Finite Group Databasebeta

← Group #11868128

Character table — Group #11868128

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242422448888226666668812122424242424242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1
χ9111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-11-11-111-1-11-11-111-1-11-11-111-1-111-1-111-1-11-1
χ10111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-11-11-1-1-1111-11-111-1-1-111-1-1-111-1-111-1-111-11
χ11111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-1-11-1111-1-1-11-11-1-1111-1-1111-1-111-1-1-1-111-11
χ12111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-1-11-11-1-111-11-11-1-111-11-11-1-111-1-11111-1-11-1
χ13111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-11111111-11-111-1-1-111-1-1-111-111-1-1-11111-1-111-1-1-11
χ14111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-11111111-11-1-1-111-111-1-1-1111-11-111-1-1-1-111-1-1111-1
χ15111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-1111111-11-1111-1-11-1-1111-1-1-11-11-1-11111-1-1-1-1111-1
χ16111-1-111-1-111-1-1111111-1-11-1-1-11-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-1111111-11-11-1-1111-1-1111-1-11-1-1111-1-1-1-11111-1-1-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ19222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-100-1-100000000000000
χ20222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111111001100000000000000
χ21222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122220000-2-2-1-1111100-1-100000000000000
χ22222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-200002211-1-1-1-1001100000000000000
χ2322222-12222222-12-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100002222000000002200-1-1-1-1-1-1-1-1000000
χ2422222-12222222-12-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-200000000-2-20011111111000000
χ2522222-12222222-12-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-11111-2-21111-2-211110000222200000000-2-2001111-1-1-1-1000000
χ2622222-12222222-12-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-11111-2-21111-2-211110000-2-2-2-2000000002200-1-1-1-11111000000
χ27222-2-22222-2-2-2-222-2-222-2-22-2-2-2222-22222-2-2-2-22-200-22000000000000000000000000000000000000000000002i−2i−2i2i00
χ28222-2-22222-2-2-2-222-2-222-2-22-2-2-2222-22222-2-2-2-22-200-2200000000000000000000000000000000000000000000−2i2i2i−2i00
χ29222-2-22-1-2-222112-122-12-2-2-1111-1-2-2-11111-1-1-12-112-2-1122-2-2-1-1-1-1-1-11111112-22-200002-2-11-1-11100-1100000000000000
χ30222-2-22-1-2-222112-122-12-2-2-1111-1-2-2-11111-1-1-12-112-2-1122-2-2-1-1-1-1-1-1111111-22-220000-221-111-1-1001-100000000000000
χ31222-2-22-1-2-222112-122-12-2-2-1111-1-2-2-11111-1-1-12-11-22-11-2-222111111-1-1-1-1-1-12-22-20000-22-1111-1-100-1100000000000000
χ32222-2-22-1-2-222112-122-12-2-2-1111-1-2-2-11111-1-1-12-11-22-11-2-222111111-1-1-1-1-1-1-22-2200002-21-1-1-111001-100000000000000
χ33222-2-2-12-2-222-2-2-12-1-1-1-1112-211-1112-2-2112-1-1-1-112-2-11-1-11122-1-1-1-1-2-21111000022-2-2000000002-200-1-111-1-111000000
χ34222-2-2-12-2-222-2-2-12-1-1-1-1112-211-1112-2-2112-1-1-1-112-2-11-1-11122-1-1-1-1-2-211110000-2-22200000000-220011-1-111-1-1000000
χ35222-2-2-12-2-222-2-2-12-1-1-1-1112-211-1112-2-2112-1-1-1-11-22-1111-1-1-2-2111122-1-1-1-1000022-2-200000000-220011-1-1-1-111000000
χ36222-2-2-12-2-222-2-2-12-1-1-1-1112-211-1112-2-2112-1-1-1-11-22-1111-1-1-2-2111122-1-1-1-10000-2-222000000002-200-1-11111-1-1000000
χ3722-22-2222-22-22222222-22-2-2-22222-2-22-222222-2-2-200-2-2000000000000000022-2-200000022000000-2-200000000000000
χ3822-22-2222-22-22222222-22-2-2-22222-2-22-222222-2-2-200-2-20000000000000000-2-222000000-2-20000002200000000000000
χ3922-22-222-22-222222-2-22-22-2-2-2222-222-22-2-2-2-2-22-2-20022000000000000000000002-22-200000000000000002-22-2000000
χ4022-22-222-22-222222-2-22-22-2-2-2222-222-22-2-2-2-2-22-2-2002200000000000000000000-22-220000000000000000-22-22000000
χ4122-22-22-12-22-2-1-12-122-1-22-211-1-1-12-21-11-1-1-1-1-1-21100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i322-2-2000000-1-1−i3i3−i3i3001100000000000000
χ4222-22-22-12-22-2-1-12-122-1-22-211-1-1-12-21-11-1-1-1-1-1-21100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-2-22200000011i3−i3i3−i300-1-100000000000000
χ4322-22-22-12-22-2-1-12-122-1-22-211-1-1-12-21-11-1-1-1-1-1-21100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i322-2-2000000-1-1i3−i3i3−i3001100000000000000
χ4422-22-22-12-22-2-1-12-122-1-22-211-1-1-12-21-11-1-1-1-1-1-21100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-2-22200000011−i3i3−i3i300-1-100000000000000
χ4522-22-2-12-22-2222-1211-11-11-2-2-1-1-11-12-2211-211-11100-1-13−33−3003−33−3003−33−300002-22-20000000000003−33−3-11-11000000
χ4622-22-2-12-22-2222-1211-11-11-2-2-1-1-11-12-2211-211-11100-1-13−33−3003−33−3003−33−30000-22-22000000000000−33−331-11-1000000
χ4722-22-2-12-22-2222-1211-11-11-2-2-1-1-11-12-2211-211-11100-1-1−33−3300−33−3300−33−3300002-22-2000000000000−33−33-11-11000000
χ4822-22-2-12-22-2222-1211-11-11-2-2-1-1-11-12-2211-211-11100-1-1−33−3300−33−3300−33−330000-22-220000000000003−33−31-11-1000000
χ4922-2-22222-2-22-2-222-2-22-2-22-22-2-222-222-222-2-2-22-22002-2000000000000000000002-2-2200000000000000002-2-22000000
χ5022-2-22222-2-22-2-222-2-22-2-22-22-2-222-222-222-2-2-22-22002-200000000000000000000-222-20000000000000000-222-2000000
χ5122-2-2222-222-2-2-222222-2-22-22-2-22-22-2-22-2-2222-2-2200-2200000000000000002-2-220000002-2000000-2200000000000000
χ5222-2-2222-222-2-2-222222-2-22-22-2-22-22-2-22-2-2222-2-2200-220000000000000000-222-2000000-220000002-200000000000000
χ5322-2-222-1-222-2112-122-1-2-221-111-1-2211-111-1-1-1-21-1001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i32-2-22000000-11−i3i3i3−i3001-100000000000000
χ5422-2-222-1-222-2112-122-1-2-221-111-1-2211-111-1-1-1-21-1001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3-222-20000001-1i3−i3−i3i300-1100000000000000
χ5522-2-222-1-222-2112-122-1-2-221-111-1-2211-111-1-1-1-21-1001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i32-2-22000000-11i3−i3−i3i3001-100000000000000
χ5622-2-222-1-222-2112-122-1-2-221-111-1-2211-111-1-1-1-21-1001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3-222-20000001-1−i3i3i3−i300-1100000000000000
χ5722-2-22-122-2-22-2-2-1211-111-1-2211-1-1122-2-1-1-211-11-100-113−3−33003−33−300−33−3300002-2-220000000000003−3−33-111-1000000
χ5822-2-22-122-2-22-2-2-1211-111-1-2211-1-1122-2-1-1-211-11-100-113−3−33003−33−300−33−330000-222-2000000000000−333−31-1-11000000
χ5922-2-22-122-2-22-2-2-1211-111-1-2211-1-1122-2-1-1-211-11-100-11−333−300−33−33003−33−300002-2-22000000000000−333−3-111-1000000
χ6022-2-22-122-2-22-2-2-1211-111-1-2211-1-1122-2-1-1-211-11-100-11−333−300−33−33003−33−30000-222-20000000000003−3−331-1-11000000
χ61444444-2-4-4-4-4-2-24-2-4-4-2444-2-2-2-2-2-4-422222222-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-444-2422-2-2-2-244-2-2-222-4-4-422-4222-2-2002200000000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-12-1-121100-1-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-12-1-121100-1-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ67444-4-44-244-4-4224-2-4-4-24-4-4-2222-2442-2-2-2-2222-4-22002-200000000000000000000000000000000000000000000000000
χ68444-4-4-2444-4-4-4-4-2422-2-2224-422-2-2-2-444-2-2-4222-22002-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-422-2-2221-222-22-1-11-2-22-2-2112-1-121-100-110000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ70444-4-4-2-244-4-422-2-2221-222-22-1-11-2-22-2-2112-1-121-100-11000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ71444-4-4-2-2-4-44422-2-2-2-21-222-22-1-1122-222-1-1-211-21-14-41-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000
χ72444-4-4-2-2-4-44422-2-2-2-21-222-22-1-1122-222-1-1-211-21-1-441-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ7344-44-44-2-44-44-2-24-2-4-4-2-44-422-2-2-2-44-22-22222242200-2-200000000000000000000000000000000000000000000000000
χ7444-44-4-244-44-444-24-2-2-22-22-4-4-2-2-2-22-44-4-2-24-2-2222002200000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2-2-212-2222111-222-2211-2112-1-100-1-10000−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-2-2-212-2222111-222-2211-2112-1-100-1-100002i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-22212-22221112-2-22-2-1-12-1-1-2-1-1001123−2323−2300−33−3300−33−330000000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-2-2-22212-22221112-2-22-2-1-12-1-1-2-1-10011−2323−2323003−33−3003−33−30000000000000000000000000000000000
χ7944-4-444-24-4-44224-2-4-4-2-4-442-222-24-4-2-22-2-222242-200-2200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-4-4-24-2-2-222-2-4422-22-2-4-44224-2-222-2002-200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-222122-22-2-1-11-22-2-22112-1-1-2-11001-123−23−232300−33−33003−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-222122-22-2-1-11-22-2-22112-1-1-2-11001-1−232323−23003−33−300−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-2-2-2122-22-2-1-112-222-2-1-1-2112-1100-110000−2i32i3i3i3−i3−i32i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-2-2-2122-22-2-1-112-222-2-1-1-2112-1100-1100002i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ858-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i3-8400-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i3-8400-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000004-843−43-4000000040000000043−43000000000000000000000000000000000000000000000000000000000
χ898-8000-480000004-8−4343-40000000400000000−4343000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−432000002i3−2i3-2000006i−6i0−2323000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−43432000002i3−2i3-200000−6i6i023−23000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43200000−2i32i3-200000−6i6i0−2323000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343200000−2i32i3-2000006i−6i023−23000000000000000000000000000000000000000000000000000000000

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