Finite Group Databasebeta

← Group #13180545

Character table — Group #13180545

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112224444444668888888991212121212121212121216181818242424242424242424242424243636363636363648485454727272727272108108
order12236336666622336666622222466666662666666666666612122444446612226121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111111111-111111-11111-1-1-111-1-1-11-1-111-1-111-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1111111111-1-111-1-1-1-1111-1-11-1-11111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111
χ5111111111111-1-111111111111111111-1-111111-1-111-11111111-1-1-1-111111-1-1-1-1-1-111-1-1
χ6111111111111-1-111111111111-1-11111-1-11111-1-1-111-1-11111-1-11-1-11-1-11-1-1-1-111-1-1-1-111
χ7111111111111-1-1111111111-1-111-1-1-1-1-1-111111-1-1-1-1-11-1-1-1-111-111-1-1-1111-1-1-1-111-1-111
χ8111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1
χ911-11111-1-1-1111-111-11-1-11111-11-111-1-111-1-11111-11-1-1111-1-1-1-111-1-11-1-11-11-11-11-11-11-1
χ1011-11111-1-1-1111-111-11-1-11111-1-1111-1-111-1-111-11-11-1-1-111-1-111-11-11-11-1-111-1-111-1-11-11
χ1111-11111-1-1-1111-111-11-1-1111-111-1-1-11111-1-11111-1-11-11-1-111-1-11-11-1-11-11-11-11-1-11-11-11
χ1211-11111-1-1-1111-111-11-1-1111-11-11-1-11111-1-111-11-1-11-1-1-1-11111-1-1111-1-1-111-1-11-111-11-1
χ1311-11111-1-1-111-1111-11-1-11111-11-111-1-1-1-1-1-1111-111-11111-1-1-1-1-1-1111-1-11-1-11-11-111-1-11
χ1411-11111-1-1-111-1111-11-1-11111-1-1111-1-1-1-1-1-111-1-111-11-111-1-1111-11-1-11-1-11-111-1-11-111-1
χ1511-11111-1-1-111-1111-11-1-1111-111-1-1-111-1-1-1-1111-11-1111-1-111-1-1-11-11-11-11-1-11-111-1-111-1
χ1611-11111-1-1-111-1111-11-1-1111-11-11-1-111-1-1-1-111-1-11-111-1-1-1111111-1-11-1-1-11-111-11-11-1-11
χ17222222222222222222222-2-200000000222-2-2-20220020000000000000-200-2-200000000
χ18222222222222-2-22222222-2-200000000-2-22-2-2-20-2-200-20000000000000-2002200000000
χ19222-1-122-1222200-1-12-1-1-1-1222222-1-1-1-100-12-1-1-1002202-1-1-1-1-12000022-1-1-1000000-1-100
χ20222-1-122-1222200-1-12-1-1-1-12222-2-2-1-1-1-100-12-1-1100220-2-1-1-1-11-20000-2-2-1110000001100
χ21222-1-122-1222200-1-12-1-1-1-122-2-222111100-12-1-1-100-2-2021111-120000-2-2-1-1-10000001100
χ22222-1-122-1222200-1-12-1-1-1-122-2-2-2-2111100-12-1-1100-2-20-211111-2000022-111000000-1-100
χ2322-22222-2-2-2222-222-22-2-22-2-20000000022-22-2-202-200-20000000000000200-2200000000
χ2422-22222-2-2-222-2222-22-2-22-2-200000000-2-2-22-2-20-2200200000000000002002-200000000
χ2522-2-1-1221-2-22200-1-1-2-111-1222-22-2-1-111001-2-1-1-1002-202-1-1111-200002-21-11000000-1100
χ2622-2-1-1221-2-22200-1-1-2-111-1222-2-22-1-111001-2-1-11002-20-2-1-111-120000-2211-10000001-100
χ2722-2-1-1221-2-22200-1-1-2-111-122-222-211-1-1001-2-1-1-100-220211-1-11-20000-221-110000001-100
χ2822-2-1-1221-2-22200-1-1-2-111-122-22-2211-1-1001-2-1-1100-220-211-1-1-1200002-211-1000000-1100
χ29444441-2411-2144-21-2111-20022002222-2-2-2000011-1-1-20-1-1-1-1000220000000000-1-10000
χ30444441-2411-2144-21-2111-200-2-200-2-2-2-2-2-2-200001111-201111000-2-20000000000110000
χ31444441-2411-21-4-4-21-2111-2002200222222-20000-1-1-1-120-1-1-1-1000-2-20000000000110000
χ32444441-2411-21-4-4-21-2111-200-2-200-2-2-2-222-20000-1-111201111000220000000000-1-10000
χ3344444-214-2-21-2441-21-2-2-2100002200001110002-2-2001-100002-12002000-1-100-1-1000000
χ3444444-214-2-21-2441-21-2-2-210000-2-20000111000-2-2-200110000-21-200-2000110011000000
χ3544444-214-2-21-2-4-41-21-2-2-210000220000-1-1100022200-1-100002-1-200-2000-1-10011000000
χ3644444-214-2-21-2-4-41-21-2-2-210000-2-20000-1-11000-22200-110000-2120020001100-1-1000000
χ37444-2-244-2444400-2-24-2-2-2-2-4-40000000000-2-42200000000000000000002000000000000
χ3844-4441-2-4-1-1-214-4-2121-1-1-2002-20022-2-2-2-2200001-1-1120-1-1110002-20000000000-110000
χ3944-4441-2-4-1-1-214-4-2121-1-1-200-2200-2-222-2-2200001-11-12011-1-1000-2200000000001-10000
χ4044-4441-2-4-1-1-21-44-2121-1-1-2002-20022-2-22220000-11-11-20-1-111000-2200000000001-10000
χ4144-4441-2-4-1-1-21-44-2121-1-1-200-2200-2-2222220000-111-1-2011-1-10002-20000000000-110000
χ4244-444-21-4221-24-41-2-1-222100002-2000011-10002-2200-1-10000-21200-2000-1100-11000000
χ4344-444-21-4221-24-41-2-1-22210000-22000011-1000-2-2200-1100002-1-20020001-1001-1000000
χ4444-444-21-4221-2-441-2-1-222100002-20000-1-1-100022-2001-10000-21-2002000-11001-1000000
χ4544-444-21-4221-2-441-2-1-22210000-220000-1-1-1000-22-2001100002-1200-20001-100-11000000
χ4644-4-2-2442-4-44400-2-2-4-222-2-4-4000000000024220000000000000000000-2000000000000
χ474-404-444000-4-400440-400-44-40000000000004-400000000000000000000000000000000
χ484-404-444000-4-400440-400-4-44000000000000-4400000000000000000000000000000000
χ494-40-2244000-4-400-2-2020024-400002i3−2i3000000-2200000002i3−2i300000000000000000000000
χ504-40-2244000-4-400-2-2020024-40000−2i32i3000000-220000000−2i32i300000000000000000000000
χ514-40-2244000-4-400-2-202002-440000002i3−2i300002-20000000002i3−2i3000000000000000000000
χ524-40-2244000-4-400-2-202002-44000000−2i32i300002-2000000000−2i32i3000000000000000000000
χ53888-4-42-4-422-42002-1-4-1-1-12004400-2-2-2-2002000000-2-2001111000000000000000000000
χ54888-4-42-4-422-42002-1-4-1-1-1200-4-40022220020000002200-1-1-1-1000000000000000000000
χ55888-4-4-42-4-4-42-400-122222-1000044000000-1000-200000-20000-2-20000000110000000000
χ56888-4-4-42-4-4-42-400-122222-10000-4-4000000-100020000020000220000000-1-10000000000
χ5788-8-4-42-44-2-2-42002-14-1112004-400-2-22200-2000000-220011-1-1000000000000000000000
χ5888-8-4-42-44-2-2-42002-14-111200-440022-2-200-20000002-200-1-111000000000000000000000
χ5988-8-4-4-424442-400-12-22-2-2-100004-40000001000-200000-200002200000001-10000000000
χ6088-8-4-4-424442-400-12-22-2-2-10000-44000000100020000020000-2-20000000-110000000000
χ618-808-82-406-64-200-420-26-64000000000000000000000000000000000000000000000000
χ628-808-82-40-664-200-420-2-664000000000000000000000000000000000000000000000000
χ638-808-8-42000-24002-40400-200000000006-6000000000000000000000000000000000000
χ648-808-8-42000-24002-40400-20000000000-66000000000000000000000000000000000000
χ658-80-442-406-64-2002-101-33-20000002i3−2i32i3−2i30000000000000−i3i3−i3i3000000000000000000000
χ668-80-442-406-64-2002-101-33-2000000−2i32i3−2i32i30000000000000i3−i3i3−i3000000000000000000000
χ678-80-442-40-664-2002-1013-3-20000002i3−2i3−2i32i30000000000000−i3i3i3−i3000000000000000000000
χ688-80-442-40-664-2002-1013-3-2000000−2i32i32i3−2i30000000000000i3−i3−i3i3000000000000000000000
χ6916-160-88-84000-4800-240-4002000000000000000000000000000000000000000000000000

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