Finite Group Databasebeta

← Group #10750401

Character table — Group #10750401

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111111111111222222222222222244444444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222222222366666666666666644444444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111
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
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
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
χ25222222-2-2-22-2-2-2-2-22222222-2-2-2-2-22-2-22-20000000022-2-200000000000000002222-2-2-2-2002i−2i2i−2i0000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ26222222-2-2-22-2-2-2-2-22222222-2-2-2-2-22-2-22-20000000022-2-200000000000000002222-2-2-2-200−2i2i−2i2i000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ27222222-2-2-22-2-2-2-2-22222222-2-2-2-2-22-2-22-200000000-2-2220000000000000000-2-2-2-22222002i−2i−2i2i0000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ28222222-2-2-22-2-2-2-2-22222222-2-2-2-2-22-2-22-200000000-2-2220000000000000000-2-2-2-2222200−2i2i2i−2i000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ29222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-110000000022-2-23333−3−3−3−33333−3−3−3−3-1-1-1-11111002i−2i2i−2i00−i3−i3i3i3−i−iii−i−iii−i3−i3i3i30000000000000000
χ30222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-110000000022-2-23333−3−3−3−33333−3−3−3−3-1-1-1-1111100−2i2i−2i2i00i3i3−i3−i3ii−i−iii−i−ii3i3−i3−i30000000000000000
χ31222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-110000000022-2-2−3−3−3−33333−3−3−3−33333-1-1-1-11111002i−2i2i−2i00i3i3−i3−i3−i−iii−i−iiii3i3−i3−i30000000000000000
χ32222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-110000000022-2-2−3−3−3−33333−3−3−3−33333-1-1-1-1111100−2i2i−2i2i00−i3−i3i3i3ii−i−iii−i−i−i3−i3i3i30000000000000000
χ33222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-1100000000-2-2223333−3−3−3−3−3−3−3−333331111-1-1-1-1002i−2i−2i2i00i3i3−i3−i3−i−iiiii−i−i−i3−i3i3i30000000000000000
χ34222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-1100000000-2-2223333−3−3−3−3−3−3−3−333331111-1-1-1-100−2i2i2i−2i00−i3−i3i3i3ii−i−i−i−iiii3i3−i3−i30000000000000000
χ35222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-1100000000-2-222−3−3−3−333333333−3−3−3−31111-1-1-1-1002i−2i−2i2i00−i3−i3i3i3−i−iiiii−i−ii3i3−i3−i30000000000000000
χ36222222-2-2-22-2-2-2-2-22-1-1-1-1-1-111111-111-1100000000-2-222−3−3−3−333333333−3−3−3−31111-1-1-1-100−2i2i2i−2i00i3i3−i3−i3ii−i−i−i−iii−i3−i3i3i30000000000000000
χ372222-2-22-2-2-22-222-2-22222-2-222-2-2-2-22-2-222i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002-22i−2i0000
χ382222-2-22-2-2-22-222-2-22222-2-222-2-2-2-22-2-222i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000-22−2i2i0000
χ392222-2-22-2-2-22-222-2-22222-2-222-2-2-2-22-2-22−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002-2−2i2i0000
χ402222-2-22-2-2-22-222-2-22222-2-222-2-2-2-22-2-22−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000-222i−2i0000
χ4122-2-222-22-2-22-22-22-222-2-222-2-222-2-22-2-222i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000002i−2i2-200000000
χ4222-2-222-22-2-22-22-22-222-2-222-2-222-2-22-2-222i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000−2i2i-2200000000
χ4322-2-222-22-2-22-22-22-222-2-222-2-222-2-22-2-22−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000002i−2i-2200000000
χ4422-2-222-22-2-22-22-22-222-2-222-2-222-2-22-2-22−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000−2i2i2-200000000
χ4522-2-2-2-222-22-2-2-222222-2-2-2-22222-22-2-22-2000000002-22-2000000000000000022-2-222-2-22-200002-22-22-2000000002-22-20000000000000000
χ4622-2-2-2-222-22-2-2-222222-2-2-2-22222-22-2-22-2000000002-22-2000000000000000022-2-222-2-2-220000-22-22-2200000000-22-220000000000000000
χ4722-2-2-2-222-22-2-2-222222-2-2-2-22222-22-2-22-200000000-22-220000000000000000-2-222-2-2222-20000-222-22-200000000-22-220000000000000000
χ4822-2-2-2-222-22-2-2-222222-2-2-2-22222-22-2-22-200000000-22-220000000000000000-2-222-2-222-2200002-2-22-22000000002-22-20000000000000000
χ4922-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-11000000002-22-23−3−33−333−333−3−333−3−3-1-111-1-1112-200002-2-11-113−33−33−33−3-11-110000000000000000
χ5022-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-11000000002-22-23−3−33−333−333−3−333−3−3-1-111-1-111-220000-221-11-1−33−33−33−331-11-10000000000000000
χ5122-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-11000000002-22-2−333−33−3−33−3−333−3−333-1-111-1-1112-200002-2-11-11−33−33−33−33-11-110000000000000000
χ5222-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-11000000002-22-2−333−33−3−33−3−333−3−333-1-111-1-111-220000-221-11-13−33−33−33−31-11-10000000000000000
χ5322-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-1100000000-22-223−3−33−333−3−3−333−3−33311-1-111-1-12-20000-22-11-11−33−333−33−31-11-10000000000000000
χ5422-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-1100000000-22-223−3−33−333−3−3−333−3−33311-1-111-1-1-2200002-21-11-13−33−3−33−33-11-110000000000000000
χ5522-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-1100000000-22-22−333−33−3−3333−3−333−3−311-1-111-1-12-20000-22-11-113−33−3−33−331-11-10000000000000000
χ5622-2-2-2-222-22-2-2-2222-1-11111-1-1-1-11-111-1100000000-22-22−333−33−3−3333−3−333−3−311-1-111-1-1-2200002-21-11-1−33−333−33−3-11-110000000000000000
χ5722-2-2-2-2-2-222222-2-2222-2-2-2-2-2-2-2-22222222-2-2222-2-22-2-222-2-222-2-2222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ5822-2-2-2-2-2-222222-2-2222-2-2-2-2-2-2-2-22222222-2-22-2-222-222-22-2-222-2-22-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000
χ5922-2-2-2-2-2-222222-2-2222-2-2-2-2-2-2-2-2222222-222-222-2-2-222-2-222-2-222-222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ6022-2-2-2-2-2-222222-2-2222-2-2-2-2-2-2-2-2222222-222-2-2-2222-2-22-222-2-222-2-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000
χ6122-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-12-2-2222-2-22-2-22-111-1-111-1-1-11111-1-1-1-11111-1-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ6222-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-12-2-2222-2-22-2-22-111-1-111-1-1-11111-1-1-1-11111-1-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ6322-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-12-2-22-2-222-222-2-111-1-111-111-1-1-1-11111-1-1-1-11100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ6422-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-12-2-22-2-222-222-2-111-1-111-111-1-1-1-11111-1-1-1-11100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ6522-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-1-222-222-2-2-222-21-1-111-1-11-1-11111-1-111-1-1-1-11100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ6622-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-1-222-222-2-2-222-21-1-111-1-11-1-11111-1-111-1-1-1-11100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ6722-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-1-222-2-2-2222-2-221-1-111-1-1111-1-1-1-111-1-11111-1-100000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ6822-2-2-2-2-2-222222-2-22-1-111111111-1-1-1-1-1-1-222-2-2-2222-2-221-1-111-1-1111-1-1-1-111-1-11111-1-100000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ692-22-22-22-2-2-2-222-2222-22-22-22-22-2-2-2-222200002-22-20000000000002-22-22-22-2000000000000000000000000000000002-20000000000002-2
χ702-22-22-22-2-2-2-222-2222-22-22-22-22-2-2-2-222200002-22-20000000000002-22-22-22-200000000000000000000000000000000-22000000000000-22
χ712-22-22-22-2-2-2-222-2222-22-22-22-22-2-2-2-22220000-22-22000000000000-22-22-22-22000000000000000000000000000000002-2000000000000-22
χ722-22-22-22-2-2-2-222-2222-22-22-22-22-2-2-2-22220000-22-22000000000000-22-22-22-2200000000000000000000000000000000-220000000000002-2
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χ752-2-22-22-22-2-2-2222-222-2-22-22-22-22-2-2-22220000-222-2000000000000-222-22-2-2200000000000000000000000000000000002-200000000-2200
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χ784444-4-44-4-4-44-444-4-4-2-2-2-222-2-22222-222-2−4i−4i4i4i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
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χ894-44-44-4-444-44-4-44-444-44-44-4-44-444-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-44-4-444-44-4-44-44-22-22-222-22-2-22-22-220000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000000000
χ914-44-44-4-444-44-4-44-44-22-22-222-22-2-22-22-2200000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000000000
χ924-44-4-444444-4-44-4-4-44-44-4-444-4-4444-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-444444-4-44-4-4-4-22-222-2-222-2-2-2222-2000000000000000000000000000023−2323−2323−2323−230000000000000000000000000000000000000000
χ944-44-4-444444-4-44-4-4-4-22-222-2-222-2-2-2222-20000000000000000000000000000−2323−2323−2323−23230000000000000000000000000000000000000000
χ954-44-4-44-4-4-4444-444-44-44-4-44-444-4-4444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-4-4-4444-444-4-22-222-22-2-222-2-2-222000000000000000000000000000023−2323−23−2323−23230000000000000000000000000000000000000000
χ974-44-4-44-4-4-4444-444-4-22-222-22-2-222-2-2-2220000000000000000000000000000−2323−232323−2323−230000000000000000000000000000000000000000
χ984-4-444-444-4444-4-4-4-44-4-444-44-4-44-4444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-444-4444-4-4-4-4-222-2-22-222-22-2-2-222000000000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ1004-4-444-444-4444-4-4-4-4-222-2-22-222-22-2-2-2220000000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ1014-4-444-4-4-444-4-4444-44-4-444-4-444-444-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-4-4-444-4-4444-4-222-2-222-2-22-2-2222-2000000000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ1034-4-444-4-4-444-4-4444-4-222-2-222-2-22-2-2222-20000000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000
χ1044-4-44-444-44-44-4-4-4444-4-44-444-44-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-444-44-44-4-4-444-222-22-2-22-22-22-22-220000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000000000
χ1064-4-44-444-44-44-4-4-444-222-22-2-22-22-22-22-2200000000000000000000−232323−23−232323−23000000000000000000000000000000000000000000000000
χ1074-4-44-44-44-4-4-4444-44-222-22-22-22-2222-2-2-200004-4-44000000000000-222-22-2-22000000000000000000000000000000000000000000000000
χ1084-4-44-44-44-4-4-4444-44-222-22-22-22-2222-2-2-20000-444-40000000000002-2-22-222-2000000000000000000000000000000000000000000000000

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