Finite Group Databasebeta

← Group #11780663

Character table — Group #11780663

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111144444444488888161616162424242424242424242424242424363648484848487272727272
order122233466666641212121212121212244466881212242424244441212121228888
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111-111-1-11-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-111-1-11111111-1-1111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111
χ51111111111111-1-1-1111-1-1-111-1-11111-1-1111111-11-1-1-1-111-1-1
χ61111111111111-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-11111-111-1-1-111
χ71111111111111-1-1-1111-1-1-1-1-111-1-11111111111-1-11-1-1-1-1-111
χ81111111111111-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1111-1111-111-1-1
χ9222222222222222222222200000000000000-2-200000-20000
χ102222222222222-2-2-2222-2-2-200000000000000-2-20000020000
χ11222222-2222222000-2-2-2000002-200002200002-200-20000000
χ12222222-2222222000-2-2-200000-220000-2-200002-20020000000
χ13222222-2222222000-2-2-20002-2002200000000-220-200000000
χ14222222-2222222000-2-2-2000-2200-2-200000000-220200000000
χ1544441-2411-2-2-214-2-211-2-2110000002200-1-1-1-100200-1-100000
χ1644441-2411-2-2-214-2-211-2-211000000-2-200111100-2001100000
χ1744441-2411-2-2-21-42211-22-1-10000002200-1-1-1-100-2001100000
χ1844441-2411-2-2-21-42211-22-1-1000000-2-200111100200-1-100000
χ194444-214-2-2111-2411-2-211-2-22222-1-100-1-10000000-1-10000000
χ204444-214-2-2111-2411-2-211-2-2-2-2-2-21100110000000110000000
χ214444-214-2-2111-2-4-1-1-2-21-12222-2-2-1-100110000000-110000000
χ224444-214-2-2111-2-4-1-1-2-21-122-2-2221100-1-100000001-10000000
χ234444-21-4-2-2111-203322-1-3002-2-22-1-1001100000001-10000000
χ244444-21-4-2-2111-203322-1-300-222-21100-1-10000000-110000000
χ254444-21-4-2-2111-20-3-322-13002-22-2-1-100-1-10000000110000000
χ264444-21-4-2-2111-20-3-322-1300-22-221100110000000-1-10000000
χ2744-4-44404-44-4-4-400000000000000000000000000000002-200
χ2844-4-44404-44-4-4-40000000000000000000000000000000-2200
χ294-44-41-20-1-122-210−2i32i33-300−i3i30000002-20011-1-100000−i3i300000
χ304-44-41-20-1-122-210−2i32i33-300−i3i3000000-2200-1-11100000i3−i300000
χ314-44-41-20-1-122-2102i3−2i33-300i3−i30000002-20011-1-100000i3−i300000
χ324-44-41-20-1-122-2102i3−2i33-300i3−i3000000-2200-1-11100000−i3i300000
χ334-44-4440-4-4-4-4440000000000000002-200-2-222000000000000
χ344-44-4440-4-4-4-444000000000000000-220022-2-2000000000000
χ354-4-44440-44-44-4-40000000000000000000000000000000002i−2i
χ364-4-44440-44-44-4-4000000000000000000000000000000000−2i2i
χ3788882-4-822-4-4-42000-2-2400000000000000000000000000000
χ3888-8-82-402-2-444-20000000000000000000i6−i6i6−i6000000000000
χ3988-8-82-402-2-444-20000000000000000000−i6i6−i6i6000000000000
χ4088-8-8-420-442-2-240000000000000−2i32i300000000000000000000
χ4188-8-8-420-442-2-2400000000000002i3−2i300000000000000000000
χ428-88-82-40-2-244-42000-66000000000000000000000000000000
χ438-88-8-42044-2-22-40−2i32i300002i3−2i300000000000000000000000000
χ448-88-8-42044-2-22-402i3−2i30000−2i32i300000000000000000000000000
χ458-8-882-40-224-44-20000000000000000000i6−i6−i6i6000000000000
χ468-8-882-40-224-44-20000000000000000000−i6i6i6−i6000000000000
χ478-8-88-4204-4-22-240000000000000000023−230000000000000000
χ488-8-88-4204-4-22-2400000000000000000−23230000000000000000

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