Finite Group Databasebeta

← Group #11889752

Character table — Group #11889752

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222224444444444888888888888121212121616161616161616181824242424242424242424242424243636363636363648484848
order12223344666666366688121212122412122424242424242424244466661212121222444468812121224242424224448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-11-111111111-1-11-11-11-11-11-1-1-111-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111111111111111-11-1111111111-1-1-11-11-11-11-1111-1-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ5111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11-1-111-1-1-1-1
χ6111111111111111111111111-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11-1-1-11111-111-1-11-1-11
χ7111111111111111111111111-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-11-11-1-11-11-1111-1-111-111-1-1-111-1
χ8111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111
χ9111111111111111111-1-111111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-11-1-1111-1-1-1-1111-1-1-1-111-1-1
χ10111111111111111111-1-111111-111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1-11111-11-11
χ11111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-1-1-111-11-1-111-1-1-111111-11-1
χ12111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-111-1-1-11111111-1-1-1-1-1-111
χ13111111111111111111-1-11111-1111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111-1-1111-1-1-1-1-1-1111-1-1-1-111
χ14111111111111111111-1-11111-1111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-111-1-111-1-11-111-1-111-1-1-1111-11-1
χ15111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-111-11-1-11111-1-1-111-11-11
χ16111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-11111-1-1111-1-111-1-1
χ17222222-2-2222222222200-2-2-2-200-2-20000000022-2-2000000002200002002-2-2000000-200000000
χ18222222-2-2222222222200-2-2-2-200-2-2000000002-2-2200000000-2-20000200-2-22000000200000000
χ19222222-2-2222222222200-2-2-2-200-2-200000000-222-200000000-2-20000-20022-2000000200000000
χ20222222-2-2222222222200-2-2-2-200-2-200000000-2-22200000000220000-200-222000000-200000000
χ2122222-122-122-1-12-1-1-1-122-122-122-1-122-1-1-1-1-1-120202-1-1-1-12-1-1002020-1020-1000-1-100000000-1-10
χ2222222-122-122-1-12-1-1-1-122-122-122-1-122-1-1-1-1-1-1-20-202-1-1-1-12-1-100-20-2010-2010001100000000110
χ2322222-122-122-1-12-1-1-1-122-122-1-2-2-1-122-1-1-1-1-1-12020-21111-21100-20-20-1020-1000-1-100000000110
χ2422222-122-122-1-12-1-1-1-122-122-1-2-2-1-122-1-1-1-1-1-1-20-20-21111-21100202010-2010001100000000-1-10
χ2522222-122-122-1-12-1-1-1-1-2-2-122-12-2-1-1-2-211111120202-1-1-11-21100-2020-10-20-10001100000000-110
χ2622222-122-122-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2111111-20-202-1-1-11-2110020-2010201000-1-1000000001-10
χ2722222-122-122-1-12-1-1-1-1-2-2-122-1-22-1-1-2-21111112020-2111-12-1-10020-20-10-20-100011000000001-10
χ2822222-122-122-1-12-1-1-1-1-2-2-122-1-22-1-1-2-2111111-20-20-2111-12-1-100-202010201000-1-100000000-110
χ292222-12222-1-122-1-1-1-1-1222-1-1222-1-1-1-122-1-1-1-10202-12-1-12-1-1-1000202020-10-1-1-1000000000-100-1
χ302222-12222-1-122-1-1-1-1-1222-1-1222-1-1-1-122-1-1-1-10-20-2-12-1-12-1-1-1000-20-20-20101110000000001001
χ312222-12222-1-122-1-1-1-1-1222-1-12-2-2-1-1-1-122-1-1-1-102021-211-2111000-20-2020-10-1-1-10000000001001
χ322222-12222-1-122-1-1-1-1-1222-1-12-2-2-1-1-1-122-1-1-1-10-20-21-211-21110002020-2010111000000000-100-1
χ332222-12222-1-122-1-1-1-1-1-2-22-1-122-2-1-111-2-211110202-12-1-1-211100020-20-20-10-111000000000-1001
χ342222-12222-1-122-1-1-1-1-1-2-22-1-122-2-1-111-2-211110-20-2-12-1-1-2111000-202020101-1-1000000000100-1
χ352222-12222-1-122-1-1-1-1-1-2-22-1-12-22-1-111-2-2111102021-2112-1-1-1000-2020-20-10-111000000000100-1
χ362222-12222-1-122-1-1-1-1-1-2-22-1-12-22-1-111-2-211110-20-21-2112-1-1-100020-2020101-1-1000000000-1001
χ372-22-2222-2-2-22-22-22-22-22i−2i2-22-2002-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000002-202i−2i000000
χ382-22-2222-2-2-22-22-22-22-22i−2i2-22-2002-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000-220−2i2i000000
χ392-22-2222-2-2-22-22-22-22-2−2i2i2-22-2002-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000002-20−2i2i000000
χ402-22-2222-2-2-22-22-22-22-2−2i2i2-22-2002-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000-2202i−2i000000
χ4144444-2-4-4-244-2-24-2-2-2-2002-4-4200220000000040-4000000000000000-200020000000000000000
χ4244444-2-4-4-244-2-24-2-2-2-2002-4-42002200000000-4040000000000000002000-20000000000000000
χ434444-24-4-44-2-244-2-2-2-2-200-422-4002200000000040-400000000000000000-202000000000000000
χ444444-24-4-44-2-244-2-2-2-2-200-422-40022000000000-4040000000000000000020-2000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-24411-2-2-2-211110000-2-211-2-211000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-411-2-2-2-21111000022-1-122-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4112222-1-1-1-10000-2-21122-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-44112222-1-1-1-1000022-1-1-2-211000000000000000000000000000
χ4944-4-4440044-4-4-4-444-4-40000000000000000000000000000004-40000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-4000000000000000000000000000000-440000000000000000000000000
χ514-44-444-44-4-44-44-44-44-400-44-4400-4400000000000000000000000000000000000000000000000
χ524-44-44-24-42-442-2-4-22-224i−4i-2-44200-224i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ534-44-44-24-42-442-2-4-22-22−4i4i-2-44200-22−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ544-44-44-2-442-442-2-4-22-220024-4-2002-20000000000000000000000000000000000−2i32i300000000000
χ554-44-44-2-442-442-2-4-22-220024-4-2002-200000000000000000000000000000000002i3−2i300000000000
χ564-44-4-244-4-42-2-442-22-224i−4i42-2-400-22−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000
χ574-44-4-244-4-42-2-442-22-22−4i4i42-2-400-222i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000
χ584-44-4-24-44-42-2-442-22-2200-4-224002-20000000000000000000000000000000023−230000000000000
χ594-44-4-24-44-42-2-442-22-2200-4-224002-200000000000000000000000000000000−23230000000000000
χ604-44-4-2-24-422-22-221-11-14i−4i-22-22001-1−2i2i−2i2iii−i−i0000003-3003i−3i000000000000000000000000000
χ614-44-4-2-24-422-22-221-11-14i−4i-22-22001-1−2i2i−2i2iii−i−i000000-3300−3i3i000000000000000000000000000
χ624-44-4-2-24-422-22-221-11-1−4i4i-22-22001-12i−2i2i−2i−i−iii0000003-300−3i3i000000000000000000000000000
χ634-44-4-2-24-422-22-221-11-1−4i4i-22-22001-12i−2i2i−2i−i−iii000000-33003i−3i000000000000000000000000000
χ644-4-444400-4-4-44-444-4-4400000000000000000000000000000000000000000000000000022−220000
χ654-4-444400-4-4-44-444-4-44000000000000000000000000000000000000000000000000000−22220000
χ668888-4-4-8-8-4-4-4-4-4-4222200444400-2-200000000000000000000000000000000000000000000000
χ6788-8-88-400-48-844-8-4-444000000000000000000000000000000000000000000000000000000000
χ6888-8-8-48008-44-8-84-4-444000000000000000000000000000000000000000000000000000000000
χ6988-8-8-4-400-4-4444422-2-200000000000000−3i23i2−3i23i2000000000000000000000000000000000000000
χ7088-8-8-4-400-4-4444422-2-2000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000
χ718-88-8-4-4-8844-44-442-22-2004-44-400-2200000000000000000000000000000000000000000000000
χ728-8-888-4004-8-8-448-444-4000000000000000000000000000000000000000000000000000000000
χ738-8-88-4800-8448-8-4-444-4000000000000000000000000000000000000000000000000000000000
χ748-8-88-4-400444-44-42-2-220000000000000032−32−3232000000000000000000000000000000000000000
χ758-8-88-4-400444-44-42-2-2200000000000000−323232−32000000000000000000000000000000000000000

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