Finite Group Databasebeta

← Group #11889290

Character table — Group #11889290

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222224444444444888888888888121212121616161616161616181824242424242424242424242424243636363636363648484848
order12223344666666366688121212124412122424242424242424244412121212121212124424446881212122424242422244886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-11-111111111-1-1-1-1111-11-1-11-1-111-1-1-1-1-1-1-1-11-11
χ3111111111111111111111111111111111111-11-1111111111-1-111-1-1-11-111-111-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ5111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-11-1-111-11111-1-11-11-1
χ7111111111111111111111111-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-111-11-111-111-1-1-11111-1-1-11-11
χ8111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111
χ9111111111111111111-1-111111-111-1-1-1-1-1-1-1-111111-11-111-1-111-111-11-1-1111-1-1-1-11-1-111-1-1-1-111
χ10111111111111111111-1-111111-111-1-1-1-1-1-1-1-11-11-11-11-111-1-1-1-11-11-111-1-1-1111-1-1-111-1-1111-1-11
χ11111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-11-11-1-1111-1-1-111-111-1-111-111-1
χ12111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111-1-11-111-1-1-111111-1-111-1-111-1-1
χ13111111111111111111-1-11111-1111-1-1-1-1-1-1-1-11111-11-11-1-111111-1-111-1-1111-1-1-1-1111-1-1-1-111-1-1
χ14111111111111111111-1-11111-1111-1-1-1-1-1-1-1-11-11-1-11-11-1-111-1-1-11-1111-1-1-1111-1-1-1-1-11111-111-1
χ15111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-11-11-1-1-1111-1-1-111-1-1-111111-1-11
χ16111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-111-1-111-1-1-11111111-1-1-1-1-1-111
χ17222222-2-2222222222200-2-2-2-200-2-20000000022-2-200000000-2-20000200-22-2000020000000000
χ18222222-2-2222222222200-2-2-2-200-2-2000000002-2-22000000002200002002-2-20000-20000000000
χ19222222-2-2222222222200-2-2-2-200-2-200000000-222-200000000220000-200-2220000-20000000000
χ20222222-2-2222222222200-2-2-2-200-2-200000000-2-22200000000-2-20000-2002-22000020000000000
χ2122222-1222-1-12-12-1-1-1-1222-1-1222-1-1-1-122-1-1-1-102022-1-12-1-1-1-1002200020-1-10-1-1000000000-10-10
χ2222222-1222-1-12-12-1-1-1-1222-1-1222-1-1-1-122-1-1-1-10-20-22-1-12-1-1-1-100-2-2000-20110110000000001010
χ2322222-1222-1-12-12-1-1-1-1222-1-12-2-2-1-1-1-122-1-1-1-10202-211-2111100-2-200020-1-10-1-10000000001010
χ2422222-1222-1-12-12-1-1-1-1222-1-12-2-2-1-1-1-122-1-1-1-10-20-2-211-211110022000-2011011000000000-10-10
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-122-2-1-111-2-21111020221-1-2-1-11100-22000-20-1-101100000000010-10
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-122-2-1-111-2-211110-20-221-1-2-1-111002-200020110-1-1000000000-1010
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-12-22-1-111-2-211110202-2-11211-1-1002-2000-20-1-1011000000000-1010
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-12-22-1-111-2-211110-20-2-2-11211-1-100-2200020110-1-100000000010-10
χ292222-1222-122-12-1-1-1-1-122-122-122-1-122-1-1-1-1-1-12020-122-1-1-1-1-1000022-10200-100-1-100000000-10-1
χ302222-1222-122-12-1-1-1-1-122-122-122-1-122-1-1-1-1-1-1-20-20-122-1-1-1-1-10000-2-210-2001001100000000101
χ312222-1222-122-12-1-1-1-1-122-122-1-2-2-1-122-1-1-1-1-1-120201-2-2111110000-2-2-10200-100-1-100000000101
χ322222-1222-122-12-1-1-1-1-122-122-1-2-2-1-122-1-1-1-1-1-1-20-201-2-21111100002210-2001001100000000-10-1
χ332222-1222-122-12-1-1-1-1-1-2-2-122-12-2-1-1-2-21111112020-1-221-1-11100002-2-10-200-100110000000010-1
χ342222-1222-122-12-1-1-1-1-1-2-2-122-12-2-1-1-2-2111111-20-20-1-221-1-1110000-2210200100-1-100000000-101
χ352222-1222-122-12-1-1-1-1-1-2-2-122-1-22-1-1-2-2111111202012-2-111-1-10000-22-10-200-1001100000000-101
χ362222-1222-122-12-1-1-1-1-1-2-2-122-1-22-1-1-2-2111111-20-2012-2-111-1-100002-210200100-1-10000000010-1
χ372-22-2222-2-22-2-2-222-2-222i−2i2-22-2002-22i−2i2i−2i2i2i−2i−2i000000000000000000000000000002-22i−2i000000
χ382-22-2222-2-22-2-2-222-2-222i−2i2-22-2002-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000000-22−2i2i000000
χ392-22-2222-2-22-2-2-222-2-22−2i2i2-22-2002-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000000002-2−2i2i000000
χ402-22-2222-2-22-2-2-222-2-22−2i2i2-22-2002-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000-222i−2i000000
χ4144444-2-4-44-2-24-24-2-2-2-200-422-4002200000000040-4000000000000000002-20000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-200-422-40022000000000-40400000000000000000-220000000000000000
χ434444-24-4-4-244-24-2-2-2-2-2002-4-4200220000000040-4000000000000000-200002000000000000000
χ444444-24-4-4-244-24-2-2-2-2-2002-4-42002200000000-40400000000000000020000-2000000000000000
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
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4112222-1-1-1-10000-22-2211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-44112222-1-1-1-100002-22-2-1-111000000000000000000000000000
χ4944-4-444004-4-4-44-44-44-40000000000000000000000000000004i−4i0000000000000000000000000
χ5044-4-444004-4-4-44-44-44-4000000000000000000000000000000−4i4i0000000000000000000000000
χ514-44-444-44-44-4-4-444-4-4400-44-4400-4400000000000000000000000000000000000000000000000
χ524-44-44-24-4-4-22-424-222-24i−4i42-2-400-22−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000
χ534-44-44-24-4-4-22-424-222-2−4i4i42-2-400-222i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000
χ544-44-44-2-44-4-22-424-222-200-4-224002-20000000000000000000000000000000023−230000000000000
χ554-44-44-2-44-4-22-424-222-200-4-224002-200000000000000000000000000000000−23230000000000000
χ564-44-4-244-424-42-4-2-222-24i−4i-2-44200-224i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ574-44-4-244-424-42-4-2-222-2−4i4i-2-44200-22−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ584-44-4-24-4424-42-4-2-222-20024-4-2002-20000000000000000000000000000000000−2i32i300000000000
χ594-44-4-24-4424-42-4-2-222-20024-4-2002-200000000000000000000000000000000002i3−2i300000000000
χ604-44-4-2-24-42-2222-21-1-114i−4i-22-22001-1−2i2i−2i2iii−i−i000000003i−3i3-3000000000000000000000000000
χ614-44-4-2-24-42-2222-21-1-114i−4i-22-22001-1−2i2i−2i2iii−i−i00000000−3i3i-33000000000000000000000000000
χ624-44-4-2-24-42-2222-21-1-11−4i4i-22-22001-12i−2i2i−2i−i−iii000000003i−3i-33000000000000000000000000000
χ634-44-4-2-24-42-2222-21-1-11−4i4i-22-22001-12i−2i2i−2i−i−iii00000000−3i3i3-3000000000000000000000000000
χ644-4-444400-4-444-4-444-4-4000000000000000000000000000000000000000000000000000−2i22i20000
χ654-4-444400-4-444-4-444-4-40000000000000000000000000000000000000000000000000002i2−2i20000
χ668888-4-4-8-8-4-4-4-4-4-4222200444400-2-200000000000000000000000000000000000000000000000
χ6788-8-88-400844-8-4-8-44-44000000000000000000000000000000000000000000000000000000000
χ6888-8-8-4800-4-8-8484-44-44000000000000000000000000000000000000000000000000000000000
χ6988-8-8-4-400-4444-442-22-200000000000000−3i23i2−3i23i2000000000000000000000000000000000000000
χ7088-8-8-4-400-4444-442-22-2000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000
χ718-88-8-4-4-884-4444-42-2-22004-44-400-2200000000000000000000000000000000000000000000000
χ728-8-888-400-84-484-8-4-444000000000000000000000000000000000000000000000000000000000
χ738-8-88-48004-88-4-84-4-444000000000000000000000000000000000000000000000000000000000
χ748-8-88-4-40044-4-44422-2-20000000000000032−32−3232000000000000000000000000000000000000000
χ758-8-88-4-40044-4-44422-2-200000000000000−323232−32000000000000000000000000000000000000000

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