Finite Group Databasebeta

← Group #11884251

Character table — Group #11884251

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666222346666612121212121212121212121246666666666612121212121212121212228888442446666882424242424242424244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ51111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-111-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1111-1-1-1-111-1-111-1-11-1-1-11-11
χ61111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-111-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-111-1-11-1-1-11111-1-1-1111-11-1
χ71111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-11-1-111-1111-1-1-1-111-111-111-1
χ81111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1111-1-11-1-11
χ911111111111111-1-111111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11-1-111111-11111-1-1-1-1-1-1-1-1-111
χ1011111111111111-1-111111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-1
χ1111111111111111-1-111111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111111111-1-1-1-1
χ1211111111111111-1-111111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-11111
χ1311111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-11-111-1-1-1111-1-1-1-111-1111-1-11
χ1411111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1-111-1
χ1511111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-111-1-111-1-111-1-11-1-11-11-1
χ1611111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-11-1-1111-1-1-11111-1-1-111-11-11
χ17222222-2-22222220022-222222-2-2-2-2-2-2-2-2-2-2-2-20002000000220000-2-200000000002200000000000000000-22-20000
χ18222222-2-22222220022-222222-2-2-2-2-2-2-2-2-2-2-2-20002000000220000-2-20000000000-2-2000000000000000002-220000
χ19222222-2-222222200-222-2-2222-222222222-2-2-2000-2000000-2-20000-2-200000000002200000000000000000-2-220000
χ20222222-2-222222200-222-2-2222-222222222-2-2-2000-2000000-2-20000-2-20000000000-2-20000000000000000022-20000
χ2122222-1222-1-1-122222-12-1-1-1-1-1-1-1-122-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000200-1-1-1-1020000-1-1-1-10000000
χ2222222-1222-1-1-122222-12-1-1-1-1-1-1-1-122-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-20011110-2000011110000000
χ2322222-1222-1-1-12222-2-1-211-1-1-1-111-2-2111122-1-222-2-1-1-1-1-1-11111-2-2-1-1111122220000-200-1-1110-20000-1-1110000000
χ2422222-1222-1-1-12222-2-1-211-1-1-1-111-2-2111122-1-222-2-1-1-1-1-1-11111-2-2-1-11111-2-2-2-2000020011-1-102000011-1-10000000
χ2522222-1222-1-1-122-2-22-12-1-1-1-1-1-1-1-122-1-1-1-122-1-2-2-22111111-1-111-2-2-1-1111122-2-20000200-1-1-1-10-2000011110000000
χ2622222-1222-1-1-122-2-22-12-1-1-1-1-1-1-1-122-1-1-1-122-1-2-2-22111111-1-111-2-2-1-11111-2-2220000-2001111020000-1-1-1-10000000
χ2722222-1222-1-1-122-2-2-2-1-211-1-1-1-111-2-2111122-12-2-2-211111111-1-122-1-1-1-1-1-122-2-20000-200-1-11102000011-1-10000000
χ2822222-1222-1-1-122-2-2-2-1-211-1-1-1-111-2-2111122-12-2-2-211111111-1-122-1-1-1-1-1-1-2-222000020011-1-10-20000-1-1110000000
χ292222-1222-1222-1-1222-1222-1-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200022000020-1-1-1-10000000-1-100
χ302222-1222-1222-1-1222-1222-1-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2000-2-20000-20111100000001100
χ312222-1222-1222-1-122-2-1-2-2-2-1-1-12-2-2111111-1-12-2-1-1122-1-1-1-111-2-211-1-11111000022000-220000-20-1-11100000001-100
χ322222-1222-1222-1-122-2-1-2-2-2-1-1-12-2-2111111-1-12-2-1-1122-1-1-1-111-2-211-1-111110000-2-20002-200002011-1-10000000-1100
χ332222-1222-1222-1-1-2-22-1222-1-1-1222-1-1-1-1-1-1-1-12-211-1-2-21111-1-1-2-211-1-11111000022000-2-2000020-1-1-1-100000001100
χ342222-1222-1222-1-1-2-22-1222-1-1-1222-1-1-1-1-1-1-1-12-211-1-2-21111-1-1-2-211-1-111110000-2-2000220000-2011110000000-1-100
χ352222-1222-1222-1-1-2-2-2-1-2-2-2-1-1-12-2-2111111-1-122111-2-211111122-1-1-1-1-1-1-1-10000220002-20000-20-1-1110000000-1100
χ362222-1222-1222-1-1-2-2-2-1-2-2-2-1-1-12-2-2111111-1-122111-2-211111122-1-1-1-1-1-1-1-10000-2-2000-2200002011-1-100000001-100
χ372-2-2222-22-2-2-22-222-202000-2-22-2000000002-2202-202-222-2-20000002-200002-22-200000002-2000000002-2000000000
χ382-2-2222-22-2-2-22-222-202000-2-22-2000000002-2202-202-222-2-20000002-20000-22-220000000-2200000000-22000000000
χ392-2-2222-22-2-2-22-22-2202000-2-22-2000000002-220-220-22-2-2220000002-200002-2-2200000002-200000000-22000000000
χ402-2-2222-22-2-2-22-22-2202000-2-22-2000000002-220-220-22-2-2220000002-20000-222-20000000-22000000002-2000000000
χ412-2-222-1-22-211-1-222-20-10−i3i311-11−i3i300−i3−i3i3i32-2-102-20-11-1-111−i3i3−i3i300-11−i3−i3i3i32-22-20000000-11−i3i3000000-11−i3i30000000
χ422-2-222-1-22-211-1-222-20-10−i3i311-11−i3i300−i3−i3i3i32-2-102-20-11-1-111−i3i3−i3i300-11−i3−i3i3i3-22-2200000001-1i3−i30000001-1i3−i30000000
χ432-2-222-1-22-211-1-222-20-10i3−i311-11i3−i300i3i3−i3−i32-2-102-20-11-1-111i3−i3i3−i300-11i3i3−i3−i32-22-20000000-11i3−i3000000-11i3−i30000000
χ442-2-222-1-22-211-1-222-20-10i3−i311-11i3−i300i3i3−i3−i32-2-102-20-11-1-111i3−i3i3−i300-11i3i3−i3−i3-22-2200000001-1−i3i30000001-1−i3i30000000
χ452-2-222-1-22-211-1-22-220-10−i3i311-11−i3i300−i3−i3i3i32-2-10-2201-111-1-1−i3i3i3−i300-11i3i3−i3−i32-2-220000000-11−i3i30000001-1i3−i30000000
χ462-2-222-1-22-211-1-22-220-10−i3i311-11−i3i300−i3−i3i3i32-2-10-2201-111-1-1−i3i3i3−i300-11i3i3−i3−i3-222-200000001-1i3−i3000000-11−i3i30000000
χ472-2-222-1-22-211-1-22-220-10i3−i311-11i3−i300i3i3−i3−i32-2-10-2201-111-1-1i3−i3−i3i300-11−i3−i3i3i32-2-220000000-11i3−i30000001-1−i3i30000000
χ482-2-222-1-22-211-1-22-220-10i3−i311-11i3−i300i3i3−i3−i32-2-10-2201-111-1-1i3−i3−i3i300-11−i3−i3i3i3-222-200000001-1−i3i3000000-11i3−i30000000
χ4944444-2-4-44-2-2-244004-2-4-2-2-2-2-2222-4-42222-4-420004000000-2-2000022000000000000000000000000000000000000
χ5044444-2-4-44-2-2-24400-4-2422-2-2-22-2-244-2-2-2-2-4-42000-400000022000022000000000000000000000000000000000000
χ514444-24-4-4-2444-2-2004-2-444-2-2-2-4-4-422222222-4000-2000000-2-2000022000000000000000000000000000000000000
χ524444-24-4-4-2444-2-200-4-24-4-4-2-2-2-444-2-2-2-2-2-222-4000200000022000022000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244414-2-2111-2-2-2-2-21111-2-2-24-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-244-41-422111-22222-1-1-1-1-2-2-2-4-2-22-2-21111-1-1222211-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4414-2-2111-2-2-2-2-21111-2-2-2-422-222-1-1-1-111222211-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-41-422111-22222-1-1-1-1-2-2-2422222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-20041-4-2-211122222-1-1-1-1222000-2003-33-3110000-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-20041-4-2-211122222-1-1-1-1222000-200-33-33110000-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-200-414221112-2-2-2-211112220002003-33-3-1-10000-1-1-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-200-414221112-2-2-2-21111222000200-33-33-1-10000-1-13-33-300000000000000000000000000000000
χ6144-4-44400-44-4-44-400040004-4-400000000000000000000000000000000000000−2i22i200000000000−2i22i20000000000000
χ6244-4-44400-44-4-44-400040004-4-4000000000000000000000000000000000000002i2−2i2000000000002i2−2i20000000000000
χ6344-4-4-240024-4-4-22000-2000-22200023−2323−2323−2300000000000000000000000000000−2i22i200000000000i2−i2i6−i600000000000
χ6444-4-4-240024-4-4-22000-2000-22200023−2323−2323−23000000000000000000000000000002i2−2i200000000000−i2i2−i6i600000000000
χ6544-4-4-240024-4-4-22000-2000-222000−2323−2323−232300000000000000000000000000000−2i22i200000000000i2−i2−i6i600000000000
χ6644-4-4-240024-4-4-22000-2000-222000−2323−2323−2323000000000000000000000000000002i2−2i200000000000−i2i2i6−i600000000000
χ674-44-444004-44-4-4-40004000-44-400000000000000000000000000000000000000004i−4i000000000000000000000000
χ684-44-444004-44-4-4-40004000-44-40000000000000000000000000000000000000000−4i4i000000000000000000000000
χ694-4-44444-4-4-4-44-440004000-4-44400000000-44-40000000000000000-44000000000000000000000000000000000000
χ704-4-444-24-4-422-2-44000-20−2i32i322-2-22i3−2i3002i32i3−2i3−2i3-4420000000000−2i32i300002-2000000000000000000000000000000000000
χ714-4-444-24-4-422-2-44000-202i3−2i322-2-2−2i32i300−2i3−2i32i32i3-44200000000002i3−2i300002-2000000000000000000000000000000000000
χ724-4-44-244-42-4-442-2000-200022-24000000002-2-400000000000000−2i32i32-2−2i32i32i3−2i300000000000000000000000000000000
χ734-4-44-244-42-4-442-2000-200022-24000000002-2-4000000000000002i3−2i32-22i3−2i3−2i32i300000000000000000000000000000000
χ744-4-44-24-442-4-442-24-40-200022-2-400000000-2240-2204-4-2-222000000-22000000000000000000000000000000000000
χ754-4-44-24-442-4-442-2-440-200022-2-400000000-22402-20-4422-2-2000000-22000000000000000000000000000000000000
χ764-4-44-2-24-4222-22-200010−2i32i3-1-11-22i3−2i300−i3−i3i3i32-220000003-3-33i3−i3002i3−2i3-11−i3i3i3−i300000000000000000000000000000000
χ774-4-44-2-24-4222-22-200010−2i32i3-1-11-22i3−2i300−i3−i3i3i32-22000000-333-3i3−i300−2i32i3-11i3−i3−i3i300000000000000000000000000000000
χ784-4-44-2-24-4222-22-2000102i3−2i3-1-11-2−2i32i300i3i3−i3−i32-220000003-3-33−i3i300−2i32i3-11i3−i3−i3i300000000000000000000000000000000
χ794-4-44-2-24-4222-22-2000102i3−2i3-1-11-2−2i32i300i3i3−i3−i32-22000000-333-3−i3i3002i3−2i3-11−i3i3i3−i300000000000000000000000000000000
χ804-4-44-2-2-44222-22-24-4010−2i32i3-1-112−2i32i300i3i3−i3−i3-22-20-220-2211-1-1i3−i3−2i32i3001-1i3i3−i3−i300000000000000000000000000000000
χ814-4-44-2-2-44222-22-24-40102i3−2i3-1-1122i3−2i300−i3−i3i3i3-22-20-220-2211-1-1−i3i32i3−2i3001-1−i3−i3i3i300000000000000000000000000000000
χ824-4-44-2-2-44222-22-2-44010−2i32i3-1-112−2i32i300i3i3−i3−i3-22-202-202-2-1-111i3−i32i3−2i3001-1−i3−i3i3i300000000000000000000000000000000
χ834-4-44-2-2-44222-22-2-440102i3−2i3-1-1122i3−2i300−i3−i3i3i3-22-202-202-2-1-111−i3i3−2i32i3001-1i3i3−i3−i300000000000000000000000000000000
χ8488-8-88-400-8-4448-8000-4000-444000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-444-4400020002-2-200043−43−2323−2323000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-444-4400020002-2-2000−434323−2323−23000000000000000000000000000000000000000000000000000000000
χ878-88-88-40084-44-8-8000-40004-44000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4800-4-88-844000-40004-44000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-44-44440002000-22-2000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-44-44440002000-22-200000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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