Finite Group Databasebeta

← Group #14277058

Character table — Group #14277058

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020204040404040406060606060606060120120120120
order1222344446661212121245101010121212121515202020203030303030306060606060606060882020202024242424404040404040404060606060606060601201201201201201201201201201201201201201201201202244444661212121212128824242424888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ91111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-11-11111-1-1-1-1i−iii−i−i11-1-111-1-1i−ii−i
χ101111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-11-11111-1-1-1-1i−iii−i−i-1-111-1-111−ii−ii
χ111111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-111-11-1-1-1-11111−ii−i−iiiii−i−i−i−iii-111-1
χ121111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-111-11-1-1-1-11111−ii−i−iii−i−iiiii−i−i1-1-11
χ131111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-11-11111-1-1-1-1−ii−i−iii11-1-111-1-1−ii−ii
χ141111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-11-11111-1-1-1-1−ii−i−iii-1-111-1-111i−ii−i
χ151111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-111-11-1-1-1-11111i−iii−i−iii−i−i−i−iii1-1-11
χ161111111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-111-11-1-1-1-11111i−iii−i−i−i−iiiii−i−i-111-1
χ1722222-2-2222222222-22222-2-2-2-22222222222222222222200-2-2-2-2000000000000-2-2-2-2-2-2-2-2000000000000000022-222-2-222-2-222-2-2000000000000000000
χ1822222-2-2222222222-22222-2-2-2-22222222222222222222200-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000000000-2-22-2-222-2-222-2-222000000000000000000
χ1922222-2-2-2-2222-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-200-2-222000000000000-2-2-2-22222000000000000000022-2-2-2-2222-2-2-2-222000000000000000000
χ2022222-2-2-2-2222-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-200-2-222000000000000-2-2-2-222220000000000000000-2-22222-2-2-22222-2-2000000000000000000
χ212222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ222222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111-2-21111000000000000
χ232222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222222-1-1-1-1-1-1-1-1-2-21111000000000000
χ242222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-21111111122-1-1-1-1000000000000
χ252222-122-2-2-1-1-11111-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112i−2i22-2-2−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii222-2-22-2-1-1-1-111112i−2i−i−iii000000000000
χ262222-122-2-2-1-1-11111-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112i−2i22-2-2−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-2-2-222-221111-1-1-1-1−2i2iii−i−i000000000000
χ272222-122-2-2-1-1-11111-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111−2i2i22-2-2ii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i222-2-22-2-1-1-1-11111−2i2iii−i−i000000000000
χ282222-122-2-2-1-1-11111-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111−2i2i22-2-2ii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-2-2-222-221111-1-1-1-12i−2i−i−iii000000000000
χ292222-1-2-222-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i30000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-222-2-2-1-111-1-11100−i3i3−i3i3000000000000
χ302222-1-2-222-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i30000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-22-2-22211-1-111-1-100i3−i3i3−i3000000000000
χ312222-1-2-222-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i30000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-222-2-2-1-111-1-11100i3−i3i3−i3000000000000
χ322222-1-2-222-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i30000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-22-2-22211-1-111-1-100−i3i3−i3i3000000000000
χ332222-1-2-2-2-2-1-1-111112222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2223−3−33000000001111-1-1-1-13333−3−3−3−3−3−3−3−3333322-2-2-2-22-1-11111-1-1003−3−33000000000000
χ342222-1-2-2-2-2-1-1-111112222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2223−3−33000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333-2-22222-211-1-1-1-11100−333−3000000000000
χ352222-1-2-2-2-2-1-1-111112222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-222−333−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−322-2-2-2-22-1-11111-1-100−333−3000000000000
χ362222-1-2-2-2-2-1-1-111112222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-222−333−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3-2-22222-211-1-1-1-111003−3−33000000000000
χ3722-2-22002i−2i2-2-22i2i−2i−2i022-2-20000222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000002-202i−2i002-2002i−2i000000002−2−i2i22−2−i2i20000
χ3822-2-22002i−2i2-2-22i2i−2i−2i022-2-20000222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000002-202i−2i002-2002i−2i00000000−22i2−i2−22i2−i20000
χ3922-2-22002i−2i2-2-22i2i−2i−2i022-2-20000222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000-220−2i2i00-2200−2i2i00000000−i2i2−22i2−i22−20000
χ4022-2-22002i−2i2-2-22i2i−2i−2i022-2-20000222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000-220−2i2i00-2200−2i2i00000000i2−i22−2−i2i2−220000
χ4122-2-2200−2i2i2-2-2−2i−2i2i2i022-2-2000022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000002-20−2i2i002-200−2i2i000000002−2i2−i22−2i2−i20000
χ4222-2-2200−2i2i2-2-2−2i−2i2i2i022-2-2000022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000002-20−2i2i002-200−2i2i00000000−22−i2i2−22−i2i20000
χ4322-2-2200−2i2i2-2-2−2i−2i2i2i022-2-2000022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000-2202i−2i00-22002i−2i00000000−i2i22−2i2−i2−220000
χ4422-2-2200−2i2i2-2-2−2i−2i2i2i022-2-2000022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000-2202i−2i00-22002i−2i00000000i2−i2−22−i2i22−20000
χ4544444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ4644444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-1-1-1-1-4-4-4-411111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000
χ474444444-4-4444-4-4-4-4-4-1-1-1-144-4-4-1-11111-1-1-1-1-1-1111111114i−4i-1-1114i4i−4i−4i−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000000000000
χ484444444-4-4444-4-4-4-4-4-1-1-1-144-4-4-1-11111-1-1-1-1-1-111111111−4i4i-1-111−4i−4i4i4iiiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000000000000
χ4944444-4-4444444444-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10011110000−5−555−5−55511111111−5−555−5−555−5−555−5−555000000000000000000000000000000000
χ5044444-4-4444444444-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1001111000055−5−555−5−51111111155−5−555−5−555−5−555−5−5000000000000000000000000000000000
χ5144444-4-4-4-4444-4-4-4-44-1-1-1-1-4-444-1-11111-1-1-1-1-1-1111111110011-1-10000−i5−i5i5i5i5i5−i5−i51111-1-1-1-1−i5−i5i5i5−i5−i5i5i5i5i5−i5−i5i5i5−i5−i5000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-1-1-1-1-4-444-1-11111-1-1-1-1-1-1111111110011-1-10000i5i5−i5−i5−i5−i5i5i51111-1-1-1-1i5i5−i5−i5i5i5−i5−i5−i5−i5i5i5−i5−i5i5i5000000000000000000000000000000000
χ534444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15244-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ544444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-4-4-1-1-1-12222111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000000
χ554444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i15244-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ564444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-4-4-1-1-1-12222111111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152000000000000000000000000000000000
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χ11488-8-8-400−8i8i-4444i4i−4i−4i0-2-22200001+i151−i152i2i−2i−2i1+i151−i15−1−i15−1−i15−1+i15−1+i15−2ζ38−2ζ46−2ζ62−2ζ94−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ14+2ζ22+2ζ86+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-880000-88-800000-22-220000-2-2−2i52i52i5−2i522-22-22−2i52i52i5−2i5−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-880000-88-800000-22-220000-2-22i5−2i5−2i52i522-22-222i5−2i5−2i52i52i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-400004-4443−4343−430-22-2200001−i151+i152i5−2i5−2i52i5−1+i15−1−i151−i15−1+i151+i15−1−i152ζ14−2ζ22+2ζ86−2ζ118−2ζ14+2ζ22−2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ38+2ζ46−2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ14+2ζ22−2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ38+2ζ46−2ζ62+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-400004-4443−4343−430-22-2200001+i151−i15−2i52i52i5−2i5−1−i15−1+i151+i15−1−i151−i15−1+i152ζ38−2ζ46+2ζ62−2ζ94−2ζ38+2ζ46−2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ14+2ζ22−2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ38+2ζ46−2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ14+2ζ22−2ζ86+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-400004-44−4343−43430-22-2200001−i151+i15−2i52i52i5−2i5−1+i15−1−i151−i15−1+i151+i15−1−i15−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-400004-44−4343−43430-22-2200001+i151−i152i5−2i5−2i52i5−1−i15−1+i151+i15−1−i151−i15−1+i15−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000

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