
χ9111111-1-1111-1-11111111-1i−i1-1-1ii−i−i11-1-1-1-11111-111-1-1ii−i−iiiii−i−i−i−i-11-1-1-11i−i1-1ii−i−i1111-1-1i−ii−i
χ10111111-1-1111-1-11111111-1i−i1-1-1ii−i−i11-1-1-1-11111-111-1-1ii−i−iiiii−i−i−i−i-11-1-1-11i−i1-1ii−i−i-1-1-1-111−ii−ii
χ11111111-1-1111-1-11111111-1−ii1-1-1−i−iii11-1-1-1-11111-111-1-1−i−iii−i−i−i−iiiii-11-1-1-11−ii1-1−i−iii1111-1-1−ii−ii
χ12111111-1-1111-1-11111111-1−ii1-1-1−i−iii11-1-1-1-11111-111-1-1−i−iii−i−i−i−iiiii-11-1-1-11−ii1-1−i−iii-1-1-1-111i−ii−i
χ13111111-1-1111-1-11111-1-11-1i−i1-1-1ii−i−i11-1-1-1-1-1-1-11-111-1-1ii−i−iiiii−i−i−i−i1-1111-1−ii-11−i−iiiii−i−i−ii-111-1
χ14111111-1-1111-1-11111-1-11-1i−i1-1-1ii−i−i11-1-1-1-1-1-1-11-111-1-1ii−i−iiiii−i−i−i−i1-1111-1−ii-11−i−iii−i−iiii−i1-1-11
χ15111111-1-1111-1-11111-1-11-1−ii1-1-1−i−iii11-1-1-1-1-1-1-11-111-1-1−i−iii−i−i−i−iiiii1-1111-1i−i-11ii−i−iii−i−i−ii1-1-11
χ16111111-1-1111-1-11111-1-11-1−ii1-1-1−i−iii11-1-1-1-1-1-1-11-111-1-1−i−iii−i−i−i−iiiii1-1111-1i−i-11ii−i−i−i−iiii−i-111-1
χ1722222-22-2222-2-2222222-22002-2-2000022-2-2-2-2222-22-2-222000000000000-2-22-2-2200-2200000000000000
χ1822222-22-2222-2-22222-2-2-22002-2-2000022-2-2-2-2-2-2-2-22-2-22200000000000022-222-2002-200000000000000
χ1922222-2-2222222222222-2-2002220000222222222-2-2-2-2-2-20000000000002-2-222200-2-200000000000000
χ2022222-2-22222222222-2-2-2-2002220000222222-2-2-2-2-2-2-2-2-2000000000000-222-2-2-2002200000000000000
χ21222-1-12222-12-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-10000000000
χ22222-1-12222-12-1-1-1-1-1-122-1-1-2-22221111-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-211111111222-1-1-1-2-2-1-111110000000000
χ23222-1-12222-12-1-1-1-1-1-1-2-2-1-122222-1-1-1-1-1-1-1-1-1-1-21122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2111-2-21111110000000000
χ24222-1-12222-12-1-1-1-1-1-1-2-2-1-1-2-22221111-1-1-1-1-1-1-21122-1-1-1-1-2-2-2-211111111-2-2-21112211-1-1-1-10000000000
χ25222-1-12-2-22-1211-1-1-1-122-112i−2i2-2-2−i−iii-1-111112-1-12-2-1-1112i2i−2i−2i−i−i−i−iiiii-22-211-12i−2i-11−i−iii0000000000
χ26222-1-12-2-22-1211-1-1-1-122-11−2i2i2-2-2ii−i−i-1-111112-1-12-2-1-111−2i−2i2i2iiiii−i−i−i−i-22-211-1−2i2i-11ii−i−i0000000000
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χ29222-1-1-22-22-1211-1-1-1-1221-1002-2-23−33−3-1-111112-1-1-2211-1-1000033−3−333−3−3-2-2211-1001-13−33−30000000000
χ30222-1-1-22-22-1211-1-1-1-1221-1002-2-2−33−33-1-111112-1-1-2211-1-10000−3−333−3−333-2-2211-1001-1−33−330000000000
χ31222-1-1-22-22-1211-1-1-1-1-2-21-1002-2-23−33−3-1-11111-211-2211-1-1000033−3−333−3−322-2-1-1100-11−33−330000000000
χ32222-1-1-22-22-1211-1-1-1-1-2-21-1002-2-2−33−33-1-11111-211-2211-1-10000−3−333−3−33322-2-1-1100-113−33−30000000000
χ33222-1-1-2-222-12-1-1-1-1-1-1221100222−i3i3i3−i3-1-1-1-1-1-12-1-1-2-211110000−i3−i3i3i3i3i3−i3−i32-2-2-1-1-10011−i3i3i3−i30000000000
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χ35222-1-1-2-222-12-1-1-1-1-1-1-2-21100222−i3i3i3−i3-1-1-1-1-1-1-211-2-211110000−i3−i3i3i3i3i3−i3−i3-22211100-1-1i3−i3−i3i30000000000
χ36222-1-1-2-222-12-1-1-1-1-1-1-2-21100222i3−i3−i3i3-1-1-1-1-1-1-211-2-211110000i3i3−i3−i3−i3−i3i3i3-22211100-1-1−i3i3i3−i30000000000
χ3744444444-14-144-1-1-1-1004444-1-1-14444-1-1-1-1-1-1000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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χ39444444-4-4-14-1-4-4-1-1-1-1004-44i−4i-1114i4i−4i−4i-1-11111000-11-1-111−i−iii−i−i−i−iiiii000000000000000000000000
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χ47444-2-2444-1-2-1-2-21+i1521−i1521+i1521−i15200-2-244-1-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i152000-1-11+i1521−i1521+i1521−i152-1-1-1-11+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i152000000000000000000000000
χ48444-2-2444-1-2-1-2-21+i1521−i1521+i1521−i15200-2-2-4-4-1-1-122221+i1521−i1521+i1521+i1521−i1521−i152000-1-11+i1521−i1521+i1521−i1521111−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152000000000000000000000000
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χ7588-8-4-4000-24-24i3−4i31−i151+i151−i151+i150000002−25250000−1+i15−1−i15−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92000000000000000000000000000000000000000000000
χ7688-8-4-4000-24-24i3−4i31+i151−i151+i151−i15000000225−250000−1−i15−1+i15−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116000000000000000000000000000000000000000000000
χ778-80-4400080-800-4-4448i−8i000000000000000000−4i4i000000000000000000000000000000000000000000
χ788-80-4400080-800-4-444−8i8i0000000000000000004i−4i000000000000000000000000000000000000000000
χ7916-16016-16000-40400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ8016-160-88000-404002−2i152+2i15−2+2i15−2−2i150000000000000000000000000000000000000000000000000000000000000000
χ8116-160-88000-404002+2i152−2i15−2−2i15−2+2i150000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.