Finite Group Databasebeta

← Group #11817742

Character table — Group #11817742

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order1222222233666666666666663444444666666612121212121212121212121244444444121212121212121212121212121212121212121212121212121222444444666612121212121212122466121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-11111-1-111-1-11-1
χ6111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-1-1-111-1-111-11
χ7111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-11
χ8111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-11-1
χ91111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ101111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111
χ111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ121111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-111-1-11111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-11111-1-1-1-111-1-1-11
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-11-1-1-1-11111-1-1111-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1111-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ17222222222-12222-1-1-1-12-1-12-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-12222-1-1-1-12-1-12-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-211111111000000
χ19222222222-12222-1-1-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000000000000-1-11111-1-1-1-111111111002200-2-2000000000000-2211-1-1-1-111000000
χ20222222222-12222-1-1-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000000000000-1-11111-1-1-1-11111111100-2-200220000000000002-2-1-11111-1-1000000
χ21222222222-12222-1-1-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000000000000011-1-1111111-1-1-1-1111100220022000000000000-2-211-1-111-1-1000000
χ22222222222-12222-1-1-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000000000000011-1-1111111-1-1-1-1111100-2-200-2-200000000000022-1-111-1-111000000
χ23222222222-12222-1-1-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-111111111-1-1-1-1002200-2-20000000000002-2-1-1-1-11111000000
χ24222222222-12222-1-1-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-111111111-1-1-1-100-2-20022000000000000-221111-1-1-1-1000000
χ2522222222-12-1-1-1-12222-122-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-12222-122-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111111110000000000000000
χ2722222222-12-1-1-1-12222-122-12-1-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-21111111122-2-2-2-2-1-1-1-111111111-2-20022001111-1-1-1-1-1-1-1-10000000000000000
χ2822222222-12-1-1-1-12222-122-12-1-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111112200-2-200-1-1-1-1111111110000000000000000
χ2922222222-12-1-1-1-12222-122-12-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-200-2-2001111-1-1-1-111110000000000000000
χ3022222222-12-1-1-1-12222-122-12-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111-2-222-2-21111-1-1-1-1111122002200-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1-1-12222-122-12-1-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-211111111-2-2-2-22211111111-1-1-1-12200-2-200-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-1-1-12222-122-12-1-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-200220011111111-1-1-1-10000000000000000
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χ35222-2-2-2-222222-2-22-2-2-222-2-22-2200000022-2-2-2-220000000000000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000002-2000000000000000000002-2000000−2i2i00
χ36222-2-2-2-222222-2-22-2-2-222-2-22-2200000022-2-2-2-220000000000000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000-2200000000000000000000-220000002i−2i00
χ3722-2-2-222-2222-22-22-2-22-2-222-2-2200002i−2i2-22-2-22-200002i2i−2i−2i00002i2i−2i−2i00000000000000002i−2i000000002i2i−2i−2i2-200000022-2-22i2i−2i−2i00000000000000000000
χ3822-2-2-222-2222-22-22-2-22-2-222-2-2200002i−2i2-22-2-22-200002i2i−2i−2i0000−2i−2i2i2i00000000000000002i−2i000000002i2i−2i−2i-22000000-2-222−2i−2i2i2i00000000000000000000
χ3922-2-2-222-2222-22-22-2-22-2-222-2-220000−2i2i2-22-2-22-20000−2i−2i2i2i00002i2i−2i−2i0000000000000000−2i2i00000000−2i−2i2i2i-22000000-2-2222i2i−2i−2i00000000000000000000
χ4022-2-2-222-2222-22-22-2-22-2-222-2-220000−2i2i2-22-2-22-20000−2i−2i2i2i0000−2i−2i2i2i0000000000000000−2i2i00000000−2i−2i2i2i2-200000022-2-2−2i−2i2i2i00000000000000000000
χ4122-2-2-222-2-12-11-112-2-221-22-1-21-100002i−2i-11-111-1133−3−3−i−iii−i3−i3i3i32i2i−2i−2i0000−i3−i3i3i3−i3−i3i3i300002i−2i−i3−i3i3i333−3−3−i−iii2-2000000-1-111−i−iii33−3−30000000000000000
χ4222-2-2-222-2-12-11-112-2-221-22-1-21-100002i−2i-11-111-1133−3−3−i−iii−i3−i3i3i3−2i−2i2i2i0000i3i3−i3−i3i3i3−i3−i300002i−2i−i3−i3i3i333−3−3−i−iii-2200000011-1-1ii−i−i−3−3330000000000000000
χ4322-2-2-222-2-12-11-112-2-221-22-1-21-100002i−2i-11-111-11−3−333−i−iiii3i3−i3−i32i2i−2i−2i0000i3i3−i3−i3i3i3−i3−i300002i−2ii3i3−i3−i3−3−333−i−iii2-2000000-1-111−i−iii−3−3330000000000000000
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χ4622-2-2-222-2-12-11-112-2-221-22-1-21-10000−2i2i-11-111-1133−3−3ii−i−ii3i3−i3−i3−2i−2i2i2i0000i3i3−i3−i3i3i3−i3−i30000−2i2ii3i3−i3−i333−3−3ii−i−i2-2000000-1-111ii−i−i33−3−30000000000000000
χ4722-2-2-222-2-12-11-112-2-221-22-1-21-10000−2i2i-11-111-11−3−333ii−i−i−i3−i3i3i32i2i−2i−2i0000i3i3−i3−i3i3i3−i3−i30000−2i2i−i3−i3i3i3−3−333ii−i−i-2200000011-1-1−i−iii33−3−30000000000000000
χ4822-2-2-222-2-12-11-112-2-221-22-1-21-10000−2i2i-11-111-11−3−333ii−i−i−i3−i3i3i3−2i−2i2i2i0000−i3−i3i3i3−i3−i3i3i30000−2i2i−i3−i3i3i3−3−333ii−i−i2-2000000-1-111ii−i−i−3−3330000000000000000
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χ522-222-22-2-222-222-2-22-2-2-222-2-222000000-2222-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i00000000000000000000−2i2i2-20000
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χ542-22-22-22-222-22-22-2-222-22-22-2-22002i−2i00-22-2-222-22i−2i2i−2i00000000−2i2i−2i2i-222-2-22-222-22-2002i−2i0000002i−2i2i−2i0000000000000000−2i2i−2i2i00000000000000000000
χ552-22-22-22-222-22-22-2-222-22-22-2-2200−2i2i00-22-2-222-2−2i2i−2i2i000000002i−2i2i−2i-222-2-22-222-22-200−2i2i000000−2i2i−2i2i00000000000000002i−2i2i−2i00000000000000000000
χ562-22-22-22-222-22-22-2-222-22-22-2-2200−2i2i00-22-2-222-2−2i2i−2i2i00000000−2i2i−2i2i2-2-222-22-2-22-2200−2i2i000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000000000
χ572-22-22-22-2-121-11-1-2-22212-2-1-21-1002i−2i001-111-1-11−ii−ii3−33−3−i3i3−i3i32i−2i2i−2i2-2-22-11-111-11-1002i−2i00−i3i3−i3i3−ii−ii3−33−300000000−i3i3−i3i3−ii−ii3−33−30000000000000000
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χ622-22-22-22-2-121-11-1-2-22212-2-1-21-100−2i2i001-111-1-11i−ii−i3−33−3i3−i3i3−i3−2i2i−2i2i2-2-22-11-111-11-100−2i2i00i3−i3i3−i3i−ii−i3−33−300000000i3−i3i3−i3i−ii−i3−33−30000000000000000
χ632-22-22-22-2-121-11-1-2-22212-2-1-21-100−2i2i001-111-1-11i−ii−i−33−33−i3i3−i3i32i−2i2i−2i-222-21-11-1-11-1100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000i3−i3i3−i3−ii−ii3−33−30000000000000000
χ642-22-22-22-2-121-11-1-2-22212-2-1-21-100−2i2i001-111-1-11i−ii−i−33−33−i3i3−i3i3−2i2i−2i2i2-2-22-11-111-11-100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000−i3i3−i3i3i−ii−i−33−330000000000000000
χ652-2-22-2-22222-2-2-2-2-22-222-2-222222-20000-2-2-22-222000000002-2-222-2-220000000000002-200002-2-220000000000002-20000002-2-222-2-220000000000000000
χ662-2-22-2-22222-2-2-2-2-22-222-2-222222-20000-2-2-22-222000000002-2-22-222-20000000000002-200002-2-22000000000000-22000000-222-2-222-20000000000000000
χ672-2-22-2-22222-2-2-2-2-22-222-2-22222-220000-2-2-22-22200000000-222-22-2-22000000000000-220000-222-2000000000000-220000002-2-22-222-20000000000000000
χ682-2-22-2-22222-2-2-2-2-22-222-2-22222-220000-2-2-22-22200000000-222-2-222-2000000000000-220000-222-20000000000002-2000000-222-22-2-220000000000000000
χ692-2-22-2-222-121111-22-22-1-2-2-12-1-12-20000111-11-1-1−i3i3i3−i3−i3i3i3−i3-111-12-2-220000−i3i3i3−i3i3−i3−i3i32-20000-111-1−i3i3i3−i3−i3i3i3−i300002-200−i3i3i3−i3-111-1-111-10000000000000000
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Here i is the imaginary unit (i² = −1).