Finite Group Databasebeta

← Group #72225903

Character table — Group #72225903

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242432323232323232323232323296969696
order1222223444444446666666888888884488888888888888888888121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424161616161616161616161616161616162222666666668888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ101111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ121111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ131111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ141111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ151111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ161111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ172222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ19222222222-2-2-2-22222222222222-2-2-2-2-2-222-2-2000000000000000022-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ20222222222-2-2-2-22222222222222-2-2-2-2-2-222-2-2000000000000000022-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ21222222222-2-2-2-2222222222-2-2-2-22222-2-2-2-222000000000000000022-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000022-2-222-2-2000000000000000000000000
χ22222222222-2-2-2-2222222222-2-2-2-22222-2-2-2-222000000000000000022-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000-2-222-2-222000000000000000000000000
χ232222222-2-222-2-2-2-22222222000000002-20000000022-2-2000022-2-2-2-222-2-2-2-222-2-20000000000000000000000002222-2-2-2-2000000002222-2-2-2-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
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χ262222222-2-222-2-2-2-22222222000000002-200000000-2-2220000-2-222-2-222-2-2-2-222-2-2000000000000000000000000-2-2-2-2222200000000-2-2-2-22222i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ272222222-2-2-2-222-2-2222222200000000-22000022-2-2000022-2-20000-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2000000002222-2-2-2-200000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ282222222-2-2-2-222-2-2222222200000000-22000022-2-2000022-2-20000-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2000000002222-2-2-2-200000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ292222222-2-2-2-222-2-2222222200000000-220000-2-2220000-2-2220000-2-2-2-222-2-2-2-2220000000000000000-2-2-2-2222200000000-2-2-2-2222200000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ302222222-2-2-2-222-2-2222222200000000-220000-2-2220000-2-2220000-2-2-2-222-2-2-2-2220000000000000000-2-2-2-2222200000000-2-2-2-2222200000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ31222222-122222222-1-1-1-1-1-1-1222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ32222222-122222222-1-1-1-1-1-1-1222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ33222222-122222222-1-1-1-1-1-1-122222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000000022-2-2-1-1-1-111110000
χ34222222-122222222-1-1-1-1-1-1-122222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000-2-2221111-1-1-1-10000
χ35222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ36222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ37222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ38222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ392222-2-22222222-2-2-2-2-2-222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ402222-2-22222222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ412222-2-2222-2-2-2-2-2-2-2-2-2-22222222-2-2-2-222-2-2220000000000000000-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ422222-2-2222-2-2-2-2-2-2-2-2-2-22222222-2-2-2-222-2-2220000000000000000-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ432222-2-2222-2-2-2-2-2-2-2-2-2-2222-2-2-2-222222222-2-20000000000000000-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ442222-2-2222-2-2-2-2-2-2-2-2-2-2222-2-2-2-222222222-2-20000000000000000-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ452222-2-22-2-222-2-222-2-2-2-222200000000-220000000022-2-20000-2-22222-2-222-2-222-2-20000000000000000000000002222-2-2-2-200000000-2-2-2-222222−22−2−22−222−22−2−22−220000000000000000
χ462222-2-22-2-222-2-222-2-2-2-222200000000-220000000022-2-20000-2-22222-2-222-2-222-2-20000000000000000000000002222-2-2-2-200000000-2-2-2-22222−22−222−22−2−22−222−22−20000000000000000
χ472222-2-22-2-222-2-222-2-2-2-222200000000-2200000000-2-222000022-2-222-2-222-2-222-2-2000000000000000000000000-2-2-2-22222000000002222-2-2-2-22−22−2−22−22−22−222−22−20000000000000000
χ482222-2-22-2-222-2-222-2-2-2-222200000000-2200000000-2-222000022-2-222-2-222-2-222-2-2000000000000000000000000-2-2-2-22222000000002222-2-2-2-2−22−222−22−22−22−2−22−220000000000000000
χ492222-2-22-2-2-2-22222-2-2-2-2222000000002-2000022-2-20000-2-22200002222-2-2-2-2-2-22200000000000000002222-2-2-2-200000000-2-2-2-22222000000002−2−22−222−22−2−22−222−20000000000000000
χ502222-2-22-2-2-2-22222-2-2-2-2222000000002-2000022-2-20000-2-22200002222-2-2-2-2-2-22200000000000000002222-2-2-2-200000000-2-2-2-2222200000000−222−22−2−22−222−22−2−220000000000000000
χ512222-2-22-2-2-2-22222-2-2-2-2222000000002-20000-2-222000022-2-200002222-2-2-2-2-2-2220000000000000000-2-2-2-22222000000002222-2-2-2-2000000002−2−22−222−2−222−22−2−220000000000000000
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χ542222-2-2-1222222-2-21111-1-1-122222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ552222-2-2-1222222-2-21111-1-1-122222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ562222-2-2-1222222-2-21111-1-1-122222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ572222-2-2-1222222-2-21111-1-1-1-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-1110000
χ582222-2-2-1222222-2-21111-1-1-1-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-10000
χ592222-2-2-1222222-2-21111-1-1-1-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ602222-2-2-1222222-2-21111-1-1-1-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ61444444-244-4-4-4-444-2-2-2-2-2-2-24444-4-4-4-4-4-444-4-40000000000000000-2-22222-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
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χ1414-4-44-44-2-4400004-42-2-2222-24-4-44000000-44000000000000000000-2200002-200002-2-220000-222-20000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ1424-4-44-44-2-4400004-42-2-2222-24-4-44000000-44000000000000000000-2200002-200002-2-220000-222-20000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ1434-4-44-44-2-4400004-42-2-2222-2-444-40000004-4000000000000000000-2200002-20000-222-200002-2-220000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ1444-4-44-44-2-4400004-42-2-2222-2-444-40000004-4000000000000000000-2200002-20000-222-200002-2-220000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000

Here i is the imaginary unit (i² = −1).