Finite Group Databasebeta

← Group #11888689

Character table — Group #11888689

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order12223344666666366612121212448121212122424242424242424244444668888121212121212124444412121212122424242422212121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111111-1-11111111-1-11-1-1-1111-111-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-1-1-111-1-1-1-1-1111111111-1-1-1111-1-1-11-1-111-1-1-1-111-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-111-11-111111-1-1-1-11-1-1-11-11-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1111-1-111-1-1-1-1-1-11-1111-1-1-111-111-1-11-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11-1-111-1-1-1-111-11-1-1-1111-1-1-11111-1-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1111-11-1-1-1-1-111111-1-11-111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111-1-111111-1111-1-11-1-1-1-11111-11-1-1
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-111-1-111-1-111-1-11-1-1-1-1-111-1-1-111-111
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-111-1-1-1-111-111111-1-1-1-1-1-1-1111
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-111-1-11111-11-1-1-111-11111111-11-1-1-1
χ131111111111111111111111-1-11-1-111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-11
χ141111111111111111111111-1-11-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-111-1-1-111-1111-1
χ151111111111111111111111-1-11-1-11111111111-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11-1111-1-111-1111-1-11-1
χ161111111111111111111111-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11-1-1111-11
χ17222222-2-22222222222-2-2-2-200000-2-2000000002002-2-22200000000000220002-200-20000-20000000
χ18222222-2-22222222222-2-2-2-200000-2-200000000200-22-22200000000000-2-2000-2-2002000020000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-2002-22-2-200000000000-2-20002200-2000020000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-200-222-2-20000000000022000-220020000-20000000
χ2122222-1222-1-1-122-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-1222002-1-122002-12-1-1-1-1002000-1-1-10-1-100000-10000
χ2222222-1222-1-1-122-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-1-2-2-200-211-2-2002-12-1-1-1-100-20001110110000010000
χ2322222-1222-1-1-122-1-1-1-1-12-122-2-2-1-1-1-1-2-2111111222002-1-1-2-20021-2-1-11100-2000-1-1-10110000010000
χ2422222-1222-1-1-122-1-1-1-1-12-122-2-2-1-1-1-1-2-2111111-2-2-200-211220021-2-1-1110020001110-1-100000-10000
χ2522222-1222-1-1-122-1-1-1-1-12-12-22-211-1-1-2-21111112-2-2002-1-1-2-200-2-1211-1-1002000-11101100000-10000
χ2622222-1222-1-1-122-1-1-1-1-12-12-22-211-1-1-2-2111111-22200-2112200-2-1211-1-100-20001-1-10-1-10000010000
χ2722222-1222-1-1-122-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-12-2-2002-1-12200-21-2111100-2000-1110-1-10000010000
χ2822222-1222-1-1-122-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-1-22200-211-2-200-21-211110020001-1-101100000-10000
χ292222-1222-1222-1-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1000220000022-12-1-1-1-1-100022-1000-100-1-10000-1-100
χ302222-1222-1222-1-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1000-2-200000-2-2-12-1-1-1-1-1000-2-210001001100001100
χ312222-1222-1222-1-1-1-1-1-12-12-12-2-222-1-111-2-211110002200000-2-2-1-21-1-1110002-2-1000-100110000-1100
χ322222-1222-1222-1-1-1-1-1-12-12-12-2-222-1-111-2-21111000-2-20000022-1-21-1-111000-221000100-1-100001-100
χ332222-1222-1222-1-1-1-1-1-12-12-1-22-2-2-2-1-111-2-211110002200000-2-212-111-1-1000-22-1000-1001100001-100
χ342222-1222-1222-1-1-1-1-1-12-12-1-22-2-2-2-1-111-2-21111000-2-2000002212-111-1-10002-21000100-1-10000-1100
χ352222-1222-1222-1-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-10002200000221-211111000-2-2-1000-100-1-100001100
χ362222-1222-1222-1-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-1000-2-200000-2-21-211111000221000100110000-1-100
χ372-2-22222-2-22-2-22-22-2-2222-2-200000-220000000002i−2i00000002i−2i000000000000002i−2i0002i−2i02-200000
χ382-2-22222-2-22-2-22-22-2-2222-2-200000-220000000002i−2i0000000−2i2i000000000000002i−2i000−2i2i0-2200000
χ392-2-22222-2-22-2-22-22-2-2222-2-200000-22000000000−2i2i00000002i−2i00000000000000−2i2i0002i−2i0-2200000
χ402-2-22222-2-22-2-22-22-2-2222-2-200000-22000000000−2i2i0000000−2i2i00000000000000−2i2i000−2i2i02-200000
χ4144444-2-4-44-2-2-244-2-2-2-22-42-400000220000000040000-4-2-2000000000000000002000000000000000
χ4244444-2-4-44-2-2-244-2-2-2-22-42-4000002200000000-4000042200000000000000000-2000000000000000
χ434444-24-4-4-2444-2-2-2-2-2-2-42-420000022000000000004-40000000000000000000-20002000000000000
χ444444-24-4-4-2444-2-2-2-2-2-2-42-42000002200000000000-4400000000000000000002000-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-2-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-1000000000000-22211-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-10000000000002-2-2-1-1110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-21111000000000000222-1-1-1-10000000000000000000000
χ4944-4-444004-4-44-4-44-44-4000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ5044-4-444004-4-44-4-44-44-40000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ5144-4-44-200422-2-4-4-22-2200000000000006−666−6−6000000−2i32i3−2i22i20000000000000000000i2−i20000000000
χ5244-4-44-200422-2-4-4-22-2200000000000006−666−6−60000002i3−2i32i2−2i20000000000000000000−i2i20000000000
χ5344-4-44-200422-2-4-4-22-220000000000000−66−6−666000000−2i32i32i2−2i20000000000000000000−i2i20000000000
χ5444-4-44-200422-2-4-4-22-220000000000000−66−6−6660000002i3−2i3−2i22i20000000000000000000i2−i20000000000
χ554-44-44400-4-44-4-4444-4-4000000000000000000000000000000000000004i−4i00000000000000000000
χ564-44-44400-4-44-4-4444-4-400000000000000000000000000000000000000−4i4i00000000000000000000
χ574-4-4444-44-44-4-44-44-4-44-4-444000004-40000000000000000000000000000000000000000000000000
χ584-4-444-24-4-4-2224-4-222-2-242-4000002-20000000004i−4i00000000000000000000000−2i2i0000000000000
χ594-4-444-24-4-4-2224-4-222-2-242-4000002-2000000000−4i4i000000000000000000000002i−2i0000000000000
χ604-4-444-2-44-4-2224-4-222-22-4-2400023−23-220000000000000000000000023−23000000000000000000000000
χ614-4-444-2-44-4-2224-4-222-22-4-24000−2323-2200000000000000000000000−2323000000000000000000000000
χ624-4-44-244-424-4-4-22-222-24-2-42000002-20000000000000000004i−4i0000000000000000000−2i2i00000000
χ634-4-44-244-424-4-4-22-222-24-2-42000002-2000000000000000000−4i4i00000000000000000002i−2i00000000
χ644-4-44-24-4424-4-4-22-222-2-424-200000-2223−230023−2323−2300000000000000000000000000000000000000000
χ654-4-44-24-4424-4-4-22-222-2-424-200000-22−232300−2323−232300000000000000000000000000000000000000000
χ664-4-44-2-2-442-222-221-1-1122-2-200023−231-123−2300−33−33000000000000000−333-30000000000000000000000
χ674-4-44-2-2-442-222-221-1-1122-2-200023−231-1−2323003−33−3000000000000000−33-330000000000000000000000
χ684-4-44-2-2-442-222-221-1-1122-2-2000−23231-123−2300−33−330000000000000003−3-330000000000000000000000
χ694-4-44-2-2-442-222-221-1-1122-2-2000−23231-1−2323003−33−30000000000000003−33-30000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-8-4800-4-8-8844-44-44000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-444-4442-22-2000000000000026−26−6−66600000000000000000000000000000000000000000
χ7388-8-8-4-400-444-4442-22-20000000000000−262666−6−600000000000000000000000000000000000000000
χ748-88-88-400-84-44-88-4-444000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48004-88-84-4-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-444-422-2-200000000000000032−32−323200000000000000000000000000000000000000000
χ778-88-8-4-40044-444-422-2-2000000000000000−323232−3200000000000000000000000000000000000000000
χ788-8-88-4-48-84-444-442-2-22-4-44400000-220000000000000000000000000000000000000000000000000

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