Finite Group Databasebeta

← Group #11780698

Character table — Group #11780698

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
χ51111111111111-11-1-11-1-11-11-11-11111-1-1111111-11-1-1-1-111-1-1
χ61111111111111-11-1-11-1-11-11-11-111-1-1-1-1-1-1-1-11111-111-1-1-111
χ71111111111111-11-1-11-1-11-1-11-11-1-11111111111-1-11-1-1-1-1-111
χ81111111111111-11-1-11-1-11-1-11-11-1-1-1-111-1-1-1-1111-1111-111-1-1
χ9222222222222222222222200000000000000-2-200000-20000
χ102222222222222-22-2-22-2-22-200000000000000-2-20000020000
χ11222222-22222220-200-200-20020-200002200002-200-20000000
χ12222222-22222220-200-200-200-2020000-2-200002-20020000000
χ13222222-22222220-200-200-2020-202200000000-220-200000000
χ14222222-22222220-200-200-20-2020-2-200000000-220200000000
χ1544441-241-211-2-241-2-2111-2-20000002200-1-1-1-100200-1-100000
χ1644441-241-211-2-241-2-2111-2-2000000-2-200111100-2001100000
χ1744441-241-211-2-2-41221-1-1-220000002200-1-1-1-100-2001100000
χ1844441-241-211-2-2-41221-1-1-22000000-2-200111100200-1-100000
χ194444-214-21-2-2114-211-2-2-2112222-1-100-1-10000000-1-10000000
χ204444-214-21-2-2114-211-2-2-211-2-2-2-21100110000000110000000
χ214444-214-21-2-211-4-2-1-1-2221-12-22-2-1-100110000000-110000000
χ224444-214-21-2-211-4-2-1-1-2221-1-22-221100-1-100000001-10000000
χ234444-21-4-21-2-2110233200-1-32-2-22-1-1001100000001-10000000
χ244444-21-4-21-2-2110233200-1-3-222-21100-1-10000000-110000000
χ254444-21-4-21-2-21102-3-3200-1322-2-2-1-100-1-10000000110000000
χ264444-21-4-21-2-21102-3-3200-13-2-2221100110000000-1-10000000
χ2744-4-41-20-121-12-20-3−2i32i33−i3i3000000002i−2i00ii−i−i000003−300000
χ2844-4-41-20-121-12-20-3−2i32i33−i3i300000000−2i2i00−i−iii00000−3300000
χ2944-4-41-20-121-12-20-32i3−2i33i3−i3000000002i−2i00ii−i−i00000−3300000
χ3044-4-41-20-121-12-20-32i3−2i33i3−i300000000−2i2i00−i−iii000003−300000
χ3144-4-4440-4-44-4-440000000000000002i−2i00−2i−2i2i2i000000000000
χ3244-4-4440-4-44-4-44000000000000000−2i2i002i2i−2i−2i000000000000
χ334-44-44404-4-4-44-40000000000000000000000000000000002i−2i
χ344-44-44404-4-4-44-4000000000000000000000000000000000−2i2i
χ354-4-44440-44-44-4-400000000000000000000000000000002i−2i00
χ364-4-44440-44-44-4-40000000000000000000000000000000−2i2i00
χ3788882-4-82-422-4-40-200-2004000000000000000000000000000
χ3888-8-82-40-242-24-40600-6000000000000000000000000000000
χ3988-8-8-4204-2-44-2200−2i32i302i3−2i30000000000000000000000000000
χ4088-8-8-4204-2-44-22002i3−2i30−2i32i30000000000000000000000000000
χ418-88-82-4024-2-2-440000000000000000000i6−i6i6−i6000000000000
χ428-88-82-4024-2-2-440000000000000000000−i6i6−i6i6000000000000
χ438-88-8-420-4-2442-20000000000000000023−230000000000000000
χ448-88-8-420-4-2442-200000000000000000−23230000000000000000
χ458-8-882-40-2-4-224400000000000000000006−6−66000000000000
χ468-8-882-40-2-4-22440000000000000000000−666−6000000000000
χ478-8-88-420424-4-2-20000000000000−2i32i300000000000000000000
χ488-8-88-420424-4-2-200000000000002i3−2i300000000000000000000

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