Finite Group Databasebeta

← Group #13171678

Character table — Group #13171678

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444444444666666888888889999991212121212121212121212121212121616161616161818181818181818182424242424242424242424243636363636364848485454727272108
order123334666333466612121288888836121212121212224444244242424242424242424242424121212121212224661212121266121212122424242424242246612612128866122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11111111111-1-1-1-1-11111111111-1-1-1-1111111-1-1111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-1-1-1-11-1
χ3111111111111111111111-1-11111111111-1-111-1-111-11111-1-1-1-111111111111-1-1-1-111-1-1111-11-111-1-1111-1-11-1-111-1-1-11-1-1-1
χ4111111111111111111111-1-1-1-111111111-1-1-1-111-11-11111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-111-1-11-11-111-1-1-1-1-11-1-11-1-11-111-11-11
χ51111111111111111111-1-1111111111111-1-1-1-1111-11-1-1-1-111111111111111-11-1-1-1-1-11111-11-11-1-11111-11-1-11-11-11-1-1-11-1-1
χ61111111111111111111-1-111-1-111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-1-11-11-1-111-1-11-1-11-1-1-1-11111-1-11
χ71111111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-111
χ81111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1
χ9111111111111-111111111111111-1-1-1111111111-1-1-1111111111111-1-1-11-1-1111111111-1-1-1-1-1-1111111-1-1-1111-1-1-111-1-1-1-1
χ10111111111111-11111111111-1-111-1-1-111111-1-1-1-11-1-111111111-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-1-1-111-11
χ11111111111111-111111111-1-11111-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-11-1-11-1-1-1-111-1-1-1-1-11-1111-1-111-1111-1-1-1-11-1-1-1111
χ12111111111111-111111111-1-1-1-111-1-1-1111-1-1-1-1111-111111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-11111-11-1111-1-1-1-11-11-11-11-11111-11-1
χ13111111111111-1111111-1-1111111-1-1-1111-1-1-1-111-11-1-1-1-1-111111111-1-1-11-1-1-11-1-1-1-1-111-1-11-11-1-1-111111-11-11-1-11-1-1-11-111
χ14111111111111-1111111-1-111-1-111-1-1-1111-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1111-11-1-1-111-1-1-1111-1-111-111-111-1
χ15111111111111-1111111-1-1-1-11111-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1111111-1-1
χ16111111111111-1111111-1-1-1-1-1-111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ1722222-22222220222-2-2-200000022000-2-2-2222222000000000000000000-200-2-2-2222222000000000000000-2-2-2000000000
χ1822222-22222220222-2-2-200000022000-2-2-222-2-2-2-2000000000000000000-20022-222-2-2-2-200000000000000022-2000000000
χ1922222-22222220222-2-2-200000022000-2-2-2-2-222-2-2000000000000000000-200-222-2-222-2-2000000000000000-222000000000
χ2022222-22222220222-2-2-200000022000-2-2-2-2-2-2-222000000000000000000-2002-22-2-2-2-2220000000000000002-22000000000
χ212222-122-122-1-12-12-12-12002222-1-12-12-12-1000022202000022-1-122-1-1-12-1-1-1-10200000-1-12-10-10200-1-1-1-10200-10-10-1000-100
χ222222-122-122-1-12-12-12-120022-2-2-1-12-12-12-10000-2-2-202000022-1-1-2-211-12-1-1-1-10-20000011-210-10200-1-1110-2001010-1000100
χ232222-122-122-1-12-12-12-1200-2-222-1-12-12-12-10000-2-220-20000-2-21122-1-1-12-1-1-1-10-200000112-1010-20011-1-10-20010-101000100
χ242222-122-122-1-12-12-12-1200-2-2-2-2-1-12-12-12-1000022-20-20000-2-211-2-211-12-1-1-1-10200000-1-1-21010-20011110200-10101000-100
χ252222-122-122-1-1-2-12-12-12002222-1-1-21-2-12-1000022-20-2000022-1-122-1-11-21-1110200000-1-1-21010-200-1-1-1-10-200-10101000100
χ262222-122-122-1-1-2-12-12-120022-2-2-1-1-21-2-12-10000-2-220-2000022-1-1-2-2111-21-1110-200000112-1010-200-1-111020010-101000-100
χ272222-122-122-1-1-2-12-12-1200-2-222-1-1-21-2-12-10000-2-2-2020000-2-21122-1-11-21-1110-20000011-210-1020011-1-102001010-1000-100
χ282222-122-122-1-1-2-12-12-1200-2-2-2-2-1-1-21-2-12-10000222020000-2-211-2-2111-21-1110200000-1-12-10-1020011110-200-10-10-1000100
χ29222-122-122-12-12-1-12-122220022-1-1-122-1-1200220022022-1-10000-1-122-1-12-1-1-120000-1-100-12-1020-1-100-1-1200-100-1-1000-1000
χ30222-122-122-12-12-1-12-1222200-2-2-1-1-122-1-1200-2-200-22022-1-1000011-2-2-1-12-1-1-1-2000011001-2-1020-1-10011-2001001-10001000
χ31222-122-122-12-12-1-12-122-2-20022-1-1-122-1-1200-2-2002-20-2-2110000-1-122-1-12-1-1-1-200001100-1210-201100-1-1-200100-110001000
χ32222-122-122-12-12-1-12-122-2-200-2-2-1-1-122-1-12002200-2-20-2-211000011-2-2-1-12-1-1-120000-1-1001-210-20110011200-10011000-1000
χ33222-122-122-12-1-2-1-12-122220022-1-11-2-2-1-12002200-2-2022-1-10000-1-12211-2-11120000-1-1001-210-20-1-100-1-1-200-100110001000
χ34222-122-122-12-1-2-1-12-1222200-2-2-1-11-2-2-1-1200-2-2002-2022-1-1000011-2-211-2-111-200001100-1210-20-1-10011200100-11000-1000
χ35222-122-122-12-1-2-1-12-122-2-20022-1-11-2-2-1-1200-2-200-220-2-2110000-1-12211-2-111-2000011001-2-10201100-1-12001001-1000-1000
χ36222-122-122-12-1-2-1-12-122-2-200-2-2-1-11-2-2-1-12002200220-2-211000011-2-211-2-11120000-1-100-12-1020110011-200-100-1-10001000
χ3722-122222-1-1-1222-1-122-1222200-1-122-12-1-1220000022-1-122-1-12200002-1-1-1-1-1002-1-100000022-1-1-1-1-1-10000200-10-1-10000-10
χ3822-122222-1-1-1222-1-122-122-2-200-1-122-12-1-1-2-2000002-2-1-12211-2-200002-1-1-1-1-100-2110000002-2-11-1-1110000-20010-11000010
χ3922-122222-1-1-1222-1-122-1-2-22200-1-122-12-1-1-2-200000-2211-2-2-1-12200002-1-1-1-1-100-211000000-221-111-1-10000-200101-1000010
χ4022-122222-1-1-1222-1-122-1-2-2-2-200-1-122-12-1-12200000-2-211-2-211-2-200002-1-1-1-1-1002-1-1000000-2-21111110000200-10110000-10
χ4122-122222-1-1-12-22-1-122-1222200-1-1-2-212-1-12200000-2-2-1-122-1-1220000-211-111002-1-1000000-2-211-1-1-1-10000-200-1011000010
χ4222-122222-1-1-12-22-1-122-122-2-200-1-1-2-212-1-1-2-200000-22-1-12211-2-20000-211-11100-211000000-221-1-1-1110000200101-10000-10
χ4322-122222-1-1-12-22-1-122-1-2-22200-1-1-2-212-1-1-2-2000002-211-2-2-1-1220000-211-11100-2110000002-2-1111-1-1000020010-110000-10
χ4422-122222-1-1-12-22-1-122-1-2-2-2-200-1-1-2-212-1-122000002211-2-211-2-20000-211-111002-1-100000022-1-111110000-200-10-1-1000010
χ452-22220-2-2-22220-2-2-20002−22−2−i2i22-20000002-22i−2i2i−2i0002−22−22−22−2−i2i2−i2i20000000002-22i−2i2i−2i0000002−22−2−i2i2000000000−i2i20000
χ462-22220-2-2-22220-2-2-20002−22−2i2−i22-20000002-2−2i2i−2i2i0002−22−22−22−2i2−i2i2−i20000000002-2−2i2i−2i2i0000002−22−2i2−i2000000000i2−i20000
χ472-22220-2-2-22220-2-2-20002−2−22−i2i22-2000000-222i−2i−2i2i0002−22−2−22−22−i2i2−i2i2000000000-222i−2i−2i2i0000002−2−22−i2i2000000000i2−i20000
χ482-22220-2-2-22220-2-2-20002−2−22i2−i22-2000000-22−2i2i2i−2i0002−22−2−22−22i2−i2i2−i2000000000-22−2i2i2i−2i0000002−2−22i2−i2000000000−i2i20000
χ492-22220-2-2-22220-2-2-2000−222−2−i2i22-2000000-22−2i2i2i−2i000−22−222−22−2−i2i2−i2i2000000000-22−2i2i2i−2i000000−222−2−i2i2000000000i2−i20000
χ502-22220-2-2-22220-2-2-2000−222−2i2−i22-2000000-222i−2i−2i2i000−22−222−22−2i2−i2i2−i2000000000-222i−2i−2i2i000000−222−2i2−i2000000000−i2i20000
χ512-22220-2-2-22220-2-2-2000−22−22−i2i22-20000002-2−2i2i−2i2i000−22−22−22−22−i2i2−i2i20000000002-2−2i2i−2i2i000000−22−22−i2i2000000000−i2i20000
χ522-22220-2-2-22220-2-2-2000−22−22i2−i22-20000002-22i−2i2i−2i000−22−22−22−22i2−i2i2−i20000000002-22i−2i2i−2i000000−22−22i2−i2000000000i2−i20000
χ534444-2-44-244-2-20-24-2-42-4000000-2-20002-420000440000000000000000002000-400000-2-2000000000000000020000000000
χ544444-2-44-244-2-20-24-2-42-4000000-2-20002-420000-4-40000000000000000002000400000220000000000000000-20000000000
χ55444-24-4-244-24-20-2-242-4-4000000-2-200022-4004400000000000000000000200-40000-2-200000000000000000200000000000
χ56444-24-4-244-24-20-2-242-4-4000000-2-200022-400-4-400000000000000000000200400002200000000000000000-200000000000
χ57444-2-24-2-24-2-2141-2-2-2-2400004411-2-241-2-200000040000000000-2-2-2-21-2-2111000000000-2-20000000011000000100000000
χ58444-2-24-2-24-2-2141-2-2-2-240000-4-411-2-241-2-2000000-4000000000022221-2-21110000000002200000000-1-1000000-100000000
χ59444-2-24-2-24-2-21-41-2-2-2-240000441122-41-2-2000000-40000000000-2-2-2-2-1221-1-1000000000220000000011000000-100000000
χ60444-2-24-2-24-2-21-41-2-2-2-240000-4-41122-41-2-2000000400000000002222-1221-1-1000000000-2-200000000-1-1000000100000000
χ6144-244-444-2-2-2404-2-2-4-42000000-2-2000-42244000000000000000000000020000-4-2-20000000000000000000002000000000
χ6244-244-444-2-2-2404-2-2-4-42000000-2-2000-422-4-4000000000000000000000020000422000000000000000000000-2000000000
χ6344-24-244-2-2-21-24-2-214-2-2004400114-2-2-2-210000000040000-2-2-2-20000-2-21111000000000000-20-2001100000000001000000
χ6444-24-244-2-2-21-24-2-214-2-200-4-400114-2-2-2-2100000000-4000022220000-2-2111100000000000020200-1-10000000000-1000000
χ6544-24-244-2-2-21-2-4-2-214-2-200440011-422-2-2100000000-40000-2-2-2-2000022-11-1-100000000000020200110000000000-1000000
χ6644-24-244-2-2-21-2-4-2-214-2-200-4-40011-422-2-2100000000400002222000022-11-1-1000000000000-20-200-1-100000000001000000
χ6744-2-244-24-21-2-24-21-2-24-244000011-24-2-21-2000000040-2-2-2-200000000-21-211100000000000-20-20110000000000010000000
χ6844-2-244-24-21-2-24-21-2-24-2-4-4000011-24-2-21-20000000-40222200000000-21-2111000000000002020-1-100000000000-10000000
χ6944-2-244-24-21-2-2-4-21-2-24-2440000112-42-21-20000000-40-2-2-2-2000000002-121-1-10000000000020201100000000000-10000000
χ7044-2-244-24-21-2-2-4-21-2-24-2-4-40000112-42-21-20000000402222000000002-121-1-100000000000-20-20-1-10000000000010000000
χ714-444-20-42-44-2-202-420000022−22−2i22i2-2200000000004i−4i000000022−22−22−2i22i2i2−i20000000000000−2i2i00000000−22i2−i2000000000000000
χ724-444-20-42-44-2-202-420000022−222i2−2i2-220000000000−4i4i000000022−22−222i2−2i2−i2i200000000000002i−2i00000000−22−i2i2000000000000000
χ734-444-20-42-44-2-202-4200000−2222−2i22i2-220000000000−4i4i0000000−22222−2−2i22i2i2−i200000000000002i−2i000000002−2i2−i2000000000000000
χ744-444-20-42-44-2-202-4200000−22222i2−2i2-2200000000004i−4i0000000−22222−22i2−2i2−i2i20000000000000−2i2i000000002−2−i2i2000000000000000
χ754-44-2402-4-4-24-2022-400022−2200−2i22i2-22000000004i−4i0000022−22−220000i2−i2−2i22i200000000000−2i2i00000000−2200i2−i2000000000000000
χ764-44-2402-4-4-24-2022-400022−22002i2−2i2-2200000000−4i4i0000022−22−220000−i2i22i2−2i2000000000002i−2i00000000−2200−i2i2000000000000000
χ774-44-2402-4-4-24-2022-4000−222200−2i22i2-2200000000−4i4i00000−22222−20000i2−i2−2i22i2000000000002i−2i000000002−200i2−i2000000000000000
χ784-44-2402-4-4-24-2022-4000−2222002i2−2i2-22000000004i−4i00000−22222−20000−i2i22i2−2i200000000000−2i2i000000002−200−i2i2000000000000000
χ794-4-2440-4-42-2-240-42200022−2222−2200-220000004-40000000−2222−22−2222−220000000000000-220000000000−22−2200000000000000000
χ804-4-2440-4-42-2-240-42200022−22−222200-22000000-440000000−2222−222−2−222200000000000002-20000000000−222−200000000000000000
χ814-4-2440-4-42-2-240-422000−222222−2200-22000000-4400000002−2−2222−2222−2200000000000002-200000000002−2−2200000000000000000
χ824-4-2440-4-42-2-240-422000−2222−222200-220000004-400000002−2−22222−2−22220000000000000-2200000000002−22−200000000000000000
χ83888-4-4-8-4-48-4-4202-4-444-800000022000-244000000000000000000000000-200000000000000000000000000000000000000
χ8488-48-4-88-4-4-42-40-4-42-8440000002200044-2000000000000000000000000-200000000000000000000000000000000000000
χ8588-4-48-8-48-42-4-40-42-44-84000000220004-24000000000000000000000000-200000000000000000000000000000000000000
χ8688-4-4-48-4-4-42228222-4-4-4000000-1-1-4-4-4222000000000000000000000222-1-1-1000000000000000000000000000000000000
χ8788-4-4-48-4-4-4222-8222-4-4-4000000-1-1444222000000000000000000000-2-2-2-111000000000000000000000000000000000000
χ8888-4-4-4-8-4-4-42220222444000000-1-1000-2-2-20000000000000000000000001−3i33i3000000000000000000000000000000000000
χ8988-4-4-4-8-4-4-42220222444000000-1-1000-2-2-200000000000000000000000013i3−3i3000000000000000000000000000000000000
χ908-88-4-4044-8-4-420-2440000000−4i24i22-2000000000000000000000002i2−2i22i2−2i20000000000000000000000000−i2i2000000000000000
χ918-88-4-4044-8-4-420-24400000004i2−4i22-200000000000000000000000−2i22i2−2i22i20000000000000000000000000i2−i2000000000000000
χ928-8-48-40-844-42-4044-20000042−42002-20000000000000000000−2222−22220000000000000000000000000002−200000000000000000
χ938-8-48-40-844-42-4044-200000−4242002-2000000000000000000022−2222−22000000000000000000000000000−2200000000000000000
χ948-8-4-4804-842-4-404-2400042−4200002-2000000000000000−2222−2222000000000000000000000000000002−20000000000000000000
χ958-8-4-4804-842-4-404-24000−424200002-200000000000000022−2222−2200000000000000000000000000000−220000000000000000000
χ9616-16-8-8-808884440-4-4-4000000000-22000000000000000000000000000000000000000000000000000000000000000000000

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