Finite Group Databasebeta

← Group #11897647

Character table — Group #11897647

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order12223344666666344666881212121212121212121212128121212121212242424242424242424242424242424242244444444446612121212121244488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-1-1111-1-111-1-1-1
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-1-1-1-111-1-1111
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-111111-1-1-1-111-1
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-111-1-111-1-1-11111-1-11
χ9111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-11-11111-1-1-1-1-11-1111-11-1-1
χ10111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111111-1-1-1-11-11-1-1-11-111
χ11111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-1-1-11111-11-111-11-11-1
χ12111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-111111-11-1-11-11-11
χ13111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11-1-1111-1-1-1-111-11-1-1-11-1-111
χ14111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111-111-1-1-1-1111-1111-111-1-1
χ15111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-11-111-1-1-11111-1-1-11-1-1-1-111-11
χ16111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-11-1-11111-1-11-11111-1-11-1
χ17222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-20000000000000000000022000000000000002-2-20000000
χ18222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-200000000000000000000-2-200000000000000-2220000000
χ19222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-222000000000000000000002200000000000000-2-220000000
χ20222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-22200000000000000000000-2-20000000000000022-20000000
χ2122222-1222-12-1-12-122-1-1-122-1-1-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200022000-1-1-1-1-1-1-1-10000000000
χ2222222-1222-12-1-12-122-1-1-122-1-1-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000-2-2000111111110000000000
χ2322222-1222-12-1-12-122-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-222-1-1-1-1-2-2111111-2-211111122-2-20002-2000-1-111-1-1110000000000
χ2422222-1222-12-1-12-122-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-222-1-1-1-1-2-2111111-2-2111111-2-222000-2200011-1-111-1-10000000000
χ2522222-1222-12-1-12-1-2-2-1-1-122111122-1-1-1-1-1-1-2-2-2111122-1-1-1-1-1-1-2-21111112222000-2-2000-1-1-1-111110000000000
χ2622222-1222-12-1-12-1-2-2-1-1-122111122-1-1-1-1-1-1-2-2-2111122-1-1-1-1-1-1-2-2111111-2-2-2-2000220001111-1-1-1-10000000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2111122-1-1-1-1-1-12-2-21111-2-211111122-1-1-1-1-1-122-2-2000-22000-1-11111-1-10000000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2111122-1-1-1-1-1-12-2-21111-2-211111122-1-1-1-1-1-1-2-2220002-200011-1-1-1-1110000000000
χ292222-1222-12-122-1-122-1-1-1222222-1-122-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002002220000000000000-1-1-1-10
χ302222-1222-12-122-1-122-1-1-1222222-1-122-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-200-2-2-2000000000000011110
χ312222-1222-12-122-1-122-1-1-1-2-22222-1-122-1-1-1-1-2-1-1-1-1-1-111-2-2111111-2-211110000002002-2-20000000000000-1-1110
χ322222-1222-12-122-1-122-1-1-1-2-22222-1-122-1-1-1-1-2-1-1-1-1-1-111-2-2111111-2-21111000000-200-222000000000000011-1-10
χ332222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-122-1-1-1-1-2111111-1-122-1-1-1-111-2-21111000000200-22-20000000000000-11-110
χ342222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-122-1-1-1-1-2111111-1-122-1-1-1-111-2-21111000000-2002-2200000000000001-11-10
χ352222-1222-12-122-1-1-2-2-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1211111111-2-21111-1-122-1-1-1-1000000200-2-220000000000000-111-10
χ362222-1222-12-122-1-1-2-2-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1211111111-2-21111-1-122-1-1-1-1000000-20022-200000000000001-1-110
χ3722-2-2222-22-2-22-2-22002-2-22-200002-22-222-2-200000002-22-222-2-2000000002-22-2000000002-22-200000000000000
χ3822-2-2222-22-2-22-2-22002-2-22-200002-22-222-2-200000002-22-222-2-200000000-22-2200000000-22-2200000000000000
χ3922-2-2222-22-2-22-2-22002-2-2-2200002-22-222-2-20000000-22-22-2-222000000002-2-22000000002-2-2200000000000000
χ4022-2-2222-22-2-22-2-22002-2-2-2200002-22-222-2-20000000-22-22-2-22200000000-222-200000000-222-200000000000000
χ4122-2-22-12-221-2-11-2-100-1112-23−33−32-2-11-1-1110003−33−32-2-11-1-111003−333−3−32-22-200000000-11-113−33−30000000000
χ4222-2-22-12-221-2-11-2-100-1112-23−33−32-2-11-1-1110003−33−32-2-11-1-111003−333−3−3-22-22000000001-11-1−33−330000000000
χ4322-2-22-12-221-2-11-2-100-1112-2−33−332-2-11-1-111000−33−332-2-11-1-11100−33−3−3332-22-200000000-11-11−33−330000000000
χ4422-2-22-12-221-2-11-2-100-1112-2−33−332-2-11-1-111000−33−332-2-11-1-11100−33−3−333-22-22000000001-11-13−33−30000000000
χ4522-2-22-12-221-2-11-2-100-111-223−33−32-2-11-1-1110003−33−3-221-111-1-100−33−3−3332-2-2200000000-111-13−3−330000000000
χ4622-2-22-12-221-2-11-2-100-111-223−33−32-2-11-1-1110003−33−3-221-111-1-100−33−3−333-222-2000000001-1-11−333−30000000000
χ4722-2-22-12-221-2-11-2-100-111-22−33−332-2-11-1-111000−33−33-221-111-1-1003−333−3−32-2-2200000000-111-1−333−30000000000
χ4822-2-22-12-221-2-11-2-100-111-22−33−332-2-11-1-111000−33−33-221-111-1-1003−333−3−3-222-2000000001-1-113−3−330000000000
χ4944444-2-4-44-24-2-24-24-4-2-2-200-2-222-4-422222204-4-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-44-2-2-20022-2-2-4-42222220-4422-2-20000000000000000000000000000000000000000000000
χ514444-24-4-4-24-244-2-24-4-2-2-20044-4-422-4-422220-22-2-2220000000000000000000000000000000000000000000000
χ524444-24-4-4-24-244-2-2-44-2-2-200-4-44422-4-4222202-222-2-20000000000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-211114-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-2-2-2-21111-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111442222-2-2-2-21111-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-42222-2-2-2-21111422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-214-411100-2-2222222-1-1-1-10-2211-1-100003i−3i3i−3i00003i−3i3i−3i000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-214-411100-2-2222222-1-1-1-10-2211-1-10000−3i3i−3i3i0000−3i3i−3i3i000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-21-441110022-2-22222-1-1-1-102-2-1-11100003i−3i3i−3i0000−3i3i−3i3i000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-21-441110022-2-22222-1-1-1-102-2-1-1110000−3i3i−3i3i00003i−3i3i−3i000000000000000000000000000000
χ6144-4-444-444-4-44-4-44004-4-4000000-44-44-4-44400000000000000000000000000000000000000000000000000000
χ6244-4-44-2-4442-4-22-4-200-2220023−23−2323-442-222-2-200023−23−23230000000000000000000000000000000000000000000000
χ6344-4-44-2-4442-4-22-4-200-22200−232323−23-442-222-2-2000−232323−230000000000000000000000000000000000000000000000
χ6444-4-4-244-4-2-424-42-200-2224-40000-224-4-2-2220000000-224-4-2-22200000000000000000000000000000000000000
χ6544-4-4-244-4-2-424-42-200-222-440000-224-4-2-22200000002-2-4422-2-200000000000000000000000000000000000000
χ6644-4-4-24-44-2-424-42-200-2220000002-2-4422-2-2000000000000000−2i32i300−2i32i32i3−2i3000000000000000000000000000000
χ6744-4-4-24-44-2-424-42-200-2220000002-2-4422-2-20000000000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000
χ6844-4-4-2-24-4-222-2221001-1-14-423−2323−23-22-2211-1-1000−33−33-22-2211-1-10023−23−3−333000000000000000000000000000000
χ6944-4-4-2-24-4-222-2221001-1-14-4−2323−2323-22-2211-1-10003−33−3-22-2211-1-100−232333−3−3000000000000000000000000000000
χ7044-4-4-2-24-4-222-2221001-1-1-4423−2323−23-22-2211-1-1000−33−332-22-2-1-11100−232333−3−3000000000000000000000000000000
χ7144-4-4-2-24-4-222-2221001-1-1-44−2323−2323-22-2211-1-10003−33−32-22-2-1-1110023−23−3−333000000000000000000000000000000
χ7244-4-4-2-2-44-222-2221001-1-10023−23−23232-22-2-1-111000−333−300003i−3i−3i3i−2i32i300i3−i3−i3i3000000000000000000000000000000
χ7344-4-4-2-2-44-222-2221001-1-10023−23−23232-22-2-1-111000−333−30000−3i3i3i−3i2i3−2i300−i3i3i3−i3000000000000000000000000000000
χ7444-4-4-2-2-44-222-2221001-1-100−232323−232-22-2-1-1110003−3−3300003i−3i−3i3i2i3−2i300−i3i3i3−i3000000000000000000000000000000
χ7544-4-4-2-2-44-222-2221001-1-100−232323−232-22-2-1-1110003−3−330000−3i3i3i−3i−2i32i300i3−i3−i3i3000000000000000000000000000000
χ764-44-44400-444-4-4-4400-44-4000000000000000000000000000000000000000004-4000000000000000000000000
χ774-44-44400-444-4-4-4400-44-400000000000000000000000000000000000000000-44000000000000000000000000
χ784-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000000000000000000000000022−2200000
χ794-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000000000000000000000000−222200000
χ808-88-88-400-8-4844-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-480048-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4-4444200-22-200000000006i−6i6i−6i00000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-4444200-22-20000000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000
χ848-8-888-400-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-84-88-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-2200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-220000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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