Finite Group Databasebeta

← Group #72214811

Character table — Group #72214811

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444444444444444444444448888888888888888888888161632323232323232323636484848484848484848484848484848484848484848484848727272144144
order1223344663446666688881212121224242424242424241212121212121212121224242424242424242424242422666666662416161616161616164848484848484848484848484848484848824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ311111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1
χ51111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1
χ61111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ71111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111
χ911111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-1-11-1
χ1011111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-1-11-1
χ1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-111-11
χ1211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-111-11
χ1311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-1-11
χ1411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-1-11
χ1511111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1111-1
χ1611111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1111-1
χ172222222222-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2000000000022000000000000000000000000-22-200
χ182222222222-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-20000000000-2-20000000000000000000000002-2200
χ192222222222-2-222222-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222000000000022000000000000000000000000-2-2200
χ202222222222-2-222222-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000-2-200000000000000000000000022-200
χ212222-1222-1-1222-1-1-1-1222222-1-122-1-122-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1222-12-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-100000
χ222222-1222-1-1222-1-1-1-1222222-1-122-1-122-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1222-12-1-1-1-1-1000000-2-2-2-2000000001111111100000
χ232222-1222-1-1222-1-1-1-1222222-1-122-1-122-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-21-21111100000022-2-200000000-1-1-1-1111100000
χ242222-1222-1-1222-1-1-1-1222222-1-122-1-122-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-21-211111000000-2-222000000001111-1-1-1-100000
χ252222-1222-1-1222-1-1-1-1-2-2-2-222-1-1-2-211-2-21122-1-1-1-1-1-1-1-1-21-21111111112-22-1-21-1-1110000002i−2i2i−2i00000000−i−iii−i−iii00000
χ262222-1222-1-1222-1-1-1-1-2-2-2-222-1-1-2-211-2-21122-1-1-1-1-1-1-1-1-21-21111111112-22-1-21-1-111000000−2i2i−2i2i00000000ii−i−iii−i−i00000
χ272222-1222-1-1222-1-1-1-1-2-2-2-222-1-1-2-211-2-21122-1-1-1-1-1-1-1-1-21-2111111111-22-212-111-1-10000002i−2i−2i2i00000000−i−iiiii−i−i00000
χ282222-1222-1-1222-1-1-1-1-2-2-2-222-1-1-2-211-2-21122-1-1-1-1-1-1-1-1-21-2111111111-22-212-111-1-1000000−2i2i2i−2i00000000ii−i−i−i−iii00000
χ29222-1222-12-122-12-1-1-12222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-12-1-1-1-10022220000-1-1-1-1-1-1-1-10000000000000
χ30222-1222-12-122-12-1-1-12222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-12-1-1-1-100-2-2-2-20000111111110000000000000
χ31222-1222-12-122-12-1-1-12222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-21-21-211110022-2-20000-1-1-1-111110000000000000
χ32222-1222-12-122-12-1-1-12222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-21-21-2111100-2-22200001111-1-1-1-10000000000000
χ33222-1222-12-122-12-1-1-1-2-2-2-2-1-12211-2-211-2-2-1-122-1-1-1-1-1-11-21-2111111112-2-121-2-1-111002i−2i2i−2i0000−i−iii−i−iii0000000000000
χ34222-1222-12-122-12-1-1-1-2-2-2-2-1-12211-2-211-2-2-1-122-1-1-1-1-1-11-21-2111111112-2-121-2-1-11100−2i2i−2i2i0000ii−i−iii−i−i0000000000000
χ35222-1222-12-122-12-1-1-1-2-2-2-2-1-12211-2-211-2-2-1-122-1-1-1-1-1-11-21-211111111-221-2-1211-1-1002i−2i−2i2i0000−i−iiiii−i−i0000000000000
χ36222-1222-12-122-12-1-1-1-2-2-2-2-1-12211-2-211-2-2-1-122-1-1-1-1-1-11-21-211111111-221-2-1211-1-100−2i2i2i−2i0000ii−i−i−i−iii0000000000000
χ3744444-4-444400444440000-4-4-4-40000000000000000-4-400000000000000000000004-400000000000000000000000000000
χ3844444-4-444400444440000-4-4-4-40000000000000000-4-40000000000000000000000-4400000000000000000000000000000
χ394444-2444-2-2-4-44-2-2-2-244-4-444-2-244-2-2-4-422-4-4222222-2-24-2-42-2-2-2-2222200000000000000000000000000000000000000000
χ404444-2444-2-2-4-44-2-2-2-2-4-44444-2-2-4-42244-2-2-4-4222222-2-2-424-22222-2-2-2-200000000000000000000000000000000000000000
χ41444-2444-24-2-4-4-24-2-2-244-4-4-2-244-2-24422-4-422-4-42222-2-2-242-4-2-2-2-2222200000000000000000000000000000000000000000
χ42444-2444-24-2-4-4-24-2-2-2-4-444-2-24422-4-4-2-24422-4-42222-2-22-4-242222-2-2-2-200000000000000000000000000000000000000000
χ43444-2-244-2-2144-2-21114444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-21111111144-2-2-2-211110000000000000000000000000000000
χ44444-2-244-2-2144-2-21114444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-211111111-4-42222-1-1-1-10000000000000000000000000000000
χ45444-2-244-2-2144-2-2111-4-4-4-4-2-2-2-222222222-2-2-2-21111112222-1-1-1-1-1-1-1-14-4-2-22211-1-10000000000000000000000000000000
χ46444-2-244-2-2144-2-2111-4-4-4-4-2-2-2-222222222-2-2-2-21111112222-1-1-1-1-1-1-1-1-4422-2-2-1-1110000000000000000000000000000000
χ47444-2-244-2-21-4-4-2-211144-4-4-2-2-2-2-2-2-2-222222222-1-1-1-111-2-2221111-1-1-1-10000003-33-30000000000000000000000000000000
χ48444-2-244-2-21-4-4-2-211144-4-4-2-2-2-2-2-2-2-222222222-1-1-1-111-2-2221111-1-1-1-1000000-33-330000000000000000000000000000000
χ49444-2-244-2-21-4-4-2-2111-4-444-2-2-2-22222-2-2-2-22222-1-1-1-11122-2-2-1-1-1-111110000003-3-330000000000000000000000000000000
χ50444-2-244-2-21-4-4-2-2111-4-444-2-2-2-22222-2-2-2-22222-1-1-1-11122-2-2-1-1-1-11111000000-333-30000000000000000000000000000000
χ5144-4444-444400-4-44-4-4004-44-44-4000044-4-4000000004-400-44000044-4-400000000000000000000000000000000000000000
χ5244-4444-444400-4-44-4-400-444-44-40000-4-444000000004-4004-40000-4-44400000000000000000000000000000000000000000
χ5344-444-4444400-4-44-4-44-400-44-4444-4-4000000000000-44-440044-4-4000000000000000000000000000000000000000000000
χ5444-444-4444400-4-44-4-4-4400-44-44-4-444000000000000-444-400-4-444000000000000000000000000000000000000000000000
χ5544-44-24-44-2-200-42-222004-44-4-220000442200000000-2200-4-20000-2-22200000000000000000000000000006−66−6000000000
χ5644-44-24-44-2-200-42-222004-44-4-220000442200000000-2200-4-20000-2-2220000000000000000000000000000−66−66000000000
χ5744-44-24-44-2-200-42-22200-444-4-220000-4-4-2-200000000-220042000022-2-20000000000000000000000000000i6−i6−i6i6000000000
χ5844-44-24-44-2-200-42-22200-444-4-220000-4-4-2-200000000-220042000022-2-20000000000000000000000000000−i6i6i6−i6000000000
χ5944-44-2-444-2-200-42-2224-400-442-244220000000000002-2-4-200-2-2220000000000000000000000000000000000006−66−600000
χ6044-44-2-444-2-200-42-2224-400-442-244220000000000002-2-4-200-2-222000000000000000000000000000000000000−66−6600000
χ6144-44-2-444-2-200-42-222-4400-442-2-4-4-2-20000000000002-2420022-2-2000000000000000000000000000000000000i6−i6−i6i600000
χ6244-44-2-444-2-200-42-222-4400-442-2-4-4-2-20000000000002-2420022-2-2000000000000000000000000000000000000−i6i6i6−i600000
χ6344-4-244-4-24-2002-4-222004-4-224-40000-2-2-4-400000000-2200240000-2-22200000000000000000000i6−i6i6−i600000000000000000
χ6444-4-244-4-24-2002-4-222004-4-224-40000-2-2-4-400000000-2200240000-2-22200000000000000000000−i6i6−i6i600000000000000000
χ6544-4-244-4-24-2002-4-22200-44-224-40000224400000000-2200-2-4000022-2-2000000000000000000006−6−6600000000000000000
χ6644-4-244-4-24-2002-4-22200-44-224-40000224400000000-2200-2-4000022-2-200000000000000000000−666−600000000000000000
χ6744-4-24-44-24-2002-4-2224-4002-2-44-2-2-4-40000000000002-22400-2-2220000000000000000000000000000i6−i6i6−i60000000000000
χ6844-4-24-44-24-2002-4-2224-4002-2-44-2-2-4-40000000000002-22400-2-2220000000000000000000000000000−i6i6−i6i60000000000000
χ6944-4-24-44-24-2002-4-222-44002-2-4422440000000000002-2-2-40022-2-200000000000000000000000000006−6−660000000000000
χ7044-4-24-44-24-2002-4-222-44002-2-4422440000000000002-2-2-40022-2-20000000000000000000000000000−666−60000000000000
χ718888-4-8-88-4-4008-4-4-4-40000-8-84400000000000000004400000000000000000000000000000000000000000000000000000
χ72888-48-8-8-48-400-48-4-4-4000044-8-800000000000000004400000000000000000000000000000000000000000000000000000
χ73888-4-4-8-8-4-4200-4-42220000444400000000000066-6-6-2-200000000000000000000000000000000000000000000000000000
χ74888-4-4-8-8-4-4200-4-422200004444000000000000-6-666-2-200000000000000000000000000000000000000000000000000000
χ7588-8-4-48-8-4-4200442-2-2008-8-44-440000-4-444000000002-2004-4000022-2-200000000000000000000000000000000000000000
χ7688-8-4-48-8-4-4200442-2-200-88-44-44000044-4-4000000002-200-440000-2-22200000000000000000000000000000000000000000
χ7788-8-4-4-88-4-4200442-2-28-8004-44-4-4-444000000000000-224-40022-2-2000000000000000000000000000000000000000000000
χ7888-8-4-4-88-4-4200442-2-2-88004-44-444-4-4000000000000-22-4400-2-222000000000000000000000000000000000000000000000
χ798-808800-8-884-400-80000000000000000004-44-44-44-40000000000000000000000000000000000000000000000000000000
χ808-808800-8-88-4400-8000000000000000000-44-44-44-440000000000000000000000000000000000000000000000000000000
χ818-808-400-84-44-40040000000000002i6−2i6002i6−2i64-4-22-22-22000000002i6−2i6002i6−2i600000000000000000000000000000000000000000
χ828-808-400-84-44-4004000000000000−2i62i600−2i62i64-4-22-22-2200000000−2i62i600−2i62i600000000000000000000000000000000000000000
χ838-808-400-84-4-440040000000000002i6−2i600−2i62i6-442-22-22-2000000002i6−2i600−2i62i600000000000000000000000000000000000000000
χ848-808-400-84-4-44004000000000000−2i62i6002i6−2i6-442-22-22-200000000−2i62i6002i6−2i600000000000000000000000000000000000000000
χ858-80-48004-8-44-400400000000002i6−2i6002i6−2i600-224-4-22-220000002i6−2i6002i6−2i60000000000000000000000000000000000000000000
χ868-80-48004-8-44-40040000000000−2i62i600−2i62i600-224-4-22-22000000−2i62i600−2i62i60000000000000000000000000000000000000000000
χ878-80-48004-8-4-4400400000000002i6−2i600−2i62i6002-2-442-22-20000002i6−2i600−2i62i60000000000000000000000000000000000000000000
χ888-80-48004-8-4-440040000000000−2i62i6002i6−2i6002-2-442-22-2000000−2i62i6002i6−2i60000000000000000000000000000000000000000000
χ898-80-4-4004424-400-26-6000000002i6−2i62i6−2i62i6−2i62i6−2i6-22-224-4-22000000−i6i6−i6i6−i6i6−i6i600000000000000000000000000000000000000000
χ908-80-4-4004424-400-26-600000000−2i62i6−2i62i6−2i62i6−2i62i6-22-224-4-22000000i6−i6i6−i6i6−i6i6−i600000000000000000000000000000000000000000
χ918-80-4-4004424-400-2-66000000002i6−2i6−2i62i62i6−2i6−2i62i6-22-22-224-4000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000000
χ928-80-4-4004424-400-2-6600000000−2i62i62i6−2i6−2i62i62i6−2i6-22-22-224-4000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000000
χ938-80-4-400442-4400-26-6000000002i6−2i62i6−2i6−2i62i6−2i62i62-22-2-442-2000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000000
χ948-80-4-400442-4400-26-600000000−2i62i6−2i62i62i6−2i62i6−2i62-22-2-442-2000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000000
χ958-80-4-400442-4400-2-66000000002i6−2i6−2i62i6−2i62i62i6−2i62-22-22-2-44000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000000
χ968-80-4-400442-4400-2-6600000000−2i62i62i6−2i62i6−2i6−2i62i62-22-22-2-44000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000000000000

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