Finite Group Databasebeta

← Group #11889278

Character table — Group #11889278

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order1222334466666634466612121212121244121212121212121212228888121212121212121244244668812122424242424242424224446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-1-11-111-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-11-11-1-11-1-1-11111-1-1-1-1-1-1-1-1-111-1
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
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1111111-1-1-1-1-1-111-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-11-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-1-1-1-1-1-11111-1-111-1111
χ9111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1111-1-1-1-111-1-111-1-11-111-1-11-1
χ10111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11-1-1111-1-1-1-1-11111-1-1-11-1-111-11
χ11111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-111111-1-1-1-111-11-1-11-111
χ12111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11111-1-111-1-1111-111-11-1-1
χ13111111111111111-1-11111-1-1111-11-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11-1-111-11-1-111-1-1-1-111-111111-1-1
χ14111111111111111-1-11111-1-1111-11-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111111-1-1-1-111-1-1111-1-1-1-1-111
χ15111111111111111-1-11111-1-1111-11-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-11111-1-111-1-11-1-1-1-11-11
χ16111111111111111-1-11111-1-1111-11-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111-1-11-111-1-11111-1-1-11111-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-200-222-2-2-2-222000000000000002200000000000000000-2-2002000
χ18222222-2-222222222-2222-2-2-2-2-2-200-222-2-2-2-22200000000000000-2-2000000000000000002200-2000
χ19222222-2-22222222-22222-222-2-2-2002-2-2-2-222-2-2000000000000002200000000000000000-2200-2000
χ20222222-2-22222222-22222-222-2-2-2002-2-2-2-222-2-200000000000000-2-2000000000000000002-2002000
χ2122222-1222-12-12-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-10000222-12-1-1-1-1-100202002000-1-1-1-1000000000-1-10
χ2222222-1222-12-12-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-10000-2-22-12-1-1-1-1-100-20-200-20001111000000000110
χ2322222-1222-12-12-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-1000022-21-21111100-20-2002000-1-1-1-1000000000110
χ2422222-1222-12-12-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-10000-2-2-21-2111110020200-20001111000000000-1-10
χ2522222-1222-12-12-1-1-2-2-1-1-12-2-2-1-122-21-21-1-111110000222-1-21-1-11100-20200-2000-1-1110000000001-10
χ2622222-1222-12-12-1-1-2-2-1-1-12-2-2-1-122-21-21-1-111110000-2-22-1-21-1-1110020-200200011-1-1000000000-110
χ2722222-1222-12-12-1-1-2-2-1-1-12-2-2-1-12-221-21-1-11111000022-212-111-1-10020-200-2000-1-111000000000-110
χ2822222-1222-12-12-1-1-2-2-1-1-12-2-2-1-12-221-21-1-111110000-2-2-212-111-1-100-20200200011-1-10000000001-10
χ292222-1222-12-12-12-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-1222200-12-12-1-1-1-100020-1-102-1-10000-1-1-1-100000000
χ302222-1222-12-12-12-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-1-2-2-2-200-12-12-1-1-1-1000-20110-2110000111100000000
χ312222-1222-12-12-12-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-122-2-2001-21-2111100020-1-10-2-1-10000111100000000
χ322222-1222-12-12-12-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-1-2-222001-21-21111000-201102110000-1-1-1-100000000
χ332222-1222-12-12-12-1-2-2-1-1-1-11122-12-2-21-2-1-11111222200-121-2-1-111000-20-1-10-2110000-1-11100000000
χ342222-1222-12-12-12-1-2-2-1-1-1-11122-12-2-21-2-1-11111-2-2-2-200-121-2-1-111000201102-1-1000011-1-100000000
χ352222-1222-12-12-12-1-2-2-1-1-1-11122-1-22-21-2-1-1111122-2-2001-2-1211-1-1000-20-1-10211000011-1-100000000
χ362222-1222-12-12-12-1-2-2-1-1-1-11122-1-22-21-2-1-11111-2-222001-2-1211-1-100020110-2-1-10000-1-11100000000
χ372-2-22222-22-2-2-2-222002-2-22002-2-2000002-200002-2002i−2i00000000000002-200002i−2i000000002i−2i0000
χ382-2-22222-22-2-2-2-222002-2-22002-2-2000002-200002-200−2i2i00000000000002-20000−2i2i00000000−2i2i0000
χ392-2-22222-22-2-2-2-222002-2-22002-2-2000002-20000-22002i−2i0000000000000-2200002i−2i00000000−2i2i0000
χ402-2-22222-22-2-2-2-222002-2-22002-2-2000002-20000-2200−2i2i0000000000000-220000−2i2i000000002i−2i0000
χ4144444-2-4-44-24-24-2-24-4-2-2-2-4-4-422-40024-22222-2-200000000000000000000000000000000000000000
χ4244444-2-4-44-24-24-2-2-44-2-2-2-44422-400-2-4222-2-22200000000000000000000000000000000000000000
χ434444-24-4-4-24-24-24-24-4-2-2-2222-4-4200-4-242222-2-200000000000000000000000000000000000000000
χ444444-24-4-4-24-24-24-2-44-2-2-22-2-2-4-420042-422-2-22200000000000000000000000000000000000000000
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
χ474444-2-244-2-2-2-2-2-21-4-4111-222-2-2-24-422211-1-1-1-1000000-2-22211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-222-2-2-2-4422211-1-1-1-100000022-2-2-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-4111222222002-2-2-1-1-1-11100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-4111222222002-2-2-1-1-1-1110000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-441112-2-222200-222-1-111-1-100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112-2-222200-222-1-111-1-10000000000-333-3000000000000000000000000000
χ5344-4-44400-4-444-4-4400-4-4400000000000000000000000000000004i−4i0000000000000000000000000
χ5444-4-44400-4-444-4-4400-4-440000000000000000000000000000000−4i4i0000000000000000000000000
χ554-44-44400-44-4-44-4400-44-40000000000000000000−2i22i20000000000000000000000000−2i22i20000000000
χ564-44-44400-44-4-44-4400-44-400000000000000000002i2−2i200000000000000000000000002i2−2i20000000000
χ574-44-4-2400242-4-2-4-2002-220−2i32i30000000000−2i32i30000−2i22i20000000000000000000000000i2−i26−600000000
χ584-44-4-2400242-4-2-4-2002-220−2i32i30000000000−2i32i300002i2−2i20000000000000000000000000−i2i2−6600000000
χ594-44-4-2400242-4-2-4-2002-2202i3−2i300000000002i3−2i30000−2i22i20000000000000000000000000i2−i2−6600000000
χ604-44-4-2400242-4-2-4-2002-2202i3−2i300000000002i3−2i300002i2−2i20000000000000000000000000−i2i26−600000000
χ614-4-4444-444-4-4-4-444004-4-4-400-44400000-44000000000000000000000000000000000000000000000
χ624-4-444-24-442-42-4-2-200-222400-22-400000-22000000004i−4i0000000000000000000−2i2i00000000000000
χ634-4-444-24-442-42-4-2-200-222400-22-400000-2200000000−4i4i00000000000000000002i−2i00000000000000
χ644-4-444-2-4442-42-4-2-200-222-4002-24000002-2000000000000000000000000000000023−23000000000000
χ654-4-444-2-4442-42-4-2-200-222-4002-24000002-20000000000000000000000000000000−2323000000000000
χ664-4-44-244-4-2-42-424-200-222-2004-4200000-2200004-400000000000000000-2200000000000000000000
χ674-4-44-244-4-2-42-424-200-222-2004-4200000-220000-44000000000000000002-200000000000000000000
χ684-4-44-24-44-2-42-424-200-222200-44-2000002-200000000000000000000000000023−230000000000000000
χ694-4-44-24-44-2-42-424-200-222200-44-2000002-2000000000000000000000000000−23230000000000000000
χ7088-8-88-400-848-4-84-40044-40000000000000000000000000000000000000000000000000000000000
χ7188-8-8-48004-8-484-8-40044-40000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-40044-4-444200-2-220000000000000006-600000000000000000000000000000000000000000
χ7388-8-8-4-40044-4-444200-2-22000000000000000-6600000000000000000000000000000000000000000
χ748-88-88-400-8-4-8484-4004-440000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-4004-444-44200-22-20−4i34i300000000002i3−2i30000000000000000000000000000000000000000000
χ768-88-8-4-4004-444-44200-22-204i3−4i30000000000−2i32i30000000000000000000000000000000000000000000
χ778-8-88-4-48-8-44444-42002-2-2-400-444000002-2000000000000000000000000000000000000000000000
χ788-8-88-4-4-88-44444-42002-2-24004-4-400000-22000000000000000000000000000000000000000000000

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