Finite Group Databasebeta

← Group #10868033

Character table — Group #10868033

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order1222222234444444466666664444444444121212121212121212121212121212121212121212121212244444446612121212121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-1111111111111-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111111111-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111-1
χ131111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ141111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ17222222222-22222-2-2-2222222222-2-20000222222222200000000-2-2-2-22222-200-20000-2-2-2-20000-2-200000000000000000000000000
χ18222222222-22222-2-2-22222222-2-2-2-20000-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-22002000022220000-2-200000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222220000-2-22222-2-2-2-200000000-2-2-2-2-2-2-2-2200-2000022-2-200002200000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-222000022-2-2-2-2-2-2-2-200000000-2-2-2-22222-20020000-2-22200002200000000000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-12222-2-2-2-222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-12-2-22-2-2-2-2-1-1-1-11111-1-111111111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2222222-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-222-2-2-2-2-211111111-1-11111-1-1-1-1000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-111111111-1-1-1-11111-2-2-2-222221111-1-1-1-1-1-1-1-1-1-11111000000000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-122-2-22222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-22-2-22211-1-1-1-1-1-11111111111000000000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1111111111111-1-1-1-11111-222222-2-211-1-1111111-1-1-1-1-1-1-1-1000000000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-222-2-2-1-111111111-1-1-1-11111000000000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2221111111111111111-1-1-1-1-1-1-1-1222-2-2-222-1-111-1-1-1-1111111-1-1-1-1000000000000000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-122-2-2000022-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i31111-1-1-1-1-200-200001111−i3−i3i3i311−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-122-2-2000022-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i31111-1-1-1-1-200-200001111i3i3−i3−i311i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3122222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-21111-1-1-1-1−i3−i3−i3−i3i3i3i3i31111111120020000-1-1-1-1i3i3−i3−i311i3i3−i3−i3−i3−i3i3i3000000000000000000
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χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122220000-2-2-1-1-1-11111−i3−i3−i3−i3i3i3i3i311111111200-20000-1-111−i3−i3i3i3-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
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χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22200002211111111−i3−i3−i3−i3i3i3i3i31111-1-1-1-1-2002000011-1-1i3i3−i3−i3-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22200002211111111i3i3i3i3−i3−i3−i3−i31111-1-1-1-1-2002000011-1-1−i3−i3i3i3-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3722-2-22-2-22222i2i−2i−2i-2-222-2-22-2-22002i−2i00000000002i2i−2i−2i0000000022-2-2000000002i−2i2-200002-22-22i−2i2i−2i2i−2i0000000000000000000000
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χ854-44-444-4-4440000-44-4-444-4-4-4400000000000000000000000000-44-44000000000000000000000000000000000000000000000000
χ864-44-444-4-4-240000-44-42-2-2222-200000000000000000023−2323−23−2323−23232-22-2000000000000000000000000000000000000000000000000
χ874-44-444-4-4-240000-44-42-2-2222-2000000000000000000−2323−232323−2323−232-22-2000000000000000000000000000000000000000000000000
χ884-44-444-4-4-2-400004-442-2-2222-200004i−4i4i−4i0000000000−2i2i−2i2i−2i2i−2i2i-22-22000000000000000000000000000000000000000000000000
χ894-44-444-4-4-2-400004-442-2-2222-20000−4i4i−4i4i00000000002i−2i2i−2i2i−2i2i−2i-22-22000000000000000000000000000000000000000000000000
χ904-4-444-44-44-40000-444-4-4-4-4444000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ914-4-444-44-4-2400004-4-42222-2-2-200004-4-440000000000-222-2-222-22-2-22000000000000000000000000000000000000000000000000
χ924-4-444-44-4-2400004-4-42222-2-2-20000-444-400000000002-2-222-2-222-2-22000000000000000000000000000000000000000000000000
χ934-4-444-44-4-2-40000-4442222-2-2-2000000000000000000−2i32i32i3−2i32i3−2i3−2i32i3-222-2000000000000000000000000000000000000000000000000
χ944-4-444-44-4-2-40000-4442222-2-2-20000000000000000002i3−2i3−2i32i3−2i32i32i3−2i3-222-2000000000000000000000000000000000000000000000000
χ954-4-4-4-4444404-4-44000-4-444-44-4000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ964-4-4-4-444440-444-4000-4-444-44-400000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ974-4-4-4-4444-204-4-4400022-2-22-22000000000023−23−2323-222-2000000000000−232323−2300000000000000000000000000000000000000000000
χ984-4-4-4-4444-204-4-4400022-2-22-220000000000−232323−23-222-200000000000023−23−232300000000000000000000000000000000000000000000
χ994-4-4-4-4444-20-444-400022-2-22-22000000000023−23−23232-2-2200000000000023−23−232300000000000000000000000000000000000000000000
χ1004-4-4-4-4444-20-444-400022-2-22-220000000000−232323−232-2-22000000000000−232323−2300000000000000000000000000000000000000000000
χ101888-8-8-88-8-400000000-4-4444-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-88-88-8-8-400000000-44-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000

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