Finite Group Databasebeta

← Group #10877395

Character table — Group #10877395

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222222222344446666666888888884466668888121212121212121224242424242424242424242424242424444444448888888824446612121212121244444444
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111
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
χ21222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-1-1-1111100000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-22-221111-1-1-1-100000000
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
χ2522222222-2-2-2-2-12222-1-1-1-1-1-1-122222222-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-111-1-11100000000
χ2622222222-2-2-2-2-12222-1-1-1-1-1-1-122222222-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000000000000000-2-22211-1-111-1-100000000
χ2722222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ2822222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
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χ32222-2-2-22-222-2-22-2-2222-2-222-2-2−2i−2i−2i−2i2i2i2i2i-2222-2-2−2i−2i2i2i-222-2-222-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ33222-2-2-22-222-2-2-1-2-222-111-1-1112i2i2i2i−2i−2i−2i−2i-22-1-1112i2i−2i−2i1-1-111-1-11−i−i−i−iiiii−i−i−i−iiiii00000000000000000000−i3i3−i3i33−33−300000000
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χ37222-2-2-22-2-2-222222-2-22-2-222-2-200000000-22-2-22200002-2-2-2-22220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
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χ41222-2-2-22-2-2-222-1-2-222-111-1-1112i2i2i2i−2i−2i−2i−2i2-211-1-1−2i−2i2i2i1-1-1-1-1111−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000−i3i3i3−i33−3−3300000000
χ42222-2-2-22-2-2-222-1-2-222-111-1-1112i2i2i2i−2i−2i−2i−2i2-211-1-1−2i−2i2i2i1-1-1-1-1111−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000i3−i3−i3i3−333−300000000
χ43222-2-2-22-2-2-222-1-2-222-111-1-111−2i−2i−2i−2i2i2i2i2i2-211-1-12i2i−2i−2i1-1-1-1-1111iiii−i−i−i−i−i−i−i−iiiii00000000000000000000−i3i3i3−i3−333−300000000
χ44222-2-2-22-2-2-222-1-2-222-111-1-111−2i−2i−2i−2i2i2i2i2i2-211-1-12i2i−2i−2i1-1-1-1-1111iiii−i−i−i−i−i−i−i−iiiii00000000000000000000i3−i3−i3i33−3−3300000000
χ452-222-22-2-200002-222-2-22-22-22-222-2-222-2-20000000000-22-20000222-2-222-2-2000000000000000000000000000000000000002i−2i002i−2i
χ462-222-22-2-200002-222-2-22-22-22-222-2-222-2-20000000000-22-20000222-2-222-2-200000000000000000000000000000000000000−2i2i00−2i2i
χ472-222-22-2-200002-222-2-22-22-22-2-2-222-2-2220000000000-22-200002-2-222-2-222000000000000000000000000000000000000002i−2i00−2i2i
χ482-222-22-2-200002-222-2-22-22-22-2-2-222-2-2220000000000-22-200002-2-222-2-22200000000000000000000000000000000000000−2i2i002i−2i
χ492-22-22-2-22000022-22-2-2-222-2-222i2i−2i−2i−2i−2i2i2i000000000022-20000-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000002i−2i002-200
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χ512-22-22-2-22000022-22-2-2-222-2-22−2i−2i2i2i2i2i−2i−2i000000000022-20000-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000002i−2i00-2200
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χ924-44-44-4-440000-24-44-422-2-222-2−4i−4i4i4i4i4i−4i−4i0000000000-2-22000022i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ934-44-44-4-440000-2-44-4422-2-222-200000000000000000022-20000-200000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000
χ944-44-44-4-440000-2-44-4422-2-222-200000000000000000022-20000-2000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000
χ954-4-444-44-44-44-4-200002-2-22-222−2i22i2−2i22i2−2i22i2−2i22i200-22-22−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ964-4-444-44-44-44-4-200002-2-22-2222i2−2i22i2−2i22i2−2i22i2−2i200-22-222i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ974-4-444-44-4-44-44-200002-2-22-222−2i22i2−2i22i2−2i22i2−2i22i2002-22-22i2−2i22i2−2i200000000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ984-4-444-44-4-44-44-200002-2-22-2222i2−2i22i2−2i22i2−2i22i2−2i2002-22-2−2i22i2−2i22i200000000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ994-4-4-4-44444-4-44-200002222-2-2-222−2222−22−2222−222200-222-222−22−222200000000−22−222−22−2−2−22222−2−2000000000000000000000000000000000000
χ1004-4-4-4-44444-4-44-200002222-2-2-2−2222−222222−2222−2200-222-2−222222−22000000002−22−2−22−2222−2−2−2−222000000000000000000000000000000000000
χ1014-4-4-4-4444-444-4-200002222-2-2-222−2222−22−2222−2222002-2-22−222222−2200000000−22−222−22−222−2−2−2−222000000000000000000000000000000000000
χ1024-4-4-4-4444-444-4-200002222-2-2-2−2222−222222−2222−22002-2-2222−22−2222000000002−22−2−22−22−2−22222−2−2000000000000000000000000000000000000

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