Finite Group Databasebeta

← Group #13148527

Character table — Group #13148527

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order1222366624412123366666661236666612126661212121212121224444444444412121212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ311111111111111111111111111111111111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1
χ5111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-111-11-11-1-11-11-111-1-111-1-1-1-1-1-11-11-111
χ6111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-11-11-111-1-1-11-11-1-111-1-111-1-1-1-111-11-11
χ7111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-1-11-1-11-1111-1-1111-1-1-1-1111111-1-111-1-1
χ8111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-1-1-111-1-111-111-1-1-11111-1-11111-11-1-11-1
χ911111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-111-111-11-1-11-1-1111111-1-111-1-11-1-11-1-1
χ1011111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-11-11-1-1-11-11-111-1-1-1-1-1-11111-1-1111-11-1
χ1111111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-1-11-1-1-11-11-11111111-1-111-1-111-1-1-1-111
χ1211111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-111-1111-11
χ1311111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-1111111-1-1-11-1-1-1111-1-11111-1-11111-1-1-1-1
χ1411111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-1111-1-1-11-1-11111-1-1-111-1-1-1-1-1-1111-1111-1
χ1511111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-111-111-1111-1-1-11-111-1-1-1-1-1-111-1-1-11-1111
χ1611111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-111-1-1-11-111-111-11-1-111111111-1-1-1-11-1-11
χ1722222222222222-1-1-1222-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-120000222000000000000-1-1-1-1-10000-1
χ1822222222222222-1-1-1222-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-20000-2-2-20000000000001111100001
χ192222222222222-1222-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-10002200000220000-1-1-1-10000000-1-10
χ202222222222222-1222-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1000-2-200000-2-2000011110000000110
χ21222222222-2-2-2-22-1-1-1222-12-2-1-1-1-1-1-1-2-22-1-111-21111200002-2-20000000000001111-10000-1
χ22222222222-2-2-2-22-1-1-1222-12-2-1-1-1-1-1-1-2-22-1-111-21111-20000-222000000000000-1-1-1-1100001
χ23222222222-2-2-2-2-1222-1-1-122-2-122-1-1-111-1-1-1-2-2111110002-2000002-20000-1-11100000001-10
χ24222222222-2-2-2-2-1222-1-1-122-2-122-1-1-111-1-1-1-2-211111000-2200000-22000011-1-10000000-110
χ2522222222-22-2222-1-1-1222-1-2-2-111-1-1-1-2-2-211-112-1-11120000-22-2000000000000-1-111-100001
χ2622222222-22-2222-1-1-1222-1-2-2-111-1-1-1-2-2-211-112-1-111-200002-2200000000000011-1-110000-1
χ2722222222-22-222-1222-1-1-12-2-2-1-2-2-1-1-1111112-2-1-1-1110002200000-2-20000-1-1110000000-110
χ2822222222-22-222-1222-1-1-12-2-2-1-2-2-1-1-1111112-2-1-1-111000-2-20000022000011-1-100000001-10
χ2922222222-2-22-2-22-1-1-1222-1-22-111-1-1-122-2111-1-211-1-120000-2-2200000000000011-1-1-100001
χ3022222222-2-22-2-22-1-1-1222-1-22-111-1-1-122-2111-1-211-1-1-2000022-2000000000000-1-11110000-1
χ3122222222-2-22-2-2-1222-1-1-12-22-1-2-2-1-1-1-1-1111-22111-1-10002-200000-220000-1-1-1-10000000110
χ3222222222-2-22-2-2-1222-1-1-12-22-1-2-2-1-1-1-1-1111-22111-1-1000-22000002-2000011110000000-1-10
χ334444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2-211-2-2-21111000000000000000000000000000000
χ34444444444-4-4-4-4-2-2-2-2-2-2-2-24-41-2-211122-211222-1-1-1-1000000000000000000000000000000
χ3544444444-44-444-2-2-2-2-2-2-2-2-4-4122111222-1-1-22-211-1-1000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-2-44122111-2-22-1-12-22-1-111000000000000000000000000000000
χ3744-4-444-4-400000444-44-4-4-400400-44-4000000000000000000000000000000000000000000
χ3844-4-444-4-4000004-2-224-4-4200-2002-22000000000000000000000000000000000023−23000000
χ3944-4-444-4-4000004-2-224-4-4200-2002-220000000000000000000000000000000000−2323000000
χ4044-4-444-4-400000-244-4-222-400-2002-2200000000000000000000000000000023−230000000000
χ4144-4-444-4-400000-244-4-222-400-2002-22000000000000000000000000000000−23230000000000
χ424-44-44-44-40000044-44-44-4-400400-4-44000000000000000000000000000000000000000000
χ434-44-44-44-4000004-22-2-44-4200-20022-20000000000000000000000000000000023−2300000000
χ444-44-44-44-4000004-22-2-44-4200-20022-200000000000000000000000000000000−232300000000
χ454-44-44-44-400000-24-442-22-400-20022-2000000000000000000000000000023−23000000000000
χ464-44-44-44-400000-24-442-22-400-20022-20000000000000000000000000000−2323000000000000
χ474-4-444-4-440000044-4-4-4-444004004-4-4000000000000000000000000000000000000000000
χ484-4-444-4-44000004-222-4-44-200-2−2i32i3-222000−2i32i30000000000000000000000000000000000000
χ494-4-444-4-44000004-222-4-44-200-22i3−2i3-2220002i3−2i30000000000000000000000000000000000000
χ504-4-444-4-4400000-24-4-422-2400-200-22223−230000000023−23000000000000000000000000000000
χ514-4-444-4-4400000-24-4-422-2400-200-222−232300000000−2323000000000000000000000000000000
χ524-4-444-4-4400000-2-22222-2-2001−2i32i31-1-123−230i3−i30003i−3i−33000000000000000000000000000000
χ534-4-444-4-4400000-2-22222-2-2001−2i32i31-1-1−23230i3−i3000−3i3i3−3000000000000000000000000000000
χ544-4-444-4-4400000-2-22222-2-20012i3−2i31-1-123−230−i3i3000−3i3i−33000000000000000000000000000000
χ554-4-444-4-4400000-2-22222-2-20012i3−2i31-1-1−23230−i3i30003i−3i3−3000000000000000000000000000000
χ566666-3-3-3-3666-3-300000000-3-3000000000000000000022000002200-1-1-1-1000000000-1-1000
χ576666-3-3-3-3666-3-300000000-3-30000000000000000000-2-200000-2-200111100000000011000
χ586666-3-3-3-36-6-63300000000-3300000000000000000002-2000002-200-1-1110000000001-1000
χ596666-3-3-3-36-6-63300000000-330000000000000000000-2200000-220011-1-1000000000-11000
χ606666-3-3-3-3-66-6-3-3000000003300000000000000000002-200000-2200-1-1-1-100000000011000
χ616666-3-3-3-3-66-6-3-300000000330000000000000000000-22000002-2001111000000000-1-1000
χ626666-3-3-3-3-6-6633000000003-300000000000000000002200000-2-200-1-111000000000-11000
χ636666-3-3-3-3-6-6633000000003-30000000000000000000-2-200000220011-1-10000000001-1000
χ6488-8-888-8-800000-4-4-44-444400200-22-2000000000000000000000000000000000000000000
χ658-88-88-88-800000-4-44-44-44400200-2-22000000000000000000000000000000000000000000
χ661212-12-12-6-66600000000000000000000000000000000000000000000023−230000000000000000
χ671212-12-12-6-666000000000000000000000000000000000000000000000−23230000000000000000
χ6812-1212-12-66-660000000000000000000000000000000000000000000000023−2300000000000000
χ6912-1212-12-66-6600000000000000000000000000000000000000000000000−232300000000000000
χ7012-12-1212-666-600063−630000000000000000000000000000000000000000000000000000000000
χ7112-12-1212-666-6000−63630000000000000000000000000000000000000000000000000000000000

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