Finite Group Databasebeta

← Group #11897555

Character table — Group #11897555

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order1222334466666622223666881212121224242424441212121266666666121224242424242444488121212121212242424246666444481212121212121212242444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111111111111111-111-1-1-1-11111-1-1-1-111111-1-1111111-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111-1-11111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-1-111-1-111-1-1-1-1111-1-1
χ61111111111111111-1-11111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-111-1-11111-1-111-1-1-111
χ71111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-11111111111-1-11-11-1-111-1-1-1-111-1-1-1-1-111
χ81111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11111111-1-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-1-111-1-111-1-111-11-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1-1-11111-1-11-11
χ1111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-111111111-1-111-11-11-1-1-11111-1-1-1-1-1-11-11
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111-1-111-1-11111-11-1
χ1311111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11
χ1411111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-11111-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-111-1
χ1511111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-111-1
χ1611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-111-1-11
χ17222222-2-22222220000222200-2-2-2-2000022222200000000-2-2000000-22-200-2-222-2-2000000000000000000000002-2000
χ18222222-2-22222220000222200-2-2-2-2000022222200000000-2-2000000-2-2200-2-2-2-22200000000000000000000000-22000
χ19222222-2-22222220000222200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-2002222-2-200000000000000000000000-22000
χ20222222-2-22222220000222200-2-2-2-20000-2-2-2-2-2-200000000-2-20000002-220022-2-222000000000000000000000002-2000
χ2122222-1222-12-1-122222-1-1-1-1222-12-1222200000022-1-122-1-1-1-1-1-1-1-1-1-10220000-1-1-1-10000-1-1-1-120022-1-1-1-10000-1-100000
χ2222222-1222-12-1-122222-1-1-1-1222-12-1222200000022-1-122-1-1-1-1-1-1-1-1-1-10-2-2000011110000-1-1-1-1-200-2-2111100001100000
χ2322222-1222-12-1-1222-2-2-1-1-1-1-2-22-12-1-2-2-2-200000022-1-1-2-211-1-11111110220000-1-1-1-10000-1-111200-2-2-1-11100001100000
χ2422222-1222-12-1-1222-2-2-1-1-1-1-2-22-12-1-2-2-2-200000022-1-1-2-211-1-11111110-2-2000011110000-1-111-2002211-1-10000-1-100000
χ2522222-1222-12-1-12-2-222-1-1-1-1-2-22-12-1-2-2-2-2000000-2-21122-1-1-1-11111110220000-1-1-1-1000011-1-1-2002-211-1-100001100000
χ2622222-1222-12-1-12-2-222-1-1-1-1-2-22-12-1-2-2-2-2000000-2-21122-1-1-1-11111110-2-200001111000011-1-1200-22-1-1110000-1-100000
χ2722222-1222-12-1-12-2-2-2-2-1-1-1-1222-12-12222000000-2-211-2-211-1-1-1-1-1-1-1-10220000-1-1-1-100001111-200-2211110000-1-100000
χ2822222-1222-12-1-12-2-2-2-2-1-1-1-1222-12-12222000000-2-211-2-211-1-1-1-1-1-1-1-10-2-200001111000011112002-2-1-1-1-100001100000
χ292222-1222-12-122-12222-1-1-1-122-12-12-1-1-1-122-1-1-1-1-1-122-1-122-1-122-1-1-1-120022-1-10000-1-1-1-1-1-1-1-1022000000-1-1-1-10000000
χ302222-1222-12-122-12222-1-1-1-122-12-12-1-1-1-1-2-21111-1-122-1-122-1-122-1-1-1-1-200-2-21100001111-1-1-1-10-2-200000011110000000
χ312222-1222-12-122-122-2-2-1-1-1-1-2-2-12-12111122-1-1-1-1-1-12211-2-2-1-1-2-21111200-2-2-1-100001111-1-11102-2000000-1-1110000000
χ322222-1222-12-122-122-2-2-1-1-1-1-2-2-12-121111-2-21111-1-12211-2-2-1-1-2-21111-20022110000-1-1-1-1-1-1110-2200000011-1-10000000
χ332222-1222-12-122-1-2-222-1-1-1-1-2-2-12-12111122-1-1-1-111-2-2-1-122-1-1-2-21111200-2-2-1-10000111111-1-10-2200000011-1-10000000
χ342222-1222-12-122-1-2-222-1-1-1-1-2-2-12-121111-2-2111111-2-2-1-122-1-1-2-21111-20022110000-1-1-1-111-1-102-2000000-1-1110000000
χ352222-1222-12-122-1-2-2-2-2-1-1-1-122-12-12-1-1-1-122-1-1-1-111-2-211-2-2-1-122-1-1-1-120022-1-10000-1-1-1-111110-2-200000011110000000
χ362222-1222-12-122-1-2-2-2-2-1-1-1-122-12-12-1-1-1-1-2-2111111-2-211-2-2-1-122-1-1-1-1-200-2-211000011111111022000000-1-1-1-10000000
χ3722-2-2222-222-2-2-2-22-22-22-2-222-222-2-222-2-20000002-22-22-22-2-222-222-2-20000000000000002-22-200000000000000000000
χ3822-2-2222-222-2-2-2-22-2-222-2-22-2222-2-2-2-2220000002-22-2-22-22-22-22-2-2220000000000000002-2-2200000000000000000000
χ3922-2-2222-222-2-2-2-2-222-22-2-22-2222-2-2-2-222000000-22-222-22-2-22-22-2-222000000000000000-222-200000000000000000000
χ4022-2-2222-222-2-2-2-2-22-222-2-222-222-2-222-2-2000000-22-22-22-22-222-222-2-2000000000000000-22-2200000000000000000000
χ4122-2-22-12-22-1-211-22-22-2-111-12-22-1-2122-2-20000002-2-112-2-111-1-11-1-11100000003−33−30000-11-11000003−33−300003−300000
χ4222-2-22-12-22-1-211-22-22-2-111-12-22-1-2122-2-20000002-2-112-2-111-1-11-1-1110000000−33−330000-11-1100000−33−330000−3300000
χ4322-2-22-12-22-1-211-22-2-22-111-1-222-1-21-2-2220000002-2-11-221-11-11-111-1-100000003−33−30000-111-1000003−3−330000−3300000
χ4422-2-22-12-22-1-211-22-2-22-111-1-222-1-21-2-2220000002-2-11-221-11-11-111-1-10000000−33−330000-111-100000−333−300003−300000
χ4522-2-22-12-22-1-211-2-222-2-111-1-222-1-21-2-222000000-221-12-2-111-11-111-1-100000003−33−300001-1-1100000−333−30000−3300000
χ4622-2-22-12-22-1-211-2-222-2-111-1-222-1-21-2-222000000-221-12-2-111-11-111-1-10000000−33−3300001-1-11000003−3−3300003−300000
χ4722-2-22-12-22-1-211-2-22-22-111-12-22-1-2122-2-2000000-221-1-221-11-1-11-1-11100000003−33−300001-11-100000−33−3300003−300000
χ4822-2-22-12-22-1-211-2-22-22-111-12-22-1-2122-2-2000000-221-1-221-11-1-11-1-1110000000−33−3300001-11-1000003−33−30000−3300000
χ4922-2-2-122-2-121-2-212-22-2-111-12-2-121-2-1-1110033−3−3-112-2-112-21-12-2-1-111000003−3000033−3−3-11-110000000003−33−30000000
χ5022-2-2-122-2-121-2-212-22-2-111-12-2-121-2-1-11100−3−333-112-2-112-21-12-2-1-11100000−330000−3−333-11-11000000000−33−330000000
χ5122-2-2-122-2-121-2-212-2-22-111-1-22-121-211-1-10033−3−3-112-21-1-221-1-2211-1-1000003−30000−3−333-111-10000000003−3−330000000
χ5222-2-2-122-2-121-2-212-2-22-111-1-22-121-211-1-100−3−333-112-21-1-221-1-2211-1-100000−33000033−3−3-111-1000000000−333−30000000
χ5322-2-2-122-2-121-2-21-222-2-111-1-22-121-211-1-10033−3−31-1-22-112-21-1-2211-1-1000003−30000−3−3331-1-11000000000−333−30000000
χ5422-2-2-122-2-121-2-21-222-2-111-1-22-121-211-1-100−3−3331-1-22-112-21-1-2211-1-100000−33000033−3−31-1-110000000003−3−330000000
χ5522-2-2-122-2-121-2-21-22-22-111-12-2-121-2-1-1110033−3−31-1-221-1-221-12-2-1-111000003−3000033−3−31-11-1000000000−33−330000000
χ5622-2-2-122-2-121-2-21-22-22-111-12-2-121-2-1-11100−3−3331-1-221-1-221-12-2-1-11100000−330000−3−3331-11-10000000003−33−30000000
χ5744444-2-4-44-24-2-240000-2-2-2-200-42-420000000000000000002200000004-40000-2-2220000000000000000000000000000
χ5844444-2-4-44-24-2-240000-2-2-2-200-42-42000000000000000000220000000-44000022-2-20000000000000000000000000000
χ594444-24-4-4-24-244-20000-2-2-2-2002-42-4000044-2-2-2-20000000022000000-400002200000000000000000000000000000000
χ604444-24-4-4-24-244-20000-2-2-2-2002-42-40000-4-42222000000002200000040000-2-200000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-24444111144-2-2-2-2-2-2-2-2000000-2-2-2-2-2-2-2-211-2-21111000000000000000111100000000000000000000
χ624444-2-244-2-2-2-2-2-244-4-41111-4-4-2-2-2-22222000000-2-2-2-222221122-1-1-1-100000000000000011-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4441111-4-4-2-2-2-222220000002222-2-2-2-21122-1-1-1-1000000000000000-1-11100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-4111144-2-2-2-2-2-2-2-20000002222222211-2-21111000000000000000-1-1-1-100000000000000000000
χ6544-4-444-4444-4-4-4-400004-4-4400-4-4440000000000000000004-4000000000000000000000000000000000000000000000
χ6644-4-44-2-444-2-422-40000-222-200-424-2000000000000000000-22000000000000023−23−23230000000000000000000000000000
χ6744-4-44-2-444-2-422-40000-222-200-424-2000000000000000000-220000000000000−232323−230000000000000000000000000000
χ6844-4-4-24-44-242-4-420000-222-2002-4-240000002323−23−2300000000-2200000000000−232300000000000000000000000000000000
χ6944-4-4-24-44-242-4-420000-222-2002-4-24000000−23−23232300000000-220000000000023−2300000000000000000000000000000000
χ7044-4-4-2-24-4-2-222224-44-41-1-114-4-2-222-2-222000000-22-22-22-22-11-2211-1-10000000000000001-11-100000000000000000000
χ7144-4-4-2-24-4-2-222224-4-441-1-11-44-2-22222-2-2000000-22-222-22-2-112-2-1-1110000000000000001-1-1100000000000000000000
χ7244-4-4-2-24-4-2-22222-444-41-1-11-44-2-22222-2-20000002-22-2-22-22-112-2-1-111000000000000000-111-100000000000000000000
χ7344-4-4-2-24-4-2-22222-44-441-1-114-4-2-222-2-2220000002-22-22-22-2-11-2211-1-1000000000000000-11-1100000000000000000000
χ744-44-44400-4-444-4-4000044-4-400000000000000000000000000000000000−2i22i2000000−2i22i2−2i22i2000000000000000000000000
χ754-44-44400-4-444-4-4000044-4-4000000000000000000000000000000000002i2−2i20000002i2−2i22i2−2i2000000000000000000000000
χ764-44-4-24002-4-24-420000-2-222000000i6−i6i6−i60023−2323−23000000000000i6−i6i6−i6000−2i22i2000000i2−i2i2−i2000000000000000000000000
χ774-44-4-24002-4-24-420000-2-222000000i6−i6i6−i600−2323−2323000000000000i6−i6i6−i60002i2−2i2000000−i2i2−i2i2000000000000000000000000
χ784-44-4-24002-4-24-420000-2-222000000−i6i6−i6i60023−2323−23000000000000−i6i6−i6i60002i2−2i2000000−i2i2−i2i2000000000000000000000000
χ794-44-4-24002-4-24-420000-2-222000000−i6i6−i6i600−2323−2323000000000000−i6i6−i6i6000−2i22i2000000i2−i2i2−i2000000000000000000000000
χ804-4-444400-4-4-4-44400004-44-400000000004-44-4-440000000000000000000000000000000000000000000000000000000
χ814-4-444400-4-4-4-44400004-44-40000000000-44-444-40000000000000000000000000000000000000000000000000000000
χ824-4-44-24002-42-44-20000-22-22000000i6−i6−i6i64-4-222-2000000000000i6−i6−i6i600000000000i6−i6−i6i6000000000000000000000000
χ834-4-44-24002-42-44-20000-22-22000000i6−i6−i6i6-442-2-22000000000000i6−i6−i6i600000000000−i6i6i6−i6000000000000000000000000
χ844-4-44-24002-42-44-20000-22-22000000−i6i6i6−i64-4-222-2000000000000−i6i6i6−i600000000000−i6i6i6−i6000000000000000000000000
χ854-4-44-24002-42-44-20000-22-22000000−i6i6i6−i6-442-2-22000000000000−i6i6i6−i600000000000i6−i6−i6i6000000000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-400002222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-4-4-88-4-4444400002-2-220044-4-40000000000000000002-2000000000000000000000000000000000000000000000
χ888-88-88-400-848-44-80000-4-44400000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-40044-4-444000022-2-20000002i6−2i62i6−2i6000000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ908-88-8-4-40044-4-444000022-2-2000000−2i62i6−2i62i6000000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ918-8-888-400-84-84-480000-44-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-400002-22-20000002i6−2i6−2i62i6000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-400002-22-2000000−2i62i62i6−2i6000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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