Finite Group Databasebeta

← Group #10822563

Character table — Group #10822563

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order12222222223444444446666666666612121212121212124444444444441212121212121212121212121212121212121212121212122244444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ911111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-11-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1211111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-11-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1311111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ1411111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1511111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-11-11-11-1111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111
χ1611111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-11-11-11-1111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2000000002-22-2000000000000000022-2-222-2-20000000000000000
χ1822222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-200000000-22-220000000000000000-2-222-2-2220000000000000000
χ192222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111111111110000000000000000
χ212222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222-2-2-2-21111-1-1-1-11111-1-1-1-1111111110000000000000000
χ222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000
χ232222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111000000002-22-2−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-1-111-1-1110000000000000000
χ242222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111000000002-22-2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-1-111-1-1110000000000000000
χ252222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111100000000-22-22−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i311-1-111-1-10000000000000000
χ262222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111100000000-22-22i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i311-1-111-1-10000000000000000
χ2722222-2-2-2-222-2-22222-2-2-2-2-2-222222-2-2-2-2-2-22222000000002-2-22000000000000000022-2-2-2-2220000000000000000
χ2822222-2-2-2-222-2-22222-2-2-2-2-2-222222-2-2-2-2-2-2222200000000-222-20000000000000000-2-22222-2-20000000000000000
χ2922222-2-2-2-22-122-2-2-2-2221111-1-1-1-1-111-1-1-1-111112-22-22-22-222-2-2-1-111-1-111-1-111-1-111-1-1-1-111110000000000000000
χ3022222-2-2-2-22-122-2-2-2-2221111-1-1-1-1-111-1-1-1-111112-2-222-2-22-2-222-1-11111-1-1-1-11111-1-11111-1-1-1-10000000000000000
χ3122222-2-2-2-22-122-2-2-2-2221111-1-1-1-1-111-1-1-1-11111-222-2-222-2-2-22211-1-1-1-11111-1-1-1-1111111-1-1-1-10000000000000000
χ3222222-2-2-2-22-122-2-2-2-2221111-1-1-1-1-111-1-1-1-11111-22-22-22-2222-2-211-1-111-1-111-1-111-1-1-1-1-1-111110000000000000000
χ3322222-2-2-2-22-1-2-22222-2-21111-1-1-1-1-1111111-1-1-1-1000000002-2-22−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-1-11111-1-10000000000000000
χ3422222-2-2-2-22-1-2-22222-2-21111-1-1-1-1-1111111-1-1-1-1000000002-2-22i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-1-11111-1-10000000000000000
χ3522222-2-2-2-22-1-2-22222-2-21111-1-1-1-1-1111111-1-1-1-100000000-222-2−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i311-1-1-1-1110000000000000000
χ3622222-2-2-2-22-1-2-22222-2-21111-1-1-1-1-1111111-1-1-1-100000000-222-2i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i311-1-1-1-1110000000000000000
χ372222-222-2-2-222-222-2-22-22222222-2-2-2-222-2-222-2-2002200-2-20000000022220000-2-2-2-2000000000000000000000000
χ382222-222-2-2-222-222-2-22-22222222-2-2-2-222-2-222-2-200-2-2002200000000-2-2-2-200002222000000000000000000000000
χ392222-222-2-2-22-22-2-222-222222222-2-2-2-2-2-222-2-2222200-2-200000022220000-2-2-2-20000000000000000000000000000
χ402222-222-2-2-22-22-2-222-222222222-2-2-2-2-2-222-2-222-2-20022000000-2-2-2-2000022220000000000000000000000000000
χ412222-222-2-2-2-12-222-2-22-2-1-1-1-1-1-1-11111-1-111-1-111002200-2-20000−i3i3−i3i3-1-1-1-1i3−i3i3−i31111−i3i3−i3i3−i3i3−i3i30000000000000000
χ422222-222-2-2-2-12-222-2-22-2-1-1-1-1-1-1-11111-1-111-1-111002200-2-20000i3−i3i3−i3-1-1-1-1−i3i3−i3i31111i3−i3i3−i3i3−i3i3−i30000000000000000
χ432222-222-2-2-2-12-222-2-22-2-1-1-1-1-1-1-11111-1-111-1-11100-2-200220000−i3i3−i3i31111i3−i3i3−i3-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ442222-222-2-2-2-12-222-2-22-2-1-1-1-1-1-1-11111-1-111-1-11100-2-200220000i3−i3i3−i31111−i3i3−i3i3-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ452222-222-2-2-2-1-22-2-222-22-1-1-1-1-1-1-1111111-1-111-1-12200-2-2000000-1-1-1-1−i3i3−i3i31111i3−i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ462222-222-2-2-2-1-22-2-222-22-1-1-1-1-1-1-1111111-1-111-1-12200-2-2000000-1-1-1-1i3−i3i3−i31111−i3i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ472222-222-2-2-2-1-22-2-222-22-1-1-1-1-1-1-1111111-1-111-1-1-2-200220000001111−i3i3−i3i3-1-1-1-1i3−i3i3−i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ482222-222-2-2-2-1-22-2-222-22-1-1-1-1-1-1-1111111-1-111-1-1-2-200220000001111i3−i3i3−i3-1-1-1-1−i3i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ492222-2-2-222-222-2-2-2222-2-2-2-2-2222-2-22222-2-2-2-222002-200-220000000022-2-20000-2-222000000000000000000000000
χ502222-2-2-222-222-2-2-2222-2-2-2-2-2222-2-22222-2-2-2-22200-22002-200000000-2-222000022-2-2000000000000000000000000
χ512222-2-2-222-22-2222-2-2-22-2-2-2-2222-2-222-2-22222-2-22-200-2200000022-2-20000-2-2220000000000000000000000000000
χ522222-2-2-222-22-2222-2-2-22-2-2-2-2222-2-222-2-22222-2-2-22002-2000000-2-222000022-2-20000000000000000000000000000
χ532222-2-2-222-2-12-2-2-2222-21111-1-1-111-1-1-1-11111-1-1002-200-220000−i3i3i3−i3-1-111i3−i3−i3i311-1-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ542222-2-2-222-2-12-2-2-2222-21111-1-1-111-1-1-1-11111-1-1002-200-220000i3−i3−i3i3-1-111−i3i3i3−i311-1-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ552222-2-2-222-2-12-2-2-2222-21111-1-1-111-1-1-1-11111-1-100-22002-20000−i3i3i3−i311-1-1i3−i3−i3i3-1-111i3−i3i3−i3−i3i3−i3i30000000000000000
χ562222-2-2-222-2-12-2-2-2222-21111-1-1-111-1-1-1-11111-1-100-22002-20000i3−i3−i3i311-1-1−i3i3i3−i3-1-111−i3i3−i3i3i3−i3i3−i30000000000000000
χ572222-2-2-222-2-1-2222-2-2-221111-1-1-111-1-111-1-1-1-1112-200-22000000-1-111−i3i3i3−i311-1-1i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ582222-2-2-222-2-1-2222-2-2-221111-1-1-111-1-111-1-1-1-1112-200-22000000-1-111i3−i3−i3i311-1-1−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ592222-2-2-222-2-1-2222-2-2-221111-1-1-111-1-111-1-1-1-111-22002-200000011-1-1−i3i3i3−i3-1-111i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ602222-2-2-222-2-1-2222-2-2-221111-1-1-111-1-111-1-1-1-111-22002-200000011-1-1i3−i3−i3i3-1-111−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ612-22-222-22-2-22222-22-2-2-222-2-22-2-22-22-22-22-22-22-20000000000000000000000000000000000002-22-2000000000000
χ622-22-222-22-2-22222-22-2-2-222-2-22-2-22-22-22-22-22-22-2000000000000000000000000000000000000-22-22000000000000
χ632-22-222-22-2-22-2-2-22-222222-2-22-2-22-22-2-22-22-22-2200000000000000000000000000000000000000002i−2i2i−2i00000000
χ642-22-222-22-2-22-2-2-22-222222-2-22-2-22-22-2-22-22-22-220000000000000000000000000000000000000000−2i2i−2i2i00000000
χ652-22-22-22-22-2222-22-22-2-2-2-2222-2-22-2-222-22-2-22-220000000000000000000000000000000000002-2-22000000000000
χ662-22-22-22-22-2222-22-22-2-2-2-2222-2-22-2-222-22-2-22-22000000000000000000000000000000000000-222-2000000000000
χ672-22-22-22-22-22-2-22-22-222-2-2222-2-22-2-22-22-222-22-200000000000000000000000000000000000000002i−2i−2i2i00000000
χ682-22-22-22-22-22-2-22-22-222-2-2222-2-22-2-22-22-222-22-20000000000000000000000000000000000000000−2i2i2i−2i00000000
χ692-22-2-22-2-22222-22-2-22-2222-2-22-2-2-22-222-2-222-2-220000000000000000000000000000000000000000000000002i−2i2i−2i
χ702-22-2-22-2-22222-22-2-22-2222-2-22-2-2-22-222-2-222-2-22000000000000000000000000000000000000000000000000−2i2i−2i2i
χ712-22-2-22-2-2222-22-222-22-222-2-22-2-2-22-22-222-2-222-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ722-22-2-22-2-2222-22-222-22-222-2-22-2-2-22-22-222-2-222-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ732-22-2-2-222-2222-2-222-2-22-2-2222-2-2-222-22-2-22-222-20000000000000000000000000000000000000000000000002i−2i−2i2i
χ742-22-2-2-222-2222-2-222-2-22-2-2222-2-2-222-22-2-22-222-2000000000000000000000000000000000000000000000000−2i2i2i−2i
χ752-22-2-2-222-222-222-2-222-2-2-2222-2-2-222-2-222-22-2-22000000000000000000000000000000000000000000002i−2i−2i2i0000
χ762-22-2-2-222-222-222-2-222-2-2-2222-2-2-222-2-222-22-2-2200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ774-44-444-44-4-4-2444-44-4-4-4-2-222-222-22-22-22-22-22-220000000000000000000000000000000000000000000000000000
χ784-44-444-44-4-4-2-4-4-44-4444-2-222-222-22-222-22-22-22-20000000000000000000000000000000000000000000000000000
χ794-44-44-44-44-4-244-44-44-4-422-2-2-222-222-2-22-222-22-20000000000000000000000000000000000000000000000000000
χ804-44-44-44-44-4-2-4-44-44-44422-2-2-222-222-22-22-2-22-220000000000000000000000000000000000000000000000000000
χ814-44-4-44-4-444-24-44-4-44-44-2-222-2222-22-2-222-2-222-20000000000000000000000000000000000000000000000000000
χ824-44-4-44-4-444-2-44-444-44-4-2-222-2222-22-22-2-222-2-220000000000000000000000000000000000000000000000000000
χ834-44-4-4-444-44-24-4-444-4-4422-2-2-2222-2-22-222-22-2-220000000000000000000000000000000000000000000000000000
χ844-44-4-4-444-44-2-444-4-444-422-2-2-2222-2-222-2-22-222-20000000000000000000000000000000000000000000000000000
χ8588-8-80000008000000000000-88-80000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8000000-400000000−4i34i3−4i34i34-440000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8000000-4000000004i3−4i34i3−4i34-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-880000008000000000000-8-880000000000000000000000000000000000000000000000000000000000000000
χ898-8-88000000-400000000−4i34i34i3−4i344-40000000000000000000000000000000000000000000000000000000000000000
χ908-8-88000000-4000000004i3−4i3−4i34i344-40000000000000000000000000000000000000000000000000000000000000000

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