Finite Group Databasebeta

← Group #11867781

Character table — Group #11867781

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order122233446666663666881212121224242424224488884412121212121224242424242424666688121212122424242412121212121244441212121224242488121224
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
χ311111111111111111111111111111111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
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
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-111-1-11-11-111-1-1-1-1-1-1111-11-1
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-111-11-11-1-111-1-1-1-111-11-11
χ11111111111111111111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-11-111-1-11-1-1111-1-1-1-111-1-1-11-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-111-1-1-111-1-111-1-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-1-1-1111111-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1111-1-11111-1-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-111-1-1-11-11-1-11111-1-111-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-11-1-1111-11-111-1-111-1-1111-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-20000000000-2-20000002-2222200-2-2-2-200000000000000000000-22000000
χ18222222-2-2222222222200-2-2-2-2000022-2-20000000000-2-2000000-2222-2-200-2-222000000000000000000002-2000000
χ19222222-2-2222222222200-2-2-2-20000-2-2220000000000-2-20000002-2-2-2220022-2-2000000000000000000002-2000000
χ20222222-2-2222222222200-2-2-2-20000-2-2220000000000-2-2000000-22-2-2-2-200222200000000000000000000-22000000
χ2122222-12222-1-1-12-1-1-1-122-12-1222222222000022-1-1-1-1-1-1-1-1-1-1-1-100-1-10022-1-100000022-1-1-1-12200-1-1-1-1-1-100000000
χ2222222-12222-1-1-12-1-1-1-122-12-12222222220000-2-21111-1-1-1-1-1-1-1-100-1-10022-1-1000000-2-21111-2-2001111-1-100000000
χ2322222-12222-1-1-12-1-1-1-122-12-122222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1001100-2-21100000022-1-1-1-1-2-20011111100000000
χ2422222-12222-1-1-12-1-1-1-122-12-122222-2-2-2-20000-2-21111-1-1-1-1-1-1-1-1001100-2-211000000-2-211112200-1-1-1-11100000000
χ2522222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-2222200002-2-1-111-1-111111100-1-100-2-2-1-10000002-2-1-1112-200-1-1111100000000
χ2622222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-222220000-2211-1-1-1-111111100-1-100-2-2-1-1000000-2211-1-1-220011-1-11100000000
χ2722222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-2-2-2-2-200002-2-1-111-1-111111100110022110000002-2-1-111-220011-1-1-1-100000000
χ2822222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-2-2-2-2-20000-2211-1-1-1-11111110011002211000000-2211-1-12-200-1-111-1-100000000
χ292222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-100002222222222-1-122-1-1-1-12200-1-10000-1-1-1-1-1-1-1-1-1-1-1-100220000000000-1-100
χ302222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-100002222-2-2-2-2-2-2-1-122-1-1-1-12200-1-10000-1-1-1-1-1-111111100-2-200000000001100
χ312222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-10000-2-2-2-2222222-1-122-1-1-1-1-2-200110000111111-1-1-1-1-1-100-2-200000000001100
χ322222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-2-20011000011111111111100220000000000-1-100
χ332222-1222-1-1222-1-1-1-1-1-2-22-12-11111000022222-222-2-2-1-1-2-21111-2-20011000011-1-1-1-1-11-1-111002-20000000000-1100
χ342222-1222-1-1222-1-1-1-1-1-2-22-12-1111100002222-22-2-222-1-1-2-21111-2-20011000011-1-1-1-11-111-1-100-2200000000001-100
χ352222-1222-1-1222-1-1-1-1-1-2-22-12-111110000-2-2-2-22-222-2-2-1-1-2-211112200-1-10000-1-11111-11-1-11100-2200000000001-100
χ362222-1222-1-1222-1-1-1-1-1-2-22-12-111110000-2-2-2-2-22-2-222-1-1-2-211112200-1-10000-1-111111-111-1-1002-20000000000-1100
χ372-2-22222-2-2-22-2-222-22-20022-2-200002-22-22i2i−2i−2i0000002-2000000002-200002-2002i2i−2i−2i0000000000000000002i−2i0000
χ382-2-22222-2-2-22-2-222-22-20022-2-200002-22-2−2i−2i2i2i0000002-2000000002-200002-200−2i−2i2i2i000000000000000000−2i2i0000
χ392-2-22222-2-2-22-2-222-22-20022-2-20000-22-222i2i−2i−2i0000002-200000000-220000-22002i2i−2i−2i000000000000000000−2i2i0000
χ402-2-22222-2-2-22-2-222-22-20022-2-20000-22-22−2i−2i2i2i0000002-200000000-220000-2200−2i−2i2i2i0000000000000000002i−2i0000
χ412-2-2222-22-2-22-2-222-22-22-2-2-22222-2-22-2-220000000000-222-222-2-2002-2002-2-22000000000000000000002-200000000
χ422-2-2222-22-2-22-2-222-22-22-2-2-22222-2-2-222-20000000000-222-222-2-200-2200-222-200000000000000000000-2200000000
χ432-2-2222-22-2-22-2-222-22-2-22-2-222-2-2222-2-220000000000-22-22-2-222002-200-22-2200000000000000000000-2200000000
χ442-2-2222-22-2-22-2-222-22-2-22-2-222-2-222-222-20000000000-22-22-2-22200-22002-22-2000000000000000000002-200000000
χ452-2-222-1-22-2-2-1112-11-112-21-2-1222-2-22-2-220000003−33−31-1-11-1-11100-11002-21-1000000003−33−300003−33−3-1100000000
χ462-2-222-1-22-2-2-1112-11-112-21-2-1222-2-22-2-22000000−33−331-1-11-1-11100-11002-21-100000000−33−330000−33−33-1100000000
χ472-2-222-1-22-2-2-1112-11-112-21-2-1222-2-2-222-20000003−33−31-1-11-1-111001-100-22-11000000003−33−30000−33−331-100000000
χ482-2-222-1-22-2-2-1112-11-112-21-2-1222-2-2-222-2000000−33−331-1-11-1-111001-100-22-1100000000−33−3300003−33−31-100000000
χ492-2-222-1-22-2-2-1112-11-11-221-2-12-2-2222-2-220000003−3−331-11-111-1-100-1100-221-1000000003−3−3300003−3−331-100000000
χ502-2-222-1-22-2-2-1112-11-11-221-2-12-2-2222-2-22000000−333−31-11-111-1-100-1100-221-100000000−333−30000−333−31-100000000
χ512-2-222-1-22-2-2-1112-11-11-221-2-12-2-222-222-20000003−3−331-11-111-1-1001-1002-2-11000000003−3−330000−333−3-1100000000
χ522-2-222-1-22-2-2-1112-11-11-221-2-12-2-222-222-2000000−333−31-11-111-1-1001-1002-2-1100000000−333−300003−3−33-1100000000
χ5344444-2-4-444-2-2-24-2-2-2-2002-42-4000044-4-400000000002200000000-2-2000022000000000000000000000000000000
χ5444444-2-4-444-2-2-24-2-2-2-2002-42-40000-4-44400000000002200000000220000-2-2000000000000000000000000000000
χ554444-24-4-4-2-2444-2-2-2-2-200-42-42000000000000000000220000004-400-2-20000220000000000000000000000000000
χ564444-24-4-4-2-2444-2-2-2-2-200-42-4200000000000000000022000000-4400220000-2-20000000000000000000000000000
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
χ6144-4-444004-4-44-4-444-4-40000000000000022−2222−220000000000000000000000000022−2222−22000000000000000000000000
χ6244-4-444004-4-44-4-444-4-400000000000000−2222−222200000000000000000000000000−2222−2222000000000000000000000000
χ6344-4-4-2400-22-44-42-2-222000000i6−i6i6−i6000022−2222−220000000000i6−i6i6−i60000−2i32i3000000−22−22000000000000000000000000
χ6444-4-4-2400-22-44-42-2-222000000i6−i6i6−i60000−2222−22220000000000i6−i6i6−i600002i3−2i30000002−22−2000000000000000000000000
χ6544-4-4-2400-22-44-42-2-222000000−i6i6−i6i6000022−2222−220000000000−i6i6−i6i600002i3−2i3000000−22−22000000000000000000000000
χ6644-4-4-2400-22-44-42-2-222000000−i6i6−i6i60000−2222−22220000000000−i6i6−i6i60000−2i32i30000002−22−2000000000000000000000000
χ674-44-44400-44-4-44-44-4-4400000000000000−2i22i22i2−2i200000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ684-44-44400-44-4-44-44-4-44000000000000002i2−2i2−2i22i2000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ694-44-4-24002-2-4-442-222-2000000i6−i6−i6i60000−2i22i22i2−2i20000000000i6−i6−i6i6000000000023−23i2−i2−i2i2000000000000000000000000
χ704-44-4-24002-2-4-442-222-2000000i6−i6−i6i600002i2−2i2−2i22i20000000000i6−i6−i6i60000000000−2323−i2i2i2−i2000000000000000000000000
χ714-44-4-24002-2-4-442-222-2000000−i6i6i6−i60000−2i22i22i2−2i20000000000−i6i6i6−i60000000000−2323i2−i2−i2i2000000000000000000000000
χ724-44-4-24002-2-4-442-222-2000000−i6i6i6−i600002i2−2i2−2i22i20000000000−i6i6i6−i6000000000023−23−i2i2i2−i2000000000000000000000000
χ734-4-444-24-4-4-4-2224-22-2200-242-400004-44-40000000000-2200000000-220000-22000000000000000000000000000000
χ744-4-444-24-4-4-4-2224-22-2200-242-40000-44-440000000000-22000000002-200002-2000000000000000000000000000000
χ754-4-44-244-4224-4-4-2-22-22004-2-42000000004i4i−4i−4i000000-22000000000000000000−2i−2i2i2i000000000000000000000000
χ764-4-44-244-4224-4-4-2-22-22004-2-4200000000−4i−4i4i4i000000-220000000000000000002i2i−2i−2i000000000000000000000000
χ774-4-44-24-44224-4-4-2-22-224-4-424-2-2-222000000000000002-24-4-2-2220000000000000000000000000000000000000000
χ784-4-44-24-44224-4-4-2-22-22-44-424-222-2-2000000000000002-2-4422-2-20000000000000000000000000000000000000000
χ794-4-44-2-2-4422-222-21-11-14-422-2-2-2-222000000000023−2323−23-11-2211-1-1000000000000000000−33−33000000000000000000
χ804-4-44-2-2-4422-222-21-11-14-422-2-2-2-2220000000000−2323−2323-11-2211-1-10000000000000000003−33−3000000000000000000
χ814-4-44-2-2-4422-222-21-11-1-4422-2-222-2-2000000000023−23−2323-112-2-1-111000000000000000000−333−3000000000000000000
χ824-4-44-2-2-4422-222-21-11-1-4422-2-222-2-20000000000−232323−23-112-2-1-1110000000000000000003−3−33000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-88-4008-84-44-8-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-444-44422-2-20000002i6−2i62i6−2i6000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ8688-8-8-4-400-444-44422-2-2000000−2i62i6−2i62i6000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ878-88-88-400-8844-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-444-442-2-220000002i6−2i6−2i62i6000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ898-88-8-4-4004-444-442-2-22000000−2i62i62i6−2i6000000000000000000i6−i6−i6i60000000000000000000000000000000000000000
χ908-8-88-4-48-844-444-42-22-200-4-4440000000000000000002-20000000000000000000000000000000000000000000000

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