Finite Group Databasebeta

← Group #11780721

Character table — Group #11780721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222224444444448888888888888888816161616161624242424242424242424242424242424242448484872727272
order1222336666663444666121244121212121212121212121212121212121212121212444488121212121212121224242424412128888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-111-1-1
χ6111111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-111
χ7111111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-111
χ8111111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111-1-1
χ922222222222222-2-2222222-2-2-2-222-2-22-222-2-2-2-22-222-2-20000000000000000000000000
χ1022222222222222-2-222222-22-2-2-2-2-2222-222-2-2-2-2-22-2-2220000000000000000000000000
χ112222222222222-22-2222-2-20022-20000-2-2-2-222-2-2000000002-20000-2-2002200000000000
χ122222222222222-22-2222-2-20022-20000-2-2-2-222-2-200000000-2200002200-2-200000000000
χ132222222222222-2-22222-2-200-2-220000-22-2-2-2-2220000002-200002200-2-20000000000000
χ142222222222222-2-22222-2-200-2-220000-22-2-2-2-222000000-220000-2-200220000000000000
χ1522222-122-1-1-12-1222-1-1-122222-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1222200-1-1-1-1-1-1-1-100000000000
χ1622222-122-1-1-12-1222-1-1-122222-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2001111111100000000000
χ1722222-122-1-1-12-1222-1-1-122-2-22-1-11111-12-1-1-1-1-1-1-2-2111122-2-200-1-111-1-11100000000000
χ1822222-122-1-1-12-1222-1-1-122-2-22-1-11111-12-1-1-1-1-1-1-2-21111-2-2220011-1-111-1-100000000000
χ1922222-122-1-1-12-12-2-2-1-1-1222-2-211-1-111-1-2-1-111112-2-1-111000000−i3i3−i3i3−i3i3−i3i300000000000
χ2022222-122-1-1-12-12-2-2-1-1-1222-2-211-1-111-1-2-1-111112-2-1-111000000i3−i3i3−i3i3−i3i3−i300000000000
χ2122222-122-1-1-12-12-2-2-1-1-122-22-21111-1-1-1-2-1-11111-2211-1-1000000−i3i3i3−i3−i3i3i3−i300000000000
χ2222222-122-1-1-12-12-2-2-1-1-122-22-21111-1-1-1-2-1-11111-2211-1-1000000i3−i3−i3i3i3−i3−i3i300000000000
χ2322222-122-1-1-12-1-22-2-1-1-1-2-2002-11−i3i3−i3i31-211-1-11100−i3i3−i3i3002-200−i3i311i3−i3-1-100000000000
χ2422222-122-1-1-12-1-22-2-1-1-1-2-2002-11−i3i3−i3i31-211-1-11100−i3i3−i3i300-2200i3−i3-1-1−i3i31100000000000
χ2522222-122-1-1-12-1-22-2-1-1-1-2-2002-11i3−i3i3−i31-211-1-11100i3−i3i3−i3002-200i3−i311−i3i3-1-100000000000
χ2622222-122-1-1-12-1-22-2-1-1-1-2-2002-11i3−i3i3−i31-211-1-11100i3−i3i3−i300-2200−i3i3-1-1i3−i31100000000000
χ2722222-122-1-1-12-1-2-22-1-1-1-2-200-21-1−i3i3i3−i3121111-1-100−i3i3i3−i32-20000-1-1i3−i311−i3i300000000000
χ2822222-122-1-1-12-1-2-22-1-1-1-2-200-21-1−i3i3i3−i3121111-1-100−i3i3i3−i3-22000011−i3i3-1-1i3−i300000000000
χ2922222-122-1-1-12-1-2-22-1-1-1-2-200-21-1i3−i3−i3i3121111-1-100i3−i3−i3i32-20000-1-1−i3i311i3−i300000000000
χ3022222-122-1-1-12-1-2-22-1-1-1-2-200-21-1i3−i3−i3i3121111-1-100i3−i3−i3i3-22000011i3−i3-1-1−i3i300000000000
χ312222-12-1-1222-1-1222-1-1-1-1-122-12222222-1-1-1-1-1-1-1-1-1-1-1-1-100002200000000-1-1-1-12-1-10000
χ322222-12-1-1222-1-1222-1-1-1-1-122-12222222-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000000001111-2110000
χ332222-12-1-1222-1-1222-1-1-1-1-1-2-2-122-2-2-2-22-1-1-1-1-1-1-111111100002200000000-1-1-1-1-2110000
χ342222-12-1-1222-1-1222-1-1-1-1-1-2-2-122-2-2-2-22-1-1-1-1-1-1-11111110000-2-20000000011112-1-10000
χ352222-12-1-1222-1-12-2-2-1-1-1-1-12-21-2-222-2-221-1-11111-11-1-11100000000000000−i3−i3i3i30−i3i30000
χ362222-12-1-1222-1-12-2-2-1-1-1-1-12-21-2-222-2-221-1-11111-11-1-11100000000000000i3i3−i3−i30i3−i30000
χ372222-12-1-1222-1-12-2-2-1-1-1-1-1-221-2-2-2-22221-1-111111-111-1-100000000000000−i3−i3i3i30i3−i30000
χ382222-12-1-1222-1-12-2-2-1-1-1-1-1-221-2-2-2-22221-1-111111-111-1-100000000000000i3i3−i3−i30−i3i30000
χ394444-24-2-2444-2-2-44-4-2-2-22200-24-40000-4222-2-2220000000000000000000000000000000
χ404444-24-2-2444-2-2-4-44-2-2-222002-440000-4-22222-2-20000000000000000000000000000000
χ414444-2-2-2-2-2-2-2-21444111-2-244-2-2-2-2-2-2-2-2-2111111-2-211110000000000000000000000000
χ424444-2-2-2-2-2-2-2-21444111-2-2-4-4-2-2-22222-2-211111122-1-1-1-10000000000000000000000000
χ434444-2-2-2-2-2-2-2-214-4-4111-2-24-4222-2-222-2211-1-1-1-1-2211-1-10000000000000000000000000
χ444444-2-2-2-2-2-2-2-214-4-4111-2-2-4422222-2-2-2211-1-1-1-12-2-1-1110000000000000000000000000
χ454444-2-2-2-2-2-2-2-21-44-41112200-2-22−2i32i3−2i32i322-1-111-1-100i3−i3i3−i30000000000000000000000000
χ464444-2-2-2-2-2-2-2-21-44-41112200-2-222i3−2i32i3−2i322-1-111-1-100−i3i3−i3i30000000000000000000000000
χ474444-2-2-2-2-2-2-2-21-4-44111220022-2−2i32i32i3−2i32-2-1-1-1-11100i3−i3−i3i30000000000000000000000000
χ484444-2-2-2-2-2-2-2-21-4-44111220022-22i3−2i3−2i32i32-2-1-1-1-11100−i3i3i3−i30000000000000000000000000
χ4944-4-444-444-4-4-44000-44-400000000000000000000000000000000000000000000002-200
χ5044-4-444-444-4-4-44000-44-40000000000000000000000000000000000000000000000-2200
χ514-44-4444-4-4-44-440004-4-4000000000000000000000000000002-2000000002-22-20000000
χ524-44-4444-4-4-44-440004-4-400000000000000000000000000000-2200000000-22-220000000
χ534-44-4-24-22-4-442-2000-222−2i32i300000000000−2i32i3000000000000002-200000000−1−i31+i3−1+i31−i30000000
χ544-44-4-24-22-4-442-2000-222−2i32i300000000000−2i32i300000000000000-22000000001+i3−1−i31−i3−1+i30000000
χ554-44-4-24-22-4-442-2000-2222i3−2i3000000000002i3−2i3000000000000002-200000000−1+i31−i3−1−i31+i30000000
χ564-44-4-24-22-4-442-2000-2222i3−2i3000000000002i3−2i300000000000000-22000000001−i3−1+i31+i3−1−i30000000
χ574-4-4444-4-4-44-444000-4-440000000000000000000000000000000000000000000000002i−2i
χ584-4-4444-4-4-44-444000-4-44000000000000000000000000000000000000000000000000−2i2i
χ5988-8-88-4-88-444-8-40004-4400000000000000000000000000000000000000000000000000
χ6088-8-8-484-48-8-84-40004-4400000000000000000000000000000000000000000000000000
χ6188-8-8-4-44-4-44442000-22-2000000000000000006i−6i0000000000000000000000000000000
χ6288-8-8-4-44-4-44442000-22-200000000000000000−6i6i0000000000000000000000000000000
χ638-88-88-48-844-4-8-4000-44400000000000000000000000000000000000000000000000000
χ648-88-8-4-4-4444-4420002-2-2−4i34i3000000000002i3−2i300000000000000000000000000000000000
χ658-88-8-4-4-4444-4420002-2-24i3−4i300000000000−2i32i300000000000000000000000000000000000
χ668-8-888-4-8-84-448-400044-400000000000000000000000000000000000000000000000000
χ678-8-88-4844-88-8-4-400044-400000000000000000000000000000000000000000000000000
χ688-8-88-4-4444-44-42000-2-220000000000000006i−6i000000000000000000000000000000000
χ698-8-88-4-4444-44-42000-2-22000000000000000−6i6i000000000000000000000000000000000

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