Finite Group Databasebeta

← Group #11889133

Character table — Group #11889133

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order122233446666663446668812121212121212121212121281212121212122424242424242424242424242424242422442222444466121212121212244886612128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
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
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-1-1-1-111-1-1111
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
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-111-1-111-1-1-11111-1-11
χ9111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-11-111-1-1-1-111-11-1111-11-1-1
χ10111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1111-11-1-1-11-111
χ11111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-11111-1-1-11-111-11-11-1
χ12111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-11-11-1-11-11-11
χ13111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11-1-111111-1-1-1-1-11-1-1-11-1-111
χ14111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1-1111111-1-1-1-11-1111-111-1-1
χ15111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-11-111-1-1-1-1-11111-11-1-1-1-111-11
χ16111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-111-1-1-1-1-1-111111-11111-1-11-1
χ17222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-2000000000000000000002200000000000000-2-220000000
χ18222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-200000000000000000000-2-20000000000000022-20000000
χ19222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-2220000000000000000000022000000000000002-2-20000000
χ20222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-22200000000000000000000-2-200000000000000-2220000000
χ2122222-1222-12-1-12-122-1-1-1222222-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002220200000000000000-1-1-1-10
χ2222222-1222-12-1-12-122-1-1-1222222-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-2-20-20000000000000011110
χ2322222-1222-12-1-12-122-1-1-1-2-22222-1-122-1-1-1-1-2-1-1-1-1-1-1-2-2111111-2-211111100000022-20-200000000000000-1-1110
χ2422222-1222-12-1-12-122-1-1-1-2-22222-1-122-1-1-1-1-2-1-1-1-1-1-1-2-2111111-2-2111111000000-2-22020000000000000011-1-10
χ2522222-1222-12-1-12-1-2-2-1-1-122-2-2-2-2-1-122-1-1-1-1-211111122-1-1-1-1-1-1-2-21111110000002-2-20200000000000000-11-110
χ2622222-1222-12-1-12-1-2-2-1-1-122-2-2-2-2-1-122-1-1-1-1-211111122-1-1-1-1-1-1-2-2111111000000-2220-2000000000000001-11-10
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-2-2-2-2-1-122-1-1-1-12111111-2-211111122-1-1-1-1-1-10000002-220-200000000000000-111-10
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-2-2-2-2-1-122-1-1-1-12111111-2-211111122-1-1-1-1-1-1000000-22-202000000000000001-1-110
χ292222-1222-12-122-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200000202-1-1-1-1-1-1-1-10000000000
χ302222-1222-12-122-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-200000-20-2111111110000000000
χ312222-1222-12-122-1-122-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-222-1-1-1-111-2-2111111-2-2111122-2-20000020-2-1-111-1-1110000000000
χ322222-1222-12-122-1-122-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-222-1-1-1-111-2-2111111-2-21111-2-22200000-20211-1-111-1-10000000000
χ332222-1222-12-122-1-1-2-2-1-1-122111122-1-1-1-1-1-1-2-2-21111-1-122-1-1-1-111-2-21111222200000-20-2-1-11111-1-10000000000
χ342222-1222-12-122-1-1-2-2-1-1-122111122-1-1-1-1-1-1-2-2-21111-1-122-1-1-1-111-2-21111-2-2-2-20000020211-1-1-1-1110000000000
χ352222-1222-12-122-1-1-2-2-1-1-1-2-2111122-1-1-1-1-1-12-2-2111111-2-21111-1-122-1-1-1-122-2-200000-202-1-1-1-111110000000000
χ362222-1222-12-122-1-1-2-2-1-1-1-2-2111122-1-1-1-1-1-12-2-2111111-2-21111-1-122-1-1-1-1-2-2220000020-21111-1-1-1-10000000000
χ372-2-22222-2-222-2-2-22002-2-22i−2i00002-22-222-2-200000002i−2i2i−2i2i2i−2i−2i000000002-22i−2i000000002-200002i−2i0000000000
χ382-2-22222-2-222-2-2-22002-2-22i−2i00002-22-222-2-200000002i−2i2i−2i2i2i−2i−2i00000000-22−2i2i00000000-220000−2i2i0000000000
χ392-2-22222-2-222-2-2-22002-2-2−2i2i00002-22-222-2-20000000−2i2i−2i2i−2i−2i2i2i000000002-2−2i2i000000002-20000−2i2i0000000000
χ402-2-22222-2-222-2-2-22002-2-2−2i2i00002-22-222-2-20000000−2i2i−2i2i−2i−2i2i2i00000000-222i−2i00000000-2200002i−2i0000000000
χ412-2-22-122-212-1-2-21-100-1112i−2i3−33−32-2-11-1-1110003−33−3−ii2i−2i−i−iii−i3i300−i3−i3i3i32-22i−2i00000000-11−i3i33−3−ii0000000000
χ422-2-22-122-212-1-2-21-100-1112i−2i3−33−32-2-11-1-1110003−33−3−ii2i−2i−i−iii−i3i300−i3−i3i3i3-22−2i2i000000001-1i3−i3−33i−i0000000000
χ432-2-22-122-212-1-2-21-100-1112i−2i−33−332-2-11-1-111000−33−33−ii2i−2i−i−iiii3−i300i3i3−i3−i32-22i−2i00000000-11i3−i3−33−ii0000000000
χ442-2-22-122-212-1-2-21-100-1112i−2i−33−332-2-11-1-111000−33−33−ii2i−2i−i−iiii3−i300i3i3−i3−i3-22−2i2i000000001-1−i3i33−3i−i0000000000
χ452-2-22-122-212-1-2-21-100-111−2i2i3−33−32-2-11-1-1110003−33−3i−i−2i2iii−i−ii3−i300i3i3−i3−i32-2−2i2i00000000-11i3−i33−3i−i0000000000
χ462-2-22-122-212-1-2-21-100-111−2i2i3−33−32-2-11-1-1110003−33−3i−i−2i2iii−i−ii3−i300i3i3−i3−i3-222i−2i000000001-1−i3i3−33−ii0000000000
χ472-2-22-122-212-1-2-21-100-111−2i2i−33−332-2-11-1-111000−33−33i−i−2i2iii−i−i−i3i300−i3−i3i3i32-2−2i2i00000000-11−i3i3−33i−i0000000000
χ482-2-22-122-212-1-2-21-100-111−2i2i−33−332-2-11-1-111000−33−33i−i−2i2iii−i−i−i3i300−i3−i3i3i3-222i−2i000000001-1i3−i33−3−ii0000000000
χ4944444-2-4-44-24-2-24-24-4-2-2-20044-4-422-4-422220-22-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-44-2-2-200-4-44422-4-4222202-222-2-20000000000000000000000000000000000000000000000
χ514444-24-4-4-24-244-2-24-4-2-2-200-2-222-4-422222204-4-2-2220000000000000000000000000000000000000000000000
χ524444-24-4-4-24-244-2-2-44-2-2-20022-2-2-4-42222220-4422-2-20000000000000000000000000000000000000000000000
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
χ6144-4-444004-4-44-4-4400-44-4000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ6244-4-444004-4-44-4-4400-44-40000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ634-44-44400-4-4-4-444400-4-44000000000000000000000000000000000000000004-4000000000000000000000000
χ644-44-44400-4-4-4-444400-4-4400000000000000000000000000000000000000000-44000000000000000000000000
χ654-4-4444-44-444-4-4-44004-4-4000000-44-44-4-44400000000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-2422-4-200-2224i−4i0000-224-4-2-22200000004i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ674-4-444-24-4-4-2422-4-200-222−4i4i0000-224-4-2-2220000000−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ684-4-444-2-44-4-2422-4-200-2220000002-2-4422-2-20000000000000000023−2323−23−2323000000000000000000000000000000
χ694-4-444-2-44-4-2422-4-200-2220000002-2-4422-2-200000000000000000−2323−232323−23000000000000000000000000000000
χ704-4-44-24-4424-2-4-42-200-2220023−23−2323-442-222-2-200023−23−23230000000000000000000000000000000000000000000000
χ714-4-44-24-4424-2-4-42-200-22200−232323−23-442-222-2-2000−232323−230000000000000000000000000000000000000000000000
χ724-4-44-2-24-42-2-22221001-1-14i−4i23−2323−23-22-2211-1-1000−33−33−2i2i−2i2iii−i−i−2i32i300i3i3−i3−i3000000000000000000000000000000
χ734-4-44-2-24-42-2-22221001-1-14i−4i−2323−2323-22-2211-1-10003−33−3−2i2i−2i2iii−i−i2i3−2i300−i3−i3i3i3000000000000000000000000000000
χ744-4-44-2-24-42-2-22221001-1-1−4i4i23−2323−23-22-2211-1-1000−33−332i−2i2i−2i−i−iii2i3−2i300−i3−i3i3i3000000000000000000000000000000
χ754-4-44-2-24-42-2-22221001-1-1−4i4i−2323−2323-22-2211-1-10003−33−32i−2i2i−2i−i−iii−2i32i300i3i3−i3−i3000000000000000000000000000000
χ764-4-44-2-2-442-2-22221001-1-10023−23−23232-22-2-1-111000−333−300003-3-330023−23−333−3000000000000000000000000000000
χ774-4-44-2-2-442-2-22221001-1-10023−23−23232-22-2-1-111000−333−30000-333-300−23233−3−33000000000000000000000000000000
χ784-4-44-2-2-442-2-22221001-1-100−232323−232-22-2-1-1110003−3−3300003-3-3300−23233−3−33000000000000000000000000000000
χ794-4-44-2-2-442-2-22221001-1-100−232323−232-22-2-1-1110003−3−330000-333-30023−23−333−3000000000000000000000000000000
χ8088-8-88-40084-8-44-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-4-848-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-444-444200-22-200000000006i−6i6i−6i00000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-444-444200-22-20000000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000
χ848-88-88-400-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-48004-84-88-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-4200-2-2200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004444-4-4200-2-220000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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