Finite Group Databasebeta

← Group #11779318

Character table — Group #11779318

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111144444444488888121212121212121216161616181818182424242424242424242448484848487272727272
order12223346666662661212222288886661244444466662424242441212121228888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-111111111111111-1-1-1-1-111-1-11-1-1-1-1
χ3111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111-1-1111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111-1-1-11111-1-11111-1-1-1111111-111-1-11111-11-1-1-1-111-1-1
χ61111111111111-1-1-11111-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111-111-1-1-111
χ71111111111111-1-1-111-1-1111111-1-1-111111-11-1-1111111-1-11-1-1-1-1-111
χ81111111111111-1-1-111-1-111-1-1-1-1-1-1-111111-11-1-111-1-1-1-11-1111-111-1-1
χ9222222222222222222000000002222-2-2-2-2000000000000000-20000
χ102222222222222-2-2-22200000000-2-2-22-2-2-2-200000000000000020000
χ11222222-2222222000-2-200220000000-22-22-20-20022000000-20000000
χ12222222-2222222000-2-200-2-20000000-22-22-20200-2-200000020000000
χ13222222-2222222000-2-222000000000-2-22-22-20220000000-200000000
χ14222222-2222222000-2-2-2-2000000000-2-22-2220-2-20000000200000000
χ152-22-22202-2-22-2-200000002-2−i2−i2i2i2000020-2000002-2−i2−i2i2i200000000−i2i2
χ162-22-22202-2-22-2-200000002-2i2i2−i2−i2000020-2000002-2i2i2−i2−i200000000i2−i2
χ172-22-22202-2-22-2-20000000-22−i2−i2i2i2000020-200000-22−i2−i2i2i200000000i2−i2
χ182-22-22202-2-22-2-20000000-22i2i2−i2−i2000020-200000-22i2i2−i2−i200000000−i2i2
χ192-2-22220-22-2-22-2000002-200−i2i2−i2i20000020-2002-200−i2i2−i2i2000000−i2i200
χ202-2-22220-22-2-22-2000002-200i2−i2i2−i20000020-2002-200i2−i2i2−i2000000i2−i200
χ212-2-22220-22-2-22-200000-2200−i2i2−i2i20000020-200-2200−i2i2−i2i2000000i2−i200
χ222-2-22220-22-2-22-200000-2200i2−i2i2−i20000020-200-2200i2−i2i2−i2000000−i2i200
χ2344441-2411-2-2-214-2-2110000222211-2-20000000000-1-1-1-1200-1-100000
χ2444441-2411-2-2-214-2-2110000-2-2-2-211-2-200000000001111-2001100000
χ2544441-2411-2-2-21-4221100002222-1-12-20000000000-1-1-1-1-2001100000
χ2644441-2411-2-2-21-422110000-2-2-2-2-1-12-200000000001111200-1-100000
χ274444-214-2-2111-2411-2-222220000-2-211000022-1-1-1-100000-1-10000000
χ284444-214-2-2111-2411-2-2-2-2-2-20000-2-2110000-2-2111100000110000000
χ294444-214-2-2111-2-4-1-1-2-222-2-2000022-1100002-2-1-11100000-110000000
χ304444-214-2-2111-2-4-1-1-2-2-2-222000022-110000-2211-1-1000001-10000000
χ314444-21-4-2-2111-20332222-2-2000000-3-10000-22-1-111000001-10000000
χ324444-21-4-2-2111-203322-2-222000000-3-100002-211-1-100000-110000000
χ334444-21-4-2-2111-20-3-32222220000003-10000-2-2-1-1-1-100000110000000
χ344444-21-4-2-2111-20-3-322-2-2-2-20000003-1000022111100000-1-10000000
χ3544-4-41-20-1-1-22210−2i32i33-300002-2-22−i3i3000000000000-111-1000−i3i300000
χ3644-4-41-20-1-1-22210−2i32i33-30000-222-2−i3i30000000000001-1-11000i3−i300000
χ3744-4-41-20-1-1-222102i3−2i33-300002-2-22i3−i3000000000000-111-1000i3−i300000
χ3844-4-41-20-1-1-222102i3−2i33-30000-222-2i3−i30000000000001-1-11000−i3i300000
χ3944-4-4440-4-44-4-440000000002-2-22000000000000002-2-220000000000
χ4044-4-4440-4-44-4-44000000000-222-200000000000000-222-20000000000
χ414-44-44404-4-44-4-400000000000000000-404000000000000000000000
χ424-4-44440-44-4-44-4000000000000000000-40400000000000000000000
χ4388882-4-822-4-4-42000-2-2000000000004000000000000000000000000
χ4488-8-82-40-2-2-4442000-66000000000000000000000000000000000000
χ4588-8-8-420442-2-2-40−2i32i300000000002i3−2i300000000000000000000000000
χ4688-8-8-420442-2-2-402i3−2i30000000000−2i32i300000000000000000000000000
χ478-88-82-402-24-44-2000000000−2i2−2i22i22i200000000000000i2i2−i2−i20000000000
χ488-88-82-402-24-44-20000000002i22i2−2i2−2i200000000000000−i2−i2i2i20000000000
χ498-88-8-420-44-22-2400000004-40000000000000000-2200000000000000
χ508-88-8-420-44-22-240000000-4400000000000000002-200000000000000
χ518-8-882-40-2244-4-2000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000000
χ528-8-882-40-2244-4-20000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000000
χ538-8-88-4204-4-2-224000004-40000000000000000-220000000000000000
χ548-8-88-4204-4-2-22400000-4400000000000000002-20000000000000000

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