Finite Group Databasebeta

← Group #13148729

Character table — Group #13148729

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order1222366624412123366666661236666612126661212121212121222222444444466661212121212121212666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1-1
χ311111111111111111111111111111111111111111-1-111-1-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1-1-11
χ5111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-11-11-111-11-11-1-11111-1-1-1-1-1-1-1-1-11-1111
χ6111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-11-1-11-11-1-11-11111-1-1-1-1111111-1-111-1-1
χ7111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-111111-1-1-11-1
χ8111111111-1-1-1-1111111111-1111111-1-1111-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1-11111-1-1-1-1111-1-11
χ911111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-11-111-1-11-1-111-1111111-1-111-1-1-1-11-1-11
χ1011111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-11-1-1-11-1111-1-1111-1-11111-1-111-11-1-11-1
χ1111111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-1-111111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1
χ1211111111-11-11111111111-1-11-1-1111-1-1-1-1-11-1111-1-1-11-1-1-11-11111-1-1-1-1-1-1-11111-1-11-1-1111
χ1311111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-111111-1-1-1-1-111-111111-1-111-1-1111-1-1-1-11
χ1411111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-11111-111-1-11-1-11-111-1-1-1-1-1-111-1-1111-11-1
χ1511111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-111-1-11-1111-11-11-1-1-111111111-1-1-11-11-1-1
χ1611111111-1-11-1-111111111-111-1-111111-1-1-1-11-1-1-111-1-1-11-1111-11-11-1-1-1-111-1-1-1-111-1-11111
χ1722222222222222-1-122-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-100220002200000-1-100-1-1000000-10-10
χ1822222222222222-1-122-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-100-2-2000-2-2000001100110000001010
χ192222222222222-122-1-122-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-100002000022200000000-1-1-1-10-1000-1
χ202222222222222-122-1-122-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-10000-20000-2-2-2000000001111010001
χ21222222222-2-2-2-22-1-122-1-122-2-122-1-1-111-1-1-1-2-211111002-20002-200000-1-1001100000010-10
χ22222222222-2-2-2-22-1-122-1-122-2-122-1-1-111-1-1-1-2-21111100-22000-22000001100-1-1000000-1010
χ23222222222-2-2-2-2-122-1-122-12-2-1-1-1-1-1-1-2-22-1-111-211110000200002-2-20000000011110-1000-1
χ24222222222-2-2-2-2-122-1-122-12-2-1-1-1-1-1-1-2-22-1-111-211110000-20000-22200000000-1-1-1-1010001
χ2522222222-22-2222-1-122-1-12-2-2-1-2-2-1-1-1111112-2-1-1-1110022000-2-200000-1-10011000000-1010
χ2622222222-22-2222-1-122-1-12-2-2-1-2-2-1-1-1111112-2-1-1-11100-2-200022000001100-1-100000010-10
χ2722222222-22-222-122-1-122-1-2-2-111-1-1-1-2-2-211-112-1-111000020000-2-220000000011-1-10-10001
χ2822222222-22-222-122-1-122-1-2-2-111-1-1-1-2-2-211-112-1-1110000-2000022-200000000-1-11101000-1
χ2922222222-2-22-2-22-1-122-1-12-22-1-2-2-1-1-1-1-1111-22111-1-1002-2000-2200000-1-100-1-10000001010
χ3022222222-2-22-2-22-1-122-1-12-22-1-2-2-1-1-1-1-1111-22111-1-100-220002-200000110011000000-10-10
χ3122222222-2-22-2-2-122-1-122-1-22-111-1-1-122-2111-1-211-1-1000020000-22-200000000-1-1110-10001
χ3222222222-2-22-2-2-122-1-122-1-22-111-1-1-122-2111-1-211-1-10000-200002-220000000011-1-101000-1
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
χ3744-4-44-44-40000044-44-44-4-400400-44-4000000000000000000000000000000000000000000
χ3844-4-44-44-4000004-224-4-22-400-2002-2200000000000000000000000000−2i32i300000000000000
χ3944-4-44-44-4000004-224-4-22-400-2002-22000000000000000000000000002i3−2i300000000000000
χ4044-4-44-44-400000-24-4-224-4200-2002-220000000000000000000000000000000023−2300000000
χ4144-4-44-44-400000-24-4-224-4200-2002-2200000000000000000000000000000000−232300000000
χ424-44-44-4-440000044-4-44-44-400400-4-44000000000000000000000000000000000000000000
χ434-44-44-4-44000004-22-442-2-400-20022-2000000000000000000000000000000−2i32i30000000000
χ444-44-44-4-44000004-22-442-2-400-20022-20000000000000000000000000000002i3−2i30000000000
χ454-44-44-4-4400000-24-42-2-44200-20022-2000000000000000000000000000000000023−23000000
χ464-44-44-4-4400000-24-42-2-44200-20022-20000000000000000000000000000000000−2323000000
χ474-4-4444-4-400000444-4-4-4-44004004-4-4000000000000000000000000000000000000000000
χ484-4-4444-4-4000004-2-2-4-422400-200-22223−230000000023−23000000000000000000000000000000
χ494-4-4444-4-4000004-2-2-4-422400-200-222−232300000000−2323000000000000000000000000000000
χ504-4-4444-4-400000-24422-4-4-200-2−2i32i3-222000−2i32i30000000000000000000000000000000000000
χ514-4-4444-4-400000-24422-4-4-200-22i3−2i3-2220002i3−2i30000000000000000000000000000000000000
χ524-4-4444-4-400000-2-2-22222-2001−2i32i31-1-123−230i3−i30003i−3i−33000000000000000000000000000000
χ534-4-4444-4-400000-2-2-22222-2001−2i32i31-1-1−23230i3−i3000−3i3i3−3000000000000000000000000000000
χ544-4-4444-4-400000-2-2-22222-20012i3−2i31-1-123−230−i3i3000−3i3i−33000000000000000000000000000000
χ554-4-4444-4-400000-2-2-22222-20012i3−2i31-1-1−23230−i3i30003i−3i3−3000000000000000000000000000000
χ566666-3-3-3-3666-3-300000000-3-3000000000000000000220002200000-1-100-1-1000000-100-100
χ576666-3-3-3-3666-3-300000000-3-3000000000000000000-2-2000-2-200000110011000000100100
χ586666-3-3-3-36-6-63300000000-330000000000000000002-20002-200000-1-10011000000100-100
χ596666-3-3-3-36-6-63300000000-33000000000000000000-22000-22000001100-1-1000000-100100
χ606666-3-3-3-3-66-6-3-300000000330000000000000000002-2000-2200000-1-100-1-1000000100100
χ616666-3-3-3-3-66-6-3-30000000033000000000000000000-220002-200000110011000000-100-100
χ626666-3-3-3-3-6-6633000000003-300000000000000000022000-2-200000-1-10011000000-100100
χ636666-3-3-3-3-6-6633000000003-3000000000000000000-2-200022000001100-1-1000000100-100
χ6488-8-88-88-800000-4-44-44-44400200-22-2000000000000000000000000000000000000000000
χ658-88-88-8-8800000-4-444-44-4400200-2-22000000000000000000000000000000000000000000
χ661212-12-12-66-660000000000000000000000000000000000000000000000000−2i32i3000000000000
χ671212-12-12-66-6600000000000000000000000000000000000000000000000002i3−2i3000000000000
χ6812-1212-12-666-6000000000000000000000000000000000000000000000−2i32i30000000000000000
χ6912-1212-12-666-60000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7012-12-1212-6-66600063−630000000000000000000000000000000000000000000000000000000000
χ7112-12-1212-6-666000−63630000000000000000000000000000000000000000000000000000000000

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