Finite Group Databasebeta

← Group #11788726

Character table — Group #11788726

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666663666666666661212121212121212441212121212121212121212121212121212121212224488884444661212121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ9111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-11-111-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−i1-1i−i1111-1-1ii−i−i-1-1ii−i−iii−i−ii−i
χ10111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-11-111-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii1-1−ii1111-1-1−i−iii-1-1−i−iii−i−iii−ii
χ11111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-11-111-1-111-1-111-1-11111-1-1-1-1-1-111ii−i−i-11i−i-1-1-1-111ii−i−i11ii−i−i−i−iii−ii
χ12111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-11-111-1-111-1-111-1-11111-1-1-1-1-1-111−i−iii-11−ii-1-1-1-111−i−iii11−i−iiiii−i−ii−i
χ13111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1111111-1-1ii−i−i-11−ii11-1-111−i−iii-1-1ii−i−iii−i−i−ii
χ14111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1111111-1-1−i−iii-11i−i11-1-111ii−i−i-1-1−i−iii−i−iiii−i
χ15111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-111ii−i−i1-1−ii-1-111-1-1−i−iii11ii−i−i−i−iiii−i
χ16111-1-11111-1-11-1-111111-1-1-111-1-1-1-1111-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-111−i−iii1-1i−i-1-111-1-1ii−i−i11−i−iiiii−i−i−ii
χ172222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-22-2000000002-2000000002-20000000000
χ182222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-22-2200000000-2200000000-220000000000
χ19222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-10000-1-10000000000
χ20222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111110000110000000000
χ21222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-11111111122220000-2-200-1-111110000-1-10000000000
χ22222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000220011-1-1-1-10000110000000000
χ23222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i32-22-200000000-11−i3i3−i3i30000-110000000000
χ24222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-22-22000000001-1i3−i3i3−i300001-10000000000
χ25222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i32-22-200000000-11i3−i3i3−i30000-110000000000
χ26222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-22-22000000001-1−i3i3−i3i300001-10000000000
χ2722222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220022000000-1-1-1-100-1-1-1-1000000
χ2822222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000001111001111000000
χ2922222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-2-1-1-1-1111111110000222200-2-2000000111100-1-1-1-1000000
χ3022222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-20022000000-1-1-1-1001111000000
χ31222-2-222-2-2222-2-222222-2-2-222-2-2-2-22-2-22-2-22220000000000-2-222000000002-2-22000000002-200000000-220000000000
χ32222-2-222-2-2222-2-222222-2-2-222-2-2-2-22-2-22-2-22220000000000-2-22200000000-222-200000000-22000000002-20000000000
χ33222-2-22-122-2-22-2-2-1-1-1-12-211-1-11111-122-2-1-111-22-222-2-2-1-111-1-111-1-1-1-1111122-2-200002-200-1-1-1-1110000110000000000
χ34222-2-22-122-2-22-2-2-1-1-1-12-211-1-11111-122-2-1-111-22-222-2-2-1-111-1-111-1-1-1-11111-2-2220000-22001111-1-10000-1-10000000000
χ35222-2-22-122-2-22-2-2-1-1-1-12-211-1-11111-122-2-1-111-2-22-2-22211-1-1-1-1111111-1-1-1-122-2-20000-2200-1-111-1-10000110000000000
χ36222-2-22-122-2-22-2-2-1-1-1-12-211-1-11111-122-2-1-111-2-22-2-22211-1-1-1-1111111-1-1-1-1-2-22200002-20011-1-1110000-1-10000000000
χ37222-2-22-1-2-2222-2-2-1-1-1-12-211-1-11111-1-2-2211-1-12000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-2200000000-11−i3i3i3−i300001-10000000000
χ38222-2-22-1-2-2222-2-2-1-1-1-12-211-1-11111-1-2-2211-1-12000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-222-2000000001-1i3−i3−i3i30000-110000000000
χ39222-2-22-1-2-2222-2-2-1-1-1-12-211-1-11111-1-2-2211-1-12000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-2200000000-11i3−i3−i3i300001-10000000000
χ40222-2-22-1-2-2222-2-2-1-1-1-12-211-1-11111-1-2-2211-1-12000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-222-2000000001-1−i3i3i3−i30000-110000000000
χ41222-2-2-1222-2-2-111222-1-11-2-2-1-11111-1-1-1122-2-212-2-1-11122-2-2-1-111-1-1-1-1111100002i2i−2i−2i002i−2i000000−i−iii00−i−iii000000
χ42222-2-2-1222-2-2-111222-1-11-2-2-1-11111-1-1-1122-2-212-2-1-11122-2-2-1-111-1-1-1-111110000−2i−2i2i2i00−2i2i000000ii−i−i00ii−i−i000000
χ43222-2-2-1222-2-2-111222-1-11-2-2-1-11111-1-1-1122-2-21-2211-1-1-2-222-1-1111111-1-1-1-100002i2i−2i−2i00−2i2i000000ii−i−i00−i−iii000000
χ44222-2-2-1222-2-2-111222-1-11-2-2-1-11111-1-1-1122-2-21-2211-1-1-2-222-1-1111111-1-1-1-10000−2i−2i2i2i002i−2i000000−i−iii00ii−i−i000000
χ4522-22-2222-22-2222-2-222-2-22-2-2-222-2-222-222-22-2-200000000002-22-20000000000000000000000000000000000002i−2i2i−2i00
χ4622-22-2222-22-2222-2-222-2-22-2-2-222-2-222-222-22-2-200000000002-22-2000000000000000000000000000000000000−2i2i−2i2i00
χ4722-22-222-22-22222-2-222-2-22-2-2-222-2-22-22-2-22-2220000000000-22-220000000000002-22-200000000000000002-22-2000000
χ4822-22-222-22-22222-2-222-2-22-2-2-222-2-22-22-2-22-2220000000000-22-22000000000000-22-220000000000000000-22-22000000
χ4922-22-2-12-22-22-1-1-1-2-22-1112-211-1-111-11-11-22-22-100−i3i3−i3i300001-11-1−i3i3−i3i3−i3i3−i3i300002-22-20000000000−i3i3−i3i300-11-11000000
χ5022-22-2-12-22-22-1-1-1-2-22-1112-211-1-111-11-11-22-22-100−i3i3−i3i300001-11-1−i3i3−i3i3−i3i3−i3i30000-22-220000000000i3−i3i3−i3001-11-1000000
χ5122-22-2-12-22-22-1-1-1-2-22-1112-211-1-111-11-11-22-22-100i3−i3i3−i300001-11-1i3−i3i3−i3i3−i3i3−i300002-22-20000000000i3−i3i3−i300-11-11000000
χ5222-22-2-12-22-22-1-1-1-2-22-1112-211-1-111-11-11-22-22-100i3−i3i3−i300001-11-1i3−i3i3−i3i3−i3i3−i30000-22-220000000000−i3i3−i3i3001-11-1000000
χ5322-2-22222-2-222-2-2-2-222-22-22-2-2-2-22222-2-22-2-22200000000002-2-220000000000000000000000000000000000002-2-2200
χ5422-2-22222-2-222-2-2-2-222-22-22-2-2-2-22222-2-22-2-22200000000002-2-22000000000000000000000000000000000000-222-200
χ5522-2-2222-222-22-2-2-2-222-22-22-2-2-2-2222-222-222-2-20000000000-222-20000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000
χ5622-2-2222-222-22-2-2-2-222-22-22-2-2-2-2222-222-222-2-20000000000-222-2000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000
χ5722-2-22-12-222-2-111-2-22-11-1-221111-1-1-11-1-1-222-2100−i3i3i3−i300001-1-11−i3i3−i3i3i3−i3i3−i300002i−2i−2i2i00000000003−3−3300−iii−i000000
χ5822-2-22-12-222-2-111-2-22-11-1-221111-1-1-11-1-1-222-2100−i3i3i3−i300001-1-11−i3i3−i3i3i3−i3i3−i30000−2i2i2i−2i0000000000−333−300i−i−ii000000
χ5922-2-22-12-222-2-111-2-22-11-1-221111-1-1-11-1-1-222-2100i3−i3−i3i300001-1-11i3−i3i3−i3−i3i3−i3i300002i−2i−2i2i0000000000−333−300−iii−i000000
χ6022-2-22-12-222-2-111-2-22-11-1-221111-1-1-11-1-1-222-2100i3−i3−i3i300001-1-11i3−i3i3−i3−i3i3−i3i30000−2i2i2i−2i00000000003−3−3300i−i−ii000000
χ6144444-24-4-4-4-4-2-2-2444-2-2-244-2-2-2-2-2-2-2222-4-4-4-4200000000002222000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222000000−2i32i3−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000002i3−2i32i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ66444-4-4-24-4-444-222444-2-22-4-4-2-22222-222-2-4-444-2000000000022-2-2000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-222-2-2-21-222211-1-1-1-11-2-22-2-22224-4-2-222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000
χ68444-4-4-2-244-4-4-222-2-2-21-222211-1-1-1-11-2-22-2-2222-4422-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ69444-4-4-2-2-4-444-222-2-2-21-222211-1-1-1-1122-222-2-2-2000000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-222-2-2-21-222211-1-1-1-1122-222-2-2-20000002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ7144-44-44-24-44-444422-2-2-4-4-2222-2-222-24-44-22-22-40000000000-22-22000000000000000000000000000000000000000000
χ7244-44-44-2-44-4444422-2-2-4-4-2222-2-222-2-44-42-22-2400000000002-22-2000000000000000000000000000000000000000000
χ7344-44-4-244-44-4-2-2-2-4-44-2224-422-2-222-2-22-24-44-420000000000-22-22000000000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-222-2122-22-1-111-1-11-22-2-22-22200000000001-11-13-3-333-3-330000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-222-2122-22-1-111-1-11-22-2-22-22200000000001-11-1-333-3-333-30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-2-222-2122-22-1-111-1-112-222-22-2-200−2i32i3−2i32i30000-11-11i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-222-2122-22-1-111-1-112-222-22-2-2002i3−2i32i3−2i30000-11-11−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ7844-4-444-24-4-444-4-422-2-2-442-22222-2-2-24-4-4-222-240000000000-222-2000000000000000000000000000000000000000000
χ7944-4-444-2-444-44-4-422-2-2-442-22222-2-2-2-4442-2-22-400000000002-2-22000000000000000000000000000000000000000000
χ8044-4-44-244-4-44-222-4-44-22-2-442222-2-2-2-2224-4-44-20000000000-222-2000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-22222-212-22-2-1-1-1-1111-222-222-2-200000000001-1-113-3-33-333-30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-22222-212-22-2-1-1-1-1111-222-222-2-200000000001-1-11-333-33-3-330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-22222-212-22-2-1-1-1-11112-2-22-2-22200−2i32i32i3−2i30000-111-1i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-22222-212-22-2-1-1-1-11112-2-22-2-222002i3−2i3−2i32i30000-111-1−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ858-8000880000-80000-880000000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-800−4i34i34-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8004i3−4i34-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004−4i34i300-8-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000000000
χ898-8000-48000044i3−4i300-8-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3−4i34i34200002i3−2i32i3−2i36-6-20000000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34i3−4i3420000−2i32i32i3−2i3-66-20000000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3−4i34i34200002i3−2i3−2i32i3-66-20000000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34i3−4i3420000−2i32i3−2i32i36-6-20000000000000000000000000000000000000000000000000000000000000000

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