Finite Group Databasebeta

← Group #10846252

Character table — Group #10846252

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order1222222234444444466666668888888844888812121212121212121212121224242424242424242424242424242424224444448888888824446612121212121222444444
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
χ9111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1
χ10111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111
χ11111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-111-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111-11-111-1-111-1-111-1-111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-111
χ172222222222222-2-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ182222222222222-2-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-2000000000000000022-2-222-2-20000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-20000000000000000-2-222-2-2220000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
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χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002-2-22-1-11111-1-100000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-222-211-1-1-1-11100000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000002-22-2-1-111-1-11100000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-22-2211-1-111-1-100000000
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χ43222-2-2-2-22-1−2i−2i2i2i2-2-22-1-11111-1-2-2-2-22222−2i2i2i2i−2i−2iii−i−iii−i−i-11-111111-1-1-1-1−i−i−i−iiiii00000000000000000000−i3i3−333−3i3−i300000000
χ44222-2-2-2-22-1−2i−2i2i2i2-2-22-1-11111-1-2-2-2-22222−2i2i2i2i−2i−2iii−i−iii−i−i-11-111111-1-1-1-1−i−i−i−iiiii00000000000000000000i3−i33−3−33−i3i300000000
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χ814-444-4-44-4400000000-44-444-4-4−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ824-444-4-44-4400000000-44-444-4-42i2−2i2−2i22i22i2−2i2−2i22i20000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ834-444-4-44-4-2000000002-22-2-222−2i22i22i2−2i2−2i22i22i2−2i20000000000−2i32i3−2i32i30000i2−i2−i2i2i2−i2−i2i26−66−66−66−6000000000000000000000000000000000000
χ844-444-4-44-4-2000000002-22-2-222−2i22i22i2−2i2−2i22i22i2−2i200000000002i3−2i32i3−2i30000i2−i2−i2i2i2−i2−i2i2−66−66−66−66000000000000000000000000000000000000
χ854-444-4-44-4-2000000002-22-2-2222i2−2i2−2i22i22i2−2i2−2i22i20000000000−2i32i3−2i32i30000−i2i2i2−i2−i2i2i2−i2−66−66−66−66000000000000000000000000000000000000
χ864-444-4-44-4-2000000002-22-2-2222i2−2i2−2i22i22i2−2i2−2i22i200000000002i3−2i32i3−2i30000−i2i2i2−i2−i2i2i2−i26−66−66−66−6000000000000000000000000000000000000
χ874-44-444-4-4400000000-444-4-44-4−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ884-44-444-4-4400000000-444-4-44-42i2−2i2−2i22i2−2i22i22i2−2i20000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ894-44-444-4-4-2000000002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i2000000000023−23−23230000i2−i2−i2i2−i2i2i2−i2i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000000000
χ904-44-444-4-4-2000000002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i20000000000−232323−230000i2−i2−i2i2−i2i2i2−i2−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000000000
χ914-44-444-4-4-2000000002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i2000000000023−23−23230000−i2i2i2−i2i2−i2−i2i2−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000000000
χ924-44-444-4-4-2000000002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i20000000000−232323−230000−i2i2i2−i2i2−i2−i2i2i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000000000
χ934-4-444-4-444000044-4-4-4-4-4-444400000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ944-4-444-4-44-2000044-4-42222-2-2-20000000000000000000000-222-200000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000
χ954-4-444-4-44-2000044-4-42222-2-2-20000000000000000000000-222-2000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000
χ964-4-444-4-44-20000-4-4442222-2-2-24-44-44-44-4000000000000002-2-22-22-22-22-2200000000000000000000000000000000000000000000
χ974-4-444-4-44-20000-4-4442222-2-2-2-44-44-44-44000000000000002-2-222-22-22-22-200000000000000000000000000000000000000000000
χ984-4-4-4-4444400004-44-4-4-444-4-44000000000000000000000044-4-40000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-200004-44-422-2-222-20000000000000000000000-2-2220000000023−23−2323−232323−23000000000000000000000000000000000000
χ1004-4-4-4-4444-200004-44-422-2-222-20000000000000000000000-2-22200000000−232323−2323−23−2323000000000000000000000000000000000000
χ1014-4-4-4-4444-20000-44-4422-2-222-24-44-4-44-440000000000000022-2-2-22-222-22-200000000000000000000000000000000000000000000
χ1024-4-4-4-4444-20000-44-4422-2-222-2-44-444-44-40000000000000022-2-22-22-2-22-2200000000000000000000000000000000000000000000

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