Finite Group Databasebeta

← Group #63580

Character table — Group #63580

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size11222222222224444444444441212121212121212121212123636
order122223366666636666666666624446612121212121244
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ5111-1-111111-1-1111-1-1-1111-1-1-1-11-1i−i11-1-1ii−i−ii−i
χ6111-1-111111-1-1111-1-1-1111-1-1-1-11-1−ii11-1-1−i−iii−ii
χ7111-1-111111-1-1111-1-1-1111-1-1-1-1-11i−i-1-111ii−i−i−ii
χ8111-1-111111-1-1111-1-1-1111-1-1-1-1-11−ii-1-111−i−iiii−i
χ9222222-12-1-122-1-122-1-1-1-1-1-1-1-1-12200-1-1-1-1000000
χ10222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-2-2001111000000
χ1122222-12-122-1-12-1-1-122-1-1-1-1-1-1-100220000-1-1-1-100
χ1222222-12-122-1-12-1-1-122-1-1-1-1-1-1-100-2-20000111100
χ13222-2-22-12-1-1-2-2-1-12-211-1-1-111112-200-1-111000000
χ14222-2-22-12-1-1-2-2-1-12-211-1-1-11111-220011-1-1000000
χ15222-2-2-12-122112-1-11-2-2-1-1-11111002i−2i0000−i−iii00
χ16222-2-2-12-122112-1-11-2-2-1-1-1111100−2i2i0000ii−i−i00
χ1722-22-2222-2-22222-2-22-22-2-222-2-200000000000000
χ1822-22-22-121122-1-1-2-2-11-111-1-1110000−i3i3−i3i3000000
χ1922-22-22-121122-1-1-2-2-11-111-1-1110000i3−i3i3−i3000000
χ2022-22-2-12-1-2-2-1-12-1112-2-111-1-11100000000−i3i3−i3i300
χ2122-22-2-12-1-2-2-1-12-1112-2-111-1-11100000000i3−i3i3−i300
χ2222-2-22222-2-2-2-222-22-222-2-2-2-22200000000000000
χ2322-2-222-1211-2-2-1-1-221-1-11111-1-10000−i3i3i3−i3000000
χ2422-2-222-1211-2-2-1-1-221-1-11111-1-10000i3−i3−i3i3000000
χ2522-2-22-12-1-2-2112-11-1-22-11111-1-1000000003−3−3300
χ2622-2-22-12-1-2-2112-11-1-22-11111-1-100000000−333−300
χ2744444-2-2-2-2-2-2-2-21-2-2-2-2111111100000000000000
χ28444-4-4-2-2-2-2-222-21-2222111-1-1-1-100000000000000
χ2944-44-4-2-2-222-2-2-2122-221-1-111-1-100000000000000
χ3044-4-44-2-2-22222-212-22-21-1-1-1-11100000000000000
χ314-400044-40000-440000-400000000000000000000
χ324-40004-2-4−2i32i3002-200002−2i32i3000000000000000000
χ334-40004-2-42i3−2i3002-2000022i3−2i3000000000000000000
χ344-4000-24200−2i32i3-4-20000200−2i32i30000000000000000
χ354-4000-242002i3−2i3-4-200002002i3−2i30000000000000000
χ364-4000-2-22−2i32i3−2i32i3210000-1i3−i3i3−i33-300000000000000
χ374-4000-2-22−2i32i32i3−2i3210000-1i3−i3−i3i3-3300000000000000
χ384-4000-2-222i3−2i3−2i32i3210000-1−i3i3i3−i3-3300000000000000
χ394-4000-2-222i3−2i32i3−2i3210000-1−i3i3−i3i33-300000000000000

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