Finite Group Databasebeta

← Group #10827331

Character table — Group #10827331

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888812121212161616161616161616162424242424242424242424242424
order12222234444446662246666121212121212444468888122424242424242424444488121212122424242422244444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-11111
χ711111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-11-1-1-1-11111
χ811111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-11-11111-1-1-1-1
χ911111111-1-1111111-1-1-111-1-11-1-111111-1-1-111-1-1-11111-1-1-1-111111-111-1-111-1-1111-1-1-1-11-1-111-1-1
χ1011111111-1-1111111-1-1-111-1-11-1-111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-11111-111-1-111
χ1111111111-1-1111111-1-1-111-1-11-1-111111-1-1-1-1-111-1-1-1-1-111111111-1111-1-1-1-1111-1-1-1-1-1-1111-1-111
χ1211111111-1-1111111-1-1-111-1-11-1-111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1111111-1-1-111-1-1
χ1311111111-1-1111111-1-1-111-1-11-1-1111-1-111-111-1-1-11111-1-1-1-11111-11-1-111-1-111-111-11-11-1-1-1-1-111
χ1411111111-1-1111111-1-1-111-1-11-1-1111-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11-11-111111-1-1
χ1511111111-1-1111111-1-1-111-1-11-1-1111-1-111-1-1-111-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11-11-11111-1-1
χ1611111111-1-1111111-1-1-111-1-11-1-1111-1-111-1-1-111-1-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-11-11-1-1-1-111
χ172222222-222-2-2-2222-2-2222-2-2-222-2-2-22-22-2-200002000000000000002-22-2000000000000000000
χ182222222-222-2-2-2222-2-2222-2-2-222-2-2-2-22-22-20000200000000000000-22-22000000000000000000
χ192222222-2-2-2-2-2-222222-22222-2-2-2-2-2-22-2-2220000-2000000000000002-2-22000000000000000000
χ202222222-2-2-2-2-2-222222-22222-2-2-2-2-2-2-222-220000-200000000000000-222-2000000000000000000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-1111111110000-2-2-1-1-1-1111100000000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-10000-2-21111111100000000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-2-2-1111111110000221111-1-1-1-100000000000000
χ25222222-12-2-2222-1-1-1-2-2-2-1-111-111-1-1-122-2-2122-2-21-1-1-1-1111100002-2-1-111-1-11100000000000000
χ26222222-12-2-2222-1-1-1-2-2-2-1-111-111-1-1-122-2-21-2-22211111-1-1-1-10000-22-1-11111-1-100000000000000
χ27222222-12-2-2222-1-1-1-2-2-2-1-111-111-1-1-1-2-222122-2-21-1-1-1-111110000-2211-1-111-1-100000000000000
χ28222222-12-2-2222-1-1-1-2-2-2-1-111-111-1-1-1-2-2221-2-22211111-1-1-1-100002-211-1-1-1-11100000000000000
χ29222222-1-222-2-2-2-1-1-1-2-22-1-1111-1-11112-22-210000-133−3−333−3−3000000-11-113−33−300000000000000
χ30222222-1-222-2-2-2-1-1-1-2-22-1-1111-1-11112-22-210000-1−3−333−3−333000000-11-11−33−3300000000000000
χ31222222-1-222-2-2-2-1-1-1-2-22-1-1111-1-1111-22-2210000-133−3−333−3−30000001-11-1−33−3300000000000000
χ32222222-1-222-2-2-2-1-1-1-2-22-1-1111-1-1111-22-2210000-1−3−333−3−3330000001-11-13−33−300000000000000
χ33222222-1-2-2-2-2-2-2-1-1-122-2-1-1-1-11111112-2-22-10000133−3−3−3−333000000-111-13−3−3300000000000000
χ34222222-1-2-2-2-2-2-2-1-1-122-2-1-1-1-11111112-2-22-100001−3−33333−3−3000000-111-1−333−300000000000000
χ35222222-1-2-2-2-2-2-2-1-1-122-2-1-1-1-1111111-222-2-10000133−3−3−3−3330000001-1-11−333−300000000000000
χ36222222-1-2-2-2-2-2-2-1-1-122-2-1-1-1-1111111-222-2-100001−3−33333−3−30000001-1-113−3−3300000000000000
χ372222-2-22222-2-222222-2-2-2-222222-2-220000-20000-20000000022-2-20000000000000-20200000000
χ382222-2-22222-2-222222-2-2-2-222222-2-220000-20000-200000000-2-222000000000000020-200000000
χ392222-2-222-2-2-2-22222-222-2-2-2-22-2-2-2-2200002000020000000022-2-2000000000000020-200000000
χ402222-2-222-2-2-2-22222-222-2-2-2-22-2-2-2-22000020000200000000-2-2220000000000000-20200000000
χ412222-2-22-22222-2222-22-2-2-2-2-2-22222-2000020000-20000000000000000000000200020-2-2000000
χ422222-2-22-22222-2222-22-2-2-2-2-2-22222-2000020000-20000000000000000000000-2000-2022000000
χ432222-2-22-2-2-222-22222-22-2-222-2-2-222-20000-20000200000000000000000000002000-202-2000000
χ442222-2-22-2-2-222-22222-22-2-222-2-2-222-20000-2000020000000000000000000000-200020-22000000
χ452-2-222-222002-2-2-2-220002-2002002-2-200000002i−2i000002i−2i2i−2i2i−2i2i−2i0000000000000000002-20000
χ462-2-222-222002-2-2-2-220002-2002002-2-200000002i−2i000002i−2i2i−2i−2i2i−2i2i000000000000000000-220000
χ472-2-222-222002-2-2-2-220002-2002002-2-20000000−2i2i00000−2i2i−2i2i2i−2i2i−2i000000000000000000-220000
χ482-2-222-222002-2-2-2-220002-2002002-2-20000000−2i2i00000−2i2i−2i2i−2i2i−2i2i0000000000000000002-20000
χ492-2-22-222200-22-2-2-22000-2200200-22-2000002i−2i0002i−2i2i−2i00002i−2i−2i2i000000000002-200000000000
χ502-2-22-222200-22-2-2-22000-2200200-22-2000002i−2i0002i−2i2i−2i0000−2i2i2i−2i00000000000-2200000000000
χ512-2-22-222200-22-2-2-22000-2200200-22-200000−2i2i000−2i2i−2i2i00002i−2i−2i2i00000000000-2200000000000
χ522-2-22-222200-22-2-2-22000-2200200-22-200000−2i2i000−2i2i−2i2i0000−2i2i2i−2i000000000002-200000000000
χ534444-4-4-2444-4-44-2-2-24-4-422-2-2-2-2-222-20000200002000000000000000000000000000000000000
χ544444-4-4-24-4-4-4-44-2-2-2-4442222-22222-20000-20000-2000000000000000000000000000000000000
χ554444-4-4-2-44444-4-2-2-2-44-422222-2-2-2-220000-200002000000000000000000000000000000000000
χ564444-4-4-2-4-4-444-4-2-2-24-4422-2-2222-2-22000020000-2000000000000000000000000000000000000
χ574-44-400404i−4i000-44-4000000004i−4i0000000000000000000000000000000000000000000002-22i−2i
χ584-44-400404i−4i000-44-4000000004i−4i000000000000000000000000000000000000000000000-22−2i2i
χ594-44-40040−4i4i000-44-400000000−4i4i0000000000000000000000000000000000000000000002-2−2i2i
χ604-44-40040−4i4i000-44-400000000−4i4i000000000000000000000000000000000000000000000-222i−2i
χ614-4-444-44-400-444-4-440004-400-400-4440000000000000000000000000000000000000000000000
χ624-4-444-4-24004-4-422-2000-2200-200-22200000004i−4i00000−2i2i−2i2i0000000000000000000000000000
χ634-4-444-4-24004-4-422-2000-2200-200-2220000000−4i4i000002i−2i2i−2i0000000000000000000000000000
χ644-4-444-4-2-400-44422-2000-22002002-2-200000000000000−2i32i32i3−2i30000000000000000000000000000
χ654-4-444-4-2-400-44422-2000-22002002-2-2000000000000002i3−2i3−2i32i30000000000000000000000000000
χ664-4-44-444-4004-44-4-44000-4400-4004-440000000000000000000000000000000000000000000000
χ674-4-44-44-2400-44-422-20002-200-2002-22000004i−4i000−2i2i−2i2i00000000000000000000000000000000
χ684-4-44-44-2400-44-422-20002-200-2002-2200000−4i4i0002i−2i2i−2i00000000000000000000000000000000
χ694-4-44-44-2-4004-4422-20002-200200-22-20000000000−2i32i32i3−2i300000000000000000000000000000000
χ704-4-44-44-2-4004-4422-20002-200200-22-200000000002i3−2i3−2i32i300000000000000000000000000000000
χ7188-8-80080000008-8-800000000000000000000000000000000000000000000000000000000000
χ7288-8-800-4000000-44400000−4i34i30000000000000000000000000000000000000000000000000000
χ7388-8-800-4000000-444000004i3−4i30000000000000000000000000000000000000000000000000000
χ748-88-800-408i−8i0004-4400000000−4i4i0000000000000000000000000000000000000000000000000
χ758-88-800-40−8i8i0004-44000000004i−4i0000000000000000000000000000000000000000000000000

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