Finite Group Databasebeta

← Group #10733131

Character table — Group #10733131

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order122222222222222236666666666666662222222244444444666666661212121212121212121212121212121222444466666666121212121212121244444444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
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χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111
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χ822-2-22-222-2-22-22-222-2-111-11-111-1-1111-1-1-10000-222-200002-2-22i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-111-1-111-10000-221-1-11−i3i3i3−i3−i3i3i3−i31-1-1100000000000000000000
χ832-2-22-222-2-22-22-222-2-111-11-111-1-1111-1-1-10000-222-20000-222-2−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i31-1-111-1-1100002-21-1-11−i3i3i3−i3i3−i3−i3i3-111-100000000000000000000
χ842-2-22-222-2-22-22-222-2-111-11-111-1-1111-1-1-10000-222-20000-222-2i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i31-1-111-1-1100002-21-1-11i3−i3−i3i3−i3i3i3−i3-111-100000000000000000000
χ85444444-4-4-444-4-4-4-4-4-2-2-2-2-2-2-22222222-220000000044-4-4000000000000-2-2-2-2222200000000000000000000000000000000000000000000000000
χ86444444-4-4-444-4-4-4-4-4-2-2-2-2-2-2-22222222-2200000000-4-4440000000000002222-2-2-2-200000000000000000000000000000000000000000000000000
χ874444-4-444-4-4-44-4-4-44-2-2-2-2222-2-2-2-2222220000000000004i4i−4i−4i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ884444-4-444-4-4-44-4-4-44-2-2-2-2222-2-2-2-222222000000000000−4i−4i4i4i00000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000
χ894444-4-4-4-44-4-4-4444-44444-4-4-4-4-4-4-4444-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-44-4-4-4444-4-2-2-2-22222222-2-2-22-20000000000000000−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-44-4-4-4444-4-2-2-2-22222222-2-2-22-200000000000000002i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000000
χ9244-4-444444-4-4-4-44-4-444-4-444-4-4-444-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-444444-4-4-4-44-4-4-2-222-2-2222-2-22-2-222000000000000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000
χ9444-4-444444-4-4-4-44-4-4-2-222-2-2222-2-22-2-22200000000000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000
χ9544-4-444-4-4-4-4-444-444-2-222-2-22-2-222-2222-244-4-4000000000000-2-2-2-222220000000000000000000000000000000000000000000000000000000000
χ9644-4-444-4-4-4-4-444-444-2-222-2-22-2-222-2222-2-4-4440000000000002222-2-2-2-20000000000000000000000000000000000000000000000000000000000
χ9744-4-4-4-4-4-44444-44-44-2-22222-2-2-2222-2-2-22000000004-4-44000000000000-2-22222-2-200000000000000000000000000000000000000000000000000
χ9844-4-4-4-4-4-44444-44-44-2-22222-2-2-2222-2-2-2200000000-444-400000000000022-2-2-2-22200000000000000000000000000000000000000000000000000
χ994-44-44-4-44-44-4444-4-44-44-44-4-4-44-444-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-4-44-44-4444-4-4-22-22-2222-22-2-22-2-22000000000000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000
χ1014-44-44-4-44-44-4444-4-4-22-22-2222-22-2-22-2-220000000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000
χ1024-44-4-444-4-4-44-444-444-44-4-4444-44-44-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-44-4-444-4-4-44-444-44-22-222-2-2-22-22-22-2220000000000000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000
χ1044-44-4-444-4-4-44-444-44-22-222-2-2-22-22-22-22200000000000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000
χ1054-44-4-44-444-444-4-44-44-44-4-444-44-44-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-44-4-44-444-444-4-44-4-22-222-2-22-22-22-222-20000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1074-44-4-44-444-444-4-44-4-22-222-2-22-22-22-222-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1084-4-444-44-44-4444-4-4-4-222-2-22-22-2-22-2-22220000000000004i−4i4i−4i0000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000
χ1094-4-444-44-44-4444-4-4-4-222-2-22-22-2-22-2-2222000000000000−4i4i−4i4i00000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000
χ1104-4-444-4-44-4-44-4-4444-222-2-22-2-222-222-22-24-4-44000000000000-22-222-22-20000000000000000000000000000000000000000000000000000000000
χ1114-4-444-4-44-4-44-4-4444-222-2-22-2-222-222-22-2-444-40000000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000
χ1124-4-44-44-4444-4-44-4-444-4-44-44-44-4-4444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-44-4444-4-44-4-44-222-22-22-222-2-2-22-22000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ1144-4-44-44-4444-4-44-4-44-222-22-22-222-2-2-22-220000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000

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