Finite Group Databasebeta

← Group #11788859

Character table — Group #11788859

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122222222336666663666666666666666666624666666666666121212121212121244444444444412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ91111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−iii−i−i−i−iii−i−iii-11-11-11
χ111111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iii−i−iiiii−i−iii−i−i-11-11-11
χ121111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ131111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−iiii−i−i−i−iiiii−i−i−i−iii1-11-1-11
χ141111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-111-1
χ151111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-111-1
χ161111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−i−i−iiiii−i−i−i−iiiii−i−i1-11-1-11
χ172222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ182222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ192222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-1-2-2-2-211-1-1-1-11111-2-21111110000222200-2-200000000-1-1-1-11111000000
χ202222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-1-2-2-2-211-1-1-1-11111-2-21111110000-2-2-2-20022000000001111-1-1-1-1000000
χ21222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ22222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ23222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-1-1-1-122-2-211-2-2-1-1-1-1111111-2-2111122220000-2-200-1-1-1-1111100000000000000
χ24222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-1-1-1-122-2-211-2-2-1-1-1-1111111-2-21111-2-2-2-2000022001111-1-1-1-100000000000000
χ252222-2-2-2-222-122-1-12-1-122-1-1-2-211-1-1-1-1-1-1-1-2-2112-222-1-11111-1-1-1-1-2-211111100002i2i−2i−2i002i−2i00000000−i−iii−i−iii000000
χ262222-2-2-2-222-122-1-12-1-122-1-1-2-211-1-1-1-1-1-1-1-2-2112-222-1-11111-1-1-1-1-2-21111110000−2i−2i2i2i00−2i2i00000000ii−i−iii−i−i000000
χ272222-2-2-2-222-122-1-12-1-122-1-1-2-211-1-1-1-1-1-1-1-2-211-22-2-2111111111122-1-1-1-1-1-100002i2i−2i−2i00−2i2i00000000−i−iiiii−i−i000000
χ282222-2-2-2-222-122-1-12-1-122-1-1-2-211-1-1-1-1-1-1-1-2-211-22-2-2111111111122-1-1-1-1-1-10000−2i−2i2i2i002i−2i00000000ii−i−i−i−iii000000
χ292222-2-2-2-22-12-1-122-12-1-1-12211-2-2-1-1-1-1-1-1-111-2-22-2-1-1221111-1-1-1-111-2-211112i2i−2i−2i00002i−2i00−i−iii−i−iii00000000000000
χ302222-2-2-2-22-12-1-122-12-1-1-12211-2-2-1-1-1-1-1-1-111-2-22-2-1-1221111-1-1-1-111-2-21111−2i−2i2i2i0000−2i2i00ii−i−iii−i−i00000000000000
χ312222-2-2-2-22-12-1-122-12-1-1-12211-2-2-1-1-1-1-1-1-111-2-2-2211-2-211111111-1-122-1-1-1-12i2i−2i−2i0000−2i2i00−i−iiiii−i−i00000000000000
χ322222-2-2-2-22-12-1-122-12-1-1-12211-2-2-1-1-1-1-1-1-111-2-2-2211-2-211111111-1-122-1-1-1-1−2i−2i2i2i00002i−2i00ii−i−i−i−iii00000000000000
χ33222-222-2-2-22222-2-2222-2-22-22-22222-2-2-2-222-2-2-200000022-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ34222-222-2-2-22222-2-2222-2-22-22-22222-2-2-2-222-2-2-200000022-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ35222-222-2-2-22-122112-1-1-2-2-112-2-1-1-1-11111-12-2110000−i3i3-1-111−i3−i3i3i300−i3i3−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ36222-222-2-2-22-122112-1-1-2-2-112-2-1-1-1-11111-12-2110000−i3i3-1-111−i3−i3i3i300−i3i3−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ37222-222-2-2-22-122112-1-1-2-2-112-2-1-1-1-11111-12-2110000i3−i3-1-111i3i3−i3−i300i3−i3i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ38222-222-2-2-22-122112-1-1-2-2-112-2-1-1-1-11111-12-2110000i3−i3-1-111i3i3−i3−i300i3−i3i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ39222-2-2-222-22222-2-2222-2-22-2-22-2-222-2-2-2-22-2222000000-2-22200000000000000002-2-220000000000002-2-220000000000
χ40222-2-2-222-22222-2-2222-2-22-2-22-2-222-2-2-2-22-2222000000-2-2220000000000000000-222-2000000000000-222-20000000000
χ41222-2-2-222-22-122112-1-1-2-2-11-2211-1-11111-1-22-1-10000−i3i311-1-1−i3−i3i3i300i3−i3i3i3−i3−i300002-2-22000000000000-111-1−i3i3i3−i3000000
χ42222-2-2-222-22-122112-1-1-2-2-11-2211-1-11111-1-22-1-10000−i3i311-1-1−i3−i3i3i300i3−i3i3i3−i3−i30000-222-20000000000001-1-11i3−i3−i3i3000000
χ43222-2-2-222-22-122112-1-1-2-2-11-2211-1-11111-1-22-1-10000i3−i311-1-1i3i3−i3−i300−i3i3−i3−i3i3i300002-2-22000000000000-111-1i3−i3−i3i3000000
χ44222-2-2-222-22-122112-1-1-2-2-11-2211-1-11111-1-22-1-10000i3−i311-1-1i3i3−i3−i300−i3i3−i3−i3i3i30000-222-20000000000001-1-11−i3i3i3−i3000000
χ4522-222-22-2-222-2-2222222-2-2-2222-2-2-222-2-22-2-22-20000002-22-20000000000002i−2i2i−2i000000002i−2i2i−2i000000000000000000
χ4622-222-22-2-222-2-2222222-2-2-2222-2-2-222-2-22-2-22-20000002-22-2000000000000−2i2i−2i2i00000000−2i2i−2i2i000000000000000000
χ4722-222-22-2-2-121122-12-1-11-2-2-1-12-211-1-111-1112-200−i3i300-11-11−i3i3−i3i3−i3i300−i3i3−i3i32i−2i2i−2i00000000−ii−ii3−33−300000000000000
χ4822-222-22-2-2-121122-12-1-11-2-2-1-12-211-1-111-1112-200−i3i300-11-11−i3i3−i3i3−i3i300−i3i3−i3i3−2i2i−2i2i00000000i−ii−i−33−3300000000000000
χ4922-222-22-2-2-121122-12-1-11-2-2-1-12-211-1-111-1112-200i3−i300-11-11i3−i3i3−i3i3−i300i3−i3i3−i32i−2i2i−2i00000000−ii−ii−33−3300000000000000
χ5022-222-22-2-2-121122-12-1-11-2-2-1-12-211-1-111-1112-200i3−i300-11-11i3−i3i3−i3i3−i300i3−i3i3−i3−2i2i−2i2i00000000i−ii−i3−33−300000000000000
χ5122-22-22-22-222-2-2222222-2-2-2-2-2-22-2-222-2-2222-22000000-22-220000000000002-2-22000000002-2-22000000000000000000
χ5222-22-22-22-222-2-2222222-2-2-2-2-2-22-2-222-2-2222-22000000-22-22000000000000-222-200000000-222-2000000000000000000
χ5322-22-22-22-2-121122-12-1-11-2-211-2211-1-111-1-1-1-2200−i3i3001-11-1−i3i3−i3i3i3−i300i3−i3i3−i32-2-2200000000-111-1−i3i3i3−i300000000000000
χ5422-22-22-22-2-121122-12-1-11-2-211-2211-1-111-1-1-1-2200−i3i3001-11-1−i3i3−i3i3i3−i300i3−i3i3−i3-222-2000000001-1-11i3−i3−i3i300000000000000
χ5522-22-22-22-2-121122-12-1-11-2-211-2211-1-111-1-1-1-2200i3−i3001-11-1i3−i3i3−i3−i3i300−i3i3−i3i32-2-2200000000-111-1i3−i3−i3i300000000000000
χ5622-22-22-22-2-121122-12-1-11-2-211-2211-1-111-1-1-1-2200i3−i3001-11-1i3−i3i3−i3−i3i300−i3i3−i3i3-222-2000000001-1-11−i3i3i3−i300000000000000
χ5722-2-22-2-22222-2-2-2-2222-22-222-22-2-2-2-2-2222-22-220000002-2-22000000000000000000000000000000000000000022-2-200
χ5822-2-22-2-22222-2-2-2-2222-22-222-22-2-2-2-2-2222-22-220000002-2-220000000000000000000000000000000000000000-2-22200
χ5922-2-2-222-2222-2-2-2-2222-22-22-22-22-2-2-2-22222-22-2000000-222-200000000000000000000000000000000000000002-2-2200
χ6022-2-2-222-2222-2-2-2-2222-22-22-22-22-2-2-2-22222-22-2000000-222-20000000000000000000000000000000000000000-222-200
χ61444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-2-244-2-2-2-211111111-2-2-2-211110000000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-2-2-4-422221111-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ634444-4-4-4-44-2-2-2-2-2-2-2-21-2-2-2-22222111111122224-4-2-2-2-2-1-1-1-111112222-1-1-1-10000000000000000000000000000000000
χ644444-4-4-4-44-2-2-2-2-2-2-2-21-2-2-2-2222211111112222-442222-1-1-1-1-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ65444-444-4-4-4-24-2-2-4-4-24-2224-4-2244-2-22222-2-22-4-4000000-2-2220000000000000000000000000000000000000000000000
χ66444-444-4-4-4-2-2-2-222-2-2122-22-22-2-211-1-1-1-11-22220000−2i32i311-1-1i3i3−i3−i300−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ67444-444-4-4-4-2-2-2-222-2-2122-22-22-2-211-1-1-1-11-222200002i3−2i311-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ68444-4-4-444-4-24-2-2-4-4-24-2224-42-2-4-4-2-22222-22-24400000022-2-20000000000000000000000000000000000000000000000
χ69444-4-4-444-4-2-2-2-222-2-2122-222-22211-1-1-1-112-2-2-20000−2i32i3-1-111i3i3−i3−i3002i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ70444-4-4-444-4-2-2-2-222-2-2122-222-22211-1-1-1-112-2-2-200002i3−2i3-1-111−i3−i3i3i300−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ7144-444-44-4-44-2-4-4-2-24-2-24-42244-2222-2-222-2-4-4-22000000-22-220000000000000000000000000000000000000000000000
χ7244-444-44-4-4-2-222-2-2-2-21-2222-2-2-22-1-111-1-1122-2200−2i32i3001-11-1i3−i3i3−i3−2i32i300i3−i3i3−i30000000000000000000000000000000000
χ7344-444-44-4-4-2-222-2-2-2-21-2222-2-2-22-1-111-1-1122-22002i3−2i3001-11-1−i3i3−i3i32i3−2i300−i3i3−i3i30000000000000000000000000000000000
χ7444-44-44-44-44-2-4-4-2-24-2-24-422-4-42-222-2-222-2442-20000002-22-20000000000000000000000000000000000000000000000
χ7544-44-44-44-4-2-222-2-2-2-21-2222222-2-1-111-1-11-2-22-200−2i32i300-11-11i3−i3i3−i32i3−2i300−i3i3−i3i30000000000000000000000000000000000
χ7644-44-44-44-4-2-222-2-2-2-21-2222222-2-1-111-1-11-2-22-2002i3−2i300-11-11−i3i3−i3i3−2i32i300i3−i3i3−i30000000000000000000000000000000000
χ7744-4-44-4-4444-2-4-4224-2-2-442-24-4-222222-2-2-2-442-2000000-222-20000000000000000000000000000000000000000000000
χ7844-4-44-4-444-2422-4-4-24-22-2-44-224-42222-2-2-22-2-44000000-222-20000000000000000000000000000000000000000000000
χ7944-4-44-4-444-2-22222-2-212-22-2-22-22-1-1-1-11112-22-20000001-1-113-3-3300003-3-330000000000000000000000000000000000
χ8044-4-44-4-444-2-22222-2-212-22-2-22-22-1-1-1-11112-22-20000001-1-11-333-30000-333-30000000000000000000000000000000000
χ8144-4-4-444-444-2-4-4224-2-2-442-2-442-22222-2-2-24-4-220000002-2-220000000000000000000000000000000000000000000000
χ8244-4-4-444-44-2422-4-4-24-22-2-442-2-442222-2-2-2-224-40000002-2-220000000000000000000000000000000000000000000000
χ8344-4-4-444-44-2-22222-2-212-22-22-22-2-1-1-1-1111-22-22000000-111-13-3-330000-333-30000000000000000000000000000000000
χ8444-4-4-444-44-2-22222-2-212-22-22-22-2-1-1-1-1111-22-22000000-111-1-333-300003-3-330000000000000000000000000000000000
χ858-80000000880000-8-8800000000000000-8000000000000000000000000000000000000000000000000000000000000
χ868-800000008-400−4i34i3-84-40000000000−4i34i3004000000000000000000000000000000000000000000000000000000000000
χ878-800000008-4004i3−4i3-84-400000000004i3−4i3004000000000000000000000000000000000000000000000000000000000000
χ888-80000000-48−4i34i3004-8-400000000−4i34i300004000000000000000000000000000000000000000000000000000000000000
χ898-80000000-484i3−4i3004-8-4000000004i3−4i300004000000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-4−4i34i3−4i34i3442000000002i3−2i32i3−2i36-6-2000000000000000000000000000000000000000000000000000000000000
χ918-80000000-4-4−4i34i34i3−4i3442000000002i3−2i3−2i32i3-66-2000000000000000000000000000000000000000000000000000000000000
χ928-80000000-4-44i3−4i3−4i34i344200000000−2i32i32i3−2i3-66-2000000000000000000000000000000000000000000000000000000000000
χ938-80000000-4-44i3−4i34i3−4i344200000000−2i32i3−2i32i36-6-2000000000000000000000000000000000000000000000000000000000000

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