Finite Group Databasebeta

← Group #11895800

Character table — Group #11895800

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order1222334466666636661212121224668121224242424242424244444448888121266612121212442441212121212242424242246121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-1-1-111111111111-1-1-11-1-11-111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111-1-1-11-1111-1-1-1-11111111-1-11-111-11-1-111-1-1-1-1-11-11-1-1
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
χ511111111111111111111111-111-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1111-1-111111-1-1-1-1-1-111-1-11-1
χ611111111111111111111111-111-111-1-1-1-1-1-1-1-1111-11-111-1-111111-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-11-11
χ711111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1-1-1-1-1-111-11-11-1-1-1-11111-111-1-11
χ811111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-111-111-1-1-1-1-11111-1-11-1111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1-11111-1-1-1-111-1111-1-111-1-1-1-1-1111
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-11111111111-1-1-1-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1111111-111111-1-1-1-1-1-1111-111-1-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11111-1-111-1-11-1-1-111-1-1-1-1-111-111
χ131111111111111111111111-1-1-1-11111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111-1-111-1-11-11-1
χ141111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-11
χ151111111111111111111111-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1111-1-11111-1-11-1-1-1-11
χ161111111111111111111111-1-1-1-111111111111-1-11-11-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-11111-11-111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000000022-2-20000220000000220002-2-200000000-200000
χ18222222-2-22222222222-2-2-2-200000-2-200000000002-2-220000220000000-2-2000-2-2200000000200000
χ19222222-2-22222222222-2-2-2-200000-2-20000000000-222-20000-2-20000000-2-200022-200000000200000
χ20222222-2-22222222222-2-2-2-200000-2-20000000000-2-2220000-2-2000000022000-22200000000-200000
χ2122222-1222-1-12-12-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1000202220000-1-1-1-12-1-100202-10-100-1-100000-10-100
χ2222222-1222-1-12-12-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1000-20-2-2-20000-1-1-1-12-1-100-20-210100110000010100
χ2322222-1222-1-12-12-1-1-1-12-1-122-222-2-1-111-2-21111000202-2-20000-1-1-11-2110020-2-10-1001100000-10100
χ2422222-1222-1-12-12-1-1-1-12-1-122-222-2-1-111-2-21111000-20-2220000-1-1-11-21100-20210100-1-10000010-100
χ2522222-1222-1-12-12-1-1-1-12-1-12-22-2-2-2-1-111-2-21111000202-2-20000111-12-1-100-202-10-100110000010-100
χ2622222-1222-1-12-12-1-1-1-12-1-12-22-2-2-2-1-111-2-21111000-20-2220000111-12-1-10020-210100-1-100000-10100
χ2722222-1222-1-12-12-1-1-1-12-1-12-2-2-2-22-1-1-1-122-1-1-1-10002022200001111-21100-20-2-10-100-1-10000010100
χ2822222-1222-1-12-12-1-1-1-12-1-12-2-2-2-22-1-1-1-122-1-1-1-1000-20-2-2-200001111-21100202101001100000-10-100
χ292222-1222-122-12-1-1-1-1-1-122-122-1-12-1-122-1-1-1-1-1-12220200022-1-12-1-12-1-1-1000200-10-1-100-1-10000-1000
χ302222-1222-122-12-1-1-1-1-1-122-122-1-12-1-122-1-1-1-1-1-1-2-2-20-2000-2-2112-1-12-1-1-1000-2001011001100001000
χ312222-1222-122-12-1-1-1-1-1-122-12-2-1-1-2-1-1-2-211111122202000-2-2-1-12-1-1-2111000-200-10-1-1001100001000
χ322222-1222-122-12-1-1-1-1-1-122-12-2-1-1-2-1-1-2-2111111-2-2-20-200022112-1-1-2111000200101100-1-10000-1000
χ332222-1222-122-12-1-1-1-1-1-122-1-2211-2-1-1-2-211111122-20-20002211-2112-1-1-1000-20010-1-100-1-100001000
χ342222-1222-122-12-1-1-1-1-1-122-1-2211-2-1-1-2-2111111-2-2202000-2-2-1-1-2112-1-1-1000200-101100110000-1000
χ352222-1222-122-12-1-1-1-1-1-122-1-2-2112-1-122-1-1-1-1-1-122-20-2000-2-211-211-211100020010-1-100110000-1000
χ362222-1222-122-12-1-1-1-1-1-122-1-2-2112-1-122-1-1-1-1-1-1-2-220200022-1-1-211-2111000-200-101100-1-100001000
χ3722-2-222-2222-2-2-2-22-22-2-22-2200000-22000000002i−2i00002i−2i00000000000000000002i−2i2i−2i002-2000000
χ3822-2-222-2222-2-2-2-22-22-2-22-2200000-22000000002i−2i0000−2i2i00000000000000000002i−2i−2i2i00-22000000
χ3922-2-222-2222-2-2-2-22-22-2-22-2200000-2200000000−2i2i00002i−2i0000000000000000000−2i2i2i−2i00-22000000
χ4022-2-222-2222-2-2-2-22-22-2-22-2200000-2200000000−2i2i0000−2i2i0000000000000000000−2i2i−2i2i002-2000000
χ4144444-2-4-44-2-24-24-2-2-2-2-422-400000220000000000040-4000000000000000000-20200000000000000
χ4244444-2-4-44-2-24-24-2-2-2-2-422-4000002200000000000-40400000000000000000020-200000000000000
χ434444-24-4-4-244-24-2-2-2-2-22-4-420000022000000000040-400000-2-200000000000002000000000000000
χ444444-24-4-4-244-24-2-2-2-2-22-4-4200000220000000000-40400000220000000000000-2000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-244-2-2411-2-2-2-21111000000000000-211-2-2110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-2-2-4112222-1-1-1-1000000000000-21122-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-4422-4112222-1-1-1-10000000000002-1-1-2-2110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-422411-2-2-2-211110000000000002-1-122-1-10000000000000000000000
χ4944-4-4444-444-4-4-4-44-44-44-44-4000004-40000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-42-4-22-2242-2-400000-2223−23002323−23−2300000000000000000000000000000000000000000
χ5144-4-44-24-44-22-42-4-22-2242-2-400000-22−232300−23−23232300000000000000000000000000000000000000000
χ5244-4-44-2-444-22-42-4-22-22-4-224000002-2000000000000004i−4i000000000000000000000−2i2i0000000000
χ5344-4-44-2-444-22-42-4-22-22-4-224000002-200000000000000−4i4i0000000000000000000002i−2i0000000000
χ5444-4-4-244-4-24-42-42-22-22-2-44200−2i32i30-22000000000000000000000−2i32i300000000000000000000000000
χ5544-4-4-244-4-24-42-42-22-22-2-442002i3−2i30-220000000000000000000002i3−2i300000000000000000000000000
χ5644-4-4-24-44-24-42-42-22-2224-4-2000002-2000000004i−4i0000000000000000000000000−2i2i000000000000
χ5744-4-4-24-44-24-42-42-22-2224-4-2000002-200000000−4i4i00000000000000000000000002i−2i000000000000
χ5844-4-4-2-24-4-2-222221-11-1-22-2200−2i32i301-123−2300−3−3330000000000000i3−i3003i−3i0000000000000000000000
χ5944-4-4-2-24-4-2-222221-11-1-22-2200−2i32i301-1−23230033−3−30000000000000i3−i300−3i3i0000000000000000000000
χ6044-4-4-2-24-4-2-222221-11-1-22-22002i3−2i301-123−2300−3−3330000000000000−i3i300−3i3i0000000000000000000000
χ6144-4-4-2-24-4-2-222221-11-1-22-22002i3−2i301-1−23230033−3−30000000000000−i3i3003i−3i0000000000000000000000
χ624-44-44400-4-44-4-444-4-44000000000000000000000000000000000000004-400000000000000000000
χ634-44-44400-4-44-4-444-4-4400000000000000000000000000000000000000-4400000000000000000000
χ644-4-444400-4-4-444-444-4-400000000000000000000000000022−2200000000000000000000022−2200000000
χ654-4-444400-4-4-444-444-4-4000000000000000000000000000−2222000000000000000000000−222200000000
χ664-4-44-24002-4-4-242-2-22200000000000006−66−66−60000000022−2223−230000000000000000000−2200000000
χ674-4-44-24002-4-4-242-2-22200000000000006−66−66−600000000−2222−232300000000000000000002−200000000
χ684-4-44-24002-4-4-242-2-2220000000000000−66−66−660000000022−22−23230000000000000000000−2200000000
χ694-4-44-24002-4-4-242-2-2220000000000000−66−66−6600000000−222223−2300000000000000000002−200000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-8-4-4-88-4-444442-22-24-44-400000-220000000000000000000000000000000000000000000000000
χ728-88-88-400-84-4-848-444-4000000000000000000000000000000000000000000000000000000000000
χ738-88-8-48004-884-8-4-444-4000000000000000000000000000000000000000000000000000000000000
χ748-88-8-4-40044-444-42-2-2200000000000000032−32−323200000000000000000000000000000000000000000
χ758-88-8-4-40044-444-42-2-22000000000000000−323232−3200000000000000000000000000000000000000000
χ768-8-888-400-8448-4-8-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400444-4-4422-2-2000000000000026−26−66−6600000000000000000000000000000000000000000
χ788-8-88-4-400444-4-4422-2-20000000000000−26266−66−600000000000000000000000000000000000000000

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