Finite Group Databasebeta

← Group #11755399

Character table — Group #11755399

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444444444444444444444444444444444444121212121515151520202020242424242424242430303030303040404040
order1222222222355666101010101010666666101010101010101010101010151530303030303030303030303030303030303030303030303030303030303024444444244410102020202020204444446121212
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
χ5111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111111-1-1-1-111-1-1-1-1-111-1
χ6111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111111-1-11
χ7111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1111111-1-1-1-11-1-11
χ8111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-11111-111-1
χ91111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-11111-1-111-1-1-1-111-1-1-11-11
χ101111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111-1-111-1-111-1-1111-11-1
χ111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111111-1-1-1-111-1-111-1-111-1-11-11-1
χ121111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-11111-1-111-11-11
χ131111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1111-1-1-1-111-1-1-1-11111-1-1
χ141111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-111-111-1-1-1-1111111-1-1-1-111
χ151111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-111-1-1-11111-1-1-1-1-1-111-1-111
χ161111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11-1-11-1-11111-1-11111-1-111-1-1
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
χ212222222222-122-1-1-1222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000000000-1-1-1-1
χ222222222222-122-1-1-1222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000001111
χ23222222-2-2-2-22−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2−1−52−1−52−1+52−1+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+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
χ24222222-2-2-2-22−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2−1−52−1−52−1+52−1+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+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
χ25222222-2-2-2-22−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+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
χ26222222-2-2-2-22−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+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
χ27222222-2-2-2-2-122-1-1-1222222-1-111112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000002-22-200000000000000-111-1
χ28222222-2-2-2-2-122-1-1-1222222-1-111112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000-22-22000000000000001-1-11
χ292222-2-222-2-22−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-21+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+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
χ302222-2-222-2-22−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-21+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+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
χ312222-2-222-2-22−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+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
χ322222-2-222-2-22−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+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
χ332222-2-222-2-2-122-1-1-122222211-1-111-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000022-2-200000000000000-11-11
χ342222-2-222-2-2-122-1-1-122222211-1-111-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000-2-222000000000000001-11-1
χ352222-2-2-2-2222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2221+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+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
χ362222-2-2-2-2222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2221+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+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
χ372222-2-2-2-2222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+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
χ382222-2-2-2-2222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+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
χ392222-2-2-2-222-122-1-1-12222221111-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000002-2-2200000000000000-1-111
χ402222-2-2-2-222-122-1-1-12222221111-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000-222-20000000000000011-1-1
χ4122-2-2002-2002222-2-22-2-22-2-2002-20000002-22-20000222-2-22-2-20000000022-2-222-2-20000000000002i2i−2i−2i000000000000002i−2i000000
χ4222-2-2002-2002222-2-22-2-22-2-2002-20000002-22-20000222-2-22-2-20000000022-2-222-2-2000000000000−2i−2i2i2i00000000000000−2i2i000000
χ4322-2-200-22002222-2-22-2-22-2-200-22000000-22-220000222-2-22-2-200000000-2-222-2-2220000000000002i2i−2i−2i00000000000000−2i2i000000
χ4422-2-200-22002222-2-22-2-22-2-200-22000000-22-220000222-2-22-2-200000000-2-222-2-222000000000000−2i−2i2i2i000000000000002i−2i000000
χ452-22-22-20000222-22-2-22-2-22-22-200002-22-20000000022-22-2-22-222-2-222-2-2000000000000000000002i−2i2i−2i0000000000002i−2i00000000
χ462-22-22-20000222-22-2-22-2-22-22-200002-22-20000000022-22-2-22-222-2-222-2-200000000000000000000−2i2i−2i2i000000000000−2i2i00000000
χ472-22-2-220000222-22-2-22-2-22-2-220000-22-220000000022-22-2-22-2-2-222-2-222000000000000000000002i−2i2i−2i000000000000−2i2i00000000
χ482-22-2-220000222-22-2-22-2-22-2-220000-22-220000000022-22-2-22-2-2-222-2-22200000000000000000000−2i2i−2i2i0000000000002i−2i00000000
χ492-2-2200002-2222-2-22-2-22-2-2200002-2000000002-22-222-2-22-2-22000000000000000022-2-222-2-200002-2-2200000000000000002-20000
χ502-2-2200002-2222-2-22-2-22-2-2200002-2000000002-22-222-2-22-2-22000000000000000022-2-222-2-20000-222-20000000000000000-220000
χ512-2-220000-22222-2-22-2-22-2-220000-2200000000-22-2222-2-22-2-220000000000000000-2-222-2-22200002-2-220000000000000000-220000
χ522-2-220000-22222-2-22-2-22-2-220000-2200000000-22-2222-2-22-2-220000000000000000-2-222-2-2220000-222-200000000000000002-20000
χ534444444444-2−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-2-2-2-2-2-2−1−5−1−5−1+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+521−521−521−521−52000000000000000000000000000000
χ544444444444-2−1+5−1−5-2-2-2−1+5−1+5−1+5−1−5−1−5−1−5-2-2-2-2-2-2−1+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+521+521+52000000000000000000000000000000
χ55444444-4-4-4-4-2−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-2-22222−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−51+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000
χ56444444-4-4-4-4-2−1+5−1−5-2-2-2−1+5−1+5−1+5−1−5−1−5−1−5-2-22222−1+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+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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χ984-4-440000-44-24422-2-4-44-4-4400002-200000000-44-44-2-222-222-2000000000000000022-2-222-2-2000000000000000000000000000000
χ994-4-440000-44-2−1−5−1+522-21+51+5−1−51−51−5−1+500002-2000000001+5−1−51−5−1+51+521−52−1−52−1−521+52−1+52−1+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−1−52−1−521+521+52−1+52−1+521−521−52000000000000000000000000000000
χ1004-4-440000-44-2−1−5−1+522-21+51+5−1−51−51−5−1+500002-2000000001+5−1−51−5−1+51+521−52−1−52−1−521+52−1+52−1+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−1−52−1−521+521+52−1+52−1+521−521−52000000000000000000000000000000
χ1014-4-440000-44-2−1+5−1−522-21−51−5−1+51+51+5−1−500002-2000000001−5−1+51+5−1−51−521+52−1+52−1+521−52−1−52−1−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−1+52−1+521−521−52−1−52−1−521+521+52000000000000000000000000000000
χ1024-4-440000-44-2−1+5−1−522-21−51−5−1+51+51+5−1−500002-2000000001−5−1+51+5−1−51−521+52−1+52−1+521−52−1−52−1−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−1+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.