Finite Group Databasebeta

← Group #10858727

Character table — Group #10858727

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222244444444448888888888888888888888888812121212121212121616161616161624242424242424244848
order1222223444466622446612121212224444446688121212121212121212121212121244448888668242424244444888848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-111111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ5111111111111111111111111-1-11111-1-111-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111-1-1
χ6111111111111111111111111-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-111-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1111-1-111111-1-1
χ911111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-11-1-11-111-1-11
χ1011111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-111-11-1-111-1
χ1111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1111-1-11-1-1-111-1
χ1211111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-1-111-111-1111-1-11
χ1311111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1111-11-1
χ1411111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11-11
χ1511111111111111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1-11-1-11-11
χ1611111111111111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-11-1
χ17222222-12222-1-1-12222-1-1-1-1-1-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-12-1-1-1-10000000000
χ18222222-12222-1-1-12222-1-1-1-1-1-122-2-2-2-2-2-2-1-12211-1-1111111111100000000-1-1-2-1-1110000000000
χ19222222-12222-1-1-12222-1-1-1-1-1-1-2-22222-2-2-1-1-2-2-1-1-1-1-1-1-1-1-1-111110000000011-211110000000000
χ20222222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-222-1-1-2-211-1-1111111-1-1-1-10000000011211-1-10000000000
χ21222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12222-2-22211-2-21111-1-1-1-111-1-1-1-100000000-1-1-211110000000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-222-2-211-2-2-1-1111111-1-1111100000000-1-1211-1-10000000000
χ23222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-222-2-2-2-211221111-1-1-1-111111100000000112-1-1-1-10000000000
χ24222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-222221122-1-1111111-1-1-1-1-1-10000000011-2-1-1110000000000
χ252222-2-222-2-222220000-2-22-22-200002-2000000-2-200000022000022-2-200-2-200000000000000200
χ262222-2-222-2-222220000-2-22-22-200002-2000000-2-2000000220000-2-222002200000000000000-200
χ272222-2-222-2-222220000-2-22-22-20000-2200000022000000-2-2000022-2-2002200000000000000-200
χ282222-2-222-2-222220000-2-22-22-20000-2200000022000000-2-20000-2-22200-2-200000000000000200
χ292222-2-22-222-222222-2-2-2-2-22-2200000000220000-2-20000000000000022000000000-2002-200000
χ302222-2-22-222-222222-2-2-2-2-22-2200000000220000-2-200000000000000-2-2000000000200-2200000
χ312222-2-22-222-2222-2-222-2-2-22-2200000000-2-20000220000000000000022000000000200-2-200000
χ322222-2-22-222-2222-2-222-2-2-22-2200000000-2-200002200000000000000-2-2000000000-2002200000
χ3322-2-22-2222-2-2-22-22-22-22-22-2-222-20000002-22-2002-20000000000000000002-202-2000000000000
χ3422-2-22-2222-2-2-22-22-22-22-22-2-22-220000002-2-22002-2000000000000000000-220-22000000000000
χ3522-2-22-2222-2-2-22-2-22-222-22-2-222-2000000-22-2200-220000000000000000002-20-22000000000000
χ3622-2-22-2222-2-2-22-2-22-222-22-2-22-22000000-222-200-22000000000000000000-2202-2000000000000
χ3722-2-22-22-2-222-22-200002-2-222-2002i−2i0000000000002i2i−2i−2i0000002i−2i2i−2i00000000000000002-2000
χ3822-2-22-22-2-222-22-200002-2-222-2002i−2i0000000000002i2i−2i−2i000000−2i2i−2i2i0000000000000000-22000
χ3922-2-22-22-2-222-22-200002-2-222-200−2i2i000000000000−2i−2i2i2i0000002i−2i2i−2i0000000000000000-22000
χ4022-2-22-22-2-222-22-200002-2-222-200−2i2i000000000000−2i−2i2i2i000000−2i2i−2i2i00000000000000002-2000
χ4122-2-22-2-122-2-21-112-22-2-11-111-12-2000000-112-23−3-113−33−33−333−3−300000000-110-113−30000000000
χ4222-2-22-2-122-2-21-112-22-2-11-111-12-2000000-112-2−33-11−33−33−33−3−33300000000-110-11−330000000000
χ4322-2-22-2-122-2-21-112-22-2-11-111-1-22000000-11-223−3-113−33−33−3−3−333000000001-101-1−330000000000
χ4422-2-22-2-122-2-21-112-22-2-11-111-1-22000000-11-22−33-11−33−33−3333−3−3000000001-101-13−30000000000
χ4522-2-22-2-122-2-21-11-22-22-11-111-12-20000001-1-223−31-1−33−333−3−3−33300000000-1101-13−30000000000
χ4622-2-22-2-122-2-21-11-22-22-11-111-12-20000001-1-22−331-13−33−3−3333−3−300000000-1101-1−330000000000
χ4722-2-22-2-122-2-21-11-22-22-11-111-1-220000001-12-23−31-1−33−333−333−3−3000000001-10-11−330000000000
χ4822-2-22-2-122-2-21-11-22-22-11-111-1-220000001-12-2−331-13−33−3−33−3−333000000001-10-113−30000000000
χ4922-2-2-222-22-22-22-22-2-22-22-2-222000000002-20000-2200000000002i−2i−2i2i0000000000002i−2i0000000
χ5022-2-2-222-22-22-22-22-2-22-22-2-222000000002-20000-220000000000−2i2i2i−2i000000000000−2i2i0000000
χ5122-2-2-222-22-22-22-2-222-2-22-2-22200000000-2200002-200000000002i−2i−2i2i000000000000−2i2i0000000
χ5222-2-2-222-22-22-22-2-222-2-22-2-22200000000-2200002-20000000000−2i2i2i−2i0000000000002i−2i0000000
χ534444444-4-4-4-4444000044-4-4-4-4000000000000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-222220000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ55444444-2-4-4-4-4-2-2-20000-2-2222200000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2000022-22-2200004-400000022000000-2-200000000000000000000000000000
χ574444-4-4-24-4-44-2-2-2000022-22-220000-44000000-2-20000002200000000000000000000000000000
χ584444-4-4-2-444-4-2-2-244-4-4222-22-200000000-2-200002200000000000000000000000000000000000
χ594444-4-4-2-444-4-2-2-2-4-444222-22-200000000220000-2-200000000000000000000000000000000000
χ6044-4-44-4-2-4-4442-220000-222-2-22004i−4i000000000000−2i−2i2i2i0000000000000000000000000000000
χ6144-4-44-4-2-4-4442-220000-222-2-2200−4i4i0000000000002i2i−2i−2i0000000000000000000000000000000
χ6244-4-4-4444-44-4-44-40000-4444-4-4000000000000000000000000000000000000000000000000000
χ6344-4-4-44-24-44-42-2200002-2-2-22200000000000023−23000000−232300000000000000000000000000000
χ6444-4-4-44-24-44-42-2200002-2-2-222000000000000−232300000023−2300000000000000000000000000000
χ6544-4-4-44-2-44-442-224-4-442-222-2-200000000-2200002-200000000000000000000000000000000000
χ6644-4-4-44-2-44-442-22-444-42-222-2-2000000002-20000-2200000000000000000000000000000000000
χ674-44-40040000-4-4400000000000000002-2000000000000002-22-20000−2i22i2−2i22i200000000000000000
χ684-44-40040000-4-4400000000000000002-2000000000000002-22-200002i2−2i22i2−2i200000000000000000
χ694-44-40040000-4-440000000000000000-2200000000000000-22-220000−2i22i22i2−2i200000000000000000
χ704-44-40040000-4-440000000000000000-2200000000000000-22-2200002i2−2i2−2i22i200000000000000000
χ718-88-800-4000044-400000000000000004-400000000000000-22-220000000000000000000000000
χ728-88-800-4000044-40000000000000000-44000000000000002-22-20000000000000000000000000
χ738-8-8800800008-8-80000000000000000000000000000000000000000000000000000000000000
χ748-8-8800-40000-4440000000000000000000000000000000023−23−23230000000000000000000000000
χ758-8-8800-40000-44400000000000000000000000000000000−232323−230000000000000000000000000

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