Finite Group Databasebeta

← Group #10826316

Character table — Group #10826316

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1111111-1-1
χ911111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111111-1-11-1
χ1011111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-11
χ1111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-11
χ1211111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-11-1
χ1311111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-1-11
χ1411111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1-1111-1
χ1511111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1111-1-1-1-1111-1
χ1611111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-11111-1-1-11
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χ2722222222-2-2-2-2-12222-1-1-1-1-1-111111111-1-2-2-2-2-2-22222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-11111-1-1-1-10000000000000000
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χ82444-4-4-44-4-444-440000-44-444-4-444-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ83444-4-4-44-4-444-4-200002-22-2-222-2-22-222-220000000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000
χ84444-4-4-44-4-444-4-200002-22-2-222-2-22-222-220000000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000000000
χ8544-44-44-4-4000040000-444-4-4400000000-400000022−22−222200000000000022−22−222222−22−22220000000000000000000000000000000000000000000000
χ8644-44-44-4-4000040000-444-4-4400000000-4000000−222222−22000000000000−222222−22−222222−220000000000000000000000000000000000000000000000
χ8744-44-44-4-40000-200002-2-222-2−2i32i32i3−2i3−2i32i32i3−2i3200000022−22−2222000000000000−222−2−222−2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ8844-44-44-4-40000-200002-2-222-2−2i32i32i3−2i3−2i32i32i3−2i32000000−222222−220000000000002−2−222−2−22i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ8944-44-44-4-40000-200002-2-222-22i3−2i3−2i32i32i3−2i3−2i32i3200000022−22−2222000000000000−222−2−222−2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ9044-44-44-4-40000-200002-2-222-22i3−2i3−2i32i32i3−2i3−2i32i32000000−222222−220000000000002−2−222−2−22−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ9144-4-44-4-44000044-4-4444-4-4-4-400000000400000000000000-4440000-4000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-440000-24-4-44-2-22222−2i3−2i3−2i3−2i32i32i32i32i3-2000000000000002-2-22i32i3−2i3−2i32000000000000000000000000000000000000000000000000000000
χ9344-4-44-4-440000-24-4-44-2-222222i32i32i32i3−2i3−2i3−2i3−2i3-2000000000000002-2-2−2i3−2i32i32i32000000000000000000000000000000000000000000000000000000
χ944-4444-4-4-40000400004-4-44-4400000000-4000000000022−22−2222000000000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ954-4444-4-4-40000400004-4-44-4400000000-40000000000−222222−220000000000000000−2222−222222−2222−2200000000000000000000000000000000000000
χ964-4444-4-4-40000-20000-222-22-2−2i32i3−2i32i32i3−2i32i3−2i32000000000022−22−222200000000−i6i6−i6i6i6−i6i6−i6−22−222−22−200000000000000000000000000000000000000
χ974-4444-4-4-40000-20000-222-22-2−2i32i3−2i32i32i3−2i32i3−2i320000000000−222222−2200000000i6−i6i6−i6−i6i6−i6i62−22−2−22−2200000000000000000000000000000000000000
χ984-4444-4-4-40000-20000-222-22-22i3−2i32i3−2i3−2i32i3−2i32i32000000000022−22−222200000000i6−i6i6−i6−i6i6−i6i6−22−222−22−200000000000000000000000000000000000000
χ994-4444-4-4-40000-20000-222-22-22i3−2i32i3−2i3−2i32i3−2i32i320000000000−222222−2200000000−i6i6−i6i6i6−i6i6−i62−22−2−22−2200000000000000000000000000000000000000
χ1004-44-4-44-44000044-44-4-4-444-4-4000000004000000000000004-440000-4000000000000000000000000000000000000000000000000000000
χ1014-44-4-44-440000-24-44-422-2-222−2i3−2i32i32i3−2i3−2i32i32i3-200000000000000-22-22i3−2i32i3−2i32000000000000000000000000000000000000000000000000000000
χ1024-44-4-44-440000-24-44-422-2-2222i32i3−2i3−2i32i32i3−2i3−2i3-200000000000000-22-2−2i32i3−2i32i32000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-44444-4-4-2-4-4442222-2-2-2-22222-2-2-2-44000000000000-2-222-2-222000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-444-4-444-2-4-4442222-2-222-2-2-2-222-24-4000000000000-2-22-222-22000000000000000000000000000000000000000000000000000000
χ1054-4-4-4444-44-44-4-20000-22-22-22-22-22-22-22200000022−2222−2222−2222−2200000000−22−22−22−22−22−22−22−2200000000000000000000000000000000000000
χ1064-4-4-4444-44-44-4-20000-22-22-22-22-22-22-222000000−2222−2222−2222−2222000000002−22−22−22−22−22−22−22−200000000000000000000000000000000000000
χ1074-4-4-4444-4-44-44-20000-22-22-222-22-22-22-2200000022−2222−22−2222−222200000000−22−22−22−222−22−22−22−200000000000000000000000000000000000000
χ1084-4-4-4444-4-44-44-20000-22-22-222-22-22-22-22000000−2222−222222−2222−22000000002−22−22−22−2−22−22−22−2200000000000000000000000000000000000000

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