Finite Group Databasebeta

← Group #10868459

Character table — Group #10868459

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222344444444666666612121212121212124444448888888812121212121212122424242424242424242424242424242422444466661212121212121212121212124444444444888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-111-11
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-11111-1-11-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-111-1-111-1-11-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-11-1-111-1-111-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-1111-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1-1-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1111-1
χ172222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ182222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000000000000000000000000022-2-2-220000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000000000000000000000000000-2-2222-20000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222221111-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-21111-1-1-1-11111-1-1-1-10000000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-222-1-1-1-11111-1-1-1-111110000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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χ4122-22-2-22-2-1−2i−2i2i2i2-2-22-11-11-111iiii−i−i−i−i−2i2i2i2i−2i−2i00000000-11ii−i−i-113333−3−3−3−3i3i3i3i3−i3−i3−i3−i3-22000011-1-1−i3−i3i3i3−3−333−i−iii0000000000000000
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χ4422-22-2-22-2-1−2i−2i2i2i2-2-22-11-11-111iiii−i−i−i−i−2i2i−2i−2i2i2i00000000-11ii−i−i-11−3−3−3−33333−i3−i3−i3−i3i3i3i3i32-20000-1-111−i3−i3i3i3−3−333ii−i−i0000000000000000
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χ502-2222-2-2-22−2i2i−2i2i0000-22-222-2-2−2i−2i2i2i−2i−2i2i2i000000−i2−i2i2i2−2−22200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000000000−2i2i2-2000000−i2i2−2200
χ512-2222-2-2-22−2i2i−2i2i0000-22-222-2-2−2i−2i2i2i−2i−2i2i2i000000i2i2−i2−i222−2−200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000000000000000002i−2i-22000000−i2i2−2200
χ522-2222-2-2-22−2i2i−2i2i0000-22-222-2-2−2i−2i2i2i−2i−2i2i2i000000i2i2−i2−i222−2−200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000000000−2i2i2-2000000i2−i22−200
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χ582-22-2-222-2-100002-22-211-1-111-1−i3i3−i3i3−i3i3−i3i3002-22-20000−2i2i−2i2i-1-1−i3i3−i3i311−33−33−33−33i−ii−ii−ii−i0000−2i2i−i3i3−i3i3−33−33i−ii−i-11-110000000000000000
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χ652-2-2-22-2222000022-2-2-222-2-22-200000000002i−2i−2i2i2-22-200002-20000-222-22-2-22-2200000000002i−2i000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
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χ944-4444-4-4-4-24i−4i4i−4i00002-22-2-222−2i−2i2i2i−2i−2i2i2i0000002i22i2−2i2−2i2−22−22222200000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000000000000000000000000000000000
χ954-4444-4-4-4-2−4i4i−4i4i00002-22-2-2222i2i−2i−2i2i2i−2i−2i000000−2i2−2i22i22i2−22−22222200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000000000000000000000000000000000
χ964-4444-4-4-4-2−4i4i−4i4i00002-22-2-2222i2i−2i−2i2i2i−2i−2i0000002i22i2−2i2−2i22222−22−2200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000000000000000000000000000000000
χ974-44-4-444-440000-44-44-4-444-4-440000000000000000000000-4-4000044000000000000000000000000000000000000000000000000000000
χ984-44-4-444-4-20000-44-4422-2-222-2−2i32i3−2i32i3−2i32i3−2i32i300000000000000222i3−2i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000
χ994-44-4-444-4-20000-44-4422-2-222-22i3−2i32i3−2i32i3−2i32i3−2i30000000000000022−2i32i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000
χ1004-4-44-44-4444-4-440000-4-4-4-444444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-444-444-40000-4-4-4-4444-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1034-4-44-44-44-24-4-4400002222-2-2-2-2-22222-2-20000000000000000000000−i6−i6i6i6i6i6−i6−i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ1044-4-44-44-44-2-444-400002222-2-2-222-2-2-2-2220000000000000000000000i6i6−i6−i6−i6−i6i6i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ1054-4-44-44-44-2-444-400002222-2-2-222-2-2-2-2220000000000000000000000−i6−i6i6i6i6i6−i6−i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000000000
χ1064-4-4-44-44440000-4-444-444-4-44-40000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-20000-4-4442-2-222-2223−2323−23−2323−2323000000000000002-2−232323−23-22000000000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-20000-4-4442-2-222-22−2323−232323−2323−23000000000000002-223−23−2323-22000000000000000000000000000000000000000000000000000000

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