Finite Group Databasebeta

← Group #11876925

Character table — Group #11876925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order122233446666663666881212121224242424444444444412121212121224242424242488881212121212121212242424241212121212122444121212122424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-111-1-11111111111111111-1-111-1-111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-11-111-1-1-1-111-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-111111111-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-11-11-1-111-1-111-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1111-1-11-1-11111-1-1111-11-1
χ12111111111111111111-1-11111-1-1-1-111-1-111-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-111-111-1-111-1-111-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-1-111-111-111-1-1-1-1-1-111-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-111-1111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111-1111-1-11-1-11-1-111-1-1-1-1111-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-11-11-1-1111111-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-11-11-111-1-11111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-200002222-2-2-2-2000000-2-20000000000-2-2-2-22222000000000000000000002-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-222000000-2-20000000000-2-22222-2-200000000000000000000-22000000
χ19222222-2-2222222222200-2-2-2-20000-2-22222-2-2000000-2-2000000000022-2-2-2-22200000000000000000000-22000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-22222000000-2-200000000002222-2-2-2-2000000000000000000002-2000000
χ2122222-122-12-122-1-1-1-1-122-12-12-1-1-1-122002200222222-1-122-1-1-1-12200-1-100-1-100-1-1-1-1-1-1-1-1-1-122000000000000-1-100
χ2222222-122-12-122-1-1-1-1-122-12-12-1-1-1-122002200-2-2-2-2-2-2-1-122-1-1-1-12200-1-100-1-100-1-1-1-1111111-2-20000000000001100
χ2322222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-200-2-200222222-1-122-1-1-1-1-2-200110011001111-1-1-1-1-1-1-2-20000000000001100
χ2422222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-200-2-200-2-2-2-2-2-2-1-122-1-1-1-1-2-20011001100111111111122000000000000-1-100
χ2522222-122-12-122-1-1-1-1-1-2-2-12-121111220022002-2-2-222-1-1-2-21111-2-200-1-100-1-1001111-1111-1-12-2000000000000-1100
χ2622222-122-12-122-1-1-1-1-1-2-2-12-12111122002200-2222-2-2-1-1-2-21111-2-200-1-100-1-10011111-1-1-111-220000000000001-100
χ2722222-122-12-122-1-1-1-1-1-2-2-12-121111-2-200-2-2002-2-2-222-1-1-2-21111220011001100-1-1-1-1-1111-1-1-220000000000001-100
χ2822222-122-12-122-1-1-1-1-1-2-2-12-121111-2-200-2-200-2222-2-2-1-1-2-21111220011001100-1-1-1-11-1-1-1112-2000000000000-1100
χ292222-12222-12-1-12-1-1-1-1222-12-122220022002222-1-1-1-1-1-1-1-1-1-1-1-1002200-1-100-1-1000022-1-1-1-10022-1-1-1-1-1-100000000
χ302222-12222-12-1-12-1-1-1-1222-12-1222200220022-2-21111-1-1-1-1-1-1-1-1002200-1-100-1-10000-2-2111100-2-21111-1-100000000
χ312222-12222-12-1-12-1-1-1-1222-12-1222200-2-200-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-200110011000022-1-1-1-100-2-211111100000000
χ322222-12222-12-1-12-1-1-1-1222-12-1222200-2-200-2-2-2-21111-1-1-1-1-1-1-1-100-2-2001100110000-2-211110022-1-1-1-11100000000
χ332222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002200222-211-1-1-1-111111100-2-200-1-100-1-100002-211-1-1002-2-1-1111100000000
χ342222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200220022-22-1-111-1-111111100-2-200-1-100-1-10000-22-1-11100-2211-1-11100000000
χ352222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2-200-2-22-211-1-1-1-111111100220011001100002-211-1-100-2211-1-1-1-100000000
χ362222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2-200-2-2-22-1-111-1-11111110022001100110000-22-1-111002-2-1-111-1-100000000
χ3722-2-2222-22-2-22-2-22-2-222i−2i-2-2222i2i−2i−2i002i−2i002i−2i0000002-22i−2i2i2i−2i−2i002-2002i−2i002i−2i0000000000000000002-200000000
χ3822-2-2222-22-2-22-2-22-2-222i−2i-2-2222i2i−2i−2i00−2i2i00−2i2i0000002-22i−2i2i2i−2i−2i00-2200−2i2i00−2i2i000000000000000000-2200000000
χ3922-2-2222-22-2-22-2-22-2-22−2i2i-2-222−2i−2i2i2i002i−2i002i−2i0000002-2−2i2i−2i−2i2i2i00-22002i−2i002i−2i000000000000000000-2200000000
χ4022-2-2222-22-2-22-2-22-2-22−2i2i-2-222−2i−2i2i2i00−2i2i00−2i2i0000002-2−2i2i−2i−2i2i2i002-200−2i2i00−2i2i0000000000000000002-200000000
χ4122-2-222-222-2-22-2-22-2-220022-2-20000002i−2i00−2i2i000000-220000002i−2i0000−2i2i002i−2i2i2i−2i−2i0000000000000000002-20000
χ4222-2-222-222-2-22-2-22-2-220022-2-20000002i−2i00−2i2i000000-22000000−2i2i0000−2i2i002i−2i−2i−2i2i2i000000000000000000-220000
χ4322-2-222-222-2-22-2-22-2-220022-2-2000000−2i2i002i−2i000000-220000002i−2i00002i−2i00−2i2i2i2i−2i−2i000000000000000000-220000
χ4422-2-222-222-2-22-2-22-2-220022-2-2000000−2i2i002i−2i000000-22000000−2i2i00002i−2i00−2i2i−2i−2i2i2i0000000000000000002-20000
χ4522-2-2-122-221-2-11-2-111-12i−2i-212-12i2i−2i−2i002i−2i002i−2i003−3−i3i3-11−ii−i−iii002-200−ii00−ii0000003−3−i3i300003−3−i3i3-1100000000
χ4622-2-2-122-221-2-11-2-111-12i−2i-212-12i2i−2i−2i002i−2i002i−2i00−33i3−i3-11−ii−i−iii002-200−ii00−ii000000−33i3−i30000−33i3−i3-1100000000
χ4722-2-2-122-221-2-11-2-111-12i−2i-212-12i2i−2i−2i00−2i2i00−2i2i003−3−i3i3-11−ii−i−iii00-2200i−i00i−i0000003−3−i3i30000−33i3−i31-100000000
χ4822-2-2-122-221-2-11-2-111-12i−2i-212-12i2i−2i−2i00−2i2i00−2i2i00−33i3−i3-11−ii−i−iii00-2200i−i00i−i000000−33i3−i300003−3−i3i31-100000000
χ4922-2-2-122-221-2-11-2-111-1−2i2i-212-1−2i−2i2i2i002i−2i002i−2i003−3i3−i3-11i−iii−i−i00-2200−ii00−ii0000003−3i3−i30000−33−i3i31-100000000
χ5022-2-2-122-221-2-11-2-111-1−2i2i-212-1−2i−2i2i2i002i−2i002i−2i00−33−i3i3-11i−iii−i−i00-2200−ii00−ii000000−33−i3i300003−3i3−i31-100000000
χ5122-2-2-122-221-2-11-2-111-1−2i2i-212-1−2i−2i2i2i00−2i2i00−2i2i003−3i3−i3-11i−iii−i−i002-200i−i00i−i0000003−3i3−i300003−3i3−i3-1100000000
χ5222-2-2-122-221-2-11-2-111-1−2i2i-212-1−2i−2i2i2i00−2i2i00−2i2i00−33−i3i3-11i−iii−i−i002-200i−i00i−i000000−33−i3i30000−33−i3i3-1100000000
χ5344444-2-4-4-24-244-2-2-2-2-2002-42-400004400-4-4000000002200000000002200-2-2000000000000000000000000000000
χ5444444-2-4-4-24-244-2-2-2-2-2002-42-40000-4-4004400000000220000000000-2-20022000000000000000000000000000000
χ554444-24-4-44-24-2-24-2-2-2-200-42-420000004400-4-4000000220000000000002200-2-20000000000000000000000000000
χ564444-24-4-44-24-2-24-2-2-2-200-42-42000000-4-4004400000022000000000000-2-200220000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-2-2-211-2-211110000000000000000-2-21111000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-4222211-2-21111000000000000000022-1-1-1-1000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-422-2-21122-1-1-1-10000000000000000-22-1-111000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-2221122-1-1-1-100000000000000002-211-1-1000000000000000000
χ6144-4-44-24-4-2-424-42-222-24i−4i2-4-24−2i−2i2i2i00000000000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000
χ6244-4-44-24-4-2-424-42-222-2−4i4i2-4-242i2i−2i−2i00000000000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000
χ6344-4-44-2-44-2-424-42-222-200-242-40000000000000000002-20000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ6444-4-44-2-44-2-424-42-222-200-242-40000000000000000002-2000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ6544-4-4-24-4442-4-22-4-222-2004-2-420000004i−4i00−4i4i0000002-20000000000002i−2i00−2i2i0000000000000000000000000000
χ6644-4-4-24-4442-4-22-4-222-2004-2-42000000−4i4i004i−4i0000002-2000000000000−2i2i002i−2i0000000000000000000000000000
χ6744-4-4-2-24-4-222-2221-1-114i−4i22-2-2−2i−2i2i2i000000000023−23−2i32i31-1−2i2iii−i−i000000000000000000−33i3−i3000000000000000000
χ6844-4-4-2-24-4-222-2221-1-114i−4i22-2-2−2i−2i2i2i0000000000−23232i3−2i31-1−2i2iii−i−i0000000000000000003−3−i3i3000000000000000000
χ6944-4-4-2-24-4-222-2221-1-11−4i4i22-2-22i2i−2i−2i000000000023−232i3−2i31-12i−2i−i−iii000000000000000000−33−i3i3000000000000000000
χ7044-4-4-2-24-4-222-2221-1-11−4i4i22-2-22i2i−2i−2i0000000000−2323−2i32i31-12i−2i−i−iii0000000000000000003−3i3−i3000000000000000000
χ714-44-44400-4-4-4-44444-4-4000000000000004i−4i000000000000000000004i−4i0000000000000000000000000000000000
χ724-44-44400-4-4-4-44444-4-400000000000000−4i4i00000000000000000000−4i4i0000000000000000000000000000000000
χ734-44-44-2002-42-44-2-2-222000000i6−i6i6−i600004i−4i000000000000i6−i6i6−i60000−2i2i0000006−66−6000000000000000000000000
χ744-44-44-2002-42-44-2-2-222000000i6−i6i6−i60000−4i4i000000000000i6−i6i6−i600002i−2i000000−66−66000000000000000000000000
χ754-44-44-2002-42-44-2-2-222000000−i6i6−i6i600004i−4i000000000000−i6i6−i6i60000−2i2i000000−66−66000000000000000000000000
χ764-44-44-2002-42-44-2-2-222000000−i6i6−i6i60000−4i4i000000000000−i6i6−i6i600002i−2i0000006−66−6000000000000000000000000
χ774-4-444400-444-4-4-44-44-400000000004i−4i00000000000000000000000000004i−4i000000000000000000000000000000
χ784-4-444400-444-4-4-44-44-40000000000−4i4i0000000000000000000000000000−4i4i000000000000000000000000000000
χ794-4-444-20024-2-4-42-22-220000006−6−664i−4i00000000000000006−6−6600000000−2i2i00i6−i6−i6i6000000000000000000000000
χ804-4-444-20024-2-4-42-22-220000006−6−66−4i4i00000000000000006−6−66000000002i−2i00−i6i6i6−i6000000000000000000000000
χ814-4-444-20024-2-4-42-22-22000000−666−64i−4i0000000000000000−666−600000000−2i2i00−i6i6i6−i6000000000000000000000000
χ824-4-444-20024-2-4-42-22-22000000−666−6−4i4i0000000000000000−666−6000000002i−2i00i6−i6−i6i6000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-8-4-4-88-444-4442-2-2200-4-444000000000000000000-220000000000000000000000000000000000000000000000
χ858-88-8-4800-84-84-48-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-422-2-20000002i6−2i62i6−2i6000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ878-88-8-4-4004444-4-422-2-2000000−2i62i6−2i62i6000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ888-8-88-4800-8-4844-8-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-4-44442-22-200000026−26−2626000000000000000000−666−60000000000000000000000000000000000000000
χ908-8-88-4-4004-4-44442-22-2000000−262626−260000000000000000006−6−660000000000000000000000000000000000000000

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