Finite Group Databasebeta

← Group #11870539

Character table — Group #11870539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111122888888889999121212121212121218181818181824242424242424243636363636363636363672727272
order12442436661212121222442222444424444466661212121244888888884444
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
χ51111-1-11-1-1111-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111-1-11-1-1111-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111-1-11-1-1111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111
χ81111-1-11-1-1111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1
χ911-1-11-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1111111-1-1-1-11-111-1-111-1-11-11-1
χ1011-1-11-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1111111-1-1-1-11-1-1-111-1-111-11-11
χ1111-1-11-11111-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-1-1-111111-111-1-111-1-1-11-11
χ1211-1-11-11111-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1111-11-1
χ1311-1-1-111-1-11-1-11111-1-111-1-1-1-111-11-1-11111-1-1-1-111-1111-1-1-1-1111-1-11
χ1411-1-1-111-1-11-1-11111-1-111-1-1-1-111-11-1-11111-1-1-1-111-11-1-11111-1-1-111-1
χ1511-1-1-111-1-11-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-1-1111-1-1-1-111-111-1
χ1611-1-1-111-1-11-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-1-11-1-11111-1-11-1-11
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
χ202222-2-22-2-2222-2-2222200000000-2-2-2-2-2-20000000022000000000000
χ212222-2-22-2-2222-2-2-2-2-2-2000000002200000000000000i2−i2i2−i2−i2i2−i2i20000
χ222222-2-22-2-2222-2-2-2-2-2-2000000002200000000000000−i2i2−i2i2i2−i2i2−i20000
χ2322-2-22-22222-2-2-2-222-2-2000000002-222-2-200000000-22000000000000
χ2422-2-22-22222-2-2-2-2-2-22200000000-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ2522-2-22-22222-2-2-2-2-2-22200000000-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ2622-2-2-222-2-22-2-22222-2-200000000-2222-2-2000000002-2000000000000
χ2722-2-2-222-2-22-2-222-2-222000000002-200000000000000i2−i2−i2i2−i2i2i2−i20000
χ2822-2-2-222-2-22-2-222-2-222000000002-200000000000000−i2i2i2−i2i2−i2−i2i20000
χ292-22i−2i00200-22i−2i002-22i−2i002-2002i−2i002i−2i2-2002-2002i−2i00000000000000
χ302-22i−2i00200-22i−2i002-22i−2i00-2200−2i2i002i−2i2-200-2200−2i2i00000000000000
χ312-22i−2i00200-22i−2i002-22i−2i2-2002i−2i0000−2i2i-222-2002i−2i0000000000000000
χ322-22i−2i00200-22i−2i002-22i−2i-2200−2i2i0000−2i2i-22-2200−2i2i0000000000000000
χ332-2−2i2i00200-2−2i2i002-2−2i2i002-200−2i2i00−2i2i2-2002-200−2i2i00000000000000
χ342-2−2i2i00200-2−2i2i002-2−2i2i00-22002i−2i00−2i2i2-200-22002i−2i00000000000000
χ352-2−2i2i00200-2−2i2i002-2−2i2i2-200−2i2i00002i−2i-222-200−2i2i0000000000000000
χ362-2−2i2i00200-2−2i2i002-2−2i2i-22002i−2i00002i−2i-22-22002i−2i0000000000000000
χ374-44i−4i00400-44i−4i00-44−4i4i000000000000000000000000000000000000
χ384-4−4i4i00400-4−4i4i00-444i−4i000000000000000000000000000000000000
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
χ418888-8-8-111-1-1-111000022-2-222-2-2000000-1-111-1-11100000000000000
χ428888-8-8-111-1-1-1110000-2-222-2-22200000011-1-111-1-100000000000000
χ4388-8-88-8-1-1-1-1111100002222-2-2-2-2000000-1-1-1-1111100000000000000
χ4488-8-88-8-1-1-1-111110000-2-2-2-222220000001111-1-1-1-100000000000000
χ4588-8-8-88-111-111-1-1000022-2-2-2-222000000-1-11111-1-100000000000000
χ4688-8-8-88-111-111-1-10000-2-22222-2-200000011-1-1-1-11100000000000000
χ478-88i−8i00-13-31−ii3i−3i00002-22-22i−2i2i−2i000000-11-11−ii−ii00000000000000
χ488-88i−8i00-13-31−ii3i−3i0000-22-22−2i2i−2i2i0000001-11-1i−ii−i00000000000000
χ498-88i−8i00-1-331−ii−3i3i00002-2-222i−2i−2i2i000000-111-1−iii−i00000000000000
χ508-88i−8i00-1-331−ii−3i3i0000-222-2−2i2i2i−2i0000001-1-11i−i−ii00000000000000
χ518-8−8i8i00-13-31i−i−3i3i00002-22-2−2i2i−2i2i000000-11-11i−ii−i00000000000000
χ528-8−8i8i00-13-31i−i−3i3i0000-22-222i−2i2i−2i0000001-11-1−ii−ii00000000000000
χ538-8−8i8i00-1-331i−i3i−3i00002-2-22−2i2i2i−2i000000-111-1i−i−ii00000000000000
χ548-8−8i8i00-1-331i−i3i−3i0000-222-22i−2i−2i2i0000001-1-11−iii−i00000000000000

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