Finite Group Databasebeta

← Group #10836676

Character table — Group #10836676

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444444444444466888888888888888881212121212161616161616161616162424242424242424244848
order12222234444666444466881212121224242424444488888121212122424242424244448848121212122424242424448888848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1
χ3111111111111111111111111111111-1-111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-1-111
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111111-1-1
χ911111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11111-1-1-1-1-1-111-1-11-1-11-1
χ1011111111111111-1-1-1-111111111111111-1-11-1-111-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-1111-1-1-11
χ1111111111111111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-111-11
χ1211111111111111-1-1-1-1111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1111-1
χ1311111111111111-1-1-1-111-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-11111111-1-1-1111-1-1-1-111-1-111-1-1-111-11
χ1411111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-11111111-1-11-1-1-11111-1-1-1-1-1-111-1111-1
χ1511111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-111-1111-1-1-1-11111-1-1111-1-11-1
χ1611111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-1-11111-1-11111-1-11-1-1-11
χ172222222-2-2-2-222200002200-2-2-2-20000220002i−2i000000002i2i−2i−2i-2-2200000000000000000002i−2i00
χ182222222-2-2-2-222200002200-2-2-2-2000022000−2i2i00000000−2i−2i2i2i-2-220000000000000000000−2i2i00
χ192222222-2-2-2-222200002200-2-2-2-20000-2-20002i−2i000000002i2i−2i−2i22-20000000000000000000−2i2i00
χ202222222-2-2-2-222200002200-2-2-2-20000-2-2000−2i2i00000000−2i−2i2i2i22-200000000000000000002i−2i00
χ21222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1002222222-1-1-1-1-1-1-1-1-1-10000022-1-1-1-1-1-1-1-100000000000
χ22222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-100-2-2222-2-2-1-1-1-1-1-1-1-1-1-100000-2-21111111100000000000
χ23222222-12222-1-1-12222-1-1-2-2-1-1-1-111110022-2-2-222-1-1-1-111111100000-2-2-1-111-1-11100000000000
χ24222222-12222-1-1-12222-1-1-2-2-1-1-1-1111100-2-2-2-2-2-2-2-1-1-1-1111111000002211-1-111-1-100000000000
χ25222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-100222-2-2-2-21111-1-11111000002-2-1-1-1-1111100000000000
χ26222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-100-2-22-2-2221111-1-1111100000-221111-1-1-1-100000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-111110022-222-2-2111111-1-1-1-100000-22-1-11111-1-100000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-1111100-2-2-22222111111-1-1-1-1000002-211-1-1-1-11100000000000
χ292222-2-222-2-2222222-2-2-2-2002-2-22000022000000022-2-20000002-2-2000000000000-22000000000
χ302222-2-222-2-2222222-2-2-2-2002-2-220000-2-2000000022-2-2000000-2220000000000002-2000000000
χ312222-2-222-2-22222-2-222-2-2002-2-220000220000000-2-2220000002-2-20000000000002-2000000000
χ322222-2-222-2-22222-2-222-2-2002-2-220000-2-20000000-2-222000000-222000000000000-22000000000
χ332222-2-22-222-22220000-2-222-222-222222200-200000000-2-20000-22-2220000000000000000-20000
χ342222-2-22-222-22220000-2-222-222-22222-2-200-200000000-2-200002-22-2-2000000000000000020000
χ352222-2-22-222-22220000-2-2-2-2-222-2-2-2-2-22200200000000220000-22-2-2-2000000000000000020000
χ362222-2-22-222-22220000-2-2-2-2-222-2-2-2-2-2-2-2002000000002200002-22220000000000000000-20000
χ372-22-22-22-22-222-2-22i−2i2i−2i2-200-22-220000002i−2i0002-22i−2i2i−2i00000000000002i−2i002-20000000000000
χ382-22-22-22-22-222-2-22i−2i2i−2i2-200-22-22000000−2i2i000-222i−2i2i−2i0000000000000−2i2i00-220000000000000
χ392-22-22-22-22-222-2-2−2i2i−2i2i2-200-22-220000002i−2i000-22−2i2i−2i2i00000000000002i−2i00-220000000000000
χ402-22-22-22-22-222-2-2−2i2i−2i2i2-200-22-22000000−2i2i0002-2−2i2i−2i2i0000000000000−2i2i002-20000000000000
χ412-22-22-2-1-22-22-1112i−2i2i−2i-11001-11-1−i3−i3i3i3002i−2i0002-2−ii−ii−i3i33−33−30000000−ii3−3-11−i3i300000000000
χ422-22-22-2-1-22-22-1112i−2i2i−2i-11001-11-1−i3−i3i3i300−2i2i000-22−ii−ii−i3i33−33−30000000i−i−331-1i3−i300000000000
χ432-22-22-2-1-22-22-1112i−2i2i−2i-11001-11-1i3i3−i3−i3002i−2i0002-2−ii−iii3−i3−33−330000000−ii−33-11i3−i300000000000
χ442-22-22-2-1-22-22-1112i−2i2i−2i-11001-11-1i3i3−i3−i300−2i2i000-22−ii−iii3−i3−33−330000000i−i3−31-1−i3i300000000000
χ452-22-22-2-1-22-22-111−2i2i−2i2i-11001-11-1−i3−i3i3i3002i−2i000-22i−ii−i−i3i3−33−330000000−ii3−31-1i3−i300000000000
χ462-22-22-2-1-22-22-111−2i2i−2i2i-11001-11-1−i3−i3i3i300−2i2i0002-2i−ii−i−i3i3−33−330000000i−i−33-11−i3i300000000000
χ472-22-22-2-1-22-22-111−2i2i−2i2i-11001-11-1i3i3−i3−i3002i−2i000-22i−ii−ii3−i33−33−30000000−ii−331-1−i3i300000000000
χ482-22-22-2-1-22-22-111−2i2i−2i2i-11001-11-1i3i3−i3−i300−2i2i0002-2i−ii−ii3−i33−33−30000000i−i3−3-11i3−i300000000000
χ492-22-2-222-2-2222-2-22i−2i−2i2i-2200-2-22200000000000002i−2i−2i2i000000000000000000000002-22i−2i00000
χ502-22-2-222-2-2222-2-22i−2i−2i2i-2200-2-22200000000000002i−2i−2i2i00000000000000000000000-22−2i2i00000
χ512-22-2-222-2-2222-2-2−2i2i2i−2i-2200-2-2220000000000000−2i2i2i−2i000000000000000000000002-2−2i2i00000
χ522-22-2-222-2-2222-2-2−2i2i2i−2i-2200-2-2220000000000000−2i2i2i−2i00000000000000000000000-222i−2i00000
χ53444444-2-4-4-4-4-2-2-20000-2-20022220000000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-2002222000000000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ554444-4-4-24-4-44-2-2-244-4-42200-222-20000000000000-2-22200000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4-4442200-222-2000000000000022-2-200000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-2000022442-2-22-2-2-2-20000-40000000022000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-2000022-4-42-2-2222220000400000000-2-2000000000000000000000000000000
χ594-44-44-444-44-44-4-400004-4004-44-40000000000000000000000000000000000000000000000000
χ604-44-44-4-24-44-4-2220000-2200-22-220000000000000000000−2i32i32i3−2i300000000000000000000000000
χ614-44-44-4-24-44-4-2220000-2200-22-2200000000000000000002i3−2i3−2i32i300000000000000000000000000
χ624-44-4-44444-4-44-4-40000-440044-4-40000000000000000000000000000000000000000000000000
χ634-44-4-44-244-4-4-22200002-200-2-222−2i3−2i32i32i300000000000002i3−2i3000000000000000000000000000000
χ644-44-4-44-244-4-4-22200002-200-2-2222i32i3−2i3−2i30000000000000−2i32i3000000000000000000000000000000
χ654-44-4-44-2-4-444-2224i−4i−4i4i2-20022-2-20000000000000−2i2i2i−2i00000000000000000000000000000000
χ664-44-4-44-2-4-444-222−4i4i4i−4i2-20022-2-200000000000002i−2i−2i2i00000000000000000000000000000000
χ674-4-440040000-44-4000000−2i22i20000−2i22i2−2i22i24-400000000000000000000−2i22i2000000000000000000000
χ684-4-440040000-44-4000000−2i22i20000−2i22i2−2i22i2-44000000000000000000002i2−2i2000000000000000000000
χ694-4-440040000-44-40000002i2−2i200002i2−2i22i2−2i24-4000000000000000000002i2−2i2000000000000000000000
χ704-4-440040000-44-40000002i2−2i200002i2−2i22i2−2i2-4400000000000000000000−2i22i2000000000000000000000
χ7188-8-80080000-8-880000000000000000000000000000000000000000000000000000000000000
χ7288-8-800-4000044-400000000000026−26−2626000000000000000000000000000000000000000000000
χ7388-8-800-4000044-4000000000000−262626−26000000000000000000000000000000000000000000000
χ748-8-8800-400004-44000000−4i24i200002i2−2i22i2−2i2000000000000000000000000000000000000000000000
χ758-8-8800-400004-440000004i2−4i20000−2i22i2−2i22i2000000000000000000000000000000000000000000000

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