Finite Group Databasebeta

← Group #10822448

Character table — Group #10822448

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order1222222222344444444666666666661212121212121212224444444444666612121212121212121212121212121212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ911111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-11-111-1-111-1-1
χ1011111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-1-111-1-111
χ1111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-11-1-1-111-1-111
χ1211111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-1111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-11-1-1-1111-111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1111-1-1-11-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1111-1-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1111-1-1-1111-1-1-1-111
χ172222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1111111110000000000000000
χ192222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000000000000000
χ202222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-1-1-1-1-1-11111111111110000000000000000
χ212222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112-22-222-2-222-2-2-1-111-1-1-1-11111-1-111-1-1-1-111110000000000000000
χ222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112-22-2-2-222-2-222-1-1111111-1-1-1-1-1-1111111-1-1-1-10000000000000000
χ232222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-22-2222-2-2-2-22211-1-11111-1-1-1-111-1-1-1-1-1-111110000000000000000
χ242222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-22-22-2-22222-2-211-1-1-1-1-1-1111111-1-11111-1-1-1-10000000000000000
χ2522222-2-22-2-222222-2-2-2-22222222-2-2-2-22222-2-2-2-222-2-200000000222200000000-2-2-2-2000000000000000000000000
χ2622222-2-22-2-222222-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-22200000000-2-2-2-2000000002222000000000000000000000000
χ2722222-2-22-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-222222-2-220000000022-2-200000000-2-222000000000000000000000000
χ2822222-2-22-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-22222-222-200000000-2-2220000000022-2-2000000000000000000000000
χ2922222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111122-2-200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i30000000000000000
χ3022222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111122-2-200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i30000000000000000
χ3122222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-222000000001111−i3−i3i3i3−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000
χ3222222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-222000000001111i3i3−i3−i3i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ3322222-2-22-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-12-2-2200000000-1-111−i3−i3i3i3i3i3−i3−i311-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ3422222-2-22-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-12-2-2200000000-1-111i3i3−i3−i3−i3−i3i3i311-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ3522222-2-22-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-1-222-20000000011-1-1−i3−i3i3i3i3i3−i3−i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222-2-22-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-1-222-20000000011-1-1i3i3−i3−i3−i3−i3i3i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ372222-22-2-22-2222-2-222-2-222-2-2-2-2222-2-222-2-222-2-2000000000000000000000000000000000000002-22-20000000000
χ382222-22-2-22-2222-2-222-2-222-2-2-2-2222-2-222-2-222-2-200000000000000000000000000000000000000-22-220000000000
χ392222-22-2-22-22-2-222-2-22222-2-2-2-2222-2-2-2-222-2-222000000000000000000000000000000000000002-2-220000000000
χ402222-22-2-22-22-2-222-2-22222-2-2-2-2222-2-2-2-222-2-22200000000000000000000000000000000000000-222-20000000000
χ412222-2-22-2-22222-2-2-2-22222-2-2-2-22-2-22222-2-2-2-222000000000000000000000000000000000000220000-2-200000000
χ422222-2-22-2-22222-2-2-2-22222-2-2-2-22-2-22222-2-2-2-222000000000000000000000000000000000000-2-200002200000000
χ432222-2-22-2-222-2-22222-2-222-2-2-2-22-2-222-2-22222-2-20000000000000000000000000000000000002-20000-2200000000
χ442222-2-22-2-222-2-22222-2-222-2-2-2-22-2-222-2-22222-2-2000000000000000000000000000000000000-2200002-200000000
χ452-2-22222-2-2-222-22-22-22-2-2-222-2-222-22-22-22-22-22-20000000000000000000000000000000000000000000000002i−2i2i−2i
χ462-2-22222-2-2-222-22-22-22-2-2-222-2-222-22-22-22-22-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i
χ472-2-22222-2-2-22-22-22-22-22-2-222-2-222-22-2-22-22-22-220000000000000000000000000000000000000000000000002i−2i−2i2i
χ482-2-22222-2-2-22-22-22-22-22-2-222-2-222-22-2-22-22-22-22000000000000000000000000000000000000000000000000−2i2i2i−2i
χ492-2-222-2-2-22222-22-2-22-22-2-222-2-22-22-222-22-2-22-22000000000000000000000000000000000000000000002-22-20000
χ502-2-222-2-2-22222-22-2-22-22-2-222-2-22-22-222-22-2-22-2200000000000000000000000000000000000000000000-22-220000
χ512-2-222-2-2-2222-22-222-22-2-2-222-2-22-22-22-22-222-22-2000000000000000000000000000000000000000000002-2-220000
χ522-2-222-2-2-2222-22-222-22-2-2-222-2-22-22-22-22-222-22-200000000000000000000000000000000000000000000-222-20000
χ532-2-22-22-22-2222-2-222-2-22-2-2-2-22222-2-222-2-222-2-2200002-22-2000000000000000000002-22-22-22-20000000000000000
χ542-2-22-22-22-2222-2-222-2-22-2-2-2-22222-2-222-2-222-2-220000-22-2200000000000000000000-22-22-22-220000000000000000
χ552-2-22-22-22-222-222-2-222-2-2-2-2-22222-2-22-222-2-222-200002-2-22000000000000000000002-22-2-22-220000000000000000
χ562-2-22-22-22-222-222-2-222-2-2-2-2-22222-2-22-222-2-222-20000-222-200000000000000000000-22-222-22-20000000000000000
χ572-2-22-22-22-22-12-2-222-2-221111-1-1-1-111-1-111-1-111-100002-22-20000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-11-110000000000000000
χ582-2-22-22-22-22-12-2-222-2-221111-1-1-1-111-1-111-1-111-100002-22-20000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-11-110000000000000000
χ592-2-22-22-22-22-12-2-222-2-221111-1-1-1-111-1-111-1-111-10000-22-220000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i31-11-11-11-10000000000000000
χ602-2-22-22-22-22-12-2-222-2-221111-1-1-1-111-1-111-1-111-10000-22-220000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i31-11-11-11-10000000000000000
χ612-2-22-22-22-22-1-222-2-222-21111-1-1-1-111-11-1-111-1-1100002-2-220000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3-11-111-11-10000000000000000
χ622-2-22-22-22-22-1-222-2-222-21111-1-1-1-111-11-1-111-1-1100002-2-220000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3−i3i3-11-111-11-10000000000000000
χ632-2-22-22-22-22-1-222-2-222-21111-1-1-1-111-11-1-111-1-110000-222-20000−i3i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3i3−i31-11-1-11-110000000000000000
χ642-2-22-22-22-22-1-222-2-222-21111-1-1-1-111-11-1-111-1-110000-222-20000i3−i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3−i3i31-11-1-11-110000000000000000
χ652-2-22-2-2222-222-2-22-222-2-2-2-2-2222-222-22-2-22-222-2000000002-22-200002-2-222-2-220000000000000000000000000000
χ662-2-22-2-2222-222-2-22-222-2-2-2-2-2222-222-22-2-22-222-200000000-22-220000-222-2-222-20000000000000000000000000000
χ672-2-22-2-2222-22-222-22-2-22-2-2-2-2222-222-2-222-22-2-22000000002-2-2200002-2-22-222-20000000000000000000000000000
χ682-2-22-2-2222-22-222-22-2-22-2-2-2-2222-222-2-222-22-2-2200000000-222-20000-222-22-2-220000000000000000000000000000
χ692-2-22-2-2222-2-12-2-22-222-21111-1-1-11-1-11-111-11-1-11000000002-22-2−i3i3−i3i3-111-1-111-1i3−i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ702-2-22-2-2222-2-12-2-22-222-21111-1-1-11-1-11-111-11-1-11000000002-22-2i3−i3i3−i3-111-1-111-1−i3i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ712-2-22-2-2222-2-12-2-22-222-21111-1-1-11-1-11-111-11-1-1100000000-22-22−i3i3−i3i31-1-111-1-11i3−i3i3−i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ722-2-22-2-2222-2-12-2-22-222-21111-1-1-11-1-11-111-11-1-1100000000-22-22i3−i3i3−i31-1-111-1-11−i3i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ732-2-22-2-2222-2-1-222-22-2-221111-1-1-11-1-111-1-11-111-1000000002-2-22−i3i3i3−i3-111-11-1-11i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ742-2-22-2-2222-2-1-222-22-2-221111-1-1-11-1-111-1-11-111-1000000002-2-22i3−i3−i3i3-111-11-1-11−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ752-2-22-2-2222-2-1-222-22-2-221111-1-1-11-1-111-1-11-111-100000000-222-2−i3i3i3−i31-1-11-111-1i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ762-2-22-2-2222-2-1-222-22-2-221111-1-1-11-1-111-1-11-111-100000000-222-2i3−i3−i3i31-1-11-111-1−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ774444-44-4-44-4-244-4-444-4-4-2-22222-2-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000
χ784444-44-4-44-4-2-4-444-4-444-2-22222-2-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000
χ794444-4-44-4-44-244-4-4-4-444-2-22222-222-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ804444-4-44-4-44-2-4-44444-4-4-2-22222-222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ814-4-44444-4-4-4-24-44-44-44-422-2-222-2-22-22-22-22-22-220000000000000000000000000000000000000000000000000000
χ824-4-44444-4-4-4-2-44-44-44-4422-2-222-2-22-222-22-22-22-20000000000000000000000000000000000000000000000000000
χ834-4-444-4-4-444-24-44-4-44-4422-2-222-22-22-2-22-222-22-20000000000000000000000000000000000000000000000000000
χ844-4-444-4-4-444-2-44-444-44-422-2-222-22-22-22-22-2-22-220000000000000000000000000000000000000000000000000000
χ8588-8-80000008000000008-80000-80000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8000000-400000000-44−4i34i3−4i34i340000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8000000-400000000-444i3−4i34i3−4i340000000000000000000000000000000000000000000000000000000000000000
χ888-88-8000000800000000-880000-80000000000000000000000000000000000000000000000000000000000000000
χ898-88-8000000-4000000004-4−4i34i34i3−4i340000000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000-4000000004-44i3−4i3−4i34i340000000000000000000000000000000000000000000000000000000000000000

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