Finite Group Databasebeta

← Group #10693518

Character table — Group #10693518

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222344444444666666688888888448888121212121212121212121212242424242424242424242424242424244444444488888888224466661212121288888888
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
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χ101-1111-1-1-1111-1-1-111-1-1-1-1111-1iiii−i−i−i−i1-1ii−i−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii−i−iii-1-111
χ111-1111-1-1-1111-1-1-111-1-1-1-1111-1iiii−i−i−i−i1-1ii−i−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−i−i−iii-1-111
χ121-1111-1-1-1111-1-1-111-1-1-1-1111-1iiii−i−i−i−i1-1ii−i−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11−ii-1-111−i−iiiii−i−i11-1-1
χ131-1111-1-1-1111-1-1-111-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iiiii−i−i-1-111
χ141-1111-1-1-1111-1-1-111-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111-11i−i-1-111ii−i−i−i−iii11-1-1
χ151-1111-1-1-1111-1-1-111-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1
χ161-1111-1-1-1111-1-1-111-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−iii−i−i-1-111
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χ182222222222-22-2-22-22222222200000000-2-2000022-2-2-2-222-2-2-2-20000000000000000-2-222-2-2220000000000000000000000000000
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χ20222222222-22-222-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
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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
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χ3022222222-1-22-222-22-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211-1-1111111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
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χ8444-4-44-4-44-200000000-22-222-222i2−2i2−2i22i22i2−2i2−2i22i20000000000−2i32i300−2i32i300−i2i2i2−i2−666−6−i2i2i2−i2−666−6000000000000000000000000000000000000
χ8544-4-44-4-44-200000000-22-222-222i2−2i2−2i22i22i2−2i2−2i22i200000000002i3−2i3002i3−2i300−i2i2i2−i26−6−66−i2i2i2−i26−6−66000000000000000000000000000000000000
χ864-4444-4-4-4-24-4-4444-4-4222-2-2-2200000000-440000-2-2222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ874-4444-4-4-4-2-4-4444-4-44222-2-2-22000000004-400002222-2-2-2-222-2-20000000000000000000000000000000000000000000000000000
χ884-44-4-4-44440-404-4040-4444-4-4-40000000000000000-440000004-40000000000000000000000000000000000000000000000000000
χ894-44-4-4-444-2040-440-402-2-2-22224i4i−4i−4i−4i−4i4i4i00000000-220000002-2−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ904-44-4-4-444-2040-440-402-2-2-2222−4i−4i4i4i4i4i−4i−4i00000000-220000002-22i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ914-44-4-4-444-20-404-40402-2-2-222200000000000000002-2000000-22000023−2323−230000−2323−2323000000000000000000000000000000000000
χ924-44-4-4-444-20-404-40402-2-2-222200000000000000002-2000000-220000−2323−2323000023−2323−23000000000000000000000000000000000000
χ934-4-44-44-44-240400-40-422-22-22-222−2222−22−2222−22220022−22−2222-2200002-20000−22−22−2−2222−22−222−2−2000000000000000000000000000000000000
χ944-4-44-44-44-240400-40-422-22-22-2−2222−222222−2222−2200−222222−22-2200002-200002−22−222−2−2−22−22−2−222000000000000000000000000000000000000
χ954-4-44-44-44-2-40-40040422-22-22-222−2222−22−2222−222200−222222−222-20000-220000−22−2222−2−22−22−2−2−222000000000000000000000000000000000000
χ964-4-44-44-44-2-40-40040422-22-22-2−2222−222222−2222−220022−22−22222-20000-2200002−22−2−2−222−22−2222−2−2000000000000000000000000000000000000
χ974-4-4-4444-4400000000-44-4-4-44422−22−2222−222222−2200000000000000000022−22−22220000−222222−220000000000000000000000000000000000000000
χ984-4-4-4444-4400000000-44-4-4-444−222222−2222−22−2222000000000000000000−222222−22000022−22−22220000000000000000000000000000000000000000
χ994-4-4-4444-4-2000000002-2222-2-222−22−2222−222222−220000000000−2i32i3002i3−2i300−222−2i6−i6−i6i62−2−22−i6i6i6−i6000000000000000000000000000000000000
χ1004-4-4-4444-4-2000000002-2222-2-222−22−2222−222222−2200000000002i3−2i300−2i32i300−222−2−i6i6i6−i62−2−22i6−i6−i6i6000000000000000000000000000000000000
χ1014-4-4-4444-4-2000000002-2222-2-2−222222−2222−22−22220000000000−2i32i3002i3−2i3002−2−22−i6i6i6−i6−222−2i6−i6−i6i6000000000000000000000000000000000000
χ1024-4-4-4444-4-2000000002-2222-2-2−222222−2222−22−222200000000002i3−2i300−2i32i3002−2−22i6−i6−i6i6−222−2−i6i6i6−i6000000000000000000000000000000000000

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