Finite Group Databasebeta

← Group #10693539

Character table — Group #10693539

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
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χ111-111-11-1-1111-1-1-111-1-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-111-1-1-1-1iiiiiiii−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
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χ131-111-11-1-1111-1-1-111-1-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-111-1-1-1-1−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
χ141-111-11-1-1111-1-1-111-1-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-111-1-1-1-1−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
χ151-111-11-1-1111-1-1-111-1-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-111-1-1-1-1−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
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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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χ884-44-4-4-44440404-40-40-4444-4-4-40000000000000000-440000004-40000000000000000000000000000000000000000000000000000
χ894-44-4-4-444-20404-40-402-2-2-222200000000000000002-2000000-220000−2i32i3−2i32i300002i3−2i32i3−2i3000000000000000000000000000000000000
χ904-44-4-4-444-20404-40-402-2-2-222200000000000000002-2000000-2200002i3−2i32i3−2i30000−2i32i3−2i32i3000000000000000000000000000000000000
χ914-44-4-4-444-20-40-440402-2-2-222244-4-4-4-44400000000-220000002-2-2-222000022-2-20000000000000000000000000000000000000000
χ924-44-4-4-444-20-40-440402-2-2-2222-4-44444-4-400000000-220000002-222-2-20000-2-2220000000000000000000000000000000000000000
χ934-4-444-4-44-240-400-40422-22-2-22−2i22i2−2i22i22i2−2i22i2−2i200−2i22i22i2−2i2-22002-2000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2000000000000000000000000000000000000
χ944-4-444-4-44-240-400-40422-22-2-222i2−2i22i2−2i2−2i22i2−2i22i2002i2−2i2−2i22i2-22002-2000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ954-4-444-4-44-2-4040040-422-22-2-22−2i22i2−2i22i22i2−2i22i2−2i2002i2−2i2−2i22i22-200-22000000i2−i2i2−i2−i2−i2i2i2−i2i2−i2i2i2i2−i2−i2000000000000000000000000000000000000
χ964-4-444-4-44-2-4040040-422-22-2-222i2−2i22i2−2i2−2i22i2−2i22i200−2i22i22i2−2i22-200-22000000−i2i2−i2i2i2i2−i2−i2i2−i2i2−i2−i2−i2i2i2000000000000000000000000000000000000
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
χ994-4-4-4444-4-2000000002-2222-2-222−22−2222−222222−22000000000000−2i32i32i3−2i300−222−2i6−i6−i6i62−2−22−i6i6i6−i6000000000000000000000000000000000000
χ1004-4-4-4444-4-2000000002-2222-2-222−22−2222−222222−220000000000002i3−2i3−2i32i300−222−2−i6i6i6−i62−2−22i6−i6−i6i6000000000000000000000000000000000000
χ1014-4-4-4444-4-2000000002-2222-2-2−222222−2222−22−2222000000000000−2i32i32i3−2i3002−2−22−i6i6i6−i6−222−2i6−i6−i6i6000000000000000000000000000000000000
χ1024-4-4-4444-4-2000000002-2222-2-2−222222−2222−22−22220000000000002i3−2i3−2i32i3002−2−22i6−i6−i6i6−222−2−i6i6i6−i6000000000000000000000000000000000000

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