Finite Group Databasebeta

← Group #11784975

Character table — Group #11784975

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order1222233444466121212122234466666666612121212121212121212666666666612121212121212121212444488881212121212121212242424242424242422222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111-1-11111-1-11111111-111-111-1-1111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ10111-1-11111-1-11111111-111-111-1-1111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ11111-1-11111-1-11111111-111-111-1-1111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ12111-1-11111-1-11111111-111-111-1-1111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ13111-1-11111-1-1111111-111-1111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ14111-1-11111-1-1111111-111-1111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ15111-1-11111-1-1111111-111-1111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ16111-1-11111-1-1111111-111-1111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ172222222-2-2-2-222-2-2-2-22-22-22222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-222-2-2-2-22200000000000000000000000000000000
χ182222222-2-2-2-222-2-2-2-2-2222-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-222-2-200000000000000000000000000000000
χ19222222-122222-122-1-122-1222-122-1-1-1-1-12-1-1-1-1-1-1-1222-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ20222222-122222-122-1-122-1222-122-1-1-1-1-12-1-1-1-1-1-1-1222-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ21222222-122222-122-1-1-2-2-1-2-22-122-1-1-1-1-12-1-1-1-1-1-1-122-21-21-1-11111-21-21-1-1111122-2-20000-1-1-1-111110000000000000000
χ22222222-122222-122-1-1-2-2-1-2-22-122-1-1-1-1-12-1-1-1-1-1-1-122-21-21-1-11111-21-21-1-11111-2-22200001111-1-1-1-10000000000000000
χ23222222-1-2-2-2-22-1-2-2112-2-1-222-122-1-1-1-1-1-21111111-2-22-1-21-1-1-1-111-212-11111-1-100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ24222222-1-2-2-2-22-1-2-2112-2-1-222-122-1-1-1-1-1-21111111-2-22-1-21-1-1-1-111-212-11111-1-100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ25222222-1-2-2-2-22-1-2-211-22-12-22-122-1-1-1-1-1-21111111-2-2-212-1-1-111-1-12-1-2111-1-11100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ26222222-1-2-2-2-22-1-2-211-22-12-22-122-1-1-1-1-1-21111111-2-2-212-1-1-111-1-12-1-2111-1-11100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ2722222-122222-12-1-12222-122-12-1-1-1-1-122-1222-1-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2822222-122222-12-1-12222-122-12-1-1-1-1-122-1222-1-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ2922222-122222-12-1-122-2-2-1-2-2-12-1-1-1-1-122-1222-1-1-1-1-1-11-21-2-1-111111-21-2-1-11111000022-2-200000000-1-1-1-1111100000000
χ3022222-122222-12-1-122-2-2-1-2-2-12-1-1-1-1-122-1222-1-1-1-1-1-11-21-2-1-111111-21-2-1-111110000-2-222000000001111-1-1-1-100000000
χ3122222-12-2-2-2-2-1211-2-22-2-1-22-12-1-1-1-1-1221-2-2-2111111-121-2-1-1-1-1111-2-121111-1-100000000000000003−33−33−33−300000000
χ3222222-12-2-2-2-2-1211-2-22-2-1-22-12-1-1-1-1-1221-2-2-2111111-121-2-1-1-1-1111-2-121111-1-10000000000000000−33−33−33−3300000000
χ3322222-12-2-2-2-2-1211-2-2-22-12-2-12-1-1-1-1-1221-2-2-21111111-2-12-1-111-1-1-121-211-1-11100000000000000003−33−3−33−3300000000
χ3422222-12-2-2-2-2-1211-2-2-22-12-2-12-1-1-1-1-1221-2-2-21111111-2-12-1-111-1-1-121-211-1-1110000000000000000−33−333−33−300000000
χ35222-2-222-2-22222-2-2-2-2222-2-222-2-2222-2-2-2-222-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000
χ36222-2-222-2-22222-2-2-2-2-2-222222-2-2222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000
χ37222-2-22-122-2-22-122-1-12-2-12-22-1-2-2-1-1-1112-111-1-1-1-1-2-22-1-2111-1-1112-1-2111-1-1112i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ38222-2-22-122-2-22-122-1-12-2-12-22-1-2-2-1-1-1112-111-1-1-1-1-2-22-1-2111-1-1112-1-2111-1-111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ39222-2-22-122-2-22-122-1-1-22-1-222-1-2-2-1-1-1112-111-1-1-1-1-2-2-212-11111-1-1-212-11111-1-12i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ40222-2-22-122-2-22-122-1-1-22-1-222-1-2-2-1-1-1112-111-1-1-1-1-2-2-212-11111-1-1-212-11111-1-1−2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ41222-2-22-1-2-2222-1-2-21122-1-2-22-1-2-2-1-1-111-21-1-11111222-12-111-1-1-1-1-21-21-1-11111000000003−3−333−3−330000000000000000
χ42222-2-22-1-2-2222-1-2-21122-1-2-22-1-2-2-1-1-111-21-1-11111222-12-111-1-1-1-1-21-21-1-1111100000000−333−3−333−30000000000000000
χ43222-2-22-1-2-2222-1-2-211-2-2-1222-1-2-2-1-1-111-21-1-1111122-21-211111112-12-1-1-1-1-1-1-1000000003−3−33−333−30000000000000000
χ44222-2-22-1-2-2222-1-2-211-2-2-1222-1-2-2-1-1-111-21-1-1111122-21-211111112-12-1-1-1-1-1-1-100000000−333−33−3−330000000000000000
χ45222-2-2-1222-2-2-12-1-1222-2-12-2-1211-1-1-1-2-2-12-2-2-1-1-1-111-121-211-1-111-121-211-1-11100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ46222-2-2-1222-2-2-12-1-1222-2-12-2-1211-1-1-1-2-2-12-2-2-1-1-1-111-121-211-1-111-121-211-1-1110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ47222-2-2-1222-2-2-12-1-122-22-1-22-1211-1-1-1-2-2-12-2-2-1-1-1-1111-2-121111-1-11-2-121111-1-100002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ48222-2-2-1222-2-2-12-1-122-22-1-22-1211-1-1-1-2-2-12-2-2-1-1-1-1111-2-121111-1-11-2-121111-1-10000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ49222-2-2-12-2-222-1211-2-222-1-2-2-1211-1-1-1-2-21-2221111-1-1-12-1211-1-1-1-11-21-2-1-111110000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ50222-2-2-12-2-222-1211-2-222-1-2-2-1211-1-1-1-2-21-2221111-1-1-12-1211-1-1-1-11-21-2-1-111110000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ51222-2-2-12-2-222-1211-2-2-2-2-122-1211-1-1-1-2-21-2221111-1-11-21-2111111-12-12-1-1-1-1-1-10000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ52222-2-2-12-2-222-1211-2-2-2-2-122-1211-1-1-1-2-21-2221111-1-11-21-2111111-12-12-1-1-1-1-1-10000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ5322-22-2222-22-22222-2-200200-2-22-2-2-222-2-222-222-2-22-200002-2000000002-200000000000000000000000000002-22-20000
χ5422-22-2222-22-22222-2-200200-2-22-2-2-222-2-222-222-2-22-200002-2000000002-20000000000000000000000000000-22-220000
χ5522-22-222-22-2222-2-22200200-2-22-2-2-222-22-2-22-2-222-2200002-200000000-22000000000000000000000000000000002-22-2
χ5622-22-222-22-2222-2-22200200-2-22-2-2-222-22-2-22-2-222-2200002-200000000-2200000000000000000000000000000000-22-22
χ5722-2-22222-2-222222-2-200200-2-2-22-2-22-22-22-2222-2-2-220000-2200000000-2200000000000000000000000000002-2-220000
χ5822-2-22222-2-222222-2-200200-2-2-22-2-22-22-22-2222-2-2-220000-2200000000-220000000000000000000000000000-222-20000
χ5922-2-2222-222-222-2-22200200-2-2-22-2-22-222-22-2-2-2222-20000-22000000002-2000000000000000000000000000000002-2-22
χ6022-2-2222-222-222-2-22200200-2-2-22-2-22-222-22-2-2-2222-20000-22000000002-200000000000000000000000000000000-222-2
χ6144444-2-24444-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-21111-2-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2111-2-2-2-2-2-21111-2-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-222224-41-44-2-2-2-2111-2-22222-1-1-1-122-2-2221111-1-122-2-2-1-1-1-11100000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-22222-4414-4-2-2-2-2111-2-22222-1-1-1-12222-2-211-1-111-2-222-1-111-1-100000000000000000000000000000000
χ65444-4-4-2-244-4-4-2-2-2-2-2-24-414-4-2-22211122-2-222111122-2-222-1-111-1-1-2-222-1-111-1-100000000000000000000000000000000
χ66444-4-4-2-244-4-4-2-2-2-2-2-2-441-44-2-22211122-2-22211112222-2-2-1-1-1-11122-2-2-1-1-1-11100000000000000000000000000000000
χ67444-4-4-2-2-4-444-2-22222441-4-4-2-2221112222-2-2-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000
χ68444-4-4-2-2-4-444-2-22222-4-4144-2-2221112222-2-2-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ6944-44-44-24-44-44-2442200-200-424-422-2-22-4-2-22-2-2224-40000-2200000000-22000000000000000000000000000000000000
χ7044-44-44-2-44-444-2-4-4-2-200-200-424-422-2-22422-222-2-2-440000-22000000002-2000000000000000000000000000000000000
χ7144-44-4-244-44-4-24-2-2-4-400-2002-4-2222-24-4244-4-2-222-220000-2200000000-22000000000000000000000000000000000000
χ7244-44-4-24-44-44-24224400-2002-4-2222-24-4-2-4-4422-2-22-20000-22000000002-2000000000000000000000000000000000000
χ7344-44-4-2-24-44-4-2-2-2-2220010022-22-1-11-222-2-2211-1-1-2200001-13-33-300001-13-33-300000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-2-2220010022-22-1-11-222-2-2211-1-1-2200001-1-33-3300001-1-33-3300000000000000000000000000000000
χ7544-44-4-2-2-44-44-2-222-2-20010022-22-1-11-22-222-2-1-1112-200001-13-3-330000-11-333-300000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-222-2-20010022-22-1-11-22-222-2-1-1112-200001-1-333-30000-113-3-3300000000000000000000000000000000
χ7744-4-444-24-4-444-2442200-200-42-4422-22-2-4-22-2-2-222-4400002-2000000002-2000000000000000000000000000000000000
χ7844-4-444-2-444-44-2-4-4-2-200-200-42-4422-22-242-2222-2-24-400002-200000000-22000000000000000000000000000000000000
χ7944-4-44-244-4-44-24-2-2-4-400-2002-42-222-2-4424-44-2-2222-200002-2000000002-2000000000000000000000000000000000000
χ8044-4-44-24-444-4-24224400-2002-42-222-2-44-2-44-422-2-2-2200002-200000000-22000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-22200100222-2-1-112-22-22-211-1-12-20000-113-3-330000-113-3-3300000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-22200100222-2-1-112-22-22-211-1-12-20000-11-333-30000-11-333-300000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-200100222-2-1-112-2-22-22-1-111-220000-113-33-300001-1-33-3300000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-200100222-2-1-112-2-22-22-1-111-220000-11-33-3300001-13-33-300000000000000000000000000000000
χ858-8000880000-8-8000000800000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−4300-40000000040000000043−43000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−434300-400000000400000000−4343000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−430000-400000000400000043−4300000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−43430000-4000000004000000−434300000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−430020000006-6-2000000−2323−2323000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−4343002000000-66-2000000−232323−23000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−43002000000-66-200000023−23−2323000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−43430020000006-6-200000023−2323−23000000000000000000000000000000000000000000000000000000

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