Finite Group Databasebeta

← Group #10833340

Character table — Group #10833340

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222244444444444444448888888888888888812121212121216161616161616161616242424242424242424242448
order1222223444466622446688121212122424242422668888812122424242424242244884668121224242424244444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ4111111111111111111111111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-111-1-1-111-1-11-1-1-1-1111-1-11-1
χ611111111111111111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-111-11
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
χ911111111111111-1-1-1-111111111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1111-111-1-1-1-1111-1-1-1-11-1-1-11
χ1011111111111111-1-1-1-111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-11111-1111-1
χ1111111111111111-1-1-1-1111111111111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-11-1-11111-111-1-1-1-1-1111-1
χ1211111111111111-1-1-1-1111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111111-1-1-11
χ1311111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-1-1-1111-1-111-1-1111-1-1
χ1411111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-111-1111-1-1-1-111-111-1-111-1-1-111
χ1511111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-11111-1-1-1-1-111-1-1-1-1-111
χ1611111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-1111-1-111111-1-1
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
χ18222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-2-2-1-1222-2-2-1-1-1-1-1-1-1-1000000-211-2111111000000000000
χ19222222-12222-1-1-12222-1-1-2-2-1-1-1-1111122-1-1-2-2-222-1-1111111000000-2-1-1-211-1-111000000000000
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
χ21222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-122112-2-2-2-211-1-111110000002-1-1-2-1-11111000000000000
χ22222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-2-2112-2-22211-1-11111000000-211211-1-1-1-1000000000000
χ23222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-111112211-222-2-21111-1-1-1-1000000-2-1-121111-1-1000000000000
χ24222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-11111-2-211-222221111-1-1-1-1000000211-2-1-1-1-111000000000000
χ252222-2-222-2-2222222-2-2-2-2002-22-20000002200000-2-20000000000220000000000-2000000200-20
χ262222-2-222-2-2222222-2-2-2-2002-22-20000002200000-2-20000000000-2-200000000002000000-20020
χ272222-2-222-2-22222-2-222-2-2002-22-2000000-2-2000002200000000002200000000002000000-200-20
χ282222-2-222-2-22222-2-222-2-2002-22-2000000-2-200000220000000000-2-20000000000-200000020020
χ292222-2-22-222-22220000-2-222-22-2222220000-2000000-2-2000022-2-200000000000002-2000000000
χ302222-2-22-222-22220000-2-222-22-2222220000-2000000-2-20000-2-2220000000000000-22000000000
χ312222-2-22-222-22220000-2-2-2-2-22-22-2-2-2-20000200000022000022-2-20000000000000-22000000000
χ322222-2-22-222-22220000-2-2-2-2-22-22-2-2-2-200002000000220000-2-22200000000000002-2000000000
χ332-2-222-222-22-2-2-2200002-20022-2-20000000002i−2i0000002i2i−2i−2i2-22-20000000000000002i−2i0000000
χ342-2-222-222-22-2-2-2200002-20022-2-20000000002i−2i0000002i2i−2i−2i-22-22000000000000000−2i2i0000000
χ352-2-222-222-22-2-2-2200002-20022-2-2000000000−2i2i000000−2i−2i2i2i2-22-2000000000000000−2i2i0000000
χ362-2-222-222-22-2-2-2200002-20022-2-2000000000−2i2i000000−2i−2i2i2i-22-220000000000000002i−2i0000000
χ372-2-222-22-22-22-2-222-22-22-200-2-22200002-22-20002-22-200000000000002-20002-200000000000000
χ382-2-222-22-22-22-2-222-22-22-200-2-2220000-222-2000-222-20000000000000-22000-2200000000000000
χ392-2-222-22-22-22-2-22-22-222-200-2-22200002-2-22000-22-2200000000000002-2000-2200000000000000
χ402-2-222-22-22-22-2-22-22-222-200-2-2220000-22-220002-2-220000000000000-220002-200000000000000
χ412-2-222-2-1-22-2211-12-22-2-110011-1-1−i3−i3i3i32-2-110002-2-11−i3i3−i3i3−i3i30000000-110−i3i3-11−i3i3000000000000
χ422-2-222-2-1-22-2211-12-22-2-110011-1-1−i3−i3i3i3-22-11000-22-11−i3i3−i3i3−i3i300000001-10i3−i31-1i3−i3000000000000
χ432-2-222-2-1-22-2211-12-22-2-110011-1-1i3i3−i3−i32-2-110002-2-11i3−i3i3−i3i3−i30000000-110i3−i3-11i3−i3000000000000
χ442-2-222-2-1-22-2211-12-22-2-110011-1-1i3i3−i3−i3-22-11000-22-11i3−i3i3−i3i3−i300000001-10−i3i31-1−i3i3000000000000
χ452-2-222-2-1-22-2211-1-22-22-110011-1-1−i3−i3i3i32-21-1000-221-1−i3i3i3−i3i3−i30000000-110−i3i31-1i3−i3000000000000
χ462-2-222-2-1-22-2211-1-22-22-110011-1-1−i3−i3i3i3-221-10002-21-1−i3i3i3−i3i3−i300000001-10i3−i3-11−i3i3000000000000
χ472-2-222-2-1-22-2211-1-22-22-110011-1-1i3i3−i3−i32-21-1000-221-1i3−i3−i3i3−i3i30000000-110i3−i31-1−i3i3000000000000
χ482-2-222-2-1-22-2211-1-22-22-110011-1-1i3i3−i3−i3-221-10002-21-1i3−i3−i3i3−i3i300000001-10−i3i3-11i3−i3000000000000
χ492-2-22-222-2-222-2-222-2-22-2200-222-20000002-200000-220000002-2-22000000000000000002-200000
χ502-2-22-222-2-222-2-222-2-22-2200-222-20000002-200000-22000000-222-200000000000000000-2200000
χ512-2-22-222-2-222-2-22-222-2-2200-222-2000000-22000002-20000002-2-2200000000000000000-2200000
χ522-2-22-222-2-222-2-22-222-2-2200-222-2000000-22000002-2000000-222-2000000000000000002-200000
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
χ564444-4-4-24-4-44-2-2-244-4-42200-22-22000000-2-200000220000000000000000000000000000000000
χ574444-4-4-24-4-44-2-2-2-4-4442200-22-220000002200000-2-20000000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-2000022442-22-2-2-2-2-20000-40000002200000000000000000000000000000000
χ594444-4-4-2-444-4-2-2-2000022-4-42-22-2222200004000000-2-200000000000000000000000000000000
χ604-44-400400004-4-4000000−2i22i20000−2i22i2−2i22i2000000000000000000000−2i22i20000000000000000002-200
χ614-44-400400004-4-4000000−2i22i20000−2i22i2−2i22i20000000000000000000002i2−2i2000000000000000000-2200
χ624-44-400400004-4-40000002i2−2i200002i2−2i22i2−2i2000000000000000000000−2i22i2000000000000000000-2200
χ634-44-400400004-4-40000002i2−2i200002i2−2i22i2−2i20000000000000000000002i2−2i20000000000000000002-200
χ644-4-444-4-24-44-422-20000-2200-2-2220000000004i−4i000000−2i−2i2i2i0000000000000000000000000000
χ654-4-444-4-24-44-422-20000-2200-2-222000000000−4i4i0000002i2i−2i−2i0000000000000000000000000000
χ664-4-44-44444-4-4-4-440000-44004-4-440000000000000000000000000000000000000000000000000
χ674-4-44-44-244-4-422-200002-200-222-2−2i3−2i32i32i3000000000002i3−2i300000000000000000000000000000000
χ684-4-44-44-244-4-422-200002-200-222-22i32i3−2i3−2i300000000000−2i32i300000000000000000000000000000000
χ694-4-44-44-2-4-44422-24-4-442-2002-2-22000000-22000002-20000000000000000000000000000000000
χ704-4-44-44-2-4-44422-2-444-42-2002-2-220000002-200000-220000000000000000000000000000000000
χ7188-8-80080000-88-80000000000000000000000000000000000000000000000000000000000000
χ7288-8-800-400004-4400000000000026−26−2626000000000000000000000000000000000000000000000
χ7388-8-800-400004-44000000000000−262626−26000000000000000000000000000000000000000000000
χ748-88-800-40000-444000000−4i24i200002i2−2i22i2−2i2000000000000000000000000000000000000000000000
χ758-88-800-40000-4440000004i2−4i20000−2i22i2−2i22i2000000000000000000000000000000000000000000000

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