Finite Group Databasebeta

← Group #10593437

Character table — Group #10593437

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1111224444444444448812121212121212121212121218182424242424243636363636
order12224433666666121212121212224466661212121244441212121248888
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
χ51111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1
χ922222222222222222222000000000000-2-2000000-20000
χ102222-2-222222222-2-2-2-2-2-2000000000000-2-200000020000
χ1122-2-22-222-2-2-222-222-2-22-2000000000000000000000−i2i2−i2i2
χ1222-2-22-222-2-2-222-222-2-22-2000000000000000000000i2−i2i2−i2
χ1322-2-2-2222-2-2-222-2-2-222-22000000000000000000000−i2i2i2−i2
χ1422-2-2-2222-2-2-222-2-2-222-22000000000000000000000i2−i2−i2i2
χ152-2-220022-22-2-2-22000000002i−2i00002i2i−2i−2i2-200000000000
χ162-2-220022-22-2-2-2200000000−2i2i0000−2i−2i2i2i2-200000000000
χ172-2-220022-22-2-2-220000002-20022-2-20000-2200000000000
χ182-2-220022-22-2-2-22000000-2200-2-2220000-2200000000000
χ194444441-21-2-21-21-2-2-2-2110000000000000022-1-1-1-100000
χ204444441-21-2-21-21-2-2-2-21100000000000000-2-2111100000
χ21444444-21-211-21-21111-2-22222-1-1-1-1-1-1-1-10000000000000
χ22444444-21-211-21-21111-2-2-2-2-2-2111111110000000000000
χ234444-4-41-21-2-21-212222-1-1000000000000002-2-1-11100000
χ244444-4-41-21-2-21-212222-1-100000000000000-2211-1-100000
χ254444-4-4-21-211-21-2-1-1-1-12222-2-2-1-1-1-111110000000000000
χ264444-4-4-21-211-21-2-1-1-1-122-2-2221111-1-1-1-10000000000000
χ2744-4-44-41-2-1221-2-1-2-2221-100000000000000003−33−300000
χ2844-4-44-41-2-1221-2-1-2-2221-10000000000000000−33−3300000
χ2944-4-44-4-212-1-1-21211-1-1-220000−i3i3−i3i3−i3i3−i3i30000000000000
χ3044-4-44-4-212-1-1-21211-1-1-220000i3−i3i3−i3i3−i3i3−i30000000000000
χ3144-4-4-441-2-1221-2-122-2-2-1100000000000000003−3−3300000
χ3244-4-4-441-2-1221-2-122-2-2-110000000000000000−333−300000
χ3344-4-4-44-212-1-1-212-1-1112-20000−i3i3−i3i3i3−i3i3−i30000000000000
χ3444-4-4-44-212-1-1-212-1-1112-20000i3−i3i3−i3−i3i3−i3i30000000000000
χ354-44-400444-44-4-4-40000000000000000000000000000000
χ364-44-400-21-2-112-123i−3i3i−3i000000−i3i3i3−i33−3−330000000000000
χ374-44-400-21-2-112-123i−3i3i−3i000000i3−i3−i3i3−333−30000000000000
χ384-44-400-21-2-112-12−3i3i−3i3i000000−i3i3i3−i3−333−30000000000000
χ394-44-400-21-2-112-12−3i3i−3i3i000000i3−i3−i3i33−3−330000000000000
χ404-4-4400-2121-12-1-23i−3i−3i3i002-22i−2i-1-111−i−iii0000000000000
χ414-4-4400-2121-12-1-23i−3i−3i3i00-22−2i2i11-1-1ii−i−i0000000000000
χ424-4-4400-2121-12-1-2−3i3i3i−3i002-2−2i2i-1-111ii−i−i0000000000000
χ434-4-4400-2121-12-1-2−3i3i3i−3i00-222i−2i11-1-1−i−iii0000000000000
χ448-88-8002-424-4-24-20000000000000000000000000000000
χ458-8-88002-4-2-44-2420000000000000000000000000000000

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