Finite Group Databasebeta

← Group #11889444

Character table — Group #11889444

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222224444444444888888888888121212121616161616161616181824242424242424242424242424243636363636363648484848
order122233446666663666881212121244121224242424242424242444121212121212121222444468812121224242424444448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111111-1-11-11-11-11-1-11-1-111-1-1-1-1-1-1-11-1-11
χ3111111111111111111111111111111111111-111-111111111-1-1-11-11-11-111-111-1-1-1-1-1-1-1-1-1-111-1
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
χ6111111111111111111111111-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-1-11111-111-1-1-111-1
χ7111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111-111-1-111-111-1-11-1-11
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
χ9111111111111111111-1-111111-111-1-1-1-1-1-1-1-1111111-1-111-1-111-111-11-1-1111-1-1-1-1111-1-1-1-1-11-11
χ10111111111111111111-1-111111-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-11111-1-1-1111-1-1-1-1-11111-1-111
χ11111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-1-1111111-1-1
χ12111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-11-111-1-1-11111111-1-1-1-11-11-1
χ13111111111111111111-1-11111-1111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-111-1-1111-1-1-1-1-1-1111-1-11-11-1
χ14111111111111111111-1-11111-1111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-1-1111-1-111-1-1-11111-1-1
χ15111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-1111-1-1-11111-1-1-111-1-111
χ16111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1-1-11111-1-1111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-200-2-20000000022-2-200000000-2-20000200-22-2000000200000000
χ18222222-2-2222222222200-2-2-2-200-2-2000000002-22-2000000002200002002-2-2000000-200000000
χ19222222-2-2222222222200-2-2-2-200-2-200000000-22-2200000000220000-200-222000000-200000000
χ20222222-2-2222222222200-2-2-2-200-2-200000000-2-22200000000-2-20000-2002-22000000200000000
χ2122222-122-12-122-1-1-1-1-122-122-122-1-122-1-1-1-1-1-12002-122-1-1-1-1-1002020-10200-100-1-10000000-100-1
χ2222222-122-12-122-1-1-1-1-122-122-122-1-122-1-1-1-1-1-1-200-2-122-1-1-1-1-100-20-2010-2001001100000001001
χ2322222-122-12-122-1-1-1-1-122-122-1-2-2-1-122-1-1-1-1-1-120021-2-21111100-20-20-10200-100-1-100000001001
χ2422222-122-12-122-1-1-1-1-122-122-1-2-2-1-122-1-1-1-1-1-1-200-21-2-21111100202010-200100110000000-100-1
χ2522222-122-12-122-1-1-1-1-1-2-2-122-12-2-1-1-2-21111112002-12-21-1-11100-2020-10-200-100110000000100-1
χ2622222-122-12-122-1-1-1-1-1-2-2-122-12-2-1-1-2-2111111-200-2-12-21-1-1110020-2010200100-1-10000000-1001
χ2722222-122-12-122-1-1-1-1-1-2-2-122-1-22-1-1-2-211111120021-22-111-1-10020-20-10-200-100110000000-1001
χ2822222-122-12-122-1-1-1-1-1-2-2-122-1-22-1-1-2-2111111-200-21-22-111-1-100-202010200100-1-10000000100-1
χ292222-12222-12-1-12-1-1-1-1222-1-1222-1-1-1-122-1-1-1-102202-1-12-1-1-1-1000202020-1-10-1-10000000000-1-10
χ302222-12222-12-1-12-1-1-1-1222-1-1222-1-1-1-122-1-1-1-10-2-202-1-12-1-1-1-1000-20-20-20110110000000000110
χ312222-12222-12-1-12-1-1-1-1222-1-12-2-2-1-1-1-122-1-1-1-10220-211-21111000-20-2020-1-10-1-10000000000110
χ322222-12222-12-1-12-1-1-1-1222-1-12-2-2-1-1-1-122-1-1-1-10-2-20-211-211110002020-20110110000000000-1-10
χ332222-12222-12-1-12-1-1-1-1-2-22-1-122-2-1-111-2-2111102202-11-2-1-11100020-20-20-1-10110000000000-110
χ342222-12222-12-1-12-1-1-1-1-2-22-1-122-2-1-111-2-211110-2-202-11-2-1-111000-202020110-1-100000000001-10
χ352222-12222-12-1-12-1-1-1-1-2-22-1-12-22-1-111-2-211110220-21-1211-1-1000-2020-20-1-101100000000001-10
χ362222-12222-12-1-12-1-1-1-1-2-22-1-12-22-1-111-2-211110-2-20-21-1211-1-100020-2020110-1-10000000000-110
χ372-2-22222-2-2-2-22-222-2-222i−2i2-22-2002-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000002i−2i02-2000000
χ382-2-22222-2-2-2-22-222-2-222i−2i2-22-2002-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i0-22000000
χ392-2-22222-2-2-2-22-222-2-22−2i2i2-22-2002-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000002i−2i0-22000000
χ402-2-22222-2-2-2-22-222-2-22−2i2i2-22-2002-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000−2i2i02-2000000
χ4144444-2-4-4-24-244-2-2-2-2-2002-4-42002200000000400-400000000000000-200002000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-2002-4-42002200000000-40040000000000000020000-2000000000000000
χ434444-24-4-44-24-2-24-2-2-2-200-422-400220000000004-40000000000000000002-20000000000000000
χ444444-24-4-44-24-2-24-2-2-2-200-422-40022000000000-44000000000000000000-220000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-24411-2-2-2-211110000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-411-2-2-2-2111100002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4112222-1-1-1-10000-2-22211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-44112222-1-1-1-1000022-2-2-1-111000000000000000000000000000
χ4944-4-44400-4-44-44-444-4-400000000000000000000000000000000000000000000000000022−220000
χ5044-4-44400-4-44-44-444-4-4000000000000000000000000000000000000000000000000000−22220000
χ514-44-4440044-4-4-4-44-44-40000000000000000000000000000004-40000000000000000000000000
χ524-44-4440044-4-4-4-44-44-4000000000000000000000000000000-440000000000000000000000000
χ534-4-4444-44-4-4-44-444-4-4400-44-4400-4400000000000000000000000000000000000000000000000
χ544-4-444-24-42-424-4-2-222-24i−4i-2-44200-224i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ554-4-444-24-42-424-4-2-222-2−4i4i-2-44200-22−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ564-4-444-2-442-424-4-2-222-20024-4-2002-20000000000000000000000000000000000−2i32i300000000000
χ574-4-444-2-442-424-4-2-222-20024-4-2002-200000000000000000000000000000000002i3−2i300000000000
χ584-4-44-244-4-42-4-224-222-24i−4i42-2-400-22−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000
χ594-4-44-244-4-42-4-224-222-2−4i4i42-2-400-222i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000
χ604-4-44-24-44-42-4-224-222-200-4-224002-20000000000000000000000000000000023−230000000000000
χ614-4-44-24-44-42-4-224-222-200-4-224002-200000000000000000000000000000000−23230000000000000
χ624-4-44-2-24-4222-22-21-1-114i−4i-22-22001-1−2i2i−2i2iii−i−i000000003i−3i3-3000000000000000000000000000
χ634-4-44-2-24-4222-22-21-1-114i−4i-22-22001-1−2i2i−2i2iii−i−i00000000−3i3i-33000000000000000000000000000
χ644-4-44-2-24-4222-22-21-1-11−4i4i-22-22001-12i−2i2i−2i−i−iii000000003i−3i-33000000000000000000000000000
χ654-4-44-2-24-4222-22-21-1-11−4i4i-22-22001-12i−2i2i−2i−i−iii00000000−3i3i3-3000000000000000000000000000
χ668888-4-4-8-8-4-4-4-4-4-4222200444400-2-200000000000000000000000000000000000000000000000
χ6788-8-88-4004-8-4-884-4-444000000000000000000000000000000000000000000000000000000000
χ6888-8-8-4800-8484-4-8-4-444000000000000000000000000000000000000000000000000000000000
χ6988-8-8-4-40044-44-4422-2-20000000000000032−3232−32000000000000000000000000000000000000000
χ7088-8-8-4-40044-44-4422-2-200000000000000−3232−3232000000000000000000000000000000000000000
χ718-88-88-400-484-8-84-44-44000000000000000000000000000000000000000000000000000000000
χ728-88-8-48008-4-844-8-44-44000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400-4-444442-22-200000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ748-88-8-4-400-4-444442-22-2000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ758-8-88-4-4-88444-44-42-2-22004-44-400-2200000000000000000000000000000000000000000000000

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