Finite Group Databasebeta

← Group #13148573

Character table — Group #13148573

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order122236662441212336666666123666661212222222224444666121212121212122224446666666612121212666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11-11-1
χ31111111111111111111111111111111-1-1-1-111-1-111-1-11111111111-11-1-11-111-1-1-1-1-1-111-1-11-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-11-1-11-1-111-1-1-1-1-1-111-11-1-1-11
χ5111111111-1-1-1-1111111111-1111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-11-11-1-1
χ6111111111-1-1-1-1111111111-1111111-1-11111-1-11111-1-1111-1-1-1-1-1-1-1-11-1-1-11-1-111111111-1-11-1-1-1-11
χ7111111111-1-1-1-1111111111-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-1
χ911111111-11-11111111111-1-11-1-1111-1-111-1-1111111-1-1-1-1-11-1111-1-11-11-1-1-1111111-1-111-1-1-111-1-1-1
χ1011111111-11-11111111111-1-11-1-1111-1-111-1-1-1-1-1-1-1-111-1-1-11-1111-1-111-1-111-1-1-1-111-1-1-1-1111-111-11
χ1111111111-11-11111111111-1-11-1-1111-1-1-1-11111-1-11111-1-1-11-1111-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-111
χ1211111111-11-11111111111-1-11-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-1111-1-1-11111-1-1-111-1-111-1-1-1-111-111-1
χ1311111111-1-11-1-111111111-111-1-11111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1111-1111-1-111-1-1-1-1-1-111-1-111
χ1411111111-1-11-1-111111111-111-1-11111111-1-1-1-1111111-1-1-1-11-1-1-111-1-1-111-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-11-1-111111111-111-1-111111-1-1111111-1-111-1-1-1-11-1-1-11111-1-1-1-11111-1-111-1-1111-11-1-1-1
χ1611111111-1-11-1-111111111-111-1-111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1111-11
χ1722222222222222-12-1-1-12222-1-1-1-1-1-1222222000000002-1-1-1-12-1-1-1-12002000000-1-1-1-1000000-10-10
χ1822222222222222-12-1-1-12222-1-1-1-1-1-122-2-2-2-2000000002-1-1-1-12-1-1-1-1-200-200000011110000001010
χ192222222222222-12-1222-1-122-122-1-1-1-1-1000000220022-1-1-122-1-1-1-1-100200200-1-1000000-1-10-1000-1
χ202222222222222-12-1222-1-122-122-1-1-1-1-1000000-2-200-2-2-1-1-122-1-1-1-1-100-200-2001100000011010001
χ21222222222-2-2-2-22-12-1-1-1222-2-1-1-1-1-1-1-2-22222000000002-1-111-21111-200-2000000-1-1-1-10000001010
χ22222222222-2-2-2-22-12-1-1-1222-2-1-1-1-1-1-1-2-2-2-2-2-2000000002-1-111-2111120020000001111000000-10-10
χ23222222222-2-2-2-2-12-1222-1-12-2-122-1-1-1110000002200-2-2-1-1-1-2-21111100-200200-1-10000001101000-1
χ24222222222-2-2-2-2-12-1222-1-12-2-122-1-1-111000000-2-20022-1-1-1-2-21111100200-20011000000-1-10-10001
χ2522222222-22-2222-12-1-1-122-2-2-111-1-1-1-2-222-2-200000000-211-112-1-111200-2000000-1-111000000-1010
χ2622222222-22-2222-12-1-1-122-2-2-111-1-1-1-2-2-2-22200000000-211-112-1-111-200200000011-1-100000010-10
χ2722222222-22-222-12-1222-1-1-2-2-1-2-2-1-1-1110000002200-2-21112-2-1-1-11100200-200-1-1000000110-10001
χ2822222222-22-222-12-1222-1-1-2-2-1-2-2-1-1-111000000-2-200221112-2-1-1-11100-20020011000000-1-101000-1
χ2922222222-2-22-2-22-12-1-1-122-22-111-1-1-12222-2-200000000-2111-1-211-1-1-2002000000-1-11100000010-10
χ3022222222-2-22-2-22-12-1-1-122-22-111-1-1-122-2-22200000000-2111-1-211-1-1200-200000011-1-1000000-1010
χ3122222222-2-22-2-2-12-1222-1-1-22-1-2-2-1-1-1-1-1000000220022111-22111-1-100-200-200-1-1000000-1-1010001
χ3222222222-2-22-2-2-12-1222-1-1-22-1-2-2-1-1-1-1-1000000-2-200-2-2111-22111-1-10020020011000000110-1000-1
χ332-22-22-22-20000022-22-2-22-200200-22-2002-200002-22-2000000000000000000002-22-2002-200000000
χ342-22-22-22-20000022-22-2-22-200200-22-2002-20000-22-2200000000000000000000-222-200-2200000000
χ352-22-22-22-20000022-22-2-22-200200-22-200-2200002-2-22000000000000000000002-2-2200-2200000000
χ362-22-22-22-20000022-22-2-22-200200-22-200-220000-222-200000000000000000000-22-22002-200000000
χ372-2-222-2-220000022-2-22-2-2200200-2-2200002-22-200002-200000000000000002-200002-2002-2000000
χ382-2-222-2-220000022-2-22-2-2200200-2-2200002-2-220000-220000000000000000-2200002-200-22000000
χ392-2-222-2-220000022-2-22-2-2200200-2-220000-222-20000-2200000000000000002-20000-2200-22000000
χ402-2-222-2-220000022-2-22-2-2200200-2-220000-22-2200002-20000000000000000-220000-22002-2000000
χ414444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2000000000000-211-2-2-21111000000000000000000000000
χ42444444444-4-4-4-4-2-2-2-2-2-2-2-24-41-2-211122000000000000-211222-1-1-1-1000000000000000000000000
χ4344444444-44-444-2-2-2-2-2-2-2-2-4-4122111220000000000002-1-1-22-211-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44122111-2-20000000000002-1-12-22-1-111000000000000000000000000
χ4544-4-444-4-400000444-4-44-4-4004004-4-4000000000000000000000000000000000000000000000000
χ4644-4-444-4-4000004-2422-2-4-400-2−2i32i3-222000000000000000−2i32i30000000000000000000000000000000
χ4744-4-444-4-4000004-2422-2-4-400-22i3−2i3-2220000000000000002i3−2i30000000000000000000000000000000
χ4844-4-444-4-400000-24-2-4-442200-200-22223−230000000000000000000023−23000000000000000000000000
χ4944-4-444-4-400000-24-2-4-442200-200-222−232300000000000000000000−2323000000000000000000000000
χ5044-4-444-4-400000-2-2-222-222001−2i32i31-1-123−230000000000000i3−i30003i−3i−33000000000000000000000000
χ5144-4-444-4-400000-2-2-222-222001−2i32i31-1-1−23230000000000000i3−i3000−3i3i3−3000000000000000000000000
χ5244-4-444-4-400000-2-2-222-2220012i3−2i31-1-123−230000000000000−i3i3000−3i3i−33000000000000000000000000
χ5344-4-444-4-400000-2-2-222-2220012i3−2i31-1-1−23230000000000000−i3i30003i−3i3−3000000000000000000000000
χ544-44-44-44-4000004-2-4-2224-400-2002-22004-4000000000000000000000000000000-22000000000000
χ554-44-44-44-4000004-2-4-2224-400-2002-2200-440000000000000000000000000000002-2000000000000
χ564-44-44-44-400000-2424-4-4-2200-2002-22000000004-40000000000000000000000-2200000000000000
χ574-44-44-44-400000-2424-4-4-2200-2002-2200000000-4400000000000000000000002-200000000000000
χ584-4-444-4-44000004-2-42-22-4400-20022-200004-4000000000000000000000000000000-220000000000
χ594-4-444-4-44000004-2-42-22-4400-20022-20000-440000000000000000000000000000002-20000000000
χ604-4-444-4-4400000-242-44-42-200-20022-20000000000004-400000000000000000000000000-22000000
χ614-4-444-4-4400000-242-44-42-200-20022-2000000000000-44000000000000000000000000002-2000000
χ626666-3-3-3-3666-3-300000000-3-3000000000000220022000000000000020020-1-1000000-1-100-100-100
χ636666-3-3-3-3666-3-300000000-3-3000000000000-2-200-2-20000000000000-200-20110000001100100100
χ646666-3-3-3-36-6-63300000000-330000000000002200-2-20000000000000-20020-1-10000001100100-100
χ656666-3-3-3-36-6-63300000000-33000000000000-2-200220000000000000200-2011000000-1-100-100100
χ666666-3-3-3-3-66-6-3-300000000330000000000002200220000000000000-200-20-1-1000000-1-100100100
χ676666-3-3-3-3-66-6-3-30000000033000000000000-2-200-2-2000000000000020020110000001100-100-100
χ686666-3-3-3-3-6-6633000000003-30000000000002200-2-20000000000000200-20-1-10000001100-100100
χ696666-3-3-3-3-6-6633000000003-3000000000000-2-200220000000000000-2002011000000-1-100100-100
χ708-88-88-88-800000-4-44-444-4400200-22-2000000000000000000000000000000000000000000000000
χ718-8-888-8-8800000-4-444-444-400200-2-22000000000000000000000000000000000000000000000000
χ721212-12-12-6-66600063−630000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-666000−63630000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-6600000000000000000000000000000004-400000000000000000000000000-2200000000
χ7512-1212-12-66-660000000000000000000000000000000-44000000000000000000000000002-200000000
χ7612-12-1212-666-60000000000000000000000000004-40000000000000000000000-220000000000000000
χ7712-12-1212-666-6000000000000000000000000000-4400000000000000000000002-20000000000000000

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