Finite Group Databasebeta

← Group #10828764

Character table — Group #10828764

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121216161616161624242424242424242424
order122222222222344446666666224444666612121212444444661212121212121212121212121212121244448888888844121212122244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111
χ8111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1
χ911111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-11111-1-1
χ1011111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-111
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-11-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1111111-1-111-1-1
χ1311111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-111
χ1411111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1111111-1-1
χ1511111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111-111-1-111-1-1-1-111-1-1
χ1611111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-111
χ172222222222222-2-2-2-2222222222-2-2222222-2-2-2-2-2-200002222-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-2220000-2-2-2-2-2-22222000000000000000000000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000000000
χ20222222222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-211110000000000
χ21222222222222-12222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-2-222221111-1-11111-1-1-1-1-1-1-1-1000000000000-2-211110000000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-111111111111100000000000022-1-1-1-10000000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-1-1-1-11111-2-20000-1-1-1-1111111−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i30000000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-1-1-1-11111-2-20000-1-1-1-1111111i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i30000000000
χ25222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111220000111111-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i30000000000
χ26222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111220000111111-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i30000000000
χ2722222222-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-22000022-2-222-2-222000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-22222222-2-22222-2-2-2-2-2-2-2-22-20000-2-2222222-2-2000000000000000000000000000000000000
χ2922222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-12-222-2-2-1-11111-1-111-1-1-1-111110000000000002-2-1-1110000000000
χ3022222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-12-2-2-222-1-11111-1-1111111-1-1-1-1000000000000-2211-1-10000000000
χ3122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1-2222-2-211-1-11111-1-1-1-1-1-11111000000000000-2211-1-10000000000
χ3222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1-22-2-22211-1-11111-1-11111-1-1-1-10000000000002-2-1-1110000000000
χ3322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12222-2-211111111-220000-1-111-1-111-1-1−i3−i3i3i3i3i3−i3−i300000000000000−i3i3i3−i30000000000
χ3422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12222-2-211111111-220000-1-111-1-111-1-1i3i3−i3−i3−i3−i3i3i300000000000000i3−i3−i3i30000000000
χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-22222111111112-2000011-1-1-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000i3−i3−i3i30000000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-22222111111112-2000011-1-1-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000−i3i3i3−i30000000000
χ37222-2-2-2-2222-2-220000222-2-2-2-22-2002-222-2-200000000002-22-2000000000000000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i2
χ38222-2-2-2-2222-2-220000222-2-2-2-22-2002-222-2-200000000002-22-2000000000000000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i2
χ39222-2-2-2-2222-2-220000222-2-2-2-2-2200-2222-2-20000000000-22-22000000000000000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i2
χ40222-2-2-2-2222-2-220000222-2-2-2-2-2200-2222-2-20000000000-22-22000000000000000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i2
χ41222-2-2-2-22-2-22220000222-2-2-2-22-200-22-2-22200000000002-2-22000000000000000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i2
χ42222-2-2-2-22-2-22220000222-2-2-2-22-200-22-2-22200000000002-2-22000000000000000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i2
χ43222-2-2-2-22-2-22220000222-2-2-2-2-22002-2-2-2220000000000-222-2000000000000000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i2
χ44222-2-2-2-22-2-22220000222-2-2-2-2-22002-2-2-2220000000000-222-2000000000000000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i2
χ4522-22-22-2-200002-22-222-2-22-22-2000000000022-2-200002i−2i000000000000002i−2i2i−2i2i2i−2i−2i00002-22-20000000000000000
χ4622-22-22-2-200002-22-222-2-22-22-2000000000022-2-200002i−2i000000000000002i−2i2i−2i−2i−2i2i2i0000-22-220000000000000000
χ4722-22-22-2-200002-22-222-2-22-22-2000000000022-2-20000−2i2i00000000000000−2i2i−2i2i2i2i−2i−2i0000-22-220000000000000000
χ4822-22-22-2-200002-22-222-2-22-22-2000000000022-2-20000−2i2i00000000000000−2i2i−2i2i−2i−2i2i2i00002-22-20000000000000000
χ492-22-222-2-200002-2-222-22-2-222-200000000002-22-2002i−2i0000000000002i−2i2i−2i00002i−2i2i−2i2-22-200000000000000000000
χ502-22-222-2-200002-2-222-22-2-222-200000000002-22-2002i−2i0000000000002i−2i2i−2i0000−2i2i−2i2i-22-2200000000000000000000
χ512-22-222-2-200002-2-222-22-2-222-200000000002-22-200−2i2i000000000000−2i2i−2i2i00002i−2i2i−2i-22-2200000000000000000000
χ522-22-222-2-200002-2-222-22-2-222-200000000002-22-200−2i2i000000000000−2i2i−2i2i0000−2i2i−2i2i2-22-200000000000000000000
χ532-2-2-2-22222-22-222-2-22-2-22-2-222002-2002-22-22-2-2200000000002-20000000000002-2-2200000000000000002-2000000
χ542-2-2-2-22222-22-222-2-22-2-22-2-222002-2002-22-22-2-2200000000002-2000000000000-222-20000000000000000-22000000
χ552-2-2-2-22222-22-22-222-2-2-22-2-22200-22002-22-2-222-20000000000-220000000000000000000000000000002-2002-20000
χ562-2-2-2-22222-22-22-222-2-2-22-2-22200-22002-22-2-222-20000000000-22000000000000000000000000000000-2200-220000
χ572-2-2-2-2222-22-2222-2-22-2-22-2-22200-2200-22-222-2-220000000000-220000000000002-2-220000000000000000-22000000
χ582-2-2-2-2222-22-2222-2-22-2-22-2-22200-2200-22-222-2-220000000000-22000000000000-222-200000000000000002-2000000
χ592-2-2-2-2222-22-222-222-2-2-22-2-222002-200-22-22-222-200000000002-20000000000000000000000000000002-200-220000
χ602-2-2-2-2222-22-222-222-2-2-22-2-222002-200-22-22-222-200000000002-2000000000000000000000000000000-22002-20000
χ61444-4-4-4-4444-4-4-20000-2-2-222224-4004-4-2-2220000000000-22-22000000000000000000000000000000000000000000
χ62444-4-4-4-4444-4-4-20000-2-2-22222-4400-44-2-22200000000002-22-2000000000000000000000000000000000000000000
χ63444-4-4-4-44-4-444-20000-2-2-222224-400-4422-2-20000000000-222-2000000000000000000000000000000000000000000
χ64444-4-4-4-44-4-444-20000-2-2-22222-44004-422-2-200000000002-2-22000000000000000000000000000000000000000000
χ6544-44-44-4-4000044-44-44-4-44-44-40000000000-4-4440000000000000000000000000000000000000000000000000000
χ6644-44-44-4-40000-24-44-4-222-22-22000000000022-2-20000000000000000000023−23−23230000000000000000000000000000
χ6744-44-44-4-40000-24-44-4-222-22-22000000000022-2-200000000000000000000−232323−230000000000000000000000000000
χ6844-44-44-4-40000-2-44-44-222-22-220000000000-2-22200004i−4i00000000000000−2i2i−2i2i0000000000000000000000000000
χ6944-44-44-4-40000-2-44-44-222-22-220000000000-2-2220000−4i4i000000000000002i−2i2i−2i0000000000000000000000000000
χ7044-4-44-44-40000400004-4-4-44-440000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ7144-4-44-44-40000400004-4-4-44-4400000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ724-444-4-44-4000040000-44-44-4-44000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ734-444-4-44-4000040000-44-44-4-440000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ744-44-444-4-40000444-4-4-44-4-444-40000000000-44-440000000000000000000000000000000000000000000000000000
χ754-44-444-4-40000-244-4-42-222-2-2200000000002-22-2000000000000000023−23−232300000000000000000000000000000000
χ764-44-444-4-40000-244-4-42-222-2-2200000000002-22-20000000000000000−232323−2300000000000000000000000000000000
χ774-44-444-4-40000-2-4-4442-222-2-220000000000-22-22004i−4i000000000000−2i2i−2i2i00000000000000000000000000000000
χ784-44-444-4-40000-2-4-4442-222-2-220000000000-22-2200−4i4i0000000000002i−2i2i−2i00000000000000000000000000000000
χ794-4-444-4-444-4-4440000-4-4444-4-40000004-4-4400000000000000000000000000000000000000000000000000000000
χ804-4-444-4-444-4-44-2000022-2-2-222000000-222-2000000000000000023−2323−23000000000000000000000000000000000000
χ814-4-444-4-444-4-44-2000022-2-2-222000000-222-20000000000000000−2323−2323000000000000000000000000000000000000
χ824-4-444-4-44-444-440000-4-4444-4-4000000-444-400000000000000000000000000000000000000000000000000000000
χ834-4-444-4-44-444-4-2000022-2-2-2220000002-2-22000000000000000023−23−2323000000000000000000000000000000000000
χ844-4-444-4-44-444-4-2000022-2-2-2220000002-2-220000000000000000−232323−23000000000000000000000000000000000000
χ854-4-4-4-44444-44-4-24-4-4422-222-2-2004-400-22-22-222-20000000000-220000000000000000000000000000000000000000
χ864-4-4-4-44444-44-4-2-444-422-222-2-200-4400-22-222-2-2200000000002-20000000000000000000000000000000000000000
χ874-4-4-4-4444-44-44-24-4-4422-222-2-200-44002-22-2-222-200000000002-20000000000000000000000000000000000000000
χ884-4-4-4-4444-44-44-2-444-422-222-2-2004-4002-22-22-2-220000000000-220000000000000000000000000000000000000000
χ8988-8-88-88-80000-40000-4444-44-4000000000000000000000000000000000000000000000000000000000000000000
χ908-888-8-88-80000-400004-44-444-4000000000000000000000000000000000000000000000000000000000000000000

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