Finite Group Databasebeta

← Group #10751739

Character table — Group #10751739

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111111111111222222222222222244444444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222222222366666666666666644444444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
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χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
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χ27222222-2-2-2-2-22-22-2-22222222-2-2-2-22-2-2-2-2-2-22200000000-2-2-2-2222200000000000000000000000000000000000000002-200-220000000000
χ28222222-2-2-2-2-22-22-2-22222222-2-2-2-22-2-2-2-2-2-22200000000-2-2-2-222220000000000000000000000000000000000000000-22002-20000000000
χ292222-2-22-2-22-2-22-2-222222-2-2-222-2-2-22-22-200002i2i−2i−2i0000000000002i2i2i2i−2i−2i−2i−2i00000000002-2002i−2i000022-2-200002i2i−2i−2i0000000000000000
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χ392222-2-22-2-22-2-22-2-22-1-1-1-1111-1-1111-11-110000−2i−2i2i2i0000−3−333−3−333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3002-200−2i2i−3−333-1-111−i3−i3i3i3ii−i−i0000000000000000
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χ4122-2-222-22-2-22-22-2-2222-2-222-22-22-2-22-2-2200002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i000000002-2002i−2i002-22-200002i−2i2i−2i00000000000000000000
χ4222-2-222-22-2-22-22-2-2222-2-222-22-22-2-22-2-2200002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000-2200−2i2i00-22-220000−2i2i−2i2i00000000000000000000
χ4322-2-222-22-2-22-22-2-2222-2-222-22-22-2-22-2-220000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000002-200−2i2i002-22-20000−2i2i−2i2i00000000000000000000
χ4422-2-222-22-2-22-22-2-2222-2-222-22-22-2-22-2-220000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000-22002i−2i00-22-2200002i−2i2i−2i00000000000000000000
χ4522-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-100002i−2i2i−2i00003−33−33−33−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i32-2002i−2i00-11-113−33−3−ii−ii−i3i3−i3i30000000000000000
χ4622-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-100002i−2i2i−2i00003−33−33−33−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3-2200−2i2i001-11-1−33−33i−ii−ii3−i3i3−i30000000000000000
χ4722-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-100002i−2i2i−2i0000−33−33−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i32-2002i−2i00-11-11−33−33−ii−iii3−i3i3−i30000000000000000
χ4822-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-100002i−2i2i−2i0000−33−33−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3-2200−2i2i001-11-13−33−3i−ii−i−i3i3−i3i30000000000000000
χ4922-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-10000−2i2i−2i2i00003−33−33−33−3ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i32-200−2i2i00-11-113−33−3i−ii−ii3−i3i3−i30000000000000000
χ5022-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-10000−2i2i−2i2i00003−33−33−33−3ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3-22002i−2i001-11-1−33−33−ii−ii−i3i3−i3i30000000000000000
χ5122-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-10000−2i2i−2i2i0000−33−33−33−33ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i32-200−2i2i00-11-11−33−33i−ii−i−i3i3−i3i30000000000000000
χ5222-2-222-22-2-22-22-2-22-1-111-1-11-11-111-111-10000−2i2i−2i2i0000−33−33−33−33ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3-22002i−2i001-11-13−33−3−ii−iii3−i3i3−i30000000000000000
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χ5722-2-2-2-2-2-22-2-22222222-2-2-2-222-2-22222-2-22-2-222-2-2222-2-22-2-222-2-2222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ5822-2-2-2-2-2-22-2-22222222-2-2-2-222-2-22222-2-22-2-22-222-2-2-2222-2-222-2-22-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000
χ5922-2-2-2-2-2-22-2-22222222-2-2-2-222-2-22222-2-2-222-22-2-22-2-222-222-2-222-222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ6022-2-2-2-2-2-22-2-22222222-2-2-2-222-2-22222-2-2-222-2-222-222-2-2-222-2-222-2-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000
χ6122-2-2-2-2-2-22-2-222222-1-11111-1-111-1-1-1-1112-2-222-2-2222-2-2-111-1-111-1-1-11111-1-1-1-11111-1-1000000003−3−33−333−3−333−33−3−330000000000000000
χ6222-2-2-2-2-2-22-2-222222-1-11111-1-111-1-1-1-1112-2-222-2-2222-2-2-111-1-111-1-1-11111-1-1-1-11111-1-100000000−333−33−3−333−3−33−333−30000000000000000
χ6322-2-2-2-2-2-22-2-222222-1-11111-1-111-1-1-1-1112-2-22-222-2-2-222-111-1-111-111-1-1-1-11111-1-1-1-111000000003−3−33−333−33−3−33−333−30000000000000000
χ6422-2-2-2-2-2-22-2-222222-1-11111-1-111-1-1-1-1112-2-22-222-2-2-222-111-1-111-111-1-1-1-11111-1-1-1-11100000000−333−33−3−33−333−33−3−330000000000000000
χ6522-2-2-2-2-2-22-2-222222-1-11111-1-111-1-1-1-111-222-22-2-22-2-2221-1-111-1-11-1-11111-1-111-1-1-1-111000000003−3−333−3−33−333−3−333−30000000000000000
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χ6722-2-2-2-2-2-22-2-222222-1-11111-1-111-1-1-1-111-222-2-222-222-2-21-1-111-1-1111-1-1-1-111-1-11111-1-1000000003−3−333−3−333−3−333−3−330000000000000000
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χ914-44-44-4-4444-4-444-4-4-22-22-222-22-2-2-222-2200000000000000000000−2323−2323−2323−2323000000000000000000000000000000000000000000000000
χ924-44-4-44444-4-44-4-4-444-44-4-444-4444-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-44444-4-44-4-4-44-22-222-2-22-2-2-22-22220000000000000000000000000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000
χ944-44-4-44444-4-44-4-4-44-22-222-2-22-2-2-22-222200000000000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000
χ954-44-4-44-4-4-44444-44-44-44-4-4444-4-4-4-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-4-4-44444-44-4-22-222-2-2-222222-2-2-200000000000000000000−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ974-44-4-44-4-4-44444-44-4-22-222-2-2-222222-2-2-2000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ984-4-444-444-4-4-444-44-44-4-444-44444-4-4-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-444-4-4-444-44-4-222-2-22-2-2-2-2222-22200000000000000000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1004-4-444-444-4-4-444-44-4-222-2-22-2-2-2-2222-222000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1014-4-444-4-4-44444-4-4-444-4-444-44-4-4-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-4-4-44444-4-4-44-222-2-22-2222-22-22-2-20000000000000000000000000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000
χ1034-4-444-4-4-44444-4-4-44-222-2-22-2222-22-22-2-200000000000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000
χ1044-4-44-444-44-44-444-4-44-4-44-44-444-444-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-444-44-44-444-4-4-222-22-22-2-22-2-2222-20000000000000000000023−23−2323−232323−23000000000000000000000000000000000000000000000000
χ1064-4-44-444-44-44-444-4-4-222-22-22-2-22-2-2222-200000000000000000000−232323−2323−23−2323000000000000000000000000000000000000000000000000
χ1074-4-44-44-44-44-4-4-4444-222-22-2222-22-2-2-2-22000000004-4-440000000000000000-222-22-2-220000000000000000000000000000000000000000
χ1084-4-44-44-44-44-4-4-4444-222-22-2222-22-2-2-2-2200000000-444-400000000000000002-2-22-222-20000000000000000000000000000000000000000

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