Finite Group Databasebeta

← Group #10843151

Character table — Group #10843151

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222244444444444444448888888888888888812121212121216161616161616161616242424242424242424242448
order1222223444466622446688121212122424242422668888812122424242424244444884668121224242424222444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111
χ511111111111111111111-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-11-1111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-11-1-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-11-1-1111-1-111-1-1-1-1-111-111-11
χ811111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111111-1-11-1-11-1
χ911111111111111-1-1-1-111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1111-111-1-1-1-11-1-111-1-11-1-1-11
χ1011111111111111-1-1-1-111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-111-1-111-1111-1
χ1111111111111111-1-1-1-1111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-11-1-111111-1-1-11-1-1-1111-1
χ1211111111111111-1-1-1-1111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1111-1111-1-1-11
χ1311111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-1-1111-1-1-1-111-1111-1-1-1111-1-1
χ1411111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-1111-1-1-1111-1-1-111
χ1511111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-111
χ1611111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-11-1-11111111-1-1
χ17222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-10000002-1-12-1-1-1-1-1-1000000000000
χ18222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2222-1-1-1-1-1-1-1-1000000-211-2111111000000000000
χ19222222-12222-1-1-12222-1-1-2-2-1-1-1-1111122-1-122-2-2-2-1-1111111000000-2-1-1-211-1-111000000000000
χ20222222-12222-1-1-12222-1-1-2-2-1-1-1-11111-2-2-1-1-2-2-2-2-2-1-11111110000002112-1-111-1-1000000000000
χ21222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-12211-2-22-2-211-1-111110000002-1-1-2-1-11111000000000000
χ22222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-2-211222-2-211-1-11111000000-211211-1-1-1-1000000000000
χ23222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-111112211-2-2-2221111-1-1-1-1000000-2-1-121111-1-1000000000000
χ24222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-11111-2-21122-2221111-1-1-1-1000000211-2-1-1-1-111000000000000
χ252222-2-222-2-222220000-2-2222-22-22222000000-20000-2-2000022-2-2000000000000-200020000000
χ262222-2-222-2-222220000-2-2222-22-22222000000-20000-2-20000-2-2220000000000002000-20000000
χ272222-2-222-2-222220000-2-2-2-22-22-2-2-2-2-20000002000022000022-2-20000000000002000-20000000
χ282222-2-222-2-222220000-2-2-2-22-22-2-2-2-2-200000020000220000-2-222000000000000-200020000000
χ292222-2-22-222-222222-2-2-2-200-22-220000002200000-2-20000000000220000000000000-2000200-20
χ302222-2-22-222-222222-2-2-2-200-22-220000002200000-2-20000000000-2-200000000000002000-20020
χ312222-2-22-222-2222-2-222-2-200-22-22000000-2-2000002200000000002200000000000002000-200-20
χ322222-2-22-222-2222-2-222-2-200-22-22000000-2-200000220000000000-2-20000000000000-200020020
χ332-22-22-2222-2-2-2-222-22-22-2002-2-220000002-2000002-20000002i−2i2i−2i000000000000000002i−2i00000
χ342-22-22-2222-2-2-2-222-22-22-2002-2-220000002-2000002-2000000−2i2i−2i2i00000000000000000−2i2i00000
χ352-22-22-2222-2-2-2-22-22-222-2002-2-22000000-2200000-220000002i−2i2i−2i00000000000000000−2i2i00000
χ362-22-22-2222-2-2-2-22-22-222-2002-2-22000000-2200000-22000000−2i2i−2i2i000000000000000002i−2i00000
χ372-22-2-2222-22-2-2-220000-220022-2-2000000000002i−2i00002i2i−2i−2i2i−2i−2i2i00000000000002-2000000000
χ382-22-2-2222-22-2-2-220000-220022-2-2000000000002i−2i00002i2i−2i−2i−2i2i2i−2i0000000000000-22000000000
χ392-22-2-2222-22-2-2-220000-220022-2-200000000000−2i2i0000−2i−2i2i2i2i−2i−2i2i0000000000000-22000000000
χ402-22-2-2222-22-2-2-220000-220022-2-200000000000−2i2i0000−2i−2i2i2i−2i2i2i−2i00000000000002-2000000000
χ412-22-2-222-22-22-2-222-2-22-2200-2-22200002-22-22-2000-2200000000000002-20002-200000000000000
χ422-22-2-222-22-22-2-222-2-22-2200-2-2220000-222-2-22000-220000000000000-22000-2200000000000000
χ432-22-2-222-22-22-2-22-222-2-2200-2-22200002-2-22-220002-200000000000002-2000-2200000000000000
χ442-22-2-222-22-22-2-22-222-2-2200-2-2220000-22-222-20002-20000000000000-220002-200000000000000
χ452-22-2-22-1-22-2211-12-2-221-10011-1-1−i3−i3i3i32-2-112-20001-1−i3i3−i3i3−i3i30000000-110−i3i3-11−i3i3000000000000
χ462-22-2-22-1-22-2211-12-2-221-10011-1-1−i3−i3i3i3-22-11-220001-1−i3i3−i3i3−i3i300000001-10i3−i31-1i3−i3000000000000
χ472-22-2-22-1-22-2211-12-2-221-10011-1-1i3i3−i3−i32-2-112-20001-1i3−i3i3−i3i3−i30000000-110i3−i3-11i3−i3000000000000
χ482-22-2-22-1-22-2211-12-2-221-10011-1-1i3i3−i3−i3-22-11-220001-1i3−i3i3−i3i3−i300000001-10−i3i31-1−i3i3000000000000
χ492-22-2-22-1-22-2211-1-222-21-10011-1-1−i3−i3i3i32-21-1-22000-11−i3i3i3−i3i3−i30000000-110−i3i31-1i3−i3000000000000
χ502-22-2-22-1-22-2211-1-222-21-10011-1-1−i3−i3i3i3-221-12-2000-11−i3i3i3−i3i3−i300000001-10i3−i3-11−i3i3000000000000
χ512-22-2-22-1-22-2211-1-222-21-10011-1-1i3i3−i3−i32-21-1-22000-11i3−i3−i3i3−i3i30000000-110i3−i31-1−i3i3000000000000
χ522-22-2-22-1-22-2211-1-222-21-10011-1-1i3i3−i3−i3-221-12-2000-11i3−i3−i3i3−i3i300000001-10−i3i3-11i3−i3000000000000
χ534444444-4-4-4-444400004400-4-4-4-40000000000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-20022220000000000000000023−23−23230000000000000000000000000000
χ55444444-2-4-4-4-4-2-2-20000-2-200222200000000000000000−232323−230000000000000000000000000000
χ564444-4-4-24-4-44-2-2-200002244-22-22-2-2-2-2000000-400002200000000000000000000000000000000
χ574444-4-4-24-4-44-2-2-2000022-4-4-22-22222200000040000-2-200000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-244-4-422002-22-2000000-2-200000220000000000000000000000000000000000
χ594444-4-4-2-444-4-2-2-2-4-44422002-22-20000002200000-2-20000000000000000000000000000000000
χ6044-4-400400004-4-4000000−2i22i20000−2i22i2−2i22i2000000000000000000000−2i22i20000000000000000002-200
χ6144-4-400400004-4-4000000−2i22i20000−2i22i2−2i22i20000000000000000000002i2−2i2000000000000000000-2200
χ6244-4-400400004-4-40000002i2−2i200002i2−2i22i2−2i2000000000000000000000−2i22i2000000000000000000-2200
χ6344-4-400400004-4-40000002i2−2i200002i2−2i22i2−2i20000000000000000000002i2−2i20000000000000000002-200
χ644-44-44-44-4-444-4-4400004-400-444-40000000000000000000000000000000000000000000000000
χ654-44-44-4-244-4-422-24-44-4-2200-222-2000000-2200000-220000000000000000000000000000000000
χ664-44-44-4-244-4-422-2-44-44-2200-222-20000002-2000002-20000000000000000000000000000000000
χ674-44-44-4-2-4-44422-20000-22002-2-22−2i3−2i32i32i3000000000002i3−2i300000000000000000000000000000000
χ684-44-44-4-2-4-44422-20000-22002-2-222i32i3−2i3−2i300000000000−2i32i300000000000000000000000000000000
χ694-44-4-44-24-44-422-200002-200-2-222000000000004i−4i0000−2i−2i2i2i0000000000000000000000000000
χ704-44-4-44-24-44-422-200002-200-2-22200000000000−4i4i00002i2i−2i−2i0000000000000000000000000000
χ7188-8-800-40000-444000000−4i24i200002i2−2i22i2−2i2000000000000000000000000000000000000000000000
χ7288-8-800-40000-4440000004i2−4i20000−2i22i2−2i22i2000000000000000000000000000000000000000000000
χ738-8-880080000-88-80000000000000000000000000000000000000000000000000000000000000
χ748-8-8800-400004-4400000000000026−26−2626000000000000000000000000000000000000000000000
χ758-8-8800-400004-44000000000000−262626−26000000000000000000000000000000000000000000000

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