Finite Group Databasebeta

← Group #11878366

Character table — Group #11878366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444488888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order12223344666666366612121212246681212121224242424242424242244668888121266612121244446121212121224242424241212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-11111-1-1-1-1111111-11-11-1111-1-111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111111111-11-11-1-1-1-111111111111-11-11-1-1-111-1-111-1-1-11-1-1-1
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
χ511111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-11111-1-111-1-1-1-1111-11-1-1
χ611111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-1111-1-1-11-1-11-11-1-1-1-1-1-111-1-111-111
χ711111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111111-1-1-1-111-11-1111111-1-1-1-1-1-1-111
χ811111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1-1-111-1-1111111-111-1-1
χ91111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111111-1-11111-1-1-1-1-1-111-11-11-1
χ101111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1111-111-1-111111-1-111-1-1-1-11-11
χ111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-1-1111-11
χ121111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-1111111111-1-11-1
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
χ141111111111111111111111-1-1-1-11-1-111111111111-11-11111-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-1-1111-1
χ151111111111111111111111-1-1-1-11-1-11111111111-11-11-1-1-1-11111-1-1-1-1-1-1-11-111-111-1-1-1-111-1-11-111-1
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
χ2122222-1222-12-12-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-12020-1-1220000-1-1-12-1-102020-1-1-100-1-10000-10000
χ2222222-1222-12-12-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-1-20-2011-2-20000-1-1-12-1-10-20-201110011000010000
χ2322222-1222-12-12-1-1-1-1-12-12-12-222-211-1-1-2-21111112020-1-1-2-20000-1-1-1-2110-2020-11100110000-10000
χ2422222-1222-12-12-1-1-1-1-12-12-12-222-211-1-1-2-2111111-20-2011220000-1-1-1-211020-201-1-100-1-1000010000
χ2522222-1222-12-12-1-1-1-1-12-12-1-22-2-2-2-1-1-1-1-2-21111112020-1-1-2-200001112-1-1020-20-1-1-10011000010000
χ2622222-1222-12-12-1-1-1-1-12-12-1-22-2-2-2-1-1-1-1-2-2111111-20-20112200001112-1-10-202011100-1-10000-10000
χ2722222-1222-12-12-1-1-1-1-12-12-1-2-2-2-2211-1-122-1-1-1-1-1-12020-1-1220000111-2110-20-20-11100-1-1000010000
χ2822222-1222-12-12-1-1-1-1-12-12-1-2-2-2-2211-1-122-1-1-1-1-1-1-20-2011-2-20000111-211020201-1-100110000-10000
χ292222-1222-12-12-12-1-1-1-1-12-1222-1-1222-1-1-1-122-1-1-1-10202000022-1-12-1-1-1-1-12020-1000-1-100-1-1000-1000
χ302222-1222-12-12-12-1-1-1-1-12-1222-1-1222-1-1-1-122-1-1-1-10-20-20000-2-2112-1-1-1-1-1-20-2010001100110001000
χ312222-1222-12-12-12-1-1-1-1-12-122-2-1-1-2-2-2-1-111-2-2111102020000-2-2-1-12-1-1111-2020-1000-1-100110001000
χ322222-1222-12-12-12-1-1-1-1-12-122-2-1-1-2-2-2-1-111-2-211110-20-2000022112-1-111120-2010001100-1-1000-1000
χ332222-1222-12-12-12-1-1-1-1-12-12-2211-222-1-111-2-2111102020000-2-2-1-1-211-1-1-120-20-1000110011000-1000
χ342222-1222-12-12-12-1-1-1-1-12-12-2211-222-1-111-2-211110-20-200002211-211-1-1-1-20201000-1-100-1-10001000
χ352222-1222-12-12-12-1-1-1-1-12-12-2-2112-2-2-1-1-1-122-1-1-1-10202000022-1-1-211111-20-20-10001100-1-10001000
χ362222-1222-12-12-12-1-1-1-1-12-12-2-2112-2-2-1-1-1-122-1-1-1-10-20-20000-2-211-21111120201000-1-10011000-1000
χ3744444-2-4-44-24-24-2-2-2-2-2-42-420000000220000000040-40-2-2000000000000000002000000000000000
χ3844444-2-4-44-24-24-2-2-2-2-2-42-4200000002200000000-40402200000000000000000-2000000000000000
χ394444-24-4-4-24-24-24-2-2-2-22-42-400000002200000000040-4000000220000000000-20000000000000000
χ404444-24-4-4-24-24-24-2-2-2-22-42-4000000022000000000-404000000-2-2000000000020000000000000000
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
χ4544-4-44400-444-4-4-444-4-40000000000000000000000000000022−220000000000000000000022−220000000
χ4644-4-44400-444-4-4-444-4-400000000000000000000000000000−222200000000000000000000−22220000000
χ4744-4-4-240024-2-42-4-2-22200000000000006−60066−6−60000000022−2223−23000000000000000000−220000000
χ4844-4-4-240024-2-42-4-2-22200000000000006−60066−6−600000000−2222−23230000000000000000002−20000000
χ4944-4-4-240024-2-42-4-2-2220000000000000−6600−6−6660000000022−22−2323000000000000000000−220000000
χ5044-4-4-240024-2-42-4-2-2220000000000000−6600−6−66600000000−222223−230000000000000000002−20000000
χ514-44-4444-4-4-4-4-4444-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ524-44-444-44-4-4-4-4444-4-4444-4-40000000-4400000000000000000000000000000000000000000000000
χ534-44-44-24-4-42-424-2-222-2-424-20000000-2200000000000000000000000000000000−2i32i30000000000000
χ544-44-44-24-4-42-424-2-222-2-424-20000000-22000000000000000000000000000000002i3−2i30000000000000
χ554-44-44-2-44-42-424-2-222-24-2-4200000−2i32i32-2000000000000000000000000−2i32i3000000000000000000000
χ564-44-44-2-44-42-424-2-222-24-2-42000002i3−2i32-20000000000000000000000002i3−2i3000000000000000000000
χ574-44-4-244-42-42-4-24-222-22-4-240000000-220000000000000000000000000000000000−2i32i300000000000
χ584-44-4-244-42-42-4-24-222-22-4-240000000-2200000000000000000000000000000000002i3−2i300000000000
χ594-44-4-24-442-42-4-24-222-2-242-400−2i32i30002-2000000000000000000000−2i32i3000000000000000000000000
χ604-44-4-24-442-42-4-24-222-2-242-4002i3−2i30002-20000000000000000000002i3−2i3000000000000000000000000
χ614-44-4-2-2-442222-2-21-1-11-2-22200−2i32i30−2i32i3-1100003-33-30000000000000i3−i30i3−i3000000000000000000000
χ624-44-4-2-2-442222-2-21-1-11-2-22200−2i32i302i3−2i3-110000-33-330000000000000i3−i30−i3i3000000000000000000000
χ634-44-4-2-2-442222-2-21-1-11-2-222002i3−2i30−2i32i3-110000-33-330000000000000−i3i30i3−i3000000000000000000000
χ644-44-4-2-2-442222-2-21-1-11-2-222002i3−2i302i3−2i3-1100003-33-30000000000000−i3i30−i3i3000000000000000000000
χ654-4-4444004-4-44-4-44-44-4000000000000000000000000000−2i22i200000000000000000000−2i22i2000000000
χ664-4-4444004-4-44-4-44-44-40000000000000000000000000002i2−2i2000000000000000000002i2−2i2000000000
χ674-4-444-20042-4-2-42-22-220000000000000006−66−6−660000−2i32i3−2i22i200000000000000000000i2−i2000000000
χ684-4-444-20042-4-2-42-22-220000000000000006−66−6−6600002i3−2i32i2−2i200000000000000000000−i2i2000000000
χ694-4-444-20042-4-2-42-22-22000000000000000−66−666−60000−2i32i32i2−2i200000000000000000000−i2i2000000000
χ704-4-444-20042-4-2-42-22-22000000000000000−66−666−600002i3−2i3−2i22i200000000000000000000i2−i2000000000
χ718888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7288-8-88-400-8-484-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-4-444422-2-2000000000000026−2600−6−666000000000000000000000000000000000000000
χ7488-8-8-4-4004-4-444422-2-20000000000000−26260066−6−6000000000000000000000000000000000000000
χ758-88-8-4-48-84444-4-42-2-2244-4-400000002-200000000000000000000000000000000000000000000000
χ768-8-88-4800-4-8484-8-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-444-4442-22-200000000000000026−26−666−6000000000000000000000000000000000000000
χ788-8-88-4-400-444-4442-22-2000000000000000−26266−6−66000000000000000000000000000000000000000

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