Finite Group Databasebeta

← Group #10590988

Character table — Group #10590988

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11222222244444444444488888888881818242424242424242424242424363636
order1223344663666881212121212126122424242424242424882266668824242424248
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ31111111111111111111111111111111-1-11-111-1-11-111-1-1-1-1-1
χ41111111111111111111111111111111-1-1-11-1-111-11-1-111-1-1-1
χ51111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11
χ61111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11
χ71111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-11111-1
χ81111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-111-1
χ922222-2-22222222i−2i-2-2-2-2-2-22-22i2i2i2i−2i−2i−2i−2i00000000000000000
χ1022222-2-2222222−2i2i-2-2-2-2-2-22-2−2i−2i−2i−2i2i2i2i2i00000000000000000
χ112222-1222-1-12-1-1222-1-1-12-1-1-12-1-1-12-1-1-1000200-1-10200-1-1000
χ122222-1222-1-12-1-1222-1-1-12-1-1-12-1-1-12-1-1-1000-200110-20011000
χ132222-1222-1-12-1-1-2-22-1-1-12-1-1-1-2111-2111000200-1-10-20011000
χ142222-1222-1-12-1-1-2-22-1-1-12-1-1-1-2111-2111000-200110200-1-1000
χ152222-1-2-22-1-12-1-12i−2i-2111-21-112i−i−i−i−2iiii000000−i3i300003−3000
χ162222-1-2-22-1-12-1-12i−2i-2111-21-112i−i−i−i−2iiii000000i3−i30000−33000
χ172222-1-2-22-1-12-1-1−2i2i-2111-21-11−2iiii2i−i−i−i000000−i3i30000−33000
χ182222-1-2-22-1-12-1-1−2i2i-2111-21-11−2iiii2i−i−i−i000000i3−i300003−3000
χ19222-1222-12-1-12-122-12-1-1-12-1-1-12-1-1-12-1-10020-1-10020-1-100000
χ20222-1222-12-1-12-122-12-1-1-12-1-1-12-1-1-12-1-100-201100-201100000
χ21222-1222-12-1-12-1-2-2-12-1-1-12-1-11-2111-2110020-1-100-201100000
χ22222-1222-12-1-12-1-2-2-12-1-1-12-1-11-2111-21100-20110020-1-100000
χ23222-12-2-2-12-1-12-12i−2i1-2111-2-11−i2i−i−ii−2iii0000−i3i300003−300000
χ24222-12-2-2-12-1-12-12i−2i1-2111-2-11−i2i−i−ii−2iii0000i3−i30000−3300000
χ25222-12-2-2-12-1-12-1−2i2i1-2111-2-11i−2iii−i2i−i−i0000−i3i30000−3300000
χ26222-12-2-2-12-1-12-1−2i2i1-2111-2-11i−2iii−i2i−i−i0000i3−i300003−300000
χ2722-2222-2222-2-2200-2-2-2-222-2200000000000000000000002-20
χ2822-2222-2222-2-2200-2-2-2-222-220000000000000000000000-220
χ2922-222-22222-2-22002222-2-2-2-2000000002200000000000000-2
χ3022-222-22222-2-22002222-2-2-2-200000000-2-2000000000000002
χ31444-2-244-2-21-2-2144-2-211-2-211-2-211-2-21100000000000000000
χ32444-2-244-2-21-2-21-4-4-2-211-2-21122-1-122-1-100000000000000000
χ33444-2-2-4-4-2-21-2-214i−4i22-1-1221-1−2i−2iii2i2i−i−i00000000000000000
χ34444-2-2-4-4-2-21-2-21−4i4i22-1-1221-12i2i−i−i−2i−2iii00000000000000000
χ3544-44-24-44-2-2-42-200-42224-22-20000000000000000000000000
χ3644-44-2-444-2-2-42-2004-2-2-2-42220000000000000000000000000
χ3744-4-244-4-24-22-4-2002-422-242-20000000000000000000000000
χ3844-4-24-44-24-22-4-200-24-2-22-4220000000000000000000000000
χ3944-4-2-24-4-2-212210022-1-1-2-2-11003i−3i003i−3i00000000000000000
χ4044-4-2-24-4-2-212210022-1-1-2-2-1100−3i3i00−3i3i00000000000000000
χ4144-4-2-2-44-2-2122100-2-21122-1-1003-300-3300000000000000000
χ4244-4-2-2-44-2-2122100-2-21122-1-100-33003-300000000000000000
χ434-404400-4-4400-400000000000000000022−22000000000000000
χ444-404400-4-4400-4000000000000000000−2222000000000000000
χ458-808-400-84-400400000000000000000000000000000000000
χ468-80-48004-8-400400000000000000000000000000000000000
χ478-80-4-40044200-200006i−6i00000000000000000000000000000
χ488-80-4-40044200-20000−6i6i00000000000000000000000000000

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