Finite Group Databasebeta

← Group #11878585

Character table — Group #11878585

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444488888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order12223344666666366612121212246681212121224242424242424242244668888121266612121244446121212121224242424241212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-11111-1-1-1-111111111-1-1-1111-1-111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111111111-11-11-1-1-1-11111111111-1-1111-1-1-111-1-111-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-111-111-1-111-1-1-1-1111-1-11-1
χ611111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-1111-1-1-1-11-11-11-1-1-1-1-1-111-1-1111-11
χ711111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111111-1-1-11-11-11-1111111-1-1-1-1-1-11-11
χ811111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11-1-11-1-111-1-1111111-11-11-1
χ91111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11111-1-111111-1-1-1-1-1-111-111-1-1
χ101111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-11111-11-1-111111-1-111-1-1-1-1-111
χ111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1111-11-111-1-1-1-1-111-1-1-1-111-111
χ121111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-111-1-1-1-1-1111111111-11-1-1
χ131111111111111111111111-1-1-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11
χ141111111111111111111111-1-1-1-11-1-111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1111-1
χ151111111111111111111111-1-1-1-11-1-11111111111-11-11-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-111-1-11-111-1
χ161111111111111111111111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11
χ17222222-2-22222222222-2-2-2-20000000-2-20000000022-2-2220000-2-200000000002-200000000-2200000
χ18222222-2-22222222222-2-2-2-20000000-2-2000000002-2-22220000220000000000-2-2000000002-200000
χ19222222-2-22222222222-2-2-2-20000000-2-200000000-222-2-2-20000-2-2000000000022000000002-200000
χ20222222-2-22222222222-2-2-2-20000000-2-200000000-2-222-2-20000220000000000-2200000000-2200000
χ2122222-12222-1-1-12-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1-1-12020-1-1220000-1-1-12-1-122000-1-1-100-1-10000-10000
χ2222222-12222-1-1-12-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1-1-1-20-2011-2-20000-1-1-12-1-1-2-20001110011000010000
χ2322222-12222-1-1-12-1-1-1-1-12-122-222-211-1-1-2-21111112020-1-1-2-20000-1-1-1-211-22000-11100110000-10000
χ2422222-12222-1-1-12-1-1-1-1-12-122-222-211-1-1-2-2111111-20-2011220000-1-1-1-2112-20001-1-100-1-1000010000
χ2522222-12222-1-1-12-1-1-1-1-12-12-22-2-2-2-1-1-1-1-2-21111112020-1-1-2-200001112-1-12-2000-1-1-10011000010000
χ2622222-12222-1-1-12-1-1-1-1-12-12-22-2-2-2-1-1-1-1-2-2111111-20-20112200001112-1-1-2200011100-1-10000-10000
χ2722222-12222-1-1-12-1-1-1-1-12-12-2-2-2-2211-1-122-1-1-1-1-1-12020-1-1220000111-211-2-2000-11100-1-1000010000
χ2822222-12222-1-1-12-1-1-1-1-12-12-2-2-2-2211-1-122-1-1-1-1-1-1-20-2011-2-20000111-211220001-1-100110000-10000
χ292222-1222-1-1222-1-1-1-1-12-12-122-1-1222-1-1-1-122-1-1-1-10202000022-1-12-1-1-1-1-10022-1000-1-100-1-1000-1000
χ302222-1222-1-1222-1-1-1-1-12-12-122-1-1222-1-1-1-122-1-1-1-10-20-20000-2-2112-1-1-1-1-100-2-210001100110001000
χ312222-1222-1-1222-1-1-1-1-12-12-12-2-1-1-2-2-2-1-111-2-2111102020000-2-2-1-12-1-1111002-2-1000-1-100110001000
χ322222-1222-1-1222-1-1-1-1-12-12-12-2-1-1-2-2-2-1-111-2-211110-20-2000022112-1-111100-2210001100-1-1000-1000
χ332222-1222-1-1222-1-1-1-1-12-12-1-2211-222-1-111-2-2111102020000-2-2-1-1-211-1-1-100-22-1000110011000-1000
χ342222-1222-1-1222-1-1-1-1-12-12-1-2211-222-1-111-2-211110-20-200002211-211-1-1-1002-21000-1-100-1-10001000
χ352222-1222-1-1222-1-1-1-1-12-12-1-2-2112-2-2-1-1-1-122-1-1-1-10202000022-1-1-21111100-2-2-10001100-1-10001000
χ362222-1222-1-1222-1-1-1-1-12-12-1-2-2112-2-2-1-1-1-122-1-1-1-10-20-20000-2-211-21111100221000-1-10011000-1000
χ3744444-2-4-444-2-2-24-2-2-2-22-42-40000000220000000040-40-2-2000000000000000002000000000000000
χ3844444-2-4-444-2-2-24-2-2-2-22-42-400000002200000000-40402200000000000000000-2000000000000000
χ394444-24-4-4-2-2444-2-2-2-2-2-42-4200000002200000000040-4000000220000000000-20000000000000000
χ404444-24-4-4-2-2444-2-2-2-2-2-42-42000000022000000000-404000000-2-2000000000020000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-244-2-24-2-211-2-2-2-21111000000000000-211-211000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-2-2-422112222-1-1-1-1000000000000-2112-1-1000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-4422-4-2-2112222-1-1-1-10000000000002-1-1-211000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-42242211-2-2-2-211110000000000002-1-12-1-1000000000000000000000
χ4544-4-44400-44-4-44-44-4-4400000000000000000000000000000−2i22i200000000000000000000−2i22i20000000
χ4644-4-44400-44-4-44-44-4-44000000000000000000000000000002i2−2i2000000000000000000002i2−2i20000000
χ4744-4-4-24002-2-4-442-222-20000000000000i6−i600i6i6−i6−i600000000−2i22i223−23000000000000000000i2−i20000000
χ4844-4-4-24002-2-4-442-222-20000000000000i6−i600i6i6−i6−i6000000002i2−2i2−2323000000000000000000−i2i20000000
χ4944-4-4-24002-2-4-442-222-20000000000000−i6i600−i6−i6i6i600000000−2i22i2−2323000000000000000000i2−i20000000
χ5044-4-4-24002-2-4-442-222-20000000000000−i6i600−i6−i6i6i6000000002i2−2i223−23000000000000000000−i2i20000000
χ514-44-444004-4-44-4-444-4-4000000000000000000000000000−2i22i200000000000000000000−2i22i2000000000
χ524-44-444004-4-44-4-444-4-40000000000000000000000000002i2−2i2000000000000000000002i2−2i2000000000
χ534-44-44-2004-42-22-4-2-2220000000000000006−66−66−60000−2i32i3−2i22i200000000000000000000i2−i2000000000
χ544-44-44-2004-42-22-4-2-2220000000000000006−66−66−600002i3−2i32i2−2i200000000000000000000−i2i2000000000
χ554-44-44-2004-42-22-4-2-222000000000000000−66−66−660000−2i32i32i2−2i200000000000000000000−i2i2000000000
χ564-44-44-2004-42-22-4-2-222000000000000000−66−66−6600002i3−2i3−2i22i200000000000000000000i2−i2000000000
χ574-4-44444-4-4-44-4-444-44-4-4-44400000004-400000000000000000000000000000000000000000000000
χ584-4-4444-44-4-44-4-444-44-444-4-40000000-4400000000000000000000000000000000000000000000000
χ594-4-444-24-4-4-4-2224-22-222-4-240000023−23-2200000000000000000000000023−23000000000000000000000
χ604-4-444-24-4-4-4-2224-22-222-4-2400000−2323-22000000000000000000000000−2323000000000000000000000
χ614-4-444-2-44-4-4-2224-22-22-242-400000002-20000000000000000000000000000000023−230000000000000
χ624-4-444-2-44-4-4-2224-22-22-242-400000002-200000000000000000000000000000000−23230000000000000
χ634-4-44-244-4224-4-4-2-22-22-424-200−2i32i3000-22000000000000000000000−2i32i3000000000000000000000000
χ644-4-44-244-4224-4-4-2-22-22-424-2002i3−2i3000-220000000000000000000002i3−2i3000000000000000000000000
χ654-4-44-24-44224-4-4-2-22-224-2-4200000002-20000000000000000000000000000000000−2i32i300000000000
χ664-4-44-24-44224-4-4-2-22-224-2-4200000002-200000000000000000000000000000000002i3−2i300000000000
χ674-4-44-2-24-422-222-21-11-122-2-200−2i32i3023−231-100003i−3i−3i3i0000000000000i3−i30−33000000000000000000000
χ684-4-44-2-24-422-222-21-11-122-2-200−2i32i30−23231-10000−3i3i3i−3i0000000000000i3−i303−3000000000000000000000
χ694-4-44-2-24-422-222-21-11-122-2-2002i3−2i3023−231-10000−3i3i3i−3i0000000000000−i3i30−33000000000000000000000
χ704-4-44-2-24-422-222-21-11-122-2-2002i3−2i30−23231-100003i−3i−3i3i0000000000000−i3i303−3000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7288-8-88-400-8844-4-8-444-4000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-444-442-2-2200000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7488-8-8-4-4004-444-442-2-220000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ758-88-8-4800-44-88-84-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-444-44422-2-200000000000000026−26−66−66000000000000000000000000000000000000000
χ778-88-8-4-400-444-44422-2-2000000000000000−26266−66−6000000000000000000000000000000000000000
χ788-8-88-4-4-8844-444-42-22-2-4-4440000000-2200000000000000000000000000000000000000000000000

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