Finite Group Databasebeta

← Group #10772494

Character table — Group #10772494

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222222444444444446666668888888888888888121212121212121616161616161616161624242424242424324848
order1222344446664448888121212122244442244466881212122424242422488884681212122424242444444881228
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-11111111111111111-11-1-1-1-111-1-1-1-1-11-111-1-1-1
χ311111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-1
χ411111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1111-11-1-1-111
χ5111111111111111-1-1-1-111111111111111111-1-1111-1-1-1-1111-1-1-1-1-11-1111-1-1-1-111111-1-1-1-1-1
χ6111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-11-1-1-1111
χ7111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-1-1-1-111-111
χ8111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111-1-1-1-1-111111-11111-1-1
χ9111111111111-1-1111111111111111-111-1-111-1-1-1-111111-1-111111-1-111-1-1-1-1111-1-1-11-1-1-1-11
χ10111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-111111-1-1111111-1-1-111-1-1-1-1-111-1-1-1-111-1
χ11111111111111-1-1111111111-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1-111-1111-111-11-1
χ12111111111111-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-111-1-1-1-11-1-111111-11
χ13111111111111-1-11-1-1-1-11111111111-111-1-11111-1-11-1-1-1-1-1-11-1-1-1-11-1-11-1-111-1-11-1-1-111111-1
χ14111111111111-1-11-1-1-1-11111111111-1-1-111-1-111-1-11-1-1-1-1-1-11-1-1-1-1-1-11-1111111-111-1-111-1-11
χ15111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-11-1-1-1-111-111111-1-11-1-111-1-1-1111-1-1-11-11
χ16111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-111-11111-1-11-11111111-1-111-1-1-11-1
χ17222222-2-2222200-20000-22-2222-2-22202-200220000-2000000-20000000-20000002000-200000
χ18222222-2-2222200-20000-22-2222-2-2220-2200-2-20000-2000000-200000002000000-2000200000
χ19222222-2-2222200-20000-22-22-2-222-2-202-200220000-200000020000000-2000000-2000200000
χ20222222-2-2222200-20000-22-22-2-222-2-20-2200-2-20000-20000002000000020000002000-200000
χ2122222-222-222222-200002-22-222-2-2-2-2-20000000022-20000-2-2200000-2000000000002000000
χ2222222-222-222222-200002-22-2-2-22222-20000000022-2000022-200000-200000000000-2000000
χ2322222-222-2222-2-2-200002-22-222-2-2-2-2200000000-2-2-2000022200000200000000000-2000000
χ2422222-222-2222-2-2-200002-22-2-2-22222200000000-2-2-20000-2-2-2000002000000000002000000
χ2522222-2-2-2-22220020000-2-2-2-22222-2-20002-20000002000000-2000000002-2000002-20000000
χ2622222-2-2-2-22220020000-2-2-2-22222-2-2000-220000002000000-200000000-2200000-220000000
χ2722222-2-2-2-22220020000-2-2-2-2-2-2-2-2220002-200000020000002000000002-200000-220000000
χ2822222-2-2-2-22220020000-2-2-2-2-2-2-2-222000-220000002000000200000000-22000002-20000000
χ292222-12222-1-1-12222222-1-1-1-100000022222-1-122-1-1-1-1-1-1-100000002-12-1-1-1-1-1-1-10000000-100
χ302222-12222-1-1-12222222-1-1-1-10000002-2-2-2-21122-1-1-1-1-1-1-10000000-2-1-2111-1-1110000000100
χ312222-12222-1-1-1222-2-2-2-2-1-1-1-100000022222-1-1-2-2-1-1-111110000000-2-1-2-1-1-111110000000100
χ322222-12222-1-1-1222-2-2-2-2-1-1-1-10000002-2-2-2-211-2-2-1-1-1111100000002-1211111-1-10000000-100
χ332222-12222-1-1-1-2-222222-1-1-1-1000000-222-2-2-1-1-2-211-1-1-1-1-10000000-212-11111-1-10000000100
χ342222-12222-1-1-1-2-222222-1-1-1-1000000-2-2-22211-2-211-1-1-1-1-1000000021-21-1-111110000000-100
χ352222-12222-1-1-1-2-22-2-2-2-2-1-1-1-1000000-222-2-2-1-12211-11111000000021-2-111-1-1110000000-100
χ362222-12222-1-1-1-2-22-2-2-2-2-1-1-1-1000000-2-2-222112211-111110000000-2121-1-1-1-1-1-10000000100
χ372-22-2202-202-2-22i−2i022−2−2-2020002i−2i2i−2i0000000−i2i22i−2i022−2−22-20−i2−i2i2i2000000−i2i200000002−2000
χ382-22-2202-202-2-22i−2i022−2−2-202000−2i2i−2i2i0000000−i2i22i−2i022−2−2-220i2i2−i2−i2000000−i2i20000000−22000
χ392-22-2202-202-2-22i−2i0−2−222-2020002i−2i2i−2i0000000i2−i22i−2i0−2−2222-20i2i2−i2−i2000000i2−i20000000−22000
χ402-22-2202-202-2-22i−2i0−2−222-202000−2i2i−2i2i0000000i2−i22i−2i0−2−222-220−i2−i2i2i2000000i2−i200000002−2000
χ412-22-2202-202-2-2−2i2i022−2−2-2020002i−2i2i−2i0000000i2−i2−2i2i022−2−2-220−i2−i2i2i2000000i2−i20000000−22000
χ422-22-2202-202-2-2−2i2i022−2−2-202000−2i2i−2i2i0000000i2−i2−2i2i022−2−22-20i2i2−i2−i2000000i2−i200000002−2000
χ432-22-2202-202-2-2−2i2i0−2−222-2020002i−2i2i−2i0000000−i2i2−2i2i0−2−222-220i2i2−i2−i2000000−i2i200000002−2000
χ442-22-2202-202-2-2−2i2i0−2−222-202000−2i2i−2i2i0000000−i2i2−2i2i0−2−2222-20−i2−i2i2i2000000−i2i20000000−22000
χ454444-24-4-44-2-2-200-400002-22-200000004-400-2-2000020000000000000020000000000000000
χ464444-24-4-44-2-2-200-400002-22-20000000-4400220000200000000000000-20000000000000000
χ474444-2-444-4-2-2-244-40000-22-22000000-400000000-2-220000000000002000000000000000000
χ484444-2-444-4-2-2-2-4-4-40000-22-22000000400000000222000000000000-2000000000000000000
χ494444-2-4-4-4-4-2-2-2004000022220000000004-4000000-2000000000000000-2200000000000000
χ504444-2-4-4-4-4-2-2-200400002222000000000-44000000-20000000000000002-200000000000000
χ5144-4-440000-44-40002i−2i2i−2i00004-400000000000000002i−2i2i−2i0002i−2i2i−2i00000000000000000000
χ5244-4-440000-44-40002i−2i2i−2i0000-4400000000000000002i−2i2i−2i000−2i2i−2i2i00000000000000000000
χ5344-4-440000-44-4000−2i2i−2i2i00004-40000000000000000−2i2i−2i2i000−2i2i−2i2i00000000000000000000
χ5444-4-440000-44-4000−2i2i−2i2i0000-440000000000000000−2i2i−2i2i0002i−2i2i−2i00000000000000000000
χ554-44-440-4404-4-4000000040-40004i−4i−4i4i0000000000000000000000000000000000000000000
χ564-44-440-4404-4-4000000040-4000−4i4i4i−4i0000000000000000000000000000000000000000000
χ574-44-4-204-40-2224i−4i02222−22−2220-200000000000000−2i22i2−2i2i0−2−2220000000000000i2−i2000000000000
χ584-44-4-204-40-2224i−4i0−22−22222220-2000000000000002i2−2i2−2i2i022−2−20000000000000−i2i2000000000000
χ594-44-4-204-40-222−4i4i02222−22−2220-2000000000000002i2−2i22i−2i0−2−2220000000000000−i2i2000000000000
χ604-44-4-204-40-222−4i4i0−22−22222220-200000000000000−2i22i22i−2i022−2−20000000000000i2−i2000000000000
χ614-4-444400-4-4-44000−2i22i22i2−2i2040-4000000000000000000−2i22i22i2−2i2000000000000000000000000000
χ624-4-444400-4-4-440002i2−2i2−2i22i2040-40000000000000000002i2−2i2−2i22i2000000000000000000000000000
χ634-4-444-4004-4-4400000000-404000000000000000000000000022−22−222200000000000000000000
χ644-4-444-4004-4-4400000000-4040000000000000000000000000−222222−2200000000000000000000
χ654-4-44-2400-422-2000−2i22i22i2−2i20-20200000000000−2i32i300000i2−i2−i2i20000000000000006−60000000000
χ664-4-44-2400-422-2000−2i22i22i2−2i20-202000000000002i3−2i300000i2−i2−i2i2000000000000000−660000000000
χ674-4-44-2400-422-20002i2−2i2−2i22i20-20200000000000−2i32i300000−i2i2i2−i2000000000000000−660000000000
χ684-4-44-2400-422-20002i2−2i2−2i22i20-202000000000002i3−2i300000−i2i2i2−i20000000000000006−60000000000
χ6988-8-8-400004-440004i−4i4i−4i0000000000000000000000−2i2i−2i2i000000000000000000000000000
χ7088-8-8-400004-44000−4i4i−4i4i00000000000000000000002i−2i2i−2i000000000000000000000000000
χ718-88-8-40-880-4440000000-40400000000000000000000000000000000000000000000000000
χ728-8-88-4-800844-40000000040-40000000000000000000000000000000000000000000000000

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