Finite Group Databasebeta

← Group #11788792

Character table — Group #11788792

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212246666666666121212121212121212122222444444666688121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1
χ911-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-111-1-1ii−i−i1-111-1-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ1011-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-111-1-1−i−iii1-111-1-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ1111-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1-1-111ii−i−i-11-1-111i−i-1-111ii−i−iii−i−i−i−iii−ii
χ1211-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1-1-111−i−iii-11-1-111−ii-1-111−i−iii−i−iiiii−i−ii−i
χ1311-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1ii−i−i-1111-1-1−ii-1-111ii−i−i−i−iiiii−i−i−ii
χ1411-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1−i−iii-1111-1-1i−i-1-111−i−iiiii−i−i−i−iiii−i
χ1511-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-111ii−i−i1-1-1-111−ii11-1-1ii−i−i−i−iii−i−iiii−i
χ1611-11-11111-1-11111-1-111-1-1-1111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-111−i−iii1-1-1-111i−i11-1-1−i−iiiii−i−iii−i−i−ii
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200002-22-20000002-22-200000000000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000-22-22000000-22-2200000000000000000000
χ19222222-122222-1-1-122-122-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000022-1-1-1-100-1-1-1-100000000000000
χ20222222-122222-1-1-122-122-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111100111100000000000000
χ21222222-122222-1-1-122-122-1-1-1-1-1222-1-12-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-1111122220000-2-2-1-1-1-100111100000000000000
χ22222222-122222-1-1-122-122-1-1-1-1-1222-1-12-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111-2-2-2-2000022111100-1-1-1-100000000000000
χ23222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-211-21111110000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i32-22-2000000-11-1100−i3i3−i3i300000000000000
χ24222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-211-21111110000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i3-22-220000001-11-100i3−i3i3−i300000000000000
χ25222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-211-21111110000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i32-22-2000000-11-1100i3−i3i3−i300000000000000
χ26222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-211-21111110000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i3-22-220000001-11-100−i3i3−i3i300000000000000
χ2722222-122222-1222-1-1-1-1-122-1-1-1-1-1-122-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222000000220000-1-1-1-1-1-1-1-1000000
χ2822222-122222-1222-1-1-1-1-122-1-1-1-1-1-122-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2000000-2-2000011111111000000
χ2922222-122222-1222-1-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111100002222000000-2-20000-1-1-1-11111000000
χ3022222-122222-1222-1-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-20000002200001111-1-1-1-1000000
χ31222-2-2222-22-222-2-2222-222-2-2-22-22-22-2-22-222-2-20000002-2000000002-2000000000000000000000000000000002i−2i2i−2i00
χ32222-2-2222-22-222-2-2222-222-2-2-22-22-22-2-22-222-2-20000002-2000000002-200000000000000000000000000000000−2i2i−2i2i00
χ33222-2-222-22-2222-2-2-2-22-222-2-2-22-2-22-222-22-2-2220000002-200000000-22000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ34222-2-222-22-2222-2-2-2-22-222-2-2-22-2-22-222-22-2-2220000002-200000000-2200000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ35222-2-2-12-22-22-12-2-211-11-12-211-111-1-22-1-2211-1-100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ36222-2-2-12-22-22-12-2-211-11-12-211-111-1-22-1-2211-1-100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ37222-2-2-12-22-22-12-2-211-11-12-211-111-1-22-1-2211-1-100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ38222-2-2-12-22-22-12-2-211-11-12-211-111-1-22-1-2211-1-100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ3922-22-222-2-22222222222-2-2-2222-2-2-2-2-22222222000000-2-200000000-2-200002-2-220000002-2-2200000000000000000000
χ4022-22-222-2-22222222222-2-2-2222-2-2-2-2-22222222000000-2-200000000-2-20000-222-2000000-222-200000000000000000000
χ4122-22-22-122-2-22-1-1-1-2-2-12-211-1-1-1-222-1-1-21111112-222-1-111-1-1-1-1-2-211-1-1111122-2-200002-2-1-11100-1-11100000000000000
χ4222-22-22-122-2-22-1-1-1-2-2-12-211-1-1-1-222-1-1-21111112-222-1-111-1-1-1-1-2-211-1-11111-2-2220000-2211-1-10011-1-100000000000000
χ4322-22-22-122-2-22-1-1-1-2-2-12-211-1-1-1-222-1-1-2111111-22-2-21111111122-1-1-1-1-1-1-1-122-2-20000-22-1-1110011-1-100000000000000
χ4422-22-22-122-2-22-1-1-1-2-2-12-211-1-1-1-222-1-1-2111111-22-2-21111111122-1-1-1-1-1-1-1-1-2-22200002-211-1-100-1-11100000000000000
χ4522-22-22-1-2-2222-1-1-122-12-211-1-1-1-2-2-2112-1-1-1-1-1-10000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i32-2-22000000-111-100−i3i3i3−i300000000000000
χ4622-22-22-1-2-2222-1-1-122-12-211-1-1-1-2-2-2112-1-1-1-1-1-10000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3-222-20000001-1-1100i3−i3−i3i300000000000000
χ4722-22-22-1-2-2222-1-1-122-12-211-1-1-1-2-2-2112-1-1-1-1-1-10000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i32-2-22000000-111-100i3−i3−i3i300000000000000
χ4822-22-22-1-2-2222-1-1-122-12-211-1-1-1-2-2-2112-1-1-1-1-1-10000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3-222-20000001-1-1100−i3i3i3−i300000000000000
χ4922-22-2-1222-2-2-122211-1-11-2-2-1-1-11-1-1221-2-211112-2-1-12211-1-1-1-111-2-2-1-1111100002i2i−2i−2i0000002i−2i0000−i−iii−i−iii000000
χ5022-22-2-1222-2-2-122211-1-11-2-2-1-1-11-1-1221-2-211112-2-1-12211-1-1-1-111-2-2-1-111110000−2i−2i2i2i000000−2i2i0000ii−i−iii−i−i000000
χ5122-22-2-1222-2-2-122211-1-11-2-2-1-1-11-1-1221-2-21111-2211-2-2111111-1-122-1-1-1-1-1-100002i2i−2i−2i000000−2i2i0000−i−iiiii−i−i000000
χ5222-22-2-1222-2-2-122211-1-11-2-2-1-1-11-1-1221-2-21111-2211-2-2111111-1-122-1-1-1-1-1-10000−2i−2i2i2i0000002i−2i0000ii−i−i−i−iii000000
χ5322-2-22222-2-2222-2-2-2-22-2-2-22-2-2222-22-22-22-2-222000000-22000000002-2000000000000000000000000000000002-2-2200
χ5422-2-22222-2-2222-2-2-2-22-2-2-22-2-2222-22-22-22-2-222000000-22000000002-200000000000000000000000000000000-222-200
χ5522-2-2222-222-222-2-2222-2-2-22-2-222-22-22-22-222-2-2000000-2200000000-22000000002-2-220000000000002-2-220000000000
χ5622-2-2222-222-222-2-2222-2-2-22-2-222-22-22-22-222-2-2000000-2200000000-2200000000-222-2000000000000-222-20000000000
χ5722-2-22-12-222-2-12-2-2-1-1-111-2211-1-11-1-2212-2-1-11100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i300002-2-22000000000000-111-1−i3i3i3−i3000000
χ5822-2-22-12-222-2-12-2-2-1-1-111-2211-1-11-1-2212-2-1-11100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i30000-222-20000000000001-1-11i3−i3−i3i3000000
χ5922-2-22-12-222-2-12-2-2-1-1-111-2211-1-11-1-2212-2-1-11100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i300002-2-22000000000000-111-1i3−i3−i3i3000000
χ6022-2-22-12-222-2-12-2-2-1-1-111-2211-1-11-1-2212-2-1-11100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i30000-222-20000000000001-1-11−i3i3i3−i3000000
χ6144444-24-4-4-4-4-244422-2-2-244-2-2-2-222-4-42-4-42222000000-2-2000000002200000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-10000−2i32i311i3i3−i3−i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-100002i3−2i311−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ66444-4-44-24-44-44-22244-2-44-2222-2-44-4-22-4-22-2-222000000-2200000000-2200000000000000000000000000000000000000
χ67444-4-44-2-44-444-222-4-4-2-44-2222-2-4-442-242-222-2-2000000-22000000002-200000000000000000000000000000000000000
χ68444-4-4-244-44-4-24-4-4-2-2-22-24-422-22-224-424-4-2-222000000-2200000000-2200000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-222-2-212-2-22-1-112-22-222-2211-1-10000001-13-3-3300001-13-3-330000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-222-2-212-2-22-1-112-22-222-2211-1-10000001-1-333-300001-1-333-30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2222212-2-22-1-1122-22-2-22-2-1-11100−2i32i3001-1i3−i3i3−i3−2i32i300-11i3−i3i3−i30000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2222212-2-22-1-1122-22-2-22-2-1-111002i3−2i3001-1−i3i3−i3i32i3−2i300-11−i3i3−i3i30000000000000000000000000000000000
χ7344-44-4-24-4-444-2444-2-2-2-22-4-4-2-2-2222-4-4-244-2-2-2-200000022000000002200000000000000000000000000000000000000
χ7444-44-4-2-244-4-4-2-2-2-2221-22221112-2-2-2-2222-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ7544-44-4-2-244-4-4-2-2-2-2221-22221112-2-2-2-2222-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7644-44-4-2-2-4-444-2-2-2-2-2-21-222211122222-2-2-211110000−2i32i3-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ7744-44-4-2-2-4-444-2-2-2-2-2-21-222211122222-2-2-2111100002i3−2i3-1-1−i3−i3i3i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ7844-4-444-24-4-444-222-4-4-2-4-42-222-244-4-2242-222-2-20000002-200000000-2200000000000000000000000000000000000000
χ7944-4-444-2-444-44-22244-2-4-42-222-24-442-2-4-22-2-2220000002-2000000002-200000000000000000000000000000000000000
χ8044-4-44-244-4-44-24-4-422-222-4422-2-2-224-4-2-4422-2-20000002-200000000-2200000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-222221222-2-1-11-2-22-22-22-2-1-111000000-113-3-3300001-1-333-30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-222221222-2-1-11-2-22-22-22-2-1-111000000-11-333-300001-13-3-330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-21222-2-1-11-22-22-22-2211-1-100−2i32i300-11i3−i3i3−i32i3−2i300-11−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-21222-2-1-11-22-22-22-2211-1-1002i3−2i300-11−i3i3−i3i3−2i32i300-11i3−i3i3−i30000000000000000000000000000000000
χ858-8000880000-8-800008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-84−4i34i300-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-844i3−4i300-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-80043−43-400000040000000043−430000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-800−4343-4000000400000000−43430000000000000000000000000000000000000000000000000000000000
χ908-8000-4-4000044−4i34i343−43200002i3−2i3-200000000−23236i−6i00000000000000000000000000000000000000000000000000000000
χ918-8000-4-4000044−4i34i3−4343200002i3−2i3-20000000023−23−6i6i00000000000000000000000000000000000000000000000000000000
χ928-8000-4-40000444i3−4i343−4320000−2i32i3-200000000−2323−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8000-4-40000444i3−4i3−434320000−2i32i3-20000000023−236i−6i00000000000000000000000000000000000000000000000000000000

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