Finite Group Databasebeta

← Group #10691371

Character table — Group #10691371

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222344444444666666688888888448888121212121212121212121212242424242424242424242424242424242222444488888888224466661212121288888888
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
χ91-1-1-111-1111-111-11-1-1-1-1-1111-1iiii−i−i−i−i1-1ii−i−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ101-1-1-111-1111-111-11-1-1-1-1-1111-1iiii−i−i−i−i1-1ii−i−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-1-111−i−iii
χ111-1-1-111-1111-111-11-1-1-1-1-1111-1iiii−i−i−i−i1-1ii−i−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-1-111−i−iii
χ121-1-1-111-1111-111-11-1-1-1-1-1111-1iiii−i−i−i−i1-1ii−i−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiii-11−ii-1-111−i−iii11-1-1ii−i−i
χ131-1-1-111-1111-111-11-1-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ141-1-1-111-1111-111-11-1-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-1-111ii−i−i
χ151-1-1-111-1111-111-11-1-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111iiii−i−i−i−i1-1−ii11-1-1−i−iii-1-111ii−i−i
χ161-1-1-111-1111-111-11-1-1-1-1-1111-1−i−i−i−iiiii1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111iiii−i−i−i−i-11i−i-1-111ii−i−i11-1-1−i−iii
χ1722222222222-2-2-222-2222222200000000-2-2000022-2-2-2-222-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-222-2222222200000000-2-2000022-2-2-2-222-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222-2-2222-2-22222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2222-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
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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
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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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χ3022222222-1-2-2222-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211-1-1111111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
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χ462-22-2-2-2222002-2-2002-22-2-22-22-22-222-22-2000000002-2000000-22-22-2200002-22-200000000000000000000000000000000−222−2−222−2
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χ542-2-222-22-22-2-2000220-2-222-2-22−2−22222−2−2002−2−22-2200002-20000−2−22222−2−222−2−2−2−222-222-200002−2−22−222−200000000000000000000
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χ864-444-44-4-4400000000-444-4-44-4−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000−2i22i22i2−2i200002i2−2i2−2i22i20000000000000000000000000000000000000000
χ874-444-44-4-4400000000-444-4-44-42i2−2i2−2i22i2−2i22i22i2−2i20000000000000000002i2−2i2−2i22i20000−2i22i22i2−2i20000000000000000000000000000000000000000
χ884-444-44-4-4-2000000002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i20000000000−2i32i3002i3−2i300i2−i2−i2i26−6−66−i2i2i2−i2−666−6000000000000000000000000000000000000
χ894-444-44-4-4-2000000002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i200000000002i3−2i300−2i32i300i2−i2−i2i2−666−6−i2i2i2−i26−6−66000000000000000000000000000000000000
χ904-444-44-4-4-2000000002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i20000000000−2i32i3002i3−2i300−i2i2i2−i2−666−6i2−i2−i2i26−6−66000000000000000000000000000000000000
χ914-444-44-4-4-2000000002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i200000000002i3−2i300−2i32i300−i2i2i2−i26−6−66i2−i2−i2i2−666−6000000000000000000000000000000000000
χ924-44-4-4-444400-44400-4-44-4-44-440000000000000000-440000004-40000000000000000000000000000000000000000000000000000
χ934-44-4-4-444-2004-4-40042-222-22-24-44-4-44-4400000000-220000002-2-22-2200002-22-20000000000000000000000000000000000000000
χ944-44-4-4-444-2004-4-40042-222-22-2-44-444-44-400000000-220000002-22-22-20000-22-220000000000000000000000000000000000000000
χ954-44-4-4-444-200-44400-42-222-22-200000000000000002-2000000-220000−2i32i3−2i32i300002i3−2i32i3−2i3000000000000000000000000000000000000
χ964-44-4-4-444-200-44400-42-222-22-200000000000000002-2000000-2200002i3−2i32i3−2i30000−2i32i3−2i32i3000000000000000000000000000000000000
χ974-4-444-44-4-244000-4-4022-2-222-22222−22−22−22−2222220022−22−2222-2200002-20000−2−222−2−22222−2−222−2−2000000000000000000000000000000000000
χ984-4-444-44-4-244000-4-4022-2-222-2−22−2222222222−22−2200−222222−22-2200002-2000022−2−222−2−2−2−222−2−222000000000000000000000000000000000000
χ994-4-444-44-4-2-4-400044022-2-222-22222−22−22−22−22222200−222222−222-20000-220000−2−22222−2−222−2−2−2−222000000000000000000000000000000000000
χ1004-4-444-44-4-2-4-400044022-2-222-2−22−2222222222−22−220022−22−22222-20000-22000022−2−2−2−222−2−22222−2−2000000000000000000000000000000000000
χ1014-4-4-444-44-24-4-4-444-44222-2-2-2200000000-440000-2-2222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-44-4-44-444222-2-2-22000000004-400002222-2-2-2-222-2-20000000000000000000000000000000000000000000000000000

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