Finite Group Databasebeta

← Group #11865054

Character table — Group #11865054

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446612121212366666666612121212121212121212246666666666121212121212121212122222444466668888121212122424242424242424222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ911-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-11-11-11-11-11-11-11-11-11-11-111-1-111-1-111-1-11-1
χ1011-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-11-1-111-1-111-1-111-1-111-1-1111-1-1-1-111-1-111-11
χ1111-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11111-1-1-1-111-11
χ1211-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-11-11-11-11-11-11-11-11-11-11-1-111-1-11111-1-11-1
χ1311-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111111111111-11-11-11-11-11-1-11-111-11-1-1-111-1-11111-1-1-11
χ1411-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-111-1-11-111-11-1-11-1-11111-1-1-1-1111-1
χ1511-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-111-1-111-1-111-11-1-11-111-111-1-1-1-111-1-1111-1
χ1611-1-1111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-11-11-11-11-11-111-11-1-11-1111-1-111-1-111-1-1-11
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000002-22-200
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000-22-2200
χ19222222-122222-122-1-1-12-122-1-1-1-1-12-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10022002200-1-1002200-1-10000-1-1-1-1000000
χ20222222-122222-122-1-1-12-122-1-1-1-1-12-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-2001100-2-2001100001111000000
χ21222222-122222-122-1-1-12-122-1-1-1-1-12-12-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-111110022002200-1-100-2-200-1-100001111000000
χ22222222-122222-122-1-1-12-122-1-1-1-1-12-12-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-1111100-2-200-2-20011002200110000-1-1-1-1000000
χ2322222-122222-12-1-122-1-12-1-122-1-1-1-12-12-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122002200-1-1002200-1-100-1-1-1-10000000000
χ2422222-122222-12-1-122-1-12-1-122-1-1-1-12-12-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2001100-2-200110011110000000000
χ2522222-122222-12-1-122-1-12-1-122-1-1-1-12-12-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111122002200-1-100-2-200-1-10011110000000000
χ2622222-122222-12-1-122-1-12-1-122-1-1-1-12-12-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111-2-200-2-200110022001100-1-1-1-10000000000
χ27222-2-2222-22-22222-2-22-2-22-22-2-2-222-2-2222-2-2-220000002-2000000002-20000002200-2-20022000000-2-200000000000000
χ28222-2-2222-22-22222-2-22-2-22-22-2-2-222-2-2222-2-2-220000002-2000000002-2000000-2-2002200-2-20000002200000000000000
χ29222-2-222-22-2222-2-2222-2-22-22-2-2-22-222-2-2-2222-20000002-200000000-2200002200-2-20022000000-2-20000000000000000
χ30222-2-222-22-2222-2-2222-2-22-22-2-2-22-222-2-2-2222-20000002-200000000-220000-2-2002200-2-2000000220000000000000000
χ31222-2-22-12-22-22-12211-1-212-2-1111-121-2-1-1-111-2-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i3002200-2-200-1-1000000110000−i3i3−i3i3000000
χ32222-2-22-12-22-22-12211-1-212-2-1111-121-2-1-1-111-2-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i300-2-200220011000000-1-10000i3−i3i3−i3000000
χ33222-2-22-12-22-22-12211-1-212-2-1111-121-2-1-1-111-2-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i3002200-2-200-1-1000000110000i3−i3i3−i3000000
χ34222-2-22-12-22-22-12211-1-212-2-1111-121-2-1-1-111-2-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i300-2-200220011000000-1-10000−i3i3−i3i3000000
χ35222-2-2-12-22-22-121122-11-2-112-211-112-1-211-1-1-1-200−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i32200-2-200-1-10000001100−i3i3−i3i30000000000
χ36222-2-2-12-22-22-121122-11-2-112-211-112-1-211-1-1-1-200−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i3-2-200220011000000-1-100i3−i3i3−i30000000000
χ37222-2-2-12-22-22-121122-11-2-112-211-112-1-211-1-1-1-200i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i32200-2-200-1-10000001100i3−i3i3−i30000000000
χ38222-2-2-12-22-22-121122-11-2-112-211-112-1-211-1-1-1-200i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i3-2-200220011000000-1-100−i3i3−i3i30000000000
χ3922-22-2222-2-222222-2-22-2-2-22-22-2-22-22-2222-2-22-2000000-2200000000-2200002-200-22002-2000000-220000000000000000
χ4022-22-2222-2-222222-2-22-2-2-22-22-2-22-22-2222-2-22-2000000-2200000000-220000-22002-200-220000002-20000000000000000
χ4122-22-222-222-222-2-2222-2-2-22-22-2-222-22-2-2-222-22000000-22000000002-20000002-200-22002-2000000-2200000000000000
χ4222-22-222-222-222-2-2222-2-2-22-22-2-222-22-2-2-222-22000000-22000000002-2000000-22002-200-220000002-200000000000000
χ4322-22-22-1-222-22-1-2-2-1-1-1-21-221-111-1212111-1-1-2-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i3002-200-2200-110000001-10000−i3i3i3−i3000000
χ4422-22-22-1-222-22-1-2-2-1-1-1-21-221-111-1212111-1-1-2-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i300-22002-2001-1000000-110000i3−i3−i3i3000000
χ4522-22-22-1-222-22-1-2-2-1-1-1-21-221-111-1212111-1-1-2-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i3002-200-2200-110000001-10000i3−i3−i3i3000000
χ4622-22-22-1-222-22-1-2-2-1-1-1-21-221-111-1212111-1-1-2-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i300-22002-2001-1000000-110000−i3i3i3−i3000000
χ4722-22-2-122-2-22-12-1-1-2-2-11-21-1-2211-11212-1-111-1-200−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i32-200-2200-110000001-100−i3i3i3−i30000000000
χ4822-22-2-122-2-22-12-1-1-2-2-11-21-1-2211-11212-1-111-1-200−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i3-22002-2001-1000000-1100i3−i3−i3i30000000000
χ4922-22-2-122-2-22-12-1-1-2-2-11-21-1-2211-11212-1-111-1-200i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i32-200-2200-110000001-100i3−i3−i3i30000000000
χ5022-22-2-122-2-22-12-1-1-2-2-11-21-1-2211-11212-1-111-1-200i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i3-22002-2001-1000000-1100−i3i3i3−i30000000000
χ5122-2-222222-2-2222222222-2-2-2-2222-2-2222222-2-2000000-2-200000000-2-2000000000000000000000000000000002-2-2200
χ5222-2-222222-2-2222222222-2-2-2-2222-2-2222222-2-2000000-2-200000000-2-200000000000000000000000000000000-222-200
χ5322-2-222-1-2-2222-1-2-211-12-1-2-211-1-1-12-1-2111112-12-222-1-111-1-1-1-1-2-211-1-11111002-2002-200-11002-200-110000-1-111000000
χ5422-2-222-1-2-2222-1-2-211-12-1-2-211-1-1-12-1-2111112-12-222-1-111-1-1-1-1-2-211-1-1111100-2200-22001-100-22001-1000011-1-1000000
χ5522-2-222-1-2-2222-1-2-211-12-1-2-211-1-1-12-1-2111112-1-22-2-21111111122-1-1-1-1-1-1-1-1002-2002-200-1100-2200-11000011-1-1000000
χ5622-2-222-1-2-2222-1-2-211-12-1-2-211-1-1-12-1-2111112-1-22-2-21111111122-1-1-1-1-1-1-1-100-2200-22001-1002-2001-10000-1-111000000
χ5722-2-22-12-2-222-1211-2-2-1-1211-2-2-1-1-1-121-21111-122-2-1-12211-1-1-1-111-2-2-1-111112-2002-200-11002-200-1100-1-1110000000000
χ5822-2-22-12-2-222-1211-2-2-1-1211-2-2-1-1-1-121-21111-122-2-1-12211-1-1-1-111-2-2-1-11111-2200-22001-100-22001-10011-1-10000000000
χ5922-2-22-12-2-222-1211-2-2-1-1211-2-2-1-1-1-121-21111-12-2211-2-2111111-1-122-1-1-1-1-1-12-2002-200-1100-2200-110011-1-10000000000
χ6022-2-22-12-2-222-1211-2-2-1-1211-2-2-1-1-1-121-21111-12-2211-2-2111111-1-122-1-1-1-1-1-1-2200-22001-1002-2001-100-1-1110000000000
χ61444444-2-4-4-4-44-2-4-422-24-244-2-2-2-2-2-42-422222-42000000-2-2000000002200000000000000000000000000000000000000
χ6244444-24-4-4-4-4-2422-4-4-2-24-2-244-2-2-22-42-422222-4000000-2-2000000002200000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-21111-2-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-21111-2-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2-2-21112222-1-1-1-122000000113-3-330000-1-13-3-330000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-222221-2-2-2-2-2-21112222-1-1-1-12200000011-333-30000-1-1-333-30000000000000000000000000000000000
χ67444-4-44-2-44-444-2-4-4-2-2-2-424-4-2222-2-4-24222-2-242000000-22000000002-200000000000000000000000000000000000000
χ68444-4-4-244-44-4-24-2-2-4-4-22-4-224-422-2-2-424-2-22224000000-2200000000-2200000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-222122-22-22-1-11-222-211-1-12-20000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-222122-22-22-1-11-222-211-1-12-200002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-222-2-2122-22-22-1-112-2-22-1-111-2200−2i32i3001-1i3−i3i3−i3−2i32i300-11i3−i3i3−i30000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-222-2-2122-22-22-1-112-2-22-1-111-22002i3−2i3001-1−i3i3−i3i32i3−2i300-11−i3i3−i3i30000000000000000000000000000000000
χ7344-44-44-24-4-444-24422-2-42-442-222-2-4-2-4-2-2-222420000002-2000000002-200000000000000000000000000000000000000
χ7444-44-4-24-444-4-242244-22-42-2-4422-2-2-4-2-422-2-2240000002-200000000-2200000000000000000000000000000000000000
χ7544-44-4-2-24-4-44-2-2-2-2221222-22-2-1-112-22-211-1-1-2200−2i32i300-11i3−i3i3−i32i3−2i300-11−i3i3−i3i30000000000000000000000000000000000
χ7644-44-4-2-24-4-44-2-2-2-2221222-22-2-1-112-22-211-1-1-22002i3−2i300-11−i3i3−i3i3−2i32i300-11i3−i3i3−i30000000000000000000000000000000000
χ7744-44-4-2-2-444-4-2-222-2-21222-22-2-1-11-22-22-1-1112-20000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000
χ7844-44-4-2-2-444-4-2-222-2-21222-22-2-1-11-22-22-1-1112-200002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i30000000000000000000000000000000000
χ7944-4-444-244-4-44-244-2-2-24-2-4-422-2-2-2-424-2-2-2-2-2-4200000022000000002200000000000000000000000000000000000000
χ8044-4-44-2444-4-4-24-2-244-2-2422-4-4-2-2-22-4-24-2-2-2-22-400000022000000002200000000000000000000000000000000000000
χ8144-4-44-2-244-4-4-2-2-2-2-2-21-2-2222211122-2-2111122000000-1-13-3-330000-1-1-333-30000000000000000000000000000000000
χ8244-4-44-2-244-4-4-2-2-2-2-2-21-2-2222211122-2-2111122000000-1-1-333-30000-1-13-3-330000000000000000000000000000000000
χ8344-4-44-2-2-4-444-2-222221-2-22222111-2-222-1-1-1-1-2-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ8444-4-44-2-2-4-444-2-222221-2-22222111-2-222-1-1-1-1-2-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ858-8000880000-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-400000000400000043−430000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-4000000004000000−43430000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-4000000004000043−43000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-40000000040000−4343000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−4320000006-6-20000−2323−23230000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−43432000000-66-20000−232323−230000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−432000000-66-2000023−23−23230000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−434320000006-6-2000023−2323−230000000000000000000000000000000000000000000000000000000000

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