Finite Group Databasebeta

← Group #11788856

Character table — Group #11788856

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order1222222223366666622344666666666666666666666666666666612121212121212122444444466121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-11-1-1-111-1-111111-111-1111-111-1-1-1-111-1-1-1-11-1-11-11-111-1-111-1-11-11-111-1-11-11-1i−ii−i1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-11-1-1-111-1-111111-111-1111-111-1-1-1-111-1-1-1-11-1-11-11-111-1-111-1-11-11-111-1-11-11-1−ii−ii1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-11-1-1-111-1-111111-111-1111-111-1-1-1-111-1-1-1-11-1-11-11-111-1-111-1-11-11-111-1-1-11-11i−ii−i-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111-11-1-1-111-1-111111-111-1111-111-1-1-1-111-1-1-1-11-1-11-11-111-1-111-1-11-11-111-1-1-11-11−ii−ii-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-11-1-1-111-1-11111-111-11111-111-1-1-1-111-1-1-1-11-1-1-11-1111-1-1-1-111-11-11-1-1111-1-11i−i−ii11-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ141111-11-1-1-111-1-11111-111-11111-111-1-1-1-111-1-1-1-11-1-1-11-1111-1-1-1-111-11-11-1-1111-1-11−iii−i11-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ151111-11-1-1-111-1-11111-111-11111-111-1-1-1-111-1-1-1-11-1-1-11-1111-1-1-1-111-11-11-1-111-111-1i−i−ii-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i
χ161111-11-1-1-111-1-11111-111-11111-111-1-1-1-111-1-1-1-11-1-1-11-1111-1-1-1-111-11-11-1-111-111-1−iii−i-1-111-1-111−i−iiiii−i−iii−i−i−i−iii
χ172222222222-1222-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ182222222222-1222-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ192222222222-1222-1-1-1-2-2-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-211-1-1-1-11111-2-211111122-2-20000-1-11111-1-10000000000000000
χ202222222222-1222-1-1-1-2-2-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-211-1-1-1-11111-2-2111111-2-222000011-1-1-1-1110000000000000000
χ21222222222-12-1-1-122222-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ22222222222-12-1-1-122222-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000001111111100000000
χ23222222222-12-1-1-1222-2-2-1-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-111-2-2-1-1-1-1111111-2-21111000022-2-200000000-1-1-1-1111100000000
χ24222222222-12-1-1-1222-2-2-1-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-111-2-2-1-1-1-1111111-2-211110000-2-222000000001111-1-1-1-100000000
χ252222-22-2-2-22-1-2-22-1-1-12-2-12-2222-2-1-11111-1-11111-1-2-22-2-11-1-111-1-1112-2-11-1-1112-22-20000-1-1-1-111110000000000000000
χ262222-22-2-2-22-1-2-22-1-1-12-2-12-2222-2-1-11111-1-11111-1-2-22-2-11-1-111-1-1112-2-11-1-111-22-2200001111-1-1-1-10000000000000000
χ272222-22-2-2-22-1-2-22-1-1-1-22-1-22222-2-1-11111-1-11111-1-2-2-221-1-1-11111-1-1-221-111-1-12-2-220000-1-111-1-1110000000000000000
χ282222-22-2-2-22-1-2-22-1-1-1-22-1-22222-2-1-11111-1-11111-1-2-2-221-1-1-11111-1-1-221-111-1-1-222-2000011-1-111-1-10000000000000000
χ292222-22-2-2-2-1211-12222-2-12-2-1-1-1122-2-2-2-2-1-11111-111-112-2-1-111-1-111-112-2-1-11100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ302222-22-2-2-2-1211-12222-2-12-2-1-1-1122-2-2-2-2-1-11111-111-112-2-1-111-1-111-112-2-1-1110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ312222-22-2-2-2-1211-1222-22-1-22-1-1-1122-2-2-2-2-1-11111-1111-1-22-1-11111-1-11-1-2211-1-100002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ322222-22-2-2-2-1211-1222-22-1-22-1-1-1122-2-2-2-2-1-11111-1111-1-22-1-11111-1-11-1-2211-1-10000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ33222-22-22-2-222222-2-22002002-2-2-22-222-2-2-2-222-2-222-200002-22-200000000000000000000000000000000000000002i−2i2i−2i
χ34222-22-22-2-222222-2-22002002-2-2-22-222-2-2-2-222-2-222-200002-22-20000000000000000000000000000000000000000−2i2i−2i2i
χ35222-2-2-2-22222-2-22-2-22002002-2-222-2-2-222-2-2-2-2222-2200002-2-2200000000000000000000000000000000000000002-2-22
χ36222-2-2-2-22222-2-22-2-22002002-2-222-2-2-222-2-2-2-2222-2200002-2-220000000000000000000000000000000000000000-222-2
χ3722-222-2-22-222222-2-2200200-22-2-2-222-22-2-2-222-2-22-220000-22-220000000000000000000000000000000000002i−2i2i−2i0000
χ3822-222-2-22-222222-2-2200200-22-2-2-222-22-2-2-222-2-22-220000-22-22000000000000000000000000000000000000−2i2i−2i2i0000
χ3922-22-2-22-2222-2-22-2-2200200-22-22-22-22-22-2-2-2-22222-20000-222-20000000000000000000000000000000000002-2-220000
χ4022-22-2-22-2222-2-22-2-2200200-22-22-22-22-22-2-2-2-22222-20000-222-2000000000000000000000000000000000000-222-20000
χ4122-2-222-2-2222222222222-2-2-2-222-2-22-2-222222222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ4222-2-222-2-2222222222-2-2222-2-222-2-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ4322-2-222-2-222-1222-1-1-122-1-2-2-2-22211-111-1-1-1-1-1-1-1-1-2-222-1-11111-1-1-1-1-2-211111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ4422-2-222-2-222-1222-1-1-122-1-2-2-2-22211-111-1-1-1-1-1-1-1-1-2-222-1-11111-1-1-1-1-2-211111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ4522-2-222-2-222-1222-1-1-1-2-2-122-2-22211-111-1-1-1-1-1-1-1-1-2-2-2-2111111111122-1-1-1-1-1-100000000−i3i3i3−i3i3−i3−i3i30000000000000000
χ4622-2-222-2-222-1222-1-1-1-2-2-122-2-22211-111-1-1-1-1-1-1-1-1-2-2-2-2111111111122-1-1-1-1-1-100000000i3−i3−i3i3−i3i3i3−i30000000000000000
χ4722-2-222-2-22-12-1-1-122222-1-2-211-1-1-2-22-2-22-1-1-1-1-1-1-111-1-1221111-1-1-1-111-2-2111100000000000000003−33−33−33−300000000
χ4822-2-222-2-22-12-1-1-122222-1-2-211-1-1-2-22-2-22-1-1-1-1-1-1-111-1-1221111-1-1-1-111-2-211110000000000000000−33−33−33−3300000000
χ4922-2-222-2-22-12-1-1-1222-2-2-12211-1-1-2-22-2-22-1-1-1-1-1-1-11111-2-211111111-1-122-1-1-1-100000000000000003−33−3−33−3300000000
χ5022-2-222-2-22-12-1-1-1222-2-2-12211-1-1-2-22-2-22-1-1-1-1-1-1-11111-2-211111111-1-122-1-1-1-10000000000000000−33−333−33−300000000
χ5122-2-2-2222-222-2-222222-22-22-2-22-2-2-2-222-222-2-2-2-22222-22-2-2-22222-2-2-22-22-2-22200000000000000000000000000000000
χ5222-2-2-2222-222-2-22222-2222-2-2-22-2-2-2-222-222-2-2-2-2222-22-22-2-222-2-2222-22-222-2-200000000000000000000000000000000
χ5322-2-2-2222-22-1-2-22-1-1-12-2-1-22-2-22-2111-1-11-1-11111-1222-2-1111-1-1-1-111-221-111-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ5422-2-2-2222-22-1-2-22-1-1-12-2-1-22-2-22-2111-1-11-1-11111-1222-2-1111-1-1-1-111-221-111-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ5522-2-2-2222-22-1-2-22-1-1-1-22-12-2-2-22-2111-1-11-1-11111-122-221-111-1-111-1-12-2-11-1-11100000000−i3i3i3−i3−i3i3i3−i30000000000000000
χ5622-2-2-2222-22-1-2-22-1-1-1-22-12-2-2-22-2111-1-11-1-11111-122-221-111-1-111-1-12-2-11-1-11100000000i3−i3−i3i3i3−i3−i3i30000000000000000
χ5722-2-2-2222-2-1211-12222-2-1-2211-11-2-2-222-2-1-11111-1-1-1-112-211-1-1-1-1111-1-2211-1-10000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ5822-2-2-2222-2-1211-12222-2-1-2211-11-2-2-222-2-1-11111-1-1-1-112-211-1-1-1-1111-1-2211-1-10000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ5922-2-2-2222-2-1211-1222-22-12-211-11-2-2-222-2-1-11111-1-1-11-1-2211-1-111-1-1-112-2-1-1110000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ6022-2-2-2222-2-1211-1222-22-12-211-11-2-2-222-2-1-11111-1-1-11-1-2211-1-111-1-1-112-2-1-1110000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ61444444444-2-2-2-2-2-2-2-244144-2-2-2-2-2-2-2-2-2-21111111-2-2-2-2-2-211111111-2-2-2-2111100000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-2-4-41-4-4-2-2-2-2-2-2-2-2-2-21111111-2-222221111-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ634444-44-4-4-4-2-222-2-2-2-24-414-4-2-2-22-2-2222211-1-1-1-1122-22-2211-1-111-1-1-22-2211-1-100000000000000000000000000000000
χ644444-44-4-4-4-2-222-2-2-2-2-441-44-2-2-22-2-2222211-1-1-1-11222-22-211-1-1-1-1112-22-2-1-11100000000000000000000000000000000
χ65444-44-44-4-44-244422-200-2004-4-4-4-22-2-22222-2-222-24-40000-22-2200000000000000000000000000000000000000000000
χ66444-44-44-4-4-24-2-2-2-4-4400-200-22224-444-4-422-2-222-2-220000-22-2200000000000000000000000000000000000000000000
χ67444-44-44-4-4-2-2-2-2-222-200100-2222-22-2-222-1-111-1-11-2200001-11-13-33-300003-33-300000000000000000000000000000000
χ68444-44-44-4-4-2-2-2-2-222-200100-2222-22-2-222-1-111-1-11-2200001-11-1-33-330000-33-3300000000000000000000000000000000
χ69444-4-4-4-4444-2-4-4422-200-2004-4-44-2222-2-22222-2-2-2-440000-222-200000000000000000000000000000000000000000000
χ70444-4-4-4-444-2422-2-4-4400-200-222-24-4-4-4442222-2-2-22-20000-222-200000000000000000000000000000000000000000000
χ71444-4-4-4-444-2-222-222-200100-222-2-2222-2-2-1-1-1-11112-200001-1-113-3-3300003-3-3300000000000000000000000000000000
χ72444-4-4-4-444-2-222-222-200100-222-2-2222-2-2-1-1-1-11112-200001-1-11-333-30000-333-300000000000000000000000000000000
χ7344-444-4-44-44-244422-200-200-44-4-42-2-22-2222-2-222-2-4400002-22-200000000000000000000000000000000000000000000
χ7444-444-4-44-4-24-2-2-2-4-4400-2002-222-444-44-422-2-222-22-200002-22-200000000000000000000000000000000000000000000
χ7544-444-4-44-4-2-2-2-2-222-2001002-2222-2-22-22-1-111-1-112-20000-11-113-33-30000-33-3300000000000000000000000000000000
χ7644-444-4-44-4-2-2-2-2-222-2001002-2222-2-22-22-1-111-1-112-20000-11-11-33-3300003-33-300000000000000000000000000000000
χ7744-44-4-44-444-2-4-4422-200-200-44-442-22-22-22222-2-2-24-400002-2-2200000000000000000000000000000000000000000000
χ7844-44-4-44-44-2422-2-4-4400-2002-22-2-44-44-442222-2-2-2-2200002-2-2200000000000000000000000000000000000000000000
χ7944-44-4-44-44-2-222-222-2001002-22-22-22-22-2-1-1-1-1111-220000-111-13-3-330000-333-300000000000000000000000000000000
χ8044-44-4-44-44-2-222-222-2001002-22-22-22-22-2-1-1-1-1111-220000-111-1-333-300003-3-3300000000000000000000000000000000
χ8144-4-444-4-44-2-2-2-2-2-2-2-2441-4-422-2-222-222-2111111122-2-2-2-2-1-1-1-111112222-1-1-1-100000000000000000000000000000000
χ8244-4-444-4-44-2-2-2-2-2-2-2-2-4-414422-2-222-222-21111111222222-1-1-1-1-1-1-1-1-2-2-2-2111100000000000000000000000000000000
χ8344-4-4-4444-4-2-222-2-2-2-24-41-4422-22222-2-2211-1-1-1-11-2-2-22-22-1-11111-1-12-22-2-1-11100000000000000000000000000000000
χ8444-4-4-4444-4-2-222-2-2-2-2-4414-422-22222-2-2211-1-1-1-11-2-22-22-2-1-111-1-111-22-2211-1-100000000000000000000000000000000
χ858-800000008800-800-8008000000000000000000-8000000000000000000000000000000000000000000000000000000
χ868-800000008-400-8−4i34i3400-4000000000000−4i34i300004000000000000000000000000000000000000000000000000000000
χ878-800000008-400-84i3−4i3400-40000000000004i3−4i300004000000000000000000000000000000000000000000000000000000
χ888-80000000-48−4i34i3400-800-400000000000000−4i34i3004000000000000000000000000000000000000000000000000000000
χ898-80000000-484i3−4i3400-800-4000000000000004i3−4i3004000000000000000000000000000000000000000000000000000000
χ908-80000000-4-4−4i34i34−4i34i340020000000000002i3−2i32i3−2i36-6-2000000000000000000000000000000000000000000000000000000
χ918-80000000-4-4−4i34i344i3−4i34002000000000000−2i32i32i3−2i3-66-2000000000000000000000000000000000000000000000000000000
χ928-80000000-4-44i3−4i34−4i34i340020000000000002i3−2i3−2i32i3-66-2000000000000000000000000000000000000000000000000000000
χ938-80000000-4-44i3−4i344i3−4i34002000000000000−2i32i3−2i32i36-6-2000000000000000000000000000000000000000000000000000000

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