Finite Group Databasebeta

← Group #11788889

Character table — Group #11788889

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444666612122234466666666121212121212121212121266666666661212121212121212121222446666888812121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ91111111-1-1-1-11111-1-11-111-111111111-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-111-1-11-11-111-1-1i−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111111-1-1-1-11111-1-11-111-111111111-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-111-1-11-11-111-1-1−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii
χ111111111-1-1-1-11111-1-11-111-111111111-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-111-1-1-11-11-1-111i−ii−i-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111111-1-1-1-11111-1-11-111-111111111-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-111-1-1-11-11-1-111−ii−ii-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111111-1-1-1-11111-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1111-1-1111-1-1i−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111111-1-1-1-11111-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1111-1-1111-1-1−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111111-1-1-1-11111-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-111-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111-1-1-1-11111-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-111-111-1-1-111−iii−i11-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222-122222-1-1-12222-122222-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-10000000000000000
χ18222222-122222-1-1-12222-122222-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-2-2-2-21111000011110000000000000000
χ19222222-122222-1-1-122-2-2-1-2-2222-1-1-1-1-12-1-1-1-1-1-1-1-122-2-211-1-11111-21-21-1-1111122-2-2-1-1-1-1000011110000000000000000
χ20222222-122222-1-1-122-2-2-1-2-2222-1-1-1-1-12-1-1-1-1-1-1-1-122-2-211-1-11111-21-21-1-11111-2-22211110000-1-1-1-10000000000000000
χ21222222-1-2-2-2-22-1-1-1-2-22-2-12-2222-1-1-1-1-1-211111111-2-22-2-11-1-1-1-1112-1-2111-1-1112-22-2-1-1110000-1-1110000000000000000
χ22222222-1-2-2-2-22-1-1-1-2-22-2-12-2222-1-1-1-1-1-211111111-2-22-2-11-1-1-1-1112-1-2111-1-111-22-2211-1-1000011-1-10000000000000000
χ23222222-1-2-2-2-22-1-1-1-2-2-22-1-22222-1-1-1-1-1-211111111-2-2-221-1-1-111-1-1-212-11111-1-12-2-22-1-111000011-1-10000000000000000
χ24222222-1-2-2-2-22-1-1-1-2-2-22-1-22222-1-1-1-1-1-211111111-2-2-221-1-1-111-1-1-212-11111-1-1-222-211-1-10000-1-1110000000000000000
χ2522222-122222-1222-1-122-122-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100000000
χ2622222-122222-1222-1-122-122-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-100000000-2-2-2-200001111111100000000
χ2722222-122222-1222-1-1-2-2-1-2-2-1-1-122-1-1-1-12222-1-1-1-1-1-111-2-2-1-111111-21-2-1-111110000000022-2-20000-1-1-1-1111100000000
χ2822222-122222-1222-1-1-2-2-1-2-2-1-1-122-1-1-1-12222-1-1-1-1-1-111-2-2-1-111111-21-2-1-1111100000000-2-22200001111-1-1-1-100000000
χ2922222-12-2-2-2-2-1222112-2-12-2-1-1-122-1-1-11-2-2-2-2111111-112-2-1-1-1-111-121-211-1-111000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ3022222-12-2-2-2-2-1222112-2-12-2-1-1-122-1-1-11-2-2-2-2111111-112-2-1-1-1-111-121-211-1-11100000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ3122222-12-2-2-2-2-122211-22-1-22-1-1-122-1-1-11-2-2-2-21111111-1-22-1-111-1-11-2-121111-1-1000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ3222222-12-2-2-2-2-122211-22-1-22-1-1-122-1-1-11-2-2-2-21111111-1-22-1-111-1-11-2-121111-1-100000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ33222-2-22222-2-222-2-222002002-2-22-2-2-22-222-2-222-2-22-200002-2000000002-2000000000000000000000000000000002i−2i2i−2i
χ34222-2-22222-2-222-2-222002002-2-22-2-2-22-222-2-222-2-22-200002-2000000002-200000000000000000000000000000000−2i2i−2i2i
χ35222-2-222-2-22222-2-2-2-2002002-2-22-2-2-222-2-222-2-222-2200002-200000000-22000000000000000000000000000000002-2-22
χ36222-2-222-2-22222-2-2-2-2002002-2-22-2-2-222-2-222-2-222-2200002-200000000-2200000000000000000000000000000000-222-2
χ3722-22-2222-22-222-2-22200200-22-2-22-2-22-22-22-222-2-2-220000-2200000000-2200000000000000000000000000002i−2i2i−2i0000
χ3822-22-2222-22-222-2-22200200-22-2-22-2-22-22-22-222-2-2-220000-2200000000-220000000000000000000000000000−2i2i−2i2i0000
χ3922-22-222-22-2222-2-2-2-200200-22-2-22-2-222-22-22-2-2222-20000-22000000002-200000000000000000000000000002-2-220000
χ4022-22-222-22-2222-2-2-2-200200-22-2-22-2-222-22-22-2-2222-20000-22000000002-20000000000000000000000000000-222-20000
χ4122-2-22222-2-222222222-22-22-2-22-2-222222-2-222222-2-22-22-2-2-222-2-2-2-222-2-2-2-22200000000000000000000000000000000
χ4222-2-22222-2-22222222-2222-2-2-22-2-222222-2-222222-2-2-22-22-2-2-2-22222-2-2-2-222-2-200000000000000000000000000000000
χ4322-2-2222-222-22222-2-2222-2-2-2-22-2-2222-2-222-2-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000
χ4422-2-2222-222-22222-2-2-2-2222-2-22-2-2222-2-222-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000
χ4522-2-222-12-2-222-1-1-1222-2-1-22-2-2211-1-1-12-111-1-1-1-1-1-2-22-2-1111-1-111-212-11111-1-10000−i3i3−i3i30000−i3i3−i3i30000000000000000
χ4622-2-222-12-2-222-1-1-1222-2-1-22-2-2211-1-1-12-111-1-1-1-1-1-2-22-2-1111-1-111-212-11111-1-10000i3−i3i3−i30000i3−i3i3−i30000000000000000
χ4722-2-222-12-2-222-1-1-122-22-12-2-2-2211-1-1-12-111-1-1-1-1-1-2-2-221-11111-1-12-1-2111-1-1110000−i3i3−i3i30000i3−i3i3−i30000000000000000
χ4822-2-222-12-2-222-1-1-122-22-12-2-2-2211-1-1-12-111-1-1-1-1-1-2-2-221-11111-1-12-1-2111-1-1110000i3−i3i3−i30000−i3i3−i3i30000000000000000
χ4922-2-222-1-222-22-1-1-1-2-222-1-2-2-2-2211-1-1-1-21-1-1111112222-1-111-1-1-1-1-21-21-1-111110000−i3i3i3−i30000−i3i3i3−i30000000000000000
χ5022-2-222-1-222-22-1-1-1-2-222-1-2-2-2-2211-1-1-1-21-1-1111112222-1-111-1-1-1-1-21-21-1-111110000i3−i3−i3i30000i3−i3−i3i30000000000000000
χ5122-2-222-1-222-22-1-1-1-2-2-2-2-122-2-2211-1-1-1-21-1-11111122-2-2111111112-12-1-1-1-1-1-1-10000−i3i3i3−i30000i3−i3−i3i30000000000000000
χ5222-2-222-1-222-22-1-1-1-2-2-2-2-122-2-2211-1-1-1-21-1-11111122-2-2111111112-12-1-1-1-1-1-1-10000i3−i3−i3i30000−i3i3i3−i30000000000000000
χ5322-2-22-122-2-22-1222-1-12-2-1-2211-1-2-2-1-1-1-12-2-22-1-1-1-111-112-211-1-1111-2-121111-1-100000000000000003−33−33−33−300000000
χ5422-2-22-122-2-22-1222-1-12-2-1-2211-1-2-2-1-1-1-12-2-22-1-1-1-111-112-211-1-1111-2-121111-1-10000000000000000−33−33−33−3300000000
χ5522-2-22-122-2-22-1222-1-1-22-12-211-1-2-2-1-1-1-12-2-22-1-1-1-1111-1-221111-1-1-121-211-1-11100000000000000003−33−3−33−3300000000
χ5622-2-22-122-2-22-1222-1-1-22-12-211-1-2-2-1-1-1-12-2-22-1-1-1-1111-1-221111-1-1-121-211-1-1110000000000000000−33−333−33−300000000
χ5722-2-22-12-222-2-12221122-1-2-211-1-2-2-1-1-11-222-21111-1-1-1-12211-1-1-1-11-21-2-1-111110000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ5822-2-22-12-222-2-12221122-1-2-211-1-2-2-1-1-11-222-21111-1-1-1-12211-1-1-1-11-21-2-1-111110000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ5922-2-22-12-222-2-122211-2-2-12211-1-2-2-1-1-11-222-21111-1-111-2-2111111-12-12-1-1-1-1-1-10000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ6022-2-22-12-222-2-122211-2-2-12211-1-2-2-1-1-11-222-21111-1-111-2-2111111-12-12-1-1-1-1-1-10000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ6144444-2-24444-2-2-2-2-2-244144-2-2-2-2-2111-2-2-2-2-21111-2-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2-2111-2-2-2-2-21111-2-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2224-414-4-2-2-2-2-211122222-1-1-1-122-22-221111-1-1-2-222-1-111-1-100000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-222-441-44-2-2-2-2-211122222-1-1-1-1222-22-211-1-11122-2-2-1-1-1-11100000000000000000000000000000000
χ65444-4-44-244-4-44-2224400-2004-4-4-2222-2-4-2-222-2-2224-40000-2200000000-22000000000000000000000000000000000000
χ66444-4-44-2-4-4444-222-4-400-2004-4-4-2222-2422-2-222-2-2-440000-22000000002-2000000000000000000000000000000000000
χ67444-4-4-2444-4-4-24-4-4-2-200-200-2224-422-2244-4-4-2-222-220000-2200000000-22000000000000000000000000000000000000
χ68444-4-4-24-4-444-24-4-42200-200-2224-422-2-2-4-44422-2-22-20000-22000000002-2000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-222-2-200100-222-22-1-112-2-22211-1-1-2200001-13-33-300001-13-33-300000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-222-2-200100-222-22-1-112-2-22211-1-1-2200001-1-33-3300001-1-33-3300000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2222200100-222-22-1-11-222-2-2-1-1112-200001-13-3-330000-113-3-3300000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2222200100-222-22-1-11-222-2-2-1-1112-200001-1-333-30000-11-333-300000000000000000000000000000000
χ7344-44-44-24-44-44-2224400-200-44-42-222-2-4-22-22-2-222-4400002-2000000002-2000000000000000000000000000000000000
χ7444-44-44-2-44-444-222-4-400-200-44-42-222-242-22-222-2-24-400002-200000000-22000000000000000000000000000000000000
χ7544-44-4-244-44-4-24-4-4-2-200-2002-22-4422-224-44-4-2-2222-200002-2000000002-2000000000000000000000000000000000000
χ7644-44-4-24-44-44-24-4-42200-2002-22-4422-2-2-44-4422-2-2-2200002-200000000-22000000000000000000000000000000000000
χ7744-44-4-2-24-44-4-2-222-2-2001002-222-2-1-112-22-2211-1-12-20000-113-3-330000-11-333-300000000000000000000000000000000
χ7844-44-4-2-24-44-4-2-222-2-2001002-222-2-1-112-22-2211-1-12-20000-11-333-30000-113-3-3300000000000000000000000000000000
χ7944-44-4-2-2-44-44-2-22222001002-222-2-1-11-22-22-2-1-111-220000-113-33-300001-1-33-3300000000000000000000000000000000
χ8044-44-4-2-2-44-44-2-22222001002-222-2-1-11-22-22-2-1-111-220000-11-33-3300001-13-33-300000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-2-2-24-41-4422-222111-2-222-2111122-22-22-1-111-1-122-2-2-1-1-1-11100000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-2-2-2-4414-422-222111-2-222-21111222-22-2-1-1-1-111-2-222-1-111-1-100000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-2-2-222441-4-422-22211122-2-22-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-2-2-222-4-414422-22211122-2-22-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ858-8000880000-8-80000008000000000-8000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-84−4i34i30000-40000000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-844i3−4i30000-400000004i3−4i34000000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-80043−4300-400000000040000043−4300000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-800−434300-4000000000400000−434300000000000000000000000000000000000000000000000000000000
χ908-8000-4-4000044−4i34i343−4300200000002i3−2i3-200000−23236i−6i000000000000000000000000000000000000000000000000000000
χ918-8000-4-4000044−4i34i3−434300200000002i3−2i3-20000023−23−6i6i000000000000000000000000000000000000000000000000000000
χ928-8000-4-40000444i3−4i343−430020000000−2i32i3-200000−2323−6i6i000000000000000000000000000000000000000000000000000000
χ938-8000-4-40000444i3−4i3−43430020000000−2i32i3-20000023−236i−6i000000000000000000000000000000000000000000000000000000

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