Finite Group Databasebeta

← Group #10877392

Character table — Group #10877392

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order1222222234444666666688888888444488881212121212121212121212122424242424242424242424242424242422224444444444888888882466121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-1111111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-111-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111111-111-1-111-1-111-1-1-11
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χ19222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-2000000000000000022220000-2-2-2-222000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-200002222-2-2000000000000000000000000
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χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-22200000000000000-221111-1-1-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000-2211-1-111-1-1000000
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χ914-444-44-4-4-2-44-4422-2-222-2-4-444-4-444000000002200000000-2-222-2-222-2-20000000000000000000000000000000000000000000000
χ924-44-44-44-4-200002-22-2-222−2i22i2−2i22i2−2i22i2−2i22i24-400−2i22i2−2i22i200-2-222000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ934-44-44-44-4-200002-22-2-222−2i22i2−2i22i2−2i22i2−2i22i2-44002i2−2i22i2−2i20022-2-2000000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ944-44-44-44-4-200002-22-2-2222i2−2i22i2−2i22i2−2i22i2−2i24-4002i2−2i22i2−2i200-2-222000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ954-44-44-44-4-200002-22-2-2222i2−2i22i2−2i22i2−2i22i2−2i2-4400−2i22i2−2i22i20022-2-2000000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ964-4-44-4-444-200002222-2-2-222−2222−22−2222−2222004-422−22−2222000000-2-22200−22−222−22−2−2−22222−2−200000000000000000000000000000000000000
χ974-4-44-4-444-200002222-2-2-222−2222−22−2222−222200-44−222222−2200000022-2-200−22−222−22−222−2−2−2−22200000000000000000000000000000000000000
χ984-4-44-4-444-200002222-2-2-2−2222−222222−2222−22004-4−222222−22000000-2-222002−22−2−22−2222−2−2−2−22200000000000000000000000000000000000000
χ994-4-44-4-444-200002222-2-2-2−2222−222222−2222−2200-4422−22−222200000022-2-2002−22−2−22−22−2−22222−2−200000000000000000000000000000000000000
χ1004-4-4-444-444-4-444-444-4-44-40000000000000000-44000000004-4000000000000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-4-4442-2-222-2200000000000000002-223−2323−23−2323−2323-22000000000000000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-4-4442-2-222-2200000000000000002-2−2323−232323−2323−23-22000000000000000000000000000000000000000000000000000000

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