Finite Group Databasebeta

← Group #10822314

Character table — Group #10822314

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
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χ1111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ1211111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
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χ1511111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
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χ8744-4-4-444-400004000000004-4-44-44-40000000000000000−2i22i2−2i22i2000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ8844-4-4-444-400004000000004-4-44-44-400000000000000002i2−2i22i2−2i20000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ8944-4-4-444-40000-200000000-222-22-2223−2323−23−2323−232300000000−2i22i2−2i22i20000−i6i6−i6i6i6−i6i6−i6i2−i2i2−i2−i2i2−i2i20000000000000000000000000000000000000000
χ9044-4-4-444-40000-200000000-222-22-2223−2323−23−2323−2323000000002i2−2i22i2−2i20000i6−i6i6−i6−i6i6−i6i6−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000000000
χ9144-4-4-444-40000-200000000-222-22-22−2323−232323−2323−2300000000−2i22i2−2i22i20000i6−i6i6−i6−i6i6−i6i6i2−i2i2−i2−i2i2−i2i20000000000000000000000000000000000000000
χ9244-4-4-444-40000-200000000-222-22-22−2323−232323−2323−23000000002i2−2i22i2−2i20000−i6i6−i6i6i6−i6i6−i6−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000000000
χ934-444-44-4-40000400000000-444-4-44-400000000000022−22−22220000000022−22−222222−22−2222000000000000000000000000000000000000000000000000
χ944-444-44-4-40000400000000-444-4-44-4000000000000−222222−2200000000−222222−22−222222−22000000000000000000000000000000000000000000000000
χ954-444-44-4-40000-2000000002-2-222-2223−23−232323−23−2323000022−22−222200000000−222−2−222−26−6−666−6−660000000000000000000000000000000000000000
χ964-444-44-4-40000-2000000002-2-222-2223−23−232323−23−23230000−222222−22000000002−2−222−2−22−666−6−666−60000000000000000000000000000000000000000
χ974-444-44-4-40000-2000000002-2-222-22−232323−23−232323−23000022−22−222200000000−222−2−222−2−666−6−666−60000000000000000000000000000000000000000
χ984-444-44-4-40000-2000000002-2-222-22−232323−23−232323−230000−222222−22000000002−2−222−2−226−6−666−6−660000000000000000000000000000000000000000
χ994-44-44-44-40000400000000-44-444-4-40000000000000000−2i22i22i2−2i2000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ1004-44-44-44-40000400000000-44-444-4-400000000000000002i2−2i2−2i22i20000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ1014-44-44-44-40000-2000000002-22-2-22223−23−2323−232323−2300000000−2i22i22i2−2i20000−i6i6i6−i6i6−i6−i6i6i2−i2−i2i2−i2i2i2−i20000000000000000000000000000000000000000
χ1024-44-44-44-40000-2000000002-22-2-22223−23−2323−232323−23000000002i2−2i2−2i22i20000i6−i6−i6i6−i6i6i6−i6−i2i2i2−i2i2−i2−i2i20000000000000000000000000000000000000000
χ1034-44-44-44-40000-2000000002-22-2-222−232323−2323−23−232300000000−2i22i22i2−2i20000i6−i6−i6i6−i6i6i6−i6i2−i2−i2i2−i2i2i2−i20000000000000000000000000000000000000000
χ1044-44-44-44-40000-2000000002-22-2-222−232323−2323−23−2323000000002i2−2i2−2i22i20000−i6i6i6−i6i6−i6−i6i6−i2i2i2−i2i2−i2−i2i20000000000000000000000000000000000000000
χ1054-4-44-4-4444-44-4-2-44-44-44-4422-2-222-222-2-222-2-2-22-22000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1064-4-44-4-444-44-44-2-444-44-4-4422-2-222-2-2-222-2-2222-22-2000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-444-4-44-24-44-4-44-442222-2-2-2-2-22222-2-2-222-200000000-22-2200000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-444-4-24-4-444-4-442222-2-2-222-2-2-2-2222-2-2200000000-22-2200000000000000000000000000000000000000000000000000000000

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