Finite Group Databasebeta

← Group #10777936

Character table — Group #10777936

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222333344444444466668888888888888121212121216161616161616161616242424242424242432324848
order1222344446664444488881212121244444488888812242424242888844121224242424242424888888121222
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111111111-1-111-1-11-1-1-1-11-1-1-1-11-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111-1-1-1-11111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1111-1-111-1-111-1-111-1-1-11-11
χ711111111111111111-1-1-1-111111111-1-11111-1-11-1-1-1-11-1-1-1-1-11-1-111-1-111-1-111-1-111-11-11
χ811111111111111111-1-1-1-111111111-1-111-1-1111-1-1-1-11-1-1-1-11-1-1-1-1-11111-1-1-1-111111-11-1
χ9111111111111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ10111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ11111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ13111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11-1-1-1-1-111111-11111-1-1-1-1-1-1-1-111111-1-11
χ14111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-11111-1111-1-111-1-1-1-111-1-111-111-1
χ15111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-1-1-11111-11-1-111-1-11111-1-111-1-1-111-1
χ16111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-11-1-11
χ17222222-2-222222222-222-2-22-2-2222-2-200000000-2-2-222-2-2-2220000000000000000000000
χ18222222-2-222222222-2-2-2222-2-2222-2-200000000-222-2-2-222-2-20000000000000000000000
χ19222222-2-22222-2-2-2-2-222-2-22-2-22-2-22200000000-2-2-222222-2-20000000000000000000000
χ20222222-2-22222-2-2-2-2-2-2-2222-2-22-2-22200000000-222-2-22-2-2220000000000000000000000
χ2122222-222-22222222-20000-222-2-2-2222-2000000-20000-20000002-2000000-220000000000
χ2222222-222-22222222-20000-222-2-2-222-22000000-20000-2000000-220000002-20000000000
χ2322222-222-2222-2-2-2-2-20000-222-222-2-22-2000000-2000020000002-20000002-20000000000
χ2422222-222-2222-2-2-2-2-20000-222-222-2-2-22000000-200002000000-22000000-220000000000
χ2522222-2-2-2-2222222220000-2-2-2-2-2-2-2-2002i−2i00002000020000000000002i−2i0000002i−2i0000
χ2622222-2-2-2-2222222220000-2-2-2-2-2-2-2-200−2i2i0000200002000000000000−2i2i000000−2i2i0000
χ2722222-2-2-2-2222-2-2-2-220000-2-2-2-22222002i−2i000020000-20000000000002i−2i000000−2i2i0000
χ2822222-2-2-2-2222-2-2-2-220000-2-2-2-2222200−2i2i000020000-2000000000000−2i2i0000002i−2i0000
χ292222-12222-1-1-1000022222-1-1-1-1000022222222-1-1-1-1-10000022-1-1-1-1-1-1-1-100000000-1-100
χ302222-12222-1-1-1000022222-1-1-1-100002222-2-2-2-2-1-1-1-1-100000-2-2-1-11111-1-1000000001100
χ312222-12222-1-1-1000022222-1-1-1-10000-2-2-2-22222-1-1-1-1-100000-2-211-1-1-1-111000000001100
χ322222-12222-1-1-1000022222-1-1-1-10000-2-2-2-2-2-2-2-2-1-1-1-1-100000221111111100000000-1-100
χ332222-12222-1-1-100002-2-2-2-2-1-1-1-1000022-2-222-2-2-11111000002-2-1-1-1-1111100000000-1100
χ342222-12222-1-1-100002-2-2-2-2-1-1-1-1000022-2-2-2-222-1111100000-22-1-111-1-111000000001-100
χ352222-12222-1-1-100002-2-2-2-2-1-1-1-10000-2-22222-2-2-1111100000-2211-1-111-1-1000000001-100
χ362222-12222-1-1-100002-2-2-2-2-1-1-1-10000-2-222-2-222-11111000002-21111-1-1-1-100000000-1100
χ372-22-22-20022-2-22i2i−2i−2i0002-2200-22i−2i0000002−22−202-20002i−2i0000002−22−20000i2−i2i2−i2000000
χ382-22-22-20022-2-22i2i−2i−2i0002-2200-22i−2i000000−22−2202-20002i−2i000000−22−220000−i2i2−i2i2000000
χ392-22-22-20022-2-22i2i−2i−2i000-22200-22i−2i0000002−2−220-22000−2i2i0000002−2−220000i2−i2−i2i2000000
χ402-22-22-20022-2-22i2i−2i−2i000-22200-22i−2i000000−222−20-22000−2i2i000000−222−20000−i2i2i2−i2000000
χ412-22-22-20022-2-2−2i−2i2i2i0002-2200-2−2i2i0000002−22−202-2000−2i2i0000002−22−20000−i2i2−i2i2000000
χ422-22-22-20022-2-2−2i−2i2i2i0002-2200-2−2i2i000000−22−2202-2000−2i2i000000−22−220000i2−i2i2−i2000000
χ432-22-22-20022-2-2−2i−2i2i2i000-22200-2−2i2i0000002−2−220-220002i−2i0000002−2−220000−i2i2i2−i2000000
χ442-22-22-20022-2-2−2i−2i2i2i000-22200-2−2i2i000000−222−20-220002i−2i000000−222−20000i2−i2−i2i2000000
χ454444-24-4-44-2-2-20000-444-4-4-222-2000000000000222-2-2000000000000000000000000000
χ464444-24-4-44-2-2-20000-4-4-444-222-20000000000002-2-222000000000000000000000000000
χ474444-2-444-4-2-2-20000-400002-2-2200004-4000000200000000000-22000000000000000000
χ484444-2-444-4-2-2-20000-400002-2-220000-440000002000000000002-2000000000000000000
χ494444-2-4-4-4-4-2-2-200004000022220000004i−4i0000-200000000000000000−2i2i000000000000
χ504444-2-4-4-4-4-2-2-20000400002222000000−4i4i0000-2000000000000000002i−2i000000000000
χ5144-4-4404-40-44-44i−4i4i−4i0000004-40004i−4i0000000000000000000000000000000000000000
χ5244-4-4404-40-44-4−4i4i−4i4i0000004-4000−4i4i0000000000000000000000000000000000000000
χ5344-4-440-440-44-44i−4i4i−4i000000-44000−4i4i0000000000000000000000000000000000000000
χ5444-4-440-440-44-4−4i4i−4i4i000000-440004i−4i0000000000000000000000000000000000000000
χ554-44-44400-44-4-44i4i−4i−4i00000-4004−4i4i000000000000000000000000000000000000000000
χ564-44-44400-44-4-4−4i−4i4i4i00000-40044i−4i000000000000000000000000000000000000000000
χ574-44-4-2-4004-22200000004-4-20020000000022−2222−220-2200000000000−22−2200000000000000
χ584-44-4-2-4004-22200000004-4-200200000000−2222−22220-22000000000002−22−200000000000000
χ594-44-4-2-4004-2220000000-44-20020000000022−22−222202-200000000000−222−200000000000000
χ604-44-4-2-4004-2220000000-44-200200000000−222222−2202-2000000000002−2−2200000000000000
χ614-4-4440000-4-444-4-44022−2200000000000000000000022−2200022−220000000000000000000000
χ624-4-4440000-4-444-4-440−2222000000000000000000000−2222000−22220000000000000000000000
χ634-4-4440000-4-44-444-4022−2200000000000000000000022−22000−22220000000000000000000000
χ644-4-4440000-4-44-444-40−2222000000000000000000000−222200022−220000000000000000000000
χ6588-8-8-408-804-440000000000-44000000000000000000000000000000000000000000000
χ6688-8-8-40-8804-4400000000004-4000000000000000000000000000000000000000000000
χ678-88-8-4800-8-444000000000400-400000000000000000000000000000000000000000000
χ688-8-88-4000044-40000042−42000000000000000000000−2222000000000000000000000000000
χ698-8-88-4000044-400000−424200000000000000000000022−22000000000000000000000000000

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