Finite Group Databasebeta

← Group #11868123

Character table — Group #11868123

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444661212121236666666661212121212121212121224666666666612121212121212121212224488886688881212242424242424242424242424888822
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
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1
χ9111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-11-11-111-1-11-11-11-11-111-1-111-1-111-1-111-1-11-1
χ10111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-11-11-1-1-1111-11-1-111-111-1-1-1-111-1-111-1-111-11
χ11111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-11-1111-1-1-11-111-1-11-1-11111-1-111-1-1-1-111-11
χ12111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-11-11-1-111-11-11-11-11-1-111-1-111-1-11111-1-11-1
χ13111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-11-1-11-111-1-1-11111-1-1-1-11111-1-1-11
χ14111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1111-1-111-11-1-1-111-1-11111-1-1-1-1111-1
χ15111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-1-111-1-11-1111-1-111-1-1-1-111-1-1111-1
χ16111-1-111-1-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-111-111-11-1-1111-1-1-1-11111-1-111-1-1-11
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ19222222-122222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000-1-12200-1-1-1-1-1-100000000000000
χ20222222-122222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000011-2-20011111100000000000000
χ21222222-122222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-1-2-2-2-211-1-11111-2-211-1-1111122220000-1-1-2-200-1-1111100000000000000
χ22222222-122222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-1-2-2-2-211-1-11111-2-211-1-11111-2-2-2-2000011220011-1-1-1-100000000000000
χ2322222-122222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222000022000000-1-1-1-1-1-1-1-1000000
χ2422222-122222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000-2-200000011111111000000
χ2522222-122222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111000022220000-2-2000000-1-1-1-11111000000
χ2622222-122222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-20000220000001111-1-1-1-1000000
χ2722222-12-2-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200−i3i300-1-1−i3−i3i3i3−i3i30011−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ2822222-12-2-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200−i3i300-1-1−i3−i3i3i3−i3i30011−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ2922222-12-2-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200i3−i300-1-1i3i3−i3−i3i3−i30011i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ3022222-12-2-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200i3−i300-1-1i3i3−i3−i3i3−i30011i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ31222-2-22222-2-222222222-2-22-2-22222-222222-2-2-2000000-2-200000000-2-2000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ32222-2-22222-2-222222222-2-22-2-22222-222222-2-2-2000000-2-200000000-2-200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ33222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-12-222-1-111-1-1-1-1-2-211-1-111112-22-20000-112-200-11-1-11100000000000000
χ34222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-12-222-1-111-1-1-1-1-2-211-1-11111-22-2200001-1-22001-111-1-100000000000000
χ35222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-1-22-2-21111111122-1-1-1-1-1-1-1-12-22-20000-11-2200-1111-1-100000000000000
χ36222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-1-22-2-21111111122-1-1-1-1-1-1-1-1-22-2200001-12-2001-1-1-11100000000000000
χ37222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200−i3i30011−i3−i3i3i3i3−i30011i3i3−i3−i300002i−2i−2i2i000000000000−iii−i3−3−33000000
χ38222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200−i3i30011−i3−i3i3i3i3−i30011i3i3−i3−i30000−2i2i2i−2i000000000000i−i−ii−333−3000000
χ39222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200i3−i30011i3i3−i3−i3−i3i30011−i3−i3i3i300002i−2i−2i2i000000000000−iii−i−333−3000000
χ40222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200i3−i30011i3i3−i3−i3−i3i30011−i3−i3i3i30000−2i2i2i−2i000000000000i−i−ii3−3−33000000
χ41222-2-2-12-2-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-122-2-1-12211-1-1-1-111-2-2-1-11111000022-2-200002-2000000-1-111-1-111000000
χ42222-2-2-12-2-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-122-2-1-12211-1-1-1-111-2-2-1-111110000-2-2220000-2200000011-1-111-1-1000000
χ43222-2-2-12-2-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-12-2211-2-2111111-1-122-1-1-1-1-1-1000022-2-20000-22000000-1-11111-1-1000000
χ44222-2-2-12-2-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-12-2211-2-2111111-1-122-1-1-1-1-1-10000-2-22200002-200000011-1-1-1-111000000
χ4522-22-2222-22-22222-2-22-22-2-22-2-2-22-2-2222-2-22-220000002-2000000002-2000022-2-20000220000-2-2000000000000000000
χ4622-22-2222-22-22222-2-22-22-2-22-2-2-22-2-2222-2-22-220000002-2000000002-20000-2-2220000-2-2000022000000000000000000
χ4722-22-222-22-2222-2-2222-22-2-22-2-2-2222-2-2-222-22-20000002-200000000-22000000000000000000000000000000002-22-200
χ4822-22-222-22-2222-2-2222-22-2-22-2-2-2222-2-2-222-22-20000002-200000000-2200000000000000000000000000000000-22-2200
χ4922-22-22-12-22-22-12211-1-22-21-1111-1-21-1-1-1112-2-10000−i3i3-11−i3i3−i3i300−i3i3-11−i3i3−i3i322-2-20000-1-1000011−i3i3−i3i300000000000000
χ5022-22-22-12-22-22-12211-1-22-21-1111-1-21-1-1-1112-2-10000−i3i3-11−i3i3−i3i300−i3i3-11−i3i3−i3i3-2-2220000110000-1-1i3−i3i3−i300000000000000
χ5122-22-22-12-22-22-12211-1-22-21-1111-1-21-1-1-1112-2-10000i3−i3-11i3−i3i3−i300i3−i3-11i3−i3i3−i322-2-20000-1-1000011i3−i3i3−i300000000000000
χ5222-22-22-12-22-22-12211-1-22-21-1111-1-21-1-1-1112-2-10000i3−i3-11i3−i3i3−i300i3−i3-11i3−i3i3−i3-2-2220000110000-1-1−i3i3−i3i300000000000000
χ5322-2-22222-2-222222-2-22-2-22-2-22-2-22-22222-2-2-22-2000000-2200000000-22000000000000000000000000000000002-2-2200
χ5422-2-22222-2-222222-2-22-2-22-2-22-2-22-22222-2-2-22-2000000-2200000000-2200000000000000000000000000000000-222-200
χ5522-2-2222-222-222-2-2222-2-22-2-22-2-222-2-2-2-2222-22000000-22000000002-200002-2-2200002-20000-22000000000000000000
χ5622-2-2222-222-222-2-2222-2-22-2-22-2-222-2-2-2-2222-22000000-22000000002-20000-222-20000-2200002-2000000000000000000
χ5722-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-121111-1-12-2-10000−i3i31-1−i3i3−i3i300i3−i3-11i3−i3i3−i32-2-220000-1100001-1−i3i3i3−i300000000000000
χ5822-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-121111-1-12-2-10000−i3i31-1−i3i3−i3i300i3−i3-11i3−i3i3−i3-222-200001-10000-11i3−i3−i3i300000000000000
χ5922-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-121111-1-12-2-10000i3−i31-1i3−i3i3−i300−i3i3-11−i3i3−i3i32-2-220000-1100001-1i3−i3−i3i300000000000000
χ6022-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-121111-1-12-2-10000i3−i31-1i3−i3i3−i300−i3i3-11−i3i3−i3i3-222-200001-10000-11−i3i3i3−i300000000000000
χ61444444-2-4-4-4-44-2-4-422-2444-2-2-2-2-2-2-4222222-4-42000000-2-2000000002200000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-21111-2-2-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-21111-2-2-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-222221-2-2-2-2-2-2111222-1-1-1-122200−2i32i30011i3i3−i3−i3−2i32i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2-2-2111222-1-1-1-1222002i3−2i30011−i3−i3i3i32i3−2i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ66444-4-44-244-4-44-244-2-2-24-4-4-222-2-2-242-2-2-2-2-2-4-4200000022000000002200000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2-2-21-222-222111-22-2111122200−2i32i300-1-1i3i3−i3−i32i3−2i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2-2-21-222-222111-22-21111222002i3−2i300-1-1−i3−i3i3i3−2i32i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-222221-222-2221112-22-1-1-1-1-2-2-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-222221-222-2221112-22-1-1-1-1-2-2-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7144-44-44-2-44-444-2-4-4-2-2-2-44-42-2222-24-2222-2-2-442000000-22000000002-200000000000000000000000000000000000000
χ7244-44-4-244-44-4-24-2-2-4-4-22-22-44-422-22-44-2-222-224000000-2200000000-2200000000000000000000000000000000000000
χ7344-44-4-24-44-44-242244-22-22-44-422-2-24-422-2-22-2-4000000-22000000002-200000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-2-22212-222-22-1-1122-211-1-1-22-20000−2i32i31-1i3−i3i3−i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-22212-222-22-1-1122-211-1-1-22-200002i3−2i31-1−i3i3−i3i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-222-2-212-222-22-1-11-2-22-1-1112-220000001-13-3-330000-113-3-330000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-222-2-212-222-22-1-11-2-22-1-1112-220000001-1-333-30000-11-333-30000000000000000000000000000000000
χ7844-4-444-24-4-444-24422-2-4-4422-222-2-4-2-2-2-222-4420000002-2000000002-200000000000000000000000000000000000000
χ7944-4-44-244-4-44-24-2-2-4-4-222-2-4-4422-2244-2-2222-2-40000002-2000000002-200000000000000000000000000000000000000
χ8044-4-44-24-444-4-242244-222-2-4-4422-2-2-4-422-2-2-2240000002-200000000-2200000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-222122-222-2-1-112-2-211-1-12-22000000-113-3-330000-11-333-30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-222122-222-2-1-112-2-211-1-12-22000000-11-333-30000-113-3-330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-2122-222-2-1-11-222-1-111-22-20000−2i32i3-11i3−i3i3−i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-2122-222-2-1-11-222-1-111-22-200002i3−2i3-11−i3i3−i3i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ858-8000880000-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-40000000040000043−4300000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-400000000400000−434300000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-400000000400043−430000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-4000000004000−43430000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−4320000006-6-2000−2323−232300000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−43432000000-66-2000−232323−2300000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−432000000-66-200023−23−232300000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−434320000006-6-200023−2323−2300000000000000000000000000000000000000000000000000000000000

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