Finite Group Databasebeta

← Group #10844749

Character table — Group #10844749

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order1222222234444444466666668888888844888812121212121212121212121224242424242424242424242424242424444444448888888824446612121212121244444444
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
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-11111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111
χ10111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ11111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1
χ12111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-11-111-1-111-1-111-1-111-1-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-111
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-11-111-1-111-1-1-1-111-1-111
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1
χ172222222222222-2-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2220000000000000000000000000000
χ182222222222222-2-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-20000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-2-22-1-11111-1-100000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-222-211-1-1-1-11100000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-1111100000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-100000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000002-22-2-1-111-1-11100000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-22-2211-1-111-1-100000000
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χ512-22-2-222-2200002-22-2-2-2-2-2222-222-22-2-22000000000000002-2-22-222-22-2-220000000000000000000000000000000000002i−2i0000−2i2i
χ522-22-2-222-2200002-22-2-2-2-2-2222-222-22-2-22000000000000002-2-22-222-22-2-22000000000000000000000000000000000000−2i2i00002i−2i
χ532-2-2-22-22222-2-2222-2-2-2-222-2-222i−2i−2i2i2i−2i−2i2i2-2−2i2i2i−2i2-2-2222-2-222-2-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ542-2-2-22-22222-2-2222-2-2-2-222-2-22−2i2i2i−2i−2i2i2i−2i2-22i−2i−2i2i2-2-2222-2-222-2-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ552-2-2-22-22222-2-22-2-222-2-222-2-2200000000-2200002-2-22-2-222-2-2220000000000000000000000002-2-222-2-2200000000000000000000
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χ582-2-2-22-2222-222-222-2-2-2-222-2-22−2i2i2i−2i−2i2i2i−2i-22−2i2i2i−2i-222-2-2-22222-2-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
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χ874-444-4-4-44-24i−4i4i−4i00002-2-222-22−2222−2222−2222−2222002i2−2i22i2−2i2−2i2i−2i2i000000002−22−22−22−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ884-444-4-4-44-2−4i4i−4i4i00002-2-222-2222−2222−2222−2222−22002i2−2i22i2−2i22i−2i2i−2i00000000−22−22−22−22−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ894-444-4-4-44-2−4i4i−4i4i00002-2-222-22−2222−2222−2222−222200−2i22i2−2i22i22i−2i2i−2i000000002−22−22−22−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ904-44-4-444-440000-44-44-4-4-4-44440000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ914-44-4-444-4-200004-44-42222-2-2-24-4-44-444-400000000000000-222-2-222-22-2-2200000000000000000000000000000000000000000000
χ924-44-4-444-4-200004-44-42222-2-2-2-444-44-4-4400000000000000-222-22-2-22-222-200000000000000000000000000000000000000000000
χ934-44-4-444-4-20000-44-442222-2-2-200000000000000000000002-2-2200000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000
χ944-44-4-444-4-20000-44-442222-2-2-200000000000000000000002-2-22000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000
χ954-4-4444-4-4400000000-44-444-4-4−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000000000
χ964-4-4444-4-4400000000-44-444-4-42i2−2i22i2−2i2−2i22i2−2i22i20000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000000000
χ974-4-4444-4-4-2000000002-22-2-222−2i22i2−2i22i22i2−2i22i2−2i2000000000023−23−23230000i2−i2i2−i2−i2i2−i2i2i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ984-4-4444-4-4-2000000002-22-2-222−2i22i2−2i22i22i2−2i22i2−2i20000000000−232323−230000i2−i2i2−i2−i2i2−i2i2−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ994-4-4444-4-4-2000000002-22-2-2222i2−2i22i2−2i2−2i22i2−2i22i2000000000023−23−23230000−i2i2−i2i2i2−i2i2−i2−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1004-4-4444-4-4-2000000002-22-2-2222i2−2i22i2−2i2−2i22i2−2i22i20000000000−232323−230000−i2i2−i2i2i2−i2i2−i2i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ1014-4-4-44-444-24-4-44-4-44422-2-222-200000000-440000-222-222-2-222-2-20000000000000000000000000000000000000000000000000000
χ1024-4-4-44-444-2-444-4-4-44422-2-222-2000000004-400002-2-22-2-22222-2-20000000000000000000000000000000000000000000000000000

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