Finite Group Databasebeta

← Group #10593492

Character table — Group #10593492

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1111224444444444448812121212121212121212121218182424242424243636363636
order1222223366666666666644441212121212121212442466121248888
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1
χ61111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-111
χ71111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111
χ81111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1
χ922222222222222222222000000000000-2-2000000-20000
χ102222-2-22222-2-2-2-22222-2-2000000000000-2-200000020000
χ112-22-200222-200002-2-2-200002i−2i00002i2i−2i−2i2-200000000000
χ122-22-200222-200002-2-2-20000−2i2i0000−2i−2i2i2i2-200000000000
χ132-22-200222-200002-2-2-2002i−2i002i2i−2i−2i0000-2200000000000
χ142-22-200222-200002-2-2-200−2i2i00−2i−2i2i2i0000-2200000000000
χ152-2-222-222-2-222-2-2-2-2222-20000000000000000000002−22−2
χ162-2-222-222-2-222-2-2-2-2222-2000000000000000000000−22−22
χ172-2-22-2222-2-2-2-222-2-222-220000000000000000000002−2−22
χ182-2-22-2222-2-2-2-222-2-222-22000000000000000000000−222−2
χ194444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-10000000000000
χ204444441-2111111-2-2-21-2-2-2-2-2-2111111110000000000000
χ21444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000
χ22444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000
χ234444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-111110000000000000
χ244444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-10000000000000
χ254444-4-4-21-2-22222111-2-1-1000000000000002-2-1-11100000
χ264444-4-4-21-2-22222111-2-1-100000000000000-2211-1-100000
χ2744-4-4001-2-113-33-32-22-10000003−33−33−33−30000000000000
χ2844-4-4001-2-113-33-32-22-1000000−33−33−33−330000000000000
χ2944-4-4001-2-11-33-332-22-10000003−33−3−33−330000000000000
χ3044-4-4001-2-11-33-332-22-1000000−33−333−33−30000000000000
χ3144-4-40044-440000-44-4-4000000000000000000000000000
χ324-44-4001-21-13-3-33-222-1002i−2i2i−2i−i−iii−i−iii0000000000000
χ334-44-4001-21-13-3-33-222-100−2i2i−2i2iii−i−iii−i−i0000000000000
χ344-44-4001-21-1-333-3-222-1002i−2i−2i2i−i−iiiii−i−i0000000000000
χ354-44-4001-21-1-333-3-222-100−2i2i2i−2iii−i−i−i−iii0000000000000
χ364-4-444-41-2-1-111-1-122-21-220000−i3i3i3−i3−i3i3i3−i30000000000000
χ374-4-444-41-2-1-111-1-122-21-220000i3−i3−i3i3i3−i3−i3i30000000000000
χ384-4-444-4-2122-2-222-1-11-21-10000000000000000−i3i3−i3i300000
χ394-4-444-4-2122-2-222-1-11-21-10000000000000000i3−i3i3−i300000
χ404-4-44-441-2-1-1-1-11122-212-20000−i3i3i3−i3i3−i3−i3i30000000000000
χ414-4-44-441-2-1-1-1-11122-212-20000i3−i3−i3i3−i3i3i3−i30000000000000
χ424-4-44-44-212222-2-2-1-11-2-110000000000000000−i3i3i3−i300000
χ434-4-44-44-212222-2-2-1-11-2-110000000000000000i3−i3−i3i300000
χ4488-8-800-424-40000-22-24000000000000000000000000000
χ458-88-800-42-4400002-2-24000000000000000000000000000

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