Finite Group Databasebeta

← Group #11889456

Character table — Group #11889456

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order1222334466666634466612121212121244121212121212121212448888121212121212121222444881212121224242424242424242444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-1-1-11-111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-111-1-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11-1-11111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111111-1-111-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-111-1-1111
χ9111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1111111111-11-111-1-1111-1-1-1-111-1-111-1-111-1-1-1111-11-1-1
χ10111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-11-11-111-1-1-1-1-11-11-111-1-1-1-11111-1-11-1-1-11-111
χ11111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-111-1-1-1-11-11-11-1-11111-1-1-1-1111-1-1-111-11
χ12111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-111-1-111-11111-1-111-1-111-1-111-1111-1-11-1
χ13111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-11111-1-111-11-11-1-111-1-1-11-1-1111-1-111-1-1-1-111111-11-11-1
χ14111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111111-1-11111-1-1-1-111-1-111-1-1-11-11-11
χ15111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-111-1-11111-11-11-1-11111-111-1-1-1-11111-1-111-1-1-1-1-11-1-111
χ16111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-111-1-111-1-1-11-11-1-111-1-11-111-1-1-111-1-11111-1-1111-111-1-1
χ17222222-2-222222222-2222-2-2-2-2-2-20022-222-2-2-2-2000000000000002200000000000000000200-2-2000
χ18222222-2-222222222-2222-2-2-2-2-2-20022-222-2-2-2-200000000000000-2-200000000000000000-20022000
χ19222222-2-22222222-2222222-2-2-2-200-2-22-2-222-2-2000000000000002200000000000000000-200-22000
χ20222222-2-22222222-2222222-2-2-2-200-2-22-2-222-2-200000000000000-2-2000000000000000002002-2000
χ2122222-1222-12-1-12-122-1-1-1222-1-12222-1-1-1-1-1-1-1-1000022-1-122-1-1-1-100220200000-1-1-1-1000000000-1-10
χ2222222-1222-12-1-12-122-1-1-1222-1-12222-1-1-1-1-1-1-1-10000-2-2-1-122-1-1-1-100-2-20-2000001111000000000110
χ2322222-1222-12-1-12-122-1-1-1222-1-12-2-22-1-1-1-1-1-1-1-100002211-2-2111100-2-20200000-1-1-1-1000000000110
χ2422222-1222-12-1-12-122-1-1-1222-1-12-2-22-1-1-1-1-1-1-1-10000-2-211-2-2111100220-2000001111000000000-1-10
χ2522222-1222-12-1-12-1-2-2-1-1-1-2-22-1-122-2-2111111-1-1000022-112-2-1-111002-20-200000-1-111000000000-110
χ2622222-1222-12-1-12-1-2-2-1-1-1-2-22-1-122-2-2111111-1-10000-2-2-112-2-1-11100-22020000011-1-10000000001-10
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-22-1-12-22-2111111-1-10000221-1-2211-1-100-220-200000-1-1110000000001-10
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-22-1-12-22-2111111-1-10000-2-21-1-2211-1-1002-2020000011-1-1000000000-110
χ292222-1222-12-122-1-122-1-1-1-1-1-122-122-122-1-1-1-1-1-122220022-1-1-1-1-1-10000202-1-1-1-10000-1-1-1-100000000
χ302222-1222-12-122-1-122-1-1-1-1-1-122-122-122-1-1-1-1-1-1-2-2-2-20022-1-1-1-1-1-10000-20-211110000111100000000
χ312222-1222-12-122-1-122-1-1-1-1-1-122-1-2-2-122-1-1-1-1-1-122-2-200-2-2111111000020-2-1-1-1-10000111100000000
χ322222-1222-12-122-1-122-1-1-1-1-1-122-1-2-2-122-1-1-1-1-1-1-2-22200-2-21111110000-20211110000-1-1-1-100000000
χ332222-1222-12-122-1-1-2-2-1-1-111-122-12-21-2-21111-1-12222002-2-11-1-1110000-20-2-1-1110000-1-11100000000
χ342222-1222-12-122-1-1-2-2-1-1-111-122-12-21-2-21111-1-1-2-2-2-2002-2-11-1-111000020211-1-1000011-1-100000000
χ352222-1222-12-122-1-1-2-2-1-1-111-122-1-221-2-21111-1-122-2-200-221-111-1-10000-202-1-111000011-1-100000000
χ362222-1222-12-122-1-1-2-2-1-1-111-122-1-221-2-21111-1-1-2-22200-221-111-1-1000020-211-1-10000-1-11100000000
χ372-2-22222-2-22-2-2-22200-2-220022-2-20000000002-22i−2i002i−2i0000000000000002i−2i002i−2i00000002-200000
χ382-2-22222-2-22-2-2-22200-2-220022-2-20000000002-22i−2i00−2i2i0000000000000002i−2i00−2i2i0000000-2200000
χ392-2-22222-2-22-2-2-22200-2-220022-2-20000000002-2−2i2i002i−2i000000000000000−2i2i002i−2i0000000-2200000
χ402-2-22222-2-22-2-2-22200-2-220022-2-20000000002-2−2i2i00−2i2i000000000000000−2i2i00−2i2i00000002-200000
χ4144444-2-4-44-24-2-24-24-4-2-2-2-4-4-422-4004-22-2-2222200000000000000000000000000000000000000000
χ4244444-2-4-44-24-2-24-2-44-2-2-244-422-400-42-222-2-22200000000000000000000000000000000000000000
χ434444-24-4-4-24-244-2-24-4-2-2-2222-4-4200-24-4-2-2222200000000000000000000000000000000000000000
χ444444-24-4-4-24-244-2-2-44-2-2-2-2-22-4-42002-4422-2-22200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-244-2-2-2111111000000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-4-4-2-2-21111110000002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411122-2-2-2-24-4222-1-1-1-111000000-22-2211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2-44222-1-1-1-1110000002-22-2-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-411122222200-2-2211-1-1-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-411122222200-2-2211-1-1-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-44111-2-222220022-2-1-111-1-100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111-2-222220022-2-1-111-1-10000000000-333-3000000000000000000000000000
χ5344-4-44400-4-444-4-44004-4-400000000000000000000000000000004-40000000000000000000000000
χ5444-4-44400-4-444-4-44004-4-40000000000000000000000000000000-440000000000000000000000000
χ554-44-444004-4-4-44-4400-44-4000000000000000000022−22000000000000000000000000022−220000000000
χ564-44-444004-4-4-44-4400-44-40000000000000000000−22220000000000000000000000000−22220000000000
χ574-44-4-2400-2-42-442-2002-22−2i32i300000000000−2i32i3000022−220000000000000000000000000−22i6−i600000000
χ584-44-4-2400-2-42-442-2002-22−2i32i300000000000−2i32i30000−222200000000000000000000000002−2−i6i600000000
χ594-44-4-2400-2-42-442-2002-222i3−2i3000000000002i3−2i3000022−220000000000000000000000000−22−i6i600000000
χ604-44-4-2400-2-42-442-2002-222i3−2i3000000000002i3−2i30000−222200000000000000000000000002−2i6−i600000000
χ614-4-4444-44-44-4-4-44400-4-4400-4-444000000000-4400000000000000000000000000000000000000000
χ624-4-444-24-4-4-2-4224-20022-2004-22-4000000000-2200004i−4i0000000000000000000−2i2i00000000000000
χ634-4-444-24-4-4-2-4224-20022-2004-22-4000000000-220000−4i4i00000000000000000002i−2i00000000000000
χ644-4-444-2-44-4-2-4224-20022-200-42-240000000002-200000000000000000000000000023−23000000000000
χ654-4-444-2-44-4-2-4224-20022-200-42-240000000002-2000000000000000000000000000−2323000000000000
χ664-4-44-244-4242-4-4-2-20022-200-24-42000000000-224i−4i0000000000000000000−2i2i000000000000000000
χ674-4-44-244-4242-4-4-2-20022-200-24-42000000000-22−4i4i00000000000000000002i−2i000000000000000000
χ684-4-44-24-44242-4-4-2-20022-2002-44-20000000002-200000000000000000000000−2i32i30000000000000000
χ694-4-44-24-44242-4-4-2-20022-2002-44-20000000002-2000000000000000000000002i3−2i30000000000000000
χ7088-8-88-400-848-44-8-400-4440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-48004-8-48-84-400-4440000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-40044-4-4442002-2-2000000000006-6000000000000000000000000000000000000000000000
χ7388-8-8-4-40044-4-4442002-2-200000000000-66000000000000000000000000000000000000000000000
χ748-88-88-40084-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400-4444-44200-22-2−4i34i3000000000002i3−2i30000000000000000000000000000000000000000000
χ768-88-8-4-400-4444-44200-22-24i3−4i300000000000−2i32i30000000000000000000000000000000000000000000
χ778-8-88-4-48-84-4444-4200-2-2200-4-4440000000002-200000000000000000000000000000000000000000
χ788-8-88-4-4-884-4444-4200-2-220044-4-4000000000-2200000000000000000000000000000000000000000

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