Finite Group Databasebeta

← Group #13151323

Character table — Group #13151323

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order12223666224663366666661236666612126666666121212444444444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1
χ5111111111-1-11111111111-1-11-1-1111-1-111-111-1-1-1-1-1111-11-1-1-11-11-1-1-1-1-111-1-111-1-1111-11-1
χ6111111111-1-11111111111-1-11-1-1111-1-111-111-1-1-1-1-111-11-11-1-1-11-11-1-1-1-1-1-111-1-11111-11-11
χ7111111111-1-11111111111-1-11-1-1111-1-111-111-1-1-1-1-1-1-11-1-11111-1-11111111-1-1-1-111-1-1-111-1
χ8111111111-1-11111111111-1-11-1-1111-1-111-111-1-1-1-1-1-1-1-111-111-111-11111-1-11111-1-1-1-11-1-11
χ911111111-11-1-1-1111111111-1111111-1-1-1-11-1-111-1-1-11-11-1111-1-11-1-111-1-111-1-1-1-1-1-11-111-11
χ1011111111-11-1-1-1111111111-1111111-1-1-1-11-1-111-1-1-11-1-11-1-11-11-11111-1-1-1-11111111-1-1-11-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1111-1-11111-1-11111-11-1-1-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-11-1-111-1-1-1-11-1111-111-1-1-1-1-111-1-111-1-1-1-1-11111-1
χ1311111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-11111-1111-1-11-1-1-11-1-1111111-1-1111-11-1-1-1
χ1411111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-111-1-1-1-111-1-11-1-1111
χ1511111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-1111-1111-111-1-1-11-111-1-1111111-1-1-11-11-1-1
χ1611111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-1111-11-1-11-11-111-1111-1-1-1-1-1-1-1-111-111-111
χ1722222222222222-122-1-12-122-122-1-1-1-1-12-1-1-1-1-1-12-1-10022000022000000-1-1-1-100000000-1-1
χ1822222222222222-122-1-12-122-122-1-1-1-1-12-1-1-1-1-1-12-1-100-2-20000-2-200000011110000000011
χ192222222222222-12-1-122-1222-1-1-1-1-1-122-122-1-1-1-1-1-1-100002200002200000000-1-1-1-100-1-100
χ202222222222222-12-1-122-1222-1-1-1-1-1-122-122-1-1-1-1-1-1-10000-2-20000-2-2000000001111001100
χ21222222222-2-2222-122-1-12-1-2-2-1-2-2-1-1-1112-11-1-111-211002-200002-2000000-1-11100000000-11
χ22222222222-2-2222-122-1-12-1-2-2-1-2-2-1-1-1112-11-1-111-21100-220000-2200000011-1-1000000001-1
χ23222222222-2-222-12-1-122-12-2-2-111-1-1-1-2-2-12-2-1-11111100002-200002-200000000-1-11100-1100
χ24222222222-2-222-12-1-122-12-2-2-111-1-1-1-2-2-12-2-1-1111110000-220000-220000000011-1-1001-100
χ2522222222-22-2-2-22-122-1-12-12-2-122-1-1-111-21-111-1-1-211002-20000-22000000-1-111000000001-1
χ2622222222-22-2-2-22-122-1-12-12-2-122-1-1-111-21-111-1-1-21100-2200002-200000011-1-100000000-11
χ2722222222-22-2-2-2-12-1-122-122-2-1-1-1-1-1-1-2-21-2211-1-11110000220000-2-200000000111100-1-100
χ2822222222-22-2-2-2-12-1-122-122-2-1-1-1-1-1-1-2-21-2211-1-11110000-2-200002200000000-1-1-1-1001100
χ2922222222-2-22-2-22-122-1-12-1-22-1-2-2-1-1-1-1-1-21111112-1-100220000-2-2000000-1-1-1-10000000011
χ3022222222-2-22-2-22-122-1-12-1-22-1-2-2-1-1-1-1-1-21111112-1-100-2-2000022000000111100000000-1-1
χ3122222222-2-22-2-2-12-1-122-12-22-111-1-1-1221-2-21111-1-1-100002-20000-220000000011-1-100-1100
χ3222222222-2-22-2-2-12-1-122-12-22-111-1-1-1221-2-21111-1-1-10000-2200002-200000000-1-111001-100
χ334444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2-2-2-21111-211000000000000000000000000000000
χ34444444444-4-444-2-2-2-2-2-2-2-2-4-412211122-2-2211-1-12-1-1000000000000000000000000000000
χ3544444444-44-4-4-4-2-2-2-2-2-2-2-24-41-2-21112222-2-1-1112-1-1000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-2-44122111-2-2222-1-1-1-1-211000000000000000000000000000000
χ3744-4-444-4-400000444-44-4-4-4004004-4-4000000000000000000000000000000000000000000
χ3844-4-444-4-4000004-24-4-22-4200-200-222000000000000000000000000000023−23000000000000
χ3944-4-444-4-4000004-24-4-22-4200-200-2220000000000000000000000000000−2323000000000000
χ4044-4-444-4-400000-24-224-42-400-200-222000000000000000000000000000000000023−23000000
χ4144-4-444-4-400000-24-224-42-400-200-2220000000000000000000000000000000000−2323000000
χ424-44-44-44-40000044-44-44-4-400400-44-4000000000000000000000000000000000000000000
χ434-44-44-44-4000004-2-442-2-4200-2002-2200000000000000000000000000000023−230000000000
χ444-44-44-44-4000004-2-442-2-4200-2002-22000000000000000000000000000000−23230000000000
χ454-44-44-44-400000-242-2-442-400-2002-220000000000000000000000000000000023−2300000000
χ464-44-44-44-400000-242-2-442-400-2002-2200000000000000000000000000000000−232300000000
χ474-4-444-4-440000044-4-4-4-44400400-4-44000000000000000000000000000000000000000000
χ484-4-444-4-44000004-2-4-4224-200-20022-2−2i32i300000000−2i32i3000000000000000000000000000000
χ494-4-444-4-44000004-2-4-4224-200-20022-22i3−2i3000000002i3−2i3000000000000000000000000000000
χ504-4-444-4-4400000-2422-4-4-2400-2−2i32i322-20000000−2i32i3000000000000000000000000000000000
χ514-4-444-4-4400000-2422-4-4-2400-22i3−2i322-200000002i3−2i3000000000000000000000000000000000
χ524-4-444-4-4400000-2-22222-2-2001−2i32i3-1-11−2i32i30003-3i3−i30i3−i3000000000000000000000000000000
χ534-4-444-4-4400000-2-22222-2-2001−2i32i3-1-112i3−2i3000-33i3−i30−i3i3000000000000000000000000000000
χ544-4-444-4-4400000-2-22222-2-20012i3−2i3-1-11−2i32i3000-33−i3i30i3−i3000000000000000000000000000000
χ554-4-444-4-4400000-2-22222-2-20012i3−2i3-1-112i3−2i30003-3−i3i30−i3i3000000000000000000000000000000
χ566666-3-3-3-3666-3-300000000-3-3000000000000000000220000220000-1-1-1-100000000-1-10000
χ576666-3-3-3-3666-3-300000000-3-3000000000000000000-2-20000-2-20000111100000000110000
χ586666-3-3-3-36-6-6-3-30000000033000000000000000000220000-2-20000111100000000-1-10000
χ596666-3-3-3-36-6-6-3-30000000033000000000000000000-2-20000220000-1-1-1-100000000110000
χ606666-3-3-3-3-66-63300000000-330000000000000000002-200002-20000-1-11100000000-110000
χ616666-3-3-3-3-66-63300000000-33000000000000000000-220000-22000011-1-1000000001-10000
χ626666-3-3-3-3-6-6633000000003-30000000000000000002-20000-22000011-1-100000000-110000
χ636666-3-3-3-3-6-6633000000003-3000000000000000000-2200002-20000-1-111000000001-10000
χ6488-8-888-8-800000-4-4-44-4444002002-2-2000000000000000000000000000000000000000000
χ658-88-88-88-800000-4-44-44-44400200-22-2000000000000000000000000000000000000000000
χ661212-12-12-6-6660000000000000000000000000000000000000000000000023−2300000000000000
χ671212-12-12-6-66600000000000000000000000000000000000000000000000−232300000000000000
χ6812-1212-12-66-6600000000000000000000000000000000000000000000023−230000000000000000
χ6912-1212-12-66-66000000000000000000000000000000000000000000000−23230000000000000000
χ7012-12-1212-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000
χ7112-12-1212-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000

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