Finite Group Databasebeta

← Group #11868628

Character table — Group #11868628

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order12223344666666344666881212121244444121212121212242424242424242444442244448888121212121212121212122244661212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-111-1-1-1111-1-1-1-111111111-1-1-1111-1-11-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1111-1-1-11111-1-1111111-1-11-1-1-111-11-1-111-1-1-1-1-11-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-111-1-1-1-11-111-1-11-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-1-1-1-11-1-111-1111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111-1-11-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1111-111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-1-11-1-1111-1-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-111-1-11-111-1-1-1111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000222200-200-200002222000000-2-2000000-2-200000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-200200-20000-2-22200000022000000-2200000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-200-2002000022-2-2000000220000002-200000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022220020020000-2-2-2-2000000-2-20000002200000000000
χ2122222-122-122-1-12-122-1-1-122-12-1222002-1-122-1-122-1-1-1-1-1-10000220002220000-1-1-12-1-1-1-10002-1-100-10-1-1000000-100
χ2222222-122-122-1-12-122-1-1-122-12-12-2-2002-1-122-1-122-1-1-1-1-1-10000-2-2000-2-2-2000011-12-1-1-1-1000-211001011000000100
χ2322222-122-122-1-12-122-1-1-1-2-2-12-122200-2-1-122-1-1-2-21111110000220002-2-20000-1-11-2-1-111000-2-1-100-1011000000100
χ2422222-122-122-1-12-122-1-1-1-2-2-12-12-2-200-2-1-122-1-1-2-21111110000-2-2000-2220000111-2-1-1110002110010-1-1000000-100
χ2522222-122-122-1-12-1-2-2-1-1-122-12-122200-211-2-2-1-122-1-1-1-1-1-10000-2-20002220000-1-11-21111000-21100-10-1-1000000100
χ2622222-122-122-1-12-1-2-2-1-1-122-12-12-2-200-211-2-2-1-122-1-1-1-1-1-1000022000-2-2-20000111-211110002-1-1001011000000-100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-12-122200211-2-2-1-1-2-21111110000-2-20002-2-20000-1-1-1211-1-100021100-1011000000-100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-12-12-2-200211-2-2-1-1-2-2111111000022000-222000011-1211-1-1000-2-1-10010-1-1000000100
χ292222-12222-1-122-1-122-1-1-1222-12-10022222-1-1-1-1-1-122-1-1-1-100000022200022-1-1002-1-1-1-1-1002000-1-10-100-1-100000-10
χ302222-12222-1-122-1-122-1-1-1222-12-100-2-2222-1-1-1-1-1-122-1-1-1-1000000-2-2-2000-2-211002-1-1-1-1-100-2000110100110000010
χ312222-12222-1-122-1-122-1-1-1-2-22-12-10022-222-1-1-1-111-2-21111000000222000-2-2-1-100-21-1-11100-2000-1-10-100110000010
χ322222-12222-1-122-1-122-1-1-1-2-22-12-100-2-2-222-1-1-1-111-2-21111000000-2-2-2000221100-21-1-111002000110100-1-100000-10
χ332222-12222-1-122-1-1-2-2-1-1-1222-12-10022-2-2-211-1-1-1-122-1-1-1-10000002-2-200022-1-100-21111100-2000110-100-1-10000010
χ342222-12222-1-122-1-1-2-2-1-1-1222-12-100-2-2-2-2-211-1-1-1-122-1-1-1-1000000-222000-2-21100-211111002000-1-101001100000-10
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-12-100222-2-211-1-111-2-211110000002-2-2000-2-2-1-1002-111-1-1002000110-1001100000-10
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-12-100-2-22-2-211-1-111-2-21111000000-2220002211002-111-1-100-2000-1-10100-1-10000010
χ3722-2-2222-22-22-2-2-2200-22-20022-2-20000000002-20000000022-2-22-202-20000000000000002-2002-22-20000000000000
χ3822-2-2222-22-22-2-2-2200-22-20022-2-20000000002-20000000022-2-2-220-220000000000000002-200-22-220000000000000
χ3922-2-2222-22-22-2-2-2200-22-20022-2-20000000002-200000000-2-2222-20-22000000000000000-22002-2-220000000000000
χ4022-2-2222-22-22-2-2-2200-22-20022-2-20000000002-200000000-2-222-2202-2000000000000000-2200-222-20000000000000
χ4122-2-222-222-22-2-2-222i−2i-22-200-2-222000002i−2i2i−2i-220000000022-2-200000000000000002i−2i00-220000000000002i−2i00000
χ4222-2-222-222-22-2-2-222i−2i-22-200-2-222000002i−2i2i−2i-2200000000-2-22200000000000000002i−2i002-2000000000000−2i2i00000
χ4322-2-222-222-22-2-2-22−2i2i-22-200-2-22200000−2i2i−2i2i-220000000022-2-20000000000000000−2i2i00-22000000000000−2i2i00000
χ4422-2-222-222-22-2-2-22−2i2i-22-200-2-22200000−2i2i−2i2i-2200000000-2-2220000000000000000−2i2i002-20000000000002i−2i00000
χ452-2-222200-22-2-22-22002-2-22−200002i−2i2-200000002−22−222−2−22i−2i2i−2i000000i2−i22−22-22i−2i0000000000000000i2−i22−200i2−i2000
χ462-2-222200-22-2-22-22002-2-22−200002i−2i-2200000002−22−222−2−2−2i2i−2i2i000000i2−i2−22-222i−2i0000000000000000i2−i2−2200−i2i2000
χ472-2-222200-22-2-22-22002-2-22−20000−2i2i2-200000002−22−222−2−2−2i2i−2i2i000000−i2i22−22-2−2i2i0000000000000000−i2i22−200−i2i2000
χ482-2-222200-22-2-22-22002-2-22−20000−2i2i-2200000002−22−222−2−22i−2i2i−2i000000−i2i2−22-22−2i2i0000000000000000−i2i2−2200i2−i2000
χ492-2-222200-22-2-22-22002-2-2−2200002i−2i2-20000000−22−22−2−2222i−2i2i−2i000000−i2i2−222-22i−2i0000000000000000−i2i2−2200−i2i2000
χ502-2-222200-22-2-22-22002-2-2−2200002i−2i-220000000−22−22−2−222−2i2i−2i2i000000−i2i22−2-222i−2i0000000000000000−i2i22−200i2−i2000
χ512-2-222200-22-2-22-22002-2-2−220000−2i2i2-20000000−22−22−2−222−2i2i−2i2i000000i2−i2−222-2−2i2i0000000000000000i2−i2−2200i2−i2000
χ522-2-222200-22-2-22-22002-2-2−220000−2i2i-220000000−22−22−2−2222i−2i2i−2i000000i2−i22−2-22−2i2i0000000000000000i2−i22−200−i2i2000
χ5344444-2-4-4-244-2-24-200-2-2-2002-42-44400000002200000000000000000-4000000-2-2000000000000002000000000000
χ5444444-2-4-4-244-2-24-200-2-2-2002-42-4-4-40000000220000000000000000040000002200000000000000-2000000000000
χ554444-24-4-44-2-244-2-200-2-2-200-42-420044000002200000000000000-40000000-2-200000000000000000200000000000
χ564444-24-4-44-2-244-2-200-2-2-200-42-4200-4-4000002200000000000000400000002200000000000000000-200000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44-24-4-2-4422-4-2002-2200-242-4000000000-220000000000004-40000000000000000000000-22000000000000000
χ6244-4-44-24-4-2-4422-4-2002-2200-242-4000000000-22000000000000-4400000000000000000000002-2000000000000000
χ6344-4-44-2-44-2-4422-4-24i−4i2-22002-4-2400000−2i2i4i−4i2-20000000000000000000000000000−2i2i00000000000000000000000
χ6444-4-44-2-44-2-4422-4-2−4i4i2-22002-4-24000002i−2i−4i4i2-200000000000000000000000000002i−2i00000000000000000000000
χ6544-4-4-244-442-2-4-42-2002-22004-2-42000000000-220000000000000004-4000000000000000000000-220000000000000
χ6644-4-4-244-442-2-4-42-2002-22004-2-42000000000-22000000000000000-440000000000000000000002-20000000000000
χ6744-4-4-24-4442-2-4-42-24i−4i2-2200-424-2000004i−4i−2i2i2-20000000000000000000000000000−2i2i00000000000000000000000
χ6844-4-4-24-4442-2-4-42-2−4i4i2-2200-424-200000−4i4i2i−2i2-200000000000000000000000000002i−2i00000000000000000000000
χ6944-4-4-2-2-44-22-222214i−4i-11-10022-2-200000−2i2i−2i2i-1100003-33-300000000000000000000i−i3i−3i000000000000000000000
χ7044-4-4-2-2-44-22-222214i−4i-11-10022-2-200000−2i2i−2i2i-110000-33-3300000000000000000000i−i−3i3i000000000000000000000
χ7144-4-4-2-2-44-22-22221−4i4i-11-10022-2-2000002i−2i2i−2i-1100003-33-300000000000000000000−ii−3i3i000000000000000000000
χ7244-4-4-2-2-44-22-22221−4i4i-11-10022-2-2000002i−2i2i−2i-110000-33-3300000000000000000000−ii3i−3i000000000000000000000
χ734-44-44400-4-4-44-44400-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ744-44-44400-4-4-44-44400-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ754-4-444-20024-42-2-4-200-22222−2200004i−4i00000000022−22−22−2−22200000000002i2−2i20000−2i2i0000000000000000−i2i2000000000
χ764-4-444-20024-42-2-4-200-22222−220000−4i4i00000000022−22−22−2−2220000000000−2i22i200002i−2i0000000000000000i2−i2000000000
χ774-4-444-20024-42-2-4-200-222−222200004i−4i000000000−22222−222−2−20000000000−2i22i20000−2i2i0000000000000000i2−i2000000000
χ784-4-444-20024-42-2-4-200-222−22220000−4i4i000000000−22222−222−2−200000000002i2−2i200002i−2i0000000000000000−i2i2000000000
χ794-4-44-2400-4-22-442-200-22222−220000004-40000000−2222−22−2−22200000000000022−22-2200000000000000000000−220000000
χ804-4-44-2400-4-22-442-200-22222−22000000-440000000−2222−22−2−222000000000000−22222-2000000000000000000002−20000000
χ814-4-44-2400-4-22-442-200-222−22220000004-400000002−2−222222−2−2000000000000−2222-22000000000000000000002−20000000
χ824-4-44-2400-4-22-442-200-222−2222000000-4400000002−2−222222−2−200000000000022−222-200000000000000000000−220000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-48-8-44-4444200-22-200-4-4440000000002-200000000000000000000000000000000000000000000000000000
χ858-88-88-4004-8-8-448-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4800-8448-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400444-44-4200-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ888-88-8-4-400444-44-4200-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-442002-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ908-8-88-4-4004-444-442002-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000

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