Finite Group Databasebeta

← Group #11896052

Character table — Group #11896052

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order122233446666663446668812121212121212121212121281212121212122424242424242424242424242424242444444424444412121212121212124448861212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-11-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-1-111-1-1111-1-1-1-111-1
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-111-1-1-1-1-11111-1-11
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111111-1-111-1-1-1
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-111-1-1-111-1-1111
χ9111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-11-1-1-11111-1-1-11-1111-11-1-1
χ10111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-11-11-1-1-11-111
χ11111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1111-1-1-1-111-11-111-11-11-1
χ12111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1111-11-1-11-11-11
χ13111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-111-11-1-1-1-1-11111-11-1-1-1-111-11
χ14111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-11-1-1-1-111111-11111-1-11-1
χ15111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-11-111111-1-1-1-1-11-1-1-11-1-111
χ16111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-11111-1-1-1-11-1111-111-1-1
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
χ2122222-122-122-12-1-122-1-1-1222222-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002020220000000000000-1-1-1-10
χ2222222-122-122-12-1-122-1-1-1222222-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-20-20-2-2000000000000011110
χ2322222-122-122-12-1-122-1-1-1-2-22222-1-122-1-1-1-1-2-1-1-1-1-1-1-2-2111111-2-21111110000002020-2-20000000000000-1-1110
χ2422222-122-122-12-1-122-1-1-1-2-22222-1-122-1-1-1-1-2-1-1-1-1-1-1-2-2111111-2-2111111000000-20-2022000000000000011-1-10
χ2522222-122-122-12-1-1-2-2-1-1-122-2-2-2-2-1-122-1-1-1-1-211111122-1-1-1-1-1-1-2-211111100000020-202-20000000000000-11-110
χ2622222-122-122-12-1-1-2-2-1-1-122-2-2-2-2-1-122-1-1-1-1-211111122-1-1-1-1-1-1-2-2111111000000-2020-2200000000000001-11-10
χ2722222-122-122-12-1-1-2-2-1-1-1-2-2-2-2-2-2-1-122-1-1-1-12111111-2-211111122-1-1-1-1-1-100000020-20-220000000000000-111-10
χ2822222-122-122-12-1-1-2-2-1-1-1-2-2-2-2-2-2-1-122-1-1-1-12111111-2-211111122-1-1-1-1-1-1000000-20202-200000000000001-1-110
χ292222-12222-1-12-12-122-1-1-122-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200020200-1-1-1-1-1-1-1-10000000000
χ302222-12222-1-12-12-122-1-1-122-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2000-20-200111111110000000000
χ312222-12222-1-12-12-122-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-222-1-1-1-111-2-2111111-2-2111122-2-2000-20200-1-111-1-1110000000000
χ322222-12222-1-12-12-122-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-222-1-1-1-111-2-2111111-2-21111-2-22200020-20011-1-111-1-10000000000
χ332222-12222-1-12-12-1-2-2-1-1-122111122-1-1-1-1-1-1-2-2-21111-1-122-1-1-1-111-2-211112222000-20-20011-1-1-1-1110000000000
χ342222-12222-1-12-12-1-2-2-1-1-122111122-1-1-1-1-1-1-2-2-21111-1-122-1-1-1-111-2-21111-2-2-2-200020200-1-11111-1-10000000000
χ352222-12222-1-12-12-1-2-2-1-1-1-2-2111122-1-1-1-1-1-12-2-2111111-2-21111-1-122-1-1-1-122-2-200020-2001111-1-1-1-10000000000
χ362222-12222-1-12-12-1-2-2-1-1-1-2-2111122-1-1-1-1-1-12-2-2111111-2-21111-1-122-1-1-1-1-2-222000-20200-1-1-1-111110000000000
χ3722-2-222-22-2-2-222-22002-2-22i−2i00002-22-222-2-200000002i−2i2i−2i2i2i−2i−2i000000002-22i−2i00000000002i−2i2-2000000000000
χ3822-2-222-22-2-2-222-22002-2-22i−2i00002-22-222-2-200000002i−2i2i−2i2i2i−2i−2i00000000-22−2i2i0000000000−2i2i-22000000000000
χ3922-2-222-22-2-2-222-22002-2-2−2i2i00002-22-222-2-20000000−2i2i−2i2i−2i−2i2i2i000000002-2−2i2i0000000000−2i2i2-2000000000000
χ4022-2-222-22-2-2-222-22002-2-2−2i2i00002-22-222-2-20000000−2i2i−2i2i−2i−2i2i2i00000000-222i−2i00000000002i−2i-22000000000000
χ4122-2-2-12-22-2112-1-2-100-1112i−2i3−33−32-2-11-1-1110003−33−3−ii2i−2i−i−iii−i3i300−i3−i3i3i32-22i−2i000000003−3−ii-11−i3i30000000000
χ4222-2-2-12-22-2112-1-2-100-1112i−2i3−33−32-2-11-1-1110003−33−3−ii2i−2i−i−iii−i3i300−i3−i3i3i3-22−2i2i00000000−33i−i1-1i3−i30000000000
χ4322-2-2-12-22-2112-1-2-100-1112i−2i−33−332-2-11-1-111000−33−33−ii2i−2i−i−iiii3−i300i3i3−i3−i32-22i−2i00000000−33−ii-11i3−i30000000000
χ4422-2-2-12-22-2112-1-2-100-1112i−2i−33−332-2-11-1-111000−33−33−ii2i−2i−i−iiii3−i300i3i3−i3−i3-22−2i2i000000003−3i−i1-1−i3i30000000000
χ4522-2-2-12-22-2112-1-2-100-111−2i2i3−33−32-2-11-1-1110003−33−3i−i−2i2iii−i−ii3−i300i3i3−i3−i32-2−2i2i000000003−3i−i-11i3−i30000000000
χ4622-2-2-12-22-2112-1-2-100-111−2i2i3−33−32-2-11-1-1110003−33−3i−i−2i2iii−i−ii3−i300i3i3−i3−i3-222i−2i00000000−33−ii1-1−i3i30000000000
χ4722-2-2-12-22-2112-1-2-100-111−2i2i−33−332-2-11-1-111000−33−33i−i−2i2iii−i−i−i3i300−i3−i3i3i32-2−2i2i00000000−33i−i-11−i3i30000000000
χ4822-2-2-12-22-2112-1-2-100-111−2i2i−33−332-2-11-1-111000−33−33i−i−2i2iii−i−i−i3i300−i3−i3i3i3-222i−2i000000003−3−ii1-1i3−i30000000000
χ4944444-2-4-4-244-24-2-24-4-2-2-20044-4-422-4-422220-22-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-4-244-24-2-2-44-2-2-200-4-44422-4-4222202-222-2-20000000000000000000000000000000000000000000000
χ514444-24-4-44-2-24-24-24-4-2-2-200-2-222-4-422222204-4-2-2220000000000000000000000000000000000000000000000
χ524444-24-4-44-2-24-24-2-44-2-2-20022-2-2-4-42222220-4422-2-20000000000000000000000000000000000000000000000
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
χ6144-4-4444-4-4-4-444-44004-4-4000000-44-44-4-44400000000000000000000000000000000000000000000000000000
χ6244-4-44-24-42-4-4-242-200-2220000002-2-4422-2-20000000000000000023−2323−23−2323000000000000000000000000000000
χ6344-4-44-24-42-4-4-242-200-2220000002-2-4422-2-200000000000000000−2323−232323−23000000000000000000000000000000
χ6444-4-44-2-442-4-4-242-200-2224i−4i0000-224-4-2-22200000004i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ6544-4-44-2-442-4-4-242-200-222−4i4i0000-224-4-2-2220000000−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ6644-4-4-244-4-4224-2-4-200-2220023−23−2323-442-222-2-200023−23−23230000000000000000000000000000000000000000000000
χ6744-4-4-244-4-4224-2-4-200-22200−232323−23-442-222-2-2000−232323−230000000000000000000000000000000000000000000000
χ6844-4-4-2-24-4222-2-221001-1-10023−23−23232-22-2-1-111000−333−300003-3-330023−23−333−3000000000000000000000000000000
χ6944-4-4-2-24-4222-2-221001-1-10023−23−23232-22-2-1-111000−333−30000-333-300−23233−3−33000000000000000000000000000000
χ7044-4-4-2-24-4222-2-221001-1-100−232323−232-22-2-1-1110003−3−3300003-3-3300−23233−3−33000000000000000000000000000000
χ7144-4-4-2-24-4222-2-221001-1-100−232323−232-22-2-1-1110003−3−330000-333-30023−23−333−3000000000000000000000000000000
χ7244-4-4-2-2-44222-2-221001-1-14i−4i23−2323−23-22-2211-1-1000−33−33−2i2i−2i2iii−i−i−2i32i300i3i3−i3−i3000000000000000000000000000000
χ7344-4-4-2-2-44222-2-221001-1-14i−4i−2323−2323-22-2211-1-10003−33−3−2i2i−2i2iii−i−i2i3−2i300−i3−i3i3i3000000000000000000000000000000
χ7444-4-4-2-2-44222-2-221001-1-1−4i4i23−2323−23-22-2211-1-1000−33−332i−2i2i−2i−i−iii2i3−2i300−i3−i3i3i3000000000000000000000000000000
χ7544-4-4-2-2-44222-2-221001-1-1−4i4i−2323−2323-22-2211-1-10003−33−32i−2i2i−2i−i−iii−2i32i300i3i3−i3−i3000000000000000000000000000000
χ764-44-4440044-4-4-4-4400-44-4000000000000000000000000000000000000000004-4000000000000000000000000
χ774-44-4440044-4-4-4-4400-44-400000000000000000000000000000000000000000-44000000000000000000000000
χ784-4-444400-4-44-4-44400-4-44000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ794-4-444400-4-44-4-44400-4-440000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ808-88-88-400-48-84-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48008-44-84-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4-44444200-22-200000000006i−6i6i−6i00000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-4-44444200-22-20000000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000
χ848-8-888-4004-884-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-84-4-848-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-4200-2-2200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8-88-4-40044-444-4200-2-220000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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