Finite Group Databasebeta

← Group #10591483

Character table — Group #10591483

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111122222222224444444488888888888121212121212121212121212242424242424363672
order1222334466666636661212121226666666612124488121212122424242424661212882
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ9222222-2-22222222222-2-2-2-2000000000-2-22-20022-2-20000000000000
χ10222222-2-22222222222-2-2-2-2000000000-2-2-2200-2-2220000000000000
χ1122222-122-1-1-1222-1-1-1-1-122-1222-1-1-1-1-1-1-1-100220000-1-1-1-120-1-100000
χ1222222-122-1-1-1222-1-1-1-1-122-1222-1-1-1-1-1-1-1-100-2-200001111-201100000
χ1322222-122-1-1-1222-1-1-1-1-122-1-2-2-2111111-1-100220000-1-1-1-1-201100000
χ1422222-122-1-1-1222-1-1-1-1-122-1-2-2-2111111-1-100-2-20000111120-1-100000
χ152222-1222222-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-12200-1-1-1-100000200-1-1000
χ162222-1222222-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-1-2-200111100000-20011000
χ172222-1222222-1-1-1-1-1-1-12-1-12-211-2-21111-1-12200-1-1-1-100000-20011000
χ182222-1222222-1-1-1-1-1-1-12-1-12-211-2-21111-1-1-2-200111100000200-1-1000
χ192222-12-2-2222-1-1-1-1-1-1-1-211-20−i3i300−i3−i3i3i3112-200-1-11100000000−i3i3000
χ202222-12-2-2222-1-1-1-1-1-1-1-211-20−i3i300−i3−i3i3i311-220011-1-100000000i3−i3000
χ212222-12-2-2222-1-1-1-1-1-1-1-211-20i3−i300i3i3−i3−i3112-200-1-11100000000i3−i3000
χ222222-12-2-2222-1-1-1-1-1-1-1-211-20i3−i300i3i3−i3−i311-220011-1-100000000−i3i3000
χ232-2-22222-2-2-22-2-222-2-22-22-220000000002-2002-2000022-2-2000000000
χ242-2-22222-2-2-22-2-222-2-22-22-220000000002-200-220000-2-222000000000
χ252-2-2222-22-2-22-2-222-2-222-22-2000000000-220000000000000000002-20
χ262-2-2222-22-2-22-2-222-2-222-22-2000000000-22000000000000000000-220
χ272-2-222-12-211-1-2-22-111-112-2-1000−i3i3−i3i3−i3i3-11002-20000-1-11100−i3i300000
χ282-2-222-12-211-1-2-22-111-112-2-1000−i3i3−i3i3−i3i3-1100-22000011-1-100i3−i300000
χ292-2-222-12-211-1-2-22-111-112-2-1000i3−i3i3−i3i3−i3-11002-20000-1-11100i3−i300000
χ302-2-222-12-211-1-2-22-111-112-2-1000i3−i3i3−i3i3−i3-1100-22000011-1-100−i3i300000
χ3144444-2-4-4-2-2-2444-2-2-2-22-4-4200000000022000000000000000000000
χ324444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000
χ334444-2-244-2-2-2-2-2-21111-2-2-2-2-42222-1-1-1-111000000000000000000000
χ344444-2-2-4-4-2-2-2-2-2-2111122220−2i32i300i3i3−i3−i3-1-1000000000000000000000
χ354444-2-2-4-4-2-2-2-2-2-21111222202i3−2i300−i3−i3i3i3-1-1000000000000000000000
χ3644-4-444004-4-44-4-444-4-4000000000000000000000000000000000000
χ3744-4-44-200-2224-4-4-2-22200000000000000000000000i6−i6i6−i6000000000
χ3844-4-44-200-2224-4-4-2-22200000000000000000000000−i6i6−i6i6000000000
χ3944-4-4-24004-4-4-222-2-22200000000000000000000023−230000000000000
χ4044-4-4-24004-4-4-222-2-222000000000000000000000−23230000000000000
χ414-44-44400-44-4-44-44-44-4000000000000000000000000000000000000
χ424-44-44-2002-22-44-4-22-2200000000000000000000000i6−i6−i6i6000000000
χ434-44-44-2002-22-44-4-22-2200000000000000000000000−i6i6i6−i6000000000
χ444-44-4-2400-44-42-22-22-22000000000000000000023−23000000000000000
χ454-44-4-2400-44-42-22-22-220000000000000000000−2323000000000000000
χ464-4-444-2-4422-2-4-44-222-2-2-4420000000002-2000000000000000000000
χ474-4-44-244-4-4-4422-2-222-2-4-224000000000-22000000000000000000000
χ484-4-44-24-44-4-4422-2-222-242-2-40000000002-2000000000000000000000
χ494-4-44-2-24-422-222-21-1-112-22-2000−2i32i3i3−i3i3−i31-1000000000000000000000
χ504-4-44-2-24-422-222-21-1-112-22-20002i3−2i3−i3i3−i3i31-1000000000000000000000
χ514-4-44-2-2-4422-222-21-1-11-22-22000003-3-33-11000000000000000000000
χ524-4-44-2-2-4422-222-21-1-11-22-2200000-333-3-11000000000000000000000
χ5388-8-8-4-400-444-44422-2-2000000000000000000000000000000000000
χ548-88-8-4-4004-444-442-22-2000000000000000000000000000000000000

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