Finite Group Databasebeta

← Group #11876982

Character table — Group #11876982

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order1222334466666636668812121212242424244444444422666612122424242424248888121212121212121224242424666666224412121212242424886644
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
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
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
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-11-11-111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-11-11-1-111-1-111-1-1-11-11
χ11111111111111111111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-1-11-1-11111-1-1111-1-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-111-111-1-111-1-111-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-111-111-1-1-1-1-1-111-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1111-1-11-1-111-1-1-1-1111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-11-11-1-1111111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1111-11-111-1-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-222-2-2000000-2-2000000000022-2-222-2-2000000000000000000002-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-222000000-2-2000000000022-2-2-2-22200000000000000000000-22000000
χ19222222-2-2222222222200-2-2-2-20000-2-22222-2-2000000-2-20000000000-2-22222-2-200000000000000000000-22000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-222000000-2-20000000000-2-222-2-222000000000000000000002-2000000
χ2122222-1222-1-1-122-1-1-1-1222-12-1-1-1-1-122220000222222-1-122-1-1-1-12200-1-1-1-10000-1-1-1-1-1-1-1-1-1-122000000000000-1-100
χ2222222-1222-1-1-122-1-1-1-1222-12-1-1-1-1-122220000-2-2-2-2-2-2-1-122-1-1-1-12200-1-1-1-10000-1-1-1-1111111-2-20000000000001100
χ2322222-1222-1-1-122-1-1-1-1222-12-1-1-1-1-1-2-2-2-20000222222-1-122-1-1-1-1-2-200111100001111-1-1-1-1-1-1-2-20000000000001100
χ2422222-1222-1-1-122-1-1-1-1222-12-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-1-122-1-1-1-1-2-20011110000111111111122000000000000-1-100
χ2522222-1222-1-1-122-1-1-1-1-2-22-12-11111222200002-222-2-2-1-1-2-21111-2-200-1-1-1-100001111-11-1-1112-2000000000000-1100
χ2622222-1222-1-1-122-1-1-1-1-2-22-12-1111122220000-22-2-222-1-1-2-21111-2-200-1-1-1-1000011111-111-1-1-220000000000001-100
χ2722222-1222-1-1-122-1-1-1-1-2-22-12-11111-2-2-2-200002-222-2-2-1-1-2-21111220011110000-1-1-1-1-11-1-111-220000000000001-100
χ2822222-1222-1-1-122-1-1-1-1-2-22-12-11111-2-2-2-20000-22-2-222-1-1-2-21111220011110000-1-1-1-11-111-1-12-2000000000000-1100
χ292222-1222-1222-1-1-1-1-1-122-12-1222220000222222-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-1000022-1-1-1-10022-1-1-1-1-1-100000000
χ302222-1222-1222-1-1-1-1-1-122-12-12222200002222-2-21111-1-1-1-1-1-1-1-100220000-1-1-1-10000-2-2111100-2-21111-1-100000000
χ312222-1222-1222-1-1-1-1-1-122-12-1222220000-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-200001111000022-1-1-1-100-2-211111100000000
χ322222-1222-1222-1-1-1-1-1-122-12-1222220000-2-2-2-2-2-21111-1-1-1-1-1-1-1-100-2-2000011110000-2-211110022-1-1-1-11100000000
χ332222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-2-2-2000022222-2-1-111-1-111111100-2-20000-1-1-1-100002-2-1-111002-2-1-1111100000000
χ342222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-2-2-200002222-2211-1-1-1-111111100-2-20000-1-1-1-10000-2211-1-100-2211-1-11100000000
χ352222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-2-2-20000-2-2-2-22-2-1-111-1-111111100220000111100002-2-1-11100-2211-1-1-1-100000000
χ362222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-2-2-20000-2-2-2-2-2211-1-1-1-11111110022000011110000-2211-1-1002-2-1-111-1-100000000
χ3722-2-2222-222-2-2-2-22-2-2200-2-222000000002i−2i2i−2i0000002-20000002-20000002i−2i2i−2i22-2-20000000000000000002i−2i0000
χ3822-2-2222-222-2-2-2-22-2-2200-2-222000000002i−2i2i−2i0000002-2000000-220000002i−2i2i−2i-2-222000000000000000000−2i2i0000
χ3922-2-2222-222-2-2-2-22-2-2200-2-22200000000−2i2i−2i2i0000002-20000002-2000000−2i2i−2i2i22-2-2000000000000000000−2i2i0000
χ4022-2-2222-222-2-2-2-22-2-2200-2-22200000000−2i2i−2i2i0000002-2000000-22000000−2i2i−2i2i-2-2220000000000000000002i−2i0000
χ4122-2-222-2222-2-2-2-22-2-222-222-2-222-2-200002i−2i−2i2i000000-222-222-2-2002i−2i00002i−2i−2i2i0000000000000000002i−2i00000000
χ4222-2-222-2222-2-2-2-22-2-222-222-2-222-2-20000−2i2i2i−2i000000-222-222-2-200−2i2i0000−2i2i2i−2i000000000000000000−2i2i00000000
χ4322-2-222-2222-2-2-2-22-2-22-2222-2-2-2-22200002i−2i−2i2i000000-22-22-2-22200−2i2i00002i−2i−2i2i000000000000000000−2i2i00000000
χ4422-2-222-2222-2-2-2-22-2-22-2222-2-2-2-2220000−2i2i2i−2i000000-22-22-2-222002i−2i0000−2i2i2i−2i0000000000000000002i−2i00000000
χ4522-2-2-12-22-12-2-211-111-12-2-121-222-2-200002i−2i−2i2i00−i3i3−i3i31-1-11-1-111002i−2i0000−iii−i000000−i3i3−i3i300003−33−3−ii00000000
χ4622-2-2-12-22-12-2-211-111-12-2-121-222-2-200002i−2i−2i2i00i3−i3i3−i31-1-11-1-111002i−2i0000−iii−i000000i3−i3i3−i30000−33−33−ii00000000
χ4722-2-2-12-22-12-2-211-111-12-2-121-222-2-20000−2i2i2i−2i00−i3i3−i3i31-1-11-1-11100−2i2i0000i−i−ii000000−i3i3−i3i30000−33−33i−i00000000
χ4822-2-2-12-22-12-2-211-111-12-2-121-222-2-20000−2i2i2i−2i00i3−i3i3−i31-1-11-1-11100−2i2i0000i−i−ii000000i3−i3i3−i300003−33−3i−i00000000
χ4922-2-2-12-22-12-2-211-111-1-22-121-2-2-22200002i−2i−2i2i00−i3i3i3−i31-11-111-1-100−2i2i0000−iii−i000000−i3i3i3−i300003−3−33i−i00000000
χ5022-2-2-12-22-12-2-211-111-1-22-121-2-2-22200002i−2i−2i2i00i3−i3−i3i31-11-111-1-100−2i2i0000−iii−i000000i3−i3−i3i30000−333−3i−i00000000
χ5122-2-2-12-22-12-2-211-111-1-22-121-2-2-2220000−2i2i2i−2i00−i3i3i3−i31-11-111-1-1002i−2i0000i−i−ii000000−i3i3i3−i30000−333−3−ii00000000
χ5222-2-2-12-22-12-2-211-111-1-22-121-2-2-2220000−2i2i2i−2i00i3−i3−i3i31-11-111-1-1002i−2i0000i−i−ii000000i3−i3−i3i300003−3−33−ii00000000
χ5344444-2-4-44-2-2-244-2-2-2-200-42-42000044-4-40000000000220000000000-2-22200000000000000000000000000000000
χ5444444-2-4-44-2-2-244-2-2-2-200-42-420000-4-444000000000022000000000022-2-200000000000000000000000000000000
χ554444-24-4-4-2444-2-2-2-2-2-2002-42-40000000044-4-40000002200000000000000-2-2220000000000000000000000000000
χ564444-24-4-4-2444-2-2-2-2-2-2002-42-400000000-4-444000000220000000000000022-2-20000000000000000000000000000
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
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-2221122-1-1-1-10000000000000000-2211-1-1000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-4422-2-21122-1-1-1-100000000000000002-2-1-111000000000000000000
χ6144-4-44-24-44-222-4-4-222-200-424-2000000000000000000-220000004-40000000000-2-222000000000000000000000000
χ6244-4-44-24-44-222-4-4-222-200-424-2000000000000000000-22000000-44000000000022-2-2000000000000000000000000
χ6344-4-44-2-444-222-4-4-222-24-44-2-42-2-222000000000000002-24-4-2-2220000000000000000000000000000000000000000
χ6444-4-44-2-444-222-4-4-222-2-444-2-4222-2-2000000000000002-2-4422-2-20000000000000000000000000000000000000000
χ6544-4-4-244-4-24-4-422-222-2002-4-24000000004i−4i4i−4i000000-2200000000000000−2i2i−2i2i0000000000000000000000000000
χ6644-4-4-244-4-24-4-422-222-2002-4-2400000000−4i4i−4i4i000000-22000000000000002i−2i2i−2i0000000000000000000000000000
χ6744-4-4-2-2-44-2-222221-1-114-4-2-222-2-2220000000000−2i32i3−2i32i3-11-2211-1-1000000000000000000i3−i3i3−i3000000000000000000
χ6844-4-4-2-2-44-2-222221-1-114-4-2-222-2-22200000000002i3−2i32i3−2i3-11-2211-1-1000000000000000000−i3i3−i3i3000000000000000000
χ6944-4-4-2-2-44-2-222221-1-11-44-2-22222-2-20000000000−2i32i32i3−2i3-112-2-1-111000000000000000000i3−i3−i3i3000000000000000000
χ7044-4-4-2-2-44-2-222221-1-11-44-2-22222-2-200000000002i3−2i3−2i32i3-112-2-1-111000000000000000000−i3i3i3−i3000000000000000000
χ714-44-44400-4-44-44-444-4-40000000000004-40000000000000000000000004-400000000000000000000000000000000
χ724-44-44400-4-44-44-444-4-4000000000000-44000000000000000000000000-4400000000000000000000000000000000
χ734-44-44-200-42-224-4-2-222000000i6−i6i6−i6004-400000000000000i6−i6i6−i6000000-220000i6−i6i6−i6000000000000000000000000
χ744-44-44-200-42-224-4-2-222000000i6−i6i6−i600-4400000000000000i6−i6i6−i60000002-20000−i6i6−i6i6000000000000000000000000
χ754-44-44-200-42-224-4-2-222000000−i6i6−i6i6004-400000000000000−i6i6−i6i6000000-220000−i6i6−i6i6000000000000000000000000
χ764-44-44-200-42-224-4-2-222000000−i6i6−i6i600-4400000000000000−i6i6−i6i60000002-20000i6−i6i6−i6000000000000000000000000
χ774-4-444400-4-4-44-444-44-400000000004-40000000000000000000000004-40000000000000000000000000000000000
χ784-4-444400-4-4-44-444-44-40000000000-44000000000000000000000000-440000000000000000000000000000000000
χ794-4-444-200-422-2-44-22-22000000i6−i6−i6i64-40000000000000000i6−i6−i6i60000-22000000i6−i6−i6i6000000000000000000000000
χ804-4-444-200-422-2-44-22-22000000i6−i6−i6i6-440000000000000000i6−i6−i6i600002-2000000−i6i6i6−i6000000000000000000000000
χ814-4-444-200-422-2-44-22-22000000−i6i6i6−i64-40000000000000000−i6i6i6−i60000-22000000−i6i6i6−i6000000000000000000000000
χ824-4-444-200-422-2-44-22-22000000−i6i6i6−i6-440000000000000000−i6i6i6−i600002-2000000i6−i6−i6i6000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-8-4-48-8-4-444442-2-220044-4-40000000000000000002-20000000000000000000000000000000000000000000000
χ858-88-8-48004-88-8-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-4422-2-20000002i6−2i62i6−2i6000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ878-88-8-4-40044-44-4422-2-2000000−2i62i6−2i62i6000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ888-8-88-48004-8-884-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-42-22-20000002i6−2i6−2i62i6000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ908-8-88-4-400444-44-42-22-2000000−2i62i62i6−2i6000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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