Finite Group Databasebeta

← Group #11748607

Character table — Group #11748607

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222222222224444444444444444444444444444444444444444444412121212121212121212121212121212121212122020202020202020202020203030303030303030
order1222222234444556666666101010101010101010101010101012121212151520202020202020203030303030303030303030303030606060606060606060606060606060604444202020202020202020202020202020204444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ9111-11-1-1-1111-1-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ10111-11-1-1-1111-1-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ11111-11-1-1-1111-1-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ12111-11-1-1-1111-1-11111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ13111-11-1-1-11-1-1111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111-11-1-1-11-1-1111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111-11-1-1-11-1-1111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ16111-11-1-1-11-1-1111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ172222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ182222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ192222222222222−1+52−1−522222222−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ202222222222222−1+52−1−522222222−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+5200000000000000000000
χ21222222222-2-2-2-2−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ22222222222-2-2-2-2−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ23222222222-2-2-2-2−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ24222222222-2-2-2-2−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ2522222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-100000000
χ2622222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-21111111100000000
χ2722222222-1-2-2-2-222-1-1-1-1-1-1-1222222222222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000022-2-2-1-1-1-1111100000000
χ2822222222-1-2-2-2-222-1-1-1-1-1-1-1222222222222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-2221111-1-1-1-100000000
χ29222-22-2-2-2222-2-2−1−52−1+5222-2-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ30222-22-2-2-2222-2-2−1−52−1+5222-2-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ31222-22-2-2-2222-2-2−1+52−1−5222-2-2-22-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ32222-22-2-2-2222-2-2−1+52−1−5222-2-2-22-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ33222-22-2-2-22-2-222−1−52−1+5222-2-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-222−1−52−1+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+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ34222-22-2-2-22-2-222−1−52−1+5222-2-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-222−1−52−1+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+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+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ35222-22-2-2-22-2-222−1+52−1−5222-2-2-22-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-222−1+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+52−1−521−521−521−521−521+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+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ36222-22-2-2-22-2-222−1+52−1−5222-2-2-22-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-222−1+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+52−1−521−521−521−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ37222-22-2-2-2-122-2-222-1-1111-112222-2-2-2-2-2-2-2-222-1-111-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111000000000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ38222-22-2-2-2-122-2-222-1-1111-112222-2-2-2-2-2-2-2-222-1-111-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111100000000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ39222-22-2-2-2-1-2-22222-1-1111-112222-2-2-2-2-2-2-2-22211-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1000000000000000000002i−2i−2i2i−i−iiiii−i−i00000000
χ40222-22-2-2-2-1-2-22222-1-1111-112222-2-2-2-2-2-2-2-22211-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000000000−2i2i2i−2iii−i−i−i−iii00000000
χ4122-22-2-22-220000222-222-2-2-22-22-222-2-222-2-2-2-2000022000000002-22-222-2-222-2-2-2-200000000000000000000000000000000000000000000000000002-22-2
χ4222-22-2-22-220000222-222-2-2-22-22-222-2-222-2-2-2-2000022000000002-22-222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000-22-22
χ4322-2-2-22-2220000222-2-2-22-222-22-2-2-222-2-222-2-2000022000000002-22-2-2-222-2-222-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i
χ4422-2-2-22-2220000222-2-2-22-222-22-2-2-222-2-222-2-2000022000000002-22-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ452-222-2-2-222000022-222-22-2-2-22-222-22-22-22-2-2-200002200000000-22-222-22-22-22-2-2-20000000000000000000000000000000000000000000000002-22-20000
χ462-222-2-2-222000022-222-22-2-2-22-222-22-22-22-2-2-200002200000000-22-222-22-22-22-2-2-2000000000000000000000000000000000000000000000000-22-220000
χ472-22-2-222-22000022-22-22-2-22-22-22-22-22-22-22-2-200002200000000-22-22-22-22-22-22-2-20000000000000000000000000000000000000000000000002i−2i−2i2i0000
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χ1144-4-4444-4-4-24-44-4−1+5−1−522-222-2-21−51−51+51+5−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1−5-22-221−521+52−1+51−5−1−51+5−1+51−5−1−51+5−1+52−1+52−1−52−1−521−52−1+52−1+521−521+52−1−52−1−521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000000000000000000000000000000000000000
χ1154-4-4444-4-4-2-44-44−1−5−1+522-222-2-21+51+51−51−5−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1+52-22-21+521−521+5−1−51−5−1+51+5−1−51−5−1+5−1−52−1−52−1+52−1+521+52−1−52−1−521+521−52−1+52−1+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000000000000000000000000000
χ1164-4-4444-4-4-2-44-44−1+5−1−522-222-2-21−51−51+51+5−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1−52-22-21−521+521−5−1+51+5−1−51−5−1+51+5−1−5−1+52−1+52−1−52−1−521−52−1+52−1+521−521+52−1−52−1−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000000000000000000000000000000000000000
χ1174-4-4-44-444-24-4-44−1−5−1+5222-2-2-221+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+5-222-21+521−52−1−51+5−1+51−51+5−1−51−5−1+5−1−52−1−52−1+52−1+52−1−521+521+52−1−52−1+521−521−52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000000000000000000000000000
χ1184-4-4-44-444-24-4-44−1+5−1−5222-2-2-221−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−5-222-21−521+52−1+51−5−1−51+51−5−1+51+5−1−5−1+52−1+52−1−52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000000000000000000000000000000000000000
χ1194-4-4-44-444-2-444-4−1−5−1+5222-2-2-221+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+52-2-221+521−521+5−1−51−5−1+5−1−51+5−1+51−5−1−52−1−52−1+52−1+52−1−521+521+52−1−52−1+521−521−52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000000000000000000000000000
χ1204-4-4-44-444-2-444-4−1+5−1−5222-2-2-221−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−52-2-221−521+521−5−1+51+5−1−5−1+51−5−1−51+5−1+52−1+52−1−52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000000000000000000000000000000000000000

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