Finite Group Databasebeta

← Group #11886637

Character table — Group #11886637

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222222444444444488888888888888888121212121212121216161616161624242424242424242424242436363636484848487272
order122334466366666121212122446612121212121212121212121222224444666121212666688881212121288882424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1111-1111-1-1-1111-1-1-11-1111-111-1-1-1-11-11-1
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-11111-1-1-111-11-1-1-1111-11-1-111-1-1-11-11
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11-1111-1-1-1-1-11-1111-1-1-11-1-1-111111-1-11
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-11111-1-1-1-1-1-1111-11-1-1-1111-1-111-111-1
χ91111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1111-111-1-1-11111-1111-1-1-11-11111-1-11-1-1-1-11
χ101111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-11111-1-1-11-1111-1-1-1-1-1111-1111-1
χ111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1111-1111-1-1-1111-1111-11-1-1-1111-1-111-11-1-11-1
χ121111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-11-1-1-11-1-1-1-1-1111-11-1-1-1111-11-1-111-1-1-1111-11
χ131111111111111111111-1-11-1-1-1-111111111111-11-11-11-1-1-1-1-1-1-11-11-1-11-111-11-11111-11-11-1-1
χ141111111111111111111-1-11-1-1-1-111111111111-1-111-1-11-1-1-1-1-1-11-1-11-111-11-1-11-1-1-1-1-111-111
χ151111111111111111111-1-11-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-111-11-1-11-111-1-1-1-1-11-1-1111
χ161111111111111111111-1-11-1-1-1-11111111111-11-11-11-11-1-1-1-1-1-1-11-111-11-1-11-1111111-11-1-1-1
χ172222-1222-1-12-1-1-1-122-1-122222-1-122-1-1-1-1-1-1-1-100220022-1-1-12-1-100-1-1002200-1-1000000-1-100
χ182222-1222-1-12-1-1-1-122-1-122222-1-122-1-1-1-1-1-1-1-100-2-200-2-2-1-1-12-1-1001100-2-200110000001100
χ192222-1222-1-12-1-1-1-122-1-12-2-22211-2-2111111-1-1002-2002-2-1-1-1-21100-11002-200-11000000-1100
χ202222-1222-1-12-1-1-1-122-1-12-2-22211-2-2111111-1-100-2200-22-1-1-1-211001-100-22001-10000001-100
χ212222-1222-1-12-1-1-1-122-1-1-22-2-2-2-1-1-2-2111111-1-1002200221112-1-100-1-100-2-200-1-10000001100
χ222222-1222-1-12-1-1-1-122-1-1-22-2-2-2-1-1-2-2111111-1-100-2-200-2-21112-1-1001100220011000000-1-100
χ232222-1222-1-12-1-1-1-122-1-1-2-22-2-21122-1-1-1-1-1-1-1-1002-2002-2111-21100-1100-2200-110000001-100
χ242222-1222-1-12-1-1-1-122-1-1-2-22-2-21122-1-1-1-1-1-1-1-100-2200-22111-211001-1002-2001-1000000-1100
χ25222-1222-12-1-12-1-1-1-1-122222-1-122-1-122-1-1-1-1-1-1220022002-1-1-1-1-1-1-1002200-1-1000000-1-10000
χ26222-1222-12-1-12-1-1-1-1-122222-1-122-1-122-1-1-1-1-1-1-2-200-2-2002-1-1-1-1-11100-2-20011000000110000
χ27222-1222-12-1-12-1-1-1-1-1222-2-2-1-1-2-211-2-21111-1-1220022002-1-1111-1-100-2-200-1-1000000110000
χ28222-1222-12-1-12-1-1-1-1-1222-2-2-1-1-2-211-2-21111-1-1-2-200-2-2002-1-11111100220011000000-1-10000
χ29222-1222-12-1-12-1-1-1-1-122-22-2112211-2-21111-1-12-2002-200-211-1-1-1-11002-200-11000000-110000
χ30222-1222-12-1-12-1-1-1-1-122-22-2112211-2-21111-1-1-2200-2200-211-1-1-11-100-22001-10000001-10000
χ31222-1222-12-1-12-1-1-1-1-122-2-2211-2-2-1-122-1-1-1-1-1-12-2002-200-211111-1100-2200-110000001-10000
χ32222-1222-12-1-12-1-1-1-1-122-2-2211-2-2-1-122-1-1-1-1-1-1-2200-2200-2111111-1002-2001-1000000-110000
χ3322-2222-2222-2-2-2-222-22-20000000000000002-202020-20-2000000020200000-20-2002-2000000
χ3422-2222-2222-2-2-2-222-22-20000000000000002-2020-20-202000000020-200000-20200-22000000
χ3522-2222-2222-2-2-2-222-22-20000000000000002-20-202020-20000000-2020000020-200-22000000
χ3622-2222-2222-2-2-2-222-22-20000000000000002-20-20-202020000000-20-200000202002-2000000
χ3722-222-22222-2-2-2-22-22-22000000000000000-222020-20-2000000020200000-20-202-200000000
χ3822-222-22222-2-2-2-22-22-22000000000000000-2220-20-202000000020-200000-2020-2200000000
χ3922-222-22222-2-2-2-22-22-22000000000000000-22-202020-20000000-2020000020-20-2200000000
χ4022-222-22222-2-2-2-22-22-22000000000000000-22-20-202020000000-20-20000020202-200000000
χ4144444-4-444444444-4-4-4-4000000000000000-4-4000000000000000000000000000000000000
χ424444-2-4-44-2-24-2-2-2-2-4-42200000−2i32i30000000022000000000000−2i32i30000000000000000000000
χ434444-2-4-44-2-24-2-2-2-2-4-422000002i3−2i300000000220000000000002i3−2i30000000000000000000000
χ44444-24-4-4-24-2-24-2-2-222-4-4000−2i32i3000000000022000000000−2i32i30000000000000000000000000
χ45444-24-4-4-24-2-24-2-2-222-4-40002i3−2i30000000000220000000002i3−2i30000000000000000000000000
χ46444-2-244-2-21-2-2111-2-2-2-2444-2-2-2-2-2-2-2-211111100000000-211-2110000000000000000000000
χ47444-2-244-2-21-2-2111-2-2-2-24-4-4-2-2222222-1-1-1-11100000000-2112-1-10000000000000000000000
χ48444-2-244-2-21-2-2111-2-2-2-2-44-422-2-22222-1-1-1-111000000002-1-1-2110000000000000000000000
χ49444-2-244-2-21-2-2111-2-2-2-2-4-442222-2-2-2-2111111000000002-1-12-1-10000000000000000000000
χ50444-2-2-4-4-2-21-2-21112222000−2i32i3−2i32i3000033-3-3-1-1000000000i3−i30i3−i30000000000000000000000
χ51444-2-2-4-4-2-21-2-21112222000−2i32i32i3−2i30000-3-333-1-1000000000i3−i30−i3i30000000000000000000000
χ52444-2-2-4-4-2-21-2-211122220002i3−2i3−2i32i30000-3-333-1-1000000000−i3i30i3−i30000000000000000000000
χ53444-2-2-4-4-2-21-2-211122220002i3−2i32i3−2i3000033-3-3-1-1000000000−i3i30−i3i30000000000000000000000
χ5444-44-24-44-2-2-4222-24-4-22000000000000000-220004000-4000000000-2000000020000000000
χ5544-44-24-44-2-2-4222-24-4-22000000000000000-22000-4000400000000020000000-20000000000
χ5644-44-2-444-2-2-4222-2-442-20000000000000002-2004000-4000000000-20000000200000000000
χ5744-44-2-444-2-2-4222-2-442-20000000000000002-200-4000400000000020000000-200000000000
χ5844-4-244-4-24-22-422-2-224-4000000000000000-2204000-4000000000-200000002000000000000
χ5944-4-244-4-24-22-422-2-224-4000000000000000-220-4000400000000020000000-2000000000000
χ6044-4-24-44-24-22-422-22-2-440000000000000002-24000-4000000000-2000000020000000000000
χ6144-4-24-44-24-22-422-22-2-440000000000000002-2-4000400000000020000000-20000000000000
χ6288-8-4-48-8-4-4244-2-22-44-440000000000000002-2000000000000000000000000000000000000
χ6388-8-4-4-88-4-4244-2-224-44-4000000000000000-22000000000000000000000000000000000000
χ648-808800-8-880000-8000000000000000000000000000000000000000000000000000000000
χ658-808-400-84-400004000000000000023−2323−2323−2300000000000000000000000000000000000000
χ668-808-400-84-4000040000000000000−2323−2323−232300000000000000000000000000000000000000
χ678-80-48004-8-4000040000000000023−230023−23−232300000000000000000000000000000000000000
χ688-80-48004-8-40000400000000000−232300−232323−2300000000000000000000000000000000000000
χ698-80-4-400442006-6-20000000000023−2323−23−23230000000000000000000000000000000000000000
χ708-80-4-400442006-6-200000000000−2323−232323−230000000000000000000000000000000000000000
χ718-80-4-40044200-66-20000000000023−23−23230023−2300000000000000000000000000000000000000
χ728-80-4-40044200-66-200000000000−232323−2300−232300000000000000000000000000000000000000

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