Finite Group Databasebeta

← Group #10695521

Character table — Group #10695521

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222444444444448888161616161616161616161616161616161616242424242424242448484848
order122222344666224446666121261212122444668812121212121224242424224444444488
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1
χ8111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ9222222222222-2-22-2-222-2-222-22-2-22-2002200-2-200000000000000000000
χ10222222222222-2-22-2-222-2-222-22-2-2-2200-2-2002200000000000000000000
χ112222222-2-222222-2-2-22222-2-22-2-2-2000000000000000000000000002-200
χ122222222-2-222222-2-2-22222-2-22-2-2-200000000000000000000000000-2200
χ132222222-2-2222-2-2-22222-2-2-2-2-2-22200000000000000000022-2-200000000
χ142222222-2-2222-2-2-22222-2-2-2-2-2-222000000000000000000-2-22200000000
χ15222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1000000000000
χ16222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-111111111000000000000
χ17222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-11111000000000000
χ18222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-1000000000000
χ19222222-122-1-1-1-2-22-2-2-1-111-1-11-1112-200-1-10011−i3−i3i3i3−i3−i3i3i3000000000000
χ20222222-122-1-1-1-2-22-2-2-1-111-1-11-1112-200-1-10011i3i3−i3−i3i3i3−i3−i3000000000000
χ21222222-122-1-1-1-2-22-2-2-1-111-1-11-111-22001100-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ22222222-122-1-1-1-2-22-2-2-1-111-1-11-111-22001100-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ232222-2-22222222-2-2-22-2-22222-2-22-2002-20000002-22-20000000000000000
χ242222-2-22222222-2-2-22-2-22222-2-22-200-22000000-22-220000000000000000
χ252222-2-2222222-22-22-2-2-2-2-2222-2-220000002-20000002-22-2000000000000
χ262222-2-2222222-22-22-2-2-2-2-2222-2-22000000-22000000-22-22000000000000
χ272222-2-22-2-22222-222-2-2-222-2-2-22-2200000000000000000000002i2i−2i−2i0000
χ282222-2-22-2-22222-222-2-2-222-2-2-22-220000000000000000000000−2i−2i2i2i0000
χ292222-2-22-2-2222-222-22-2-2-2-2-2-2222-200000000000000000000000000002-2
χ302222-2-22-2-2222-222-22-2-2-2-2-2-2222-20000000000000000000000000000-22
χ312222-2-2-122-1-1-12-2-2-2211-1-1-1-111-11002-2−i3i300−i3i3-11-11−i3i3i3−i3000000000000
χ322222-2-2-122-1-1-12-2-2-2211-1-1-1-111-11002-2i3−i300i3−i3-11-11i3−i3−i3i3000000000000
χ332222-2-2-122-1-1-12-2-2-2211-1-1-1-111-1100-22−i3i300−i3i31-11-1i3−i3−i3i3000000000000
χ342222-2-2-122-1-1-12-2-2-2211-1-1-1-111-1100-22i3−i300i3−i31-11-1−i3i3i3−i3000000000000
χ352222-2-2-122-1-1-1-22-22-21111-1-1-111-10000−i3i32-2i3−i3−i3i3i3−i3-11-11000000000000
χ362222-2-2-122-1-1-1-22-22-21111-1-1-111-10000−i3i3-22i3−i3i3−i3−i3i31-11-1000000000000
χ372222-2-2-122-1-1-1-22-22-21111-1-1-111-10000i3−i32-2−i3i3i3−i3−i3i3-11-11000000000000
χ382222-2-2-122-1-1-1-22-22-21111-1-1-111-10000i3−i3-22−i3i3−i3i3i3−i31-11-1000000000000
χ39444444-2-4-4-2-2-244-4-4-4-2-2-2-222-2222000000000000000000000000000000
χ40444444-2-4-4-2-2-2-4-4-444-2-2222222-2-2000000000000000000000000000000
χ414444-4-4-2-4-4-2-2-24-444-422-2-2222-22-2000000000000000000000000000000
χ424444-4-4-2-4-4-2-2-2-444-44222222-2-2-22000000000000000000000000000000
χ4344-4-44-44004-4-4000004-40000000000000000000000000000002-22-20000
χ4444-4-44-44004-4-4000004-4000000000000000000000000000000-22-220000
χ4544-4-4-444004-4-400000-440000000000000000000000000000002i−2i−2i2i0000
χ4644-4-4-444004-4-400000-44000000000000000000000000000000−2i2i2i−2i0000
χ474-4-440044-4-44-40000000004-400000000000000000000002-22-200000000
χ484-4-440044-4-44-40000000004-40000000000000000000000-22-2200000000
χ494-4-44004-44-44-4000000000-4400000000000000000000002-2-2200000000
χ504-4-44004-44-44-4000000000-440000000000000000000000-222-200000000
χ5188-8-88-8-400-44400000-4400000000000000000000000000000000000000
χ5288-8-8-88-400-444000004-400000000000000000000000000000000000000
χ538-88-800800-8-88000000000000000000000000000000000000000000000
χ548-88-800-40044-40000000−4i34i3000000000000000000000000000000000000
χ558-88-800-40044-400000004i3−4i3000000000000000000000000000000000000
χ568-8-8800-48-84-44000000000-440000000000000000000000000000000000
χ578-8-8800-4-884-440000000004-40000000000000000000000000000000000

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