Finite Group Databasebeta

← Group #10778708

Character table — Group #10778708

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222244444444444444466668888888888888888881212121216161616161624242424242424242432324848
order1222344446664888888121212122424242422442466888881212122424242424244488242424242424888888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1111111-1-1-1111-1-1-1-1-11111-1-1-11-11
χ611111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1111111-1-11-1-1-111-1-1-111-1-1111-11-1
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-111-1111-1-1111-1-1-1-111-111-1
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1111-1-1-111111-1-111-1-11-1-11
χ91111111111111-1-1-1-111111111111111-1-1-1-111111-1-1111-1-1-1-11111-1-11111-1-11-1-11111-1-1-1-1
χ101111111111111-1-1-1-111111111111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-11111
χ111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111
χ121111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-111111111-1-1
χ131111111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1111-1-1-1-1-1-111-1-11-111-1-111-1-1-111-1-11-11-1
χ141111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-111-11-11
χ151111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1111-111-1-1-1-1111-1-1111-1-11
χ161111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-111-11-1-111-1-111111-1-1-111-1
χ17222222-2-22222-2000000-222-2000022-2-22-22200000-2-2-2000000-2200000000-2200000000000
χ18222222-2-22222-2000000-222-2000022-2-2-22-2-20000022-2000000-22000000002-200000000000
χ19222222-2-22222-2000000-222-20000-2-2222-22200000-2-2-20000002-2000000002-200000000000
χ20222222-2-22222-2000000-222-20000-2-222-22-2-20000022-20000002-200000000-2200000000000
χ2122222-222-2222-20000222-2-2222222222000000-20000-2-2-20000-2-22200000000-20000000000
χ2222222-222-2222-20000222-2-222222-2-2-2-2000000-20000-2-2-2000022-2-20000000020000000000
χ2322222-222-2222-20000-2-22-2-22-2-2-2-2222200000020000-2220000-2-2-2-20000000020000000000
χ2422222-222-2222-20000-2-22-2-22-2-2-2-2-2-2-2-200000020000-2220000222200000000-20000000000
χ2522222-2-2-2-222222i2i−2i−2i00-2-2-2-2000022-2-2000000000002002i2i−2i−2i2-2000000000002i−2i00000000
χ2622222-2-2-2-222222i2i−2i−2i00-2-2-2-20000-2-222000000000002002i2i−2i−2i-2200000000000−2i2i00000000
χ2722222-2-2-2-22222−2i−2i2i2i00-2-2-2-2000022-2-200000000000200−2i−2i2i2i2-200000000000−2i2i00000000
χ2822222-2-2-2-22222−2i−2i2i2i00-2-2-2-20000-2-22200000000000200−2i−2i2i2i-22000000000002i−2i00000000
χ292222-12222-1-1-12222222-1-1-1-1-1-1-1-1000022-1-122222-1-1-1-1-1-1-1-1-1000022-1-1-1-1000000000-1-100
χ302222-12222-1-1-12222222-1-1-1-1-1-1-1-1000022-1-1-2-22-2-2-1-1-1-1-1-1-1-1-10000-2-211110000000001100
χ312222-12222-1-1-122222-2-2-1-1-1-111110000-2-21122-2-2-211-111-1-1-1-10000-22-1-1110000000001-100
χ322222-12222-1-1-122222-2-2-1-1-1-111110000-2-211-2-2-22211-111-1-1-1-100002-211-1-1000000000-1100
χ332222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-10000-2-2112222211-1-1-111110000-2-2-1-1-1-10000000001100
χ342222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-10000-2-211-2-22-2-211-1-1-111110000221111000000000-1-100
χ352222-12222-1-1-12-2-2-2-2-2-2-1-1-1-11111000022-1-122-2-2-2-1-1-111111100002-2-1-111000000000-1100
χ362222-12222-1-1-12-2-2-2-2-2-2-1-1-1-11111000022-1-1-2-2-222-1-1-11111110000-2211-1-10000000001-100
χ372-22-2202-20-22-2000002i−2i200-22i2i−2i−2i2-22-200002−20−i2i2000000000002i−2i002−2−i2i2000002−2−i2i20000
χ382-22-2202-20-22-2000002i−2i200-22i2i−2i−2i2-22-20000−220i2−i2000000000002i−2i00−22i2−i200000−22i2−i20000
χ392-22-2202-20-22-2000002i−2i200-22i2i−2i−2i-22-2200002−20−i2i200000000000−2i2i002−2−i2i200000−22i2−i20000
χ402-22-2202-20-22-2000002i−2i200-22i2i−2i−2i-22-220000−220i2−i200000000000−2i2i00−22i2−i2000002−2−i2i20000
χ412-22-2202-20-22-200000−2i2i200-2−2i−2i2i2i2-22-200002−20i2−i200000000000−2i2i002−2i2−i2000002−2i2−i20000
χ422-22-2202-20-22-200000−2i2i200-2−2i−2i2i2i2-22-20000−220−i2i200000000000−2i2i00−22−i2i200000−22−i2i20000
χ432-22-2202-20-22-200000−2i2i200-2−2i−2i2i2i-22-2200002−20i2−i2000000000002i−2i002−2i2−i200000−22−i2i20000
χ442-22-2202-20-22-200000−2i2i200-2−2i−2i2i2i-22-220000−220−i2i2000000000002i−2i00−22−i2i2000002−2i2−i20000
χ454444-24-4-44-2-2-2-40000002-2-22000000004-4-2-20000022200000000000000000000000000000
χ464444-24-4-44-2-2-2-40000002-2-2200000000-442200000-2-2200000000000000000000000000000
χ474444-2-444-4-2-2-2-4000044-222-2-2-2-2-20000000000-40000222000000000000000000000000000
χ484444-2-444-4-2-2-2-40000-4-4-222-222220000000000400002-2-2000000000000000000000000000
χ494444-2-4-4-4-4-2-2-244i4i−4i−4i0022220000000000000000000-200−2i−2i2i2i00000000000000000000000
χ504444-2-4-4-4-4-2-2-24−4i−4i4i4i0022220000000000000000000-2002i2i−2i−2i00000000000000000000000
χ514-44-440-440-44-40000000-400400004-4-4400000000000000000000000000000000000000000
χ524-44-440-440-44-40000000-40040000-444-400000000000000000000000000000000000000000
χ534-44-4-204-402-22000004i−4i-2002−2i−2i2i2i0000000022−220−2i22i2000000000000000−22i2−i20000000000000
χ544-44-4-204-402-22000004i−4i-2002−2i−2i2i2i00000000−222202i2−2i20000000000000002−2−i2i20000000000000
χ554-44-4-204-402-2200000−4i4i-20022i2i−2i−2i0000000022−2202i2−2i2000000000000000−22−i2i20000000000000
χ564-44-4-204-402-2200000−4i4i-20022i2i−2i−2i00000000−22220−2i22i20000000000000002−2i2−i20000000000000
χ574-4-444400-44-4-40−2i22i2−2i22i20004-400000000000000000000000−2i22i2−2i22i200000000000000000000000
χ584-4-444400-44-4-402i2−2i22i2−2i20004-4000000000000000000000002i2−2i22i2−2i200000000000000000000000
χ594-4-444-40044-4-4022−22−2222000-440000000000000000000000022−22−222200000000000000000000000
χ604-4-444-40044-4-40−222222−22000-4400000000000000000000000−222222−2200000000000000000000000
χ614-4-44-2400-4-2220−2i22i2−2i22i2000-2206−66−6000000−2i32i3000000006−6i2−i2i2−i200000000000000000000000
χ624-4-44-2400-4-2220−2i22i2−2i22i2000-220−66−660000002i3−2i300000000−66i2−i2i2−i200000000000000000000000
χ634-4-44-2400-4-22202i2−2i22i2−2i2000-2206−66−60000002i3−2i3000000006−6−i2i2−i2i200000000000000000000000
χ644-4-44-2400-4-22202i2−2i22i2−2i2000-220−66−66000000−2i32i300000000−66−i2i2−i2i200000000000000000000000
χ654-4-44-2-4004-222022−22−22220002-206−66−6000000000000023−230−66−222−200000000000000000000000
χ664-4-44-2-4004-222022−22−22220002-20−66−660000000000000−232306−6−222−200000000000000000000000
χ674-4-44-2-4004-2220−222222−220002-206−66−60000000000000−23230−662−2−2200000000000000000000000
χ684-4-44-2-4004-2220−222222−220002-20−66−66000000000000023−2306−62−2−2200000000000000000000000
χ6988-8-880000-8-88000000000000000000000000000000000000000000000000000000000000
χ7088-8-8-4000044-4000000000002i6−2i6−2i62i6000000000000000000000000000000000000000000000
χ7188-8-8-4000044-400000000000−2i62i62i6−2i6000000000000000000000000000000000000000000000
χ728-88-8-40-8804-440000000400-40000000000000000000000000000000000000000000000000

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