Finite Group Databasebeta

← Group #10847375

Character table — Group #10847375

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222222234444444444446666666444444666612121212121212121212121212121212121212121212121288888888888888884444121212121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ71111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111-1-1
χ911111111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-111
χ1011111111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1
χ1111111111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1
χ1211111111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-1-1-111
χ1311111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1
χ1411111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-11111
χ1511111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111
χ1611111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1
χ172222222222222-2-2-2-2-2-22222-2-22222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ19222222222222-1222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ20222222222222-1222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ21222222222222-1222222-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-1111100000000
χ22222222222222-1222222-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-100000000
χ23222222222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ24222222222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ25222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ26222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2722222222-2-2-2-22-2-222222222-2-22222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-22222-2-2-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2922222222-2-2-2-2-122-2-2-2-2222222-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-11100000000
χ3022222222-2-2-2-2-122-2-2-2-2222222-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-100000000
χ3122222222-2-2-2-2-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ3222222222-2-2-2-2-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ3322222222-2-2-2-2-1-2-222222222-2-2-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ3422222222-2-2-2-2-1-2-222222222-2-2-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ3522222222-2-2-2-2-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ3622222222-2-2-2-2-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ37222-2-2-2-2222-2-2200000022-2-200222-2-2-2-200002-222-2-222-2-222-2-20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000
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χ994-4-4-4-44444-44-4-24-44-44-40000-4422-222-2-2000000-22-2200000000-22-22-22-2200000000000000000000000000000000000000000000
χ1004-4-4-4-44444-44-4-2-44-44-4400004-422-222-2-2000000-22-22000000002-22-22-22-200000000000000000000000000000000000000000000
χ1014-4-4-4-4444-44-44-24-4-44-440000-4422-222-2-20000002-22-200000000-22-222-22-200000000000000000000000000000000000000000000
χ1024-4-4-4-4444-44-44-2-444-44-400004-422-222-2-20000002-22-2000000002-22-2-22-2200000000000000000000000000000000000000000000

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