Finite Group Databasebeta

← Group #10833332

Character table — Group #10833332

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222244444444448888888888888888888888888812121212121212121616161616161624242424242424244848
order1222223444466622446612121212224444446688121212121212121212121212121222448888668242424242444888848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1111-111
χ5111111111111111111111111-1-11111-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1
χ6111111111111111111111111-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11-1-1-1111
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
χ911111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1111-1-111-1-1-11-1
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-111-1-1111-11
χ1111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-11-1-11-111-1-11
χ1211111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-11-1-111-1
χ1311111111111111-1-1-1-1111111-1-111-1-111-1-11111-1-111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-11-1-11-11
χ1411111111111111-1-1-1-1111111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-11-1
χ1511111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111-1-1-1-1-11111-1
χ1611111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11
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
χ21222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12222-2-2-2-211-2-2-1-111-1-11111111100000000-1-1211-1-10000000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-2222211-2-2111111-1-1-1-1-1-1-1-100000000-1-1-211110000000000
χ23222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-222-2-2221122-1-111-1-11111-1-1-1-10000000011-2-1-1110000000000
χ24222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-222-2-21122111111-1-1-1-1111100000000112-1-1-1-10000000000
χ252222-2-222-2-2222222-2-2-2-22-22-200000000220000-2-20000000000000000220000000-2002000-200
χ262222-2-222-2-2222222-2-2-2-22-22-200000000220000-2-20000000000000000-2-20000000200-2000200
χ272222-2-222-2-22222-2-222-2-22-22-200000000-2-20000220000000000000000220000000200-2000-200
χ282222-2-222-2-22222-2-222-2-22-22-200000000-2-20000220000000000000000-2-20000000-2002000200
χ292222-2-22-222-22220000-2-2-22-22002-2000000002200-2-20000000022-2-2220000000000000-200000
χ302222-2-22-222-22220000-2-2-22-22002-2000000002200-2-200000000-2-222-2-20000000000000200000
χ312222-2-22-222-22220000-2-2-22-2200-2200000000-2-200220000000022-2-2-2-20000000000000200000
χ322222-2-22-222-22220000-2-2-22-2200-2200000000-2-2002200000000-2-222220000000000000-200000
χ332-2-222-2222-2-2-22-200002-22-2-2200002i−2i0000000000002i2i−2i−2i00002-22-200000000000000002i−2i000
χ342-2-222-2222-2-2-22-200002-22-2-2200002i−2i0000000000002i2i−2i−2i0000-22-220000000000000000−2i2i000
χ352-2-222-2222-2-2-22-200002-22-2-220000−2i2i000000000000−2i−2i2i2i00002-22-20000000000000000−2i2i000
χ362-2-222-2222-2-2-22-200002-22-2-220000−2i2i000000000000−2i−2i2i2i0000-22-2200000000000000002i−2i000
χ372-2-222-22-2-222-22-22-22-22-2-222-22-20000002-22-2002-20000000000000000002-202-2000000000000
χ382-2-222-22-2-222-22-22-22-22-2-222-2-220000002-2-22002-2000000000000000000-220-22000000000000
χ392-2-222-22-2-222-22-2-22-222-2-222-22-2000000-22-2200-220000000000000000002-20-22000000000000
χ402-2-222-22-2-222-22-2-22-222-2-222-2-22000000-222-200-22000000000000000000-2202-2000000000000
χ412-2-222-2-1-2-2221-112-22-2-111-1-112-2000000-112-23−3-113−33−33−333−3−300000000-110-113−30000000000
χ422-2-222-2-1-2-2221-112-22-2-111-1-112-2000000-112-2−33-11−33−33−33−3−33300000000-110-11−330000000000
χ432-2-222-2-1-2-2221-112-22-2-111-1-11-22000000-11-223−3-113−33−33−3−3−333000000001-101-1−330000000000
χ442-2-222-2-1-2-2221-112-22-2-111-1-11-22000000-11-22−33-11−33−33−3333−3−3000000001-101-13−30000000000
χ452-2-222-2-1-2-2221-11-22-22-111-1-112-20000001-1-223−31-13−3−33−33−3−33300000000-1101-13−30000000000
χ462-2-222-2-1-2-2221-11-22-22-111-1-112-20000001-1-22−331-1−333−33−333−3−300000000-1101-1−330000000000
χ472-2-222-2-1-2-2221-11-22-22-111-1-11-220000001-12-23−31-13−3−33−3333−3−3000000001-10-11−330000000000
χ482-2-222-2-1-2-2221-11-22-22-111-1-11-220000001-12-2−331-1−333−33−3−3−333000000001-10-113−30000000000
χ492-2-22-222-22-22-22-22-2-22-22-2-222000000002-20000-2200000000002-2-220000000000002-20000000
χ502-2-22-222-22-22-22-22-2-22-22-2-222000000002-20000-220000000000-222-2000000000000-220000000
χ512-2-22-222-22-22-22-2-222-2-22-2-22200000000-2200002-200000000002-2-22000000000000-220000000
χ522-2-22-222-22-22-22-2-222-2-22-2-22200000000-2200002-20000000000-222-20000000000002-20000000
χ534444444-4-4-4-4444000044-4-4-4-4000000000000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-22222000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ55444444-2-4-4-4-4-2-2-20000-2-222220000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ564444-4-4-24-4-44-2-2-244-4-422-22-2200000000-2-200002200000000000000000000000000000000000
χ574444-4-4-24-4-44-2-2-2-4-44422-22-2200000000220000-2-200000000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-20000222-22-2004-400000000-2-20022000000000000000000000000000000000
χ594444-4-4-2-444-4-2-2-20000222-22-200-44000000002200-2-2000000000000000000000000000000000
χ604-44-40040000-4-4400000000000000002-2000000000000002-22-20000−2i22i2−2i22i200000000000000000
χ614-44-40040000-4-4400000000000000002-2000000000000002-22-200002i2−2i22i2−2i200000000000000000
χ624-44-40040000-4-440000000000000000-2200000000000000-22-220000−2i22i22i2−2i200000000000000000
χ634-44-40040000-4-440000000000000000-2200000000000000-22-2200002i2−2i2−2i22i200000000000000000
χ644-4-444-4-244-4-42-220000-22-222-200004i−4i000000000000−2i−2i2i2i00000000000000000000000000000
χ654-4-444-4-244-4-42-220000-22-222-20000−4i4i0000000000002i2i−2i−2i00000000000000000000000000000
χ664-4-44-4444-44-4-44-40000-4444-4-4000000000000000000000000000000000000000000000000000
χ674-4-44-44-24-44-42-2200002-2-2-22200000000000023−2300−2323000000000000000000000000000000000
χ684-4-44-44-24-44-42-2200002-2-2-222000000000000−23230023−23000000000000000000000000000000000
χ694-4-44-44-2-44-442-224-4-442-222-2-200000000-2200002-200000000000000000000000000000000000
χ704-4-44-44-2-44-442-22-444-42-222-2-2000000002-20000-2200000000000000000000000000000000000
χ7188-8-800800008-8-80000000000000000000000000000000000000000000000000000000000000
χ7288-8-800-40000-4440000000000000000000000000000000023−23−23230000000000000000000000000
χ7388-8-800-40000-44400000000000000000000000000000000−232323−230000000000000000000000000
χ748-88-800-4000044-400000000000000004-400000000000000-22-220000000000000000000000000
χ758-88-800-4000044-40000000000000000-44000000000000002-22-20000000000000000000000000

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