Finite Group Databasebeta

← Group #11878616

Character table — Group #11878616

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444488888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order122233446666663666121212124481212121212122424242424242424224466668888121212121212444412121212121224242424241212228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-111-1-111-1-11111111-11-111-1-11-111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111111111-11-11-1-111-1-111111111-11-11-1-111-11-1-111-1-1-11-1-1-1
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
χ511111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-11-1-1111-1-111-1-1-1-111-111-1-1
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-11-111-1-1-1-1111-111-1-111-1-111111-1-1-111-1-1-1-1-111
χ711111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-11111-1-11-111-1-1-1-111-1-1-1-1-1111-1-1-1-111-111
χ811111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-1-1-111-1-11111111-11-1-1
χ91111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-111-1-1-11111-1-1-1-1111-1-11-1
χ101111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-11-1-111-1-111-1-1-1-11-1-1-111-1-1111-11
χ111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-11-1-11111-1-11111-1111-1-1-1-1-1-11-11
χ121111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111-1-1111-1-1-1-1111111-11-11-1
χ131111111111111111111111-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11
χ141111111111111111111111-1-11-1-1-1-111111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-1-1-1111-1
χ151111111111111111111111-1-11-1-1-1-11111111111-11-11-1-111-1-111-1-1-1-1-1-11-11-111-1-1-11-1-111-1-11-111-1
χ161111111111111111111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11
χ17222222-2-22222222222-2-2-2-20000000-2-20000000022-2-22222000000000000000000-2-20000-2200000
χ18222222-2-22222222222-2-2-2-20000000-2-2000000002-2-2222-2-2000000000000000000-2200002-200000
χ19222222-2-22222222222-2-2-2-20000000-2-200000000-222-2-2-2220000000000000000002-200002-200000
χ20222222-2-22222222222-2-2-2-20000000-2-200000000-2-222-2-2-2-2000000000000000000220000-2200000
χ2122222-1222-12-12-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-1020200-1-10022-12-1-1-1-1020200-1-10-100-1-1000-1000
χ2222222-1222-12-12-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-10-20-2001100-2-2-12-1-1-1-10-20-200110100110001000
χ2322222-1222-12-12-1-1-1-1-12-12-12-2-22211-1-1-2-2111111020200-1-100-2-2-1-2-1-1110-20200110-10011000-1000
χ2422222-1222-12-12-1-1-1-1-12-12-12-2-22211-1-1-2-21111110-20-200110022-1-2-1-111020-200-1-10100-1-10001000
χ2522222-1222-12-12-1-1-1-1-12-12-1-22-2-2-2-1-1-1-1-2-2111111020200-1-100-2-21211-1-1020-200-1-10-100110001000
χ2622222-1222-12-12-1-1-1-1-12-12-1-22-2-2-2-1-1-1-1-2-21111110-20-2001100221211-1-10-20200110100-1-1000-1000
χ2722222-1222-12-12-1-1-1-1-12-12-1-2-22-2-211-1-122-1-1-1-1-1-1020200-1-100221-211110-20-200110-100-1-10001000
χ2822222-1222-12-12-1-1-1-1-12-12-1-2-22-2-211-1-122-1-1-1-1-1-10-20-2001100-2-21-21111020200-1-1010011000-1000
χ292222-1222-12-12-12-1-1-1-1-12-12222-1-122-1-1-1-122-1-1-1-12020-1-10022002-1-1-1-1-12020-1-100-10-1-10000-10000
χ302222-1222-12-12-12-1-1-1-1-12-12222-1-122-1-1-1-122-1-1-1-1-20-201100-2-2002-1-1-1-1-1-20-2011001011000010000
χ312222-1222-12-12-12-1-1-1-1-12-122-2-2-1-1-2-2-1-111-2-211112020-1-100-2-20021-1-11120-20-1-100-1011000010000
χ322222-1222-12-12-12-1-1-1-1-12-122-2-2-1-1-2-2-1-111-2-21111-20-201100220021-1-111-2020110010-1-10000-10000
χ332222-1222-12-12-12-1-1-1-1-12-12-22-21122-1-111-2-211112020-1-100-2-200-2-111-1-1-20201100-10110000-10000
χ342222-1222-12-12-12-1-1-1-1-12-12-22-21122-1-111-2-21111-20-2011002200-2-111-1-120-20-1-10010-1-1000010000
χ352222-1222-12-12-12-1-1-1-1-12-12-2-2211-2-2-1-1-1-122-1-1-1-12020-1-1002200-211111-20-201100-10-1-1000010000
χ362222-1222-12-12-12-1-1-1-1-12-12-2-2211-2-2-1-1-1-122-1-1-1-1-20-201100-2-200-2111112020-1-10010110000-10000
χ3744444-2-4-44-24-24-2-2-2-2-2-42-4200000002200000000040-400-2-20000000000000000000200000000000
χ3844444-2-4-44-24-24-2-2-2-2-2-42-42000000022000000000-40400220000000000000000000-200000000000
χ394444-24-4-4-24-24-24-2-2-2-22-42-40000000220000000040-40-2-2000000000000000000002000000000000
χ404444-24-4-4-24-24-24-2-2-2-22-42-400000002200000000-40402200000000000000000000-2000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-2-2-211-2-2-2-21111000000000000-2-21111000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-222112222-1-1-1-1000000000000-2211-1-1000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422-2-2112222-1-1-1-10000000000002-2-1-111000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-44222211-2-2-2-2111100000000000022-1-1-1-1000000000000000000000
χ4544-4-444004-4-44-4-44-44-40000000000000000000000000000000−2i22i2000000000000000000−2i22i20000000
χ4644-4-444004-4-44-4-44-44-400000000000000000000000000000002i2−2i20000000000000000002i2−2i20000000
χ4744-4-44-20042-4-2-42-22-220000000000000006−666−6−6000000−2i32i300−2i22i2000000000000000000i2−i20000000
χ4844-4-44-20042-4-2-42-22-220000000000000006−666−6−60000002i3−2i3002i2−2i2000000000000000000−i2i20000000
χ4944-4-44-20042-4-2-42-22-22000000000000000−66−6−666000000−2i32i3002i2−2i2000000000000000000−i2i20000000
χ5044-4-44-20042-4-2-42-22-22000000000000000−66−6−6660000002i3−2i300−2i22i2000000000000000000i2−i20000000
χ514-44-44400-444-4-4-44-4-4400000000000000000000000000000−2i22i2000000000000000000−2i22i2000000000
χ524-44-44400-444-4-4-44-4-44000000000000000000000000000002i2−2i20000000000000000002i2−2i2000000000
χ534-44-4-240024-2-42-4-222-200000000000006−6006−66−60000−2i32i300−2i22i2000000000000000000i2−i2000000000
χ544-44-4-240024-2-42-4-222-200000000000006−6006−66−600002i3−2i3002i2−2i2000000000000000000−i2i2000000000
χ554-44-4-240024-2-42-4-222-20000000000000−6600−66−660000−2i32i3002i2−2i2000000000000000000−i2i2000000000
χ564-44-4-240024-2-42-4-222-20000000000000−6600−66−6600002i3−2i300−2i22i2000000000000000000i2−i2000000000
χ574-4-44444-4-4-4-4-44444-4-4-4-44400000004-400000000000000000000000000000000000000000000000
χ584-4-4444-44-4-4-4-44444-4-444-4-40000000-4400000000000000000000000000000000000000000000000
χ594-4-444-24-4-42-424-2-2-222-424-20000000-220000000000000000000000000000000023−230000000000000
χ604-4-444-24-4-42-424-2-2-222-424-20000000-2200000000000000000000000000000000−23230000000000000
χ614-4-444-2-44-42-424-2-2-2224-2-420000023−232-200000000000000000000000023−23000000000000000000000
χ624-4-444-2-44-42-424-2-2-2224-2-4200000−23232-2000000000000000000000000−2323000000000000000000000
χ634-4-44-244-42-42-4-24-2-2222-4-240000000-2200000000000000000000000000000023−23000000000000000
χ644-4-44-244-42-42-4-24-2-2222-4-240000000-22000000000000000000000000000000−2323000000000000000
χ654-4-44-24-442-42-4-24-2-222-242-400023−23002-2000000000000000000000023−2300000000000000000000000
χ664-4-44-24-442-42-4-24-2-222-242-4000−2323002-20000000000000000000000−232300000000000000000000000
χ674-4-44-2-2-442222-2-211-1-1-2-22200023−2323−23-1100003-3-3300000000000000−33−33000000000000000000000
χ684-4-44-2-2-442222-2-211-1-1-2-22200023−23−2323-110000-333-300000000000000−333−3000000000000000000000
χ694-4-44-2-2-442222-2-211-1-1-2-222000−232323−23-110000-333-3000000000000003−3−33000000000000000000000
χ704-4-44-2-2-442222-2-211-1-1-2-222000−2323−2323-1100003-3-33000000000000003−33−3000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7288-8-8-4800-4-8484-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-444-4442-22-200000000000000026−26−6−666000000000000000000000000000000000000000
χ7488-8-8-4-400-444-4442-22-2000000000000000−262666−6−6000000000000000000000000000000000000000
χ758-88-88-400-8-484-84-444-4000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004-4-44442-2-22000000000000026−2600−66−66000000000000000000000000000000000000000
χ778-88-8-4-4004-4-44442-2-220000000000000−2626006−66−6000000000000000000000000000000000000000
χ788-8-88-4-48-84444-4-422-2-244-4-400000002-200000000000000000000000000000000000000000000000

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