Finite Group Databasebeta

← Group #10853270

Character table — Group #10853270

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
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-111-1-11-1
χ1011111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-111-11
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-111-1-1-1-111-11
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-11-1-11111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-1-11
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χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-1-11
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χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222221111-1-1-1-1-1-1-1-111110000000000000000
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χ8544-44-4-4-44-200000000-222-22-2223−23−2323−232323−2300000000002i2−2i2−2i22i200000000i6−i6−i6i6−i6i6i6−i6−i2i2i2−i2i2−i2−i2i200000000000000000000000000000000000000
χ8644-44-4-4-44-200000000-222-22-22−232323−2323−23−23230000000000−2i22i22i2−2i200000000i6−i6−i6i6−i6i6i6−i6i2−i2−i2i2−i2i2i2−i200000000000000000000000000000000000000
χ8744-44-4-4-44-200000000-222-22-22−232323−2323−23−232300000000002i2−2i2−2i22i200000000−i6i6i6−i6i6−i6−i6i6−i2i2i2−i2i2−i2−i2i200000000000000000000000000000000000000
χ8844-4-444-4-44004-4-440044-4-4-4-444-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-444-4-4400-444-40044-4-4-4-44-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-444-4-4-2004-4-4400-2-22222-2-222-2-222-200000000000000000000006−6−666−6−666−6−666−6−6600000000000000000000000000000000000000
χ9144-4-444-4-4-2004-4-4400-2-22222-2-222-2-222-20000000000000000000000−666−6−666−6−666−6−666−600000000000000000000000000000000000000
χ9244-4-444-4-4-200-444-400-2-22222-22-2-222-2-2200000000000000000000006−6−666−6−66−666−6−666−600000000000000000000000000000000000000
χ9344-4-444-4-4-200-444-400-2-22222-22-2-222-2-220000000000000000000000−666−6−666−66−6−666−6−6600000000000000000000000000000000000000
χ944-4444-4-4-4-2-4-444-4-44422-2-222-2-2-222-2-222-44000000000000222-22-2-2-2000000000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-4-4-4-4444422-2-222-222-2-222-2-24-400000000000022-22-22-2-2000000000000000000000000000000000000000000000000000000
χ964-44-4-44-444-440000-44-444-4-44-40000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ974-44-4-44-44-2-440000-442-2-222-222323−23−23−23−232323000000000000002-2−232323−23-22000000000000000000000000000000000000000000000000000000
χ984-44-4-44-44-2-440000-442-2-222-22−23−2323232323−23−23000000000000002-223−23−2323-22000000000000000000000000000000000000000000000000000000
χ994-4-44-444-4400000000-44-444-4-400000000000000−2i22i22i2−2i2000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ1004-4-44-444-4400000000-44-444-4-4000000000000002i2−2i2−2i22i20000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2000000002-22-2-22223−2323−23−2323−2323000000−2i22i22i2−2i2000000000000i2−i2i2−i2−i2i2−i2i2i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1024-4-44-444-4-2000000002-22-2-22223−2323−23−2323−23230000002i2−2i2−2i22i2000000000000−i2i2−i2i2i2−i2i2−i2−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1034-4-44-444-4-2000000002-22-2-222−2323−232323−2323−23000000−2i22i22i2−2i2000000000000i2−i2i2−i2−i2i2−i2i2−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1044-4-44-444-4-2000000002-22-2-222−2323−232323−2323−230000002i2−2i2−2i22i2000000000000−i2i2−i2i2i2−i2i2−i2i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1054-4-4-44-444-2004-44-4002222-2-2-2-22-22-22-2200000022−2222−2222−2222−2200000000−22−22−22−22−22−22−22−2200000000000000000000000000000000000000
χ1064-4-4-44-444-2004-44-4002222-2-2-2-22-22-22-22000000−2222−2222−2222−2222000000002−22−22−22−22−22−22−22−200000000000000000000000000000000000000
χ1074-4-4-44-444-200-44-44002222-2-2-22-22-22-22-200000022−2222−22−2222−222200000000−22−22−22−222−22−22−22−200000000000000000000000000000000000000
χ1084-4-4-44-444-200-44-44002222-2-2-22-22-22-22-2000000−2222−222222−2222−22000000002−22−22−22−2−22−22−22−2200000000000000000000000000000000000000

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