Finite Group Databasebeta

← Group #10900981

Character table — Group #10900981

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order12222222344444444666666622444444446666121212121212121212121212121212121212121212121212444412121212121212124444444488888888
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ9111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-1111111-1-111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-22222222-2-222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-22222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
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
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-2221111-1-1-1-10000000000000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-10000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-10000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-111110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-111110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-111112-22-2-1-111-1-1110000000000000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-11111-22-2211-1-111-1-10000000000000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-222-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-222-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000−i3i3i3−i3−i3i3i3−i30000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000i3−i3−i3i3i3−i3−i3i30000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ3722-22-2-2-2222i2i−2i−2i00002-22-2-22-200002i−2i2-200000000002i2i−2i−2i00002i2i−2i−2i22-2-20000000000000000000000002−2−i2i22−2−i2i2
χ3822-22-2-2-2222i2i−2i−2i00002-22-2-22-200002i−2i2-200000000002i2i−2i−2i00002i2i−2i−2i22-2-2000000000000000000000000−22i2−i2−22i2−i2
χ3922-22-2-2-2222i2i−2i−2i00002-22-2-22-20000−2i2i-220000000000−2i−2i2i2i00002i2i−2i−2i-2-2220000000000000000000000002−2−i2i2−22i2−i2
χ4022-22-2-2-2222i2i−2i−2i00002-22-2-22-20000−2i2i-220000000000−2i−2i2i2i00002i2i−2i−2i-2-222000000000000000000000000−22i2−i22−2−i2i2
χ4122-22-2-2-222−2i−2i2i2i00002-22-2-22-200002i−2i-2200000000002i2i−2i−2i0000−2i−2i2i2i-2-2220000000000000000000000002−2i2−i2−22−i2i2
χ4222-22-2-2-222−2i−2i2i2i00002-22-2-22-200002i−2i-2200000000002i2i−2i−2i0000−2i−2i2i2i-2-222000000000000000000000000−22−i2i22−2i2−i2
χ4322-22-2-2-222−2i−2i2i2i00002-22-2-22-20000−2i2i2-20000000000−2i−2i2i2i0000−2i−2i2i2i22-2-20000000000000000000000002−2i2−i22−2i2−i2
χ4422-22-2-2-222−2i−2i2i2i00002-22-2-22-20000−2i2i2-20000000000−2i−2i2i2i0000−2i−2i2i2i22-2-2000000000000000000000000−22−i2i2−22−i2i2
χ452-2-2-2-222222-22-222-2-2-2-2-22-2222-20000000022-2-20000000022-2-22-22-200000000000000000000002-2002-200000000
χ462-2-2-2-222222-22-222-2-2-2-2-22-2222-20000000022-2-20000000022-2-22-22-20000000000000000000000-2200-2200000000
χ472-2-2-2-222222-22-2-2-222-2-2-22-222-2200000000-2-22200000000-2-2222-22-2000000000000000000002-2002-20000000000
χ482-2-2-2-222222-22-2-2-222-2-2-22-222-2200000000-2-22200000000-2-2222-22-200000000000000000000-2200-220000000000
χ492-2-2-2-22222-22-2222-2-2-2-2-22-222-2200000000-2-2220000000022-2-2-22-2200000000000000000000002-200-2200000000
χ502-2-2-2-22222-22-2222-2-2-2-2-22-222-2200000000-2-2220000000022-2-2-22-220000000000000000000000-22002-200000000
χ512-2-2-2-22222-22-22-2-222-2-2-22-2222-20000000022-2-200000000-2-222-22-22000000000000000000002-200-220000000000
χ522-2-2-2-22222-22-22-2-222-2-2-22-2222-20000000022-2-200000000-2-222-22-2200000000000000000000-22002-20000000000
χ53444-4-4-44-440000000044-44-4-4-4004-4000000000044-4-4000000000000000000000000000000000000000000000000
χ54444-4-4-44-440000000044-44-4-4-400-440000000000-4-444000000000000000000000000000000000000000000000000
χ55444-4-4-44-4-200000000-2-22-2222004-4000000−2i32i3−2i32i3-2-222−2i32i3−2i32i300000000000000000000000000000000000000000000
χ56444-4-4-44-4-200000000-2-22-2222004-40000002i3−2i32i3−2i3-2-2222i3−2i32i3−2i300000000000000000000000000000000000000000000
χ57444-4-4-44-4-200000000-2-22-222200-44000000−2i32i3−2i32i322-2-22i3−2i32i3−2i300000000000000000000000000000000000000000000
χ58444-4-4-44-4-200000000-2-22-222200-440000002i3−2i32i3−2i322-2-2−2i32i3−2i32i300000000000000000000000000000000000000000000
χ5944-44-4-4-44-24i4i−4i−4i0000-22-222-2200004i−4i4-40000000000−2i−2i2i2i0000−2i−2i2i2i-2-22200000000000000000000000000000000
χ6044-44-4-4-44-24i4i−4i−4i0000-22-222-220000−4i4i-4400000000002i2i−2i−2i0000−2i−2i2i2i22-2-200000000000000000000000000000000
χ6144-44-4-4-44-2−4i−4i4i4i0000-22-222-2200004i−4i-440000000000−2i−2i2i2i00002i2i−2i−2i22-2-200000000000000000000000000000000
χ6244-44-4-4-44-2−4i−4i4i4i0000-22-222-220000−4i4i4-400000000002i2i−2i−2i00002i2i−2i−2i-2-22200000000000000000000000000000000
χ6344-4-444-4-4400004-44-44-4-4-44-4400000000000000000000004-44-40000000000000000000000000000000000000000
χ6444-4-444-4-440000-44-444-4-4-44-440000000000000000000000-44-440000000000000000000000000000000000000000
χ6544-4-444-4-4-200004-44-4-2222-22-200000000000000000023−23−2323-22-22000000002323−23−230000000000000000000000000000
χ6644-4-444-4-4-200004-44-4-2222-22-2000000000000000000−232323−23-22-2200000000−23−2323230000000000000000000000000000
χ6744-4-444-4-4-20000-44-44-2222-22-200000000000000000023−23−23232-22-200000000−23−2323230000000000000000000000000000
χ6844-4-444-4-4-20000-44-44-2222-22-2000000000000000000−232323−232-22-2000000002323−23−230000000000000000000000000000
χ694-444-44-4-4400004-4-44-444-4-4-4400000000000000000000004-4-440000000000000000000000000000000000000000
χ704-444-44-4-440000-444-4-444-4-4-440000000000000000000000-444-40000000000000000000000000000000000000000
χ714-444-44-4-4-200004-4-442-2-2222-20000000000000023−2323−230000-222-2000023−2323−2300000000000000000000000000000000
χ724-444-44-4-4-200004-4-442-2-2222-200000000000000−2323−23230000-222-20000−2323−232300000000000000000000000000000000
χ734-444-44-4-4-20000-444-42-2-2222-20000000000000023−2323−2300002-2-220000−2323−232300000000000000000000000000000000
χ744-444-44-4-4-20000-444-42-2-2222-200000000000000−2323−232300002-2-22000023−2323−2300000000000000000000000000000000
χ754-44-44-4-4444i−4i−4i4i0000-44-4-444-4000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ764-44-44-4-444−4i4i4i−4i0000-44-4-444-400000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ774-44-44-4-44-24i−4i−4i4i00002-222-2-220000000000000023−23−232300000000−2i2i2i−2i0000−2i32i3−2i32i30000000000000000000000000000
χ784-44-44-4-44-24i−4i−4i4i00002-222-2-2200000000000000−232323−2300000000−2i2i2i−2i00002i3−2i32i3−2i30000000000000000000000000000
χ794-44-44-4-44-2−4i4i4i−4i00002-222-2-220000000000000023−23−2323000000002i−2i−2i2i00002i3−2i32i3−2i30000000000000000000000000000
χ804-44-44-4-44-2−4i4i4i−4i00002-222-2-2200000000000000−232323−23000000002i−2i−2i2i0000−2i32i3−2i32i30000000000000000000000000000
χ814-4-444-44-4400000000-4-4444-4-4000000004i−4i0000000000000000000000004i−4i−4i4i0000000000000000000000000000
χ824-4-444-44-4400000000-4-4444-4-400000000−4i4i000000000000000000000000−4i4i4i−4i0000000000000000000000000000
χ834-4-444-44-4-20000000022-2-2-222000000004i−4i−2i32i32i3−2i3000000000000000023−23−2323−2i2i2i−2i0000000000000000000000000000
χ844-4-444-44-4-20000000022-2-2-222000000004i−4i2i3−2i3−2i32i30000000000000000−232323−23−2i2i2i−2i0000000000000000000000000000
χ854-4-444-44-4-20000000022-2-2-22200000000−4i4i−2i32i32i3−2i30000000000000000−232323−232i−2i−2i2i0000000000000000000000000000
χ864-4-444-44-4-20000000022-2-2-22200000000−4i4i2i3−2i3−2i32i3000000000000000023−23−23232i−2i−2i2i0000000000000000000000000000
χ874-4-4-4-4444-24-44-444-4-4222-22-2-24-400000000-2-22200000000-2-222-22-22000000000000000000000000000000000000
χ884-4-4-4-4444-24-44-4-4-444222-22-2-2-440000000022-2-20000000022-2-2-22-22000000000000000000000000000000000000
χ894-4-4-4-4444-2-44-4444-4-4222-22-2-2-440000000022-2-200000000-2-2222-22-2000000000000000000000000000000000000
χ904-4-4-4-4444-2-44-44-4-444222-22-2-24-400000000-2-2220000000022-2-22-22-2000000000000000000000000000000000000

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