Finite Group Databasebeta

← Group #11884341

Character table — Group #11884341

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212124412121212121224242424242424242222244412121212121212121212444466666881224242424288121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11-1-111111111-1-11-1-1-11111-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-1-11111-111-1-1111111-1-1-1111-1-1-1-111-1-111-1-1-11-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1111-1-11-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-11-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-11111-111-1-11-111-1-1-1-1-1-11111-11-1111-1-1-111-1-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-11-1-111-111-111111-1-11-11-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111111-111-1-1111-111-1-11-1-11-1-1-1-11-1-1-111-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-11-11-1-1-111-11111-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-11-1-111-1-1-1-111111-11-1-1-111-111-1-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111-1-11111111-11-1-11111-11-1-1111-1-11-1-1-1-11-1-11-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-111-1-1-111-111111-1-1-11-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1-111-1-111-1-1-1-1-11-1111-1-1-111111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000002002-2-222-2-200000022000000200-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-20000000000200-22-2-2-2-2-2000000-2-2000000200200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-2002-222222000000-2-2000000-200-200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-200-222-2-22200000022000000-20020000-2000000
χ2122222-122-1-1222-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-12220000200-1-1-12-1-1-1-1002000-1-1-1200-1-1000000-100
χ2222222-122-1-1222-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-1-2-2-20000-20011-12-1-1-1-100-2000111-20011000000100
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-122-20000-200111-21111002000-1-11-20011000000-100
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-1-2-220000200-1-11-2111100-200011-1200-1-1000000100
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-122-22211-1-111-2-2111122-20000-20011-1-2-1-11100-2000-1-11200-1-1000000100
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122-22211-1-111-2-21111-2-220000200-1-1-1-2-1-11100200011-1-20011000000-100
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-211112220000200-1-11211-1-100-2000-1-1-1-20011000000100
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-21111-2-2-20000-200111211-1-1002000111200-1-1000000-100
χ292222-122222-1-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-100022220-1-1002-1-1-1-1-10002-1-100002-100-1-1000-1000
χ302222-122222-1-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1000-2-2-2-2011002-1-1-1-1-1000-2110000-2100110001000
χ312222-122222-1-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-100022-2-201100-2111110002-1-10000-210011000-1000
χ322222-122222-1-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-1000-2-2220-1-100-211111000-21100002-100-1-10001000
χ332222-122222-1-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-211111100022220-1-10021-1-111000-2-1-10000-2-100110001000
χ342222-122222-1-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-2111111000-2-2-2-20110021-1-11100021100002100-1-1000-1000
χ352222-122222-1-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-211111100022-2-201100-2-111-1-1000-2-1-100002100-1-10001000
χ362222-122222-1-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-2111111000-2-2220-1-100-2-111-1-10002110000-2-10011000-1000
χ372-2-2222-22-2-2-2-2222-2-2200-22-22000000-22000000002-202-2000000000000000002-22-20000000002-20000
χ382-2-2222-22-2-2-2-2222-2-2200-22-22000000-22000000002-20-2200000000000000000-222-2000000000-220000
χ392-2-2222-22-2-2-2-2222-2-2200-22-22000000-2200000000-2202-2000000000000000002-2-22000000000-220000
χ402-2-2222-22-2-2-2-2222-2-2200-22-22000000-2200000000-220-2200000000000000000-22-220000000002-20000
χ4144444-2-4-4-2-2444-2-2-2-2-200-422-400000022000000000040000-4002200000000000000-200000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-200-422-4000000220000000000-40000400-2-200000000000000200000000000000
χ434444-24-4-444-2-2-24-2-2-2-2002-4-420000002200000000000004-40-2-20000000000000000000200000000000
χ444444-24-4-444-2-2-24-2-2-2-2002-4-42000000220000000000000-440220000000000000000000-200000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ4944-4-44400-44-44-4-44-44-4−2i22i2000000000000−2i22i2−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000000
χ5044-4-44400-44-44-4-44-44-42i2−2i20000000000002i2−2i22i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000000
χ5144-4-44-2002-2-44-42-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i2000000000023−23000000000000000000i6−i6000000000
χ5244-4-44-2002-2-44-42-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i20000000000−2323000000000000000000−i6i6000000000
χ5344-4-44-2002-2-44-42-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i2000000000023−23000000000000000000−i6i6000000000
χ5444-4-44-2002-2-44-42-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i20000000000−2323000000000000000000i6−i6000000000
χ5544-4-4-2400-442-22-4-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i200000000−2i32i300000000000000000000006−60000000
χ5644-4-4-2400-442-22-4-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i2000000002i3−2i30000000000000000000000−660000000
χ5744-4-4-2400-442-22-4-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i200000000−2i32i30000000000000000000000−660000000
χ5844-4-4-2400-442-22-4-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i2000000002i3−2i300000000000000000000006−60000000
χ594-44-444004-44-4-4-444-4-400000000000000000000000000000000000000004i−4i000000000000000000000
χ604-44-444004-44-4-4-444-4-40000000000000000000000000000000000000000−4i4i000000000000000000000
χ614-4-44444-4-4-4-4-4444-4-44004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-44-2-222-20042-2-40000−2i32i3-22000000000000000000000000−2i32i300000000000000000000000
χ634-4-444-24-422-4-44-2-222-20042-2-400002i3−2i3-220000000000000000000000002i3−2i300000000000000000000000
χ644-4-444-2-4422-4-44-2-222-200-4-2240000002-2000000004-40000000000000000000000-22000000000000000
χ654-4-444-2-4422-4-44-2-222-200-4-2240000002-200000000-4400000000000000000000002-2000000000000000
χ664-4-44-244-4-4-422-24-222-200-2-4420023−2300-22000000000000000000000023−230000000000000000000000000
χ674-4-44-244-4-4-422-24-222-200-2-44200−232300-220000000000000000000000−23230000000000000000000000000
χ684-4-44-24-44-4-422-24-222-20024-4-20000002-2000000000004-400000000000000000-2200000000000000000
χ694-4-44-24-44-4-422-24-222-20024-4-20000002-200000000000-44000000000000000002-200000000000000000
χ704-4-44-2-24-42222-2-21-1-1100-22-220023−23−2i32i31-100003i−3i3i−3i00000000000000−33i3−i300000000000000000000000
χ714-4-44-2-24-42222-2-21-1-1100-22-220023−232i3−2i31-10000−3i3i−3i3i00000000000000−33−i3i300000000000000000000000
χ724-4-44-2-24-42222-2-21-1-1100-22-2200−2323−2i32i31-10000−3i3i−3i3i000000000000003−3i3−i300000000000000000000000
χ734-4-44-2-24-42222-2-21-1-1100-22-2200−23232i3−2i31-100003i−3i3i−3i000000000000003−3−i3i300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-4004-44-4442-22-2−4i24i20000000000002i2−2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-22-24i2−4i2000000000000−2i22i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ778-88-88-400-448-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48008-8-444-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-44-444422-2-200000000000000000032−32−323200000000000000000000000000000000000000000
χ808-88-8-4-400-44-444422-2-2000000000000000000−323232−3200000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-2-22004-44-4000000-220000000000000000000000000000000000000000000000000

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