Finite Group Databasebeta

← Group #14453138

Character table — Group #14453138

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size1111222222222222224444444444444444444444444444444488888888888888888888888888888888888888882424242424242424242424244040404040404040484848486060606060608080120
order122234455666101010101010448812121212151520202020202020203030303030306060606060606060812202024242424404040404040404060606060606060601201201201201201201201201201201201201201201201202444202020202020202024446612121010202024448812128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ511111111111111111111-1-11111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-11
χ611111111111111111111-1-11111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1
χ711111111111111111111-1-11111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1
χ811111111111111111111-1-11111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ9111111111111111111-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-11-11
χ10111111111111111111-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-1-11111-1-111-1-111-11-1
χ11111111111111111111-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-11-11-111-1-1-1-11111-1-1111-1-1
χ12111111111111111111-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-111
χ13111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-11-1-1111-1-111-1-111-1-1-1-1-111
χ14111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-111-1-1-11111-1-1-1-111111-1-1
χ15111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-11-1
χ16111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-111-1-1-111-1-11111-1-1-1-11-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−52000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22−1−52−1+52-2-2-2-21+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+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22−1−52−1+52-2-2-2-21+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+521−521−521−521−521+521+521+521+521−521−521−521−52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222-2-22−1−52−1+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+52−1−52−1−52−1+52−1+52-2-21+521−5222-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−522-22-21+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222-2-22−1−52−1+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+52−1−52−1−52−1+52−1+52-2-21+521−5222-2-2−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−52-22-22−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-2-22−1−52−1+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+52−1−52−1−52−1+52−1+522-21+521−52-2-2221+521+521−521−52−1−52−1−52−1+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+522-2-22−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-2-22−1−52−1+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+52−1−52−1−52−1+52−1+522-21+521−52-2-2221+521+521−521−52−1−52−1−52−1+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+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+52000000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22−1+52−1−52-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+5222-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22−1+52−1−52-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2222-2-22−1+52−1−521−521−521+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+52−1−52−1−52-2-21−521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2222-2-22−1+52−1−521−521−521+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+52−1−52−1−52-2-21−521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-22−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-2-22−1+52−1−521−521−521+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+52−1−52−1−522-21−521+52-2-2221−521−521+521+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+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-2-22−1+52−1−521−521−521+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+52−1−52−1−522-21−521+52-2-2221−521−521+521+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+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000000
χ3322222-2-2222222222222-200-222-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20-22200000000000022-2-222-2-200000000000000000000000000000000000000002-2-2200000
χ3422222-2-2222222222222-200-222-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20-22200000000000022-2-222-2-20000000000000000000000000000000000000000-222-200000
χ3522222-2-222222222222-2200-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-202-2-2000000000000-2-222-2-22200000000000000000000000000000000000000002-22-200000
χ3622222-2-222222222222-2200-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-202-2-2000000000000-2-222-2-2220000000000000000000000000000000000000000-22-2200000
χ372222-12222-1-1-12222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-10000000000-1-10
χ382222-12222-1-1-12222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-211110000000000110
χ392222-12222-1-1-122222222-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000022-2-2-1-1-1-10000000000110
χ402222-12222-1-1-122222222-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000-2-22211110000000000-1-10
χ412222-12222-1-1-1222222-2-222-111-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-21-2-2-1-1112222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000002-22-2-1-1110000000000-110
χ422222-12222-1-1-1222222-2-222-111-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-21-2-2-1-1112222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000000000-22-2211-1-100000000001-10
χ432222-12222-1-1-1222222-2-2-2-2-111-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-121-2-211-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000002-2-22-1-11100000000001-10
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χ1114-4-4440044-4-4444-4-4-4-4000000004400000000-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ1124-4-4440044-4-4444-4-4-4-4000000004400000000-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ11388-8-8-48-8−2−25−2+25-4442+252−252+252−25−2−25−2+250000-40041+51−50000−2−25−2+252+252−251+5−1−5−1−51−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-48-8−2+25−2−25-4442−252+252−252+25−2+25−2−250000-40041−51+50000−2+25−2−252−252+251−5−1+5−1+51+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-88−2−25−2+25-4442+252−252+252−25−2−25−2+250000400-41+51−500002+252−25−2−25−2+251+5−1−5−1−51−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-88−2+25−2−25-4442−252+252−252+25−2+25−2−250000400-41−51+500002−252+25−2+25−2−251−5−1+5−1+51+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88800−2−25−2+25-8-88−2−25−2+252+252−252+252−2500000000−2−25−2+25000000002+252+25−2−252−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88800−2+25−2−25-8-88−2+25−2−252−252+252−252+2500000000−2+25−2−25000000002−252−25−2+252+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4008844-488-8-8-8-800000000-4-40000000044-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−25000000001+51−500000000−1−5−1−51+5−1+5−1+51−52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ940000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−25000000001+51−500000000−1−5−1−51+5−1+5−1+51−5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ940000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+25000000001−51+500000000−1+5−1+51−5−1−5−1−51+5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+25000000001−51+500000000−1+5−1+51−5−1−5−1−51+52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000

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