Finite Group Databasebeta

← Group #10693504

Character table — Group #10693504

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242444444444888888884444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91-111-11-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1i−i1-1ii−i−i11-1-111-1-1ii−i−i
χ101-111-11-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−ii-11−i−iii-1-111-1-111−i−iii
χ111-111-11-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111i−i1-1ii−i−i11-1-1-1-111−i−iii
χ121-111-11-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111−ii-11−i−iii-1-11111-1-1ii−i−i
χ131-111-11-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111i−i-11ii−i−i-1-11111-1-1−i−iii
χ141-111-11-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111−ii1-1−i−iii11-1-1-1-111ii−i−i
χ151-111-11-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1i−i-11ii−i−i-1-111-1-111ii−i−i
χ161-111-11-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1−ii1-1−i−iii11-1-111-1-1−i−iii
χ1722222222222-2-2-222-2222222200000000-2-2000022-2-222-2-2-2-2-2-2000000000000000022-2-222-2-20000000000000000000000000000
χ1822222222222-2-2-222-2222222200000000-2-2000022-2-222-2-2-2-2-2-20000000000000000-2-222-2-2220000000000000000000000000000
χ19222222222-2-2222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2222-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-2222222200000000220000-2-222-2-222-2-2-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
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χ2322222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2422222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2522222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ2622222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
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χ3022222222-1-2-2222-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ31222-2-2-22-2222000-2-2022-22-2-2-222−2−222−2−2002−22−22-2002-200000022−2−222−2−222−2−222−2−2002-2002-22−22−22−22−200000000000000000000
χ32222-2-2-22-2222000-2-2022-22-2-2-222−2−222−2−2002−22−22-2002-200000022−2−222−2−222−2−222−2−200-2200-22−22−22−22−2200000000000000000000
χ33222-2-2-22-2222000-2-2022-22-2-2-2−2−222−2−22200−22−222-2002-2000000−2−222−2−222−2−222−2−222002-2002-2−22−22−22−2200000000000000000000
χ34222-2-2-22-2222000-2-2022-22-2-2-2−2−222−2−22200−22−222-2002-2000000−2−222−2−222−2−222−2−22200-2200-222−22−22−22−200000000000000000000
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χ562-222-22-2-2-1-222-2-2-222111-1-11-1−2i−2i−2i−2i2i2i2i2i-222i2i−2i−2i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii00000000000000000000−333−3−i3i3i3−i300000000
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χ884-44-44-4-44-24-4000-44022-2-22-22−2i2−2i22i22i22i22i2−2i2−2i200−2i22i22i2−2i2-22002-2000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ894-44-44-4-44-24-4000-44022-2-22-222i22i2−2i2−2i2−2i2−2i22i22i2002i2−2i2−2i22i2-22002-2000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ904-44-44-4-44-2-440004-4022-2-22-22−2i2−2i22i22i22i22i2−2i2−2i2002i2−2i2−2i22i22-200-22000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000000000
χ914-44-44-4-44-2-440004-4022-2-22-222i22i2−2i2−2i2−2i2−2i22i22i200−2i22i22i2−2i22-200-22000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000000000
χ924-4-444-44-4400000000-44-4-444-4−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000−2i22i22i2−2i200002i2−2i2−2i22i20000000000000000000000000000000000000000
χ934-4-444-44-4400000000-44-4-444-42i2−2i2−2i22i2−2i22i22i2−2i20000000000000000002i2−2i2−2i22i20000−2i22i22i2−2i20000000000000000000000000000000000000000
χ944-4-444-44-4-2000000002-222-2-22−2i22i22i2−2i22i2−2i2−2i22i200000000−2i32i3002i3−2i30000i2−i2−i2i26−66−6−i2i2i2−i2−66−66000000000000000000000000000000000000
χ954-4-444-44-4-2000000002-222-2-22−2i22i22i2−2i22i2−2i2−2i22i2000000002i3−2i300−2i32i30000i2−i2−i2i2−66−66−i2i2i2−i26−66−6000000000000000000000000000000000000
χ964-4-444-44-4-2000000002-222-2-222i2−2i2−2i22i2−2i22i22i2−2i200000000−2i32i3002i3−2i30000−i2i2i2−i2−66−66i2−i2−i2i26−66−6000000000000000000000000000000000000
χ974-4-444-44-4-2000000002-222-2-222i2−2i2−2i22i2−2i22i22i2−2i2000000002i3−2i300−2i32i30000−i2i2i2−i26−66−6i2−i2−i2i2−66−66000000000000000000000000000000000000
χ984-4-4-4-4444400-44-4004-444-4-4-440000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-2004-4400-42-2-2222-24i−4i4i−4i−4i4i−4i4i00000000000000-222-2−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000000000000000
χ1004-4-4-4-4444-2004-4400-42-2-2222-2−4i4i−4i4i4i−4i4i−4i00000000000000-222-22i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000000000000000
χ1014-4-4-4-4444-200-44-40042-2-2222-200000000000000000000002-2-22000023−23−23230000−232323−23000000000000000000000000000000000000
χ1024-4-4-4-4444-200-44-40042-2-2222-200000000000000000000002-2-220000−232323−23000023−23−2323000000000000000000000000000000000000

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