Finite Group Databasebeta

← Group #13149538

Character table — Group #13149538

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121212121212121212121212224444444444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11-1
χ311111111111111111111111111111111111111111-11-11-1-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11
χ411111111111111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-111-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-1-111-111-1-1-1-111-1-11-1-11-111-111-1-1-1-1-1-111-1-1111-1-11
χ6111111111-1-11111111111-1-11111-1-1-1-1-111-111-1-1-1-11-1-111-11-11-1-11-1-11111-1-111111-1-11-1-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-111-111-1-1-1-1-111-1-1111-1-1-1111111111-1-1-1-1-1-1-1-111
χ8111111111-1-11111111111-1-11111-1-1-1-1-111-111-1-1-1-1-1-111-11-1-1111-1-1-1-1-1-1-111-1-111-11111-1
χ911111111-11-1-1-1111111111-1111111-1-1-1-1-11-1-111-1-111-11-11-1-1-11-1111-1-111-1-1-1-1-1-111-111-1
χ1011111111-11-1-1-1111111111-1111111-1-1-1-1-11-1-111-1-11-1-1-1-11111-11-1-1-111-1-1-1-1-1-1111-11-111
χ1111111111-11-1-1-1111111111-1111111-1-1-1-1-11-1-111-1-1-11111-11-1-1-11-11111-1-11111-1-1-1-111-1-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-11-1-111-1-1-1-11-11-1-1111-11-1-1-1-111111111-11-1-1-11
χ1311111111-1-11-1-111111111-111111-1-1111-1-1-1-1-1-1-111111-1-1-11-111-1-11111-1-111-1-11111-1-1-1-1
χ1411111111-1-11-1-111111111-111111-1-1111-1-1-1-1-1-1-1111-111-1-1-11-1-111-1-1-1-11111-1-1-1-11-111-11
χ1511111111-1-11-1-111111111-111111-1-1111-1-1-1-1-1-1-111-11-1-111-1-11-11111-1-111-1-11111-1-11-11-1
χ1611111111-1-11-1-111111111-111111-1-1111-1-1-1-1-1-1-111-1-1-111111-11-1-1-1-111-1-1-1-111-1-1-11-1111
χ1722222222222222-12-12-1-1222-1-1-1-1-1-122-12-12-1-1-1-1-1-1202022000000000000-1-1-1-100-1000-10
χ1822222222222222-12-12-1-1222-1-1-1-1-1-122-12-12-1-1-1-1-1-1-20-20-2-2000000000000111100100010
χ192222222222222-12-12-122-122-1-1-1-122-1-12-12-1-1-1-1-1-1-1020200022000-1-100000000-1-1000-10-1
χ202222222222222-12-12-122-122-1-1-1-122-1-12-12-1-1-1-1-1-1-10-20-2000-2-2000110000000011000101
χ21222222222-2-2222-12-12-1-12-2-2-1-1-1-111-2-212-1-2-1-1111120-202-200000000000011-1-100-100010
χ22222222222-2-2222-12-12-1-12-2-2-1-1-1-111-2-212-1-2-1-11111-2020-22000000000000-1-111001000-10
χ23222222222-2-222-12-12-122-1-2-2-1-1-1-1-2-211-2-121-1-11111020-20002-2000-1-1000000001100010-1
χ24222222222-2-222-12-12-122-1-2-2-1-1-1-1-2-211-2-121-1-111110-202000-220001100000000-1-1000-101
χ2522222222-22-2-2-22-12-12-1-122-2-1-1-1-1-1-1-2-21-21211-1-11120-20-22000000000000111100-1000-10
χ2622222222-22-2-2-22-12-12-1-122-2-1-1-1-1-1-1-2-21-21211-1-111-20202-2000000000000-1-1-1-100100010
χ2722222222-22-2-2-2-12-12-122-12-2-1-1-1-12211-21-2-111-1-1110202000-2-2000-1-10000000011000-101
χ2822222222-22-2-2-2-12-12-122-12-2-1-1-1-12211-21-2-111-1-1110-20-2000220001100000000-1-100010-1
χ2922222222-2-22-2-22-12-12-1-12-22-1-1-1-11122-1-21-21111-1-12020-2-2000000000000-1-11100-100010
χ3022222222-2-22-2-22-12-12-1-12-22-1-1-1-11122-1-21-21111-1-1-20-202200000000000011-1-1001000-10
χ3122222222-2-22-2-2-12-12-122-1-22-1-1-1-1-2-2-1-121-211111-1-1020-2000-22000-1-100000000-1-1000101
χ3222222222-2-22-2-2-12-12-122-1-22-1-1-1-1-2-2-1-121-211111-1-10-2020002-2000110000000011000-10-1
χ334444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-2111111000000000000000000000000000000
χ34444444444-4-444-2-2-2-2-2-2-2-2-4-4111122222-2-2211-1-1-1-1000000000000000000000000000000
χ3544444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-222222-2-1-111-1-1000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-2-2222-1-1-1-111000000000000000000000000000000
χ3744-4-444-4-40000044-4-444-4-4004-44-400000000000000000000000000000000000000000000
χ3844-4-444-4-4000004-2-424-22-400-22-2223−230000000023−2300000000000000000000000000000000
χ3944-4-444-4-4000004-2-424-22-400-22-22−232300000000−232300000000000000000000000000000000
χ4044-4-444-4-400000-242-4-24-4200-22-220023−230000000023−23000000000000000000000000000000
χ4144-4-444-4-400000-242-4-24-4200-22-2200−232300000000−2323000000000000000000000000000000
χ4244-4-444-4-400000-2-222-2-222001-11-123−2323−2300003-3−33−33000000000000000000000000000000
χ4344-4-444-4-400000-2-222-2-222001-11-123−23−23230000-33−333−3000000000000000000000000000000
χ4444-4-444-4-400000-2-222-2-222001-11-1−232323−230000-333−3−33000000000000000000000000000000
χ4544-4-444-4-400000-2-222-2-222001-11-1−2323−232300003-33−33−3000000000000000000000000000000
χ464-44-44-44-400000444-4-4-44-40044-4-400000000000000000000000000000000000000000000
χ474-44-44-44-4000004-242-42-2-400-2-2220000000000000000000000000000000023−230000000000
χ484-44-44-44-4000004-242-42-2-400-2-22200000000000000000000000000000000−23230000000000
χ494-44-44-44-400000-24-2-42-44200-2-22200000000000000000000000000−2i32i30000000000000000
χ504-44-44-44-400000-24-2-42-44200-2-222000000000000000000000000002i3−2i30000000000000000
χ514-4-444-4-440000044-44-4-4-44004-4-4400000000000000000000000000000000000000000000
χ524-4-444-4-44000004-2-4-2-422400-222-2000000000000000000000000000000000023−2300000000
χ534-4-444-4-44000004-2-4-2-422400-222-20000000000000000000000000000000000−232300000000
χ544-4-444-4-4400000-24242-4-4-200-222-2000000000000000000000000000000000000−2i32i3000000
χ554-4-444-4-4400000-24242-4-4-200-222-20000000000000000000000000000000000002i3−2i3000000
χ566666-3-3-3-3666-3-300000000-3-300000000000000000000000020022200-1-1-1-10000000-1-1000
χ576666-3-3-3-3666-3-300000000-3-3000000000000000000000000-200-2-2-2001111000000011000
χ586666-3-3-3-36-6-6-3-30000000033000000000000000000000000200-2-2200-1-1-1-1000000011000
χ596666-3-3-3-36-6-6-3-30000000033000000000000000000000000-20022-20011110000000-1-1000
χ606666-3-3-3-3-66-63300000000-33000000000000000000000000200-22-200-1-11100000001-1000
χ616666-3-3-3-3-66-63300000000-33000000000000000000000000-2002-220011-1-10000000-11000
χ626666-3-3-3-3-6-6633000000003-30000000000000000000000002002-2-200-1-1110000000-11000
χ636666-3-3-3-3-6-6633000000003-3000000000000000000000000-200-2220011-1-100000001-1000
χ648-88-88-88-800000-4-4-4444-440022-2-200000000000000000000000000000000000000000000
χ658-8-888-8-8800000-4-44-4444-4002-2-2200000000000000000000000000000000000000000000
χ661212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000
χ671212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000
χ6812-1212-12-66-6600000000000000000000000000000000000000000000000−2i32i300000000000000
χ6912-1212-12-66-66000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7012-12-1212-666-60000000000000000000000000000000000000000000000000−2i32i3000000000000
χ7112-12-1212-666-600000000000000000000000000000000000000000000000002i3−2i3000000000000

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