Finite Group Databasebeta

← Group #13149566

Character table — Group #13149566

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121212121212121212121212224444444444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1
χ311111111111111111111111111111111111111111-11-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ411111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1111-1-11-111111111-1-1-1-11-1-1-11-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-11-11-1-1-11-111-11-1-1-1-1-1-111-1-111111-1-11
χ7111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1-11111-1-11-1-1-1111-1-1-1-1-1-111-1-1-11111-1
χ8111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-1111-1-1-11111-1-11111-1-1-11-11
χ911111111-11-1-1-1111111111-1111111-1-1-1-11-1-1-1-1-11111-11-1-1-1-11-11111-1-111-1-1-1-1-1-11-111-11
χ1011111111-11-1-1-1111111111-1111111-1-1-1-11-1-1-1-1-1111-111-11-11-11-1-1-1-111-1-1-1-1-1-11111-111-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-11-1-1-1-1-111-111-1111-11-1-1-11111-1-11111-1-1-11-1-1-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-11-1-1-1-1-111-1-1-1-11-111-1111-1-1-1-111111111-1-11-11-1
χ1311111111-1-11-1-111111111-111111-1-111-1-1-1111-1-1-1-1111-11-1-1-1-111-111-1-111-1-1111111-1-1-1-1
χ1411111111-1-11-1-111111111-111111-1-111-1-1-1111-1-1-1-11-1-1-111-111-1-11-1-111-1-1-1-111-1-11-11-111
χ1511111111-1-11-1-111111111-111111-1-111-1-1-1111-1-1-1-1-11-11-111-1-11-111111-1-111-1-111-1-111-1-1
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1111-1-1-1-1-1-111-1-1111-11-1-1-1-1-11111-1-1-1-1-11-1111
χ1722222222222222-122-1-1-1222-1-1-1-1-1-1222-12-1-1-1-1-1-1-1200220200000000000-1-1-1-100-100-100
χ1822222222222222-122-1-1-1222-1-1-1-1-1-1222-12-1-1-1-1-1-1-1-200-2-20-200000000000111100100100
χ192222222222222-12-1-1222-122-1-1-1-122-1-1-12-12-1-1-1-1-1-1020000022200-1-100000000-1-10000-1-1
χ202222222222222-12-1-1222-122-1-1-1-122-1-1-12-12-1-1-1-1-1-10-200000-2-2-200110000000011000011
χ21222222222-2-2222-122-1-1-12-2-2-1-1-1-111-2-22-1-2111-1-111200-2-20200000000000-1-11100-100100
χ22222222222-2-2222-122-1-1-12-2-2-1-1-1-111-2-22-1-2111-1-111-200220-20000000000011-1-100100-100
χ23222222222-2-222-12-1-1222-1-2-2-1-1-1-1-2-211-121-211-1-11102000002-2-200-1-100000000110000-11
χ24222222222-2-222-12-1-1222-1-2-2-1-1-1-1-2-211-121-211-1-1110-200000-222001100000000-1-100001-1
χ2522222222-22-2-2-22-122-1-1-122-2-1-1-1-1-1-1-2-2-21211111-1-12002-20-200000000000111100-100-100
χ2622222222-22-2-2-22-122-1-1-122-2-1-1-1-1-1-1-2-2-21211111-1-1-200-220200000000000-1-1-1-100100100
χ2722222222-22-2-2-2-12-1-1222-12-2-1-1-1-122111-2-1-21111-1-10200000-22-200-1-1000000001100001-1
χ2822222222-22-2-2-2-12-1-1222-12-2-1-1-1-122111-2-1-21111-1-10-2000002-22001100000000-1-10000-11
χ2922222222-2-22-2-22-122-1-1-12-22-1-1-1-11122-21-2-1-1-11111200-220-20000000000011-1-100-100100
χ3022222222-2-22-2-22-122-1-1-12-22-1-1-1-11122-21-2-1-1-11111-2002-20200000000000-1-11100100-100
χ3122222222-2-22-2-2-12-1-1222-1-22-1-1-1-1-2-2-1-11-212-1-111110200000-2-2200-1-100000000-1-1000011
χ3222222222-2-22-2-2-12-1-1222-1-22-1-1-1-1-2-2-1-11-212-1-111110-20000022-2001100000000110000-1-1
χ334444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-2111111000000000000000000000000000000
χ34444444444-4-444-2-2-2-2-2-2-2-2-4-411112222-2-222-1-111-1-1000000000000000000000000000000
χ3544444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-22222-22-1-1-1-111000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-2222-211-1-1-1-1000000000000000000000000000000
χ3744-4-44-44-40000044-444-4-4-4004-4-4400000000000000000000000000000000000000000000
χ3844-4-44-44-4000004-2-44-222-400-222-2000000000000000000000000000000000023−2300000000
χ3944-4-44-44-4000004-2-44-222-400-222-20000000000000000000000000000000000−232300000000
χ4044-4-44-44-400000-242-24-4-4200-222-200000000000000000000000000000000000023−23000000
χ4144-4-44-44-400000-242-24-4-4200-222-2000000000000000000000000000000000000−2323000000
χ424-44-444-4-400000444-4-4-44-40044-4-400000000000000000000000000000000000000000000
χ434-44-444-4-4000004-24-422-2-400-2-2220000000000000000000000000000000023−230000000000
χ444-44-444-4-4000004-24-422-2-400-2-22200000000000000000000000000000000−23230000000000
χ454-44-444-4-400000-24-22-4-44200-2-22200000000000000000000000000−2i32i30000000000000000
χ464-44-444-4-400000-24-22-4-44200-2-222000000000000000000000000002i3−2i30000000000000000
χ474-4-444-4-440000044-4-4-44-44004-44-400000000000000000000000000000000000000000000
χ484-4-444-4-44000004-2-4-42-22400-22-2223−23000000000023−23000000000000000000000000000000
χ494-4-444-4-44000004-2-4-42-22400-22-22−23230000000000−2323000000000000000000000000000000
χ504-4-444-4-4400000-2422-44-4-200-22-2200−2i32i30000−2i32i30000000000000000000000000000000000
χ514-4-444-4-4400000-2422-44-4-200-22-22002i3−2i300002i3−2i30000000000000000000000000000000000
χ524-4-444-4-4400000-2-2222-22-2001-11-123−23−2i32i30000i3−i33i−3i−33000000000000000000000000000000
χ534-4-444-4-4400000-2-2222-22-2001-11-123−232i3−2i30000−i3i3−3i3i−33000000000000000000000000000000
χ544-4-444-4-4400000-2-2222-22-2001-11-1−2323−2i32i30000i3−i3−3i3i3−3000000000000000000000000000000
χ554-4-444-4-4400000-2-2222-22-2001-11-1−23232i3−2i30000−i3i33i−3i3−3000000000000000000000000000000
χ566666-3-3-3-3666-3-300000000-3-300000000000000000000200200002200-1-1-1-10000000-1-1000
χ576666-3-3-3-3666-3-300000000-3-300000000000000000000-200-20000-2-2001111000000011000
χ586666-3-3-3-36-6-6-3-3000000003300000000000000000000200-20000-220011110000000-1-1000
χ596666-3-3-3-36-6-6-3-3000000003300000000000000000000-200200002-200-1-1-1-1000000011000
χ606666-3-3-3-3-66-63300000000-330000000000000000000020020000-2-200-1-1110000000-11000
χ616666-3-3-3-3-66-63300000000-3300000000000000000000-200-20000220011-1-100000001-1000
χ626666-3-3-3-3-6-6633000000003-300000000000000000000200-200002-20011-1-10000000-11000
χ636666-3-3-3-3-6-6633000000003-300000000000000000000-20020000-2200-1-11100000001-1000
χ6488-8-88-88-800000-4-44-4-4444002-2-2200000000000000000000000000000000000000000000
χ658-88-888-8-800000-4-4-4444-440022-2-200000000000000000000000000000000000000000000
χ661212-12-12-66-66000000000000000000000000000000000000000000000000023−23000000000000
χ671212-12-12-66-660000000000000000000000000000000000000000000000000−2323000000000000
χ6812-1212-12-6-66600000000000000000000000000000000000000000000000−2i32i300000000000000
χ6912-1212-12-6-666000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7012-12-1212-666-600063−630000000000000000000000000000000000000000000000000000000000
χ7112-12-1212-666-6000−63630000000000000000000000000000000000000000000000000000000000

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