Finite Group Databasebeta

← Group #10593422

Character table — Group #10593422

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1111224444444444448812121212121212121212121218182424242424243636363636
order122244336666661212121212122244666612121212442466121248888
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
χ112-22-22i−2i2222-2-2-2-22i2i−2i−2i2i−2i0000000000000000000002−2−i2i2
χ122-22-22i−2i2222-2-2-2-22i2i−2i−2i2i−2i000000000000000000000−22i2−i2
χ132-22-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i2i0000000000000000000002−2i2−i2
χ142-22-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i2i000000000000000000000−22−i2i2
χ152-2-220022-2-22-22-2000000002i−2i00002i2i−2i−2i2-200000000000
χ162-2-220022-2-22-22-200000000−2i2i0000−2i−2i2i2i2-200000000000
χ172-2-220022-2-22-22-20000002-20022-2-20000-2200000000000
χ182-2-220022-2-22-22-2000000-2200-2-2220000-2200000000000
χ194444441-21-21-2-211111-2-22222-1-1-1-1-1-1-1-10000000000000
χ204444441-21-21-2-211111-2-2-2-2-2-2111111110000000000000
χ21444444-21-21-211-2-2-2-2-2110000000000000022-1-1-1-100000
χ22444444-21-21-211-2-2-2-2-21100000000000000-2-2111100000
χ234444-4-41-21-21-2-21-1-1-1-12222-2-2-1-1-1-111110000000000000
χ244444-4-41-21-21-2-21-1-1-1-122-2-2221111-1-1-1-10000000000000
χ254444-4-4-21-21-211-22222-1-1000000000000002-2-1-11100000
χ264444-4-4-21-21-211-22222-1-100000000000000-2211-1-100000
χ2744-4-4001-2-12-1-2213-33-3000000−i3i3−i3i3−i3i3−i3i30000000000000
χ2844-4-4001-2-12-1-2213-33-3000000i3−i3i3−i3i3−i3i3−i30000000000000
χ2944-4-4001-2-12-1-221-33-33000000−i3i3−i3i3i3−i3i3−i30000000000000
χ3044-4-4001-2-12-1-221-33-33000000i3−i3i3−i3−i3i3−i3i30000000000000
χ3144-4-40044-4-4-44-440000000000000000000000000000000
χ324-44-44i−4i1-21-2-122-1ii−i−i−2i2i0000−i3i3i3−i33−3−330000000000000
χ334-44-44i−4i1-21-2-122-1ii−i−i−2i2i0000i3−i3−i3i3−333−30000000000000
χ344-44-44i−4i-21-212-1-12−2i−2i2i2ii−i0000000000000000−i3i33−300000
χ354-44-44i−4i-21-212-1-12−2i−2i2i2ii−i0000000000000000i3−i3−3300000
χ364-44-4−4i4i1-21-2-122-1−i−iii2i−2i0000−i3i3i3−i3−333−30000000000000
χ374-44-4−4i4i1-21-2-122-1−i−iii2i−2i0000i3−i3−i3i33−3−330000000000000
χ384-44-4−4i4i-21-212-1-122i2i−2i−2i−ii0000000000000000−i3i3−3300000
χ394-44-4−4i4i-21-212-1-122i2i−2i−2i−ii0000000000000000i3−i33−300000
χ404-4-44001-2-1212-2-13i−3i−3i3i002-22i−2i-1-111−i−iii0000000000000
χ414-4-44001-2-1212-2-13i−3i−3i3i00-22−2i2i11-1-1ii−i−i0000000000000
χ424-4-44001-2-1212-2-1−3i3i3i−3i002-2−2i2i-1-111ii−i−i0000000000000
χ434-4-44001-2-1212-2-1−3i3i3i−3i00-222i−2i11-1-1−i−iii0000000000000
χ4488-8-800-424-242-2-40000000000000000000000000000000
χ458-8-8800-424-2-4-2240000000000000000000000000000000

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