Finite Group Databasebeta

← Group #10826333

Character table — Group #10826333

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222444444444444444444444444444444444444888888888888888888888888882424242424242424242424244848
order122222223444466666662222222244446666666666666666121212121212121222224444666666661212121212121212121222448888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11-1
χ6111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-11
χ7111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-11
χ8111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111-1
χ911111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ1111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1
χ1211111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111
χ1311111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-1
χ1411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-11
χ1511111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1
χ17222222222-2-2-2-222222220000222222-2-20000000022222222-2-2-2-222220000-200-200000000-2-2-2-2-2-2000000000000000000
χ18222222222-2-2-2-22222222000022-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-2000020020000000022-2-222000000000000000000
χ19222222222-2-2-2-222222220000-2-222-2-22200000000-2-2-2-22222-2-2-2-2-2-2-2-20000200-2000000002222-2-2000000000000000000
χ20222222222-2-2-2-222222220000-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2-2-2-222220000-200200000000-2-22222000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111122-2-2-2-2-2-2-1-1-1-1111111-1-111111100000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-2-222-2-2-221111-1-1-1-11111-1-1111100000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2222-211111111-1-11111-1-1-1-100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-2-2211111111-1-1-1-1-1-1111100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-22211111111-1-1-1-11111-1-1-1-11111-2-222-222-21111-1-1-1-111-1-111-1-1-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-2-2111111111111-1-1-1-1-1-1-1-1111122-2-2-2222-1-1-1-111111111-1-1-1-1-1-100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-21111111111111111-1-1-1-1-1-1-1-122222-2-2-2-1-1-1-1-1-1-1-1-1-11111111100000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-10000222222-2-2−i3−i3−i3−i3i3i3i3i3-1-1-1-1-1-1-1-11111-1-1-1-10000-200-2−i3−i3i3i3−i3−i3i3i3111111−i3−i3i3i300000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-10000222222-2-2i3i3i3i3−i3−i3−i3−i3-1-1-1-1-1-1-1-11111-1-1-1-10000-200-2i3i3−i3−i3i3i3−i3−i3111111i3i3−i3−i300000000000000
χ3122222222-1-2-2-2-2-1-1-1-1-1-1-1000022-2-2-2-2-2-2−i3−i3−i3−i3i3i3i3i3-1-1-1-111111111111100002002−i3−i3i3i3i3i3−i3−i3-1-111-1-1i3i3−i3−i300000000000000
χ3222222222-1-2-2-2-2-1-1-1-1-1-1-1000022-2-2-2-2-2-2i3i3i3i3−i3−i3−i3−i3-1-1-1-111111111111100002002i3i3−i3−i3−i3−i3i3i3-1-111-1-1−i3−i3i3i300000000000000
χ3322222222-1-2-2-2-2-1-1-1-1-1-1-10000-2-222-2-222−i3−i3−i3−i3i3i3i3i31111-1-1-1-1111111110000200-2i3i3−i3−i3−i3−i3i3i3-1-1-1-111i3i3−i3−i300000000000000
χ3422222222-1-2-2-2-2-1-1-1-1-1-1-10000-2-222-2-222i3i3i3i3−i3−i3−i3−i31111-1-1-1-1111111110000200-2−i3−i3i3i3i3i3−i3−i3-1-1-1-111−i3−i3i3i300000000000000
χ3522222222-1-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-22222−i3−i3−i3−i3i3i3i3i3111111111111-1-1-1-10000-2002i3i3−i3−i3i3i3−i3−i311-1-1-1-1−i3−i3i3i300000000000000
χ3622222222-1-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-22222i3i3i3i3−i3−i3−i3−i3111111111111-1-1-1-10000-2002−i3−i3i3i3−i3−i3i3i311-1-1-1-1i3i3−i3−i300000000000000
χ3722-2-2-22-222-22-2222-2-2-22-222-2-20000000022-2-222-2-20000000022-2-2000000000000000000000000000000002-20000002-200
χ3822-2-2-22-222-22-2222-2-2-22-222-2-20000000022-2-222-2-20000000022-2-200000000000000000000000000000000-22000000-2200
χ3922-2-2-22-222-22-2222-2-2-22-2-2-22200000000-2-222-2-2220000000022-2-2000000000000000000000000000000002-2000000-2200
χ4022-2-2-22-222-22-2222-2-2-22-2-2-22200000000-2-222-2-2220000000022-2-200000000000000000000000000000000-220000002-200
χ412-22-2-2-2222-2-222-2-222-22-22-22-2000000002-22-22-22-2000000002-22-20000000000000000000000000000002-20000002-20000
χ422-22-2-2-2222-2-222-2-222-22-22-22-2000000002-22-22-22-2000000002-22-2000000000000000000000000000000-22000000-220000
χ432-22-2-2-2222-2-222-2-222-22-2-22-2200000000-22-22-22-22000000002-22-20000000000000000000000000000002-2000000-220000
χ442-22-2-2-2222-2-222-2-222-22-2-22-2200000000-22-22-22-22000000002-22-2000000000000000000000000000000-220000002-20000
χ452-2-222-2-2222-2-22-2-2-2-22222-2-222-200002-22-2-222-2-2222-2-200002-2-2200002-20000002-22-20000002-200000000000000000000
χ462-2-222-2-2222-2-22-2-2-2-22222-2-22-220000-222-2-222-2-22-2-22200002-2-220000-22000000-22-22000000-2200000000000000000000
χ472-2-222-2-2222-2-22-2-2-2-2222-222-22-200002-2-222-2-222-222-2-200002-2-220000-22000000-22-220000002-200000000000000000000
χ482-2-222-2-2222-2-22-2-2-2-2222-222-2-220000-22-222-2-222-2-2-22200002-2-2200002-20000002-22-2000000-2200000000000000000000
χ492-2-222-2-222-222-2-2-2-2-222200002-20000-220000000022-2-20000-222-20000002-202-2000002-22-200-22002-22-200000000000000
χ502-2-222-2-222-222-2-2-2-2-222200002-20000-220000000022-2-20000-222-2000000-220-2200000-22-2200-2200-22-2200000000000000
χ512-2-222-2-222-222-2-2-2-2-22220000-2200002-200000000-2-2220000-222-20000002-20-22000002-22-2002-200-22-2200000000000000
χ522-2-222-2-222-222-2-2-2-2-22220000-2200002-200000000-2-2220000-222-2000000-2202-200000-22-22002-2002-22-200000000000000
χ532-2-222-2-22-12-2-221111-1-1-12-2-222-200002-2-111-1-111-1-1-111−i3−i3i3i3-111-1−i3−i3i3i32-2000000-11-11−i3i3i3−i3−i3i3-11−i3i3−i3i3i3−i300000000000000
χ542-2-222-2-22-12-2-221111-1-1-12-2-222-200002-2-111-1-111-1-1-111i3i3−i3−i3-111-1i3i3−i3−i32-2000000-11-11i3−i3−i3i3i3−i3-11i3−i3i3−i3−i3i300000000000000
χ552-2-222-2-22-12-2-221111-1-1-12-2-22-220000-22-111-1-111-111-1-1−i3−i3i3i3-111-1i3i3−i3−i3-220000001-11-1−i3i3i3−i3i3−i31-1−i3i3i3−i3−i3i300000000000000
χ562-2-222-2-22-12-2-221111-1-1-12-2-22-220000-22-111-1-111-111-1-1i3i3−i3−i3-111-1−i3−i3i3i3-220000001-11-1i3−i3−i3i3−i3i31-1i3−i3−i3i3i3−i300000000000000
χ572-2-222-2-22-12-2-221111-1-1-1-222-22-200002-21-1-111-1-11-1-111−i3−i3i3i3-111-1−i3−i3i3i3-220000001-11-1i3−i3−i3i3−i3i3-11−i3i3i3−i3−i3i300000000000000
χ582-2-222-2-22-12-2-221111-1-1-1-222-22-200002-21-1-111-1-11-1-111i3i3−i3−i3-111-1i3i3−i3−i3-220000001-11-1−i3i3i3−i3i3−i3-11i3−i3−i3i3i3−i300000000000000
χ592-2-222-2-22-12-2-221111-1-1-1-222-2-220000-221-1-111-1-1111-1-1−i3−i3i3i3-111-1i3i3−i3−i32-2000000-11-11i3−i3−i3i3i3−i31-1−i3i3−i3i3i3−i300000000000000
χ602-2-222-2-22-12-2-221111-1-1-1-222-2-220000-221-1-111-1-1111-1-1i3i3−i3−i3-111-1−i3−i3i3i32-2000000-11-11−i3i3i3−i3−i3i31-1i3−i3i3−i3−i3i300000000000000
χ612-2-222-2-22-1-222-21111-1-1-100002-20000-22−i3i3i3−i3i3−i3−i3i3-1-111−i3−i3i3i31-1-11−i3−i3i3i3002-202-20−i3i3i3−i3-11-11i3−i31-1i3−i3-11-1100000000000000
χ622-2-222-2-22-1-222-21111-1-1-100002-20000-22−i3i3i3−i3i3−i3−i3i3-1-111i3i3−i3−i31-1-11i3i3−i3−i300-220-220−i3i3i3−i31-11-1−i3i31-1−i3i31-11-100000000000000
χ632-2-222-2-22-1-222-21111-1-1-100002-20000-22i3−i3−i3i3−i3i3i3−i3-1-111−i3−i3i3i31-1-11−i3−i3i3i300-220-220i3−i3−i3i31-11-1i3−i31-1i3−i31-11-100000000000000
χ642-2-222-2-22-1-222-21111-1-1-100002-20000-22i3−i3−i3i3−i3i3i3−i3-1-111i3i3−i3−i31-1-11i3i3−i3−i3002-202-20i3−i3−i3i3-11-11−i3i31-1−i3i3-11-1100000000000000
χ652-2-222-2-22-1-222-21111-1-1-10000-2200002-2−i3i3i3−i3i3−i3−i3i311-1-1−i3−i3i3i31-1-11i3i3−i3−i3002-20-220i3−i3−i3i3-11-11−i3i3-11i3−i31-11-100000000000000
χ662-2-222-2-22-1-222-21111-1-1-10000-2200002-2−i3i3i3−i3i3−i3−i3i311-1-1i3i3−i3−i31-1-11−i3−i3i3i300-2202-20i3−i3−i3i31-11-1i3−i3-11−i3i3-11-1100000000000000
χ672-2-222-2-22-1-222-21111-1-1-10000-2200002-2i3−i3−i3i3−i3i3i3−i311-1-1−i3−i3i3i31-1-11i3i3−i3−i300-2202-20−i3i3i3−i31-11-1−i3i3-11i3−i3-11-1100000000000000
χ682-2-222-2-22-1-222-21111-1-1-10000-2200002-2i3−i3−i3i3−i3i3i3−i311-1-1i3i3−i3−i31-1-11−i3−i3i3i3002-20-220−i3i3i3−i3-11-11i3−i3-11−i3i31-11-100000000000000
χ694444-4-4-4-4400004-44-44-4-400000000000000000000000000000000000000000000000000000000000000000000−2i22i2000000
χ704444-4-4-4-4400004-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000000
χ7144-4-44-44-4400004-4-44-4-440000004-400000000000000004-44-4000000000000000000000000000000000000000000000000
χ7244-4-44-44-4400004-4-44-4-44000000-440000000000000000-44-44000000000000000000000000000000000000000000000000
χ7344-4-44-44-4-20000-222-222-20000004-4000000000000−2i32i3−2i32i3-22-220000−2i32i3−2i32i30000000000000000000000000000000000000000
χ7444-4-44-44-4-20000-222-222-20000004-40000000000002i3−2i32i3−2i3-22-2200002i3−2i32i3−2i30000000000000000000000000000000000000000
χ7544-4-44-44-4-20000-222-222-2000000-44000000000000−2i32i3−2i32i32-22-200002i3−2i32i3−2i30000000000000000000000000000000000000000
χ7644-4-44-44-4-20000-222-222-2000000-440000000000002i3−2i32i3−2i32-22-20000−2i32i3−2i32i30000000000000000000000000000000000000000
χ7744-4-4-44-4444-44-444-4-4-44-40000000000000000000000000000-4-44400000000000000000000000000000000000000000000
χ7844-4-4-44-44-24-44-4-2-2222-22000000000000−2i3−2i32i32i32i32i3−2i3−2i30000000022-2-200000000000000000000000000000000000000000000
χ7944-4-4-44-44-24-44-4-2-2222-220000000000002i32i3−2i3−2i3−2i3−2i32i32i30000000022-2-200000000000000000000000000000000000000000000
χ8044-4-4-44-44-2-44-44-2-2222-2244-4-400000000-2-222-2-22200000000-2-22200000000000000000000000000000000000000000000
χ8144-4-4-44-44-2-44-44-2-2222-22-4-4440000000022-2-222-2-200000000-2-22200000000000000000000000000000000000000000000
χ824-44-444-4-440000-444-4-4-44000000004-400000000000000000000004-4-440000000000000000000000000000000000000000
χ834-44-444-4-440000-444-4-4-4400000000-440000000000000000000000-444-40000000000000000000000000000000000000000
χ844-44-444-4-4-200002-2-2222-2000000004-40000000000−2i32i32i3−2i3−2i32i32i3−2i30000-222-20000000000000000000000000000000000000000
χ854-44-444-4-4-200002-2-2222-2000000004-400000000002i3−2i3−2i32i32i3−2i3−2i32i30000-222-20000000000000000000000000000000000000000
χ864-44-444-4-4-200002-2-2222-200000000-440000000000−2i32i32i3−2i32i3−2i3−2i32i300002-2-220000000000000000000000000000000000000000
χ874-44-444-4-4-200002-2-2222-200000000-4400000000002i3−2i3−2i32i3−2i32i32i3−2i300002-2-220000000000000000000000000000000000000000
χ884-44-4-4-444444-4-4-4-444-44-40000000000000000000000000000-44-4400000000000000000000000000000000000000000000
χ894-44-4-4-444-244-4-422-2-22-22000000000000−2i32i3−2i32i32i3−2i32i3−2i3000000002-22-200000000000000000000000000000000000000000000
χ904-44-4-4-444-244-4-422-2-22-220000000000002i3−2i32i3−2i3−2i32i3−2i32i3000000002-22-200000000000000000000000000000000000000000000
χ914-44-4-4-444-2-4-44422-2-22-224-44-400000000-22-22-22-2200000000-22-2200000000000000000000000000000000000000000000
χ924-44-4-4-444-2-4-44422-2-22-22-44-44000000002-22-22-22-200000000-22-2200000000000000000000000000000000000000000000
χ934-4-44-444-440000-44-444-4-400000000000000000000000000000000000000000000000000000000000000000022−2200000000
χ944-4-44-444-440000-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000−222200000000
χ958888-8-8-8-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-888-8-400004-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000

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