Finite Group Databasebeta

← Group #11798748

Character table — Group #11798748

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222444444444488888888888888888881616161616242424242424242424242424242424242424484848144144
order122336666344466661212246612121212121212121212121212121266612122224446666661212121212128242488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1111-1111-11111-1-111-1-111-1-1-11-1
χ61111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1111-1-1-11-1-1-111-1-111-1-1-1-1111-11
χ71111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-111-1111-1111-1-111-1-11111-1-1-1-11
χ81111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-111-11-1-1-11-1-1-1-111-1-111-1-11111-1
χ922222222222-2-22222222-2222-2-2-2-2-2-2-2-2-2-2-2-222222-2-200000000000000000000000
χ1022222222222-2-2222222-22-2-22-2-222-2-222222222-2-2-2-2-200000000000000000000000
χ112222222222-22-22222-2-20000-22-2002-2000000-2-20002-202000-200002200-2-20000000
χ122222222222-22-22222-2-20000-22-2002-2000000-2-20002-20-200020000-2-200220000000
χ132222222222-2-222222-2-20000-2-2200-22000000-2-2000-222000-20002200-2-2000000000
χ142222222222-2-222222-2-20000-2-2200-22000000-2-2000-22-20002000-2-20022000000000
χ152222-1-1-1-12-12222-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-122002200-1-1-1-1-1-1-1-10000000
χ162222-1-1-1-12-12222-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-2-200-2-200111111110000000
χ172222-1-1-1-12-12222-1-1-122-2-211-1-1-11122-2-21111-1-1-211-1-12-2002-200-1-111-1-1110000000
χ182222-1-1-1-12-12222-1-1-122-2-211-1-1-11122-2-21111-1-1-211-1-1-2200-220011-1-111-1-10000000
χ192222-1-1-1-12-12-2-22-1-1-1222-2-1-1-11111-2-2-2-21111-1-12-1-11100000000−i3i3−i3i3−i3i3−i3i30000000
χ202222-1-1-1-12-12-2-22-1-1-1222-2-1-1-11111-2-2-2-21111-1-12-1-11100000000i3−i3i3−i3i3−i3i3−i30000000
χ212222-1-1-1-12-12-2-22-1-1-122-2211-111-1-1-2-222-1-1-1-1-1-1-2111100000000−i3i3i3−i3−i3i3i3−i30000000
χ222222-1-1-1-12-12-2-22-1-1-122-2211-111-1-1-2-222-1-1-1-1-1-1-2111100000000i3−i3−i3i3i3−i3−i3i30000000
χ232222-1-1-1-12-1-22-22-1-1-1-2-200−i3i31-11−i3i32-200−i3−i3i3i3110−i3i3-1102000-200−i3i3-1-1i3−i3110000000
χ242222-1-1-1-12-1-22-22-1-1-1-2-200−i3i31-11−i3i32-200−i3−i3i3i3110−i3i3-110-2000200i3−i311−i3i3-1-10000000
χ252222-1-1-1-12-1-22-22-1-1-1-2-200i3−i31-11i3−i32-200i3i3−i3−i3110i3−i3-1102000-200i3−i3-1-1−i3i3110000000
χ262222-1-1-1-12-1-22-22-1-1-1-2-200i3−i31-11i3−i32-200i3i3−i3−i3110i3−i3-110-2000200−i3i311i3−i3-1-10000000
χ272222-1-1-1-12-1-2-222-1-1-1-2-200−i3i311-1i3−i3-2200i3i3−i3−i3110−i3i31-12000-2000-1-1−i3i311i3−i30000000
χ282222-1-1-1-12-1-2-222-1-1-1-2-200−i3i311-1i3−i3-2200i3i3−i3−i3110−i3i31-1-2000200011i3−i3-1-1−i3i30000000
χ292222-1-1-1-12-1-2-222-1-1-1-2-200i3−i311-1−i3i3-2200−i3−i3i3i3110i3−i31-12000-2000-1-1i3−i311−i3i30000000
χ302222-1-1-1-12-1-2-222-1-1-1-2-200i3−i311-1−i3i3-2200−i3−i3i3i3110i3−i31-1-2000200011−i3i3-1-1i3−i30000000
χ31222-12222-1-1222-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200-1-100000000-1-12-1-100
χ32222-12222-1-1222-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200110000000011-21100
χ33222-12222-1-1222-1-1-1-1-1-1-2-2-2-2222-2-2-1-1111111-1-1111-1-1002200-1-100000000-1-1-21100
χ34222-12222-1-1222-1-1-1-1-1-1-2-2-2-2222-2-2-1-1111111-1-1111-1-100-2-2001100000000112-1-100
χ35222-12222-1-12-2-2-1-1-1-1-1-12-2222-2-2-2-211111111-1-1-1-1-111000000−i3i300000000−i3i30−i3i300
χ36222-12222-1-12-2-2-1-1-1-1-1-12-2222-2-2-2-211111111-1-1-1-1-111000000i3−i300000000i3−i30i3−i300
χ37222-12222-1-12-2-2-1-1-1-1-1-1-22-2-22-2-22211-1-1-1-1-1-1-1-111111000000−i3i300000000−i3i30i3−i300
χ38222-12222-1-12-2-2-1-1-1-1-1-1-22-2-22-2-22211-1-1-1-1-1-1-1-111111000000i3−i300000000i3−i30−i3i300
χ39444-24444-2-2-44-4-2-2-2-2220000-44-400-2200000022000-2200000000000000000000000
χ40444-24444-2-2-4-44-2-2-2-2220000-4-44002-2000000220002-200000000000000000000000
χ41444-2-2-2-2-2-21444-2111-2-244-2-2-2-2-2-2-2-2-2-2-2111111-2111100000000000000000000000
χ42444-2-2-2-2-2-21444-2111-2-2-4-422-2-2-222-2-222-1-1-1-1112-1-11100000000000000000000000
χ43444-2-2-2-2-2-214-4-4-2111-2-24-4-2-2-222222222-1-1-1-111-211-1-100000000000000000000000
χ44444-2-2-2-2-2-214-4-4-2111-2-2-4422-222-2-222-2-21111112-1-1-1-100000000000000000000000
χ45444-2-2-2-2-2-21-44-4-21112200−2i32i32-22−2i32i3-2200i3i3−i3−i3-1-10i3−i31-100000000000000000000000
χ46444-2-2-2-2-2-21-44-4-211122002i3−2i32-222i3−2i3-2200−i3−i3i3i3-1-10−i3i31-100000000000000000000000
χ47444-2-2-2-2-2-21-4-44-21112200−2i32i322-22i3−2i32-200−i3−i3i3i3-1-10i3−i3-1100000000000000000000000
χ48444-2-2-2-2-2-21-4-44-211122002i3−2i322-2−2i32i32-200i3i3−i3−i3-1-10−i3i3-1100000000000000000000000
χ4944-4444-4-444000-4-4-4400000000000000000000000000002-2002200000000-2-200000
χ5044-4444-4-444000-4-4-440000000000000000000000000000-2200-2-2000000002200000
χ5144-4-244-4-4-2-2000222-2−2i32i300000000000000000−2i32i300000002-200−1−i3−1+i3000000001+i31−i300000
χ5244-4-244-4-4-2-2000222-2−2i32i300000000000000000−2i32i30000000-22001+i31−i300000000−1−i3−1+i300000
χ5344-4-244-4-4-2-2000222-22i3−2i3000000000000000002i3−2i300000002-200−1+i3−1−i3000000001−i31+i300000
χ5444-4-244-4-4-2-2000222-22i3−2i3000000000000000002i3−2i30000000-22001−i31+i300000000−1+i3−1−i300000
χ5588-88-4-4448-4000-844-40000000000000000000000000000000000000000000000000
χ5688-8-4-4-444-420004-2-22−4i34i3000000000000000002i3−2i30000000000000000000000000000
χ5788-8-4-4-444-420004-2-224i3−4i300000000000000000−2i32i30000000000000000000000000000
χ588-8088-800-88000000-80000000000000000000000000000000000000000000000000
χ598-808-44−4i34i3-8-40000−4i34i340000000000000000000000000000000000000000000000000
χ608-808-444i3−4i3-8-400004i3−4i340000000000000000000000000000000000000000000000000
χ618-80-48-8004-40000004000000000000023−2323−2323−23000000000000000000000000000000
χ628-80-48-8004-400000040000000000000−2323−2323−2323000000000000000000000000000000
χ638-80-4-44−4i34i34200002i3−2i3-2000000000000023−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000
χ648-80-4-44−4i34i34200002i3−2i3-20000000000000−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000
χ658-80-4-444i3−4i3420000−2i32i3-2000000000000023−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000
χ668-80-4-444i3−4i3420000−2i32i3-20000000000000−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.