Finite Group Databasebeta

← Group #11884121

Character table — Group #11884121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order122233446666662223466666121212121212121212121212466666666666121212121212121212124488882244488121212122424242424242424444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1
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
χ51111111111111111-11-1-1-1111-1-11-1-1-1-1-1-1111-11111-11111-1-1-1-1-1-111-1-1-1-111111111-11-1-1-111-1-111-1-111-1-1-11-1-111-1
χ61111111111111111-11-1-1-1111-1-11-1-1-1-1-1-1111-11111-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-11111-1-11-111-1-11
χ71111111111111111-11-1-1-1111-1-11-1-1-1-1-1-1111-11111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11-1-11111-1-1-1-1111-11-11-11
χ81111111111111111-11-1-1-1111-1-11-1-1-1-1-1-1111-11111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1111-1-111-1-111-1-111-11-11-11-1
χ911111111111111-1-111111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11-1-11-111111111-1-1-1-1-1-1-1-1-111
χ1011111111111111-1-111111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ1111111111111111-1-111111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ1211111111111111-1-111111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-11111
χ1311111111111111-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11-1111-1-111-1-1-1-1111-111-11-1
χ1411111111111111-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-11-11111-1-1-1-111-1-111-11-1-11-11
χ1511111111111111-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111-11-1-1-1-11111-1-111-1-1-11-11-1-11
χ1611111111111111-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-11-1-1-111-1-11111-1-11-11-111-1
χ17222222-2-22222220022-222222-2-2-2-2-2-2-2-2-2-2-2-20000020000220000-2-2000000000022000000000000000002-2-20000
χ18222222-2-22222220022-222222-2-2-2-2-2-2-2-2-2-2-2-20000020000220000-2-20000000000-2-200000000000000000-2220000
χ19222222-2-222222200-222-2-222222-2222222-2-2-200000-20000-2-20000-2-200000000002200000000000000000-2-220000
χ20222222-2-222222200-222-2-222222-2222222-2-2-200000-20000-2-20000-2-20000000000-2-20000000000000000022-20000
χ2122222-12222-1-1-12222-1222-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100002200022200000-1-1-1-10000000-1-100
χ2222222-12222-1-1-12222-1222-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2000-2-2-200000111100000001100
χ2322222-12222-1-1-1222-2-1-2-2-2-1-1-1112-2-21111-1-12-222-1-11-1-1-1-11111-2-2-1-111110000220002-2-200000-1-11100000001-100
χ2422222-12222-1-1-1222-2-1-2-2-2-1-1-1112-2-21111-1-12-222-1-11-1-1-1-11111-2-2-1-111110000-2-2000-2220000011-1-10000000-1100
χ2522222-12222-1-1-12-2-22-1222-1-1-1-1-1222-1-1-1-1-1-12-2-2-211-11111-1-111-2-2-1-11111000022000-2-2200000-1-1-1-100000001100
χ2622222-12222-1-1-12-2-22-1222-1-1-1-1-1222-1-1-1-1-1-12-2-2-211-11111-1-111-2-2-1-111110000-2-200022-20000011110000000-1-100
χ2722222-12222-1-1-12-2-2-2-1-2-2-2-1-1-1112-2-21111-1-122-2-2111111111-1-122-1-1-1-1-1-1000022000-22-200000-1-1110000000-1100
χ2822222-12222-1-1-12-2-2-2-1-2-2-2-1-1-1112-2-21111-1-122-2-2111111111-1-122-1-1-1-1-1-10000-2-20002-220000011-1-100000001-100
χ292222-1222-1-1222-1222-12-1-1-1-1-122-1-1-1-1-1-1-122-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000020002-1-1-1-10000-1-1-1-10000000
χ302222-1222-1-1222-1222-12-1-1-1-1-122-1-1-1-1-1-1-122-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2000-21111000011110000000
χ312222-1222-1-1222-122-2-1-211-1-1-1-2-2-111111122-1-2-1-122-2-1-1-1-111-2-211-1-1111122220000-2000-2-1-1110000-1-1110000000
χ322222-1222-1-1222-122-2-1-211-1-1-1-2-2-111111122-1-2-1-122-2-1-1-1-111-2-211-1-11111-2-2-2-200002000211-1-1000011-1-10000000
χ332222-1222-1-1222-1-2-22-12-1-1-1-1-122-1-1-1-1-1-1-122-1-211-2-221111-1-1-2-211-1-1111122-2-200002000-2-1-1-1-1000011110000000
χ342222-1222-1-1222-1-2-22-12-1-1-1-1-122-1-1-1-1-1-1-122-1-211-2-221111-1-1-2-211-1-11111-2-2220000-2000211110000-1-1-1-10000000
χ352222-1222-1-1222-1-2-2-2-1-211-1-1-1-2-2-111111122-1211-2-2-211111122-1-1-1-1-1-1-1-122-2-20000-20002-1-111000011-1-10000000
χ362222-1222-1-1222-1-2-2-2-1-211-1-1-1-2-2-111111122-1211-2-2-211111122-1-1-1-1-1-1-1-1-2-22200002000-211-1-10000-1-1110000000
χ372-22-222-22-2-2-2-2222-202000-2-2200-20000002-2202-22-2022-2-20000002-200002-22-20000000002-20000002-2000000000
χ382-22-222-22-2-2-2-2222-202000-2-2200-20000002-2202-22-2022-2-20000002-20000-22-22000000000-22000000-22000000000
χ392-22-222-22-2-2-2-222-2202000-2-2200-20000002-220-22-220-2-2220000002-200002-2-220000000002-2000000-22000000000
χ402-22-222-22-2-2-2-222-2202000-2-2200-20000002-220-22-220-2-2220000002-20000-222-2000000000-220000002-2000000000
χ412-22-2-12-2211-2-22-12-20-10−i3i311-1001−i3i3−i3−i3i3i32-2-10-112-20-1-111−i3i300−i3i3-11−i3−i3i3i32-22-2000000000-11−i3i30000-11−i3i30000000
χ422-22-2-12-2211-2-22-12-20-10−i3i311-1001−i3i3−i3−i3i3i32-2-10-112-20-1-111−i3i300−i3i3-11−i3−i3i3i3-22-220000000001-1i3−i300001-1i3−i30000000
χ432-22-2-12-2211-2-22-12-20-10i3−i311-1001i3−i3i3i3−i3−i32-2-10-112-20-1-111i3−i300i3−i3-11i3i3−i3−i32-22-2000000000-11i3−i30000-11i3−i30000000
χ442-22-2-12-2211-2-22-12-20-10i3−i311-1001i3−i3i3i3−i3−i32-2-10-112-20-1-111i3−i300i3−i3-11i3i3−i3−i3-22-220000000001-1−i3i300001-1−i3i30000000
χ452-22-2-12-2211-2-22-1-220-10−i3i311-1001−i3i3−i3−i3i3i32-2-101-1-22011-1-1−i3i300i3−i3-11i3i3−i3−i32-2-22000000000-11−i3i300001-1i3−i30000000
χ462-22-2-12-2211-2-22-1-220-10−i3i311-1001−i3i3−i3−i3i3i32-2-101-1-22011-1-1−i3i300i3−i3-11i3i3−i3−i3-222-20000000001-1i3−i30000-11−i3i30000000
χ472-22-2-12-2211-2-22-1-220-10i3−i311-1001i3−i3i3i3−i3−i32-2-101-1-22011-1-1i3−i300−i3i3-11−i3−i3i3i32-2-22000000000-11i3−i300001-1−i3i30000000
χ482-22-2-12-2211-2-22-1-220-10i3−i311-1001i3−i3i3i3−i3−i32-2-101-1-22011-1-1i3−i300−i3i3-11−i3−i3i3i3-222-20000000001-1−i3i30000-11i3−i30000000
χ4944444-2-4-444-2-2-24004-2-444-2-2-222-4-4-4222222-400000-20000-2-2000022000000000000000000000000000000000000
χ5044444-2-4-444-2-2-2400-4-24-4-4-2-2-2-2-2-444-2-2-2-222-4000002000022000022000000000000000000000000000000000000
χ514444-24-4-4-2-2444-2004-2-4-2-2-2-2-2-4-42222222-4-420000040000-2-2000022000000000000000000000000000000000000
χ524444-24-4-4-2-2444-200-4-2422-2-2-2442-2-2-2-2-2-2-4-4200000-4000022000022000000000000000000000000000000000000
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
χ544444-2-244-2-2-2-2-2-244-41-42211122-222-1-1-1-1-2-2-2-4-2-2-2-221111-1-1222211-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4414-2-2111-2-2-2-2-21111-2-2-2-42222-2-1-1-1-111222211-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-41-42211122-222-1-1-1-1-2-2-2422222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-20041-4-2-211122222-1-1-1-122200000-23-33-3110000-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-20041-4-2-211122222-1-1-1-122200000-2-33-33110000-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-200-41422111-2-22-2-211112220000023-33-3-1-10000-1-1-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-200-41422111-2-22-2-21111222000002-33-33-1-10000-1-13-33-300000000000000000000000000000000
χ6144-4-444004-44-4-4-400040004-4-400000000000000000000000000000000000000004-4000000000000000000000000
χ6244-4-444004-44-4-4-400040004-4-40000000000000000000000000000000000000000-44000000000000000000000000
χ634-44-4444-4-4-4-4-4440004000-4-44004000000-44-40000000000000000-44000000000000000000000000000000000000
χ644-44-44-24-4-4-422-24000-200022-20040000002-2-4000000000000−2i32i3002-2−2i32i32i3−2i300000000000000000000000000000000
χ654-44-44-24-4-4-422-24000-200022-20040000002-2-40000000000002i3−2i3002-22i3−2i3−2i32i300000000000000000000000000000000
χ664-44-44-2-44-4-422-244-40-200022-200-4000000-22404-4-220-2-222000000-22000000000000000000000000000000000000
χ674-44-44-2-44-4-422-24-440-200022-200-4000000-2240-442-2022-2-2000000-22000000000000000000000000000000000000
χ684-44-4-244-422-4-44-2000-20−2i32i322-200-22i3−2i32i32i3−2i3−2i3-4420000000000−2i32i300002-2000000000000000000000000000000000000
χ694-44-4-244-422-4-44-2000-202i3−2i322-200-2−2i32i3−2i3−2i32i32i3-44200000000002i3−2i300002-2000000000000000000000000000000000000
χ704-44-4-2-24-42222-2-200010−2i32i3-1-1100-22i3−2i3−i3−i3i3i32-220000003-3-33i3−i32i3−2i300-11−i3i3i3−i300000000000000000000000000000000
χ714-44-4-2-24-42222-2-200010−2i32i3-1-1100-22i3−2i3−i3−i3i3i32-22000000-333-3i3−i3−2i32i300-11i3−i3−i3i300000000000000000000000000000000
χ724-44-4-2-24-42222-2-2000102i3−2i3-1-1100-2−2i32i3i3i3−i3−i32-220000003-3-33−i3i3−2i32i300-11i3−i3−i3i300000000000000000000000000000000
χ734-44-4-2-24-42222-2-2000102i3−2i3-1-1100-2−2i32i3i3i3−i3−i32-22000000-333-3−i3i32i3−2i300-11−i3i3i3−i300000000000000000000000000000000
χ744-44-4-2-2-442222-2-24-4010−2i32i3-1-11002−2i32i3i3i3−i3−i3-22-20-22-22011-1-1i3−i300−2i32i31-1i3i3−i3−i300000000000000000000000000000000
χ754-44-4-2-2-442222-2-24-40102i3−2i3-1-110022i3−2i3−i3−i3i3i3-22-20-22-22011-1-1−i3i3002i3−2i31-1−i3−i3i3i300000000000000000000000000000000
χ764-44-4-2-2-442222-2-2-44010−2i32i3-1-11002−2i32i3i3i3−i3−i3-22-202-22-20-1-111i3−i3002i3−2i31-1−i3−i3i3i300000000000000000000000000000000
χ774-44-4-2-2-442222-2-2-440102i3−2i3-1-110022i3−2i3−i3−i3i3i3-22-202-22-20-1-111−i3i300−2i32i31-1i3i3−i3−i300000000000000000000000000000000
χ784-4-444400-44-44-4-40004000-44-400000000000000000000000000000000000000−2i22i200000000000−2i22i20000000000000
χ794-4-444400-44-44-4-40004000-44-4000000000000000000000000000000000000002i2−2i2000000000002i2−2i20000000000000
χ804-4-444-200-442-22-4000-20002-2223−2300023−2323−2300000000000000000000000000000−2i22i200000000000i2−i2i6−i600000000000
χ814-4-444-200-442-22-4000-20002-2223−2300023−2323−23000000000000000000000000000002i2−2i200000000000−i2i2−i6i600000000000
χ824-4-444-200-442-22-4000-20002-22−2323000−2323−232300000000000000000000000000000−2i22i200000000000i2−i2−i6i600000000000
χ834-4-444-200-442-22-4000-20002-22−2323000−2323−2323000000000000000000000000000002i2−2i200000000000−i2i2i6−i600000000000
χ8488-8-88-4008-8-444-8000-4000-444000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4800-448-8-84000-4000-444000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-444400020002-2-2000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-44-444400020002-2-200000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-4-88-84000-40004-44000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-44-4440002000-22-243−43000−2323−2323000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004-44-4440002000-22-2−434300023−2323−23000000000000000000000000000000000000000000000000000000000

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