Finite Group Databasebeta

← Group #11779348

Character table — Group #11779348

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222222244444444444444444888888888888888888888881212121212121212121212121212242424242424242424242424243636484872144
order12223344446666661212121234666121212121212121212121212881212121212242424242424242424242424242424244488882424242424242424224881212121224242424446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111-1
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1111111-1-11-1
χ92222222-2-22222222-2-2-2-22-22222-222-2-2-2-2-2-2-2200-222-2-200000000000000002200000000000000-20022-2-20000000000
χ102222222-2-22222222-2-2-2-22-22222-222-2-2-2-2-2-2-2200-222-2-20000000000000000-2-200000000000000200-2-2220000000000
χ11222222-222-222222222222-2222-22-2-222222-2-2-200-2-2-2-2-200000000000000000000000000000000000000000002200-20
χ12222222-222-222222222222-2222-22-2-222222-2-2-200-2-2-2-2-20000000000000000000000000000000000000000000-2-20020
χ13222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-2220000000000000000000000000000002-200000000000002-200
χ14222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-222000000000000000000000000000000-220000000000000-2200
χ1522222-122222-1-1-1222222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000220220000-1-1-1-100-1-100
χ1622222-122222-1-1-1222222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-20-2-200001111001100
χ1722222-122222-1-1-1222222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-211111111111100000000000000220-2-20000111100-1-100
χ1822222-122222-1-1-1222222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-211111111111100000000000000-2-20220000-1-1-1-1001100
χ1922222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000333333−3−3−3−3−3−3000000000000002-2000000033−3−300-1100
χ2022222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000333333−3−3−3−3−3−300000000000000-220000000−3−333001-100
χ2122222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000−3−3−3−3−3−3333333000000000000002-20000000−3−33300-1100
χ2222222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000−3−3−3−3−3−333333300000000000000-22000000033−3−3001-100
χ232222-122222-1222-1-1-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-100200-1-1-1-10000000000
χ242222-122222-1222-1-1-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111111100-20011110000000000
χ252222-122222-1222-1-1-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-21111-2-2111122-2-2-2-21111111100200-1-1-1-10000000000
χ262222-122222-1222-1-1-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-21111-2-21111-2-22222-1-1-1-1-1-1-1-100-20011110000000000
χ272222-122-2-22-1222-1-11111-1-2-1-1-12-2-1-111-21111200-2-1-11133−3−30033−3−30033−3−32200003333−3−3−3−300-200-1-1110000000000
χ282222-122-2-22-1222-1-11111-1-2-1-1-12-2-1-111-21111200-2-1-11133−3−30033−3−30033−3−3-2-20000−3−3−3−333330020011-1-10000000000
χ292222-122-2-22-1222-1-11111-1-2-1-1-12-2-1-111-21111200-2-1-111−3−33300−3−33300−3−333220000−3−3−3−3333300-200-1-1110000000000
χ302222-122-2-22-1222-1-11111-1-2-1-1-12-2-1-111-21111200-2-1-111−3−33300−3−33300−3−333-2-200003333−3−3−3−30020011-1-10000000000
χ3122-2-222-2002-22-2-22-20000202-2-2-202-2000000022−202-2002−22−22−22−22−22−22−22−22i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000002i−2i000000000000
χ3222-2-222-2002-22-2-22-20000202-2-2-202-2000000022−202-2002−22−22−22−22−22−22−22−2−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000−2i2i000000000000
χ3322-2-222-2002-22-2-22-20000202-2-2-202-200000002−2202-200−22−22−22−22−22−22−22−222i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000002i−2i000000000000
χ3422-2-222-2002-22-2-22-20000202-2-2-202-200000002−2202-200−22−22−22−22−22−22−22−22−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000−2i2i000000000000
χ3522-2-2-12-200212-2-2-113−33−3-10-111-20-113−303−33−322−20-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232i−2i−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000−ii−i3i30000000000
χ3622-2-2-12-200212-2-2-113−33−3-10-111-20-113−303−33−322−20-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−2i2ii2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000i−ii3−i30000000000
χ3722-2-2-12-200212-2-2-113−33−3-10-111-20-113−303−33−32−220-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232i−2ii2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000−ii−i3i30000000000
χ3822-2-2-12-200212-2-2-113−33−3-10-111-20-113−303−33−32−220-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2i2i−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000i−ii3−i30000000000
χ3922-2-2-12-200212-2-2-11−33−33-10-111-20-11−330−33−3322−20-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72i−2i−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000−iii3−i30000000000
χ4022-2-2-12-200212-2-2-11−33−33-10-111-20-11−330−33−3322−20-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−2i2ii2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000i−i−i3i30000000000
χ4122-2-2-12-200212-2-2-11−33−33-10-111-20-11−330−33−332−220-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72i−2ii2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000−iii3−i30000000000
χ4222-2-2-12-200212-2-2-11−33−33-10-111-20-11−330−33−332−220-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2i2i−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000i−i−i3i30000000000
χ432-22-2220-2202-22-2-2-2-2-22220-22-20-200-2-22220000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20002−200002−22−22i−2i0000
χ442-22-2220-2202-22-2-2-2-2-22220-22-20-200-2-22220000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000−220000−22−22−2i2i0000
χ452-22-2220-2202-22-2-2-2-2-22220-22-20-200-2-22220000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20002−200002−22−2−2i2i0000
χ462-22-2220-2202-22-2-2-2-2-22220-22-20-200-2-22220000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000−220000−22−222i−2i0000
χ4744444-24-4-444-2-2-244-4-4-4-4-2-4-2-2-2-224422222-4-4-2002-2-2220000000000000000000000000000000000000000000000000
χ4844444-2-444-44-2-2-2444444-2-4-2-2-22-2-4-4-2-2-2-2-2-4-4200222220000000000000000000000000000000000000000000000000
χ494444-24-444-4-2444-2-2-2-2-2-2-2-4-2-2-2-4422-2-24-2-222-400-422220000000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2444-2-22222-24-2-2-2-4-42222-422-2-2-400422-2-20000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-244-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-2-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ534444-2-24-4-44-2-2-2-2-2-222221-4111-22-2-2-1-12-1-122-200211-1-12323−23−2300−3−33300−3−333000000000000000000000000000000000
χ544444-2-24-4-44-2-2-2-2-2-222221-4111-22-2-2-1-12-1-122-200211-1-1−23−2323230033−3−30033−3−3000000000000000000000000000000000
χ554444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-41112-22211-211222002-1-1-1-100000033-3-300-3-333000000000000000000000000000000000
χ564444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-41112-22211-211222002-1-1-1-1000000-3-3330033-3-3000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-11100002323−3−3−3−3−23−233333000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-1110000−23−2333332323−3−3−3−3000000000000000000000000000000000
χ5944-4-444400-4-44-4-44-40000404-4-440-440000000-4000-44000000000000000000000000000000000000000000000000000
χ6044-4-44-2400-4-4-2224-40000-20-222-20-44000000020002-20000006−66−66−6−66−66−66000000000000000000000000000000000
χ6144-4-44-2400-4-4-2224-40000-20-222-20-44000000020002-2000000−66−66−666−66−66−6000000000000000000000000000000000
χ6244-4-44-2-4004-4-2224-40000-20-222204-40000000-222−220-220022−2222−22−22−22−22−22−22−22000000000000000000000000000000000
χ6344-4-44-2-4004-4-2224-40000-20-222204-40000000-2−22220-2200−2222−22222−22−22−22−22−22−2000000000000000000000000000000000
χ6444-4-4-24400-424-4-4-2223−2323−23-20-222402-223−23023−23−2323-40002-2−23230000000000000000000000000000000000000000000000000
χ6544-4-4-24400-424-4-4-22−2323−2323-20-222402-2−23230−232323−23-40002-223−230000000000000000000000000000000000000000000000000
χ6644-4-4-2-2400-42-222-2223−2323−23101-1-1-202-2−330−33−23232000-113−300006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ6744-4-4-2-2400-42-222-2223−2323−23101-1-1-202-2−330−33−23232000-113−30000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ6844-4-4-2-2400-42-222-22−2323−2323101-1-1-202-23−303−323−232000-11−3300006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ6944-4-4-2-2400-42-222-22−2323−2323101-1-1-202-23−303−323−232000-11−330000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ7044-4-4-2-2-40042-222-2223−2323−23101-1-120-22−330−3323−23-222−2201-1−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000000000000000000000000
χ7144-4-4-2-2-40042-222-2223−2323−23101-1-120-22−330−3323−23-2−222201-1−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000000000000000000000000
χ7244-4-4-2-2-40042-222-22−2323−2323101-1-120-223−303−3−2323-222−2201-13−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000000000000000000000000
χ7344-4-4-2-2-40042-222-22−2323−2323101-1-120-223−303−3−2323-2−222201-13−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000000000000000000000000
χ744-44-44404-404-44-4-4-444-4-440-44-4040044-4-4-400000000000000000000000000000000000000000000000000000000000
χ754-44-44-204-4042-22-4-444-4-4-202-220-200-2-222200000000000000000000000000000000000000000000000006−6−66000000
χ764-44-44-204-4042-22-4-444-4-4-202-220-200-2-22220000000000000000000000000000000000000000000000000−666−6000000
χ774-44-44-20-44042-22-4-4-4-444-202-22020022-2-2-2000000000000000000000000000000000000000000022−220000−22−22000000
χ784-44-44-20-44042-22-4-4-4-444-202-22020022-2-2-20000000000000000000000000000000000000000000−222200002−22−2000000
χ794-44-4-2404-40-2-44-422-2-222-202-220400-2-2-42200000000000000000000000000000000i6−i6i6−i6−i6i6−i6i60000000000000000000
χ804-44-4-2404-40-2-44-422-2-222-202-220400-2-2-42200000000000000000000000000000000−i6i6−i6i6i6−i6i6−i60000000000000000000
χ814-44-4-240-440-2-44-42222-2-2-202-220-400224-2-20000000000000000000000000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i20000000000000000000
χ824-44-4-240-440-2-44-42222-2-2-202-220-400224-2-200000000000000000000000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000
χ834-4-44440000-4-4-44-44000040-4-4400000000000000000000000000000000000002-2-222-2-222-2-220000000000000000000
χ844-4-44440000-4-4-44-44000040-4-440000000000000000000000000000000000000-222-2-222-2-222-20000000000000000000
χ854-4-44-2400002-4-442-223−23−2323-2022-2000023−230−232300000000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000
χ864-4-44-2400002-4-442-223−23−2323-2022-2000023−230−23230000000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000
χ874-4-44-2400002-4-442-2−232323−23-2022-20000−2323023−2300000000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000
χ884-4-44-2400002-4-442-2−232323−23-2022-20000−2323023−230000000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000
χ898-88-8-4-408-80-44-4444-4-44420-22-20-400224-2-200000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40-880-44-444444-4-420-22-20400-2-2-42200000000000000000000000000000000000000000000000000000000000
χ918-8-888-40000-844-4-880000-4044-400000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-44-443−43−434320-2-220000−2323023−2300000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40000444-44-4−434343−4320-2-22000023−230−232300000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.