Finite Group Databasebeta

← Group #11895704

Character table — Group #11895704

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order122244334466666612121212444412121212444444888822444412121212121212124888888661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-1-1-111-111111-1-1-1-11-1-1-1-1-1-1-1-111
χ311111111111111111111-1-1111111111111-1-1-1-111-1-11-1-1-1-1-111111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-111111-1-1-1-11-1-1111111-1-1
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-111111-1-11111-1-111
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-111111-11-111-1-11111111-11-1-1-111-1-111-1-1-1-1-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-11-11-111-1-111-1-1-1-1-111-11-111-1-1-1-111-111-1-111-111-1
χ111111-1-1111-1111111-1-1-1-1-1-1111-11-111-1-111-1-1-1-11-1-11-11-1-11111-1-1-111-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11-11-111-1-1111111-11-1111-1-111-1-111-1-1-111-1-1-11-11
χ131111-1-111-11111111-1-1-1-11111-11-11-1-111111111-11-11-1-111-1-111-1-1-1-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-111-1-1-11-11-1-11111-1-1-1-11-1-111-111-1-1-1-111-11111-1-11-1-11
χ151111-1-111-11111111-1-1-1-1-1-111-11-11-1-11111-1-1-1-1-111-1-11-1-11111-1-1-11111-1-1-111-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-11-11-1-1111111111-11-111-1-111-1-111-1-1-1-1-1111-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-200002-22-2-2-222-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-22-2222-2-2-2-200000000000000000020000000000
χ2122-2-22-22200-2-22-2-222-22-2000000002i−2i2i−2i0022−2−20000000000000002−2−i2i2−i2i20000
χ2222-2-22-22200-2-22-2-222-22-2000000002i−2i2i−2i00−2−222000000000000000−22i2−i2i2−i20000
χ2322-2-22-22200-2-22-2-222-22-200000000−2i2i−2i2i0022−2−20000000000000002−2i2−i2i2−i20000
χ2422-2-22-22200-2-22-2-222-22-200000000−2i2i−2i2i00−2−222000000000000000−22−i2i2−i2i20000
χ2522-2-2-222200-2-22-2-22-22-22000000002i−2i−2i2i0022−2−2000000000000000−22−i2i2i2−i20000
χ2622-2-2-222200-2-22-2-22-22-22000000002i−2i−2i2i00−2−2220000000000000002−2i2−i2−i2i20000
χ2722-2-2-222200-2-22-2-22-22-2200000000−2i2i2i−2i0022−2−2000000000000000−22i2−i2−i2i20000
χ2822-2-2-222200-2-22-2-22-22-2200000000−2i2i2i−2i00−2−2220000000000000002−2−i2i2i2−i20000
χ292-22-20022002-2-22-2-200002-22i−2i00000000-222i−2i2i−2i0000002-2002i−2i0000000000000
χ302-22-20022002-2-22-2-200002-2−2i2i00000000-22−2i2i−2i2i0000002-200−2i2i0000000000000
χ312-22-20022002-2-22-2-20000-222i−2i00000000-22−2i2i−2i2i000000-22002i−2i0000000000000
χ322-22-20022002-2-22-2-20000-22−2i2i00000000-222i−2i2i−2i000000-2200−2i2i0000000000000
χ334444441-24411-2-2-21-2-2112200-2-2110000000000002202-1-1-1-10000000000000-1-1
χ344444441-24411-2-2-21-2-211-2-200-2-211000000000000-2-20-21111000000000000011
χ354444441-2-4-411-2-2-21-2-211220022-1-1000000000000-2-202-1-1-1-1000000000000011
χ364444441-2-4-411-2-2-21-2-211-2-20022-1-1000000000000220-211110000000000000-1-1
χ37444444-2144-2-2111-211-2-2002211-2-200000000002200200000-1-1-1-10000000-1-100
χ38444444-2144-2-2111-211-2-200-2-211-2-20000000000-2-200-200000111100000001100
χ39444444-21-4-4-2-2111-211-2-20022-1-1220000000000-2-200200000-1-1-1-100000001100
χ40444444-21-4-4-2-2111-211-2-200-2-2-1-12200000000002200-20000011110000000-1-100
χ414444-4-41-24-411-2-2-2122-1-12200-221-10000000000002-20-2-1-1110000000000000-11
χ424444-4-41-24-411-2-2-2122-1-1-2-200-221-1000000000000-220211-1-100000000000001-1
χ434444-4-41-2-4411-2-2-2122-1-122002-2-11000000000000-220-2-1-11100000000000001-1
χ444444-4-41-2-4411-2-2-2122-1-1-2-2002-2-110000000000002-20211-1-10000000000000-11
χ454444-4-4-214-4-2-2111-2-1-12200221-1-2200000000002-200-200000-1-1110000000-1100
χ464444-4-4-214-4-2-2111-2-1-12200-2-21-1-220000000000-220020000011-1-100000001-100
χ474444-4-4-21-44-2-2111-2-1-1220022-112-20000000000-2200-200000-1-11100000001-100
χ484444-4-4-21-44-2-2111-2-1-12200-2-2-112-200000000002-20020000011-1-10000000-1100
χ494-44-40044004-4-44-4-400000000000000004-400000000000000000000000000000
χ504-4-44004400-44-4-44-4000000000000000000−2i22i22i2−2i20000000000000000000000000
χ514-4-44004400-44-4-44-40000000000000000002i2−2i2−2i22i20000000000000000000000000
χ5288-8-88-82-400-2-2-4442-442-20000000000000000000000000000000000000000000
χ5388-8-88-8-4200442-2-2-42-2-440000000000000000000000000000000000000000000
χ5488-8-8-882-400-2-2-44424-4-220000000000000000000000000000000000000000000
χ5588-8-8-88-4200442-2-2-4-224-40000000000000000000000000000000000000000000
χ568-88-8002-4002-24-44-200004-40000000000000000000000-2200000000000000000
χ578-88-8002-4002-24-44-20000-4400000000000000000000002-200000000000000000
χ588-88-800-4200-44-22-240000004i−4i000000000000000000000000−2i2i0000000000000
χ598-88-800-4200-44-22-24000000−4i4i0000000000000000000000002i−2i0000000000000
χ608-8-88002-400-2244-4-2000000000000000000000000000000−2i32i3000000000000000
χ618-8-88002-400-2244-4-20000000000000000000000000000002i3−2i3000000000000000
χ628-8-8800-42004-4-2-224000000000000000000000000000000000023−2300000000000
χ638-8-8800-42004-4-2-2240000000000000000000000000000000000−232300000000000

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