Finite Group Databasebeta

← Group #10777943

Character table — Group #10777943

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222333344444444466668888888888888121212121216161616161616161616242424242424242432324848
order1222344446664444488881212121244444488888812242424242888844121224242424242424888888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ511111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-1-1-11-111-1-111-1-111-1-111-1-1-11-11
χ611111111111111111-1-1-1-11111111111-1-111-1-11-1-1-1-11-1-1-1-1-1111-1-1-1-11111-1-1-1-1111-11-1
χ711111111111111111-1-1-1-111111111-1-111-1-1111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-11111-1-11-11-1
χ811111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-11-1-1-1-11-1-1-111-1-111-1-111-1-111-11-11
χ9111111111111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ10111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ11111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
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
χ13111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-111111-111-1-111-1-1-1-111-1-111-111-1
χ14111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-11-1-11
χ15111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-1-11111-11-1-11111-1-111-1-1-1-1111-1-11
χ16111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-111-1-11111-1-111-1-1-111-1
χ17222222-2-222222222-200002-2-22-2-2222-2000000-20000-20000002-20000002-20000000000
χ18222222-2-222222222-200002-2-22-2-222-22000000-20000-2000000-22000000-220000000000
χ19222222-2-22222-2-2-2-2-200002-2-2222-2-22-2000000-2000020000002-2000000-220000000000
χ20222222-2-22222-2-2-2-2-200002-2-2222-2-2-22000000-200002000000-220000002-20000000000
χ2122222-222-22222222-222-2-2-222-222-2-200000000-2-2-222-2-2-2220000000000000000000000
χ2222222-222-22222222-2-2-222-222-222-2-200000000-222-2-2-222-2-20000000000000000000000
χ2322222-222-2222-2-2-2-2-222-2-2-222-2-2-22200000000-2-2-222222-2-20000000000000000000000
χ2422222-222-2222-2-2-2-2-2-2-222-222-2-2-22200000000-222-2-22-2-2220000000000000000000000
χ2522222-2-2-2-2222222220000-2-2-2-2-2-2-2-20000002i−2i200002000000002i−2i0000002i−2i00000000
χ2622222-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000−2i2i20000200000000−2i2i000000−2i2i00000000
χ2722222-2-2-2-2222-2-2-2-220000-2-2-2-222220000002i−2i20000-2000000002i−2i000000−2i2i00000000
χ2822222-2-2-2-2222-2-2-2-220000-2-2-2-22222000000−2i2i20000-200000000−2i2i0000002i−2i00000000
χ292222-12222-1-1-1000022222-1-1-1-1000022222222-1-1-1-1-10000022-1-1-1-1-1-1-1-100000000-1-100
χ302222-12222-1-1-1000022222-1-1-1-1000022-2-2-2-222-1-1-1-1-100000-2-2-1-1-1-11111000000001100
χ312222-12222-1-1-1000022222-1-1-1-10000-2-22222-2-2-1-1-1-1-100000-2-21111-1-1-1-1000000001100
χ322222-12222-1-1-1000022222-1-1-1-10000-2-2-2-2-2-2-2-2-1-1-1-1-100000221111111100000000-1-100
χ332222-12222-1-1-100002-2-2-2-2-1-1-1-100002222-2-2-2-2-11111000002-2-1-111-1-111000000001-100
χ342222-12222-1-1-100002-2-2-2-2-1-1-1-1000022-2-222-2-2-1111100000-22-1-11111-1-100000000-1100
χ352222-12222-1-1-100002-2-2-2-2-1-1-1-10000-2-222-2-222-1111100000-2211-1-1-1-11100000000-1100
χ362222-12222-1-1-100002-2-2-2-2-1-1-1-10000-2-2-2-22222-11111000002-211-1-111-1-1000000001-100
χ372-2-22202-20-22-22i2i−2i−2i0002i−2i0-2202i−2i00002−2i2−i20002i−2i0002-2000000002−2i2−i20000i2−i22−20000
χ382-2-22202-20-22-22i2i−2i−2i0002i−2i0-2202i−2i0000−22−i2i20002i−2i0002-200000000−22−i2i20000−i2i2−220000
χ392-2-22202-20-22-22i2i−2i−2i000−2i2i0-2202i−2i00002−2−i2i2000−2i2i000-22000000002−2−i2i20000i2−i2−220000
χ402-2-22202-20-22-22i2i−2i−2i000−2i2i0-2202i−2i0000−22i2−i2000−2i2i000-2200000000−22i2−i20000−i2i22−20000
χ412-2-22202-20-22-2−2i−2i2i2i0002i−2i0-220−2i2i00002−2i2−i20002i−2i000-22000000002−2i2−i20000−i2i2−220000
χ422-2-22202-20-22-2−2i−2i2i2i0002i−2i0-220−2i2i0000−22−i2i20002i−2i000-2200000000−22−i2i20000i2−i22−20000
χ432-2-22202-20-22-2−2i−2i2i2i000−2i2i0-220−2i2i00002−2−i2i2000−2i2i0002-2000000002−2−i2i20000−i2i22−20000
χ442-2-22202-20-22-2−2i−2i2i2i000−2i2i0-220−2i2i0000−22i2−i2000−2i2i0002-200000000−22i2−i20000i2−i2−220000
χ454444-24-4-44-2-2-20000-40000-222-200004-4000000200000000000-22000000000000000000
χ464444-24-4-44-2-2-20000-40000-222-20000-440000002000000000002-2000000000000000000
χ474444-2-444-4-2-2-20000-444-4-42-2-22000000000000222-2-2000000000000000000000000000
χ484444-2-444-4-2-2-20000-4-4-4442-2-220000000000002-2-222000000000000000000000000000
χ494444-2-4-4-4-4-2-2-2000040000222200000000004i−4i-20000000000000−2i2i0000000000000000
χ504444-2-4-4-4-4-2-2-200004000022220000000000−4i4i-200000000000002i−2i0000000000000000
χ5144-4-4400004-4-44-44-4022−2200000000000000000000022−2200022−220000000000000000000000
χ5244-4-4400004-4-44-44-40−2222000000000000000000000−2222000−22220000000000000000000000
χ5344-4-4400004-4-4-44-44022−2200000000000000000000022−22000−22220000000000000000000000
χ5444-4-4400004-4-4-44-440−2222000000000000000000000−222200022−220000000000000000000000
χ554-44-44400-4-4-444i−4i−4i4i00000-4004004i−4i0000000000000000000000000000000000000000
χ564-44-44400-4-4-44−4i4i4i−4i00000-400400−4i4i0000000000000000000000000000000000000000
χ574-44-44-4004-4-444i−4i−4i4i00000400-400−4i4i0000000000000000000000000000000000000000
χ584-44-44-4004-4-44−4i4i4i−4i00000400-4004i−4i0000000000000000000000000000000000000000
χ594-4-4440-440-44-44i4i−4i−4i0000004-40−4i4i000000000000000000000000000000000000000000
χ604-4-4440-440-44-4−4i−4i4i4i0000004-404i−4i000000000000000000000000000000000000000000
χ614-4-44-204-402-2200000004i−4i02-2000000022−222i2−2i2000−2i2i0000000000000−22−i2i2000000000000
χ624-4-44-204-402-2200000004i−4i02-20000000−2222−2i22i2000−2i2i00000000000002−2i2−i2000000000000
χ634-4-44-204-402-220000000−4i4i02-2000000022−22−2i22i20002i−2i0000000000000−22i2−i2000000000000
χ644-4-44-204-402-220000000−4i4i02-20000000−22222i2−2i20002i−2i00000000000002−2−i2i2000000000000
χ6588-8-8-40000-4440000042−42000000000000000000000−2222000000000000000000000000000
χ6688-8-8-40000-44400000−424200000000000000000000022−22000000000000000000000000000
χ678-88-8-4800-844-4000000000400-400000000000000000000000000000000000000000000
χ688-88-8-4-800844-4000000000-400400000000000000000000000000000000000000000000
χ698-8-88-40-8804-440000000000-44000000000000000000000000000000000000000000000

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