Finite Group Databasebeta

← Group #11771115

Character table — Group #11771115

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222248888888888888888999918181818363636363636363636363636363636363672727272
order122222222366666666666666644444444488888888888888888888
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111iiii−i−i−i−i−i−iii
χ8111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111ii−i−iii−i−i11-1-111-1-1i−ii−i
χ101111-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111ii−i−iii−i−i-1-111-1-111−ii−ii
χ111111-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111−i−iii−i−iii11-1-111-1-1−ii−ii
χ121111-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111−i−iii−i−iii-1-111-1-111i−ii−i
χ131111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1
χ141111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ151111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-11
χ161111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1
χ172222222222222222222222222-2-2-2-2-2-2-2-2-200000000000000000000
χ18222222-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-200000000000000000000
χ192222-2-222-22222-2-2-2-22222-2-2-2-2222222-2-2-200000000000000000000
χ202222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-22222-200000000000000000000
χ2122-2-2002-2022-2-2000022-2-200002i2i−2i−2i2i−2i00000000000i2−i22−2i2−i22−20000
χ2222-2-2002-2022-2-2000022-2-200002i2i−2i−2i2i−2i00000000000−i2i2−22−i2i2−220000
χ2322-2-2002-2022-2-2000022-2-20000−2i−2i2i2i−2i2i00000000000i2−i2−22i2−i2−220000
χ2422-2-2002-2022-2-2000022-2-20000−2i−2i2i2i−2i2i00000000000−i2i22−2−i2i22−20000
χ2522-2-200-22022-2-20000-2-22200002i2i−2i−2i−2i2i000000000002−2i2−i2−22−i2i20000
χ2622-2-200-22022-2-20000-2-22200002i2i−2i−2i−2i2i00000000000−22−i2i22−2i2−i20000
χ2722-2-200-22022-2-20000-2-2220000−2i−2i2i2i2i−2i000000000002−2−i2i2−22i2−i20000
χ2822-2-200-22022-2-20000-2-2220000−2i−2i2i2i2i−2i00000000000−22i2−i22−2−i2i20000
χ292-22-22-20002-22-222-2-2000000002i−2i2i−2i002i−2i0i2−i2i2−i22−22−2000000000000
χ302-22-22-20002-22-222-2-2000000002i−2i2i−2i002i−2i0−i2i2−i2i2−22−22000000000000
χ312-22-22-20002-22-222-2-200000000−2i2i−2i2i00−2i2i0i2−i2i2−i2−22−22000000000000
χ322-22-22-20002-22-222-2-200000000−2i2i−2i2i00−2i2i0−i2i2−i2i22−22−2000000000000
χ332-22-2-220002-22-2-2-222000000002i−2i2i−2i00−2i2i02−2−22i2−i2−i2i2000000000000
χ342-22-2-220002-22-2-2-222000000002i−2i2i−2i00−2i2i0−222−2−i2i2i2−i2000000000000
χ352-22-2-220002-22-2-2-22200000000−2i2i−2i2i002i−2i02−2−22−i2i2i2−i2000000000000
χ362-22-2-220002-22-2-2-22200000000−2i2i−2i2i002i−2i0−222−2i2−i2−i2i2000000000000
χ374-4-44000004-4-440000000000004-4-440000000000000000000000000
χ384-4-44000004-4-44000000000000-444-40000000000000000000000000
χ39888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ40888888-8-8-8-1-1-1-1-1-1-1-11111111100000000000000000000000000000
χ418888-8-888-8-1-1-1-11111-1-1-1-1111100000000000000000000000000000
χ428888-8-8-8-88-1-1-1-111111111-1-1-1-100000000000000000000000000000
χ4388-8-8008-80-1-1113-33-3-1-11133-3-300000000000000000000000000000
χ4488-8-8008-80-1-111-33-33-1-111-3-33300000000000000000000000000000
χ4588-8-800-880-1-1113-33-311-1-1-3-33300000000000000000000000000000
χ4688-8-800-880-1-111-33-3311-1-133-3-300000000000000000000000000000
χ478-88-88-8000-11-11-1-1113-33-33-33-300000000000000000000000000000
χ488-88-88-8000-11-11-1-111-33-33-33-3300000000000000000000000000000
χ498-88-8-88000-11-1111-1-13-33-3-33-3300000000000000000000000000000
χ508-88-8-88000-11-1111-1-1-33-333-33-300000000000000000000000000000
χ518-8-8800000-111-13-3-333-3-333-3-3300000000000000000000000000000
χ528-8-8800000-111-13-3-33-333-3-333-300000000000000000000000000000
χ538-8-8800000-111-1-333-33-3-33-333-300000000000000000000000000000
χ548-8-8800000-111-1-333-3-333-33-3-3300000000000000000000000000000

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