Finite Group Databasebeta

← Group #10877390

Character table — Group #10877390

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order122222223444466666668888888844448888121212121212121212121212242424242424242424242424242424242222444444444488888888441212121212121212444424
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-111-1-11111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11111-1111-1-1-1-111-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-11111-1-111-1-1-11
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χ874-444-4-44-4-200002-22-22-22−2i2−2i22i22i2−2i2−2i22i22i24-400−2i22i2−2i22i200-2-222000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ884-444-4-44-4-200002-22-22-22−2i2−2i22i22i2−2i2−2i22i22i2-44002i2−2i22i2−2i20022-2-2000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ894-444-4-44-4-200002-22-22-222i22i2−2i2−2i22i22i2−2i2−2i24-4002i2−2i22i2−2i200-2-222000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ904-444-4-44-4-200002-22-22-222i22i2−2i2−2i22i22i2−2i2−2i2-4400−2i22i2−2i22i20022-2-2000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ914-44-444-4-444-44-4-4-4444-4-400000000000000004400000000-4-4000000000000000000000000000000000000000000000000000000
χ924-44-444-4-4-24-44-422-2-2-2220000000000000000-2-2−2i32i3−2i32i32i32i3−2i3−2i322000000000000000000000000000000000000000000000000000000
χ934-44-444-4-4-24-44-422-2-2-2220000000000000000-2-22i3−2i32i3−2i3−2i3−2i32i32i322000000000000000000000000000000000000000000000000000000
χ944-4-444-4-444-4-444-444-4-4-440000000000000000-44000000004-4000000000000000000000000000000000000000000000000000000
χ954-4-444-4-44-244-4-42-2-2222-24i−4i4i−4i−4i4i−4i4i00000000-22000000002-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ964-4-444-4-44-244-4-42-2-2222-2−4i4i−4i4i4i−4i4i−4i00000000-22000000002-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ974-4-444-4-44-2-4-4442-2-2222-200000000000000002-200000000-220000000023−2323−23−2323−232300000000000000000000000000000000000000
χ984-4-444-4-44-2-4-4442-2-2222-200000000000000002-200000000-2200000000−2323−232323−2323−2300000000000000000000000000000000000000
χ994-4-4-4-4444-200002222-2-2-22222−22−22−22−222222004-422−22−2222000000-22-2200−2−22222−2−2−2−22222−2−200000000000000000000000000000000000000
χ1004-4-4-4-4444-200002222-2-2-22222−22−22−22−22222200-44−222222−220000002-22-200−2−22222−2−222−2−2−2−22200000000000000000000000000000000000000
χ1014-4-4-4-4444-200002222-2-2-2−22−2222222222−22−22004-4−222222−22000000-22-220022−2−2−2−22222−2−2−2−22200000000000000000000000000000000000000
χ1024-4-4-4-4444-200002222-2-2-2−22−2222222222−22−2200-4422−22−22220000002-22-20022−2−2−2−222−2−22222−2−200000000000000000000000000000000000000

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