Finite Group Databasebeta

← Group #10833503

Character table — Group #10833503

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222222224444444444444444888888888888888881212121216161616161616161616242424242424242424244848
order122223444461212224444666121212121212122444466881212121212121212224446812121224242424244488888848
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111-1-111111-1-1-1-1111-1-1-1111111-1-1-1-1-1-11111-11-11-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111-1-111111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111-1-111111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-111111-11-11111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111111111-1-1
χ91111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-11111-1-1-1-11-1
χ101111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11111-11
χ111111111111111-1-1-1-1111111111111-1-11-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-111-1-1-1-111-1-111-11
χ121111111111111-1-1-1-1111111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-111-1-11-1
χ131111111111111-1-1-1-1-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111111111-1111-1-1-1-1-1-111-1-111-1-1-11
χ141111111111111-1-1-1-1-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-1-1-111-1-111-1-1111-1
χ151111111111111-1-1-1-1-1-111111-1-1-1-11-1-1-111-1-111-1-1-1-111111111-1-11-1-1-11111-1-1-1-1-1-111111-1
χ161111111111111-1-1-1-1-1-111111-1-1-1-11-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-11
χ1722222-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-100002-12-1-1-1-1-1-1-1000000000000
χ1822222-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-2-2-1-1-1-1-1-1-1-10000-21-21111111000000000000
χ1922222-12222-1-1-12222-2-2-1-1-1-1-11111-122-2-2-2-1-122-1-11111110000-2-1-2-11111-1-1000000000000
χ2022222-12222-1-1-12222-2-2-1-1-1-1-11111-1-2-2-2-2-2-1-1-2-2-1-111111100002121-1-1-1-111000000000000
χ2122222-12222-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1222-2-211-2-211-1-111110000-2-12-111-1-111000000000000
χ2222222-12222-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-2-22-2-2112211-1-11111000021-21-1-111-1-1000000000000
χ2322222-12222-1-1-1-2-2-2-2-2-2-1-1-1-1-11111-122-22211-2-21111-1-1-1-100002-1-2-1-1-11111000000000000
χ2422222-12222-1-1-1-2-2-2-2-2-2-1-1-1-1-11111-1-2-2-22211221111-1-1-1-10000-212111-1-1-1-1000000000000
χ25222-2-2222-2-22220000002-2-22-20000-20002i−2i000000002i2i−2i−2i22-2-200000000000000002i−2i0000
χ26222-2-2222-2-22220000002-2-22-20000-20002i−2i000000002i2i−2i−2i-2-2220000000000000000−2i2i0000
χ27222-2-2222-2-22220000002-2-22-20000-2000−2i2i00000000−2i−2i2i2i22-2-20000000000000000−2i2i0000
χ28222-2-2222-2-22220000002-2-22-20000-2000−2i2i00000000−2i−2i2i2i-2-22200000000000000002i−2i0000
χ29222-2-22-2-2222-2-22-22-2002-2-2-22000022-20002-22-22-20000000000020-200002-2000000000000
χ30222-2-22-2-2222-2-22-22-2002-2-2-2200002-220002-2-222-200000000000-2020000-22000000000000
χ31222-2-22-2-2222-2-2-22-22002-2-2-22000022-2000-22-22-220000000000020-20000-22000000000000
χ32222-2-22-2-2222-2-2-22-22002-2-2-2200002-22000-222-2-2200000000000-20200002-2000000000000
χ33222-2-2-1-2-222-1112-22-200-1111-133−3−3-12-2000-112-2-113−33−33−300000-1013−33−3-11000000000000
χ34222-2-2-1-2-222-1112-22-200-1111-133−3−3-1-22000-11-22-113−33−33−30000010-1−33−331-1000000000000
χ35222-2-2-1-2-222-1112-22-200-1111-1−3−333-12-2000-112-2-11−33−33−3300000-101−33−33-11000000000000
χ36222-2-2-1-2-222-1112-22-200-1111-1−3−333-1-22000-11-22-11−33−33−330000010-13−33−31-1000000000000
χ37222-2-2-1-2-222-111-22-2200-1111-133−3−3-12-20001-1-221-13−3−33−3300000-101−333−31-1000000000000
χ38222-2-2-1-2-222-111-22-2200-1111-133−3−3-1-220001-12-21-13−3−33−330000010-13−3−33-11000000000000
χ39222-2-2-1-2-222-111-22-2200-1111-1−3−333-12-20001-1-221-1−333−33−300000-1013−3−331-1000000000000
χ40222-2-2-1-2-222-111-22-2200-1111-1−3−333-1-220001-12-21-1−333−33−30000010-1−333−3-11000000000000
χ4122-22-22-22-222222-2-2200-22-2-2-200002000002-200-220000002-22-200000000002-20000000000
χ4222-22-22-22-222222-2-2200-22-2-2-200002000002-200-22000000-22-220000000000-220000000000
χ4322-22-22-22-22222-222-200-22-2-2-20000200000-22002-20000002-22-20000000000-220000000000
χ4422-22-22-22-22222-222-200-22-2-2-20000200000-22002-2000000-22-2200000000002-20000000000
χ4522-2-2222-2-222-2-222-2-200-2-222-200002000002200-2-200000000000000000000002-200002-200
χ4622-2-2222-2-222-2-222-2-200-2-222-200002000002200-2-20000000000000000000000-220000-2200
χ4722-2-2222-2-222-2-2-2-22200-2-222-20000200000-2-2002200000000000000000000002-20000-2200
χ4822-2-2222-2-222-2-2-2-22200-2-222-20000200000-2-200220000000000000000000000-2200002-200
χ4922-2-222-222-2222000022-2-22-222222-200-200000000-2-200002-2-22000000000000002-2000000
χ5022-2-222-222-2222000022-2-22-222222-200-200000000-2-20000-222-200000000000000-22000000
χ5122-2-222-222-22220000-2-2-2-22-22-2-2-2-2-2002000000002200002-2-2200000000000000-22000000
χ5222-2-222-222-22220000-2-2-2-22-22-2-2-2-2-200200000000220000-222-2000000000000002-2000000
χ53444444-4-4-4-44-4-4000000444-4-40000-40000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-222000000-2-2-222000020000000000000−2i32i32i3−2i300000000000000000000000000
χ5544444-2-4-4-4-4-222000000-2-2-2220000200000000000002i3−2i3−2i32i300000000000000000000000000
χ56444-4-4-244-4-4-2-2-2000000-222-22000020004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ57444-4-4-244-4-4-2-2-2000000-222-2200002000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ5844-44-444-44-44-4-4000000-44-4440000-40000000000000000000000000000000000000000000
χ5944-44-4-24-44-4-2220000002-22-2-22323−23−23200000000000−2323000000000000000000000000000000
χ6044-44-4-24-44-4-2220000002-22-2-2−23−23232320000000000023−23000000000000000000000000000000
χ6144-44-4-2-44-44-2-2-24-4-44002-22220000-200000-22002-200000000000000000000000000000000
χ6244-44-4-2-44-44-2-2-2-444-4002-22220000-2000002-200-2200000000000000000000000000000000
χ6344-4-44-24-4-44-22244-4-40022-2-220000-200000-2-2002200000000000000000000000000000000
χ6444-4-44-24-4-44-222-4-4440022-2-220000-2000002200-2-200000000000000000000000000000000
χ6544-4-44-2-444-4-2-2-200004422-22-2-2-2-2-2200-40000000022000000000000000000000000000000
χ6644-4-44-2-444-4-2-2-20000-4-422-22-22222200400000000-2-2000000000000000000000000000000
χ678-800080000-80000004-4000004-44-400000000000000000000000000000000000000000000
χ688-800080000-8000000-4400000-44-4400000000000000000000000000000000000000000000
χ698-8000-40000443−4300004-400000−2+232−23−2−232+2300000000000000000000000000000000000000000000
χ708-8000-40000443−430000-44000002−23−2+232+23−2−2300000000000000000000000000000000000000000000
χ718-8000-400004−434300004-400000−2−232+23−2+232−2300000000000000000000000000000000000000000000
χ728-8000-400004−43430000-44000002+23−2−232−23−2+2300000000000000000000000000000000000000000000

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