Finite Group Databasebeta

← Group #11779065

Character table — Group #11779065

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111144444444488888121212121212121216161616181818182424242424242424242448484848487272727272
order122233466666641212121244448888121212124444441212121224242424266121248888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111111-1-11-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111-11-1-1111-1-11111-1-11-111111-111-1-11111-1-1-11-1-111-1-1
χ61111111111111-11-1-1111-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111-11-1-11-1-1111111-1-11-11111-11-1-1111111-1-1-1-11-1-1-111
χ81111111111111-11-1-11-1-111-1-1-1-1-1-11-11111-11-1-111-1-1-1-1111-11-111-1-1
χ9222222222222222222000000002222-2-2-2-2000000000000000-20000
χ102222222222222-22-2-2200000000-2-22-2-2-2-2-200000000000000020000
χ11222222-22222220-200-20022000000-202-22-20-2002200000000-200000
χ12222222-22222220-200-200-2-2000000-202-22-20200-2-200000000200000
χ13222222-22222220-200-22200000000-20-22-22-2022000000000-2000000
χ14222222-22222220-200-2-2-200000000-20-22-2220-2-20000000002000000
χ1522-2-22202-22-2-2-200000002-2−i2−i2i2i20000-202000002-2−i2−i2i2i200000000−i2i2
χ1622-2-22202-22-2-2-200000002-2i2i2−i2−i20000-202000002-2i2i2−i2−i200000000i2−i2
χ1722-2-22202-22-2-2-20000000-22−i2−i2i2i20000-20200000-22−i2−i2i2i200000000i2−i2
χ1822-2-22202-22-2-2-20000000-22i2i2−i2−i20000-20200000-22i2i2−i2−i200000000−i2i2
χ192-22-2220-22-22-2-2000002-200−i2i2−i2i200000-202002-200−i2i2−i2i2000000−i2i200
χ202-22-2220-22-22-2-2000002-200i2−i2i2−i200000-202002-200i2−i2i2−i2000000i2−i200
χ212-22-2220-22-22-2-200000-2200−i2i2−i2i200000-20200-2200−i2i2−i2i2000000i2−i200
χ222-22-2220-22-22-2-200000-2200i2−i2i2−i200000-20200-2200i2−i2i2−i2000000−i2i200
χ2344441-24-2-211-214-211-222220000-2-211000022-1-1-1-10000000-1-100000
χ2444441-24-2-211-214-211-2-2-2-2-20000-2-2110000-2-2111100000001100000
χ2544441-24-2-211-21-4-2-1-1-222-2-20000221-100002-2-1-1110000000-1100000
χ2644441-24-2-211-21-4-2-1-1-2-2-2220000221-10000-2211-1-100000001-100000
χ2744441-2-4-2-211-210233222-2-2000000-1-30000-22-1-11100000001-100000
χ2844441-2-4-2-211-2102332-2-222000000-1-300002-211-1-10000000-1100000
χ2944441-2-4-2-211-2102-3-322222000000-130000-2-2-1-1-1-100000001100000
χ3044441-2-4-2-211-2102-3-32-2-2-2-2000000-1300002211110000000-1-100000
χ314444-21411-2-21-241-2-210000222211-2-20000000000-1-1-1-12-1-10000000
χ324444-21411-2-21-241-2-210000-2-2-2-211-2-200000000001111-2110000000
χ334444-21411-2-21-2-4122100002222-1-1-220000000000-1-1-1-1-2110000000
χ344444-21411-2-21-2-412210000-2-2-2-2-1-1-22000000000011112-1-10000000
χ3544-4-44404-44-4-4-40000000000000000040-4000000000000000000000
χ364-44-4440-44-44-4-400000000000000000040-400000000000000000000
χ374-4-44440-4-4-4-4440000000002-2-22000000000000002-2-220000000000
χ384-4-44440-4-4-4-444000000000-222-200000000000000-222-20000000000
χ394-4-44-210-1-1221-203−2i32i3-300002-2-22−i3i3000000000000-111-10−i3i30000000
χ404-4-44-210-1-1221-203−2i32i3-30000-222-2−i3i30000000000001-1-110i3−i30000000
χ414-4-44-210-1-1221-2032i3−2i3-300002-2-22i3−i3000000000000-111-10i3−i30000000
χ424-4-44-210-1-1221-2032i3−2i3-30000-222-2i3−i30000000000001-1-110−i3i30000000
χ438888-42-822-4-42-40-200-2000000000040000000000000000000000000
χ4488-8-82-40-442-24-200000004-40000000000000000-2200000000000000
χ4588-8-82-40-442-24-20000000-4400000000000000002-200000000000000
χ4688-8-8-4202-2-44-24000000000−2i2−2i22i22i200000000000000i2i2−i2−i20000000000
χ4788-8-8-4202-2-44-240000000002i22i2−2i2−2i200000000000000−i2−i2i2i20000000000
χ488-88-82-404-4-224-2000004-40000000000000000-220000000000000000
χ498-88-82-404-4-224-200000-4400000000000000002-20000000000000000
χ508-88-8-420-224-4-24000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000000
χ518-88-8-420-224-4-240000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000000
χ528-8-882-4044-2-2-4200−2i32i30000000002i3−2i300000000000000000000000000
χ538-8-882-4044-2-2-42002i3−2i3000000000−2i32i300000000000000000000000000
χ548-8-88-420-2-2442-40-6006000000000000000000000000000000000000

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