Finite Group Databasebeta

← Group #10894941

Character table — Group #10894941

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order122222223444444446666666444444444412121212121212121212121212121212121212121212121212121212444412121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ182222222222222-2-2-2-22222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-1-1-1-111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-10000000000000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-2-21111-1-1-1-11111-1-1-1-111111111-1-1-1-10000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-2-21111-1-1-1-11111-1-1-1-111111111-1-1-1-10000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-111110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-111110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-222-2-2-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-111112-22-2-1-111-1-1110000000000000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-222-2-2-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-11111-22-2211-1-111-1-10000000000000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-222-2-2-1-1-1-1111111111111-1-1-1-11111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-222-2-2-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000−i3i3i3−i3−i3i3i3−i30000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000i3−i3−i3i3i3−i3−i3i30000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222222211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222222211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ3722-2-22-22-2200002-22-222-2-2-22-2002i−2i002i−2i0022-2-20000000000002i2i−2i−2i00002i2i−2i−2i000000000000002i−2i2-20000000000
χ3822-2-22-22-2200002-22-222-2-2-22-2002i−2i002i−2i0022-2-20000000000002i2i−2i−2i00002i2i−2i−2i00000000000000−2i2i-220000000000
χ3922-2-22-22-2200002-22-222-2-2-22-200−2i2i00−2i2i0022-2-2000000000000−2i−2i2i2i0000−2i−2i2i2i000000000000002i−2i-220000000000
χ4022-2-22-22-2200002-22-222-2-2-22-200−2i2i00−2i2i0022-2-2000000000000−2i−2i2i2i0000−2i−2i2i2i00000000000000−2i2i2-20000000000
χ4122-2-22-22-220000-22-2222-2-2-22-2002i−2i00−2i2i00-2-2220000000000002i2i−2i−2i0000−2i−2i2i2i0000000000002-200002i−2i00000000
χ4222-2-22-22-220000-22-2222-2-2-22-2002i−2i00−2i2i00-2-2220000000000002i2i−2i−2i0000−2i−2i2i2i000000000000-220000−2i2i00000000
χ4322-2-22-22-220000-22-2222-2-2-22-200−2i2i002i−2i00-2-222000000000000−2i−2i2i2i00002i2i−2i−2i0000000000002-20000−2i2i00000000
χ4422-2-22-22-220000-22-2222-2-2-22-200−2i2i002i−2i00-2-222000000000000−2i−2i2i2i00002i2i−2i−2i000000000000-2200002i−2i00000000
χ452-22-2-2-222222-2-22-2-222-222-2-2-2000000002-22-22-222-2-222-2-200000000000000000000000000000000000000002i−2i2i−2i
χ462-22-2-2-222222-2-22-2-222-222-2-2-2000000002-22-22-222-2-222-2-20000000000000000000000000000000000000000−2i2i−2i2i
χ472-22-2-2-222222-2-2-222-22-222-2-2-200000000-22-22-2222-2-2-2-2220000000000000000000000000000000000002i−2i2i−2i0000
χ482-22-2-2-222222-2-2-222-22-222-2-2-200000000-22-22-2222-2-2-2-222000000000000000000000000000000000000−2i2i−2i2i0000
χ492-22-2-2-2222-2-2222-2-222-222-2-2-200000000-222-22-2-2-222-2-22200000000000000000000000000000000000000002i−2i−2i2i
χ502-22-2-2-2222-2-2222-2-222-222-2-2-200000000-222-22-2-2-222-2-2220000000000000000000000000000000000000000−2i2i2i−2i
χ512-22-2-2-2222-2-222-222-22-222-2-2-2000000002-2-22-22-2-22222-2-20000000000000000000000000000000000002i−2i−2i2i0000
χ522-22-2-2-2222-2-222-222-22-222-2-2-2000000002-2-22-22-2-22222-2-2000000000000000000000000000000000000−2i2i2i−2i0000
χ53444-4-44-4-444-44-40000-444-4-4-44000000000000004-44-4000000000000000000000000000000000000000000000000
χ54444-4-44-4-44-44-440000-444-4-4-4400000000000000-44-44000000000000000000000000000000000000000000000000
χ55444-4-44-4-4-24-44-400002-2-2222-200000000000000-22-220000000023−2323−232323−23−2300000000000000000000000000000000
χ56444-4-44-4-4-24-44-400002-2-2222-200000000000000-22-2200000000−2323−2323−23−23232300000000000000000000000000000000
χ57444-4-44-4-4-2-44-4400002-2-2222-2000000000000002-22-20000000023−2323−23−23−23232300000000000000000000000000000000
χ58444-4-44-4-4-2-44-4400002-2-2222-2000000000000002-22-200000000−2323−23232323−23−2300000000000000000000000000000000
χ5944-44-4-4-44400000000-44-444-4-44-40000000000000000000044-4-40000000000000000000000000000000000000000
χ6044-44-4-4-44400000000-44-444-4-4-4400000000000000000000-4-4440000000000000000000000000000000000000000
χ6144-44-4-4-44-2000000002-22-2-2224-40000000000000000−2i32i3−2i32i3-2-222−2i32i32i3−2i3000000000000000000000000000000000000
χ6244-44-4-4-44-2000000002-22-2-2224-400000000000000002i3−2i32i3−2i3-2-2222i3−2i3−2i32i3000000000000000000000000000000000000
χ6344-44-4-4-44-2000000002-22-2-222-440000000000000000−2i32i3−2i32i322-2-22i3−2i3−2i32i3000000000000000000000000000000000000
χ6444-44-4-4-44-2000000002-22-2-222-4400000000000000002i3−2i32i3−2i322-2-2−2i32i32i3−2i3000000000000000000000000000000000000
χ6544-4-44-44-4-200004-44-4-2-2222-22004i−4i004i−4i00-2-222000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000000000
χ6644-4-44-44-4-200004-44-4-2-2222-2200−4i4i00−4i4i00-2-2220000000000002i2i−2i−2i00002i2i−2i−2i0000000000000000000000000000
χ6744-4-44-44-4-20000-44-44-2-2222-22004i−4i00−4i4i0022-2-2000000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000
χ6844-4-44-44-4-20000-44-44-2-2222-2200−4i4i004i−4i0022-2-20000000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000
χ694-4444-4-4-444-4-440000-4-44-444-4000000000000004-4-44000000000000000000000000000000000000000000000000
χ704-4444-4-4-44-444-40000-4-44-444-400000000000000-444-4000000000000000000000000000000000000000000000000
χ714-4444-4-4-4-24-4-44000022-22-2-2200000000000000-222-2000023−2323−230000000023−2323−230000000000000000000000000000
χ724-4444-4-4-4-24-4-44000022-22-2-2200000000000000-222-20000−2323−232300000000−2323−23230000000000000000000000000000
χ734-4444-4-4-4-2-444-4000022-22-2-22000000000000002-2-22000023−2323−2300000000−2323−23230000000000000000000000000000
χ744-4444-4-4-4-2-444-4000022-22-2-22000000000000002-2-220000−2323−23230000000023−2323−230000000000000000000000000000
χ754-44-4-4-444-244-4-44-4-44-22-2-2222000000004-4-22-22-2-222-2-22200000000000000000000000000000000000000000000
χ764-44-4-4-444-244-4-4-444-4-22-2-222200000000-442-22-2-2-22222-2-200000000000000000000000000000000000000000000
χ774-44-4-4-444-2-4-4444-4-44-22-2-222200000000-44-22-2222-2-222-2-200000000000000000000000000000000000000000000
χ784-44-4-4-444-2-4-444-444-4-22-2-2222000000004-42-22-222-2-2-2-22200000000000000000000000000000000000000000000
χ794-4-44-444-44000044-4-44-4-4-44-4400000000004-4-440000000000000000000000000000000000000000000000000000
χ804-4-44-444-440000-4-4444-4-4-44-440000000000-444-40000000000000000000000000000000000000000000000000000
χ814-4-44-444-4-2000044-4-4-2222-22-20000000000-222-20000000023−23−2323000023−2323−2300000000000000000000000000000000
χ824-4-44-444-4-2000044-4-4-2222-22-20000000000-222-200000000−232323−230000−2323−232300000000000000000000000000000000
χ834-4-44-444-4-20000-4-444-2222-22-200000000002-2-220000000023−23−23230000−2323−232300000000000000000000000000000000
χ844-4-44-444-4-20000-4-444-2222-22-200000000002-2-2200000000−232323−23000023−2323−2300000000000000000000000000000000
χ854-4-4-444-44400000000-4-4-44-44400004-40000000000000000000000004-4-4400000000000000000000000000000000
χ864-4-4-444-44400000000-4-4-44-4440000-44000000000000000000000000-444-400000000000000000000000000000000
χ874-4-4-444-44-200000000222-22-2-200004-4000000000000−2i32i32i3−2i300000000-222-22i3−2i3−2i32i30000000000000000000000000000
χ884-4-4-444-44-200000000222-22-2-200004-40000000000002i3−2i3−2i32i300000000-222-2−2i32i32i3−2i30000000000000000000000000000
χ894-4-4-444-44-200000000222-22-2-20000-44000000000000−2i32i32i3−2i3000000002-2-22−2i32i32i3−2i30000000000000000000000000000
χ904-4-4-444-44-200000000222-22-2-20000-440000000000002i3−2i3−2i32i3000000002-2-222i3−2i3−2i32i30000000000000000000000000000

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