Finite Group Databasebeta

← Group #72252779

Character table — Group #72252779

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222888899991616161616161818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818184848484896969696144144144144
order1222448888366622221212242424244444444444888888888888888888888888888888888888888888884444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ7111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111
χ8111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1
χ911-1-1-1111-1-111-1-111-1-1-1111-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−ii−ii−i
χ1011-1-1-1111-1-111-1-111-1-1-1111-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−ii−ii
χ1111-1-1-1111-1-111-1-111-1-1-1111-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−ii−ii−ii−i−ii−ii
χ1211-1-1-1111-1-111-1-111-1-1-1111-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−ii−ii−ii−iii−ii−i
χ1311-1-1-11-1-11111-1-111-1-1-11-1-111-1-1-1-1-111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iii−i−iii−i−ii
χ1411-1-1-11-1-11111-1-111-1-1-11-1-111-1-1-1-1-111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−iii−i−iii−i
χ1511-1-1-11-1-11111-1-111-1-1-11-1-111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−i−iii−i−ii−iii−i
χ1611-1-1-11-1-11111-1-111-1-1-11-1-111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−iii−i−iii−ii−i−ii
χ172222222222222222222222222-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222222-2-2-2-2222222-20000-20000-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ1922222222222222-2-2-2-2222222-20000-20000-2-2-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ20222222-2-2-2-22222222222-2-2-2-22-2-2-2-22-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ21222222-2-2-2-22222-2-2-2-222-2-2-2-2-20000-20000222200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ22222222-2-2-2-22222-2-2-2-222-2-2-2-2-20000-20000222200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ232222-2-2000022222222-2-20000-222-2-2-222-2-2000000000000000000000000000022-2-222-2-222-2-222-2-2000000000000
χ242222-2-2000022222222-2-20000-222-2-2-222-2-20000000000000000000000000000-2-222-2-222-2-222-2-222000000000000
χ252222-2-2000022222222-2-20000-2-2-222-2-2-22200000000000022-2-222-2-222-2-222-2-20000000000000000000000000000
χ262222-2-2000022222222-2-20000-2-2-222-2-2-222000000000000-2-222-2-222-2-222-2-2220000000000000000000000000000
χ272222-2-200002222-2-2-2-2-2-200002000020000000022-2-222-2-2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ282222-2-200002222-2-2-2-2-2-200002000020000000022-2-222-2-2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ292222-2-200002222-2-2-2-2-2-2000020000200000000-2-222-2-222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ302222-2-200002222-2-2-2-2-2-2000020000200000000-2-222-2-222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ3122-2-22-2000022-2-222-2-22-20000222-2-2-2-2-22200000000000022-2-222-2-2-2-222-2-2220000000000000000000000000000
χ3222-2-22-2000022-2-222-2-22-20000222-2-2-2-2-222000000000000-2-222-2-22222-2-222-2-20000000000000000000000000000
χ3322-2-22-2000022-2-222-2-22-200002-2-222-222-2-2000000000000000000000000000022-2-222-2-2-2-222-2-222000000000000
χ3422-2-22-2000022-2-222-2-22-200002-2-222-222-2-20000000000000000000000000000-2-222-2-22222-2-222-2-2000000000000
χ3522-2-22-2000022-2-2-2-2222-20000-2000020000000022-2-2-2-222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
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χ3822-2-22-2000022-2-2-2-2222-20000-20000200000000-2-22222-2-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ3922-2-2-2222-2-222-2-222-2-2-2222-2-2-222222-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ4022-2-2-2222-2-222-2-2-2-222-2222-2-220000-20000-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ4122-2-2-2222-2-222-2-2-2-222-2222-2-220000-20000-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ4222-2-2-22-2-22222-2-222-2-2-22-2-222-222222-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000
χ4322-2-2-22-2-22222-2-2-2-222-22-2-22220000-2000022-2-200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ4422-2-2-22-2-22222-2-2-2-222-22-2-22220000-2000022-2-200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ452-22-200i2−i2i2−i22-22-22-22-200i2−i2i2−i20002-20002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-2002-2002-2002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-200i2−i2i2−i22-22-22-22-200i2−i2i2−i20002-20002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200-2200-2200-2200-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ472-22-200i2−i2i2−i22-22-22-22-200i2−i2i2−i2000-22000-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22-2002-2002-2002-200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ482-22-200i2−i2i2−i22-22-22-22-200i2−i2i2−i2000-22000-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-2200-2200-2200-2200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
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χ502-22-200i2−i2i2−i22-22-2-22-2200i2−i2i2−i202-20002-200−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200-22002-200-22002-2000000000000
χ512-22-200i2−i2i2−i22-22-2-22-2200i2−i2i2−i20-22000-2200−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2-22002-200-22002-200000000000000
χ522-22-200i2−i2i2−i22-22-2-22-2200i2−i2i2−i20-22000-2200−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-200-22002-200-2200000000000000
χ532-22-200−i2i2−i2i22-22-22-22-200−i2i2−i2i20002-20002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-2002-2002-2002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ542-22-200−i2i2−i2i22-22-22-22-200−i2i2−i2i20002-20002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200-2200-2200-2200-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ552-22-200−i2i2−i2i22-22-22-22-200−i2i2−i2i2000-22000-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22-2002-2002-2002-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ562-22-200−i2i2−i2i22-22-22-22-200−i2i2−i2i2000-22000-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-2200-2200-2200-2200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ572-22-200−i2i2−i2i22-22-2-22-2200−i2i2−i2i202-20002-200i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200-22002-200-22002-2000000000000
χ582-22-200−i2i2−i2i22-22-2-22-2200−i2i2−i2i202-20002-200i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2002-200-22002-200-22000000000000
χ592-22-200−i2i2−i2i22-22-2-22-2200−i2i2−i2i20-22000-2200i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22-200-22002-200-2200000000000000
χ602-22-200−i2i2−i2i22-22-2-22-2200−i2i2−i2i20-22000-2200i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2-22002-200-22002-200000000000000
χ612-2-2200i2−i2−i2i22-2-222-2-2200i2−i2−i2i20002-2000-22i2−i2−i2i2−i2i2−i2i2i2−i2i2−i22-2002-200-2200-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ622-2-2200i2−i2−i2i22-2-222-2-2200i2−i2−i2i20002-2000-22i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2-2200-22002-2002-200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ632-2-2200i2−i2−i2i22-2-222-2-2200i2−i2−i2i2000-220002-2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2002-2002-200-2200-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
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χ652-2-2200i2−i2−i2i22-2-22-222-200i2−i2−i2i202-2000-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2-22002-2002-200-2200000000000000
χ662-2-2200i2−i2−i2i22-2-22-222-200i2−i2−i2i202-2000-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22-200-2200-22002-200000000000000
χ672-2-2200i2−i2−i2i22-2-22-222-200i2−i2−i2i20-220002-200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2002-200-2200-22002-2000000000000
χ682-2-2200i2−i2−i2i22-2-22-222-200i2−i2−i2i20-220002-200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200-22002-2002-200-22000000000000
χ692-2-2200−i2i2i2−i22-2-222-2-2200−i2i2i2−i20002-2000-22−i2i2i2−i2i2−i2i2−i2−i2i2−i2i22-2002-200-2200-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ702-2-2200−i2i2i2−i22-2-222-2-2200−i2i2i2−i20002-2000-22−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2-2200-22002-2002-200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ712-2-2200−i2i2i2−i22-2-222-2-2200−i2i2i2−i2000-220002-2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2002-2002-200-2200-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ722-2-2200−i2i2i2−i22-2-222-2-2200−i2i2i2−i2000-220002-2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i200-2200-22002-2002-2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ732-2-2200−i2i2i2−i22-2-22-222-200−i2i2i2−i202-2000-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22-200-2200-22002-200000000000000
χ742-2-2200−i2i2i2−i22-2-22-222-200−i2i2i2−i202-2000-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2-22002-2002-200-2200000000000000
χ752-2-2200−i2i2i2−i22-2-22-222-200−i2i2i2−i20-220002-200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200-22002-2002-200-22000000000000
χ762-2-2200−i2i2i2−i22-2-22-222-200−i2i2i2−i20-220002-200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2002-200-2200-22002-2000000000000
χ778888888888-1-1-1-10000-1-1-1-1-1-10000000000000000000000000000000000000000000000000000002222-1-1-1-10000
χ788888888888-1-1-1-10000-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000-2-2-2-211110000
χ79888888-8-8-8-8-1-1-1-10000-1-1111100000000000000000000000000000000000000000000000000000022-2-2-1-1110000
χ80888888-8-8-8-8-1-1-1-10000-1-11111000000000000000000000000000000000000000000000000000000-2-22211-1-10000
χ8188-8-8-8888-8-8-1-11100001-1-1-1110000000000000000000000000000000000000000000000000000002i−2i2i−2i−ii−ii0000
χ8288-8-8-8888-8-8-1-11100001-1-1-111000000000000000000000000000000000000000000000000000000−2i2i−2i2ii−ii−i0000
χ8388-8-8-88-8-888-1-11100001-111-1-10000000000000000000000000000000000000000000000000000002i−2i−2i2i−iii−i0000
χ8488-8-8-88-8-888-1-11100001-111-1-1000000000000000000000000000000000000000000000000000000−2i2i2i−2ii−i−ii0000
χ8516161616-16-160000-2-2-2-20000220000000000000000000000000000000000000000000000000000000000000000000000
χ861616-16-1616-160000-2-2220000-220000000000000000000000000000000000000000000000000000000000000000000000
χ8716-1616-16008i2−8i28i2−8i2-22-22000000−i2i2−i2i2000000000000000000000000000000000000000000000000000000000000000000
χ8816-1616-1600−8i28i2−8i28i2-22-22000000i2−i2i2−i2000000000000000000000000000000000000000000000000000000000000000000
χ8916-16-1616008i2−8i2−8i28i2-222-2000000−i2i2i2−i2000000000000000000000000000000000000000000000000000000000000000000
χ9016-16-161600−8i28i28i2−8i2-222-2000000i2−i2−i2i2000000000000000000000000000000000000000000000000000000000000000000

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