Finite Group Databasebeta

← Group #11868118

Character table — Group #11868118

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444666612123666666668888121212121212121212121266121224242424242424242424242424242424222466666688881212242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ9111-1-111-1-11111111111-1-1-1-111111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1111-11-1-1-111-1-111-1-11-11-111-1-1
χ10111-1-111-1-11111111111-1-1-1-111111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-11-11-1-1-1-111-1-111-11-11-1-111
χ11111-1-111-1-11111111111-1-1-1-111111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11-11-11111-1-111-1-1-11-11-1-111
χ12111-1-111-1-11111111111-1-1-1-111111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-11-1111-1-111-1-1111-11-111-1-1
χ13111-1-111-1-11111111111-1-1-1-1111-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11-1-111111-1-1-1-1111-11-1-1-111
χ14111-1-111-1-11111111111-1-1-1-1111-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-111-111-1-11111-1-1-11-1111-1-1
χ15111-1-111-1-11111111111-1-1-1-1111-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111111-1-11-1-111-1-1-1-111-11-1111-1-1
χ16111-1-111-1-11111111111-1-1-1-1111-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-111-1-1-1-1-11111-1-11-11-1-1-111
χ172222222-2-2-2-22222-2-22222222220000-2-2-2-2-2-2-2-2-2-2-222-2-2000000000000000000000000000000000000000000002i−2i2i−2i
χ182222222-2-2-2-22222-2-22222222220000-2-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000000000000000−2i2i−2i2i
χ19222222-12222-1-12-122-1222-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-10000-1-10000000000000000
χ20222222-12222-1-12-122-1222-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111110000110000000000000000
χ21222222-12222-1-12-122-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-2-2111111-2-211111122-2-2-1-1-1-1110000110000000000000000
χ22222222-12222-1-12-122-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2221111-1-10000-1-10000000000000000
χ2322222-12222222-12-1-1-1-1-1-122-1-1-12222-1-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000222200-1-1-1-1-1-1-1-100000000
χ2422222-12222222-12-1-1-1-1-1-122-1-1-12222-1-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-2-2-2-2001111111100000000
χ2522222-12222222-12-1-1-1-1-1-122-1-1-1-2-2-2-2-1-1222-1-1-12-1-1-1-1-1-111-2-2111111-2-21111000000000022-2-200-1-1-1-1111100000000
χ2622222-12222222-12-1-1-1-1-1-122-1-1-1-2-2-2-2-1-1222-1-1-12-1-1-1-1-1-111-2-2111111-2-211110000000000-2-222001111-1-1-1-100000000
χ27222-2-22222-2-22222-2-222-2-2-2-2222000022-222-2-2-2-2-2-2-2-222000000000000000000000000000000000000000000002i−2i−2i2i
χ28222-2-22222-2-22222-2-222-2-2-2-2222000022-222-2-2-2-2-2-2-2-22200000000000000000000000000000000000000000000−2i2i2i−2i
χ29222-2-22-1-2-222-1-12-122-12-2-211-1-1-122-2-2-2-2-111-1-12-1-1-1111122-1-1-1-1-1-1-2-21111112-22-2-1-111-1-10000110000000000000000
χ30222-2-22-1-2-222-1-12-122-12-2-211-1-1-122-2-2-2-2-111-1-12-1-1-1111122-1-1-1-1-1-1-2-2111111-22-2211-1-1110000-1-10000000000000000
χ31222-2-22-1-2-222-1-12-122-12-2-211-1-1-1-2-222-2-2-111-1-12-1-1-11111-2-211111122-1-1-1-1-1-12-2-22-1-111110000-1-10000000000000000
χ32222-2-22-1-2-222-1-12-122-12-2-211-1-1-1-2-222-2-2-111-1-12-1-1-11111-2-211111122-1-1-1-1-1-1-222-211-1-1-1-10000110000000000000000
χ33222-2-2-12-2-22222-12-1-1-1-111-2-2-1-1-122-2-2112-2-2-1-1-12-1-11111-1-122-1-1-1-111-2-2111100000000002-22-200-1-111-1-11100000000
χ34222-2-2-12-2-22222-12-1-1-1-111-2-2-1-1-122-2-2112-2-2-1-1-12-1-11111-1-122-1-1-1-111-2-211110000000000-22-220011-1-111-1-100000000
χ35222-2-2-12-2-22222-12-1-1-1-111-2-2-1-1-1-2-222112-2-2-1-1-12-1-1111111-2-21111-1-122-1-1-1-100000000002-2-2200-1-11111-1-100000000
χ36222-2-2-12-2-22222-12-1-1-1-111-2-2-1-1-1-2-222112-2-2-1-1-12-1-1111111-2-21111-1-122-1-1-1-10000000000-222-20011-1-1-1-11100000000
χ3722-22-2222-22-2-2-222222-22-22-2-2-2200002-222-222-2-2-2-22-22-2000000000000000000000000000000000000000022-2-20000
χ3822-22-2222-22-2-2-222222-22-22-2-2-2200002-222-222-2-2-2-22-22-20000000000000000000000000000000000000000-2-2220000
χ3922-22-222-22-22-2-222-2-22-22-22-2-2-222-22-2-22-2-22-2-222222-2-222-22-222-2-22-22-222-2-200000000000000000000000000000000
χ4022-22-222-22-22-2-222-2-22-22-22-2-2-22-22-22-22-2-22-2-222222-2-22-22-22-2-222-22-22-2-22200000000000000000000000000000000
χ4122-22-22-1-22-22112-1-2-2-1-22-2-1111-12-22-2-2211-1112-1-1-1-111-12-2-11-1-1112-2-11-1-1110000−i3i3−i3i3−i3i30000−i3i30000000000000000
χ4222-22-22-1-22-22112-1-2-2-1-22-2-1111-12-22-2-2211-1112-1-1-1-111-12-2-11-1-1112-2-11-1-1110000i3−i3i3−i3i3−i30000i3−i30000000000000000
χ4322-22-22-1-22-22112-1-2-2-1-22-2-1111-1-22-22-2211-1112-1-1-1-111-1-221-111-1-1-221-111-1-10000−i3i3−i3i3i3−i30000i3−i30000000000000000
χ4422-22-22-1-22-22112-1-2-2-1-22-2-1111-1-22-22-2211-1112-1-1-1-111-1-221-111-1-1-221-111-1-10000i3−i3i3−i3−i3i30000−i3i30000000000000000
χ4522-22-2-12-22-22-2-2-1211-11-112-211-12-22-21-1-2-2211-12-1-1-111-1-112-2-1-111-112-2-1-11100000000000000003−33−33−33−300000000
χ4622-22-2-12-22-22-2-2-1211-11-112-211-12-22-21-1-2-2211-12-1-1-111-1-112-2-1-111-112-2-1-1110000000000000000−33−33−33−3300000000
χ4722-22-2-12-22-22-2-2-1211-11-112-211-1-22-221-1-2-2211-12-1-1-111-11-1-2211-1-11-1-2211-1-100000000000000003−33−3−33−3300000000
χ4822-22-2-12-22-22-2-2-1211-11-112-211-1-22-221-1-2-2211-12-1-1-111-11-1-2211-1-11-1-2211-1-10000000000000000−33−333−33−300000000
χ4922-2-22222-2-22-2-222-2-22-2-22-22-2-222-2-222-2-22-2-2-22222-222-22-22-222-2-2-22-22-2-22200000000000000000000000000000000
χ5022-2-22222-2-22-2-222-2-22-2-22-22-2-22-222-22-2-22-2-2-22222-222-2-22-22-2-2222-22-222-2-200000000000000000000000000000000
χ5122-2-2222-222-2-2-222222-2-22-22-2-220000-222-2222-2-2-2-2-22-2200000000000000000000000000000000000000002-2-220000
χ5222-2-2222-222-2-2-222222-2-22-22-2-220000-222-2222-2-2-2-2-22-220000000000000000000000000000000000000000-222-20000
χ5322-2-222-12-2-22112-1-2-2-1-2-221-111-12-2-222-21-11112-1-1-11-1-112-2-11-1-111-221-111-1-10000−i3i3i3−i3−i3i30000i3−i30000000000000000
χ5422-2-222-12-2-22112-1-2-2-1-2-221-111-12-2-222-21-11112-1-1-11-1-112-2-11-1-111-221-111-1-10000i3−i3−i3i3i3−i30000−i3i30000000000000000
χ5522-2-222-12-2-22112-1-2-2-1-2-221-111-1-222-22-21-11112-1-1-11-1-11-221-111-1-12-2-11-1-1110000−i3i3i3−i3i3−i30000−i3i30000000000000000
χ5622-2-222-12-2-22112-1-2-2-1-2-221-111-1-222-22-21-11112-1-1-11-1-11-221-111-1-12-2-11-1-1110000i3−i3−i3i3−i3i30000i3−i30000000000000000
χ5722-2-22-122-2-22-2-2-1211-111-1-2211-12-2-22-11-22-211-12-1-11-1-11-112-2-1-1111-1-2211-1-100000000000000003−3−333−3−3300000000
χ5822-2-22-122-2-22-2-2-1211-111-1-2211-12-2-22-11-22-211-12-1-11-1-11-112-2-1-1111-1-2211-1-10000000000000000−333−3−333−300000000
χ5922-2-22-122-2-22-2-2-1211-111-1-2211-1-222-2-11-22-211-12-1-11-1-111-1-2211-1-1-112-2-1-11100000000000000003−3−33−333−300000000
χ6022-2-22-122-2-22-2-2-1211-111-1-2211-1-222-2-11-22-211-12-1-11-1-111-1-2211-1-1-112-2-1-1110000000000000000−333−33−3−3300000000
χ61444444-2-4-4-4-4-2-24-2-4-4-2444-2-2-2-2-20000-4-422222-4222-2-222000000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-444-2422-2-2-2-244-2-2-2000022-4-4-4222-422-2-222000000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-21114444-2-2-2-2-211-2-2111111-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-4-4-4-4-2-2-2-2-211-2-21111112222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111000022222-1-122-1-111-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111000022222-1-122-1-111-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000000000
χ67444-4-44-244-4-4-2-24-2-4-4-24-4-422-2-2-20000442-2-222-422222-2-2000000000000000000000000000000000000000000000000
χ68444-4-4-2444-4-444-2422-2-222-4-4-2-2-20000-2-2-444222-42222-2-2000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-2-2-2221-222221110000-2-22-2-2-1-122-1-1-1-11100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-2-2-2221-222221110000-2-22-2-2-1-122-1-1-1-1110000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2-2-2-2-21-2222211144-4-422-22211-2-211-1-1-1-1-2-2-2-211112222-1-1-1-100000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2-2-2-2-21-22222111-4-44422-22211-2-211-1-1-1-12222-1-1-1-1-2-2-2-2111100000000000000000000000000000000
χ7344-44-44-24-44-4224-244-2-44-4-2222-200004-4-2-22-2-2-4222-22-22000000000000000000000000000000000000000000000000
χ7444-44-4-244-44-4-4-4-24-2-2-22-224-422-20000-2244-4-2-22-422-22-22000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-422-2-2-2-212-22-22-1-110000-22-2-221122-1-11-11-100003i−3i−3i3i00003i−3i−3i3i00000000000000000000000000000000
χ7644-44-4-2-24-44-422-2-2-2-212-22-22-1-110000-22-2-221122-1-11-11-10000−3i3i3i−3i0000−3i3i3i−3i00000000000000000000000000000000
χ7744-44-4-2-2-44-4422-2-22212-22-22-1-114-44-42-222-2-1-1-2-2111-1-11-22-2211-1-1-22-2211-1-100000000000000000000000000000000
χ7844-44-4-2-2-44-4422-2-22212-22-22-1-11-44-442-222-2-1-1-2-2111-1-112-22-2-1-1112-22-2-1-11100000000000000000000000000000000
χ7944-4-444-2-444-4224-244-2-4-442-222-20000-44-22-2-2-2-42222-22-2000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-4-4-24-2-2-222-2-4422-200002-24-44-2-22-4222-22-2000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-222122-22-2-1-114-4-44-222-22-1-1-2-211-111-1-22-2211-1-12-22-2-1-11100000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-222122-22-2-1-11-444-4-222-22-1-1-2-211-111-12-22-2-1-111-22-2211-1-100000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-2-2-2122-22-2-1-1100002-2-22-21122-1-1-11-1100003i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-2-2-2122-22-2-1-1100002-2-22-21122-1-1-11-110000−3i3i3i−3i00003i−3i−3i3i00000000000000000000000000000000
χ858-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i3-8400-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i3-8400-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000004-843−43-40000000400000000043−4300000000000000000000000000000000000000000000000000000000
χ898-8000-480000004-8−4343-400000004000000000−434300000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−432000002i3−2i3-2000000000−2323006i−6i0000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−43432000002i3−2i3-200000000023−2300−6i6i0000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43200000−2i32i3-2000000000−232300−6i6i0000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343200000−2i32i3-200000000023−23006i−6i0000000000000000000000000000000000000000000000000000

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