Finite Group Databasebeta

← Group #11889302

Character table — Group #11889302

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order122233446666663446661212121212122412121212121212121244888866661212121244444881212121224242424242424242222412124
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
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-1-1-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1111-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1111111-1-1-1111
χ9111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-1111-1-111-1-111-1-1111-111-1-1
χ10111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-11-11111-1-1-1-11111-1-1-1-1-11-1-111
χ11111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-11-1-1-1-11111-1-1-1-111-1-1-11-11-11
χ12111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-111-1-111-1-111111-11-11-1
χ13111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-111111111-1-1-1-1111111-11-1-1-111-1-111-1-1-1-11111-11-1-11-1
χ14111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-11-111-1-1-1-111-1-111-1-11-111-11
χ15111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-111-11-1-11111-1-111-1-1-1-11-11-111
χ16111111111111111-1-1111-1-11111-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1111-1-111-1-11111-1-111-11-11-1-1
χ17222222-2-222222222-222222-2-2-2-200-2-2222-2-2-2-200000000000000220000000000000000000-2-22000
χ18222222-2-222222222-222222-2-2-2-200-2-2222-2-2-2-200000000000000-2-2000000000000000000022-2000
χ19222222-2-22222222-22222-2-2-2-2-2-20022-2-2-222-2-2000000000000002200000000000000000002-2-2000
χ20222222-2-22222222-22222-2-2-2-2-2-20022-2-2-222-2-200000000000000-2-20000000000000000000-222000
χ2122222-1222-12-1-12-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-12222002-1-1-12-1-1-10000202-1-1-1-10000-1-1-1-100000000
χ2222222-1222-12-1-12-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-1-2-2-2-2002-1-1-12-1-1-10000-20-211110000111100000000
χ2322222-1222-12-1-12-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-122-2-200-2111-2111000020-2-1-1-1-10000111100000000
χ2422222-1222-12-1-12-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-1-2-22200-2111-21110000-20211110000-1-1-1-100000000
χ2522222-1222-12-1-12-1-2-2-1-1-111-122-12-2-21-21111-1-122-2-2002-1-1-1-21110000-202-1-1110000-1-11100000000
χ2622222-1222-12-1-12-1-2-2-1-1-111-122-12-2-21-21111-1-1-2-222002-1-1-1-2111000020-211-1-1000011-1-100000000
χ2722222-1222-12-1-12-1-2-2-1-1-111-122-1-22-21-21111-1-1222200-21112-1-1-10000-20-2-1-111000011-1-100000000
χ2822222-1222-12-1-12-1-2-2-1-1-111-122-1-22-21-21111-1-1-2-2-2-200-21112-1-1-1000020211-1-10000-1-11100000000
χ292222-1222-12-122-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-1000022-12-1-1-12-1-100220200000-1-1-1-1000000000-1-10
χ302222-1222-12-122-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-10000-2-2-12-1-1-12-1-100-2-20-2000001111000000000110
χ312222-1222-12-122-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-10000221-2111-21100-2-20200000-1-1-1-1000000000110
χ322222-1222-12-122-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-10000-2-21-2111-21100220-2000001111000000000-1-10
χ332222-1222-12-122-1-1-2-2-1-1-1-2-22-1-122-21-211111-1-1000022-12-1-11-211002-20-200000-1-111000000000-110
χ342222-1222-12-122-1-1-2-2-1-1-1-2-22-1-122-21-211111-1-10000-2-2-12-1-11-21100-22020000011-1-10000000001-10
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-221-211111-1-10000221-211-12-1-100-220-200000-1-1110000000001-10
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-221-211111-1-10000-2-21-211-12-1-1002-2020000011-1-1000000000-110
χ372-2-22222-2-2-22-22-2200-2-220022-2-20000000002-22i−2i002i−2i0000000000000002i−2i002i−2i0000002-2000000
χ382-2-22222-2-2-22-22-2200-2-220022-2-20000000002-22i−2i00−2i2i0000000000000002i−2i00−2i2i000000-22000000
χ392-2-22222-2-2-22-22-2200-2-220022-2-20000000002-2−2i2i002i−2i000000000000000−2i2i002i−2i000000-22000000
χ402-2-22222-2-2-22-22-2200-2-220022-2-20000000002-2−2i2i00−2i2i000000000000000−2i2i00−2i2i0000002-2000000
χ4144444-2-4-44-24-2-24-24-4-2-2-2-2-22-4-4200-424-2-2222200000000000000000000000000000000000000000
χ4244444-2-4-44-24-2-24-2-44-2-2-2222-4-42004-2-422-2-22200000000000000000000000000000000000000000
χ434444-24-4-4-24-244-2-24-4-2-2-244-422-4002-4-2-2-2222200000000000000000000000000000000000000000
χ444444-24-4-4-24-244-2-2-44-2-2-2-4-4-422-400-24222-2-22200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-244-2-2-2111111000000-2-211-2-211000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-4-4-2-2-211111100000022-1-122-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411122-2-2-2-24-4222-1-1-1-111000000-2-21122-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2-44222-1-1-1-11100000022-1-1-2-211000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-4111-2-222220022-211-1-1-1-1000000003-3003-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-4111-2-222220022-211-1-1-1-100000000-3300-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-4411122222200-2-22-1-111-1-1000000003-300-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-4411122222200-2-22-1-111-1-100000000-33003-3000000000000000000000000000
χ5344-4-44400-44-4-4-444004-4-400000000000000000000000000000004i−4i0000000000000000000000000
χ5444-4-44400-44-4-4-444004-4-40000000000000000000000000000000−4i4i0000000000000000000000000
χ554-44-444004-4-44-4-4400-44-40000000000000000000−2i22i2000000000000000000000000000−2i22i200000000
χ564-44-444004-4-44-4-4400-44-400000000000000000002i2−2i20000000000000000000000000002i2−2i200000000
χ574-44-44-20042-4-22-4-2002-2223−2300000000023−23000000−2i22i20000000000000000000000000i6−i6i2−i200000000
χ584-44-44-20042-4-22-4-2002-2223−2300000000023−230000002i2−2i20000000000000000000000000−i6i6−i2i200000000
χ594-44-44-20042-4-22-4-2002-22−2323000000000−2323000000−2i22i20000000000000000000000000−i6i6i2−i200000000
χ604-44-44-20042-4-22-4-2002-22−2323000000000−23230000002i2−2i20000000000000000000000000i6−i6−i2i200000000
χ614-4-4444-44-4-44-44-4400-4-4400-4-444000000000-4400000000000000000000000000000000000000000
χ624-4-444-24-4-4242-2-4-20022-200-24-42000000000-224i−4i0000000000000000000−2i2i000000000000000000
χ634-4-444-24-4-4242-2-4-20022-200-24-42000000000-22−4i4i00000000000000000002i−2i000000000000000000
χ644-4-444-2-44-4242-2-4-20022-2002-44-20000000002-200000000000000000000000−2i32i30000000000000000
χ654-4-444-2-44-4242-2-4-20022-2002-44-20000000002-2000000000000000000000002i3−2i30000000000000000
χ664-4-44-244-42-4-2-442-20022-2004-22-4000000000-2200004i−4i0000000000000000000−2i2i00000000000000
χ674-4-44-244-42-4-2-442-20022-2004-22-4000000000-220000−4i4i00000000000000000002i−2i00000000000000
χ684-4-44-24-442-4-2-442-20022-200-42-240000000002-200000000000000000000000000023−23000000000000
χ694-4-44-24-442-4-2-442-20022-200-42-240000000002-2000000000000000000000000000−2323000000000000
χ7088-8-88-400-8-4-8448-400-4440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4800484-8-8-4-400-4440000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-4444-42002-2-200000000000006i−6i0000000000000000000000000000000000000000000
χ7388-8-8-4-4004-4444-42002-2-20000000000000−6i6i0000000000000000000000000000000000000000000
χ748-88-8-4800-4-848-84-4004-440000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400-444-444200-22-243−43000000000−2323000000000000000000000000000000000000000000000
χ768-88-8-4-400-444-444200-22-2−434300000000023−23000000000000000000000000000000000000000000000
χ778-8-88-4-48-844-44-44200-2-2200-4-4440000000002-200000000000000000000000000000000000000000
χ788-8-88-4-4-8844-44-44200-2-220044-4-4000000000-2200000000000000000000000000000000000000000

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