Finite Group Databasebeta

← Group #72270472

Character table — Group #72270472

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size112222222224444444444444444444444444441616161616161616224444444448888888888888888888888888883232323232323232336666666661212121212121212121212121212121212121212121212121212124848484848484848
order1222244448822448888888161616161616161616161616161616162444444436666121212122424661212242424242424244848484848484848484848484848484861212121212121222222444488224488888881616161616161616161616161616161624444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
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χ11111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii
χ12111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i
χ13111-1-11-1-11-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii111-1-11-1-11-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii111-1-11-1-11-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ14111-1-11-1-11-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i111-1-11-1-11-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i111-1-11-1-11-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ15111-1-11-1-11-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i111-1-11-1-11-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i111-1-11-1-11-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ16111-1-11-1-11-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii111-1-11-1-11-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii111-1-11-1-11-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ17222222222-2-22222-2-2-2-2-2-2-2000000000000000000000000222222222-2-22222-2-2-2-2-2-2-2000000000000000000000000222222222-2-22222-2-2-2-2-2-2-2000000000000000000000000
χ18222222222-2-2-2-2-2-2-2-2-22222000000000000000000000000222222222-2-2-2-2-2-2-2-2-22222000000000000000000000000222222222-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222-2-2-2-2002-2-22000000022−2−222−2−222−2−222−2−20000000022222-2-2-2-2002-2-22000000022−2−222−2−222−2−222−2−20000000022222-2-2-2-2002-2-22000000022−2−222−2−222−2−222−2−200000000
χ2022222-2-2-2-2002-2-220000000−2−222−2−222−2−222−2−2220000000022222-2-2-2-2002-2-220000000−2−222−2−222−2−222−2−2220000000022222-2-2-2-2002-2-220000000−2−222−2−222−2−222−2−22200000000
χ2122222-2-2-2-200-222-2000000022−2−222−2−2−2−222−2−2220000000022222-2-2-2-200-222-2000000022−2−222−2−2−2−222−2−2220000000022222-2-2-2-200-222-2000000022−2−222−2−2−2−222−2−22200000000
χ2222222-2-2-2-200-222-20000000−2−222−2−22222−2−222−2−20000000022222-2-2-2-200-222-20000000−2−222−2−22222−2−222−2−20000000022222-2-2-2-200-222-20000000−2−222−2−22222−2−222−2−200000000
χ23222-2-22-2-22222-22-2-2-22-2-222000000000000000000000000222-2-22-2-22222-22-2-2-22-2-222000000000000000000000000222-2-22-2-22222-22-2-2-22-2-222000000000000000000000000
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χ3022-22-222-2-20000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000022-22-222-2-20000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000022-22-222-2-20000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ3122-22-222-2-2000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−220000000022-22-222-2-2000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−220000000022-22-222-2-2000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
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χ3322-22-2-2-2222200002-2-20000000000002-2-222-2-220000000022-22-2-2-2222200002-2-20000000000002-2-222-2-220000000022-22-2-2-2222200002-2-20000000000002-2-222-2-2200000000
χ3422-22-2-2-2222200002-2-2000000000000-222-2-222-20000000022-22-2-2-2222200002-2-2000000000000-222-2-222-20000000022-22-2-2-2222200002-2-2000000000000-222-2-222-200000000
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χ4811111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ491111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ501111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ5111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ5211111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ5311111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ5411111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
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χ56111-1-11-1-11-1-11-11-111-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii111-1-11-1-11-1-11-11-111-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-1-111-111-111-11-11-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-1i−ii−i
χ57111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii111-1-11-1-11-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii-1-1-111-111-111-11-11-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i-11-11i−ii−i
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χ13044-4-444-44-40000000004i−4i−4i4i−2222−222222−2222−222i2−2i22i2−2i2−2i22i2−2i22i200000000-2-222-2-22-22000000000−2i2i2i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000000000000000000000000000
χ13144-4-444-44-4000000000−4i4i4i−4i22−2222−22−2222−22222i2−2i22i2−2i2−2i22i2−2i22i200000000-2-222-2-22-220000000002i−2i−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000000000000000000000000000
χ13244-4-444-44-4000000000−4i4i4i−4i−2222−222222−2222−22−2i22i2−2i22i22i2−2i22i2−2i200000000-2-222-2-22-220000000002i−2i−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000000000000000000000000000
χ13344-4-44-44-44440000-44-400004-4-44-444-40000000000000000-2-222-22-22-2-2-200002-220000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000
χ13444-4-44-44-44440000-44-40000-444-44-4-440000000000000000-2-222-22-22-2-2-200002-2200002-2-22-222-200000000000000000000000000000000000000000000000000000000000000
χ13544-4-44-44-44-4-400004-440000000000004i−4i−4i4i−4i4i4i−4i00000000-2-222-22-22-2220000-22-2000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000
χ13644-4-44-44-44-4-400004-44000000000000−4i4i4i−4i4i−4i−4i4i00000000-2-222-22-22-2220000-22-20000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000
χ13716-1600000008i2−8i200000000000000000000000000000000000-880000000−4i24i2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13816-160000000−8i28i200000000000000000000000000000000000-8800000004i2−4i2000000000000000000000000000000000000000000000000000000000000000000000000000000000

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