Finite Group Databasebeta

← Group #11889239

Character table — Group #11889239

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666223446661212121212121212121212121212466666666121212121212121212121212124488884444488121212122424242424242424224121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-111-1-1
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
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1-111-111-111-1
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-111-1-1-1-11111-1-1-1111-11-1
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1111-1-1-11-11
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-11-111111-1-1-1-11111-1-1-1-1-111
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ1111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ1211111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-11111
χ1311111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1111111-1-111-1-1-11-11-1-1-111-1-11111-1-1-111-11-11
χ1411111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-1111-1-111-1-111-1-111-1-1111-1-11-11-1
χ1511111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11111-1-1111111-111-1-111-1-111-1-111-1-11-1-1-111-1
χ1611111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1-1-1-11-11-1111-1-111-1-1-1-111-1111-1-11
χ17222222-2-22222220022-2222-2-2-222222222-2-2-20000000000000-2-2-2-2-200000000002200000000000000000-22-20000
χ18222222-2-22222220022-2222-2-2-222222222-2-2-20000000000000-2-2-2-2-20000000000-2-2000000000000000002-220000
χ19222222-2-2222222002-22222-222-2-2-2-2-2-2-2-2-2-2-200000000000002-2-22200000000002200000000000000000-2-220000
χ20222222-2-2222222002-22222-222-2-2-2-2-2-2-2-2-2-2-200000000000002-2-2220000000000-2-20000000000000000022-20000
χ2122222-1222-12-1-1222-122-1-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-12222000000220-1-1-1-1-1-1-1-100000000000
χ2222222-1222-12-1-1222-122-1-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2-2000000-2-201111111100000000000
χ2322222-1222-12-1-1222-1-2-2-1-1-1211-2-2111111-1-12-222-1-1-1-1-1-1-2-211-2-1-11111112222000000-2-2011-1-1-1-11100000000000
χ2422222-1222-12-1-1222-1-2-2-1-1-1211-2-2111111-1-12-222-1-1-1-1-1-1-2-211-2-1-1111111-2-2-2-2000000220-1-11111-1-100000000000
χ2522222-1222-12-1-12-2-2-122-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-2111111-2-2112-1-1-1-1111122-2-20000002-20-1-1-1-1111100000000000
χ2622222-1222-12-1-12-2-2-122-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-2111111-2-2112-1-1-1-11111-2-222000000-2201111-1-1-1-100000000000
χ2722222-1222-12-1-12-2-2-1-2-2-1-1-1211-2-2111111-1-122-2-211111122-1-1-2-1-111-1-1-1-122-2-2000000-22011-1-111-1-100000000000
χ2822222-1222-12-1-12-2-2-1-2-2-1-1-1211-2-2111111-1-122-2-211111122-1-1-2-1-111-1-1-1-1-2-2220000002-20-1-111-1-11100000000000
χ292222-1222-12-122-122-122-1-1-1-122-1-122-1-1-1-122-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1000022002200200000000-1-1-1-1000-1-100
χ302222-1222-12-122-122-122-1-1-1-122-1-122-1-1-1-122-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-10000-2-200-2-200-20000000011110001100
χ312222-1222-12-122-122-1-2-2-1-1-1-1-2-211-2-2111122-1-2-1-122-1-1-1-111-2-21-1-1111111000022002-200-200000000-1-111000-1100
χ322222-1222-12-122-122-1-2-2-1-1-1-1-2-211-2-2111122-1-2-1-122-1-1-1-111-2-21-1-11111110000-2-200-220020000000011-1-10001-100
χ332222-1222-12-122-1-2-2-122-1-1-1-122-1-122-1-1-1-122-1-211-2-2111111-2-2-1-1-1-1-1111100002200-2-200200000000-1-1-1-10001100
χ342222-1222-12-122-1-2-2-122-1-1-1-122-1-122-1-1-1-122-1-211-2-2111111-2-2-1-1-1-1-111110000-2-2002200-2000000001111000-1-100
χ352222-1222-12-122-1-2-2-1-2-2-1-1-1-1-2-211-2-2111122-1211-2-21111-1-1221-1-111-1-1-1-100002200-2200-200000000-1-1110001-100
χ362222-1222-12-122-1-2-2-1-2-2-1-1-1-1-2-211-2-2111122-1211-2-21111-1-1221-1-111-1-1-1-10000-2-2002-20020000000011-1-1000-1100
χ372-2-22222-22-2-22-2-22-22002-2-2200000000002-2-202-22-222-2-2000002-20000002i−2i2i−2i000000000002i−2i2i−2i0000000000000
χ382-2-22222-22-2-22-2-22-22002-2-2200000000002-2-202-22-222-2-2000002-2000000−2i2i−2i2i00000000000−2i2i−2i2i0000000000000
χ392-2-22222-22-2-22-2-2-222002-2-2200000000002-2-20-22-22-2-222000002-20000002i−2i−2i2i000000000002i−2i−2i2i0000000000000
χ402-2-22222-22-2-22-2-2-222002-2-2200000000002-2-20-22-22-2-222000002-2000000−2i2i2i−2i00000000000−2i2i2i−2i0000000000000
χ412-2-222-12-221-2-11-22-2-100-11123−3003−333−3−3-11-202-2-11-1-111003−30-113−333−3−32i−2i2i−2i000000000−i3i3−ii−ii−i3i300000000000
χ422-2-222-12-221-2-11-22-2-100-11123−3003−333−3−3-11-202-2-11-1-111003−30-113−333−3−3−2i2i−2i2i000000000i3−i3i−ii−ii3−i300000000000
χ432-2-222-12-221-2-11-22-2-100-1112−3300−33−3−333-11-202-2-11-1-11100−330-11−33−3−3332i−2i2i−2i000000000i3−i3−ii−iii3−i300000000000
χ442-2-222-12-221-2-11-22-2-100-1112−3300−33−3−333-11-202-2-11-1-11100−330-11−33−3−333−2i2i−2i2i000000000−i3i3i−ii−i−i3i300000000000
χ452-2-222-12-221-2-11-2-22-100-11123−3003−333−3−3-11-20-221-111-1-100−330-113−3−3−3332i−2i−2i2i000000000−i3i3−iii−ii3−i300000000000
χ462-2-222-12-221-2-11-2-22-100-11123−3003−333−3−3-11-20-221-111-1-100−330-113−3−3−333−2i2i2i−2i000000000i3−i3i−i−ii−i3i300000000000
χ472-2-222-12-221-2-11-2-22-100-1112−3300−33−3−333-11-20-221-111-1-1003−30-11−3333−3−32i−2i−2i2i000000000i3−i3−iii−i−i3i300000000000
χ482-2-222-12-221-2-11-2-22-100-1112−3300−33−3−333-11-20-221-111-1-1003−30-11−3333−3−3−2i2i2i−2i000000000−i3i3i−i−iii3−i300000000000
χ4944444-2-4-44-24-2-2400-24-4-2-2-2-42244-2-2-2-2-2-222-40000000000000-42222000000000000000000000000000000000000
χ5044444-2-4-44-24-2-2400-2-44-2-2-2-4-2-2-4-422222222-40000000000000422-2-2000000000000000000000000000000000000
χ514444-24-4-4-24-244-200-24-4-2-2-22-4-4-2-244-2-2-2-2-4-42000000000000022222000000000000000000000000000000000000
χ524444-24-4-4-24-244-200-2-44-2-2-224422-4-42222-4-420000000000000-222-2-2000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244144111-2-2-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2441-4-4111-2222222-1-1-1-1-2-2-2-4-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4144111-2-2-2-2-2-2-21111-2-2-2-42222-1-1-1-12222-21111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41-4-4111-2222222-1-1-1-1-2-2-242222-1-1-1-1-2-2-2-2211-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-20014-4111222-2-2-2-21111222000003-33-300002-1-1-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-20014-4111222-2-2-2-2111122200000-33-3300002-1-1-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2001-441112-2-22222-1-1-1-1222000003-33-30000-2-1-111-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2001-441112-2-22222-1-1-1-122200000-33-330000-2-1-1113-33-300000000000000000000000000000000
χ6144-4-44400-4-44-44-400400-4-440000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ6244-4-44400-4-44-44-400400-4-4400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ6344-4-4-24002-4-2-44200-20022-2000−2i32i300−2i32i3−2i32i300000000000000000000000000000−2i22i2000000000000000i2−i26−60000000
χ6444-4-4-24002-4-2-44200-20022-2000−2i32i300−2i32i3−2i32i3000000000000000000000000000002i2−2i2000000000000000−i2i2−660000000
χ6544-4-4-24002-4-2-44200-20022-20002i3−2i3002i3−2i32i3−2i300000000000000000000000000000−2i22i2000000000000000i2−i2−660000000
χ6644-4-4-24002-4-2-44200-20022-20002i3−2i3002i3−2i32i3−2i3000000000000000000000000000002i2−2i2000000000000000−i2i26−60000000
χ674-44-44400-44-4-4-4400400-44-40000000000000000000000000000000000000000004i−4i000000000000000000000000
χ684-44-44400-44-4-4-4400400-44-4000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ694-4-4444-444-4-44-4-4004004-4-4-40000000000-44400000000000000-4400000000000000000000000000000000000000
χ704-4-444-2-4442-4-22-400-200-222-423−2300−2323−23−2323232-24000000000000002-223−23000000000000000000000000000000000000
χ714-4-444-2-4442-4-22-400-200-222-4−23230023−232323−23−232-24000000000000002-2−2323000000000000000000000000000000000000
χ724-4-44-244-4-2-424-424-4-200-222-200000000004-420-224-4-2-22200000-2200000000000000000000000000000000000000
χ734-4-44-244-4-2-424-42-44-200-222-200000000004-4202-2-4422-2-200000-2200000000000000000000000000000000000000
χ744-4-44-24-44-2-424-4200-200-22220000000000-44-200000000023−230002-20023−23−232300000000000000000000000000000000
χ754-4-44-24-44-2-424-4200-200-22220000000000-44-2000000000−23230002-200−232323−2300000000000000000000000000000000
χ764-4-44-2-24-4-222-2224-41001-1-1-223−230023−23−3−333-2220-22-2211-1-10023−2301-1−33−3−33300000000000000000000000000000000
χ774-4-44-2-24-4-222-2224-41001-1-1-2−232300−232333−3−3-2220-22-2211-1-100−232301-13−333−3−300000000000000000000000000000000
χ784-4-44-2-24-4-222-222-441001-1-1-223−230023−23−3−333-22202-22-2-1-11100−232301-1−3333−3−300000000000000000000000000000000
χ794-4-44-2-24-4-222-222-441001-1-1-2−232300−232333−3−3-22202-22-2-1-1110023−2301-13−3−3−33300000000000000000000000000000000
χ804-4-44-2-2-44-222-222001001-1-1223−2300−232333−3−32-2-2000003-3-3323−23000-11−33−333−300000000000000000000000000000000
χ814-4-44-2-2-44-222-222001001-1-1223−2300−232333−3−32-2-200000-333-3−2323000-11−333−3−3300000000000000000000000000000000
χ824-4-44-2-2-44-222-222001001-1-12−23230023−23−3−3332-2-2000003-3-33−2323000-113−33−3−3300000000000000000000000000000000
χ834-4-44-2-2-44-222-222001001-1-12−23230023−23−3−3332-2-200000-333-323−23000-113−3−333−300000000000000000000000000000000
χ8488-8-88-400-8484-4-800-40044-400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-40044-44-4400200-2-22000−4i34i3002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-44-4400200-2-220004i3−4i300−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ878-88-88-400-8-4-844800-4004-4400000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4800484-8-8-400-4004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4004-4444-400200-22-200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4004-4444-400200-22-20000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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