Finite Group Databasebeta

← Group #10693532

Character table — Group #10693532

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
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1
χ91-1-1111-1-1111-1-1-111-1-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-11-1i−iii−i−i11-1-1ii−i−i11-1-1
χ101-1-1111-1-1111-1-1-111-1-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-1-11−ii−i−iii-1-111−i−iii-1-111
χ111-1-1111-1-1111-1-1-111-1-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-111111-1i−iii−i−i11-1-1−i−iii-1-111
χ121-1-1111-1-1111-1-1-111-1-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-11111-11−ii−i−iii-1-111ii−i−i11-1-1
χ131-1-1111-1-1111-1-1-111-1-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-1-1-1-111111-1−ii−i−iii11-1-1ii−i−i-1-111
χ141-1-1111-1-1111-1-1-111-1-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-1-1-1-11111-11i−iii−i−i-1-111−i−iii11-1-1
χ151-1-1111-1-1111-1-1-111-1-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1111-1-1-1-11-1−ii−i−iii11-1-1−i−iii11-1-1
χ161-1-1111-1-1111-1-1-111-1-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1111-1-1-1-1-11i−iii−i−i-1-111ii−i−i-1-111
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χ182222222222-2-2222-2-22222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ19222222222-222-2-2-222222222200000000-2-20000-2-2-2-2-2-22222-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ20222222222-222-2-2-222222222200000000-2-20000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222220000000000000000000000000000
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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
χ2522222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-21111-1-1-1-100000000
χ2622222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-222-1-1-1-1111100000000
χ2722222222-12-2-2222-2-2-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2822222222-12-2-2222-2-2-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
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χ3022222222-12-2-2222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ312222-2-2-2-222002-2-20022-22-2-2-222-2-222-2-20000002-2000000002-222-2-2000022-2-2000000000000000000000000000000002−22−22−22−2
χ322222-2-2-2-222002-2-20022-22-2-2-222-2-222-2-20000002-2000000002-222-2-2000022-2-200000000000000000000000000000000−22−22−22−22
χ332222-2-2-2-222002-2-20022-22-2-2-2-2-222-2-2220000002-2000000002-2-2-2220000-2-222000000000000000000000000000000002−22−2−22−22
χ342222-2-2-2-222002-2-20022-22-2-2-2-2-222-2-2220000002-2000000002-2-2-2220000-2-22200000000000000000000000000000000−22−222−22−2
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χ432-22-2-22-222022000-2-2-22-2-2-2222−22−2−22−22002−2−220000002-2-22002−22−222−2−2−22−22−2−2222i−2i−2i2i0000−i2i2−i2i2i2−i2i2−i200000000000000000000
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χ472-22-2-22-2220-2-200022-22-2-2-2222−22−2−22−2200−222−2000000-222-2002−22−2−2−222−22−2222−2−200002-2-22−222−22−2−2200000000000000000000
χ482-22-2-22-2220-2-200022-22-2-2-2222−22−2−22−2200−222−2000000-222-2002−22−2−2−222−22−2222−2−20000-222-22−2−22−222−200000000000000000000
χ492-22-2-22-2220-2-200022-22-2-2-222−22−222−22−2002−2−22000000-222-200−22−2222−2−22−22−2−2−22200002-2-222−2−22−222−200000000000000000000
χ502-22-2-22-2220-2-200022-22-2-2-222−22−222−22−2002−2−22000000-222-200−22−2222−2−22−22−2−2−2220000-222-2−222−22−2−2200000000000000000000
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χ562-2-2222-2-22-2-2222-2-22-2-2-222-22000000002-20000-2-222-2-2-2-22222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ572-2-2222-2-2-122-2-2-222-2111-1-11-12i2i2i2i−2i−2i−2i−2i2-22i2i−2i−2i-1-1-1-111-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000002-22i−2i−i−iii-1-11100000000
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χ864-44-44-44-4400000000-444-44-4-422−22−2222−222222−2200000000000000000022−22−22220000−222222−220000000000000000000000000000000000000000
χ874-44-44-44-4400000000-444-44-4-4−222222−2222−22−2222000000000000000000−222222−22000022−22−22220000000000000000000000000000000000000000
χ884-44-44-44-4-2000000002-2-22-22222−22−2222−222222−2200000000−2i32i32i3−2i3000000−222−2i6−i6−i6i62−2−22−i6i6i6−i6000000000000000000000000000000000000
χ894-44-44-44-4-2000000002-2-22-22222−22−2222−222222−22000000002i3−2i3−2i32i3000000−222−2−i6i6i6−i62−2−22i6−i6−i6i6000000000000000000000000000000000000
χ904-44-44-44-4-2000000002-2-22-222−222222−2222−22−222200000000−2i32i32i3−2i30000002−2−22−i6i6i6−i6−222−2i6−i6−i6i6000000000000000000000000000000000000
χ914-44-44-44-4-2000000002-2-22-222−222222−2222−22−2222000000002i3−2i3−2i32i30000002−2−22i6−i6−i6i6−222−2−i6i6i6−i6000000000000000000000000000000000000
χ924-44-4-44-44-2044000-4-42-2222-2-222−2222−22−2222−22220022−22−2222000000-222-200−22−22−2−2222−22−222−2−2000000000000000000000000000000000000
χ934-44-4-44-44-2044000-4-42-2222-2-2−2222−222222−2222−2200−222222−22000000-222-2002−22−222−2−2−22−22−2−222000000000000000000000000000000000000
χ944-44-4-44-44-20-4-4000442-2222-2-222−2222−22−2222−222200−222222−220000002-2-2200−22−2222−2−22−22−2−2−222000000000000000000000000000000000000
χ954-44-4-44-44-20-4-4000442-2222-2-2−2222−222222−2222−220022−22−22220000002-2-22002−22−2−2−222−22−2222−2−2000000000000000000000000000000000000
χ964-4-4444-4-4-2-44-444-44-4222-2-22-200000000-4400002222-2-2-2-222-2-20000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-4-4444-4-44222-2-22-2000000004-4000022-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ984-4-44-4-4444-4004-4400-4-444-44-400000000000000-44000000004-40000000000000000000000000000000000000000000000000000
χ994-4-44-4-444-2400-44-40022-2-22-224i4i−4i−4i−4i−4i4i4i000000-22000000002-2−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ1004-4-44-4-444-2400-44-40022-2-22-22−4i−4i4i4i4i4i−4i−4i000000-22000000002-22i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ1014-4-44-4-444-2-4004-440022-2-22-22000000000000002-200000000-22000023−2323−230000−2323−2323000000000000000000000000000000000000
χ1024-4-44-4-444-2-4004-440022-2-22-22000000000000002-200000000-220000−2323−2323000023−2323−23000000000000000000000000000000000000

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