Finite Group Databasebeta

← Group #13151493

Character table — Group #13151493

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order122236662246633666666612366666121266666661212122222444444446666666612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111-1-11111111111-1-11-1-1111-1-11-1111-1-1-1-1-1111-11-1-1-11-11-1111111-1-111-1-1-1-11-11-1
χ6111111111-1-11111111111-1-11-1-1111-1-11-1111-1-1-1-1-111-11-11-1-1-11-111111-1-111-1-111-1-1-11-11
χ7111111111-1-11111111111-1-11-1-1111-1-11-1111-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-111-1-1-1-111111-1-11
χ8111111111-1-11111111111-1-11-1-1111-1-11-1111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1-11111-1-111-111-1
χ911111111-11-1-1-1111111111-1111111-1-1-11-1-1-111-1-1-11-1111-11-1-1-1-1111-1-11111-1-1111-1-1-11-1
χ1011111111-11-1-1-1111111111-1111111-1-1-11-1-1-111-1-1-11-1-1-1-111-1111-111-1-1-1-1-1-111-1-11-111-11
χ1111111111-11-1-1-1111111111-1111111-1-1-11-1-1-111-1-1-1-1111-11-11-1-11-1-1-111111111-1-1-11-1-1-11
χ1211111111-11-1-1-1111111111-1111111-1-1-11-1-1-111-1-1-1-11-1-11-1-1111-11-1-111-1-1-1-1-1-111-11111-1
χ1311111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-11111-11-111-11-11-1-111-1-111-1-1-1-1-1-1-11-1111
χ1411111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-11111-1-11-1-1-111-11111-1-1-1-1111111-111-1-1-1
χ1511111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-1111-111-1-1-11-1-1111-1-11111-1-111111-1-11-1-1
χ1611111111-1-11-1-111111111-111-1-111111-1-1-1-1-1-1-1111-11-11111-11-1-1-1-1-111-1-111-1-1-1-11-11-111
χ1722222222222222-1-122-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000022000000-1-1-1-1000000-1-100
χ1822222222222222-1-122-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-20000-2-200000011110000001100
χ192222222222222-122-1-122-122-122-1-1-1-1-1-1-12-1-1-1-12-1-100002200002200000000-1-1-1-10000-1-1
χ202222222222222-122-1-122-122-122-1-1-1-1-1-1-12-1-1-1-12-1-10000-2-20000-2-2000000001111000011
χ21222222222-2-2222-1-122-1-12-2-2-111-1-1-1-2-22-2-1-1-111111002-200002-2000000-1-111000000-1100
χ22222222222-2-2222-1-122-1-12-2-2-111-1-1-1-2-22-2-1-1-11111100-220000-2200000011-1-10000001-100
χ23222222222-2-222-122-1-122-1-2-2-1-2-2-1-1-111-112-1-111-21100002-200002-200000000-1-1110000-11
χ24222222222-2-222-122-1-122-1-2-2-1-2-2-1-1-111-112-1-111-2110000-220000-220000000011-1-100001-1
χ2522222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-2-22111-1-111100220000-2-2000000-1-1-1-10000001100
χ2622222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-2-22111-1-111100-2-20000220000001111000000-1-100
χ2722222222-22-2-2-2-122-1-122-12-2-122-1-1-1111-1-211-1-1-21100002-20000-220000000011-1-10000-11
χ2822222222-22-2-2-2-122-1-122-12-2-122-1-1-1111-1-211-1-1-2110000-2200002-200000000-1-11100001-1
χ2922222222-2-22-2-22-1-122-1-12-22-111-1-1-122-2-211111-1-1-1002-20000-22000000-1-1110000001-100
χ3022222222-2-22-2-22-1-122-1-12-22-111-1-1-122-2-211111-1-1-100-2200002-200000011-1-1000000-1100
χ3122222222-2-22-2-2-122-1-122-1-22-1-2-2-1-1-1-1-111-211112-1-10000220000-2-20000000011110000-1-1
χ3222222222-2-22-2-2-122-1-122-1-22-1-2-2-1-1-1-1-111-211112-1-10000-2-200002200000000-1-1-1-1000011
χ334444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2-2-2-21111-211000000000000000000000000000000
χ34444444444-4-444-2-2-2-2-2-2-2-2-4-412211122-22-211-1-12-1-1000000000000000000000000000000
χ3544444444-44-4-4-4-2-2-2-2-2-2-2-24-41-2-2111222-22-1-1112-1-1000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-2-44122111-2-2222-1-1-1-1-211000000000000000000000000000000
χ3744-4-444-4-400000444-4-4-4-4400400-4-44000000000000000000000000000000000000000000
χ3844-4-444-4-4000004-2-2-4-422400-2−2i32i322-20000000−2i32i3000000000000000000000000000000000
χ3944-4-444-4-4000004-2-2-4-422400-22i3−2i322-200000002i3−2i3000000000000000000000000000000000
χ4044-4-444-4-400000-24422-4-4-200-20022-2−2i32i300000000−2i32i3000000000000000000000000000000
χ4144-4-444-4-400000-24422-4-4-200-20022-22i3−2i3000000002i3−2i3000000000000000000000000000000
χ4244-4-444-4-400000-2-2-22222-2001−2i32i3-1-11−2i32i30003-3i3−i30i3−i3000000000000000000000000000000
χ4344-4-444-4-400000-2-2-22222-2001−2i32i3-1-112i3−2i3000-33i3−i30−i3i3000000000000000000000000000000
χ4444-4-444-4-400000-2-2-22222-20012i3−2i3-1-11−2i32i3000-33−i3i30i3−i3000000000000000000000000000000
χ4544-4-444-4-400000-2-2-22222-20012i3−2i3-1-112i3−2i30003-3−i3i30−i3i3000000000000000000000000000000
χ464-44-44-44-40000044-44-44-4-4004004-4-4000000000000000000000000000000000000000000
χ474-44-44-44-4000004-224-4-22-400-200-222000000000000000000000000000000−2i32i30000000000
χ484-44-44-44-4000004-224-4-22-400-200-2220000000000000000000000000000002i3−2i30000000000
χ494-44-44-44-400000-24-4-224-4200-200-222000000000000000000000000000000000023−23000000
χ504-44-44-44-400000-24-4-224-4200-200-2220000000000000000000000000000000000−2323000000
χ514-4-444-4-440000044-4-44-44-400400-44-4000000000000000000000000000000000000000000
χ524-4-444-4-44000004-22-442-2-400-2002-220000000000000000000000000000−2i32i3000000000000
χ534-4-444-4-44000004-22-442-2-400-2002-2200000000000000000000000000002i3−2i3000000000000
χ544-4-444-4-4400000-24-42-2-44200-2002-220000000000000000000000000000000023−2300000000
χ554-4-444-4-4400000-24-42-2-44200-2002-2200000000000000000000000000000000−232300000000
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
χ586666-3-3-3-36-6-6-3-30000000033000000000000000000220000-2-20000-1-1-1-100000000110000
χ596666-3-3-3-36-6-6-3-30000000033000000000000000000-2-20000220000111100000000-1-10000
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
χ626666-3-3-3-3-6-6633000000003-30000000000000000002-20000-220000-1-111000000001-10000
χ636666-3-3-3-3-6-6633000000003-3000000000000000000-2200002-2000011-1-100000000-110000
χ648-88-88-88-800000-4-44-44-444002002-2-2000000000000000000000000000000000000000000
χ658-8-888-8-8800000-4-444-44-4400200-22-2000000000000000000000000000000000000000000
χ661212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000
χ671212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000
χ6812-1212-12-66-66000000000000000000000000000000000000000000000−2i32i30000000000000000
χ6912-1212-12-66-660000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7012-12-1212-666-600000000000000000000000000000000000000000000000−2i32i300000000000000
χ7112-12-1212-666-6000000000000000000000000000000000000000000000002i3−2i300000000000000

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