Finite Group Databasebeta

← Group #10827345

Character table — Group #10827345

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222222222344446666666224444444466666666121212121212121212121212121212122244444466661212121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ1311111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1411111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-11
χ172222222222222-2-2-2-2222222222220000-2-222222222-2-2-2-222220000000000-20000-20000-2-2-2-2-2-200000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-20000-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000200002000022-2-22200000000000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ20222222222222-12222-1-1-1-1-1-1-12222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-22-2-2-2-221111-1-1-1-1-1-111111111000000000000000000
χ21222222222222-12222-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-222-2-2-2111111-1-111-1-1-1-11111000000000000000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-11111-1-1-1-111111111111122-2-2-222-2-1-1-1-111-1-1111111-1-1-1-1000000000000000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-122220000-2-2-1-1-1-1-1-1-1-11111-1-1-1-1−i3−i3−i3−i3i3i3i3i300-20000-2−i3−i3i3i3111111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-122220000-2-2-1-1-1-1-1-1-1-11111-1-1-1-1i3i3i3i3−i3−i3−i3−i300-20000-2i3i3−i3−i3111111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ25222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-2-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i300200002i3i3−i3−i3-1-111-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ26222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-2-1-1-1-1111111111111i3i3i3i3−i3−i3−i3−i300200002−i3−i3i3i3-1-111-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ2722222222-2-2-2-22-2-2-2-2222222222-2-2000022-2-2-2-22222-2-2-2-2-2-2-2-2000000000020000-200002222-2-200000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-22222222-2-222000022-2-2-2-2-2-2-2-2-2-2-2-222220000000000-2000020000-2-2222200000000000000000000000000
χ2922222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-222211111111-1-11111-1-1-1-1000000000000000000
χ3022222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-111111111111122-222-2-22-1-1-1-11111-1-1-1-1-1-11111000000000000000000
χ3122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000
χ3222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222222-21111-1-11111-1-1-1-1-1-1-1-1000000000000000000
χ3322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-2-20000221111-1-1-1-111111111−i3−i3−i3−i3i3i3i3i30020000-2i3i3−i3−i3-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-2-20000221111-1-1-1-111111111i3i3i3i3−i3−i3−i3−i30020000-2−i3−i3i3i3-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-222000022111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i300-200002−i3−i3i3i311-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-222000022111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i300-200002i3i3−i3−i311-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000
χ37222-2-2-22-222-2-22000022-2-2-2-222-22-200000022-2-222-2-2000022-2-20000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i20000−i2i2−i2i200
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χ39222-2-2-22-222-2-22000022-2-2-2-22-22-2200000022-2-2-2-2220000-2-2220000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i20000i2−i2i2−i200
χ40222-2-2-22-222-2-22000022-2-2-2-22-22-2200000022-2-2-2-2220000-2-2220000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000−i2i2−i2i200
χ41222-2-2-22-2-2-2222000022-2-2-2-222-2-22000000-2-22222-2-20000-2-2220000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i200
χ42222-2-2-22-2-2-2222000022-2-2-2-222-2-22000000-2-22222-2-20000-2-2220000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000i2−i2−i2i200
χ43222-2-2-22-2-2-2222000022-2-2-2-22-222-2000000-2-222-2-222000022-2-20000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i200
χ44222-2-2-22-2-2-2222000022-2-2-2-22-222-2000000-2-222-2-222000022-2-20000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i200
χ4522-2-22-2-220000222-2-22-22-2-22-200002i2i−2i−2i000000000022-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002i−2i2i−2i002-2000000
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χ4722-2-22-2-220000222-2-22-22-2-22-20000−2i−2i2i2i000000000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000002i−2i2i−2i00-22000000
χ4822-2-22-2-220000222-2-22-22-2-22-20000−2i−2i2i2i000000000022-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−2i2i−2i2i002-2000000
χ492-22-2-22-22000022-22-2-22-22-22-200002i−2i2i−2i00000000002-22-200002i−2i2i−2i2i−2i2i−2i000000000000000000000000002i−2i2i−2i00002-200000000
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χ532-2-22-2-2222-22-222-2-22-2-2-2-222200002-2-222-22-22-200002-2-2200002-2-222-2-220002-20000000002-2002-22-20000000000000000000000
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χ552-2-22-2-2222-22-22-222-2-2-2-2-222200000000-222-22-20000-222-20000000000002-20002-202-22-200-220000002-22-2000000000000000000
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χ904-44-4-44-4400004-44-44-44-44-44-4000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ914-44-4-44-440000-24-44-42-22-22-2200004i−4i4i−4i0000000000-22-220000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ924-44-4-44-440000-24-44-42-22-22-220000−4i4i−4i4i0000000000-22-2200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ934-44-4-44-440000-2-44-442-22-22-220000000000000000002-22-2000023−2323−23−2323−232300000000000000000000000000000000000000000000
χ944-44-4-44-440000-2-44-442-22-22-220000000000000000002-22-20000−2323−232323−2323−2300000000000000000000000000000000000000000000
χ954-4-4-4444-44-4-4440000-4-444-4-4400000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ964-4-4-4444-44-4-44-2000022-2-222-20000000000-222-2−2i32i32i3−2i30000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ974-4-4-4444-44-4-44-2000022-2-222-20000000000-222-22i3−2i3−2i32i300002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ984-4-4-4444-4-444-440000-4-444-4-440000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ994-4-4-4444-4-444-4-2000022-2-222-200000000002-2-22−2i32i32i3−2i300002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-444-4-2000022-2-222-200000000002-2-222i3−2i3−2i32i30000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ10188-88-88-8-80000-40000-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8888-8-8-80000-400004-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000

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