Finite Group Databasebeta

← Group #13151494

Character table — Group #13151494

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order12223666224121233666666663666666666666612121212224444444444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111111111111-11-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-11-1-1-1-11
χ411111111111111111111111111111111111111111-1-11-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-111-1
χ5111111111-1-1-1-1111111111-1111-1-1111-1111-1-1-1-1-1-111-1-1-1111-11-1-111-1-111-1-1111111-1-1-1-1
χ6111111111-1-1-1-1111111111-1111-1-1111-1111-1-1-1-1-1-11-11-11-1-11-1-11111-1-1-1-111-1-1-1-1-11-1111
χ7111111111-1-1-1-1111111111-1111-1-1111-1111-1-1-1-1-1-1-1111-1-1-1-111-11-1-11111-1-1-1-1-1-11-1111-1
χ8111111111-1-1-1-1111111111-1111-1-1111-1111-1-1-1-1-1-1-1-1-11111-11-11-1-1-111-1-1111111-1-11-1-11
χ911111111-11-1-1-111111111-111-1-1111111-1-1-111-1-1-1-111-1-111-1-11-1-1111-1-1-1-1-1-111-1-11-111-11
χ1011111111-11-1-1-111111111-111-1-1111111-1-1-111-1-1-1-11-11-1-1-11-1111-111-1-11111-1-111-1-11-11-1
χ1111111111-11-1-1-111111111-111-1-1111111-1-1-111-1-1-1-1-11111-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ1211111111-11-1-1-111111111-111-1-1111111-1-1-111-1-1-1-1-1-1-11-11-11-1111-1-111111111-1-1-11-11-1-1
χ1311111111-1-111111111111-1-11-1-1-1-1111-1-1-1-1-1-111111111-11-1-1-1-11-11111-1-11111-1-11-1-1-11-1
χ1411111111-1-111111111111-1-11-1-1-1-1111-1-1-1-1-1-111111-1-111-11-1-11-11111111-1-1-1-111-1-1-11-11
χ1511111111-1-111111111111-1-11-1-1-1-1111-1-1-1-1-1-11111-11-1-1-1-1111-111-1-1-1-1-1-111-1-1111111-1-1
χ1611111111-1-111111111111-1-11-1-1-1-1111-1-1-1-1-1-11111-1-11-111-1111-1-1-1-1-1-111-1-111-1-1-111-111
χ1722222222222222-1-122-1-1222-122-1-1-1-1-12-1-1-1-1-1-12-1-10200200002200000-1-1-1-10000-10000-1
χ1822222222222222-1-122-1-1222-122-1-1-1-1-12-1-1-1-1-1-12-1-10-200-20000-2-20000011110000100001
χ192222222222222-122-1-122-122-1-1-122-1-1-1-12-1-1-1-12-1-1-100200220000200000000-1-1-1-1000-1-10
χ202222222222222-122-1-122-122-1-1-122-1-1-1-12-1-1-1-12-1-1-100-200-2-20000-2000000001111000110
χ21222222222-2-2-2-22-1-122-1-122-2-12211-1-1-1-2-1-1-1111-2110200-200002-200000-1-1110000-100001
χ22222222222-2-2-2-22-1-122-1-122-2-12211-1-1-1-2-1-1-1111-2110-20020000-220000011-1-1000010000-1
χ23222222222-2-2-2-2-122-1-122-12-2-1-1-1-2-2-1-1-112-1-111-211100200-2-200002000000001111000-1-10
χ24222222222-2-2-2-2-122-1-122-12-2-1-1-1-2-2-1-1-112-1-111-211100-200220000-200000000-1-1-1-1000110
χ2522222222-22-2-2-22-1-122-1-12-22-1-2-2-1-1-1-1-12111-1-11-211020020000-2-20000011110000-10000-1
χ2622222222-22-2-2-22-1-122-1-12-22-1-2-2-1-1-1-1-12111-1-11-2110-200-200002200000-1-1-1-10000100001
χ2722222222-22-2-2-2-122-1-122-1-22-11122-1-1-1-1-211-1-1-211100200-220000-20000000011-1-10001-10
χ2822222222-22-2-2-2-122-1-122-1-22-11122-1-1-1-1-211-1-1-211100-2002-20000200000000-1-111000-110
χ2922222222-2-22222-1-122-1-12-2-2-1-2-211-1-1-1-211111-12-1-10200-20000-220000011-1-10000-100001
χ3022222222-2-22222-1-122-1-12-2-2-1-2-211-1-1-1-211111-12-1-10-200200002-200000-1-111000010000-1
χ3122222222-2-2222-122-1-122-1-2-2-111-2-2-1-1-11-211112-1-1-1002002-20000-200000000-1-1110001-10
χ3222222222-2-2222-122-1-122-1-2-2-111-2-2-1-1-11-211112-1-1-100-200-22000020000000011-1-1000-110
χ334444444444444-2-2-2-2-2-2-2-2441-2-2-2-2111-2-21111-2-211000000000000000000000000000000
χ34444444444-4-4-4-4-2-2-2-2-2-2-2-24-41-2-2221112-211-1-122-1-1000000000000000000000000000000
χ3544444444-44-4-4-4-2-2-2-2-2-2-2-2-44122-2-2111-22-1-11122-1-1000000000000000000000000000000
χ3644444444-4-4444-2-2-2-2-2-2-2-2-4-41222211122-1-1-1-1-2-211000000000000000000000000000000
χ3744-4-444-4-4000004444-4-4-4-400400004-4-40000000000000000000000000000000000000000
χ3844-4-444-4-4000004-2-24-422-400-20000-222000000000000000000000000000023−230000000000
χ3944-4-444-4-4000004-2-24-422-400-20000-2220000000000000000000000000000−23230000000000
χ4044-4-444-4-400000-244-22-4-4200-20000-22200000000000000000000000000000023−2300000000
χ4144-4-444-4-400000-244-22-4-4200-20000-222000000000000000000000000000000−232300000000
χ424-44-44-44-40000044-4-4-44-440040000-4-440000000000000000000000000000000000000000
χ434-44-44-44-4000004-22-4-4-22400-200−2i32i322-20000−2i32i30000000000000000000000000000000000
χ444-44-44-44-4000004-22-4-4-22400-2002i3−2i322-200002i3−2i30000000000000000000000000000000000
χ454-44-44-44-400000-24-4224-4-200-2−2i32i30022-200−2i32i3000000000000000000000000000000000000
χ464-44-44-44-400000-24-4224-4-200-22i3−2i30022-2002i3−2i3000000000000000000000000000000000000
χ474-44-44-44-400000-2-2222-22-2001−2i32i3−2i32i3-1-1100i3−i3i3−i3003-3000000000000000000000000000000
χ484-44-44-44-400000-2-2222-22-2001−2i32i32i3−2i3-1-1100i3−i3−i3i300-33000000000000000000000000000000
χ494-44-44-44-400000-2-2222-22-20012i3−2i3−2i32i3-1-1100−i3i3i3−i300-33000000000000000000000000000000
χ504-44-44-44-400000-2-2222-22-20012i3−2i32i3−2i3-1-1100−i3i3−i3i3003-3000000000000000000000000000000
χ514-4-444-4-440000044-4-44-44-40040000-44-40000000000000000000000000000000000000000
χ524-4-444-4-44000004-22-442-2-400-200002-2200000000000000000000000000−2i32i3000000000000
χ534-4-444-4-44000004-22-442-2-400-200002-22000000000000000000000000002i3−2i3000000000000
χ544-4-444-4-4400000-24-42-2-44200-200002-220000000000000000000000000000000023−23000000
χ554-4-444-4-4400000-24-42-2-44200-200002-2200000000000000000000000000000000−2323000000
χ566666-3-3-3-3666-3-300000000-3-3000000000000000000200200022000-1-1-1-1000000000-1-1000
χ576666-3-3-3-3666-3-300000000-3-3000000000000000000-200-2000-2-2000111100000000011000
χ586666-3-3-3-36-6-63300000000-33000000000000000000200-20002-2000-1-111000000000-11000
χ596666-3-3-3-36-6-63300000000-33000000000000000000-2002000-2200011-1-10000000001-1000
χ606666-3-3-3-3-66-633000000003-3000000000000000000200-2000-22000-1-1110000000001-1000
χ616666-3-3-3-3-66-633000000003-3000000000000000000-20020002-200011-1-1000000000-11000
χ626666-3-3-3-3-6-66-3-300000000330000000000000000002002000-2-2000-1-1-1-100000000011000
χ636666-3-3-3-3-6-66-3-30000000033000000000000000000-200-2000220001111000000000-1-1000
χ6488-8-888-8-800000-4-4-4-4444400200002-2-20000000000000000000000000000000000000000
χ658-8-888-8-8800000-4-444-44-440020000-22-20000000000000000000000000000000000000000
χ661212-12-12-6-6660000000000000000000000000000000000000000000000023−2300000000000000
χ671212-12-12-6-66600000000000000000000000000000000000000000000000−232300000000000000
χ6812-1212-12-66-66000−6i36i30000000000000000000000000000000000000000000000000000000000
χ6912-1212-12-66-660006i3−6i30000000000000000000000000000000000000000000000000000000000
χ7012-12-1212-666-6000000000000000000000000000000000000000000000−2i32i30000000000000000
χ7112-12-1212-666-60000000000000000000000000000000000000000000002i3−2i30000000000000000

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