Finite Group Databasebeta

← Group #11878351

Character table — Group #11878351

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444488888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order122233446666663666121212124481212121212122424242424242424224488881212121212121212121224446666121224242424241212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-111-1-111-1-1111111-111-11-1-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111111111-11-11-1-111-1-1111111111-1-11-1111-1-1-1-111-1-1-11-1-1-1
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
χ511111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-11-1111-1-111-1-1-1-111-11-11-1
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-11-111-1-111-1-11-11111-1-111-1-1-1-11-11
χ711111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111-111-1-1-1-111-11-1-1-1-111-1-1-1-1111-11
χ811111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-11-1-1-111-1-11111111-1-11-1
χ91111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1111-11-11111-1-1-1-1-1-1111-11-1-1
χ101111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-11-1-111-1-1111-1-1-1-1-1-1-111-1-111-111
χ111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-11-1-11111-1-1-11111111-1-1-1-1-1-1-111
χ121111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-11-11-1-1-1-111111111-111-1-1
χ131111111111111111111111-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11
χ141111111111111111111111-1-11-1-1-1-111111111111-11-111-1-111-1-1-1-1-1-1-1-11-1-111-111-1-111-1-1-1-1-1111-1
χ151111111111111111111111-1-11-1-1-1-11111111111-11-11-1-111-1-111-1-1-1-1-1-1-111-1-11-1-111-1-111-1-11-111-1
χ161111111111111111111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11
χ17222222-2-22222222222-2-2-2-20000000-2-20000000022-2-20000-2-2-2-200000000002200000000-2200000
χ18222222-2-22222222222-2-2-2-20000000-2-2000000002-2-220000-2-22200000000002-2000000002-200000
χ19222222-2-22222222222-2-2-2-20000000-2-200000000-222-2000022-2-20000000000-22000000002-200000
χ20222222-2-22222222222-2-2-2-20000000-2-200000000-2-222000022220000000000-2-200000000-2200000
χ2122222-122-12-122-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-10202002200-1-1-12-1-1-1-120020-1-1-10000-1-1000-1000
χ2222222-122-12-122-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-10-20-200-2-20011-12-1-1-1-1-200-201110000110001000
χ2322222-122-12-122-1-1-1-1-12-12-12-2-22211-1-1-2-2111111020200-2-200-1-1-1-2-1-111-20020-111000011000-1000
χ2422222-122-12-122-1-1-1-1-12-12-12-2-22211-1-1-2-21111110-20-200220011-1-2-1-111200-201-1-10000-1-10001000
χ2522222-122-12-122-1-1-1-1-12-12-1-22-2-2-2-1-1-1-1-2-2111111020200-2-200-1-11211-1-1200-20-1-1-10000110001000
χ2622222-122-12-122-1-1-1-1-12-12-1-22-2-2-2-1-1-1-1-2-21111110-20-2002200111211-1-1-200201110000-1-1000-1000
χ2722222-122-12-122-1-1-1-1-12-12-1-2-22-2-211-1-122-1-1-1-1-1-10202002200-1-11-21111-200-20-1110000-1-10001000
χ2822222-122-12-122-1-1-1-1-12-12-1-2-22-2-211-1-122-1-1-1-1-1-10-20-200-2-200111-21111200201-1-1000011000-1000
χ292222-12222-12-1-12-1-1-1-1-12-12222-1-122-1-1-1-122-1-1-1-120202200-1-1002-1-1-1-1-10220-1000-1-1-1-10000-10000
χ302222-12222-12-1-12-1-1-1-1-12-12222-1-122-1-1-1-122-1-1-1-1-20-20-2-20011002-1-1-1-1-10-2-2010001111000010000
χ312222-12222-12-1-12-1-1-1-1-12-122-2-2-1-1-2-2-1-111-2-211112020-2-200-1-10021-1-11102-20-1000-1-111000010000
χ322222-12222-12-1-12-1-1-1-1-12-122-2-2-1-1-2-2-1-111-2-21111-20-202200110021-1-1110-220100011-1-10000-10000
χ332222-12222-12-1-12-1-1-1-1-12-12-22-21122-1-111-2-211112020-2-200-1-100-2-111-1-10-220-100011110000-10000
χ342222-12222-12-1-12-1-1-1-1-12-12-22-21122-1-111-2-21111-20-2022001100-2-111-1-102-201000-1-1-1-1000010000
χ352222-12222-12-1-12-1-1-1-1-12-12-2-2211-2-2-1-1-1-122-1-1-1-120202200-1-100-2111110-2-20-100011-1-1000010000
χ362222-12222-12-1-12-1-1-1-1-12-12-2-2211-2-2-1-1-1-122-1-1-1-1-20-20-2-2001100-21111102201000-1-1110000-10000
χ3744444-2-4-4-24-244-2-2-2-2-2-42-4200000002200000000040-40000002200000000000-2000000000000000
χ3844444-2-4-4-24-244-2-2-2-2-2-42-42000000022000000000-404000000-2-2000000000002000000000000000
χ394444-24-4-44-24-2-24-2-2-2-22-42-40000000220000000040-40000022000000000000-20000000000000000
χ404444-24-4-44-24-2-24-2-2-2-22-42-400000002200000000-40400000-2-200000000000020000000000000000
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
χ4544-4-44400-444-4-4-44-44-400000000000000000000000000022−22000000000000000000000022−220000000
χ4644-4-44400-444-4-4-44-44-4000000000000000000000000000−22220000000000000000000000−22220000000
χ4744-4-44-20024-2-4-42-22-220000000000000006−666−6−600000022−220023−23000000000000000000−220000000
χ4844-4-44-20024-2-4-42-22-220000000000000006−666−6−6000000−222200−23230000000000000000002−20000000
χ4944-4-44-20024-2-4-42-22-22000000000000000−66−6−66600000022−2200−2323000000000000000000−220000000
χ5044-4-44-20024-2-4-42-22-22000000000000000−66−6−666000000−22220023−230000000000000000002−20000000
χ514-44-444004-4-4-44-444-4-40000000000000000000000000−2i22i20000000000000000000000−2i22i2000000000
χ524-44-444004-4-4-44-444-4-400000000000000000000000002i2−2i200000000000000000000002i2−2i2000000000
χ534-44-4-240042-42-2-4-2-2220000000000000i6−i600i6−i6i6−i60000−2i22i20023−23000000000000000000i2−i2000000000
χ544-44-4-240042-42-2-4-2-2220000000000000i6−i600i6−i6i6−i600002i2−2i200−2323000000000000000000−i2i2000000000
χ554-44-4-240042-42-2-4-2-2220000000000000−i6i600−i6i6−i6i60000−2i22i200−2323000000000000000000i2−i2000000000
χ564-44-4-240042-42-2-4-2-2220000000000000−i6i600−i6i6−i6i600002i2−2i20023−23000000000000000000−i2i2000000000
χ574-4-44444-4-4-4-44-444-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ584-4-4444-44-4-4-44-444-4-4444-4-40000000-4400000000000000000000000000000000000000000000000
χ594-4-444-24-42-424-4-2-222-2-424-200000−2i32i3-22000000000000000000000000−2i32i3000000000000000000000
χ604-4-444-24-42-424-4-2-222-2-424-2000002i3−2i3-220000000000000000000000002i3−2i3000000000000000000000
χ614-4-444-2-442-424-4-2-222-24-2-4200000002-200000000000000000000000000000000−2i32i30000000000000
χ624-4-444-2-442-424-4-2-222-24-2-4200000002-2000000000000000000000000000000002i3−2i30000000000000
χ634-4-44-244-4-42-4-224-222-22-4-2400023−2300-22000000000000000000000023−2300000000000000000000000
χ644-4-44-244-4-42-4-224-222-22-4-24000−232300-220000000000000000000000−232300000000000000000000000
χ654-4-44-24-44-42-4-224-222-2-242-400000002-2000000000000000000000000000000000023−2300000000000
χ664-4-44-24-44-42-4-224-222-2-242-400000002-20000000000000000000000000000000000−232300000000000
χ674-4-44-2-24-4222-22-21-1-1122-2-200023−23−2i32i31-100003i−3i−3i3i00000000000000−33i3−i3000000000000000000000
χ684-4-44-2-24-4222-22-21-1-1122-2-200023−232i3−2i31-10000−3i3i3i−3i00000000000000−33−i3i3000000000000000000000
χ694-4-44-2-24-4222-22-21-1-1122-2-2000−2323−2i32i31-10000−3i3i3i−3i000000000000003−3i3−i3000000000000000000000
χ704-4-44-2-24-4222-22-21-1-1122-2-2000−23232i3−2i31-100003i−3i−3i3i000000000000003−3−i3i3000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7288-8-8-4800-8-4844-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-4-44442-22-200000000000000026−26−6−666000000000000000000000000000000000000000
χ7488-8-8-4-4004-4-44442-22-2000000000000000−262666−6−6000000000000000000000000000000000000000
χ758-88-88-400-4-84-884-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-4444-4422-2-200000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ778-88-8-4-400-4444-4422-2-20000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ788-8-88-4-4-88444-44-42-2-22-4-4440000000-2200000000000000000000000000000000000000000000000

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