Finite Group Databasebeta

← Group #13166033

Character table — Group #13166033

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222444466666666888888888888121212121616161616161616161616162424242424242424242424242424363636363636363636727272108108216
order12223366666636662244666633366666666612121212333666666666666666666666121248812122424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111-1-1-1
χ41111111111111111-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111
χ5222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200220000000000
χ62222222222222222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111111111111122-200-2-20000000000
χ722222-122-1-1-12-1-1-1-12222-1-1-1-12-1-1222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1200-1-10000000000
χ822222-122-1-1-12-1-1-1-12222-1-1-1-1-12-1-1-1-1222-1-1-1-1-122-12-1-1-1-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1200-1-10000000000
χ922222-122-1-1-12-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1222-1-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1200-1-10000000000
χ1022222-122-1-1-12-1-1-1-1-2-22211112-1-1222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1-2-2-2-211111111-1-1-200110000000000
χ1122222-122-1-1-12-1-1-1-1-2-2221111-12-1-1-1-1222-1-1-1-1-122-12-1-1-1-1222-1-1-11111-2-2-2-21111-1-1-200110000000000
χ1222222-122-1-1-12-1-1-1-1-2-2221111-1-12-1-1-1-1-1-1222-1-122-1-12-1-1-1-1-1-122211111111-2-2-2-2-1-1-200110000000000
χ132222-12-1-1222-1-1-1-1-10022000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-102200-1-1-1-12-1-1000
χ142222-12-1-1222-1-1-1-1-10022000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-10-2-2001111-211000
χ1522-2-2222-22-2-2-222-2-22-20022-2-2-1-1-111-111-111-10000-1-1-111-111-111-111-1-111-1-111-1-10002−20022−2−20002−20
χ1622-2-2222-22-2-2-222-2-22-20022-2-2-1-1-111-111-111-10000-1-1-111-111-111-111-1-111-1-111-1-1000−2200−2−222000−220
χ1722-2-2222-22-2-2-222-2-2-2200-2-222-1-1-111-111-111-10000-1-1-111-111-111-1-1-111-1-111-1-1110002−20022−2−2000−220
χ1822-2-2222-22-2-2-222-2-2-2200-2-222-1-1-111-111-111-10000-1-1-111-111-111-1-1-111-1-111-1-111000−2200−2−2220002−20
χ192-22-222-2-2-2-2222-2-22002-200002222-2-22-2-22-2-22-2-222222-2-22-2-22-2-20000000000002-2000000000000000
χ202-22-222-2-2-2-2222-2-22002-20000-1-1-1-111-111-1112-2-22-1-1-1-111-111-111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2000000000000000
χ212-22-222-2-2-2-2222-2-22002-20000-1-1-1-111-111-1112-2-22-1-1-1-111-111-111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2000000000000000
χ222-22-22-1-2-211-12-111-1002-2−i3i3−i3i32-1-12-2-2-111-111-11-222-1-12-2-2-111-1110000−i3i3−i3i3i3−i3i3−i3-11000−i3i30000000000
χ232-22-22-1-2-211-12-111-1002-2−i3i3−i3i3-12-1-1112-2-2-111-11-22-12-1-1112-2-2-111i3−i3i3−i30000−i3i3−i3i3-11000−i3i30000000000
χ242-22-22-1-2-211-12-111-1002-2−i3i3−i3i3-1-12-111-1112-2-2-11-22-1-12-111-1112-2-2−i3i3−i3i3i3−i3i3−i30000-11000−i3i30000000000
χ252-22-22-1-2-211-12-111-1002-2i3−i3i3−i32-1-12-2-2-111-111-11-222-1-12-2-2-111-1110000i3−i3i3−i3−i3i3−i3i3-11000i3−i30000000000
χ262-22-22-1-2-211-12-111-1002-2i3−i3i3−i3-12-1-1112-2-2-111-11-22-12-1-1112-2-2-111−i3i3−i3i30000i3−i3i3−i3-11000i3−i30000000000
χ272-22-22-1-2-211-12-111-1002-2i3−i3i3−i3-1-12-111-1112-2-2-11-22-1-12-111-1112-2-2i3−i3i3−i3−i3i3−i3i30000-11000i3−i30000000000
χ282-22-2-1211-2-22-1-111-1002-200002222-2-22-2-22-2-22-21-1-1-1-1-111-111-111000000000000-1100000−i3i3−i3i30−i3i3000
χ292-22-2-1211-2-22-1-111-1002-200002222-2-22-2-22-2-22-21-1-1-1-1-111-111-111000000000000-1100000i3−i3i3−i30i3−i3000
χ30333333333333333333-1-13333000000000000-1-1-1-1000000000000000000000000-1-1-111-1-11111-1-1-111-1
χ31333333333333333333-1-13333000000000000-1-1-1-1000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ323333333333333333-3-3-1-1-3-3-3-3000000000000-1-1-1-1000000000000000000000000-1-1111111111-1-1-1-1-11
χ333333333333333333-3-3-1-1-3-3-3-3000000000000-1-1-1-1000000000000000000000000-1-11-1-111-1-1-1-111111-1
χ344444-24-2-2444-2-2-2-2-200440000-2-2-2-2-2-2-2-2-2-2-2-244-2-2111111111111000000000000-2-2000000000000000
χ354444-2-2-2-2-2-2-2-21111004400004-2-2444-2-2-2-2-2-2-2-2-2-2-211-2-2-211111100000000000011000000000000000
χ364444-2-2-2-2-2-2-2-2111100440000-24-2-2-2-2444-2-2-2-2-2-2-21-21111-2-2-211100000000000011000000000000000
χ374444-2-2-2-2-2-2-2-2111100440000-2-24-2-2-2-2-2-2444-2-2-2-211-2111111-2-2-200000000000011000000000000000
χ3844-4-4444-44-4-4-444-4-44-40044-4-4111-1-11-1-11-1-110000111-1-11-1-11-1-11-1-111-1-111-1-11100000000000000000
χ3944-4-4444-44-4-4-444-4-4-4400-4-444111-1-11-1-11-1-110000111-1-11-1-11-1-1111-1-111-1-111-1-100000000000000000
χ4044-4-44-24-4-222-4-2-2224-400-2-22211-2-1-11-1-1122-2000011-2-1-11-1-1122-2-1-111-1-11122-2-200000000000000000
χ4144-4-44-24-4-222-4-2-2224-400-2-2221-21-1-1122-2-1-1100001-21-1-1122-2-1-11-1-11122-2-2-1-11100000000000000000
χ4244-4-44-24-4-222-4-2-2224-400-2-222-21122-2-1-11-1-110000-21122-2-1-11-1-1122-2-2-1-111-1-11100000000000000000
χ4344-4-44-24-4-222-4-2-222-440022-2-211-2-1-11-1-1122-2000011-2-1-11-1-1122-211-1-111-1-1-2-22200000000000000000
χ4444-4-44-24-4-222-4-2-222-440022-2-21-21-1-1122-2-1-1100001-21-1-1122-2-1-1111-1-1-2-22211-1-100000000000000000
χ4544-4-44-24-4-222-4-2-222-440022-2-2-21122-2-1-11-1-110000-21122-2-1-11-1-11-2-22211-1-111-1-100000000000000000
χ4644-4-4-24-224-4-42-2-22200000000-2-2-222-222-222-20000111-1-11-1-11-1-1100000000000000022−2200−2−222000000
χ4744-4-4-24-224-4-42-2-22200000000-2-2-222-222-222-20000111-1-11-1-11-1-11000000000000000−22220022−2−2000000
χ484-44-4-2422-4-44-2-222-2004-40000-2-2-2-222-222-2224-42-21111-1-11-1-11-1-1000000000000-22000000000000000
χ494-44-4-2-22222-2-21-1-11004-400004-2-24-4-4-222-222-222-2-211-2221-1-11-1-10000000000001-1000000000000000
χ504-44-4-2-22222-2-21-1-11004-40000-24-2-2224-4-4-222-222-21-211-1-1-2221-1-10000000000001-1000000000000000
χ514-44-4-2-22222-2-21-1-11004-40000-2-24-222-2224-4-4-222-211-21-1-11-1-1-2220000000000001-1000000000000000
χ524-4-4444-44-44-4-44-44-400000000111-11-1-11-1-11-10000111-11-1-11-1-11-1−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000000
χ534-4-4444-44-44-4-44-44-400000000111-11-1-11-1-11-10000111-11-1-11-1-11-1i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000000
χ544-4-4444-44-44-4-44-44-400000000-2-2-22-222-222-220000-2-2-22-222-222-2200000000000000000000000000000
χ554-4-444-2-442-22-4-22-220000−2i32i32i3−2i311-2-11-1-11-12-22000011-2-11-1-11-12-22−i3i3i3−i3i3−i3−i3i3000000000000000000000
χ564-4-444-2-442-22-4-22-220000−2i32i32i3−2i31-21-11-12-22-11-100001-21-11-12-22-11-1i3−i3−i3i30000−i3i3i3−i300000000000000000
χ574-4-444-2-442-22-4-22-220000−2i32i32i3−2i3-2112-22-11-1-11-10000-2112-22-11-1-11-10000−i3i3i3−i3i3−i3−i3i300000000000000000
χ584-4-444-2-442-22-4-22-2200002i3−2i3−2i32i311-2-11-1-11-12-22000011-2-11-1-11-12-22i3−i3−i3i3−i3i3i3−i3000000000000000000000
χ594-4-444-2-442-22-4-22-2200002i3−2i3−2i32i31-21-11-12-22-11-100001-21-11-12-22-11-1−i3i3i3−i30000i3−i3−i3i300000000000000000
χ604-4-444-2-442-22-4-22-2200002i3−2i3−2i32i3-2112-22-11-1-11-10000-2112-22-11-1-11-10000i3−i3−i3i3−i3i3i3−i300000000000000000
χ614-4-44-242-2-44-42-22-2200000000-2-2-22-222-222-220000111-11-1-11-1-11-10000000000000000000i6−i6−i6i6000000
χ624-4-44-242-2-44-42-22-2200000000-2-2-22-222-222-220000111-11-1-11-1-11-10000000000000000000−i6i6i6−i6000000
χ6366666-366-3-3-36-3-3-3-366-2-2-3-3-3-300000000000011-2-200000000000000000000000011-200110000000000
χ6466666-366-3-3-36-3-3-3-3-6-6-2-2333300000000000011-2-200000000000000000000000011200-1-10000000000
χ656666-36-3-3666-3-3-3-3-300-2-20000000000000000-2-2110000000000000000000000001102200-1-1-1-1-211000
χ666666-36-3-3666-3-3-3-3-300-2-20000000000000000-2-211000000000000000000000000110-2-20011112-1-1000
χ676-66-666-6-6-6-6666-6-6600-220000000000000000-222-2000000000000000000000000-22000000000000000
χ686-66-66-3-6-633-36-333-300-22−3i33i3−3i33i30000000000001-12-20000000000000000000000001-1000i3−i30000000000
χ696-66-66-3-6-633-36-333-300-223i3−3i33i3−3i30000000000001-12-20000000000000000000000001-1000−i3i30000000000
χ706-66-6-3633-6-66-3-333-300-220000000000000000-22-110000000000000000000000001-100000−i3i3−i3i30i3−i3000
χ716-66-6-3633-6-66-3-333-300-220000000000000000-22-110000000000000000000000001-100000i3−i3i3−i30−i3i3000
χ7288-8-8-48-448-8-84-4-44400000000222-2-22-2-22-2-220000-1-1-111-111-111-100000000000000000000000000000
χ7388-8-8-4-4-44-444422-2-20000000022-4-2-22-2-2244-40000-1-1211-111-1-2-2200000000000000000000000000000
χ7488-8-8-4-4-44-444422-2-2000000002-42-2-2244-4-2-220000-12-111-1-2-2211-100000000000000000000000000000
χ7588-8-8-4-4-44-444422-2-200000000-42244-4-2-22-2-2200002-1-1-2-2211-111-100000000000000000000000000000
χ768-8-88-484-4-88-84-44-4400000000222-22-2-22-2-22-20000-1-1-11-111-111-1100000000000000000000000000000
χ778-8-88-4-44-44-4442-22-20000000022-4-22-2-22-24-440000-1-121-111-11-22-200000000000000000000000000000
χ788-8-88-4-44-44-4442-22-2000000002-42-22-24-44-22-20000-12-11-11-22-21-1100000000000000000000000000000
χ798-8-88-4-44-44-4442-22-200000000-4224-44-22-2-22-200002-1-1-22-21-111-1100000000000000000000000000000
χ8012121212-6-6-6-6-6-6-6-6333300-4-400000000000000002222000000000000000000000000-1-1000000000000000
χ8112-1212-12-6-66666-6-63-3-3300-4400000000000000002-2-22000000000000000000000000-11000000000000000

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