Finite Group Databasebeta

← Group #11865107

Character table — Group #11865107

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444666688888888888888888812121212121212121212161616161624242424242424242424242424243636363648487272
order12233446666344666612121212224444121212121212121212121212121212122244446612121212121212246666881212121212122244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-111111-1-111-1-111-1-111-1-1-1-1-1-111-1-1
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
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1
χ9111111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11-111111-1-1111-11-1111-1-1-11-1-1-11-11-11-11-1
χ10111111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-1-1111111-1-1111-1-1111-11-1-1-11-1-1-11-11-11-11
χ11111111111111-1-1111111111111-1111-1-1-1-1-1-1111111111-1-1-11-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11-11-1-11-11
χ12111111111111-1-1111111111111-1111-1-1-1-1-1-111111111-11-1-1-111111-1-1-1-1-1-11-11-1-11-111-11-1-1-11-111-11-1
χ13111111111111-1-111111111-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111-1111-1-1-1-1-11-1-111-111-1-1-11-1111-111-11-111-1-11
χ14111111111111-1-111111111-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111-1111-11-1-1-1-11-1-111-11-11-1-1-1111-11111-11-1-111-1
χ15111111111111-1-111111111-1-1-1-1-1111-1-1-1-1-1-1111111111-1111-1-1-1-1-1-1-1-1-1-11-11-111-11-1-11-111-11-11-111-1
χ16111111111111-1-111111111-1-1-1-1-1111-1-1-1-1-1-111111111-1111-11-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-11-11-1-11
χ1722222-2-2222222-22222-2-2-2-222-2-200002-22-200000000-2-2002-20022-2-202-2000000000000002-200000000
χ1822222-2-2222222-22222-2-2-2-2-2-22200002-22-200000000-2-200-2200-2-22202-200000000000000-2200000000
χ1922222-2-222222-222222-2-2-2-222-2-20000-22-2200000000-2-200-220022-2-20-2200000000000000-2200000000
χ2022222-2-222222-222222-2-2-2-2-2-2220000-22-2200000000-2-2002-200-2-2220-22000000000000002-200000000
χ212222-122-1-12-1-1222-1-1-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1002200-1-1-1-12-1-1-1-12200-1-100-1-100-1-100000000
χ222222-122-1-12-1-1222-1-1-1-1-1222222-2-21122-1-111-2-21111-1-1002200-1-1-1-1-2-1-111-2-20011001100-1-100000000
χ232222-122-1-12-1-1222-1-1-1-1-122-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-100-2-20011112-1-1-1-1-2-200110011001100000000
χ242222-122-1-12-1-1222-1-1-1-1-122-2-2-2-2-2-21122-1-111-2-21111-1-100-2-2001111-2-1-1112200-1-100-1-1001100000000
χ252222-122-1-12-1-1-2-22-1-1-1-1-12222222-211-2-211-1-1-2-21111-1-100-2-200-1-1-1-1211-1-12-200-1-10011001100000000
χ262222-122-1-12-1-1-2-22-1-1-1-1-1222222-22-1-1-2-2111122-1-1-1-1-1-100-2-200-1-1-1-1-21111-22001100-1-1001100000000
χ272222-122-1-12-1-1-2-22-1-1-1-1-122-2-2-2-22-211-2-211-1-1-2-21111-1-10022001111211-1-1-22001100-1-100-1-100000000
χ282222-122-1-12-1-1-2-22-1-1-1-1-122-2-2-2-2-22-1-1-2-2111122-1-1-1-1-1-10022001111-211112-200-1-1001100-1-100000000
χ292222-1-2-2-1-12-1-12-22-1-1-111-2-222-2-200i3−i32-2-11i3−i300i3i3−i3−i311002-200-1-1110-11i3−i30000i3−i300i3−i300-1100000000
χ302222-1-2-2-1-12-1-12-22-1-1-111-2-222-2-200−i3i32-2-11−i3i300−i3−i3i3i311002-200-1-1110-11−i3i30000−i3i300−i3i300-1100000000
χ312222-1-2-2-1-12-1-12-22-1-1-111-2-2-2-22200i3−i32-2-11i3−i300i3i3−i3−i31100-220011-1-10-11i3−i30000−i3i300−i3i3001-100000000
χ322222-1-2-2-1-12-1-12-22-1-1-111-2-2-2-22200−i3i32-2-11−i3i300−i3−i3i3i31100-220011-1-10-11−i3i30000i3−i300i3−i3001-100000000
χ332222-1-2-2-1-12-1-1-222-1-1-111-2-222-2-200i3−i3-221-1−i3i300i3i3−i3−i31100-2200-1-11101-1−i3i30000−i3i300i3−i3001-100000000
χ342222-1-2-2-1-12-1-1-222-1-1-111-2-222-2-200−i3i3-221-1i3−i300−i3−i3i3i31100-2200-1-11101-1i3−i30000i3−i300−i3i3001-100000000
χ352222-1-2-2-1-12-1-1-222-1-1-111-2-2-2-22200i3−i3-221-1−i3i300i3i3−i3−i311002-20011-1-101-1−i3i30000i3−i300−i3i300-1100000000
χ362222-1-2-2-1-12-1-1-222-1-1-111-2-2-2-22200−i3i3-221-1i3−i300−i3−i3i3i311002-20011-1-101-1i3−i30000−i3i300i3−i300-1100000000
χ37222-122222-12-122-1-1-1-122-1-100002222-1-12222-1-1-1-1-1-1-1-12200220000-1-1-1-1-100-1-1002200-1-1000000-1-100
χ38222-122222-12-122-1-1-1-122-1-100002222-1-12222-1-1-1-1-1-1-1-1-2-200-2-20000-1-1-1-1-1001100-2-200110000001100
χ39222-122222-12-122-1-1-1-122-1-10000-2-2-2-2-1-122-2-2111111-1-122002200001-1-11100-1-100-2-200-1-10000001100
χ40222-122222-12-122-1-1-1-122-1-10000-2-2-2-2-1-122-2-2111111-1-1-2-200-2-200001-1-111001100220011000000-1-100
χ41222-122222-12-1-2-2-1-1-1-122-1-100002-2-2-211-2-222111111-1-12-2002-20000-111-1-100-11002-200-11000000-1100
χ42222-122222-12-1-2-2-1-1-1-122-1-100002-2-2-211-2-222111111-1-1-2200-220000-111-1-1001-100-22001-10000001-100
χ43222-122222-12-1-2-2-1-1-1-122-1-10000-222211-2-2-2-2-1-1-1-1-1-1-1-12-2002-200001111100-1100-2200-110000001-100
χ44222-122222-12-1-2-2-1-1-1-122-1-10000-222211-2-2-2-2-1-1-1-1-1-1-1-1-2200-22000011111001-1002-2001-1000000-1100
χ4522-2222-2-2-222200-2-2-222-22-22-22-200000000000000002-202000-22-22-20000000020000000-200020-20000
χ4622-2222-2-2-222200-2-2-222-22-22-22-200000000000000002-20-200022-22-200000000-200000002000-2020000
χ4722-2222-2-2-222200-2-2-222-22-2-22-2200000000000000002-202000-2-22-220000000020000000-2000-2020000
χ4822-2222-2-2-222200-2-2-222-22-2-22-2200000000000000002-20-20002-22-2200000000-20000000200020-20000
χ4922-222-22-2-222200-2-2-22-22-222-2-220000000000000000-222000-202-2-22000000020000000-200020-200000
χ5022-222-22-2-222200-2-2-22-22-222-2-220000000000000000-22-2000202-2-220000000-200000002000-20200000
χ5122-222-22-2-222200-2-2-22-22-22-222-20000000000000000-222000-20-222-2000000020000000-2000-20200000
χ5222-222-22-2-222200-2-2-22-22-22-222-20000000000000000-22-200020-222-20000000-20000000200020-200000
χ53444-24-4-444-24-24-4-2-2-2-2-4-42200000000-224-4000000002200000000000-22000000000000000000000000
χ54444-24-4-444-24-2-44-2-2-2-2-4-422000000002-2-440000000022000000000002-2000000000000000000000000
χ55444-2-244-2-2-2-2144-2111-2-2-2-2000044-2-2-2-2-2-2-2-2-2-21111110000000000-211110000000000000000000000
χ56444-2-244-2-2-2-2144-2111-2-2-2-20000-4-422-2-2-2-22222-1-1-1-1110000000000211-1-10000000000000000000000
χ57444-2-244-2-2-2-21-4-4-2111-2-2-2-200004-4222222-2-222-1-1-1-1110000000000-2-1-1110000000000000000000000
χ58444-2-244-2-2-2-21-4-4-2111-2-2-2-20000-44-2-2222222-2-211111100000000002-1-1-1-10000000000000000000000
χ59444-2-2-4-4-2-2-2-214-4-211122220000002i3−2i3-22-222i3−2i300−i3−i3i3i3-1-1000000000001-1−i3i30000000000000000000000
χ60444-2-2-4-4-2-2-2-214-4-21112222000000−2i32i3-22-22−2i32i300i3i3−i3−i3-1-1000000000001-1i3−i30000000000000000000000
χ61444-2-2-4-4-2-2-2-21-44-211122220000002i3−2i32-22-2−2i32i300−i3−i3i3i3-1-100000000000-11i3−i30000000000000000000000
χ62444-2-2-4-4-2-2-2-21-44-21112222000000−2i32i32-22-22i3−2i300i3i3−i3−i3-1-100000000000-11−i3i30000000000000000000000
χ6344-44-24-4224-2-200-422-2-224-44-44-40000000000000000-22000000-22-22000000000000000000000000000
χ6444-44-24-4224-2-200-422-2-224-4-44-440000000000000000-220000002-22-2000000000000000000000000000
χ6544-44-2-44224-2-200-422-22-2-444-4-4400000000000000002-2000000-222-2000000000000000000000000000
χ6644-44-2-44224-2-200-422-22-2-44-444-400000000000000002-20000002-2-22000000000000000000000000000
χ6744-4-244-4-4-4-24-200222-24-4-2200000000000000000000-2204000-4000000000000-2000000020000000000
χ6844-4-244-4-4-4-24-200222-24-4-2200000000000000000000-220-4000400000000000020000000-20000000000
χ6944-4-24-44-4-4-24-200222-2-442-2000000000000000000002-24000-4000000000000-20000000200000000000
χ7044-4-24-44-4-4-24-200222-2-442-2000000000000000000002-2-4000400000000000020000000-200000000000
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
χ748-808-4004i3−4i3-84-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000
χ758-808-400−4i34i3-84-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ768-80-4800004-8-40000040000000000000000002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000
χ778-80-4800004-8-4000004000000000000000000−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000
χ788-80-4-4004i3−4i3442000−2i32i3-20000000000000000002i3−2i33−i3−3+i3−3−i33+i3000000000000000000000000000000000000000
χ798-80-4-4004i3−4i3442000−2i32i3-2000000000000000000−2i32i3−3+i33−i33+i3−3−i3000000000000000000000000000000000000000
χ808-80-4-400−4i34i34420002i3−2i3-20000000000000000002i3−2i3−3−i33+i33−i3−3+i3000000000000000000000000000000000000000
χ818-80-4-400−4i34i34420002i3−2i3-2000000000000000000−2i32i33+i3−3−i3−3+i33−i3000000000000000000000000000000000000000

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