Finite Group Databasebeta

← Group #11794344

Character table — Group #11794344

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666666661212121212121212226666666666666666121212124488888812121212242424242424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000002i−2i0000000000002i2i−2i−2i000000
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2000000−2i2i000000000000−2i−2i2i2i000000
χ112222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ122222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ132222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-2111111111111-1-1-1-122-2-20000-1-1-1-1111100000000000000
χ142222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-2111111111111-1-1-1-1-2-22200001111-1-1-1-100000000000000
χ15222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ16222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ17222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-211111111-1-1-1-1000022-2-200000000-1-1-1-11111000000
χ18222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-211111111-1-1-1-10000-2-222000000001111-1-1-1-1000000
χ19222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i311110000002i−2i0000000033−3−3−i−iii000000
χ20222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i31111000000−2i2i00000000−3−333ii−i−i000000
χ21222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i311110000002i−2i00000000−3−333−i−iii000000
χ22222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i31111000000−2i2i0000000033−3−3ii−i−i000000
χ232222-2-2222-22-22222222-2-2-2-222-2-2-2-222-22-2-22-2200000000000000000022-2-22-200000022-2-2000000000000000000
χ242222-2-2222-22-22222222-2-2-2-222-2-2-2-222-22-2-22-2200000000000000000022-2-2-22000000-2-222000000000000000000
χ252222-2-222-22-222222222-2-2-2-222-2-2-2-22-22-222-22-2000000000000000000-2-22200000000000000000000000022-2-200
χ262222-2-222-22-222222222-2-2-2-222-2-2-2-22-22-222-22-2000000000000000000-2-222000000000000000000000000-2-22200
χ272222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1112-2-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1112-2000000-1-111−i3−i3i3i300000000000000
χ282222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1112-2-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-111-2200000011-1-1i3i3−i3−i300000000000000
χ292222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1112-2-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1112-2000000-1-111i3i3−i3−i300000000000000
χ302222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1112-2-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-111-2200000011-1-1−i3−i3i3i300000000000000
χ3122-2-22-22222-2-2-2-222-2-222-22-2-2-222-2-222222-2-2-2-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000
χ3222-2-22-22222-2-2-2-222-2-222-22-2-2-222-2-222222-2-2-2-2-22-22-22-22-22-22-22-22-222-22-2000000000000000000000000000000
χ3322-2-22-222-2-222-2-222-2-222-22-2-2-222-2-22-2-2-2-22222000000000000000000-22-2200002-200000000002-22-20000000000
χ3422-2-22-222-2-222-2-222-2-222-22-2-2-222-2-22-2-2-2-22222000000000000000000-22-220000-220000000000-22-220000000000
χ3522-2-22-22-122-2-2-2-22-111-12-2-1111-1-111-122-1-11-2-212-22-22-2-11-11-11-11-11-11-11-11000000003−33−33−33−300000000000000
χ3622-2-22-22-122-2-2-2-22-111-12-2-1111-1-111-122-1-11-2-212-22-22-2-11-11-11-11-11-11-11-1100000000−33−33−33−3300000000000000
χ3722-2-22-22-122-2-2-2-22-111-12-2-1111-1-111-122-1-11-2-21-22-22-221-11-11-11-11-11-1-11-11000000003−33−3−33−3300000000000000
χ3822-2-22-22-122-2-2-2-22-111-12-2-1111-1-111-122-1-11-2-21-22-22-221-11-11-11-11-11-1-11-1100000000−33−333−33−300000000000000
χ3922-2-22-2-1222-2-211-12-2-2-1-112-211-1-111-1-1-122-211-22-2-11-112-22-2-11-11-11-11-11-1100000000000000003−3−333−33−3000000
χ4022-2-22-2-1222-2-211-12-2-2-1-112-211-1-111-1-1-122-211-22-2-11-112-22-2-11-11-11-11-11-110000000000000000−333−3−33−33000000
χ4122-2-22-2-1222-2-211-12-2-2-1-112-211-1-111-1-1-122-211-2-221-11-1-22-221-11-11-11-1-11-1100000000000000003−3−33−33−33000000
χ4222-2-22-2-1222-2-211-12-2-2-1-112-211-1-111-1-1-122-211-2-221-11-1-22-221-11-11-11-1-11-110000000000000000−333−33−33−3000000
χ4322-2-22-2-12-2-22211-12-2-2-1-112-211-1-111-111-2-22-1-1200−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i31-11-100002-20000000000-11-11−i3i3i3−i3000000
χ4422-2-22-2-12-2-22211-12-2-2-1-112-211-1-111-111-2-22-1-1200−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i31-11-10000-2200000000001-11-1i3−i3−i3i3000000
χ4522-2-22-2-12-2-22211-12-2-2-1-112-211-1-111-111-2-22-1-1200i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i31-11-100002-20000000000-11-11i3−i3−i3i3000000
χ4622-2-22-2-12-2-22211-12-2-2-1-112-211-1-111-111-2-22-1-1200i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i31-11-10000-2200000000001-11-1−i3i3i3−i3000000
χ4722-2-2-22222-2-22-2-222-2-22-22-22-2-2-2-22222-22-22-22-20000000000000000002-2-22002i−2i000000002i−2i−2i2i00000000000000
χ4822-2-2-22222-2-22-2-222-2-22-22-22-2-2-2-22222-22-22-22-20000000000000000002-2-2200−2i2i00000000−2i2i2i−2i00000000000000
χ4922-2-2-2222-222-2-2-222-2-22-22-22-2-2-2-2222-22-22-22-22000000000000000000-222-200000000000000000000000000002i−2i
χ5022-2-2-2222-222-2-2-222-2-22-22-22-2-2-2-2222-22-22-22-22000000000000000000-222-20000000000000000000000000000−2i2i
χ5122-2-2-222-12-2-22-2-22-111-1-221-11111-1-1-12-2-11-1-221000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-111-1002i−2i00003−3−33−iii−i00000000000000
χ5222-2-2-222-12-2-22-2-22-111-1-221-11111-1-1-12-2-11-1-221000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-111-100−2i2i0000−333−3i−i−ii00000000000000
χ5322-2-2-222-12-2-22-2-22-111-1-221-11111-1-1-12-2-11-1-221000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-111-1002i−2i0000−333−3−iii−i00000000000000
χ5422-2-2-222-12-2-22-2-22-111-1-221-11111-1-1-12-2-11-1-221000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-111-100−2i2i00003−3−33i−i−ii00000000000000
χ554444444-2-4-4-4-4444-2-2-2-244-2-2-2-2-2-2-2-2-2-4-4222-4-420000000000000000002222000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3-1-1-1-1000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3-1-1-1-1000000000000000000000000000000
χ604444-4-44-2-44-44444-2-2-2-2-4-422-2-22222-2-442-2-2-44200000000000000000022-2-2000000000000000000000000000000
χ614444-4-4-244-44-4-2-2-2444-222-4-4-2-22222-2-224-4-4-224000000000000000000-2-222000000000000000000000000000000
χ624444-4-4-24-44-44-2-2-2444-222-4-4-2-22222-22-2-4442-2-400000000000000000022-2-2000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-21222211-1-1-1-11-22-222-22-2000000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i311-1-1000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-21222211-1-1-1-11-22-222-22-20000002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i311-1-1000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-21222211-1-1-1-112-22-2-22-22000000000033-3-3-3-333-1-111000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-21222211-1-1-1-112-22-2-22-220000000000-3-33333-3-3-1-111000000000000000000000000000000
χ6744-4-44-44-2-4-444-4-44-222-24-4-2222-2-222-2-4-422-244-20000000000000000002-22-2000000000000000000000000000000
χ6844-4-44-4-2-244-4-422-2-2221-22-22-1-111-1-11-2-2-2-222224-4-22-22-22-221-11-11-11-11-11-1000000000000000000000000000000
χ6944-4-44-4-2-244-4-422-2-2221-22-22-1-111-1-11-2-2-2-22222-442-22-22-22-2-11-11-11-111-11-1000000000000000000000000000000
χ7044-4-44-4-2-2-4-44422-2-2221-22-22-1-111-1-112222-2-2-2-200−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i3-11-11000000000000000000000000000000
χ7144-4-44-4-2-2-4-44422-2-2221-22-22-1-111-1-112222-2-2-2-2002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i3-11-11000000000000000000000000000000
χ7244-4-4-444-2-444-4-4-44-222-2-442-22222-2-2-2-442-224-4-20000000000000000002-2-22000000000000000000000000000000
χ7344-4-4-44-244-4-4422-24-4-4-22-2-442222-2-2-2-224-442-2-4000000000000000000-222-2000000000000000000000000000000
χ7444-4-4-44-24-444-422-24-4-4-22-2-442222-2-2-22-2-44-4-2240000000000000000002-2-22000000000000000000000000000000
χ7544-4-4-44-2-24-4-4422-2-22212-22-2-1-1-1-1111-22-22-22-22000000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i31-1-11000000000000000000000000000000
χ7644-4-4-44-2-24-4-4422-2-22212-22-2-1-1-1-1111-22-22-22-220000002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i31-1-11000000000000000000000000000000
χ7744-4-4-44-2-2-444-422-2-22212-22-2-1-1-1-11112-22-22-22-200000000003-3-33-333-3-111-1000000000000000000000000000000
χ7844-4-4-44-2-2-444-422-2-22212-22-2-1-1-1-11112-22-22-22-20000000000-333-33-3-33-111-1000000000000000000000000000000
χ794-44-4004400004-4-4-44-4400004-40000-400000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-4004400004-4-4-44-4400004-40000-4000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-4400440000-44-4-4-4440000-440000-400000000000000000000000000000000000000000000000000000022−220000
χ824-4-4400440000-44-4-4-4440000-440000-4000000000000000000000000000000000000000000000000000000−22220000
χ838-88-8008-400008-8-84-44-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ848-88-800-480000-444-88-8-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-40000-4444-44200002-26-66-6-2000000000000000000000000000000000000000000000000000000000000
χ868-88-800-4-40000-4444-44200002-2-66-66-2000000000000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-88-844-4-400004-400004000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-4800004-44-8-88-400004-400004000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-400004-4444-420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-400004-4444-420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000

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