Finite Group Databasebeta

← Group #11884803

Character table — Group #11884803

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order1222334466666636668812121212246612121212242424242424242424444444121212126661212122244688121212121224242424488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111-1-1-1-111111111-1-11-111-1-1-1-11111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-111-1-1-11111-1-1111111-1-1-11-1-11111-1-1-1-111-1-1-11-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-11-111
χ7111111111111111111111111-1-1-1-1-1-11111111111-111-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-1111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111-1-11111111-1-1-111-111-1-11-1-111-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-1-111111-1-111111-1-1-1-1-1-1-11-11-11111-1-111-111-1-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-1-111-11-11-1-1-1-111-1-1-11111-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1111-1-111-111-1-111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111111-11-1-1111-1-1-1-1-1-11-1-1-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1111-1-1111-11-1-1-1-1-1-1-111-111111-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1111-1-1-1-1-11-11111111-1-1-111-1-11-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-11-111-1-1-11111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-20000-2-2-2-2000000-2-2002002000000002000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-22-2000022-2-20000002200200-200000000-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-22-220000-2-2220000002200-200200000000-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-22200002222000000-2-200-200-2000000002000000
χ2122222-122-1-1222-1-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-12002220000-1-12-1-1-1-1-10020-120000-1-1-1-1000000-100
χ2222222-122-1-1222-1-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-1-200-2-2-20000112-1-1-1-1-100-201-200001111000000100
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-12002-2-20000-1-1-21111100-20-12000011-1-1000000100
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-1-200-222000011-21111100201-20000-1-111000000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-211112002220000-1-12-1-111100-20-1-20000-1-111000000100
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-21111-200-2-2-20000112-1-1111002012000011-1-1000000-100
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-221122-1-111-2-211112002-2-20000-1-1-211-1-1-10020-1-200001111000000-100
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-221122-1-111-2-21111-200-222000011-211-1-1-100-20120000-1-1-1-1000000100
χ292222-122222-1-1-12-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-102200022-1-100-1-1-12-1-10002002-1-1-10000-1-1000-1000
χ302222-122222-1-1-12-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-10-2-2000-2-21100-1-1-12-1-1000-200-21110000110001000
χ312222-122222-1-1-12-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1022000-2-2-1-100111-211000-2002-1110000-1-10001000
χ322222-122222-1-1-12-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-10-2-2000221100111-211000200-21-1-1000011000-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-122-12-22211-1-1-2-2111111022000-2-2-1-100-1-1-1-211000200-2-111000011000-1000
χ342222-122222-1-1-12-1-1-1-1-2-2-122-12-22211-1-1-2-21111110-2-2000221100-1-1-1-211000-20021-1-10000-1-10001000
χ352222-122222-1-1-12-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-211111102200022-1-1001112-1-1000-200-2-1-1-10000110001000
χ362222-122222-1-1-12-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-21111110-2-2000-2-211001112-1-100020021110000-1-1000-1000
χ372-2-2222-22-2-2-2-2222-22-200-22-22000000-220000000000002-22-20000000000000000002-22-2000002-20000
χ382-2-2222-22-2-2-2-2222-22-200-22-22000000-220000000000002-2-22000000000000000000-222-200000-220000
χ392-2-2222-22-2-2-2-2222-22-200-22-22000000-22000000000000-222-20000000000000000002-2-2200000-220000
χ402-2-2222-22-2-2-2-2222-22-200-22-22000000-22000000000000-22-22000000000000000000-22-22000002-20000
χ4144444-2-4-4-2-2444-2-2-2-2-200-422-40000002200000000400-4000000220000000000-2000000000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-200-422-40000002200000000-4004000000-2-200000000002000000000000000000
χ434444-24-4-444-2-2-24-2-2-2-2002-4-42000000220000000004-40000022000000000000000-2000000000000000
χ444444-24-4-444-2-2-24-2-2-2-2002-4-4200000022000000000-4400000-2-20000000000000002000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-211-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000000002-1-12-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2112-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-1-1-21100000000000000000000000
χ4944-4-44400-44-44-4-44-4-4422−2200000000000022−2222−222222−22−2200000000000000000000000000000000000000000
χ5044-4-44400-44-44-4-44-4-44−2222000000000000−2222−2222−22−22222200000000000000000000000000000000000000000
χ5144-4-44-2002-2-44-42-222-222−22000000000000−2222−22−2−222000000000023−230000000000000000006−6000000000
χ5244-4-44-2002-2-44-42-222-222−22000000000000−2222−22−2−2220000000000−2323000000000000000000−66000000000
χ5344-4-44-2002-2-44-42-222-2−22220000000000002−2−222222−2−2000000000023−23000000000000000000−66000000000
χ5444-4-44-2002-2-44-42-222-2−22220000000000002−2−222222−2−20000000000−23230000000000000000006−6000000000
χ5544-4-4-2400-442-22-4-222-222−2200000000000022−22−22−2−2220000000023−2300000000000000000000006−60000000
χ5644-4-4-2400-442-22-4-222-222−2200000000000022−22−22−2−22200000000−23230000000000000000000000−660000000
χ5744-4-4-2400-442-22-4-222-2−2222000000000000−22222−222−2−20000000023−230000000000000000000000−660000000
χ5844-4-4-2400-442-22-4-222-2−2222000000000000−22222−222−2−200000000−232300000000000000000000006−60000000
χ594-44-444004-44-4-4-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ604-44-444004-44-4-4-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ614-4-44444-4-4-4-4-4444-44-4004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-44-2-22-220042-2-400−2i32i300-22000000000000000000000−2i32i300000000000000000000000000
χ634-4-444-24-422-4-44-2-22-220042-2-4002i3−2i300-220000000000000000000002i3−2i300000000000000000000000000
χ644-4-444-2-4422-4-44-2-22-2200-4-2240000002-20000000000004-40000000000000000000000-2200000000000
χ654-4-444-2-4422-4-44-2-22-2200-4-2240000002-2000000000000-4400000000000000000000002-200000000000
χ664-4-44-244-4-4-422-24-22-2200-2-442000023−23-2200000000000000000000000023−2300000000000000000000000
χ674-4-44-244-4-4-422-24-22-2200-2-4420000−2323-22000000000000000000000000−232300000000000000000000000
χ684-4-44-24-44-4-422-24-22-220024-4-20000002-2000000000000004-4000000000000000000-220000000000000
χ694-4-44-24-44-4-422-24-22-220024-4-20000002-200000000000000-440000000000000000002-20000000000000
χ704-4-44-2-24-42222-2-21-11-100-22-2200−2i32i323−231-100003i−3i3i−3i0000000000000i3−i30−3300000000000000000000000
χ714-4-44-2-24-42222-2-21-11-100-22-2200−2i32i3−23231-10000−3i3i−3i3i0000000000000i3−i303−300000000000000000000000
χ724-4-44-2-24-42222-2-21-11-100-22-22002i3−2i323−231-10000−3i3i−3i3i0000000000000−i3i30−3300000000000000000000000
χ734-4-44-2-24-42222-2-21-11-100-22-22002i3−2i3−23231-100003i−3i3i−3i0000000000000−i3i303−300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-4004-44-4442-2-2242−42000000000000−2222−222222−2−200000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-2-22−424200000000000022−2222−22−2−22200000000000000000000000000000000000000000
χ778-88-88-400-448-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48008-8-444-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-44-444422-2-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ808-88-8-4-400-44-444422-2-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-22-2004-44-4000000-220000000000000000000000000000000000000000000000000

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