Finite Group Databasebeta

← Group #11787264

Character table — Group #11787264

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111122888888889999121212121212121218181818181824242424242424243636363636363636363672727272
order12222236666666222244444444224444121212121212121244888888884444
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111-1-1111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111-1-1111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111-1-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111-1-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ911-1-11-111-111-1-1-1-1-111ii−i−iii−i−i1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i1-11-1
χ1011-1-11-111-111-1-1-1-1-111ii−i−iii−i−i1-111-1-1ii−i−iii−i−i1-1−i−iii−i−iii-11-11
χ1111-1-11-111-111-1-1-1-1-111−i−iii−i−iii1-111-1-1−i−iii−i−iii1-1ii−i−iii−i−i-11-11
χ1211-1-11-111-111-1-1-1-1-111−i−iii−i−iii1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii1-11-1
χ1311-1-1-1111-1-1-111-1-1-111ii−i−i−i−iii-1111-1-1ii−i−i−i−iii-11ii−i−i−i−iii1-1-11
χ1411-1-1-1111-1-1-111-1-1-111ii−i−i−i−iii-1111-1-1ii−i−i−i−iii-11−i−iiiii−i−i-111-1
χ1511-1-1-1111-1-1-111-1-1-111−i−iiiii−i−i-1111-1-1−i−iiiii−i−i-11ii−i−i−i−iii-111-1
χ1611-1-1-1111-1-1-111-1-1-111−i−iiiii−i−i-1111-1-1−i−iiiii−i−i-11−i−iiiii−i−i1-1-11
χ172222222222222222220000000022-2-2-2-200000000-2-2000000000000
χ1822222222222222-2-2-2-200000000-2-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ1922222222222222-2-2-2-200000000-2-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ202222-2-2222-2-2-2-22222200000000-2-2-2-2-2-20000000022000000000000
χ212222-2-2222-2-2-2-22-2-2-2-2000000002200000000000000i2−i2i2−i2−i2i2−i2i20000
χ222222-2-2222-2-2-2-22-2-2-2-2000000002200000000000000−i2i2−i2i2i2−i2i2−i20000
χ2322-2-22-222-222-2-2-222-2-200000000-22000000000000002−2−222−2−220000
χ2422-2-22-222-222-2-2-222-2-200000000-2200000000000000−222−2−222−20000
χ2522-2-22-222-222-2-2-2-2-222000000002-2-2-22200000000-22000000000000
χ2622-2-2-2222-2-2-222-222-2-2000000002-2000000000000002−2−22−222−20000
χ2722-2-2-2222-2-2-222-222-2-2000000002-200000000000000−222−22−2−220000
χ2822-2-2-2222-2-2-222-2-2-22200000000-22-2-222000000002-2000000000000
χ292-22-2002-220000-22-2-2200002i−2i2i−2i002-22-200002i−2i2i−2i00000000000000
χ302-22-2002-220000-22-2-220000−2i2i−2i2i002-22-20000−2i2i−2i2i00000000000000
χ312-22-2002-220000-22-2-222i−2i2i−2i000000-22-222i−2i2i−2i000000000000000000
χ322-22-2002-220000-22-2-22−2i2i−2i2i000000-22-22−2i2i−2i2i000000000000000000
χ332-2-22002-2-200002-22-2200002-2-22002-2-2200002-2-2200000000000000
χ342-2-22002-2-200002-22-220000-222-2002-2-220000-222-200000000000000
χ352-2-22002-2-200002-22-222-2-22000000-222-22-2-22000000000000000000
χ362-2-22002-2-200002-22-22-222-2000000-222-2-222-2000000000000000000
χ374-44-4004-440000-4-444-4000000000000000000000000000000000000
χ384-4-44004-4-4000044-44-4000000000000000000000000000000000000
χ39888888-1-1-1-1-1-1-1-1000022222222000000-1-1-1-1-1-1-1-100000000000000
χ40888888-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-20000001111111100000000000000
χ418888-8-8-1-1-11111-100002222-2-2-2-2000000-1-1-1-1111100000000000000
χ428888-8-8-1-1-11111-10000-2-2-2-222220000001111-1-1-1-100000000000000
χ4388-8-88-8-1-11-1-111100002i2i−2i−2i2i2i−2i−2i000000−i−iii−i−iii00000000000000
χ4488-8-88-8-1-11-1-11110000−2i−2i2i2i−2i−2i2i2i000000ii−i−iii−i−i00000000000000
χ4588-8-8-88-1-1111-1-1100002i2i−2i−2i−2i−2i2i2i000000−i−iiiii−i−i00000000000000
χ4688-8-8-88-1-1111-1-110000−2i−2i2i2i2i2i−2i−2i000000ii−i−i−i−iii00000000000000
χ478-88-800-11-13-33-3100002i−2i2i−2i2i−2i2i−2i000000−ii−ii−ii−ii00000000000000
χ488-88-800-11-13-33-310000−2i2i−2i2i−2i2i−2i2i000000i−ii−ii−ii−i00000000000000
χ498-88-800-11-1-33-33100002i−2i2i−2i−2i2i−2i2i000000−ii−iii−ii−i00000000000000
χ508-88-800-11-1-33-3310000−2i2i−2i2i2i−2i2i−2i000000i−ii−i−ii−ii00000000000000
χ518-8-8800-1113-3-33-100002-2-222-2-22000000-111-1-111-100000000000000
χ528-8-8800-1113-3-33-10000-222-2-222-20000001-1-111-1-1100000000000000
χ538-8-8800-111-333-3-100002-2-22-222-2000000-111-11-1-1100000000000000
χ548-8-8800-111-333-3-10000-222-22-2-220000001-1-11-111-100000000000000

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