Finite Group Databasebeta

← Group #11886635

Character table — Group #11886635

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222244444444488888888888888812121212121212121616161616161624242424242424242424242436363636484848487272
order12233446666366661212121224466121212121212121212122244888866612121212226688121224242424224466242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11-111-1-11111-1-11-11-11-1-1-11-1
χ6111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1111-1-111-1-111-11-11-11-1-1-11
χ7111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-1-111-1-111-1-1-11-111-111-11
χ8111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-11-1-111-1-1-1-1111-11-1-11111-1
χ911111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-1-1-11111-111-11-11-111-1-11111-111-1-1-1
χ1011111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-111111-11-11-11-1-1-111-1-1-1-11-11-111
χ1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-11111-11-11-11-1111-1-1-1-1-1-1-11-1111
χ1211111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1-111111-1-11-11-11-1-11111111-1-11-1-1
χ1311111111111111111111-1-11-1-111111111111-11-11111-1-1-1-1-1-1-1-1-11-1-111-111111-11-1-1-1-11-11
χ1411111111111111111111-1-11-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-1111-111-1
χ1511111111111111111111-1-11-1-11111111111-11-111111-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-1-11-11-1
χ1611111111111111111111-1-11-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-111-111-1-11-1-1-1-11-11-1111-1-11
χ172222-122-1-1-12-12-1-1-1-1-12222222-1-122-1-1-1-1-1-100002222-1-1-1-12-1-122000000-1-1-1-10000-1-10000
χ182222-122-1-1-12-12-1-1-1-1-12222222-1-122-1-1-1-1-1-10000-2-2-2-2-1-1-1-12-1-1-2-200000011110000110000
χ192222-122-1-1-12-12-1-1-1-1-1222-2-22211-2-21111-1-1000022-2-2-1-1-11-2112-2000000-1-1110000-110000
χ202222-122-1-1-12-12-1-1-1-1-1222-2-22211-2-21111-1-10000-2-222-1-1-11-211-2200000011-1-100001-10000
χ212222-122-1-1-12-12-1-1-1-1-122-22-2-2-211-2-21111-1-1000022-2-2111-12-1-1-22000000-1-11100001-10000
χ222222-122-1-1-12-12-1-1-1-1-122-22-2-2-211-2-21111-1-10000-2-222111-12-1-12-200000011-1-10000-110000
χ232222-122-1-1-12-12-1-1-1-1-122-2-22-2-2-1-122-1-1-1-1-1-1000022221111-211-2-2000000-1-1-1-10000110000
χ242222-122-1-1-12-12-1-1-1-1-122-2-22-2-2-1-122-1-1-1-1-1-10000-2-2-2-21111-2112200000011110000-1-10000
χ25222-1222222-1-1-1-1-1-122-1-1222-1-122-1-1-1-1-1-1-1-1222200002-1-12-1-1-100-1-122-1-10000000000-1-100
χ26222-1222222-1-1-1-1-1-122-1-1222-1-122-1-1-1-1-1-1-1-1-2-2-2-200002-1-12-1-1-10011-2-21100000000001100
χ27222-1222222-1-1-1-1-1-122-1-12-2-2-1-1-2-2111111-1-1222200002-1-1-211100-1-1-2-2-1-100000000001100
χ28222-1222222-1-1-1-1-1-122-1-12-2-2-1-1-2-2111111-1-1-2-2-2-200002-1-1-2111001122110000000000-1-100
χ29222-1222222-1-1-1-1-1-122-1-1-22-211-2-2111111-1-12-22-20000-2112-1-1-100-112-2-110000000000-1100
χ30222-1222222-1-1-1-1-1-122-1-1-22-211-2-2111111-1-1-22-220000-2112-1-1-1001-1-221-100000000001-100
χ31222-1222222-1-1-1-1-1-122-1-1-2-221122-1-1-1-1-1-1-1-12-22-20000-211-211100-11-22-1100000000001-100
χ32222-1222222-1-1-1-1-1-122-1-1-2-221122-1-1-1-1-1-1-1-1-22-220000-211-2111001-12-21-10000000000-1100
χ3322-2222-2-2-2222-2-2-222-22-200000000000002-2020-2002-200000000002000-2002-2020-2000000
χ3422-2222-2-2-2222-2-2-222-22-200000000000002-2020-200-2200000000002000-200-220-202000000
χ3522-2222-2-2-2222-2-2-222-22-200000000000002-20-202002-20000000000-20002002-20-202000000
χ3622-2222-2-2-2222-2-2-222-22-200000000000002-20-20200-220000000000-2000200-22020-2000000
χ3722-222-22-2-2222-2-2-22-22-220000000000000-2220-202-2000000000002000-202-20020-20000000
χ3822-222-22-2-2222-2-2-22-22-220000000000000-2220-20-22000000000002000-20-2200-2020000000
χ3922-222-22-2-2222-2-2-22-22-220000000000000-22-20202-200000000000-2000202-200-2020000000
χ4022-222-22-2-2222-2-2-22-22-220000000000000-22-2020-2200000000000-200020-220020-20000000
χ4144444-4-4444444444-4-4-4-40000000000000-4-40000000000000000000000000000000000000
χ424444-2-4-4-2-2-24-24-2-2-222-4-400000−2i32i300−2i3−2i32i32i3220000000000000000000000000000000000000
χ434444-2-4-4-2-2-24-24-2-2-222-4-4000002i3−2i3002i32i3−2i3−2i3220000000000000000000000000000000000000
χ44444-24-4-4444-2-2-2-2-2-2-4-422000−2i32i30000000022000000000−2i32i300000000000000000000000000
χ45444-24-4-4444-2-2-2-2-2-2-4-4220002i3−2i300000000220000000002i3−2i300000000000000000000000000
χ46444-2-244-2-2-2-21-2111-2-2-2-2444-2-2-2-2-2-211111100000000-211-2-2110000000000000000000000
χ47444-2-244-2-2-2-21-2111-2-2-2-24-4-4-2-22222-1-1-1-11100000000-21122-1-10000000000000000000000
χ48444-2-244-2-2-2-21-2111-2-2-2-2-44-4222222-1-1-1-111000000002-1-1-2-2110000000000000000000000
χ49444-2-244-2-2-2-21-2111-2-2-2-2-4-4422-2-2-2-2111111000000002-1-122-1-10000000000000000000000
χ50444-2-2-4-4-2-2-2-21-21112222000−2i32i3−2i32i300i3i3−i3−i3-1-1000000000i3−i3003-30000000000000000000000
χ51444-2-2-4-4-2-2-2-21-21112222000−2i32i32i3−2i300−i3−i3i3i3-1-1000000000i3−i300-330000000000000000000000
χ52444-2-2-4-4-2-2-2-21-211122220002i3−2i3−2i32i300i3i3−i3−i3-1-1000000000−i3i300-330000000000000000000000
χ53444-2-2-4-4-2-2-2-21-211122220002i3−2i32i3−2i300−i3−i3i3i3-1-1000000000−i3i3003-30000000000000000000000
χ5444-44-24-422-24-2-422-2-224-40000000000000-220000004-400000000000000000-220000000000
χ5544-44-24-422-24-2-422-2-224-40000000000000-22000000-44000000000000000002-20000000000
χ5644-44-2-4422-24-2-422-22-2-4400000000000002-200004-400000000000000000-22000000000000
χ5744-44-2-4422-24-2-422-22-2-4400000000000002-20000-44000000000000000002-2000000000000
χ5844-4-244-4-4-44-2-2222-24-4-220000000000000-22040-400000000000000-2000200000000000000
χ5944-4-244-4-4-44-2-2222-24-4-220000000000000-220-404000000000000002000-200000000000000
χ6044-4-24-44-4-44-2-2222-2-442-200000000000002-240-400000000000000-20002000000000000000
χ6144-4-24-44-4-44-2-2222-2-442-200000000000002-2-404000000000000002000-2000000000000000
χ6288-8-4-48-844-4-424-2-22-44-4400000000000002-20000000000000000000000000000000000000
χ6388-8-4-4-8844-4-424-2-224-44-40000000000000-220000000000000000000000000000000000000
χ648-80880000-8-88000-800000000000000000000000000000000000000000000000000000000
χ658-808-400−4i34i34-8-40−4i34i3400000000000000000000000000000000000000000000000000000000
χ668-808-4004i3−4i34-8-404i3−4i3400000000000000000000000000000000000000000000000000000000
χ678-80-480000-84-400040000000000023−2323−2323−23000000000000000000000000000000000000000
χ688-80-480000-84-4000400000000000−2323−2323−2323000000000000000000000000000000000000000
χ698-80-4-400−4i34i344202i3−2i3-20000000000023−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000000000000
χ708-80-4-400−4i34i344202i3−2i3-200000000000−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000000000000
χ718-80-4-4004i3−4i34420−2i32i3-20000000000023−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000000000000
χ728-80-4-4004i3−4i34420−2i32i3-200000000000−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000000000000

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