Finite Group Databasebeta

← Group #10945154

Character table — Group #10945154

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222344444444444444446666666444444121212121212121212121212121212121212121212121212121212122222444444444444224466661212121288888888
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
χ5111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1
χ6111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111
χ7111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-1-1-11111
χ8111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111111-1-1-1-1
χ911111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1
χ1011111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-1-111
χ1111111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-111-1-111
χ1211111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ17222222222-2-2222222222222-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ18222222222-2-22222-2-2-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-22222-2-2-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-22222-2-222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2122222222-12222222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-12222222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-1222222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-11100000000
χ2422222222-1222222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-100000000
χ2522222222-122-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000002-2-22-1-11111-1-100000000
χ2622222222-122-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000-222-211-1-1-1-11100000000
χ2722222222-122-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000022-2-2-1-1-1-1111100000000
χ2822222222-122-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000-2-2221111-1-1-1-100000000
χ2922222222-1-2-2222222222222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3022222222-1-2-2222222222222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3122222222-1-2-22222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222221111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ3222222222-1-2-22222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222221111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ3322222222-1-2-2-2-2-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3i3−i3i3−i3−i3i300000000
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χ3622222222-1-2-2-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-12222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
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χ40222-2-22-2-22002i2i−2i−2i−2i−2i2i2i-2-22200222-2-2-2-200000000002i2i−2i−2i0000−2i−2i2i2i0000-2-22200000000000000000000000000000000−22i2−i2−i2i22−2
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χ994-4-4-4-4444-200000000004-4-440022-22-2-220000000000000023−23−23230000−232323−23-222-20000000000000000000000000000000000000000
χ1004-4-4-4-4444-200000000004-4-440022-22-2-2200000000000000−232323−23000023−23−2323-222-20000000000000000000000000000000000000000
χ1014-4-4-4-4444-20000000000-444-40022-22-2-220000000000000023−23−2323000023−23−23232-2-220000000000000000000000000000000000000000
χ1024-4-4-4-4444-20000000000-444-40022-22-2-2200000000000000−232323−230000−232323−232-2-220000000000000000000000000000000000000000

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