Finite Group Databasebeta

← Group #13148730

Character table — Group #13148730

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order1222366624412123366666661236666612126661212121212121222222444444466661212121212121212666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ311111111111111111111111111111111111111111-1-1-11-111-1-1-11-1-1-1-1-11111-1-1-1-11-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-11111-11-1-1-11
χ5111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-111-11-11-11-1-1-111111-1-11111-1-11-1-1-1-11
χ6111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-111-1-11-11-11-11-1111111-1-1-1-111-11-11-1-1
χ7111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111111-11-1
χ8111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-1-1-11-1-1-111-1111-1-1-1-111-1-111-1-1-1-11111
χ911111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-11-1111-11-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1
χ1011111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-11-11-1-11-111-11-111-1-11111-1-111-1-11-1-11
χ1111111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-1-11-11-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1111
χ1211111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-1-11-1-111-1-1-1111-1-111111111-1-1-11-1-11-1
χ1311111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-1111-1-11-1-1-1-1111111-1-111-1-111111-1-1-11-1
χ1411111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-1111-1-1-11111-11-1-111-1-1-1-111-1-1-1-1-11-1111
χ1511111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-111-11111-1-11-1-11-1-1-11111-1-1-1-1-1-1111-1-11
χ1611111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-111-111-1-111-11-1-11-1-111-1-1111111-1-111-1-1
χ1722222222222222-12-1-12-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1222000000200-1-1-1-10000000000-10-10
χ1822222222222222-12-1-12-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-2-2-2000000-200111100000000001010
χ192222222222222-12-122-12-122-122-1-1-1-1-1-1-1-122-1-1-1-1-100002002200200000000-1-1-1-10-1000-1
χ202222222222222-12-122-12-122-122-1-1-1-1-1-1-1-122-1-1-1-1-10000-200-2-200-2000000001111010001
χ21222222222-2-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-22-1-111-2111122-2000000-200-1-1-1-100000000001010
χ22222222222-2-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-22-1-111-21111-2-2200000020011110000000000-10-10
χ23222222222-2-2-2-2-12-122-12-12-2-122-1-1-111-1-1-1-2-2111110000200-2200-20000000011-1-10-10001
χ24222222222-2-2-2-2-12-122-12-12-2-122-1-1-111-1-1-1-2-2111110000-2002-200200000000-1-11101000-1
χ2522222222-22-2222-12-1-12-12-2-2-111-1-1-1-2-2-211-112-1-1112-22000000-200-1-1110000000000-1010
χ2622222222-22-2222-12-1-12-12-2-2-111-1-1-1-2-2-211-112-1-111-22-200000020011-1-1000000000010-10
χ2722222222-22-222-12-122-12-1-2-2-1-2-2-1-1-1111112-2-1-1-1110000200-2-200200000000-1-1110-10001
χ2822222222-22-222-12-122-12-1-2-2-1-2-2-1-1-1111112-2-1-1-1110000-2002200-20000000011-1-101000-1
χ2922222222-2-22-2-22-12-1-12-12-22-111-1-1-122-2111-1-211-1-12-2-2000000200-1-111000000000010-10
χ3022222222-2-22-2-22-12-1-12-12-22-111-1-1-122-2111-1-211-1-1-222000000-20011-1-10000000000-1010
χ3122222222-2-22-2-2-12-122-12-1-22-1-2-2-1-1-1-1-1111-22111-1-100002002-200-20000000011110-1000-1
χ3222222222-2-22-2-2-12-122-12-1-22-1-2-2-1-1-1-1-1111-22111-1-10000-200-2200200000000-1-1-1-1010001
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
χ3744-4-444-4-40000044-44-4-4-4400400-44-4000000000000000000000000000000000000000000
χ3844-4-444-4-4000004-2-4-22-42400-2002-22000000000000000000000000−2i32i30000000000000000
χ3944-4-444-4-4000004-2-4-22-42400-2002-220000000000000000000000002i3−2i30000000000000000
χ4044-4-444-4-400000-2424-42-4-200-2002-220000000000000000000000000000000000−2i32i3000000
χ4144-4-444-4-400000-2424-42-4-200-2002-2200000000000000000000000000000000002i3−2i3000000
χ424-44-44-4-4400000444-44-4-4-400400-4-44000000000000000000000000000000000000000000
χ434-44-44-4-44000004-242-2-42-400-20022-200000000000000000000000000−2i32i300000000000000
χ444-44-44-4-44000004-242-2-42-400-20022-2000000000000000000000000002i3−2i300000000000000
χ454-44-44-4-4400000-24-2-442-4200-20022-20000000000000000000000000000000023−2300000000
χ464-44-44-4-4400000-24-2-442-4200-20022-200000000000000000000000000000000−232300000000
χ474-4-444-44-40000044-4-4-444-4004004-4-4000000000000000000000000000000000000000000
χ484-4-444-44-4000004-2-4224-2-400-2−2i32i3-222000−2i32i30000000000000000000000000000000000000
χ494-4-444-44-4000004-2-4224-2-400-22i3−2i3-2220002i3−2i30000000000000000000000000000000000000
χ504-4-444-44-400000-242-4-4-24200-200-22223−230000000023−23000000000000000000000000000000
χ514-4-444-44-400000-242-4-4-24200-200-222−232300000000−2323000000000000000000000000000000
χ524-4-444-44-400000-2-2222-2-22001−2i32i31-1-123−230i3−i30003i−3i−33000000000000000000000000000000
χ534-4-444-44-400000-2-2222-2-22001−2i32i31-1-1−23230i3−i3000−3i3i3−3000000000000000000000000000000
χ544-4-444-44-400000-2-2222-2-220012i3−2i31-1-123−230−i3i3000−3i3i−33000000000000000000000000000000
χ554-4-444-44-400000-2-2222-2-220012i3−2i31-1-1−23230−i3i30003i−3i3−3000000000000000000000000000000
χ566666-3-3-3-3666-3-300000000-3-30000000000000000000002022000200000-1-1-1-10000-100-100
χ576666-3-3-3-3666-3-300000000-3-3000000000000000000000-20-2-2000-20000011110000100100
χ586666-3-3-3-36-6-63300000000-33000000000000000000000202-2000-20000011-1-10000-100100
χ596666-3-3-3-36-6-63300000000-33000000000000000000000-20-22000200000-1-1110000100-100
χ606666-3-3-3-3-66-6-3-3000000003300000000000000000000020-22000-20000011110000-100-100
χ616666-3-3-3-3-66-6-3-30000000033000000000000000000000-202-2000200000-1-1-1-10000100100
χ626666-3-3-3-3-6-6633000000003-300000000000000000000020-2-2000200000-1-1110000-100100
χ636666-3-3-3-3-6-6633000000003-3000000000000000000000-2022000-20000011-1-10000100-100
χ6488-8-888-8-800000-4-44-4444-400200-22-2000000000000000000000000000000000000000000
χ658-88-88-8-8800000-4-4-44-444400200-2-22000000000000000000000000000000000000000000
χ661212-12-12-6-666000000000000000000000000000000000000000000000000023−23000000000000
χ671212-12-12-6-6660000000000000000000000000000000000000000000000000−2323000000000000
χ6812-1212-12-666-6000000000000000000000000000000000000000000000000000−2i32i30000000000
χ6912-1212-12-666-60000000000000000000000000000000000000000000000000002i3−2i30000000000
χ7012-12-1212-66-6600063−630000000000000000000000000000000000000000000000000000000000
χ7112-12-1212-66-66000−63630000000000000000000000000000000000000000000000000000000000

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