Finite Group Databasebeta

← Group #10877425

Character table — Group #10877425

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222222234444666666688888888446666888812121212121212122424242424242424242424242424242444444444888888884444121212121212121244444444
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-11111-1-1-1-1
χ911111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1
χ1011111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-111-11111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1-11-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-1-1-111
χ172222222222222-2-2-2-2222222200000000-2-222220000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ182222222222222-2-2-2-2222222200000000-2-222220000-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ20222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ21222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-11111-1-100000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-1-1-11100000000
χ2322222222-2-2-2-22-2-2-2-222222220000000022-2-2-2-20000-2-2-22222-2000000000000000022-2-2-2-2220000000000000000000000000000
χ2422222222-2-2-2-22-2-2-2-222222220000000022-2-2-2-20000-2-2-22222-20000000000000000-2-22222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-12222-1-1-1-1-1-1-122222222-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111000000000000000022-2-211-1-111-1-100000000
χ2622222222-2-2-2-2-12222-1-1-1-1-1-1-122222222-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000000000000000-2-222-1-111-1-11100000000
χ2722222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000000000002-2-221111-1-1-1-100000000
χ2822222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-10000000000000000-222-2-1-1-1-1111100000000
χ292222-2-2-2-222-2-220000222-2-2-2-22222−2−2−2−20022-2-222−2−2000000002222−2−2−2−22222−2−2−2−22-22-2000022−2−222−2−200000000000000000000
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χ322222-2-2-2-222-2-220000222-2-2-2-2−2−2−2−222220022-2-2−2−22200000000−2−2−2−22222−2−2−2−22222-22-22000022−2−222−2−200000000000000000000
χ332222-2-2-2-2-2-22220000222-2-2-2-22222−2−2−2−200-2-222−2−222000000002222−2−2−2−2−2−2−2−222222-2-22000022−2−2−2−22200000000000000000000
χ342222-2-2-2-2-2-22220000222-2-2-2-22222−2−2−2−200-2-222−2−222000000002222−2−2−2−2−2−2−2−22222-222-20000−2−22222−2−200000000000000000000
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χ362222-2-2-2-2-2-22220000222-2-2-2-2−2−2−2−2222200-2-22222−2−200000000−2−2−2−222222222−2−2−2−2-222-2000022−2−2−2−22200000000000000000000
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χ4322-2-22-22-22-22-2-1-2-222-111-111-1−2i−2i2i2i−2i−2i2i2i-22-11-11−2i2i−2i2i1-1-111-1-11ii−i−iii−i−iii−i−iii−i−i00000000000000000000−i3i3−33−33−i3i300000000
χ4422-2-22-22-22-22-2-1-2-222-111-111-1−2i−2i2i2i−2i−2i2i2i-22-11-11−2i2i−2i2i1-1-111-1-11ii−i−iii−i−iii−i−iii−i−i00000000000000000000i3−i33−33−3i3−i300000000
χ4522-2-22-22-2-22-22222-2-22-2-22-2-2200000000-22-22-2200002-2-2-2-22220000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
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χ4922-2-22-22-2-22-22-1-2-222-111-111-12i2i−2i−2i2i2i−2i−2i2-21-11-1−2i2i−2i2i1-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i00000000000000000000−i3i3−333−3i3−i300000000
χ5022-2-22-22-2-22-22-1-2-222-111-111-12i2i−2i−2i2i2i−2i−2i2-21-11-1−2i2i−2i2i1-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i00000000000000000000i3−i33−3−33−i3i300000000
χ5122-2-22-22-2-22-22-1-2-222-111-111-1−2i−2i2i2i−2i−2i2i2i2-21-11-12i−2i2i−2i1-1-1-1-1111ii−i−iii−i−i−i−iii−i−iii00000000000000000000−i3i33−3−33i3−i300000000
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χ914-44-4-4-4440000-200002-22-22-22−2222−222222−2222−220000000000000−2323−232302−22−2−22−226−66−6−66−66000000000000000000000000000000000000
χ924-4-444-4-4400004-44-44-4-44-4-444000000000000000000-4-44000040000000000000000000000000000000000000000000000000000
χ934-4-444-4-440000-24-44-422-222-2-24i−4i−4i4i4i−4i−4i4i0000000000-2-2200002−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000
χ944-4-444-4-440000-24-44-422-222-2-2−4i4i4i−4i−4i4i4i−4i0000000000-2-22000022i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000
χ954-4-444-4-440000-2-44-4422-222-2-200000000000000000022-20000-200000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000
χ964-4-444-4-440000-2-44-4422-222-2-200000000000000000022-20000-2000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000
χ974-4-44-444-4000040000-4-4444-4-4−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ984-4-44-444-4000040000-4-4444-4-42i2−2i2−2i22i2−2i22i22i2−2i20000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ994-4-44-444-40000-2000022-2-2-222−2i22i22i2−2i22i2−2i2−2i22i2000000000000023−23−23230i2−i2−i2i2−i2i2i2−i2i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ1004-4-44-444-40000-2000022-2-2-222−2i22i22i2−2i22i2−2i2−2i22i20000000000000−232323−230i2−i2−i2i2−i2i2i2−i2−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1014-4-44-444-40000-2000022-2-2-2222i2−2i2−2i22i2−2i22i22i2−2i2000000000000023−23−23230−i2i2i2−i2i2−i2−i2i2−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1024-4-44-444-40000-2000022-2-2-2222i2−2i2−2i22i2−2i22i22i2−2i20000000000000−232323−230−i2i2i2−i2i2−i2−i2i2i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000

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