Finite Group Databasebeta

← Group #72252959

Character table — Group #72252959

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112222244444446666668888899121212121212121212121212121618181818181818242424242424242424242424242436363636363636363636363636363636363648484848487272727272727272727272727272727272144144144144
order1222236222466633666646661222366666666666612222666666666666661212121222222224444466666661212121244444666661212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1
χ31111111111111111111111111-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-1-111-1-1-1-1-111-1-1
χ41111111111111111111111111-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-111-1-111
χ5111111111-1-1111111111-111-1-1111111111111111-1111111111-1-1111111-1-1-1-111-11-11-1-11-11-1111111-1-1-1-1-1-11-11-11-11-1-11-1-1-1-11-11-11-1
χ6111111111-1-1111111111-111-1-1111111111111111-1111111111-1-1111111-1-1-1-111-1-11-11-1-11-11111111-1-1-1-1-1-1-11-11-11-11-1-11-1-1-1-11-11-11
χ7111111111-1-1111111111-111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1111-111-1-11
χ8111111111-1-1111111111-111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-111-11-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-11-111111-1-111-1
χ91111111-1-111111111111-1-1-11111111-1-1-1-1111111-11111111-1-11111-1-1-1-11-1-11-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ101111111-1-111111111111-1-1-11111111-1-1-1-1111111-11111111-1-11111-1-1-1-11-1-11-1-11-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1-1-1-11111
χ111111111-1-111111111111-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-111-1-1-111-1-1-1-1111111-1-1-11-1-11111-1-1-111-111-1-1-1-111
χ121111111-1-111111111111-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-111-1-1-111-1-1111111-1-1-1111-1-1-1-111-1-1-1-1111111-1-1
χ131111111-1-1-1-11111111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-11-11-1-11-11-111-1-1-1-1-1-11111-11-111-11-1-11-1-1111-1-11-11
χ141111111-1-1-1-11111111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-11-11-1-11-1111-1-1-1-1-1-111111-11-1-11-11-1-11-111-111-11-1
χ151111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-1-1111-1-11-1-11111-1-1111-1-111-11-1-1111-11-1-1-11-111-1
χ161111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1111-111-11-111-1-1-11111-1-1111-11-1-11-111-11-111-1-11-11-1-11
χ17222222222222222-1-1-1-122222222-1-1-1-1-1-1-12-1-1-1222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222000020000-1-1-1-1-1-1-1-12-1-1200000000-100-1-1-1000000
χ18222222222222222-1-1-1-1222222-2-2-1-1-1-1-1-1-12-1-1-1222-2-2-21111222-1-1-1-1-1-1-1-1-1-12-2-2-20000-20000111111-1-12-1-1-200000000100111000000
χ1922222222222222-12222-12222200-1222222-1-1-1-1-1-120000000-1-1-12-1-1-1-1-1-1222-1000002200022000000-1-1-1-1-10002200-1-1000000-1-100-1-1
χ2022222222222222-12222-12222200-1222222-1-1-1-1-1-120000000-1-1-12-1-1-1-1-1-1222-100000-2-2000-2-2000000-1-1-1-1-1000-2-20011000000110011
χ21222222222-2-22222-1-1-1-12-222-2-222-1-1-1-1-1-1-12-1-1-122-2222-1-1-1-122-21-1-1-1-1-1-1111-222-20000-20000-1-1-1-1-1-111-211-200000000100111000000
χ22222222222-2-22222-1-1-1-12-222-2-2-2-2-1-1-1-1-1-1-12-1-1-122-2-2-2-2111122-21-1-1-1-1-1-1111-2-2-2200002000011111111-211200000000-100-1-1-1000000
χ23222222222-2-2222-12222-1-222-2-200-1222222-1-1-1-1-1-1-20000000-1-11-2-1-1-1-1-1-1-2-2-21000002-20002-2000000111110002-200-11000000-1100-11
χ24222222222-2-2222-12222-1-222-2-200-1222222-1-1-1-1-1-1-20000000-1-11-2-1-1-1-1-1-1-2-2-2100000-22000-2200000011111000-22001-10000001-1001-1
χ252222222-2-2222222-1-1-1-12-2-2-22222-1-1-111112-1-1-122-2222-1-1-1-1-2-22-1-1-11111-1112-2-22000020000-1-11111-1-1-211-200000000-100-111000000
χ262222222-2-2222222-1-1-1-12-2-2-222-2-2-1-1-111112-1-1-122-2-2-2-21111-2-22-1-1-11111-111222-20000-2000011-1-1-1-1-1-1-2112000000001001-1-1000000
χ272222222-2-222222-12222-1-2-2-22200-122-2-2-2-2-1-1-1-1-1-1-2000000011-12-1-111112-2-2-1000002200022000000-1-1111000-2-200-1-1000000-1-10011
χ282222222-2-222222-12222-1-2-2-22200-122-2-2-2-2-1-1-1-1-1-1-2000000011-12-1-111112-2-2-100000-2-2000-2-2000000-1-11110002200110000001100-1-1
χ292222222-2-2-2-22222-1-1-1-122-2-2-2-222-1-1-111112-1-1-1222222-1-1-1-1-2-2-21-1-111111-1-1-2-2-2-20000-20000-1-11111112-1-12000000001001-1-1000000
χ302222222-2-2-2-22222-1-1-1-122-2-2-2-2-2-2-1-1-111112-1-1-1222-2-2-21111-2-2-21-1-111111-1-1-222200002000011-1-1-1-1112-1-1-200000000-100-111000000
χ312222222-2-2-2-2222-12222-12-2-2-2-200-122-2-2-2-2-1-1-1-1-1-120000000111-2-1-11111-2221000002-20002-200000011-1-1-1000-2200-11000000-11001-1
χ322222222-2-2-2-2222-12222-12-2-2-2-200-122-2-2-2-2-1-1-1-1-1-120000000111-2-1-11111-222100000-22000-2200000011-1-1-10002-2001-10000001-100-11
χ33222-2-222002-22-2-22222220002-2222-2-200002222-2-202-2-222220022-2-20000-200-20020000-20000-2-200002-2000000000000200-200000000
χ34222-2-222002-22-2-22222220002-2-2-22-2-200002222-2-20-222-2-2-2-20022-2-20000-200-200-20000200002200002-2000000000000-200200000000
χ35222-2-222002-22-2-22-1-1-1-120002-222-111i3i3−i3−i32-1-1-1-2-202-2-2-1-1-1-1002-111i3i3−i3−i31i3−i3-20020000-2000011i3i3−i3−i3-110i3−i3000000000-1001i3−i3000000
χ36222-2-222002-22-2-22-1-1-1-120002-222-111−i3−i3i3i32-1-1-1-2-202-2-2-1-1-1-1002-111−i3−i3i3i31−i3i3-20020000-2000011−i3−i3i3i3-110−i3i3000000000-1001−i3i3000000
χ37222-2-222002-22-2-22-1-1-1-120002-2-2-2-111i3i3−i3−i32-1-1-1-2-20-2221111002-111i3i3−i3−i31i3−i3-200-2000020000-1-1−i3−i3i3i3-110i3−i3000000000100-1−i3i3000000
χ38222-2-222002-22-2-22-1-1-1-120002-2-2-2-111−i3−i3i3i32-1-1-1-2-20-2221111002-111−i3−i3i3i31−i3i3-200-2000020000-1-1i3i3−i3−i3-110−i3i3000000000100-1i3−i3000000
χ39222-2-22200-222-2-2222222000-22222-2-200002222-2-202-2-2222200-2-2-2-20000200200-2000020000-2-20000-22000000000000-200200000000
χ40222-2-22200-222-2-2222222000-22-2-22-2-200002222-2-20-222-2-2-2-200-2-2-2-2000020020020000-20000220000-22000000000000200-200000000
χ41222-2-22200-222-2-22-1-1-1-12000-2222-111i3i3−i3−i32-1-1-1-2-202-2-2-1-1-1-100-2111i3i3−i3−i3-1−i3i3200-200002000011i3i3−i3−i31-10−i3i3000000000100-1−i3i3000000
χ42222-2-22200-222-2-22-1-1-1-12000-2222-111−i3−i3i3i32-1-1-1-2-202-2-2-1-1-1-100-2111−i3−i3i3i3-1i3−i3200-200002000011−i3−i3i3i31-10i3−i3000000000100-1i3−i3000000
χ43222-2-22200-222-2-22-1-1-1-12000-22-2-2-111i3i3−i3−i32-1-1-1-2-20-222111100-2111i3i3−i3−i3-1−i3i320020000-20000-1-1−i3−i3i3i31-10−i3i3000000000-1001i3−i3000000
χ44222-2-22200-222-2-22-1-1-1-12000-22-2-2-111−i3−i3i3i32-1-1-1-2-20-222111100-2111−i3−i3i3i3-1i3−i320020000-20000-1-1i3i3−i3−i31-10i3−i3000000000-1001−i3i3000000
χ4522-22-2220000-22-2222-2-22000002222-20000-22-2-22-20-22-222-2-200002-200000000000020200-20-22-200000000000000020200-20000-20000
χ4622-22-2220000-22-2222-2-22000002222-20000-22-2-22-20-22-222-2-200002-2000000000000-20-2002022-2000000000000000-20-2002000020000
χ4722-22-2220000-22-2222-2-2200000-2-222-20000-22-2-22-202-22-2-22200002-200000000000020-200-202-2200000000000000020-200-2000020000
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χ4922-2-22220000-2-22222-2-2200000222-220000-22-2-2-220-2-2222-2-20000-220000000000020200-20-20-220000000000000020200-20000-200000
χ5022-2-22220000-2-22222-2-2200000222-220000-22-2-2-220-2-2222-2-20000-2200000000000-20-2002020-2200000000000000-20-20020000200000
χ5122-2-22220000-2-22222-2-2200000-2-22-220000-22-2-2-22022-2-2-2220000-220000000000020-200-20202-20000000000000020-200-20000200000
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χ1011212-1212-12-6-600006-66000000000000000000000000000000000000000000000000000040000-40000000000000000000-200002000000000
χ1021212-1212-12-6-600006-660000000000000000000000000000000000000000000000000000-400004000000000000000000020000-2000000000
χ1031212-12-1212-6-6000066-600000000000000000000000000000000000000000000000000040000-40000000000000000000-2000020000000000
χ1041212-12-1212-6-6000066-6000000000000000000000000000000000000000000000000000-400004000000000000000000020000-20000000000
χ10524-24000-121212-12000000000000-6600000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10624-24000-1212-12120000000000006-600000000000000000000000000000000000000000000000000000000000000000000000000000000000

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