Finite Group Databasebeta

← Group #11865173

Character table — Group #11865173

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444666688888888888888888812121212121212121212161616161624242424242424242424242424243636363648487272
order1223344666634466661212121222442466121212121212121212121212121222224466121266612122466666688121212122244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1
χ9111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11111111-1-11-11-1-1-1111-1-1-11-11-11-11-11-1
χ10111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111111111-1-11-1-11-1-111-11-1-1-11-11-11-11-11
χ11111111111111-1-1111111111111-11-1-111-1-1-1-111111111-1-11-11-11111-1-1-1-1-1-111-1-1-1-1-1-11111-11-11-1-11-11
χ12111111111111-1-1111111111111-11-1-111-1-1-1-111111111-1-1-11-111111-1-1-1-1-1-11-11-1-1-1-11-111-11-11-111-11-1
χ13111111111111-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111-1-1-111-111-1-11-1111-1-11-111-1-11
χ14111111111111-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-1111-1-1-11-1111-1-1-1111-111-11-1-111-1
χ15111111111111-1-111111111-1-1-1-1-11-1-111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-11-11-11111-11-1-11-1-11-11-111-1
χ16111111111111-1-111111111-1-1-1-1-11-1-111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-11-11-1-11
χ1722222-2-2222222-22222-2-2-2-222-2-20000002-22-2000000-2-22-2000022-2-20002-200002-20000000000000000
χ1822222-2-2222222-22222-2-2-2-2-2-2220000002-22-2000000-2-2-220000-2-2220002-20000-220000000000000000
χ1922222-2-222222-222222-2-2-2-222-2-2000000-22-22000000-2-2-22000022-2-2000-220000-220000000000000000
χ2022222-2-222222-222222-2-2-2-2-2-222000000-22-22000000-2-22-20000-2-222000-2200002-20000000000000000
χ212222-122-1-1-12-1222-1-1-1-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1220000-1-1-1-12-1-1-1-12200-1-1-1-100-1-10000000000
χ222222-122-1-1-12-1222-1-1-1-1-1222222-2-21111-1-122-2-21111-1-1220000-1-1-1-1-211-1-1-2-200-1-11100110000000000
χ232222-122-1-1-12-1222-1-1-1-1-122-2-2-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2000011112-1-1-1-1-2-200111100110000000000
χ242222-122-1-1-12-1222-1-1-1-1-122-2-2-2-2-2-21111-1-122-2-21111-1-1-2-200001111-211-1-1220011-1-100-1-10000000000
χ252222-122-1-1-12-1-2-22-1-1-1-1-12222222-2-1-11111-2-2-2-21111-1-1-2-20000-1-1-1-12-1-1112-20011-1-100110000000000
χ262222-122-1-1-12-1-2-22-1-1-1-1-1222222-2211-1-111-2-222-1-1-1-1-1-1-2-20000-1-1-1-1-21111-2200111100-1-10000000000
χ272222-122-1-1-12-1-2-22-1-1-1-1-122-2-2-2-22-2-1-11111-2-2-2-21111-1-122000011112-1-111-2200-1-11100-1-10000000000
χ282222-122-1-1-12-1-2-22-1-1-1-1-122-2-2-2-2-2211-1-111-2-222-1-1-1-1-1-12200001111-211112-200-1-1-1-100110000000000
χ292222-1-2-2-1-1-12-12-22-1-1-111-2-222-2-200−i3i3−i3i3-112-200−i3−i3i3i3112-20000-1-1110−i3i3-110000-11−i3i300−i3i30000000000
χ302222-1-2-2-1-1-12-12-22-1-1-111-2-222-2-200i3−i3i3−i3-112-200i3i3−i3−i3112-20000-1-1110i3−i3-110000-11i3−i300i3−i30000000000
χ312222-1-2-2-1-1-12-12-22-1-1-111-2-2-2-22200−i3i3−i3i3-112-200−i3−i3i3i311-22000011-1-10−i3i3-1100001-1i3−i300i3−i30000000000
χ322222-1-2-2-1-1-12-12-22-1-1-111-2-2-2-22200i3−i3i3−i3-112-200i3i3−i3−i311-22000011-1-10i3−i3-1100001-1−i3i300−i3i30000000000
χ332222-1-2-2-1-1-12-1-222-1-1-111-2-222-2-200−i3i3i3−i31-1-2200i3i3−i3−i311-220000-1-1110−i3i31-100001-1−i3i300i3−i30000000000
χ342222-1-2-2-1-1-12-1-222-1-1-111-2-222-2-200i3−i3−i3i31-1-2200−i3−i3i3i311-220000-1-1110i3−i31-100001-1i3−i300−i3i30000000000
χ352222-1-2-2-1-1-12-1-222-1-1-111-2-2-2-22200−i3i3i3−i31-1-2200i3i3−i3−i3112-2000011-1-10−i3i31-10000-11i3−i300−i3i30000000000
χ362222-1-2-2-1-1-12-1-222-1-1-111-2-2-2-22200i3−i3−i3i31-1-2200−i3−i3i3i3112-2000011-1-10i3−i31-10000-11−i3i300i3−i30000000000
χ37222-1222222-1-122-1-1-1-122-1-1000022222222-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-100-1-100002200-1-10000-1-100
χ38222-1222222-1-122-1-1-1-122-1-1000022222222-1-1-1-1-1-1-1-1-1-100-2-2-2-20000-1-1-1-1-100110000-2-2001100001100
χ39222-1222222-1-122-1-1-1-122-1-10000-2-2-2-2-2-222-1-1111111-1-10022220000111-1-100-1-10000-2-200-1-100001100
χ40222-1222222-1-122-1-1-1-122-1-10000-2-2-2-2-2-222-1-1111111-1-100-2-2-2-20000111-1-1001100002200110000-1-100
χ41222-1222222-1-1-2-2-1-1-1-122-1-100002-222-2-2-2-211111111-1-1002-22-20000-1-1-11100-1100002-200-110000-1100
χ42222-1222222-1-1-2-2-1-1-1-122-1-100002-222-2-2-2-211111111-1-100-22-220000-1-1-111001-10000-22001-100001-100
χ43222-1222222-1-1-2-2-1-1-1-122-1-10000-22-2-222-2-211-1-1-1-1-1-1-1-1002-22-200001111100-110000-2200-1100001-100
χ44222-1222222-1-1-2-2-1-1-1-122-1-10000-22-2-222-2-211-1-1-1-1-1-1-1-100-22-22000011111001-100002-2001-10000-1100
χ4522-2222-2-2-222200-2-2-222-22-22-22-200000000000000002-200020-22-22-2000000002000000000-2020-20000
χ4622-2222-2-2-222200-2-2-222-22-22-22-200000000000000002-2000-2022-22-200000000-200000000020-2020000
χ4722-2222-2-2-222200-2-2-222-22-2-22-2200000000000000002-200020-2-22-22000000002000000000-20-2020000
χ4822-2222-2-2-222200-2-2-222-22-2-22-2200000000000000002-2000-202-22-2200000000-20000000002020-20000
χ4922-222-22-2-222200-2-2-22-22-222-2-220000000000000000-220020-202-2-2200000002000000000-20-20200000
χ5022-222-22-2-222200-2-2-22-22-222-2-220000000000000000-2200-20202-2-220000000-20000000002020-200000
χ5122-222-22-2-222200-2-2-22-22-22-222-20000000000000000-220020-20-222-200000002000000000-2020-200000
χ5222-222-22-2-222200-2-2-22-22-22-222-20000000000000000-2200-2020-222-20000000-200000000020-20200000
χ53444-24-4-4444-2-24-4-2-2-2-2-4-42200000000004-4-22000000220000000000000-220000000000000000000000
χ54444-24-4-4444-2-2-44-2-2-2-2-4-4220000000000-442-20000002200000000000002-20000000000000000000000
χ55444-2-244-2-2-2-2144-2111-2-2-2-2000044-2-2-2-2-2-2-2-2-2-21111110000000000-211110000000000000000000000
χ56444-2-244-2-2-2-2144-2111-2-2-2-20000-4-42222-2-2-2-222-1-1-1-11100000000002-1-1110000000000000000000000
χ57444-2-244-2-2-2-21-4-4-2111-2-2-2-200004-4-2-222222222-1-1-1-1110000000000-211-1-10000000000000000000000
χ58444-2-244-2-2-2-21-4-4-2111-2-2-2-20000-4422-2-22222-2-211111100000000002-1-1-1-10000000000000000000000
χ59444-2-2-4-4-2-2-2-214-4-21112222000000−2i32i3−2i32i3-22-2200i3i3−i3−i3-1-100000000000i3−i31-10000000000000000000000
χ60444-2-2-4-4-2-2-2-214-4-211122220000002i3−2i32i3−2i3-22-2200−i3−i3i3i3-1-100000000000−i3i31-10000000000000000000000
χ61444-2-2-4-4-2-2-2-21-44-21112222000000−2i32i32i3−2i32-22-200−i3−i3i3i3-1-100000000000i3−i3-110000000000000000000000
χ62444-2-2-4-4-2-2-2-21-44-211122220000002i3−2i3−2i32i32-22-200i3i3−i3−i3-1-100000000000−i3i3-110000000000000000000000
χ6344-44-24-422-24-200-422-2-224-44-44-40000000000000000-22000000-22-22000000000000000000000000000
χ6444-44-24-422-24-200-422-2-224-4-44-440000000000000000-220000002-22-2000000000000000000000000000
χ6544-44-2-4422-24-200-422-22-2-444-4-4400000000000000002-2000000-222-2000000000000000000000000000
χ6644-44-2-4422-24-200-422-22-2-44-444-400000000000000002-20000002-2-22000000000000000000000000000
χ6744-4-244-4-4-44-2-200222-24-4-2200000000000000000000-2200040-4000000000000-2000000000200000000
χ6844-4-244-4-4-44-2-200222-24-4-2200000000000000000000-22000-4040000000000002000000000-200000000
χ6944-4-24-44-4-44-2-200222-2-442-2000000000000000000002-20040-4000000000000-20000000002000000000
χ7044-4-24-44-4-44-2-200222-2-442-2000000000000000000002-200-4040000000000002000000000-2000000000
χ7188-8-4-48-844-4-42004-2-22-44-44000000000000000000002-20000000000000000000000000000000000000
χ7288-8-4-4-8844-4-42004-2-224-44-400000000000000000000-220000000000000000000000000000000000000
χ738-80880000-8-8800000-8000000000000000000000000000000000000000000000000000000000000000
χ748-808-400−4i34i34-8-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ758-808-4004i3−4i34-8-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000
χ768-80-480000-84-400000400000000000000000023−2323−2323−23000000000000000000000000000000000000000
χ778-80-480000-84-4000004000000000000000000−2323−2323−2323000000000000000000000000000000000000000
χ788-80-4-400−4i34i34420002i3−2i3-200000000000000000023−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000000000000
χ798-80-4-400−4i34i34420002i3−2i3-2000000000000000000−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000000000000
χ808-80-4-4004i3−4i3442000−2i32i3-200000000000000000023−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000000000000
χ818-80-4-4004i3−4i3442000−2i32i3-2000000000000000000−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000000000000

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