Finite Group Databasebeta

← Group #11889317

Character table — Group #11889317

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order1222334466666636668812121212441212121212122424242424242424222444441212121212121212121244446668812121224242424288121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1111-111111111111-1-1-1-1-1111-111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-1-11-1-1-1-1-1111111-1-1111-1-1-11-1-11-1-111-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-11111111-1-1-1-1-1-111-1-11-1-111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-11-111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1111-1-111111111-111-1-1111-1111-1-1-1-11-1-1-1-11-1-1-111-1
χ10111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1111111-111-1-1-1-1-11-111-11-1-1-1-1-111-1111-1-11
χ11111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-11-111-1-1-1-11-11-1-11-111111-1-1-111-11-11
χ12111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-1-111-11-1-1-11111-111111-1-11-11-1
χ13111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-11-1-111-1-1-111111-1-1-1111-1-1-1111-11-1
χ14111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-111111-1-1-11-11
χ15111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-1-1-11111111111-11-1-11111-111-1-1-1-1111-1-1-1-11-1-11-1-11
χ16111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-1-1-1-1111-111111-11-1-111-1-11-1-1-1-1-1111-1-1-111-111-111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000002002-2-2-2-22200000022002000000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-20000000000200-2-2222-2-2000000-2-2002000000-200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-20022-2-2-222000000-2-200-2000000200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-200-22222-2-20000002200-200000020000-2000000
χ2122222-1222-1-12-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-122022202-1-1-1-122-1-1-1-100000-1-120-1-10-1-1000000000
χ2222222-1222-1-12-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-2-20-2-2-20-2111122-1-1-1-10000011-2011011000000000
χ2322222-1222-1-12-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-122022-20-21111-2-2111100000-1-1-20-1-1011000000000
χ2422222-1222-1-12-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-1-2-20-2-2202-1-1-1-1-2-21111000001120110-1-1000000000
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-122-211-1-1-1-111-2-21111220-2-2202-1-1-1-12-2-1-11100000-1-1-2011011000000000
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-122-211-1-1-1-111-2-21111-2-2022-20-211112-2-1-111000001120-1-10-1-1000000000
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-12-22-1-111-1-111-2-21111220-2-2-20-21111-2211-1-100000-1-120110-1-1000000000
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-12-22-1-111-1-111-2-21111-2-2022202-1-1-1-1-2211-1-10000011-20-1-1011000000000
χ292222-1222-122-12-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-1002000200000-1-1-1-1-1-10022-1000200-100-1-1000-1-100
χ302222-1222-122-12-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-100-2000-200000-1-1-1-1-1-100-2-21000-200100110001100
χ312222-1222-122-12-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100200020000011111100-2-2-1000200-100-1-10001100
χ322222-1222-122-12-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100-2000-20000011111100221000-20010011000-1-100
χ332222-1222-122-12-1-1-1-1-1-2-2-122-12-2-2-222-1-1-2-2111111002000200000-11-1-111002-2-1000-200-100110001-100
χ342222-1222-122-12-1-1-1-1-1-2-2-122-12-2-2-222-1-1-2-211111100-2000-200000-11-1-11100-221000200100-1-1000-1100
χ352222-1222-122-12-1-1-1-1-1-2-2-122-1-2222-2-2-1-1-2-21111110020002000001-111-1-100-22-1000-200-10011000-1100
χ362222-1222-122-12-1-1-1-1-1-2-2-122-1-2222-2-2-1-1-2-211111100-2000-2000001-111-1-1002-21000200100-1-10001-100
χ372-22-2222-2-22-2-2-222-2-222i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i2-202i−2i0000000000000000002-2002i−2i000000000000
χ382-22-2222-2-22-2-2-222-2-222i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i-220−2i2i000000000000000000-2200−2i2i000000000000
χ392-22-2222-2-22-2-2-222-2-22−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i2-20−2i2i0000000000000000002-200−2i2i000000000000
χ402-22-2222-2-22-2-2-222-2-22−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i-2202i−2i000000000000000000-22002i−2i000000000000
χ412-22-22-12-2-2-11-212-111-12i−2i21-1-200−i3i33−3-11−ii2i−2i−i−iii2-202i−2i0003−33−3003−3−i3i300000-1100−ii0−i3i3000000000
χ422-22-22-12-2-2-11-212-111-12i−2i21-1-200−i3i33−3-11−ii2i−2i−i−iii-220−2i2i000−33−33003−3−i3i3000001-100i−i0i3−i3000000000
χ432-22-22-12-2-2-11-212-111-12i−2i21-1-200i3−i3−33-11−ii2i−2i−i−iii2-202i−2i000−33−3300−33i3−i300000-1100−ii0i3−i3000000000
χ442-22-22-12-2-2-11-212-111-12i−2i21-1-200i3−i3−33-11−ii2i−2i−i−iii-220−2i2i0003−33−300−33i3−i3000001-100i−i0−i3i3000000000
χ452-22-22-12-2-2-11-212-111-1−2i2i21-1-200−i3i3−33-11i−i−2i2iii−i−i2-20−2i2i000−33−3300−33−i3i300000-1100i−i0−i3i3000000000
χ462-22-22-12-2-2-11-212-111-1−2i2i21-1-200−i3i3−33-11i−i−2i2iii−i−i-2202i−2i0003−33−300−33−i3i3000001-100−ii0i3−i3000000000
χ472-22-22-12-2-2-11-212-111-1−2i2i21-1-200i3−i33−3-11i−i−2i2iii−i−i2-20−2i2i0003−33−3003−3i3−i300000-1100i−i0i3−i3000000000
χ482-22-22-12-2-2-11-212-111-1−2i2i21-1-200i3−i33−3-11i−i−2i2iii−i−i-2202i−2i000−33−33003−3i3−i3000001-100−ii0−i3i3000000000
χ4944444-2-4-44-2-24-24-2-2-2-200-422-400000022000000000000040-422-2-200000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-200-422-4000000220000000000000-404-2-22200000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-2002-4-420000002200000000004000-4000000000000000-2000000200000000000
χ524444-24-4-4-244-24-2-2-2-2-2002-4-42000000220000000000-400040000000000000002000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-422-2-2112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-44-2-222112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ5744-4-444004-4-4-44-44-44-4000000000000000000000000000000000000000000000000000000000−2i22i20000
χ5844-4-444004-4-4-44-44-44-40000000000000000000000000000000000000000000000000000000002i2−2i20000
χ594-44-444-44-44-4-4-444-4-4400-44-44000000-440000000000000000000000000000000000000000000000000
χ604-44-44-2-44-4-22-424-222-200-4-2240000002-2000000000000000023−23−232300000000000000000000000000000
χ614-44-44-2-44-4-22-424-222-200-4-2240000002-20000000000000000−232323−2300000000000000000000000000000
χ624-44-4-244-424-42-4-2-222-24i−4i-2-442000000-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ634-44-4-244-424-42-4-2-222-2−4i4i-2-442000000-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ644-44-4-24-4424-42-4-2-222-20024-4-20000002-20000000000000000000000000000000000000000−2i32i30000000
χ654-44-4-24-4424-42-4-2-222-20024-4-20000002-200000000000000000000000000000000000000002i3−2i30000000
χ664-44-4-2-24-42-2222-21-1-114i−4i-22-2200−2i32i323−231-1−2i2i−2i2iii−i−i00000000000000−33i3−i300000000000000000000000
χ674-44-4-2-24-42-2222-21-1-114i−4i-22-22002i3−2i3−23231-1−2i2i−2i2iii−i−i000000000000003−3−i3i300000000000000000000000
χ684-44-4-2-24-42-2222-21-1-11−4i4i-22-2200−2i32i3−23231-12i−2i2i−2i−i−iii000000000000003−3i3−i300000000000000000000000
χ694-44-4-2-24-42-2222-21-1-11−4i4i-22-22002i3−2i323−231-12i−2i2i−2i−i−iii00000000000000−33−i3i300000000000000000000000
χ704-4-444400-4-444-4-444-4-400000000000000000000000000000000000000004i−4i000000000000000000000
χ714-4-444400-4-444-4-444-4-40000000000000000000000000000000000000000−4i4i000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-400844-8-4-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4800-4-8-8484-44-44000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-4444-442-22-2000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ7688-8-8-4-400-4444-442-22-20000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ778-88-8-4-4-884-4444-42-2-22004-44-4000000-220000000000000000000000000000000000000000000000000
χ788-8-888-400-84-484-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-88-4-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-4-44422-2-200000000000000000032−32−323200000000000000000000000000000000000000000
χ818-8-88-4-40044-4-44422-2-2000000000000000000−323232−3200000000000000000000000000000000000000000

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