Finite Group Databasebeta

← Group #10782800

Character table — Group #10782800

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222444444444444444668888888888888888121212121216161616161616242424242424243232484848
order12223444466648888881212121224242424222466888121212242424242424444884482424242444888881212448
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-11111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111-1-111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-11111111-1-1-11-111-1-1-1-111-1111-11-1-1
χ611111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-11111111-1-11-11-1-111-1-111-1-1-1-11-111
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-111-11-111-1-111-1-11-1-11-1-111
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1111-11-1-11111-1-1111-111-1-1
χ91111111111111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111111-1-111111-1-1-1-1111-1-1-1-11
χ101111111111111-1-1-1-1111111111111-1-1-1-11-1-11-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-11111-1
χ111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1
χ121111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-11111-1-11
χ131111111111111-1-1-1-1-1-11111-1-1-1-1111111-111111-1-1-1-1-1-1111-1-11-1-111-1-111-1-1-111-11-11-1
χ141111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-1-11-11-11
χ151111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1-111-11
χ161111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-11-1
χ17222222-2-22222-2000000-222-20000222-222000-2-2-2000000-2-220000000002-20000000000
χ18222222-2-22222-2000000-222-2000022-22-2-2000-222000000-2-22000000000-220000000000
χ19222222-2-22222-2000000-222-20000-2-22-222000-2-2-200000022-2000000000-220000000000
χ20222222-2-22222-2000000-222-20000-2-2-22-2-2000-22200000022-20000000002-20000000000
χ2122222-222-2222-20000222-2-222222220000-200-200-2-200002-2-22200000000000-20000000
χ2222222-222-2222-20000222-2-222222-2-20000-200-200-2-20000-222-2-20000000000020000000
χ2322222-222-2222-20000-2-22-2-22-2-2-2-2220000200-2002200002-2-2-2-20000000000020000000
χ2422222-222-2222-20000-2-22-2-22-2-2-2-2-2-20000200-200220000-2222200000000000-20000000
χ2522222-2-2-2-222222i2i−2i−2i00-2-2-2-20000220000000200002i2i−2i−2i-22-2000000000002i−2i00000000
χ2622222-2-2-2-222222i2i−2i−2i00-2-2-2-20000-2-20000000200002i2i−2i−2i2-2200000000000−2i2i00000000
χ2722222-2-2-2-22222−2i−2i2i2i00-2-2-2-2000022000000020000−2i−2i2i2i-22-200000000000−2i2i00000000
χ2822222-2-2-2-22222−2i−2i2i2i00-2-2-2-20000-2-2000000020000−2i−2i2i2i2-22000000000002i−2i00000000
χ292222-12222-1-1-12222222-1-1-1-1-1-1-1-10022-1-1222-1-1-1-1-1-1-1-1-100000222-1-1-1-10000000-1-1000
χ302222-12222-1-1-12222222-1-1-1-1-1-1-1-10022-1-12-2-2-1-1-1-1-1-1-1-1-100000-2-2-21111000000011000
χ312222-12222-1-1-122222-2-2-1-1-1-1111100-2-211-222-11111-1-1-1-100000-22-2-1-1110000000-11000
χ322222-12222-1-1-122222-2-2-1-1-1-1111100-2-211-2-2-2-11111-1-1-1-1000002-2211-1-100000001-1000
χ332222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-100-2-211222-111-1-1111100000-2-22-1-1-1-1000000011000
χ342222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-100-2-2112-2-2-111-1-111110000022-211110000000-1-1000
χ352222-12222-1-1-12-2-2-2-2-2-2-1-1-1-111110022-1-1-222-1-1-1111111000002-2-2-1-11100000001-1000
χ362222-12222-1-1-12-2-2-2-2-2-2-1-1-1-111110022-1-1-2-2-2-1-1-111111100000-22211-1-10000000-11000
χ374444-24-4-44-2-2-2-40000002-2-220000004-4-2-2000222000000000000000000000000000000
χ384444-24-4-44-2-2-2-40000002-2-22000000-44220002-2-2000000000000000000000000000000
χ394444-2-444-4-2-2-2-4000044-222-2-2-2-2-2000000-400200220000000000000000000000000000
χ404444-2-444-4-2-2-2-40000-4-4-222-22222000000400200-2-20000000000000000000000000000
χ414444-2-4-4-4-4-2-2-244i4i−4i−4i0022220000000000000-20000−2i−2i2i2i000000000000000000000000
χ424444-2-4-4-4-4-2-2-24−4i−4i4i4i0022220000000000000-200002i2i−2i−2i000000000000000000000000
χ4344-4-4400004-4-40000022−2200002222−22−224-4000000000000000000022−220000000000000000000
χ4444-4-4400004-4-40000022−2200002222−22−22-440000000000000000000−22220000000000000000000
χ4544-4-4400004-4-400000−22220000−22−2222224-40000000000000000000−22220000000000000000000
χ4644-4-4400004-4-400000−22220000−22−222222-44000000000000000000022−220000000000000000000
χ474-44-4404-40-4-440000000400-40000000000022−220000000000000000022−2200000000000000
χ484-44-4404-40-4-440000000400-400000000000−222200000000000000000−222200000000000000
χ494-44-440-440-4-440000000-4004000000000000000000000000000000000000000−2i22i200000
χ504-44-440-440-4-440000000-40040000000000000000000000000000000000000002i2−2i200000
χ514-44-4-204-4022-20000000-200223−2323−23000000022−2200000000000000000−226−6000000000000
χ524-44-4-204-4022-20000000-200223−2323−230000000−2222000000000000000002−2−66000000000000
χ534-44-4-204-4022-20000000-2002−2323−2323000000022−2200000000000000000−22−66000000000000
χ544-44-4-204-4022-20000000-2002−2323−23230000000−2222000000000000000002−26−6000000000000
χ554-4-444400-4-44-40−2i22i2−2i22i20004-40000000000000000000−2i22i2−2i22i2000000000000000000000000
χ564-4-444400-4-44-402i2−2i22i2−2i20004-400000000000000000002i2−2i22i2−2i2000000000000000000000000
χ574-4-444-4004-44-4022−22−2222000-44000000000000000000022−22−2222000000000000000000000000
χ584-4-444-4004-44-40−222222−22000-440000000000000000000−222222−22000000000000000000000000
χ594-4-44-2400-42-220−2i22i2−2i22i2000-2206−6−660000−2i32i30000006−6i2−i2i2−i2000000000000000000000000
χ604-4-44-2400-42-220−2i22i2−2i22i2000-220−666−600002i3−2i3000000−66i2−i2i2−i2000000000000000000000000
χ614-4-44-2400-42-2202i2−2i22i2−2i2000-2206−6−6600002i3−2i30000006−6−i2i2−i2i2000000000000000000000000
χ624-4-44-2400-42-2202i2−2i22i2−2i2000-220−666−60000−2i32i3000000−66−i2i2−i2i2000000000000000000000000
χ634-4-44-2-40042-22022−22−22220002-206−6−66000000000023−23−66−222−2000000000000000000000000
χ644-4-44-2-40042-22022−22−22220002-20−666−60000000000−23236−6−222−2000000000000000000000000
χ654-4-44-2-40042-220−222222−220002-206−6−660000000000−2323−662−2−22000000000000000000000000
χ664-4-44-2-40042-220−222222−220002-20−666−6000000000023−236−62−2−22000000000000000000000000
χ6788-8-8-40000-4440000042−420000−22−222222000000000000000000000000000000000000000000
χ6888-8-8-40000-44400000−424200002222−22−22000000000000000000000000000000000000000000
χ698-88-8-40-88044-40000000400-40000000000000000000000000000000000000000000000

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