Finite Group Databasebeta

← Group #11796858

Character table — Group #11796858

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order12233446688121244366681212121212242424242424224668812122466612121224242424246812161616162424242466612121224446612124848484816161616121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-111-1111-1-1-1-1111-11-11-1-1-11111-1-1-1-11-1-1-1-1-1-1111-111-1-1-11111-1-111-1ii−i−i11-1-1111-1-1-1-11i−i-1-111ii−i−iii−i−ii−ii−i
χ1011-111-1111-1-1-1-1111-11-11-1-1-11111-1-1-1-11-1-1-1-1-1-1111-111-1-1-11111-1-111-1−i−iii11-1-1111-1-1-1-11−ii-1-111−i−iii−i−iii−ii−ii
χ1111-111-1111-1-1-1-1111-11-11-1-1-11111-1-1-1-11-1-1-1-1-1-111-11-1-1-1111111-1-111-1ii−i−i11-1-1-1-1-11111-1−ii11-1-1ii−i−iii−i−i−ii−ii
χ1211-111-1111-1-1-1-1111-11-11-1-1-11111-1-1-1-11-1-1-1-1-1-111-11-1-1-1111111-1-111-1−i−iii11-1-1-1-1-11111-1i−i11-1-1−i−iii−i−iiii−ii−i
χ1311-111-1111-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-1-1111111-1-11-111-1-1-11111-1-1-1-11ii−i−i-1-111111-1-1-11-1i−i11-1-1ii−i−i−i−iiii−i−ii
χ1411-111-1111-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-1-1111111-1-11-111-1-1-11111-1-1-1-11−i−iii-1-111111-1-1-11-1−ii11-1-1−i−iiiii−i−i−iii−i
χ1511-111-1111-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-1-1111111-1-1-11-1-1-1111111-1-1-1-11ii−i−i-1-111-1-1-1111-11−ii-1-111ii−i−i−i−iii−iii−i
χ1611-111-1111-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-1-1111111-1-1-11-1-1-1111111-1-1-1-11−i−iii-1-111-1-1-1111-11i−i-1-111−i−iiiii−i−ii−i−ii
χ17222222222-2-222222222-222222-2-2-2-2-2-222222-2-22200002002-2-2-2-2-22-220000-2-2-2-200000000000000000000000000
χ18222222222-2-222-2-22222-222222-2-2-2-2-2-2-2-2-2-2-222-2-200002002-2-2-2-2-2-22-20000222200000000000000000000000000
χ1922222-2-22200-2-22222220-2-2-2-2-2000000-2-22-2-200220000200-200000-2022−22−20000000000000000002−22−22−22−20000
χ2022222-2-22200-2-22222220-2-2-2-2-2000000-2-22-2-200220000200-200000-202−22−22000000000000000000−22−22−22−220000
χ2122222-2-22200-2-2-2-222220-2-2-2-2-200000022-22200-2-20000200-20000020-22−22−20000000000000000002−22−2−22−220000
χ2222222-2-22200-2-2-2-222220-2-2-2-2-200000022-22200-2-20000200-20000020-2−22−22000000000000000000−22−222−22−20000
χ232222-1222-122-1-122-1-1-1222-1-12-1-1-1-1-122222-1-122-1-122-1-1-1-1-1-12-1-1-1-1-12-10000-1-1-1-12-1-12-1-12200-1-1-1-1000000000000
χ242222-1222-122-1-122-1-1-1222-1-12-1-1-1-1-122222-1-122-1-1-2-211-111-12-1-1-1-1-12-10000-1-1-1-1-211-211-2-2001111000000000000
χ252222-1222-122-1-1-2-2-1-1-1222-1-12-1-1-1-1-122-2-2-211-2-21122-1-1-1-1-1-12-1-1-1-11-21000011112-1-12-1-1-2-2001111000000000000
χ262222-1222-122-1-1-2-2-1-1-1222-1-12-1-1-1-1-122-2-2-211-2-211-2-211-111-12-1-1-1-11-2100001111-211-2112200-1-1-1-1000000000000
χ272222-1222-1-2-2-1-122-1-1-12-22-1-12-11111-2-2222-1-1-2-2-1-100−i3i3-1−i3i3-1-21111-1-2-1000011110−i3i30−i3i30000−i3i3−i3i3000000000000
χ282222-1222-1-2-2-1-122-1-1-12-22-1-12-11111-2-2222-1-1-2-2-1-100i3−i3-1i3−i3-1-21111-1-2-1000011110i3−i30i3−i30000i3−i3i3−i3000000000000
χ292222-1222-1-2-2-1-1-2-2-1-1-12-22-1-12-11111-2-2-2-2-211221100−i3i3-1−i3i3-1-211111210000-1-1-1-10−i3i30−i3i30000i3−i3i3−i3000000000000
χ302222-1222-1-2-2-1-1-2-2-1-1-12-22-1-12-11111-2-2-2-2-211221100i3−i3-1i3−i3-1-211111210000-1-1-1-10i3−i30i3−i30000−i3i3−i3i3000000000000
χ31222-1222-12222200-12-1-12-1-1-1-122222-1-10000000002222-122-1-1-1-1-1-100022220000-1-1-1-1-1-100220000-1-1-1-10000-1-100
χ32222-1222-12222200-12-1-12-1-1-1-122222-1-10000000002222-122-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-100-2-20000111100001100
χ33222-1222-12222200-12-1-12-1-1-1-122222-1-1000000000-2-2-2-2-1-2-2-1-1-1-1-1-10002222000011111100-2-20000-1-1-1-100001100
χ34222-1222-12222200-12-1-12-1-1-1-122222-1-1000000000-2-2-2-2-1-2-2-1-1-1-1-1-1000-2-2-2-200001111110022000011110000-1-100
χ3522-2222-2220022222-22-20222-2-2000000-22-22200220000-200-200000-20-2−i2i2i2−i2000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ3622-2222-2220022222-22-20222-2-2000000-22-22200220000-200-200000-20-2i2−i2−i2i2000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ3722-2222-2220022-2-22-22-20222-2-20000002-22-2-200-2-20000-200-200000202−i2i2i2−i2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ3822-2222-2220022-2-22-22-20222-2-20000002-22-2-200-2-20000-200-200000202i2−i2−i2i2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ3922-222-222222-2-2222-22-2-2-2-2-222-2-222222-2-2-2-222220000-2002-2-2-2222-2-20000-2-22200000000000000000000000000
χ4022-222-222222-2-2-2-22-22-2-2-2-2-222-2-22222-22222-2-2-2-20000-2002-2-2-222-222000022-2-200000000000000000000000000
χ4122-22-1-222-1221122-11-1-2-2-2112-111-1-1222-2-21122-1-100−i3i31i3−i3-1-211-1-1-1-21000011-1-10−i3i30i3−i30000i3−i3−i3i3000000000000
χ4222-22-1-222-1221122-11-1-2-2-2112-111-1-1222-2-21122-1-100i3−i31−i3i3-1-211-1-1-1-21000011-1-10i3−i30−i3i30000−i3i3i3−i3000000000000
χ4322-22-1-222-12211-2-2-11-1-2-2-2112-111-1-122-222-1-1-2-21100−i3i31i3−i3-1-211-1-112-10000-1-1110−i3i30i3−i30000−i3i3i3−i3000000000000
χ4422-22-1-222-12211-2-2-11-1-2-2-2112-111-1-122-222-1-1-2-21100i3−i31−i3i3-1-211-1-112-10000-1-1110i3−i30−i3i30000i3−i3−i3i3000000000000
χ4522-22-1-222-1-2-21122-11-1-22-2112-1-1-111-2-22-2-211-2-2-1-12-2-1-1111-12-1-111-1210000-1-1112-1-1-211-220011-1-1000000000000
χ4622-22-1-222-1-2-21122-11-1-22-2112-1-1-111-2-22-2-211-2-2-1-1-22111-1-1-12-1-111-1210000-1-111-2112-1-12-200-1-111000000000000
χ4722-22-1-222-1-2-211-2-2-11-1-22-2112-1-1-111-2-2-222-1-122112-2-1-1111-12-1-1111-2-1000011-1-12-1-1-2112-200-1-111000000000000
χ4822-22-1-222-1-2-211-2-2-11-1-22-2112-1-1-111-2-2-222-1-12211-22111-1-1-12-1-1111-2-1000011-1-1-2112-1-1-220011-1-1000000000000
χ4922-2-12-22-12-2-2-2-200-1-2-112111-1222-2-2110000000002-2221-2-2-1-1-1-1110002i2i−2i−2i0000-1-1-1111002i−2i0000−i−iii0000−ii00
χ5022-2-12-22-12-2-2-2-200-1-2-112111-1222-2-2110000000002-2221-2-2-1-1-1-111000−2i−2i2i2i0000-1-1-111100−2i2i0000ii−i−i0000i−i00
χ5122-2-12-22-12-2-2-2-200-1-2-112111-1222-2-211000000000-22-2-2122-1-1-1-1110002i2i−2i−2i0000111-1-1-100−2i2i0000−i−iii0000i−i00
χ5222-2-12-22-12-2-2-2-200-1-2-112111-1222-2-211000000000-22-2-2122-1-1-1-111000−2i−2i2i2i0000111-1-1-1002i−2i0000ii−i−i0000−ii00
χ534444-2-4-44-2002244-2-2-240-422-42000000-4-442200-2-20000-20020000020-20000000000000000000000000000000000
χ544444-2-4-44-20022-4-4-2-2-240-422-4200000044-4-2-200220000-200200000-2020000000000000000000000000000000000
χ55444-2444-24-4-44400-24-2-2-4-2-2-2-24-4-4-4-4220000000000000-200-2222220000000000000000000000000000000000000
χ56444-24-4-4-2400-4-400-24-2-202222-40000000000000000000-20020000000022−2222−22000000000000000000−22−2200000000
χ57444-24-4-4-2400-4-400-24-2-202222-40000000000000000000-200200000000−2222−22220000000000000000002−22−200000000
χ58444-2-244-2-244-2-2001-21-24-211-2-2-2-2-2-2-2-200000000044-2-21-2-21-2111100000000000-211-21100000000000000000000
χ59444-2-244-2-244-2-2001-21-24-211-2-2-2-2-2-2-2-2000000000-4-4221221-21111000000000002-1-12-1-100000000000000000000
χ60444-2-244-2-2-4-4-2-2001-21-2-4-211-2-222222200000000000−2i32i31−2i32i312-1-1-1-1000000000000i3−i30i3−i300000000000000000000
χ61444-2-244-2-2-4-4-2-2001-21-2-4-211-2-2222222000000000002i3−2i312i3−2i312-1-1-1-1000000000000−i3i30−i3i300000000000000000000
χ6244-44-24-44-200-2-244-22-2-404-2-2-42000000-44-4-2-200-2-200002002000002020000000000000000000000000000000000
χ6344-44-24-44-200-2-2-4-4-22-2-404-2-2-420000004-442200220000200200000-20-20000000000000000000000000000000000
χ6444-4-244-4-24004400-2-4-220-2-2-22-40000000000000000000200200000000−2i22i22i2−2i2000000000000000000i2−i2−i2i200000000
χ6544-4-244-4-24004400-2-4-220-2-2-22-400000000000000000002002000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i200000000
χ6644-4-24-44-2444-4-400-2-4-22-4222-24-4-444-2-20000000000000200-2222-2-20000000000000000000000000000000000000
χ6744-4-2-2-44-2-24422001212-42-1-1-2-222-2-2-2-200000000000−2i32i3-12i3−2i312-1-111000000000000i3−i30−i3i300000000000000000000
χ6844-4-2-2-44-2-24422001212-42-1-1-2-222-2-2-2-2000000000002i3−2i3-1−2i32i312-1-111000000000000−i3i30i3−i300000000000000000000
χ6944-4-2-2-44-2-2-4-42200121242-1-1-2-2-2-222220000000004-4-2-2-1221-211-1-100000000000-2112-1-100000000000000000000
χ7044-4-2-2-44-2-2-4-42200121242-1-1-2-2-2-22222000000000-4422-1-2-21-211-1-1000000000002-1-1-21100000000000000000000
χ714-404400-4-4−2i22i2004i−4i40-4000000000−2i22i2−2i22i20000022−224i−4i00000000000−2i22i200000000022−2200000000000000000000000000
χ724-404400-4-4−2i22i200−4i4i40-4000000000−2i22i2−2i22i200000−2222−4i4i00000000000−2i22i2000000000−222200000000000000000000000000
χ734-404400-4-42i2−2i2004i−4i40-40000000002i2−2i22i2−2i200000−22224i−4i000000000002i2−2i2000000000−222200000000000000000000000000
χ744-404400-4-42i2−2i200−4i4i40-40000000002i2−2i22i2−2i20000022−22−4i4i000000000002i2−2i200000000022−2200000000000000000000000000
χ754-404-200-42−2i22i223−234i−4i-20200023−2300i6−i6i2−i2−2i22i2000−2i32i322−22−2i2i000000000i6−i6i2−i200000006−6−2200000000000000000000000000
χ764-404-200-42−2i22i223−23−4i4i-20200023−2300i6−i6i2−i2−2i22i20002i3−2i3−22222i−2i000000000i6−i6i2−i20000000−662−200000000000000000000000000
χ774-404-200-42−2i22i2−23234i−4i-202000−232300−i6i6i2−i2−2i22i20002i3−2i322−22−2i2i000000000−i6i6i2−i20000000−66−2200000000000000000000000000
χ784-404-200-42−2i22i2−2323−4i4i-202000−232300−i6i6i2−i2−2i22i2000−2i32i3−22222i−2i000000000−i6i6i2−i200000006−62−200000000000000000000000000
χ794-404-200-422i2−2i223−234i−4i-20200023−2300−i6i6−i2i22i2−2i2000−2i32i3−2222−2i2i000000000−i6i6−i2i20000000−662−200000000000000000000000000
χ804-404-200-422i2−2i223−23−4i4i-20200023−2300−i6i6−i2i22i2−2i20002i3−2i322−222i−2i000000000−i6i6−i2i200000006−6−2200000000000000000000000000
χ814-404-200-422i2−2i2−23234i−4i-202000−232300i6−i6−i2i22i2−2i20002i3−2i3−2222−2i2i000000000i6−i6−i2i200000006−62−200000000000000000000000000
χ824-404-200-422i2−2i2−2323−4i4i-202000−232300i6−i6−i2i22i2−2i2000−2i32i322−222i−2i000000000i6−i6−i2i20000000−66−2200000000000000000000000000
χ83888-4-4-8-8-4-40044002-42-404-2-2440000000000000000000200-2000000000000000000000000000000000000000000
χ8488-8-4-48-8-4-400-4-40024240-422440000000000000000000-200-2000000000000000000000000000000000000000000
χ858-80-48004-8−4i24i20000-404000000000−4i24i22i2−2i2000000000000000000002i2−2i20000000000000000000000000000000000000
χ868-80-48004-84i2−4i20000-4040000000004i2−4i2−2i22i200000000000000000000−2i22i20000000000000000000000000000000000000
χ878-80-4-40044−4i24i243−430020-2000−2323002i6−2i62i2−2i22i2−2i2000000000000000000−i6i6−i2i20000000000000000000000000000000000000
χ888-80-4-40044−4i24i2−43430020-200023−2300−2i62i62i2−2i22i2−2i2000000000000000000i6−i6−i2i20000000000000000000000000000000000000
χ898-80-4-400444i2−4i243−430020-2000−232300−2i62i6−2i22i2−2i22i2000000000000000000i6−i6i2−i20000000000000000000000000000000000000
χ908-80-4-400444i2−4i2−43430020-200023−23002i6−2i6−2i22i2−2i22i2000000000000000000−i6i6i2−i20000000000000000000000000000000000000

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