Finite Group Databasebeta

← Group #11787464

Character table — Group #11787464

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111122888888889999121212121212121218181818181824242424242424243636363636363636363672727272
order12224436661212121222222222444444444466661212121244888888884444
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
χ51111-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ911-1-1i−i11-1-1ii−i−i1-1-1111-1-1ii−i−ii−i1-11-111-1-1ii−i−ii−iii−i−i11-1-1i−i1-1
χ1011-1-1i−i11-1-1ii−i−i1-1-1111-1-1ii−i−ii−i1-11-111-1-1ii−i−ii−i−i−iii-1-111−ii-11
χ1111-1-1i−i11-1-1ii−i−i1-1-11-1-111−i−iiii−i1-11-1-1-111−i−iiii−iii−i−i11-1-1−ii-11
χ1211-1-1i−i11-1-1ii−i−i1-1-11-1-111−i−iiii−i1-11-1-1-111−i−iiii−i−i−iii-1-111i−i1-1
χ1311-1-1−ii11-1-1−i−iii1-1-1111-1-1−i−iii−ii1-11-111-1-1−i−iii−iiii−i−i-1-111i−i-11
χ1411-1-1−ii11-1-1−i−iii1-1-1111-1-1−i−iii−ii1-11-111-1-1−i−iii−ii−i−iii11-1-1−ii1-1
χ1511-1-1−ii11-1-1−i−iii1-1-11-1-111ii−i−i−ii1-11-1-1-111ii−i−i−iiii−i−i-1-111−ii1-1
χ1611-1-1−ii11-1-1−i−iii1-1-11-1-111ii−i−i−ii1-11-1-1-111ii−i−i−ii−i−iii11-1-1i−i-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
χ202222-2-22222-2-2-2-2222200000000-2-2-2-2-2-20000000022000000000000
χ212222-2-22222-2-2-2-2-2-2-2-2000000002200000000000000i2−i2i2−i2−i2i2−i2i20000
χ222222-2-22222-2-2-2-2-2-2-2-2000000002200000000000000−i2i2−i2i2i2−i2i2−i20000
χ2322-2-22i−2i22-2-22i2i−2i−2i2-2-22000000002i−2i-22-2200000000−2i2i000000000000
χ2422-2-22i−2i22-2-22i2i−2i−2i-222-200000000−2i2i000000000000002−2−22−i2i2i2−i20000
χ2522-2-22i−2i22-2-22i2i−2i−2i-222-200000000−2i2i00000000000000−222−2i2−i2−i2i20000
χ2622-2-2−2i2i22-2-2−2i−2i2i2i2-2-2200000000−2i2i-22-22000000002i−2i000000000000
χ2722-2-2−2i2i22-2-2−2i−2i2i2i-222-2000000002i−2i000000000000002−2−22i2−i2−i2i20000
χ2822-2-2−2i2i22-2-2−2i−2i2i2i-222-2000000002i−2i00000000000000−222−2−i2i2i2−i20000
χ292-22-2002-22-20000-2-22200002i−2i2i−2i0022-2-200002i−2i2i−2i00000000000000
χ302-22-2002-22-20000-2-2220000−2i2i−2i2i0022-2-20000−2i2i−2i2i00000000000000
χ312-22-2002-22-20000-2-2222-22-2000000-2-2222-22-2000000000000000000
χ322-22-2002-22-20000-2-222-22-22000000-2-222-22-22000000000000000000
χ332-2-22002-2-220000-22-2200002-2-22002-2-2200002-2-2200000000000000
χ342-2-22002-2-220000-22-220000-222-2002-2-220000-222-200000000000000
χ352-2-22002-2-220000-22-222-2-22000000-222-22-2-22000000000000000000
χ362-2-22002-2-220000-22-22-222-2000000-222-2-222-2000000000000000000
χ374-44-4004-44-4000044-4-4000000000000000000000000000000000000
χ384-4-44004-4-4400004-44-4000000000000000000000000000000000000
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
χ418888-8-8-1-1-1-1111100002222-2-2-2-2000000-1-1-1-1111100000000000000
χ428888-8-8-1-1-1-111110000-2-2-2-222220000001111-1-1-1-100000000000000
χ4388-8-88i−8i-1-111−i−iii000022-2-22i2i−2i−2i000000-1-111−i−iii00000000000000
χ4488-8-88i−8i-1-111−i−iii0000-2-222−2i−2i2i2i00000011-1-1ii−i−i00000000000000
χ4588-8-8−8i8i-1-111ii−i−i000022-2-2−2i−2i2i2i000000-1-111ii−i−i00000000000000
χ4688-8-8−8i8i-1-111ii−i−i0000-2-2222i2i−2i−2i00000011-1-1−i−iii00000000000000
χ478-88-800-11-113i−3i3i−3i00002-22-22i−2i2i−2i000000-11-11−ii−ii00000000000000
χ488-88-800-11-113i−3i3i−3i0000-22-22−2i2i−2i2i0000001-11-1i−ii−i00000000000000
χ498-88-800-11-11−3i3i−3i3i00002-22-2−2i2i−2i2i000000-11-11i−ii−i00000000000000
χ508-88-800-11-11−3i3i−3i3i0000-22-222i−2i2i−2i0000001-11-1−ii−ii00000000000000
χ518-8-8800-111-13-3-3300002-2-222-2-22000000-111-1-111-100000000000000
χ528-8-8800-111-13-3-330000-222-2-222-20000001-1-111-1-1100000000000000
χ538-8-8800-111-1-333-300002-2-22-222-2000000-111-11-1-1100000000000000
χ548-8-8800-111-1-333-30000-222-22-2-220000001-1-11-111-100000000000000

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