Finite Group Databasebeta

← Group #10846236

Character table — Group #10846236

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222444444446688888888888881212121212121212121616161616161616161616161616242424242424244848
order12222234444666668812121212442444888882424242444488888826668121212242424242424244488848
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-111111111111111-11-1-1-11-1-111-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-111-11-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-11
χ51111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-1-1-1-111-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-111111-111-1-111-1-1-1-1-1-11-1-11-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-1-1-11-1-1-1-1-111111111-1-1-11-1
χ91111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-1-1-11
χ101111111111111111-1-111111111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-11111-11-1-1-1-1-1-1111-1-11-1111-1
χ111111111111111111-1-1111111-1-1111111-1-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-111-111-1-111-1-1
χ121111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1111-1-111111-1111-1-1-11111-1-1-1-1-1-1-1-1-111
χ131111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-111-1-1-1-1-1-11111-1
χ141111111111111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-111-111-11-1-1-11
χ151111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-111
χ161111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-1-1-11111-1-11111111-1-1
χ172222222-2-2-2-22222200-2-2-2-22200002i−2i00000002-2-2002i2i−2i−2i000000002i−2i0000000000000
χ182222222-2-2-2-22222200-2-2-2-2220000−2i2i00000002-2-200−2i−2i2i2i00000000−2i2i0000000000000
χ192222222-2-2-2-22222200-2-2-2-2-2-200002i−2i0000000-22200−2i−2i2i2i000000002i−2i0000000000000
χ202222222-2-2-2-22222200-2-2-2-2-2-20000−2i2i0000000-222002i2i−2i−2i00000000−2i2i0000000000000
χ21222222-12222-1-1-1-1-122-1-1-1-100222222222-1-1-1-10000000002-1-1-12-1-1-1-1-1-1-1-1-1000000000
χ22222222-12222-1-1-1-1-122-1-1-1-10022-2-222-2-22-1-1-1-1000000000-2-111-2-111-1-11111000000000
χ23222222-12222-1-1-1-1-122-1-1-1-100-2-222-2-2-2-22-1-1-1-100000000021-1-1-21-1-1111111000000000
χ24222222-12222-1-1-1-1-122-1-1-1-100-2-2-2-2-2-2222-1-1-1-1000000000-2111211111-1-1-1-1000000000
χ25222222-12222-1-1-1-1-1-2-2-1-1-1-1002222-2-2-2-2-21111000000000-2-1112-1-1-111-1-111000000000
χ26222222-12222-1-1-1-1-1-2-2-1-1-1-10022-2-2-2-222-211110000000002-1-1-1-2-1111111-1-1000000000
χ27222222-12222-1-1-1-1-1-2-2-1-1-1-100-2-2222222-21111000000000-2111-21-1-1-1-111-1-1000000000
χ28222222-12222-1-1-1-1-1-2-2-1-1-1-100-2-2-2-222-2-2-2111100000000021-1-12111-1-1-1-111000000000
χ292222-2-222-22-2222-2-20022-2-2222-200000000000-22-200000002000-200000000-200200000
χ302222-2-222-22-2222-2-20022-2-222-2200000000000-22-20000000-2000200000000200-200000
χ312222-2-222-22-2222-2-20022-2-2-2-22-2000000000002-2200000002000-200000000200-200000
χ322222-2-222-22-2222-2-20022-2-2-2-2-22000000000002-220000000-2000200000000-200200000
χ332222-2-22-22-22222-2-222-2-2222200000000-222-2-2-2-22220000000000000000000000-20000
χ342222-2-22-22-22222-2-222-2-222-2-200000000-222-2-222-2-2-2000000000000000000000020000
χ352222-2-22-22-22222-2-2-2-2-2-22222000000002-2-222-2-22-2-2000000000000000000000020000
χ362222-2-22-22-22222-2-2-2-2-2-222-2-2000000002-2-22222-2220000000000000000000000-20000
χ372-2-222-2222-2-2-2-222-2002-22-2000000002-200000000002i−2i2i−2i0000000000002-202i−2i000000
χ382-2-222-2222-2-2-2-222-2002-22-2000000002-20000000000−2i2i−2i2i0000000000002-20−2i2i000000
χ392-2-222-2222-2-2-2-222-2002-22-200000000-2200000000002i−2i2i−2i000000000000-220−2i2i000000
χ402-2-222-2222-2-2-2-222-2002-22-200000000-220000000000−2i2i−2i2i000000000000-2202i−2i000000
χ412-2-222-22-2-222-2-222-200-22-2200002-2000000000000002-2-220000002-2000000000002-200
χ422-2-222-22-2-222-2-222-200-22-2200002-200000000000000-222-20000002-200000000000-2200
χ432-2-222-22-2-222-2-222-200-22-220000-22000000000000002-2-22000000-2200000000000-2200
χ442-2-222-22-2-222-2-222-200-22-220000-2200000000000000-222-2000000-22000000000002-200
χ45444444-2-4-4-4-4-2-2-2-2-20022220000004i−4i000000000000000000000000−2i2i0000000000000
χ46444444-2-4-4-4-4-2-2-2-2-2002222000000−4i4i0000000000000000000000002i−2i0000000000000
χ474444-4-4-24-44-4-2-2-22200-2-222004-4000000000000000000000-2000200000000000000000
χ484444-4-4-24-44-4-2-2-22200-2-22200-440000000000000000000002000-200000000000000000
χ494444-4-4-2-44-44-2-2-2224422-2-20000000000-4-2-22200000000000000000000000000000000
χ504444-4-4-2-44-44-2-2-222-4-422-2-20000000000422-2-200000000000000000000000000000000
χ514-44-400400004-4-400−2i22i200004i−4i000000000−2i22i20000022−22000000000000000000000000000
χ524-44-400400004-4-400−2i22i20000−4i4i000000000−2i22i200000−2222000000000000000000000000000
χ534-44-400400004-4-4002i2−2i200004i−4i0000000002i2−2i200000−2222000000000000000000000000000
χ544-44-400400004-4-4002i2−2i20000−4i4i0000000002i2−2i20000022−22000000000000000000000000000
χ554-4-444-4-244-4-422-2-2200-22-22000000004-400000000000000000000000000-22000000000
χ564-4-444-4-244-4-422-2-2200-22-2200000000-44000000000000000000000000002-2000000000
χ574-4-444-4-2-4-44422-2-22002-22-200004-4000000000000000000000000-22000000000000000
χ584-4-444-4-2-4-44422-2-22002-22-20000-440000000000000000000000002-2000000000000000
χ594-4-44-4444-4-44-4-44-44004-4-4400000000000000000000000000000000000000000000000
χ604-4-44-444-444-4-4-44-4400-444-400000000000000000000000000000000000000000000000
χ614-4-44-44-24-4-4422-22-200-222-200000000000000000000000000−2i32i30000000000000000000
χ624-4-44-44-24-4-4422-22-200-222-2000000000000000000000000002i3−2i30000000000000000000
χ634-4-44-44-2-444-422-22-2002-2-220000000000000000000000000000000000−2i32i300000000000
χ644-4-44-44-2-444-422-22-2002-2-2200000000000000000000000000000000002i3−2i300000000000
χ6588-8-80080000-88-80000000000000000000000000000000000000000000000000000000
χ6688-8-800-400004-4400000000000000000000026−2600000000000000000000000000000000
χ6788-8-800-400004-44000000000000000000000−262600000000000000000000000000000000
χ688-88-800-40000-44400−4i24i20000000000000002i2−2i20000000000000000000000000000000000
χ698-88-800-40000-444004i2−4i2000000000000000−2i22i20000000000000000000000000000000000

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