Finite Group Databasebeta

← Group #10694807

Character table — Group #10694807

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order12222234444444466688888888121212124466888812121212121212121212242424242424242424242424242424248888888888888888888824242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i1-11-1
χ10111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-11-11
χ11111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−iii−i−i-11-11
χ12111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii−i−iii1-11-1
χ13111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii1-1-11
χ14111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-111-1
χ15111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-111-1
χ16111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i1-1-11
χ172222222-2-22222-2-2222000000002222-2-2220000-2-222-2-2-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ182222222-2-22222-2-2222000000002222-2-2220000-2-222-2-2-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ192222222-2-2-2-2-2-22222200000000-2-2-2-2-22220000-2-2-2-22222-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ202222222-2-2-2-2-2-22222200000000-2-2-2-2-22220000-2-2-2-22222-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ21222222-122222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ22222222-122222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ23222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ24222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ25222222-122-2-2-2-2-2-2-1-1-12222-2-2-2-211112-2-1-122-2-2-1-1111111-1-1-1-1-1-1-1-1-1-11111111100000000000000002i−2i2i−2i−i−iii−i−iii0000
χ26222222-122-2-2-2-2-2-2-1-1-12222-2-2-2-211112-2-1-122-2-2-1-1111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ27222222-122-2-2-2-2-2-2-1-1-1-2-2-2-2222211112-2-1-1-2-222-1-1111111-1-111111111-1-1-1-1-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ28222222-122-2-2-2-2-2-2-1-1-1-2-2-2-2222211112-2-1-1-2-222-1-1111111-1-111111111-1-1-1-1-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ292222-2-222222-2-2-2-22222222-2-2-2-22222-22-2-2-2-222-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ302222-2-222222-2-2-2-2222-2-2-2-222222222-22-2-222-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ312222-2-2222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ322222-2-2222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ332222-2-22-2-222-2-2222220000000022222-2-2-2000022-2-2-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000
χ342222-2-22-2-222-2-2222220000000022222-2-2-2000022-2-2-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
χ352222-2-22-2-2-2-222-2-222200000000-2-2-2-222-2-20000222222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ362222-2-22-2-2-2-222-2-222200000000-2-2-2-222-2-20000222222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ372222-2-2-12222-2-2-2-2-1-1-12222-2-2-2-2-1-1-1-1-2211-2-2221111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ382222-2-2-12222-2-2-2-2-1-1-12222-2-2-2-2-1-1-1-1-2211-2-2221111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ392222-2-2-12222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-221122-2-21111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ402222-2-2-12222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-221122-2-21111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ412222-2-2-122-2-22222-1-1-1222222221111-2-211-2-2-2-211-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000003−3−333−3−330000
χ422222-2-2-122-2-22222-1-1-1222222221111-2-211-2-2-2-211-1-111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−333−3−333−30000
χ432222-2-2-122-2-22222-1-1-1-2-2-2-2-2-2-2-21111-2-211222211-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000003−3−33−333−30000
χ442222-2-2-122-2-22222-1-1-1-2-2-2-2-2-2-2-21111-2-211222211-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−333−33−3−330000
χ4522-2-22-22002-22-2002-2-2−i2−i2i2i2−i2−i2i2i222-2-2002-2−i2i2−i2i2002-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22−22−22−22−2002i−2i002i−2i0000000000000000
χ4622-2-22-22002-22-2002-2-2−i2−i2i2i2−i2−i2i2i222-2-2002-2−i2i2−i2i2002-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−22−22−22−2200−2i2i00−2i2i0000000000000000
χ4722-2-22-22002-22-2002-2-2i2i2−i2−i2i2i2−i2−i222-2-2002-2i2−i2i2−i2002-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22−22−22−22−200−2i2i00−2i2i0000000000000000
χ4822-2-22-22002-22-2002-2-2i2i2−i2−i2i2i2−i2−i222-2-2002-2i2−i2i2−i2002-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−22−22−22−22002i−2i002i−2i0000000000000000
χ4922-2-22-2200-22-22002-2-2−i2−i2i2i2i2i2−i2−i2-2-222002-2−i2i2i2−i200-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2i2−i2i2−i2002-200-220000000000000000
χ5022-2-22-2200-22-22002-2-2−i2−i2i2i2i2i2−i2−i2-2-222002-2−i2i2i2−i200-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2−i2i2−i2i200-22002-20000000000000000
χ5122-2-22-2200-22-22002-2-2i2i2−i2−i2−i2−i2i2i2-2-222002-2i2−i2−i2i200-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2i2−i2i2−i200-22002-20000000000000000
χ5222-2-22-2200-22-22002-2-2i2i2−i2−i2−i2−i2i2i2-2-222002-2i2−i2−i2i200-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2−i2i2−i2i2002-200-220000000000000000
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χ5422-2-2-222002-2-22002-2-2−i2−i2i2i2i2i2−i2−i222-2-200-22i2−i2−i2i200-22000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−222−2−222−2−2i2i00−2i2i000000000000000000
χ5522-2-2-222002-2-22002-2-2i2i2−i2−i2−i2−i2i2i222-2-200-22−i2i2i2−i200-22000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22−2−222−2−22−2i2i00−2i2i000000000000000000
χ5622-2-2-222002-2-22002-2-2i2i2−i2−i2−i2−i2i2i222-2-200-22−i2i2i2−i200-22000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−222−2−222−22i−2i002i−2i000000000000000000
χ5722-2-2-22200-222-2002-2-2−i2−i2i2i2−i2−i2i2i2-2-22200-22i2−i2i2−i2002-2000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i2i2−i2−i2i22-200-22000000000000000000
χ5822-2-2-22200-222-2002-2-2−i2−i2i2i2−i2−i2i2i2-2-22200-22i2−i2i2−i2002-2000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i2−i2i2i2−i2-22002-2000000000000000000
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χ6844-4-44-4-200-44-4400-2222i22i2−2i2−2i2−2i2−2i22i22i222-2-200-222i2−2i2−2i22i2002-2000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
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χ914-4-4400-20000004-422-2−222222−22−222222−2223−23−23230000000023−230000-22002−2−226−6−666−6−662−2−2200000000000000000000000000000000
χ924-4-4400-20000004-422-2−222222−22−222222−22−232323−2300000000−23230000-22002−2−22−666−6−666−62−2−2200000000000000000000000000000000
χ934-4-4400-2000000-4422-222−22−2222−222222−2223−23−232300000000−232300002-200−222−26−6−66−666−62−2−2200000000000000000000000000000000
χ944-4-4400-2000000-4422-222−22−2222−222222−22−232323−230000000023−2300002-200−222−2−666−66−6−662−2−2200000000000000000000000000000000
χ954-4-4400-2000000-4422-2−222222−2222−22−222223−23−232300000000−232300002-2002−2−22−666−66−6−66−222−200000000000000000000000000000000
χ964-4-4400-2000000-4422-2−222222−2222−22−2222−232323−230000000023−2300002-2002−2−226−6−66−666−6−222−200000000000000000000000000000000

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