Finite Group Databasebeta

← Group #11876927

Character table — Group #11876927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666366688121212124444441212121212122424242424242424248888121212121212121212124444244461212121212242424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-1-1-11-1-11-1-111-1-1-1-111111-1-11
χ11111111111111111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1111111-1-111-1-111-1-1-1-1-1-11-1-11
χ12111111111111111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-111-1
χ13111111111111111111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-1-1-1-111-111-1-11111-1-111-11-11
χ14111111111111111111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111111-1-1-1-1-1-1111111-1-11-11-1
χ15111111111111111111-1-11111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-1-1-11-1-111111-1-111-1-1111-11-1
χ16111111111111111111-1-11111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-111-1-11111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-2000022-2-200000022-2-200002-200000000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22000022-2-2000000-2-2220000-2200000000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-20000-2-222000000-2-22200002-200000000000000
χ20222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-220000-2-22200000022-2-20000-2200000000000000
χ2122222-122-12-1-122-1-1-1-122-122-10000222222-1-122-1-1-1-1-1-12222000000-1-1-1-1-1-100002020-1-1000000-1-100-1-100
χ2222222-122-12-1-122-1-1-1-122-122-10000222222-1-122-1-1-1-1-1-1-2-2-2-2000000-1-1-1-1-1-10000-20-201100000011001100
χ2322222-122-12-1-122-1-1-1-122-122-10000-2-2-2-2-2-2-1-122-1-1-1-1-1-122220000001111110000-20-20-1-1000000-1-1001100
χ2422222-122-12-1-122-1-1-1-122-122-10000-2-2-2-2-2-2-1-122-1-1-1-1-1-1-2-2-2-200000011111100002020110000001100-1-100
χ2522222-122-12-1-122-1-1-1-1-2-2-122-100002-2-2-222-1-1-2-211111122-2-2000000-1111-1-10000-2020-1-100000011001-100
χ2622222-122-12-1-122-1-1-1-1-2-2-122-100002-2-2-222-1-1-2-2111111-2-222000000-1111-1-1000020-2011000000-1-100-1100
χ2722222-122-12-1-122-1-1-1-1-2-2-122-10000-2222-2-2-1-1-2-211111122-2-20000001-1-1-111000020-20-1-10000001100-1100
χ2822222-122-12-1-122-1-1-1-1-2-2-122-10000-2222-2-2-1-1-2-2111111-2-2220000001-1-1-1110000-202011000000-1-1001-100
χ292222-12222-122-1-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000022-1-1-1-122-1-1-1-10000020200-1-1-1-1-1-100000000
χ302222-12222-122-1-1-1-1-1-1222-1-122222-2-21111-1-1-1-122-1-1-1-1000022-1-1-1-1-2-2111100000-20-2001111-1-100000000
χ312222-12222-122-1-1-1-1-1-1222-1-12-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-10000-2-2111122-1-1-1-100000-20-20011111100000000
χ322222-12222-122-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111-1-1-1-122-1-1-1-10000-2-21111-2-211110000020200-1-1-1-11100000000
χ332222-12222-122-1-1-1-1-1-1-2-22-1-1222222-211-1-1-1-111-2-211110000-2-2-1-1-1-12-211-1-100000-20200-1-1111100000000
χ342222-12222-122-1-1-1-1-1-1-2-22-1-122222-22-1-111-1-111-2-211110000-2-2-1-1-1-1-22-1-1110000020-20011-1-11100000000
χ352222-12222-122-1-1-1-1-1-1-2-22-1-12-2-2-2-22-211-1-1-1-111-2-2111100002211112-211-1-10000020-20011-1-1-1-100000000
χ362222-12222-122-1-1-1-1-1-1-2-22-1-12-2-2-2-2-22-1-111-1-111-2-211110000221111-22-1-11100000-20200-1-111-1-100000000
χ3722-2-2222-2-2-22-22-22-2-2200-22-222i−2i2i−2i000000-2200000000002-2002i−2i2i−2i00000000000000000000002-22i−2i0000
χ3822-2-2222-2-2-22-22-22-2-2200-22-222i−2i2i−2i000000-220000000000-22002i−2i2i−2i0000000000000000000000-22−2i2i0000
χ3922-2-2222-2-2-22-22-22-2-2200-22-22−2i2i−2i2i000000-2200000000002-200−2i2i−2i2i00000000000000000000002-2−2i2i0000
χ4022-2-2222-2-2-22-22-22-2-2200-22-22−2i2i−2i2i000000-220000000000-2200−2i2i−2i2i0000000000000000000000-222i−2i0000
χ4122-2-222-22-2-22-22-22-2-222i−2i2-22-22i−2i−2i2i0000002-22i−2i2i−2i2i2i−2i−2i00002-22i−2i−2i2i000000000000000000002-200000000
χ4222-2-222-22-2-22-22-22-2-222i−2i2-22-2−2i2i2i−2i0000002-22i−2i2i−2i2i2i−2i−2i0000-22−2i2i2i−2i00000000000000000000-2200000000
χ4322-2-222-22-2-22-22-22-2-22−2i2i2-22-22i−2i−2i2i0000002-2−2i2i−2i2i−2i−2i2i2i0000-222i−2i−2i2i00000000000000000000-2200000000
χ4422-2-222-22-2-22-22-22-2-22−2i2i2-22-2−2i2i2i−2i0000002-2−2i2i−2i2i−2i−2i2i2i00002-2−2i2i2i−2i000000000000000000002-200000000
χ4522-2-2-12-22-212-2-11-111-12i−2i21-1-22i−2i−2i2i003−3−i3i3-11−ii2i−2i−i−iii00002-2−iii−i003−3−i3i300000000003−3−i3i3-1100000000
χ4622-2-2-12-22-212-2-11-111-12i−2i21-1-22i−2i−2i2i00−33i3−i3-11−ii2i−2i−i−iii00002-2−iii−i00−33i3−i30000000000−33i3−i3-1100000000
χ4722-2-2-12-22-212-2-11-111-12i−2i21-1-2−2i2i2i−2i003−3−i3i3-11−ii2i−2i−i−iii0000-22i−i−ii003−3−i3i30000000000−33i3−i31-100000000
χ4822-2-2-12-22-212-2-11-111-12i−2i21-1-2−2i2i2i−2i00−33i3−i3-11−ii2i−2i−i−iii0000-22i−i−ii00−33i3−i300000000003−3−i3i31-100000000
χ4922-2-2-12-22-212-2-11-111-1−2i2i21-1-22i−2i−2i2i003−3i3−i3-11i−i−2i2iii−i−i0000-22−iii−i003−3i3−i30000000000−33−i3i31-100000000
χ5022-2-2-12-22-212-2-11-111-1−2i2i21-1-22i−2i−2i2i00−33−i3i3-11i−i−2i2iii−i−i0000-22−iii−i00−33−i3i300000000003−3i3−i31-100000000
χ5122-2-2-12-22-212-2-11-111-1−2i2i21-1-2−2i2i2i−2i003−3i3−i3-11i−i−2i2iii−i−i00002-2i−i−ii003−3i3−i300000000003−3i3−i3-1100000000
χ5222-2-2-12-22-212-2-11-111-1−2i2i21-1-2−2i2i2i−2i00−33−i3i3-11i−i−2i2iii−i−i00002-2i−i−ii00−33−i3i30000000000−33−i3i3-1100000000
χ5344444-2-4-4-24-2-244-2-2-2-2002-4-42000000000022000000004-40000000000000000000000-2200000000000000
χ5444444-2-4-4-24-2-244-2-2-2-2002-4-4200000000002200000000-4400000000000000000000002-200000000000000
χ554444-24-4-44-244-2-2-2-2-2-200-422-444-4-40000002200000000000000-2-222000000000000000000000000000000
χ564444-24-4-44-244-2-2-2-2-2-200-422-4-4-444000000220000000000000022-2-2000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-422-2-2112222-1-1-1-10000000000-22-1-111000000000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-44-2-222112222-1-1-1-100000000002-211-1-1000000000000000000000000
χ6144-4-44-24-42-4-224-4-222-20024-4-200000000002-200000000004-40000000000000000000000000000-22000000
χ6244-4-44-24-42-4-224-4-222-20024-4-200000000002-20000000000-4400000000000000000000000000002-2000000
χ6344-4-44-2-442-4-224-4-222-24i−4i-2-4420000000000-224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ6444-4-44-2-442-4-224-4-222-2−4i4i-2-4420000000000-22−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ6544-4-4-244-4-424-4-22-222-200-4-2244i−4i4i−4i0000002-200000000000000−2i2i−2i2i000000000000000000000000000000
χ6644-4-4-244-4-424-4-22-222-200-4-224−4i4i−4i4i0000002-2000000000000002i−2i2i−2i000000000000000000000000000000
χ6744-4-4-2-2-4422-22-221-1-114i−4i-22-2200000023−23−2i32i31-1−2i2i−2i2iii−i−i000000000000−33i3−i3000000000000000000000000
χ6844-4-4-2-2-4422-22-221-1-114i−4i-22-22000000−23232i3−2i31-1−2i2i−2i2iii−i−i0000000000003−3−i3i3000000000000000000000000
χ6944-4-4-2-2-4422-22-221-1-11−4i4i-22-2200000023−232i3−2i31-12i−2i2i−2i−i−iii000000000000−33−i3i3000000000000000000000000
χ7044-4-4-2-2-4422-22-221-1-11−4i4i-22-22000000−2323−2i32i31-12i−2i2i−2i−i−iii0000000000003−3i3−i3000000000000000000000000
χ714-44-44400-44-44-4-44-44-4000000000000000000000000000000000000000000004i−4i00000000000000000000
χ724-44-44400-44-44-4-44-44-400000000000000000000000000000000000000000000−4i4i00000000000000000000
χ734-4-4444004-4-4-4-4444-4-40000000000000000000000000000000000000000004i−4i0000000000000000000000
χ744-4-4444004-4-4-4-4444-4-4000000000000000000000000000000000000000000−4i4i0000000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7688-8-8-4-48-844-44-442-2-22004-44-40000000000-22000000000000000000000000000000000000000000000000
χ778-88-88-400484-4-8-8-44-44000000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-8-4-8844-44-44000000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-4442-22-20000000000000000000000−3i23i2−3i23i20000000000000000000000000000000000000000
χ808-88-8-4-4004-44-4442-22-200000000000000000000003i2−3i23i2−3i20000000000000000000000000000000000000000
χ818-8-888-400-4-844-88-4-444000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-480084-8-84-4-4-444000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-44444-422-2-2000000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-400-44444-422-2-20000000000000000000000−323232−320000000000000000000000000000000000000000

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