Finite Group Databasebeta

← Group #10829973

Character table — Group #10829973

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order12222222344444444666666644444444441212121212121212121212121212121212121212121212122244444466661212121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-1111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-11-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-11-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ11111111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ12111111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222222-2-2-2-222222220000-2-2222222222222-2-2-2-222220000000000-2-200000000-2-2-2-2-2-200000000000000000000000000
χ182222222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000002200000000-2-2222200000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200002222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000-220000000022-2-22200000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222000022-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000000002-2000000002222-2-200000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2-2-21111-1-1-1-1-1-111111111000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-11111-1-1-1-1-1-1-1-1000000000000000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-10000-2-22222-1-1-1-1-1-1-1-11111-1-1-1-1−i3−i3−i3−i3i3i3i3i300-2-20000−i3−i3i3i3111111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-10000-2-22222-1-1-1-1-1-1-1-11111-1-1-1-1i3i3i3i3−i3−i3−i3−i300-2-20000i3i3−i3−i3111111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-2-2-2111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i300220000−i3−i3i3i311-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-2-2-2111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i300220000i3i3−i3−i311-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-22-222-2-2111111-1-111-1-1-1-11111000000000000000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2221111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-22-2-22211111111-1-11111-1-1-1-1000000000000000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-1-1-1-11111-1-1-1-1111111111111222-2-2-222-1-1-1-111-1-1111111-1-1-1-1000000000000000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2221111-1-1-1-1-1-1-1-111111111111122-2222-2-2-1-1-1-11111-1-1-1-1-1-11111000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-100002222-2-2-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i300-220000i3i3−i3−i3-1-111-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
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χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1000022-2-2221111-1-1-1-111111111−i3−i3−i3−i3i3i3i3i3002-20000i3i3−i3−i3-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1000022-2-2221111-1-1-1-111111111i3i3i3i3−i3−i3−i3−i3002-20000−i3−i3i3i3-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ37222-2-2-22-220000-22-2222-2-2-22-22i2i−2i−2i0000000000000022-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002i2i−2i−2i002-2000000
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χ4122-2-22-2-22222-2-200002-22-2-2-220000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000022-2-20000000000000000000000000000000000−i2−i2i2i2−i2i2−i2i200002−22−200
χ4222-2-22-2-22222-2-200002-22-2-2-220000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000022-2-20000000000000000000000000000000000i2i2−i2−i2i2−i2i2−i20000−22−2200
χ4322-2-22-2-22222-2-200002-22-2-2-22000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000022-2-20000000000000000000000000000000000−i2−i2i2i2−i2i2−i2i20000−22−2200
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χ4622-2-22-2-222-2-22200002-22-2-2-220000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000-2-2220000000000000000000000000000000000i2i2−i2−i2−i2i2−i2i20000−222−200
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χ8744-4-44-4-44-2-4-4440000-22-2222-2000000−4i4i4i−4i2i2i−2i−2i−2i−2i2i2i000022-2-20000000000000000000000000000000000000000000000000000
χ884-4444-4-4-444-4-440000-44-44-4-4400000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ894-4444-4-4-44-444-40000-44-44-4-440000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ904-4444-4-4-4-24-4-4400002-22-222-2000000000023−23−232323−23−23230000-222-20000000000000000000000000000000000000000000000000000
χ914-4444-4-4-4-24-4-4400002-22-222-20000000000−232323−23−232323−230000-222-20000000000000000000000000000000000000000000000000000
χ924-4444-4-4-4-2-444-400002-22-222-2000000000023−23−2323−232323−2300002-2-220000000000000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-444-400002-22-222-20000000000−232323−2323−23−232300002-2-220000000000000000000000000000000000000000000000000000
χ944-44-4-44-44400000000-444-44-4-4000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ954-44-4-44-44400000000-444-44-4-40000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ964-4-44-4-44440000-4-444-4-444-44-4000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ974-4-44-4-444-2000044-4-422-2-22-224i−4i4i−4i00000000000000-22-220000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ984-4-44-4-444-2000044-4-422-2-22-22−4i4i−4i4i00000000000000-22-2200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ994-4-44-4-444-20000-4-44422-2-22-220000000000000000002-22-2000023−2323−23−2323−232300000000000000000000000000000000000000000000
χ1004-4-44-4-444-20000-4-44422-2-22-220000000000000000002-22-20000−2323−232323−2323−2300000000000000000000000000000000000000000000
χ10188-88-88-8-8-400000000-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-88-88-4000000004-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000

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