Finite Group Databasebeta

← Group #11889305

Character table — Group #11889305

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order12223344666666366612121212448121212122424242424242424244444888812121212121212121244244612121212242424242226121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-111-1111-1-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111-11-1-11-1-1-111-1-11111111-1-111-1-111-1-1-1-111-1-1-111-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-111-11-111111-1-1-1-11-1-1-11-11-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-11-1-11111-1-1111-1-1-1-11-1-11-1-111-1-111-1111-1-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-1-1111-1-1-1-1-111-111-1-111-1-1-111-111-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111-11-1-1-1-1-111111-1-11-111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-111111-11111-1-1-1-1-1-11111-11-1-1
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-111-1-1-1111-1-1-1-1-1-111-1-1-1-11111
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-1-111-1-11-1-1-1111111-1-1-1-1-11-1-111
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11111-11-1-1-1-1111111111-11-1-1-1
χ131111111111111111111111-1-11-1-1111111111111-1-111111111-1-1-1-1-1-1-111-1-1-1111-1-111111-1-1-1-1-1-11
χ141111111111111111111111-1-11-1-111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-11111-11-1
χ151111111111111111111111-1-11-1-11111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-111-1-111-1
χ161111111111111111111111-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11-1-1111-11
χ17222222-2-22222222222-2-2-2-200000-2-2000000002200-2-20000-2-20000000-2-20002-2200000020000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2002-20000-2-200000002200022-2000000-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-2200-22000022000000022000-2-22000000-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-200220000220000000-2-2000-22-200000020000000
χ2122222-1222-1-12-12-1-1-1-1-12-1222222-1-122-1-1-1-1-1-1020020002200-12-1-1-1-1-1002200-1-10000-1-1000-1-1000
χ2222222-1222-1-12-12-1-1-1-1-12-1222222-1-122-1-1-1-1-1-10-200-2000-2-200-12-1-1-1-1-100-2-2001100001100011000
χ2322222-1222-1-12-12-1-1-1-1-12-122-2-222-1-1-2-211111102002000-2-2001-2-1-1-11100-2200-1-10000110001-1000
χ2422222-1222-1-12-12-1-1-1-1-12-122-2-222-1-1-2-21111110-200-200022001-2-1-1-111002-200110000-1-1000-11000
χ2522222-1222-1-12-12-1-1-1-1-12-12-22-2-2-2-1-1-2-211111102002000-2-200-12111-1-1002-200-1-1000011000-11000
χ2622222-1222-1-12-12-1-1-1-1-12-12-22-2-2-2-1-1-2-21111110-200-20002200-12111-1-100-2200110000-1-10001-1000
χ2722222-1222-1-12-12-1-1-1-1-12-12-2-22-2-2-1-122-1-1-1-1-1-10200200022001-21111100-2-200-1-10000-1-100011000
χ2822222-1222-1-12-12-1-1-1-1-12-12-2-22-2-2-1-122-1-1-1-1-1-10-200-2000-2-2001-21111100220011000011000-1-1000
χ292222-1222-122-12-1-1-1-1-12-12-1222-1-1-1-1-1-122-1-1-1-12022022200-1-12-12-1-1-1-100002-100-1-1-1-10000000-100
χ302222-1222-122-12-1-1-1-1-12-12-1222-1-1-1-1-1-122-1-1-1-1-20-2-20-2-2-200112-12-1-1-1-10000-210011110000000100
χ312222-1222-122-12-1-1-1-1-12-12-12-2-2-1-1-1-111-2-21111202202-2-200-1-1-212-1-1110000-2-100-1-1110000000100
χ322222-1222-122-12-1-1-1-1-12-12-12-2-2-1-1-1-111-2-21111-20-2-20-2220011-212-1-1110000210011-1-10000000-100
χ332222-1222-122-12-1-1-1-1-12-12-1-22-211-1-111-2-2111120-2-202-2-200-1-12-1-211-1-100002-10011110000000-100
χ342222-1222-122-12-1-1-1-1-12-12-1-22-211-1-111-2-21111-20220-22200112-1-211-1-10000-2100-1-1-1-10000000100
χ352222-1222-122-12-1-1-1-1-12-12-1-2-2211-1-1-1-122-1-1-1-120-2-2022200-1-1-21-211110000-2-10011-1-10000000100
χ362222-1222-122-12-1-1-1-1-12-12-1-2-2211-1-1-1-122-1-1-1-1-20220-2-2-20011-21-2111100002100-1-1110000000-100
χ372-2-22222-2-22-22-2-22-2-2222-2-200000-2200000000002i−2i00002i−2i000000000000000002i−2i002i−2i02-200000
χ382-2-22222-2-22-22-2-22-2-2222-2-200000-2200000000002i−2i0000−2i2i000000000000000002i−2i00−2i2i0-2200000
χ392-2-22222-2-22-22-2-22-2-2222-2-200000-220000000000−2i2i00002i−2i00000000000000000−2i2i002i−2i0-2200000
χ402-2-22222-2-22-22-2-22-2-2222-2-200000-220000000000−2i2i0000−2i2i00000000000000000−2i2i00−2i2i02-200000
χ4144444-2-4-44-2-24-24-2-2-2-22-42-40000022000000000400-4000000000000000000002-200000000000000
χ4244444-2-4-44-2-24-24-2-2-2-22-42-40000022000000000-400400000000000000000000-2200000000000000
χ434444-24-4-4-244-24-2-2-2-2-2-42-4200000220000000040000-4000022000000000000-20000000000000000
χ444444-24-4-4-244-24-2-2-2-2-2-42-42000002200000000-4000040000-2-200000000000020000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-2-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-100000000000022-211-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-1000000000000-2-22-1-1110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-21111000000000000222-1-1-1-10000000000000000000000
χ4944-4-444004-4-4-44-44-44-4000000000000000000000000000000000000004i−4i00000000000000000000
χ5044-4-444004-4-4-44-44-44-400000000000000000000000000000000000000−4i4i00000000000000000000
χ514-44-44400-4-44-4-4444-4-40000000000000000000000000−2i22i2000000000000000000000−2i22i20000000000
χ524-44-44400-4-44-4-4444-4-400000000000000000000000002i2−2i20000000000000000000002i2−2i20000000000
χ534-44-4-24002-442-4-2-2-22200000000000i6−i600i6i6−i6−i6000000−2i22i20023−2300000000000000000i2−i20000000000
χ544-44-4-24002-442-4-2-2-22200000000000i6−i600i6i6−i6−i60000002i2−2i200−232300000000000000000−i2i20000000000
χ554-44-4-24002-442-4-2-2-22200000000000−i6i600−i6−i6i6i6000000−2i22i200−232300000000000000000i2−i20000000000
χ564-44-4-24002-442-4-2-2-22200000000000−i6i600−i6−i6i6i60000002i2−2i20023−2300000000000000000−i2i20000000000
χ574-4-4444-44-44-44-4-44-4-44-4-444000004-40000000000000000000000000000000000000000000000000
χ584-4-444-24-4-4-2242-4-222-2-242-4000002-200000000000000004i−4i000000000000000000000−2i2i00000000
χ594-4-444-24-4-4-2242-4-222-2-242-4000002-20000000000000000−4i4i0000000000000000000002i−2i00000000
χ604-4-444-2-44-4-2242-4-222-22-4-2400000-220023−2323−2323−2300000000000000000000000000000000000000000
χ614-4-444-2-44-4-2242-4-222-22-4-2400000-2200−2323−2323−232300000000000000000000000000000000000000000
χ624-4-44-244-424-4-2-42-222-24-2-42000002-200000000004i−4i00000000000000000000000−2i2i000000000000
χ634-4-44-244-424-4-2-42-222-24-2-42000002-20000000000−4i4i000000000000000000000002i−2i000000000000
χ644-4-44-24-4424-4-2-42-222-2-424-200023−23-220000000000000000000000023−23000000000000000000000000
χ654-4-44-24-4424-4-2-42-222-2-424-2000−2323-2200000000000000000000000−2323000000000000000000000000
χ664-4-44-2-2-442-22-2221-1-1122-2-200023−231-10023−23−33−33000000000000000−333-30000000000000000000000
χ674-4-44-2-2-442-22-2221-1-1122-2-200023−231-100−23233−33−3000000000000000−33-330000000000000000000000
χ684-4-44-2-2-442-22-2221-1-1122-2-2000−23231-10023−23−33−330000000000000003−3-330000000000000000000000
χ694-4-44-2-2-442-22-2221-1-1122-2-2000−23231-100−23233−33−30000000000000003−33-30000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-400844-8-4-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-4-8-8484-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4444-442-22-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ7488-8-8-4-400-4444-442-22-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ758-88-88-400-84-4-848-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-444-422-2-2000000000002i6−2i600−i6−i6i6i600000000000000000000000000000000000000000
χ778-88-8-4-40044-444-422-2-200000000000−2i62i600i6i6−i6−i600000000000000000000000000000000000000000
χ788-8-88-4-48-84-44-4442-2-22-4-44400000-220000000000000000000000000000000000000000000000000

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