Finite Group Databasebeta

← Group #13140611

Character table — Group #13140611

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222224466666666888121212121212121224242424242424242424363636363636363636363636363636363636727272727272727272
order122234466612123366666626636661212121266666666121244888812121212242424242424242422466661212
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ311111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1
χ511111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1
χ711111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-11111
χ811111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-111
χ92222222222222-1-1-1-1222222-1-1-1-1-122-122-1-1-1-1-1-1-1-100002200000000-1-1-1-102000-1-100
χ102222222222222-1-1-1-1222222-1-1-1-1-122-122-1-1-1-1-1-1-1-10000-2-20000000011110-20001100
χ112222222222222-1-1-1-1222-2-2-2-1-1-1-1-122-1-2-2111111-1-100002200000000-1-1-1-10-20001100
χ122222222222222-1-1-1-1222-2-2-2-1-1-1-1-122-1-2-2111111-1-10000-2-200000000111102000-1-100
χ13222222222222-12222-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-1-1-1220000-1-1-1-1000000000020000-1-1
χ14222222222222-12222-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-1-1-1-2-2000011110000000000-2000011
χ15222222222222-12222-1-1-1-2-2-2-1-1-1-12-1-1211-2-21111-1-1220000-1-1-1-10000000000-2000011
χ16222222222222-12222-1-1-1-2-2-2-1-1-1-12-1-1211-2-21111-1-1-2-200001111000000000020000-1-1
χ1722222-2-2222-2-2222222220002222-2-2-2-200000000-2-22-2000022-2-200000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-200000000-2-2-220000-2-22200000000000000000
χ1922222-2-2222-2-2-12222-1-1-1000-1-1-1-1-211-2−i3i300−i3−i3i3i3112-20000-1-111000000000000000−i3i3
χ2022222-2-2222-2-2-12222-1-1-1000-1-1-1-1-211-2−i3i300−i3−i3i3i311-22000011-1-1000000000000000i3−i3
χ2122222-2-2222-2-2-12222-1-1-1000-1-1-1-1-211-2i3−i300i3i3−i3−i3112-20000-1-111000000000000000i3−i3
χ2222222-2-2222-2-2-12222-1-1-1000-1-1-1-1-211-2i3−i300i3i3−i3−i311-22000011-1-1000000000000000−i3i3
χ232-2-2222-2-2-222-222-2-22-2-220002-2-22-22-22000000002-200002-20000000022-2-2000000000
χ242-2-2222-2-2-222-222-2-22-2-220002-2-22-22-22000000002-20000-2200000000-2-222000000000
χ252-2-2222-2-2-222-22-111-1-2-22000-111-112-2-100−i3i3−i3i3−i3i3-1100002-200000000-1-11100000−i3i300
χ262-2-2222-2-2-222-22-111-1-2-22000-111-112-2-100−i3i3−i3i3−i3i3-110000-220000000011-1-100000i3−i300
χ272-2-2222-2-2-222-22-111-1-2-22000-111-112-2-100i3−i3i3−i3i3−i3-1100002-200000000-1-11100000i3−i300
χ282-2-2222-2-2-222-22-111-1-2-22000-111-112-2-100i3−i3i3−i3i3−i3-110000-220000000011-1-100000−i3i300
χ292-2-222-22-2-22-2222-2-22-2-220002-2-222-22-200000000-22002-200000022-2-20000000000000
χ302-2-222-22-2-22-2222-2-22-2-220002-2-222-22-200000000-2200-22000000-2-2220000000000000
χ31444444444444-2-2-2-2-2-2-2-24441111-2-2-2-2-2-2-2-2111111000000000000000000000000000
χ32444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-22222-1-1-1-111000000000000000000000000000
χ3344444-4-4444-4-44-2-2-2-2444000-2-2-2-22-4-420000000022000000000000000000000000000
χ3444444-4-4444-4-4-2-2-2-2-2-2-2-200011112222−2i32i300i3i3−i3−i3-1-1000000000000000000000000000
χ3544444-4-4444-4-4-2-2-2-2-2-2-2-2000111122222i3−2i300−i3−i3i3i3-1-1000000000000000000000000000
χ3644-4-44004-4-400444-4-44-4-400044-4-400000000000000000000000000000000000000000
χ3744-4-44004-4-4004-2-2224-4-4000-2-2220000000000000000000000000000i6−i6i6−i6000000000
χ3844-4-44004-4-4004-2-2224-4-4000-2-2220000000000000000000000000000−i6i6−i6i6000000000
χ3944-4-44004-4-400-244-4-4-222000-2-222000000000000000000000023−2300000000000000000
χ4044-4-44004-4-400-244-4-4-222000-2-2220000000000000000000000−232300000000000000000
χ414-44-4400-44-40044-44-4-44-40004-44-400000000000000000000000000000000000000000
χ424-44-4400-44-4004-22-22-44-4000-22-220000000000000000000000000000i6−i6−i6i6000000000
χ434-44-4400-44-4004-22-22-44-4000-22-220000000000000000000000000000−i6i6i6−i6000000000
χ444-44-4400-44-400-24-44-42-22000-22-220000000000000000000023−230000000000000000000
χ454-44-4400-44-400-24-44-42-22000-22-2200000000000000000000−23230000000000000000000
χ464-4-4444-4-4-444-4-24-4-4422-2000-222-2-4-22400000000-22000000000000000000000000000
χ474-4-4444-4-4-444-4-2-222-222-20001-1-112-22-200−2i32i3i3−i3i3−i31-1000000000000000000000000000
χ484-4-4444-4-4-444-4-2-222-222-20001-1-112-22-2002i3−2i3−i3i3−i3i31-1000000000000000000000000000
χ494-4-444-44-4-44-444-222-2-4-44000-222-2-2-442000000002-2000000000000000000000000000
χ504-4-444-44-4-44-44-24-4-4422-2000-222-242-2-4000000002-2000000000000000000000000000
χ514-4-444-44-4-44-44-2-222-222-20001-1-11-22-2200003-3-33-11000000000000000000000000000
χ524-4-444-44-4-44-44-2-222-222-20001-1-11-22-220000-333-3-11000000000000000000000000000
χ536666-366-3-3-3-3-3000000006-3-30000000000000000000022000000-1-1-1-10000200-1-10000
χ546666-366-3-3-3-3-3000000006-3-300000000000000000000-2-200000011110000-200110000
χ556666-366-3-3-3-3-300000000-6330000000000000000000022000000-1-1-1-10000-200110000
χ566666-366-3-3-3-3-300000000-63300000000000000000000-2-200000011110000200-1-10000
χ576-6-66-3-6633-33-3000000000−3i33i3000000000000000000002-2000000-1-1110000000−i3i30000
χ586-6-66-3-6633-33-3000000000−3i33i300000000000000000000-2200000011-1-10000000i3−i30000
χ596-6-66-3-6633-33-30000000003i3−3i3000000000000000000002-2000000-1-1110000000i3−i30000
χ606-6-66-3-6633-33-30000000003i3−3i300000000000000000000-2200000011-1-10000000−i3i30000
χ6188-8-88008-8-800-4-4-444-44400022-2-200000000000000000000000000000000000000000
χ628-88-8800-88-800-4-44-444-440002-22-200000000000000000000000000000000000000000
χ6312121212-6-12-12-6-6-66600000000000000000000000000000000000000000000000000000000
χ641212-12-12-600-66600000000000000000000000000000000000000000i6−i6i6−i60000000000000
χ651212-12-12-600-66600000000000000000000000000000000000000000−i6i6−i6i60000000000000
χ6612-1212-12-6006-6600000000000000000000000000000000000000000i6−i6−i6i60000000000000
χ6712-1212-12-6006-6600000000000000000000000000000000000000000−i6i6i6−i60000000000000
χ6812-12-1212-612-1266-6-6600000000000000000000000000000000000000000000000000000000

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