Finite Group Databasebeta

← Group #63558

Character table — Group #63558

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size11222222222224444444444441212121212121212121212123636
order1223344666612123666612121212121212226666882424242488
χ1111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1i−iii−i−ii−i
χ611111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1−ii−i−iii−ii
χ711111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111i−iii−i−i−ii
χ811111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111−ii−i−iiii−i
χ92222-122-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ102222-122-1-12-122-12-1-1-12-1-1-1-1-1-1-2-2111100000000
χ112222-1-2-2-1-12-1-2-2-12-1-1-1-21111112-2-1-11100000000
χ122222-1-2-2-1-12-1-2-2-12-1-1-1-2111111-2211-1-100000000
χ13222-122222-12-1-1-1-1-1-1-1-122-1-1-1-100000022-1-1-1-100
χ14222-122222-12-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2111100
χ15222-12-2-222-1211-1-1-1-1-11-2-211110000002i−2i−i−iii00
χ16222-12-2-222-1211-1-1-1-1-11-2-21111000000−2i2iii−i−i00
χ1722-2222-2-2-222222-2-2-22-22-222-2-200000000000000
χ1822-222-22-2-222-2-22-2-2-222-22-2-22200000000000000
χ1922-22-12-2112-122-1-211-1-2-11-1-11100−i3i3−i3i300000000
χ2022-22-12-2112-122-1-211-1-2-11-1-11100i3−i3i3−i300000000
χ2122-22-1-22112-1-2-2-1-211-121-111-1-100−i3i3i3−i300000000
χ2222-22-1-22112-1-2-2-1-211-121-111-1-100i3−i3−i3i300000000
χ2322-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000−i3i3−i3i300
χ2422-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000i3−i3i3−i300
χ2522-2-12-22-2-2-1211-1111-1-1-2211-1-1000000003−3−3300
χ2622-2-12-22-2-2-1211-1111-1-1-2211-1-100000000−333−300
χ27444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000
χ28444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000
χ2944-4-2-24-422-2-2-2-212-1-112-2211-1-100000000000000
χ3044-4-2-2-4422-2-22212-1-11-22-2-1-11100000000000000
χ314-40440000-4-4004000-4000000000000000000000
χ324-404-200−2i32i3-4200-20−2i32i32000000000000000000000
χ334-404-2002i3−2i3-4200-202i3−2i32000000000000000000000
χ344-40-2400002-423−23-2000200023−230000000000000000
χ354-40-2400002-4−2323-20002000−23230000000000000000
χ364-40-2-200−2i32i32223−2310i3−i3-1000−333i−3i00000000000000
χ374-40-2-200−2i32i322−232310i3−i3-10003−3−3i3i00000000000000
χ384-40-2-2002i3−2i32223−2310−i3i3-1000−33−3i3i00000000000000
χ394-40-2-2002i3−2i322−232310−i3i3-10003−33i−3i00000000000000

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