Finite Group Databasebeta

← Group #10844729

Character table — Group #10844729

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order12222222344446666666888888884444888812121212121212121212121224242424242424242424242424242424444422444444448888888824666612121212444444
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-11
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-11
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1111-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-111-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-111-1-11-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-111-11
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χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000000000002211-1-111-1-1000000
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χ914-44-44-44-4-24-44-422-22-22-24-44-44-44-400000000-22000000002-2-22-22-22-220000000000000000000000000000000000000000000000
χ924-44-44-44-4-24-44-422-22-22-2-44-44-44-4400000000-22000000002-22-22-22-22-20000000000000000000000000000000000000000000000
χ934-44-44-44-4-2-44-4422-22-22-200000000000000002-200000000-2200000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000
χ944-44-44-44-4-2-44-4422-22-22-200000000000000002-200000000-22000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000
χ954-4-4444-4-4-200002-2-2-2222−2i22i22i2−2i22i2−2i2−2i22i2004i−4i22−2222−22000000−2i2i−2i2i00i2−i2−i2i2−i2i2i2−i2−22−22−22−2200000000000000000000000000000000000000
χ964-4-4444-4-4-200002-2-2-2222−2i22i22i2−2i22i2−2i2−2i22i200−4i4i−2222−22220000002i−2i2i−2i00i2−i2−i2i2−i2i2i2−i22−22−22−22−200000000000000000000000000000000000000
χ974-4-4444-4-4-200002-2-2-22222i2−2i2−2i22i2−2i22i22i2−2i2004i−4i−2222−2222000000−2i2i−2i2i00−i2i2i2−i2i2−i2−i2i22−22−22−22−200000000000000000000000000000000000000
χ984-4-4444-4-4-200002-2-2-22222i2−2i2−2i22i2−2i22i22i2−2i200−4i4i22−2222−220000002i−2i2i−2i00−i2i2i2−i2i2−i2−i2i2−22−22−22−2200000000000000000000000000000000000000
χ994-4-4-4-4444-244-4-4222-2-2-224i−4i−4i4i4i−4i−4i4i00000000-2-20000000022−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-244-4-4222-2-2-22−4i4i4i−4i−4i4i4i−4i00000000-2-200000000222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-4-444222-2-2-220000000000004-4-442200000000-2-200000000-22-222-22-200000000000000000000000000000000000000
χ1024-4-4-4-4444-2-4-444222-2-2-22000000000000-444-42200000000-2-2000000002-22-2-22-2200000000000000000000000000000000000000

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