Finite Group Databasebeta

← Group #10876308

Character table — Group #10876308

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222222223444466666666666666622444444666666661212121212121212121212121212121244444444121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222-2-2-2-222222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ192222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ202222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ212222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ22222222222222-2-2-2-22-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ23222222222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ25222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22222-12222-1-1-1-111111111-1-1-1-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2922222222-2-2-2-22222-12222-1-1-1-111111111-1-1-1-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3022222222-2-2-2-22222-1-2-2-2-2-1-1-1-111111111-1-1-1-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3122222222-2-2-2-22222-1-2-2-2-2-1-1-1-111111111-1-1-1-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3222222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-12222-1-1-1-111111111-1-1-122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-2-2-2-2-12222-1-1-1-111111111-1-1-122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-111111111-1-1-1222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-111111111-1-1-1222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3722-2-222-2-222-2-20000222-2-22-2-2-22222-2-2-2-222-2002-200000000000022-2-222-2-200000000000000000000000000000000002i−2i002i−2i00000000
χ3822-2-222-2-222-2-20000222-2-22-2-2-22222-2-2-2-222-2002-200000000000022-2-222-2-20000000000000000000000000000000000−2i2i00−2i2i00000000
χ3922-2-222-2-222-2-200002-2-2222-2-2-22222-2-2-2-222-200-22000000000000-2-222-2-222000000000000000000000000000000002i−2i002i−2i0000000000
χ4022-2-222-2-222-2-200002-2-2222-2-2-22222-2-2-2-222-200-22000000000000-2-222-2-22200000000000000000000000000000000−2i2i00−2i2i0000000000
χ4122-2-222-2-2-2-2220000222-2-22-2-2-2-2-2-2-2222222-200-2200000000000022-2-2-2-22200000000000000000000000000000000002i−2i00−2i2i00000000
χ4222-2-222-2-2-2-2220000222-2-22-2-2-2-2-2-2-2222222-200-2200000000000022-2-2-2-2220000000000000000000000000000000000−2i2i002i−2i00000000
χ4322-2-222-2-2-2-22200002-2-2222-2-2-2-2-2-2-2222222-2002-2000000000000-2-22222-2-2000000000000000000000000000000002i−2i00−2i2i0000000000
χ4422-2-222-2-2-2-22200002-2-2222-2-2-2-2-2-2-2222222-2002-2000000000000-2-22222-2-200000000000000000000000000000000−2i2i002i−2i0000000000
χ452-22-22-22-2000022-2-222-22-2-222-2000000002-2-200002-20022-2-200002-22-2000022-2-20000002i−2i002i−2i00002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ462-22-22-22-2000022-2-222-22-2-222-2000000002-2-200002-20022-2-200002-22-2000022-2-2000000−2i2i00−2i2i0000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ472-22-22-22-2000022-2-22-22-22-222-2000000002-2-20000-220022-2-20000-22-220000-2-22200002i−2i002i−2i002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ482-22-22-22-2000022-2-22-22-22-222-2000000002-2-20000-220022-2-20000-22-220000-2-2220000−2i2i00−2i2i00−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ492-22-22-22-2000022-2-2-12-22-21-1-11−i3−i3i3i3−i3−i3i3i3-11100002-200-1-111−i3−i3i3i3-11-11−i3i3−i3i3-1-111−i3−i3i3i3002i−2i002i−2i3−3−33−ii−ii3−3−33−ii−ii0000000000000000
χ502-22-22-22-2000022-2-2-12-22-21-1-11−i3−i3i3i3−i3−i3i3i3-11100002-200-1-111−i3−i3i3i3-11-11−i3i3−i3i3-1-111−i3−i3i3i300−2i2i00−2i2i−333−3i−ii−i−333−3i−ii−i0000000000000000
χ512-22-22-22-2000022-2-2-12-22-21-1-11i3i3−i3−i3i3i3−i3−i3-11100002-200-1-111i3i3−i3−i3-11-11i3−i3i3−i3-1-111i3i3−i3−i3002i−2i002i−2i−333−3−ii−ii−333−3−ii−ii0000000000000000
χ522-22-22-22-2000022-2-2-12-22-21-1-11i3i3−i3−i3i3i3−i3−i3-11100002-200-1-111i3i3−i3−i3-11-11i3−i3i3−i3-1-111i3i3−i3−i300−2i2i00−2i2i3−3−33i−ii−i3−3−33i−ii−i0000000000000000
χ532-22-22-22-2000022-2-2-1-22-221-1-11−i3−i3i3i3−i3−i3i3i3-1110000-2200-1-111−i3−i3i3i31-11-1i3−i3i3−i311-1-1i3i3−i3−i32i−2i002i−2i00−ii−ii3−3−33−ii−ii3−3−330000000000000000
χ542-22-22-22-2000022-2-2-1-22-221-1-11−i3−i3i3i3−i3−i3i3i3-1110000-2200-1-111−i3−i3i3i31-11-1i3−i3i3−i311-1-1i3i3−i3−i3−2i2i00−2i2i00i−ii−i−333−3i−ii−i−333−30000000000000000
χ552-22-22-22-2000022-2-2-1-22-221-1-11i3i3−i3−i3i3i3−i3−i3-1110000-2200-1-111i3i3−i3−i31-11-1−i3i3−i3i311-1-1−i3−i3i3i32i−2i002i−2i00−ii−ii−333−3−ii−ii−333−30000000000000000
χ562-22-22-22-2000022-2-2-1-22-221-1-11i3i3−i3−i3i3i3−i3−i3-1110000-2200-1-111i3i3−i3−i31-11-1−i3i3−i3i311-1-1−i3−i3i3i3−2i2i00−2i2i00i−ii−i3−3−33i−ii−i3−3−330000000000000000
χ572-22-22-22-20000-2-22222-22-2-222-2000000002-2-20000-2200-2-22200002-22-20000-2-2220000002i−2i00−2i2i00002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ582-22-22-22-20000-2-22222-22-2-222-2000000002-2-20000-2200-2-22200002-22-20000-2-222000000−2i2i002i−2i0000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ592-22-22-22-20000-2-2222-22-22-222-2000000002-2-200002-200-2-2220000-22-22000022-2-200002i−2i00−2i2i002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ602-22-22-22-20000-2-2222-22-22-222-2000000002-2-200002-200-2-2220000-22-22000022-2-20000−2i2i002i−2i00−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ612-22-22-22-20000-2-222-12-22-21-1-11−i3−i3i3i3−i3−i3i3i3-1110000-220011-1-1i3i3−i3−i3-11-11−i3i3−i3i311-1-1i3i3−i3−i3002i−2i00−2i2i3−3−33−ii−ii−333−3i−ii−i0000000000000000
χ622-22-22-22-20000-2-222-12-22-21-1-11−i3−i3i3i3−i3−i3i3i3-1110000-220011-1-1i3i3−i3−i3-11-11−i3i3−i3i311-1-1i3i3−i3−i300−2i2i002i−2i−333−3i−ii−i3−3−33−ii−ii0000000000000000
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χ672-22-22-22-20000-2-222-1-22-221-1-11i3i3−i3−i3i3i3−i3−i3-11100002-20011-1-1−i3−i3i3i31-11-1−i3i3−i3i3-1-111i3i3−i3−i32i−2i00−2i2i00−ii−ii−333−3i−ii−i3−3−330000000000000000
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χ702-2-2-2-22222-22-22-22-220000-22-2-22-22-22-22-2-2222-20000002-22-22-22-2000000000000000000000000000000000000000000000000−22−22−22−22
χ712-2-2-2-22222-22-2-22-2220000-22-2-22-22-22-22-2-222-22000000-22-22-22-220000000000000000000000000000000000000000000000002−22−2−22−22
χ722-2-2-2-22222-22-2-22-2220000-22-2-22-22-22-22-2-222-22000000-22-22-22-22000000000000000000000000000000000000000000000000−22−222−22−2
χ732-2-2-2-2222-22-222-22-220000-22-2-2-22-22-22-22-222-220000002-22-2-22-220000000000000000000000000000000000000000000000002−2−222−2−22
χ742-2-2-2-2222-22-222-22-220000-22-2-2-22-22-22-22-222-220000002-22-2-22-22000000000000000000000000000000000000000000000000−222−2−222−2
χ752-2-2-2-2222-22-22-22-2220000-22-2-2-22-22-22-22-2222-2000000-22-222-22-20000000000000000000000000000000000000000000000002−2−22−222−2
χ762-2-2-2-2222-22-22-22-2220000-22-2-2-22-22-22-22-2222-2000000-22-222-22-2000000000000000000000000000000000000000000000000−222−22−2−22
χ77444-4-4-4-4400000000400004-44-400000000-4-440000004i−4i000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
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χ82444-4-4-4-4400000000-20000-22-222i3−2i3−2i32i3−2i32i32i3−2i322-2000000−4i4i000000000000000023−2323−232i−2i2i−2i0000000000000000000000000000000000000000
χ8344-44-4-44-400004-4-444000044-4400000000-4-4-4000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ8444-44-4-44-400004-4-44-20000-2-22-2−2i32i32i3−2i3−2i32i32i3−2i322200000000-222-2−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ8544-44-4-44-400004-4-44-20000-2-22-22i3−2i3−2i32i32i3−2i3−2i32i322200000000-222-22i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ8644-44-4-44-40000-444-44000044-4400000000-4-4-400000000-444-4000000000000000000000000000000000000000000000000000000000000
χ8744-44-4-44-40000-444-4-20000-2-22-2−2i32i32i3−2i3−2i32i32i3−2i3222000000002-2-222i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ8844-44-4-44-40000-444-4-20000-2-22-22i3−2i3−2i32i32i3−2i3−2i32i3222000000002-2-22−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ8944-4-444-4-444-4-40000-244-4-4-2222-2-2-2-22222-2-22004-4000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ9044-4-444-4-444-4-40000-2-4-444-2222-2-2-2-22222-2-2200-4400000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ9144-4-444-4-4-4-4440000-244-4-4-22222222-2-2-2-2-2-2200-44000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ9244-4-444-4-4-4-4440000-2-4-444-22222222-2-2-2-2-2-22004-400000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ934-444-44-4-44-4-44000040000-4-4444-44-4-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-44-4-44-4-440000-2000022-2-2-22-222-22-22-2200000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ954-444-44-4-44-4-440000-2000022-2-2-22-222-22-22-22000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ964-444-44-4-4-444-4000040000-4-444-44-444-44-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ974-444-44-4-4-444-40000-2000022-2-22-22-2-22-222-2200000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ984-444-44-4-4-444-40000-2000022-2-22-22-2-22-222-22000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000
χ994-4-444-4-440000000044-4-44-4-4-44000000004-4400000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44000000004-444-4-4-4-44000000004-440000000000000000-444-40000000000000000000000000000000000000000000000000000
χ1014-4-444-4-4400000000-24-4-44222-2−2i3−2i32i32i32i32i3−2i3−2i3-22-20000000000000000-222-2−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1024-4-444-4-4400000000-24-4-44222-22i32i3−2i3−2i3−2i3−2i32i32i3-22-20000000000000000-222-22i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1034-4-444-4-4400000000-2-444-4222-2−2i3−2i32i32i32i32i3−2i3−2i3-22-200000000000000002-2-222i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1044-4-444-4-4400000000-2-444-4222-22i32i3−2i3−2i3−2i3−2i32i32i3-22-200000000000000002-2-22−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1054-4-4-4-44444-44-44-44-4-200002-222-22-22-22-222-2-24-4000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4-44444-44-4-44-44-200002-222-22-22-22-222-2-2-440000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-44-444-44-4-200002-2222-22-22-22-22-2-2-44000000-22-222-22-200000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-44-44-44-44-200002-2222-22-22-22-22-2-24-40000002-22-2-22-2200000000000000000000000000000000000000000000000000000000

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