Finite Group Databasebeta

← Group #11884400

Character table — Group #11884400

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666344666121212122668121212121212242424242424242422244466888812121212666121244244666612121224242424212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-11111-1-1-1-11111111-1-11-1-11111-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-11-11-1-1-1-11111-1-111111-1-1-111-1-1-1-1111-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11-111-1-1-1-1-11111111-1-1
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111111-11-1-111111-1-1-1-11-11-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-111-1-111-1-1-111-1-1-1-1-111-11-111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-111-11-111-1-11-1-1-1-1-1-111-11-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-111-1-111-1-111111-1-1-1-1-1-1111-1-1-111-1-111-1-11-11
χ11111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1111-1-1-1-111-1-1-1111-1-111-1-1-111-11
χ12111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111-11-1-111-11111111-1-11-1
χ13111111111111111-1-11111111-1-1-11-1-1-1-1111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111-1
χ14111111111111111-1-11111111-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-222000022-2-200000-2-20000000-200000020000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-2-22220000-2-2-2-2000002200000002000000-20000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-222-2-2-20000222200000220000000-2000000-20000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-222-2-20000-2-22200000-2-20000000200000020000
χ2122222-122-1-12-122-122-1-1-1-12-122-1-12-1-122-1-122-1-1-1-1-1-1222020-1-1220000-1-12-1-1-1-100200-1-1-1-1000-1-10000000
χ2222222-122-1-12-122-122-1-1-1-12-122-1-12-1-122-1-122-1-1-1-1-1-1-2-2-20-2011-2-20000112-1-1-1-100-2001111000110000000
χ2322222-122-1-12-122-122-1-1-1-12-12-211-2-1-122-1-1-2-211111122-20-201122000011-211-1-100-200-1-111000-1-10000000
χ2422222-122-1-12-122-122-1-1-1-12-12-211-2-1-122-1-1-2-2111111-2-22020-1-1-2-20000-1-1-211-1-10020011-1-1000110000000
χ2522222-122-1-12-122-1-2-2-1-1-1-12-122-1-1-211-2-2-1-1-2-2111111222020-1-1-2-20000-1-12-1-11100-200-1-111000110000000
χ2622222-122-1-12-122-1-2-2-1-1-1-12-122-1-1-211-2-2-1-1-2-2111111-2-2-20-2011220000112-1-1110020011-1-1000-1-10000000
χ2722222-122-1-12-122-1-2-2-1-1-1-12-12-211211-2-2-1-122-1-1-1-1-1-122-20-2011-2-2000011-2111100200-1-1-1-1000110000000
χ2822222-122-1-12-122-1-2-2-1-1-1-12-12-211211-2-2-1-122-1-1-1-1-1-1-2-22020-1-1220000-1-1-2111100-2001111000-1-10000000
χ292222-122222-12-1-1-122-1-1-12-12-1222222-1-1-1-1-1-122-1-1-1-1000202000022-1-100-1-1-1-1-1000220000-1-1-100-1-10-1000
χ302222-122222-12-1-1-122-1-1-12-12-1222222-1-1-1-1-1-122-1-1-1-1000-20-20000-2-21100-1-1-1-1-1000-2-20000111001101000
χ312222-122222-12-1-1-122-1-1-12-12-1-2-2-2-222-1-1-1-111-2-211110002020000-2-2-1-100111-1-1000-220000-1-1-1001101000
χ322222-122222-12-1-1-122-1-1-12-12-1-2-2-2-222-1-1-1-111-2-21111000-20-20000221100111-1-10002-2000011100-1-10-1000
χ332222-122222-12-1-1-1-2-2-1-1-12-12-1222-2-2-211-1-111-2-211110002020000-2-2-1-100-1-1-1110002-20000-11100110-1000
χ342222-122222-12-1-1-1-2-2-1-1-12-12-1222-2-2-211-1-111-2-21111000-20-20000221100-1-1-111000-2200001-1-100-1-101000
χ352222-122222-12-1-1-1-2-2-1-1-12-12-1-2-2-22-2-211-1-1-1-122-1-1-1-1000202000022-1-10011111000-2-20000-11100-1-101000
χ362222-122222-12-1-1-1-2-2-1-1-12-12-1-2-2-22-2-211-1-1-1-122-1-1-1-1000-20-20000-2-21100111110002200001-1-100110-1000
χ372-22-2222-2-2-2-222-222-2-2-22-2-22200002-22-2-22000000002-20000002-20000000002-2000002-2000002-20000000
χ382-22-2222-2-2-2-222-222-2-2-22-2-22200002-22-2-2200000000-22000000-220000000002-200000-2200000-220000000
χ392-22-2222-2-2-2-222-22-22-2-22-2-2220000-22-22-22000000002-2000000-22000000000-22000002-200000-220000000
χ402-22-2222-2-2-2-222-22-22-2-22-2-2220000-22-22-2200000000-220000002-2000000000-2200000-22000002-20000000
χ412-22-22-12-211-2-12-2-12-211-11-2-120−i3i30-112-21-100−i3i3−i3−i3i3i32-20000−i3i32-20000−i3i30−i3i3-1100000-11−i3i3000-110000000
χ422-22-22-12-211-2-12-2-12-211-11-2-120−i3i30-112-21-100−i3i3−i3−i3i3i3-220000i3−i3-220000i3−i30−i3i3-11000001-1i3−i30001-10000000
χ432-22-22-12-211-2-12-2-12-211-11-2-120i3−i30-112-21-100i3−i3i3i3−i3−i32-20000i3−i32-20000i3−i30i3−i3-1100000-11i3−i3000-110000000
χ442-22-22-12-211-2-12-2-12-211-11-2-120i3−i30-112-21-100i3−i3i3i3−i3−i3-220000−i3i3-220000−i3i30i3−i3-11000001-1−i3i30001-10000000
χ452-22-22-12-211-2-12-2-1-2211-11-2-120−i3i301-1-221-100i3−i3i3i3−i3−i32-20000−i3i3-220000−i3i30−i3i31-100000-11i3−i30001-10000000
χ462-22-22-12-211-2-12-2-1-2211-11-2-120−i3i301-1-221-100i3−i3i3i3−i3−i3-220000i3−i32-20000i3−i30−i3i31-1000001-1−i3i3000-110000000
χ472-22-22-12-211-2-12-2-1-2211-11-2-120i3−i301-1-221-100−i3i3−i3−i3i3i32-20000i3−i3-220000i3−i30i3−i31-100000-11−i3i30001-10000000
χ482-22-22-12-211-2-12-2-1-2211-11-2-120i3−i301-1-221-100−i3i3−i3−i3i3i3-220000−i3i32-20000−i3i30i3−i31-1000001-1i3−i3000-110000000
χ4944444-2-4-4-2-24-244-200-2-2-22-42-40000000022000000000040-40-2-20000002200000000000000000000000000
χ5044444-2-4-4-2-24-244-200-2-2-22-42-400000000220000000000-404022000000-2-200000000000000000000000000
χ514444-24-4-444-24-2-2-200-2-2-2-42-4200000000220000000000040-4000000-2-20000000000000000200000000000
χ524444-24-4-444-24-2-2-200-2-2-2-42-42000000002200000000000-404000000220000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-24-2-24-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-422-4-2-2-2-2112222-1-1-1-100000000000000002-1-111000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-2-2-42222112222-1-1-1-10000000000000000-211-1-1000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4224222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-444004-44-4-4-44004-4-400000000000000000000000000000000000000000004i−4i0000000000000000000
χ5844-4-444004-44-4-4-44004-4-40000000000000000000000000000000000000000000−4i4i0000000000000000000
χ594-44-444-44-4-4-444-4400-4-4444-4-4000000004-400000000000000000000000000000000000000000000000000
χ604-44-44-2-4422-4-24-4-20022-2-242-400000000-2200000000000000−2i32i30000002i3−2i300000000000000000000000000
χ614-44-44-2-4422-4-24-4-20022-2-242-400000000-22000000000000002i3−2i3000000−2i32i300000000000000000000000000
χ624-44-4-244-4-4-424-22-24-422-2-424-200004-4-222-2000000000000000000000000000-22000000000000000000000
χ634-44-4-244-4-4-424-22-2-4422-2-424-20000-442-22-20000000000000000000000000002-2000000000000000000000
χ644-44-4-24-44-4-424-22-20022-24-2-4200000000-2200000000000000000000000000000000000000023−23000000000
χ654-44-4-24-44-4-424-22-20022-24-2-4200000000-22000000000000000000000000000000000000000−2323000000000
χ664-44-4-2-24-4222-2-2214-4-1-1122-2-20−2i32i30-22-22-1100−2i32i3i3i3−i3−i300000000000000000i3−i31-1000000000000000000000
χ674-44-4-2-24-4222-2-2214-4-1-1122-2-202i3−2i30-22-22-11002i3−2i3−i3−i3i3i300000000000000000−i3i31-1000000000000000000000
χ684-44-4-2-24-4222-2-221-44-1-1122-2-20−2i32i302-22-2-11002i3−2i3−i3−i3i3i300000000000000000i3−i3-11000000000000000000000
χ694-44-4-2-24-4222-2-221-44-1-1122-2-202i3−2i302-22-2-1100−2i32i3i3i3−i3−i300000000000000000−i3i3-11000000000000000000000
χ704-4-444400-44-4-4-44400-44-40000000000000000000000000000000022−220000000000000000000000022−2200000
χ714-4-444400-44-4-4-44400-44-400000000000000000000000000000000−222200000000000000000000000−222200000
χ724-4-44-2400-442-42-2-2002-22000000000000006−6006−66−6000000000022−2223−23000000000000000000000−2200000
χ734-4-44-2400-442-42-2-2002-22000000000000006−6006−66−60000000000−2222−23230000000000000000000002−200000
χ744-4-44-2400-442-42-2-2002-2200000000000000−6600−66−66000000000022−22−2323000000000000000000000−2200000
χ754-4-44-2400-442-42-2-2002-2200000000000000−6600−66−660000000000−222223−230000000000000000000002−200000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-4484-8-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48008-8-4-844-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44442002-2-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44442002-2-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ818-88-8-4-4-88444-4-44200-2-22-4-444000000002-200000000000000000000000000000000000000000000000000
χ828-8-888-4004-4-84-88-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-4444-4200-22-20000000000000026−2600−66−66000000000000000000000000000000000000000000
χ848-8-88-4-4004-4444-4200-22-200000000000000−2626006−66−6000000000000000000000000000000000000000000

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