Finite Group Databasebeta

← Group #11752556

Character table — Group #11752556

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444444444444444444444444444444444444121212121515151520202020242424242424242430303030303040404040
order1222344444455666101010101010121212121212151520202020202020202020202030303030303060606060606060606060606060606060606060606060606044444444222220202020202020202244446666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-1
χ61111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ71111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-111
χ81111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ911111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111111-11-111-1-111-1-1-1-1-1-1111-11-1
χ1011111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11-1111-1-111-1-11111-1-1-11-11
χ1111111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-11-11-1-111-1-111-1-1-1-111-11-11
χ1211111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11-11-1-1-111-1-1111111-1-11-11-1
χ1311111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1111-1-1-1-11111-1-1-1-11-1-11
χ1411111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-111-111-1-1-1-111-1-11111-111-1
χ1511111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-111-1-1-11111-1-111-1-1-1-1-111-1
χ1611111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11-1-11-1-11111-1-1-1-111111-1-11
χ1722222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ1822222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2000000001+521−521+521−521+521−521+521−520000000000
χ1922222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ2022222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2000000001−521+521−521+521−521+521−521+520000000000
χ212222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-200000000−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ222222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-222000000001+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ232222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-200000000−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ242222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ2522222-2-222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-200000000−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ2622222-2-222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-22000000001+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ2722222-2-222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-200000000−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ2822222-2-222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-22000000001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ2922222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2200000000−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ3022222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-2000000001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ3122222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2200000000−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ3222222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-2000000001−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ332222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000000000-1-1-1-1
χ342222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000001111
χ352222-122-2-2-2-222-1-1-1222222-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000022-2-200000000000000-1-111
χ362222-122-2-2-2-222-1-1-1222222-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000-2-2220000000000000011-1-1
χ372222-1-2-222-2-222-1-1-122222211-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000002-22-200000000000000-11-11
χ382222-1-2-222-2-222-1-1-122222211-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000-22-22000000000000001-11-1
χ392222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000002-2-2200000000000000-111-1
χ402222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000-222-2000000000000001-1-11
χ4122-2-22002-200222-2-22-22-2-2-2002-2002200002-22-200002-2-22-2-20000000022-2-222-2-20000000000002i2i−2i−2i00000000000000002i−2i0000
χ4222-2-22002-200222-2-22-22-2-2-2002-2002200002-22-200002-2-22-2-20000000022-2-222-2-2000000000000−2i−2i2i2i0000000000000000−2i2i0000
χ4322-2-2200-2200222-2-22-22-2-2-200-2200220000-22-2200002-2-22-2-200000000-2-222-2-2220000000000002i2i−2i−2i0000000000000000−2i2i0000
χ4422-2-2200-2200222-2-22-22-2-2-200-2200220000-22-2200002-2-22-2-200000000-2-222-2-222000000000000−2i−2i2i2i00000000000000002i−2i0000
χ452-22-222-2000022-22-2-22-22-2-22-20000222-22-200000000-22-2-22-222-2-222-2-2000000000000000000002i−2i2i−2i000000000000002i−2i000000
χ462-22-222-2000022-22-2-22-22-2-22-20000222-22-200000000-22-2-22-222-2-222-2-200000000000000000000−2i2i−2i2i00000000000000−2i2i000000
χ472-22-22-22000022-22-2-22-22-2-2-22000022-22-2200000000-22-2-22-2-2-222-2-222000000000000000000002i−2i2i−2i00000000000000−2i2i000000
χ482-22-22-22000022-22-2-22-22-2-2-22000022-22-2200000000-22-2-22-2-2-222-2-22200000000000000000000−2i2i−2i2i000000000000002i−2i000000
χ492-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-22-2-22000000000000000022-2-222-2-200002-2-220000000000002-200000000
χ502-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-22-2-22000000000000000022-2-222-2-20000-222-2000000000000-2200000000
χ512-2-2220000-2222-2-22-2-2-2-2220000-222200000000-22-22-2-22-2-220000000000000000-2-222-2-22200002-2-22000000000000-2200000000
χ522-2-2220000-2222-2-22-2-2-2-2220000-222200000000-22-22-2-22-2-220000000000000000-2-222-2-2220000-222-20000000000002-200000000
χ534444-2444444−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-2-2-2-2-21+521−52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521+521+521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000
χ544444-2444444−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-2-2-2-2-21−521+52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−521−521−521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000000000000
χ554444-244-4-4-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-222221+521−52−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−51+521+521+521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000
χ564444-244-4-4-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-222221−521+52−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+51−521−521−521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000
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χ984-4-44-20000-444422-2-4-4-4-44400002-2-2-200000000-44-4422-222-2000000000000000022-2-222-2-2000000000000000000000000000000
χ994-4-44-20000-44−1−5−1+522-21+51+51−51−5−1−5−1+500002-21+521−52000000001+5−1−51−5−1+5−1−52−1−521+52−1+52−1+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−1−52−1−521+521+52−1+52−1+521−521−52000000000000000000000000000000
χ1004-4-44-20000-44−1−5−1+522-21+51+51−51−5−1−5−1+500002-21+521−52000000001+5−1−51−5−1+5−1−52−1−521+52−1+52−1+521−52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−1−52−1−521+521+52−1+52−1+521−521−52000000000000000000000000000000
χ1014-4-44-20000-44−1+5−1−522-21−51−51+51+5−1+5−1−500002-21−521+52000000001−5−1+51+5−1−5−1+52−1+521−52−1−52−1−521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−1+52−1+521−521−52−1−52−1−521+521+52000000000000000000000000000000
χ1024-4-44-20000-44−1+5−1−522-21−51−51+51+5−1+5−1−500002-21−521+52000000001−5−1+51+5−1−5−1+52−1+521−52−1−52−1−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−1+52−1+521−521−52−1−52−1−521+521+52000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.