Finite Group Databasebeta

← Group #11788926

Character table — Group #11788926

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666121236666666612121212121212121212124466121212121212121212121212121212121212224488884466881212121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1
χ91111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-11-11-1ii−i−i1-11-1i−i1-111-1-1ii−i−iii−i−iii−i−ii−i
χ101111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-11-11-1−i−iii1-11-1−ii1-111-1-1−i−iii−i−iii−i−iii−ii
χ111111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-11-11ii−i−i-11-11i−i-11-1-111ii−i−iii−i−i−i−iii−ii
χ121111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-11-11−i−iii-11-11−ii-11-1-111−i−iii−i−iiiii−i−ii−i
χ131111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111-11-1ii−i−i-111-1−ii1-1-1-111−i−iiiii−i−iii−i−i−ii
χ141111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111-11-1−i−iii-111-1i−i1-1-1-111ii−i−i−i−iii−i−iiii−i
χ151111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-11-11ii−i−i1-1-11−ii-1111-1-1−i−iiiii−i−i−i−iiii−i
χ161111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-11-11−i−iii1-1-11i−i-1111-1-1ii−i−i−i−iiiii−i−i−ii
χ17222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222000022-1-100-1-1-1-1-1-100000000000000
χ18222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2110011111100000000000000
χ19222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-12-2-2-1-11111-1-1-2-21111-2-2111122220000-2-2-1-100-1-1111100000000000000
χ20222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-12-2-2-1-11111-1-1-2-21111-2-21111-2-2-2-2000022110011-1-1-1-100000000000000
χ21222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-22-2-1-1-1-1111122-1-1-1-1-2-211112-22-200002-2-1100-11-1-11100000000000000
χ22222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-22-2-1-1-1-1111122-1-1-1-1-2-21111-22-220000-221-1001-111-1-100000000000000
χ23222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-2-22-1-111-1-111-2-2111122-1-1-1-12-22-20000-22-1100-1111-1-100000000000000
χ24222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-2-22-1-111-1-111-2-2111122-1-1-1-1-22-2200002-21-1001-1-1-11100000000000000
χ2522222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000022000000-1-1-1-1-1-1-1-1000000
χ2622222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-200000011111111000000
χ2722222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111000022220000-2-20000001111-1-1-1-1000000
χ2822222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110000-2-2-2-2000022000000-1-1-1-11111000000
χ2922222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-2111112-2-1-122-2-211-1-1-1-1-1-111111100002i2i−2i−2i00002i−2i000000−i−iii−i−iii000000
χ3022222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-2111112-2-1-122-2-211-1-1-1-1-1-11111110000−2i−2i2i2i0000−2i2i000000ii−i−iii−i−i000000
χ3122222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-211111-22-1-1-2-22211111111-1-1-1-1-1-100002i2i−2i−2i0000−2i2i000000ii−i−i−i−iii000000
χ3222222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-211111-22-1-1-2-22211111111-1-1-1-1-1-10000−2i−2i2i2i00002i−2i000000−i−iiiii−i−i000000
χ33222-2-22222-2-22-2-222222-22-2-22-2-22-222-2-222-2-2-2002-200002-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ34222-2-22222-2-22-2-222222-22-2-22-2-22-222-2-222-2-2-2002-200002-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ35222-2-222-2-2222-2-22-2-222-22-2-22-2-2-22-2-222-2-2222002-20000-2200000000000000002-2-2200000000000000002-2-22000000
χ36222-2-222-2-2222-2-22-2-222-22-2-22-2-2-22-2-222-2-2222002-20000-220000000000000000-222-20000000000000000-222-2000000
χ37222-2-2-1222-2-2-1-2-22-1-1-1-112-21-111-1122-2-2-1-111100-110000-113−333−3−33−333−3−300002i−2i2i−2i000000000000−i3i3−i3i3−ii−ii000000
χ38222-2-2-1222-2-2-1-2-22-1-1-1-112-21-111-1122-2-2-1-111100-110000-113−333−3−33−333−3−30000−2i2i−2i2i000000000000i3−i3i3−i3i−ii−i000000
χ39222-2-2-1222-2-2-1-2-22-1-1-1-112-21-111-1122-2-2-1-111100-110000-11−33−3−333−33−3−33300002i−2i2i−2i000000000000i3−i3i3−i3−ii−ii000000
χ40222-2-2-1222-2-2-1-2-22-1-1-1-112-21-111-1122-2-2-1-111100-110000-11−33−3−333−33−3−3330000−2i2i−2i2i000000000000−i3i3−i3i3i−ii−i000000
χ41222-2-2-12-2-222-1-2-2211-1-112-21-1111-1-2-22211-1-1-100-1100001-13−333−3−3−33−3−33300002-2-22000000000000−333−3-111-1000000
χ42222-2-2-12-2-222-1-2-2211-1-112-21-1111-1-2-22211-1-1-100-1100001-13−333−3−3−33−3−3330000-222-20000000000003−3−331-1-11000000
χ43222-2-2-12-2-222-1-2-2211-1-112-21-1111-1-2-22211-1-1-100-1100001-1−33−3−3333−333−3−300002-2-220000000000003−3−33-111-1000000
χ44222-2-2-12-2-222-1-2-2211-1-112-21-1111-1-2-22211-1-1-100-1100001-1−33−3−3333−333−3−30000-222-2000000000000−333−31-1-11000000
χ4522-22-2222-22-22-2-22-2-22-22-22-22-2-2222-22-2-2-222-200-2200002-200000000000000000000000000000000000000002i−2i2i−2i00
χ4622-22-2222-22-22-2-22-2-22-22-22-22-2-2222-22-2-2-222-200-2200002-20000000000000000000000000000000000000000−2i2i−2i2i00
χ4722-22-222-22-222-2-22222-22-22-22-2-2-2-2-22-2222-2-2200-220000-2200000000000000000000000000000000000000002-2-2200
χ4822-22-222-22-222-2-22222-22-22-22-2-2-2-2-22-2222-2-2200-220000-220000000000000000000000000000000000000000-222-200
χ4922-2-22222-2-222222-2-22-2-2-2-222222-22-2-22-2-2-2-2200-2-20000220000000000002-2-220000002-200-22000000000000000000
χ5022-2-22222-2-222222-2-22-2-2-2-222222-22-2-22-2-2-2-2200-2-2000022000000000000-222-2000000-22002-2000000000000000000
χ5122-2-2222-222-22222222-2-2-2-22222-22-222-22222-200-2-20000-2-200000000000022-2-20000002200-2-2000000000000000000
χ5222-2-2222-222-22222222-2-2-2-22222-22-222-22222-200-2-20000-2-2000000000000-2-222000000-2-20022000000000000000000
χ5322-2-222-12-2-222-1-1-1-2-2-1-2-2112-1-1-12-2-111-1111120011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i32-2-22000000-11001-1−i3i3−i3i300000000000000
χ5422-2-222-12-2-222-1-1-1-2-2-1-2-2112-1-1-12-2-111-1111120011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i3-222-20000001-100-11i3−i3i3−i300000000000000
χ5522-2-222-12-2-222-1-1-1-2-2-1-2-2112-1-1-12-2-111-1111120011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i32-2-22000000-11001-1i3−i3i3−i300000000000000
χ5622-2-222-12-2-222-1-1-1-2-2-1-2-2112-1-1-12-2-111-1111120011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i3-222-20000001-100-11−i3i3−i3i300000000000000
χ5722-2-222-1-222-22-1-1-122-1-2-2112-1-1-1-221-1-11-1-1-1-1-20011−i3i3i3−i31100−i3i3−i3i300i3−i3i3−i322-2-2000000-1-10011−i3i3i3−i300000000000000
χ5822-2-222-1-222-22-1-1-122-1-2-2112-1-1-1-221-1-11-1-1-1-1-20011−i3i3i3−i31100−i3i3−i3i300i3−i3i3−i3-2-2220000001100-1-1i3−i3−i3i300000000000000
χ5922-2-222-1-222-22-1-1-122-1-2-2112-1-1-1-221-1-11-1-1-1-1-20011i3−i3−i3i31100i3−i3i3−i300−i3i3−i3i322-2-2000000-1-10011i3−i3−i3i300000000000000
χ6022-2-222-1-222-22-1-1-122-1-2-2112-1-1-1-221-1-11-1-1-1-1-20011i3−i3−i3i31100i3−i3i3−i300−i3i3−i3i3-2-2220000001100-1-1−i3i3i3−i300000000000000
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-124-411-2-222-1-1-2-2111122-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-12-441122-2-2-1-122-1-1-1-1-2-211110000000000000000000000000000000000
χ65444-4-44-244-4-4422-244-24-4-22-4-2224-4-2-222-2-222-400-220000-220000000000000000000000000000000000000000000000
χ66444-4-44-2-4-444422-2-4-4-24-4-22-4-222-4422-2-222-2-2400-2200002-20000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-222-2-2-21-22-2221-1-1-22-2-22211-1-12001-100001-123−23−3−33323−23−3−3330000000000000000000000000000000000
χ68444-4-4-2-244-4-4-222-2-2-21-22-2221-1-1-22-2-22211-1-12001-100001-1−232333−3−3−232333−3−30000000000000000000000000000000000
χ69444-4-4-2-2-4-444-222-2221-22-2221-1-12-222-2-2-1-111-2001-10000-1123−23−3−333−232333−3−30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-222-2221-22-2221-1-12-222-2-2-1-111-2001-10000-11−232333−3−323−23−3−3330000000000000000000000000000000000
χ7144-44-44-24-44-4422-2-4-4-2-442-2-4-22244-22-2222-2-2-4002-20000-220000000000000000000000000000000000000000000000
χ7244-44-44-2-44-44422-244-2-442-2-4-222-4-42-22-2-2-2224002-200002-20000000000000000000000000000000000000000000000
χ7344-44-4-244-44-4-2-4-4422-22-2-442-222-2-24-44-422-2-22002-20000-220000000000000000000000000000000000000000000000
χ7444-44-4-24-44-44-2-4-44-2-2-22-2-442-22222-44-44-2-222-2002-200002-20000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-222-22212-22-221-1-1-2-2-22-22-1-111200-1100001-1003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ7644-44-4-2-24-44-4-222-22212-22-221-1-1-2-2-22-22-1-111200-1100001-100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-44-222-2-2-212-22-221-1-1222-22-211-1-1-200-110000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ7844-44-4-2-2-44-44-222-2-2-212-22-221-1-1222-22-211-1-1-200-110000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ7944-4-44-244-4-44-244422-222-4-4-2-2-2-2-224-4-442222-200220000-2-20000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-2444-2-2-222-4-4-2-2-2-22-2-444-4-2-2-2-2200220000220000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-22212222-2111-22-222-2-1-1-1-1-200-1-1−2i32i3−2i32i31100i3−i3i3−i300i3−i3i3−i30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-22212222-2111-22-222-2-1-1-1-1-200-1-12i3−2i32i3−2i31100−i3i3−i3i300−i3i3−i3i30000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-2-2-2-2-212222-21112-22-2-221111200-1-1−2i32i32i3−2i3-1-100i3−i3i3−i300−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-2-2-2-2-212222-21112-22-2-221111200-1-12i3−2i3−2i32i3-1-100−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000
χ858-8000880000-800-800800000-8000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-8−4i34i3400-4000004−4i34i30000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-84i3−4i3400-40000044i3−4i30000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000400-843−43-40000040000000043−4300000000000000000000000000000000000000000000000000000000000
χ898-8000-480000400-8−4343-400000400000000−434300000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−43200000-22i3−2i3000000−23236i−6i000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−4343200000-22i3−2i300000023−23−6i6i000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−43200000-2−2i32i3000000−2323−6i6i000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−4343200000-2−2i32i300000023−236i−6i000000000000000000000000000000000000000000000000000000000

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