Finite Group Databasebeta

← Group #11865099

Character table — Group #11865099

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444666688888888888888888812121212121212121212161616161624242424242424242424242424243636363648487272
order12233446666344666612121212224424661212121212121212121212121212224444661212666121244668812121212121212122244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1
χ9111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-11111111-1-11-11-11-1-1-11-1-1-1111-11-11-11-1
χ10111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-111111111-1-11-1-11-11-1-1-11-1-111-11-11-11-11
χ11111111111111-1-1111111111111-11-1-111-1-1-1-1111111111-1-1-11-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-11-11
χ12111111111111-1-1111111111111-11-1-111-1-1-1-111111111-11-1-1-111111-1-1-1-1-1-11-111-111-11-1-1-1-1-11-111-11-1
χ13111111111111-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1111-1-1-111-11-1111-111-1-1-11-111-1-11
χ14111111111111-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-1-1-1111-1-1-11-11-1111-1111-1-11-11-1-111-1
χ15111111111111-1-111111111-1-1-1-1-11-1-111-1-1-1-1111111111-1111-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11-11111-11-11-111-1
χ16111111111111-1-111111111-1-1-1-1-11-1-111-1-1-1-111111111-1111-11-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-11-11-1-11
χ1722222-2-2222222-22222-2-2-2-222-2-20000002-22-2000000-2-2002-20022-2-20002-200000000002-20000000000
χ1822222-2-2222222-22222-2-2-2-2-2-2220000002-22-2000000-2-200-2200-2-2220002-20000000000-220000000000
χ1922222-2-222222-222222-2-2-2-222-2-2000000-22-22000000-2-200-220022-2-2000-220000000000-220000000000
χ2022222-2-222222-222222-2-2-2-2-2-222000000-22-22000000-2-2002-200-2-222000-2200000000002-20000000000
χ212222-12222-12-122-1-1-1-122-1-10000222222-1-122-1-1-1-1-1-1-1-12200220000-1-1-1-1-100-1-12200-1-100000000-1-100
χ222222-12222-12-122-1-1-1-122-1-10000222222-1-122-1-1-1-1-1-1-1-1-2-200-2-20000-1-1-1-1-10011-2-20011000000001100
χ232222-12222-12-122-1-1-1-122-1-10000-2-2-2-2-2-2-1-122111111-1-12200220000111-1-100-1-1-2-200-1-1000000001100
χ242222-12222-12-122-1-1-1-122-1-10000-2-2-2-2-2-2-1-122111111-1-1-2-200-2-20000111-1-1001122001100000000-1-100
χ252222-12222-12-1-2-2-1-1-1-122-1-100002-222-2-211-2-2111111-1-12-2002-20000-1-1-11100-112-200-1100000000-1100
χ262222-12222-12-1-2-2-1-1-1-122-1-100002-222-2-211-2-2111111-1-1-2200-220000-1-1-111001-1-22001-1000000001-100
χ272222-12222-12-1-2-2-1-1-1-122-1-10000-22-2-22211-2-2-1-1-1-1-1-1-1-12-2002-200001111100-11-2200-11000000001-100
χ282222-12222-12-1-2-2-1-1-1-122-1-10000-22-2-22211-2-2-1-1-1-1-1-1-1-1-2200-22000011111001-12-2001-100000000-1100
χ29222-1222-1-12-1-1222-1-1-1-1-122222222-1-1-1-122-1-122-1-1-1-1-1-1002200-1-1-1-12-1-1-1-1220000-1-100-1-1-1-100000000
χ30222-1222-1-12-1-1222-1-1-1-1-1222222-2-2111122-1-1-2-21111-1-1002200-1-1-1-1-211-1-1-2-200001100-1-11100000000
χ31222-1222-1-12-1-1222-1-1-1-1-122-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-100-2-20011112-1-1-1-1-2-200001100111100000000
χ32222-1222-1-12-1-1222-1-1-1-1-122-2-2-2-2-2-2111122-1-1-2-21111-1-100-2-2001111-211-1-1220000-1-10011-1-100000000
χ33222-1222-1-12-1-1-2-22-1-1-1-1-12222222-2-1-111-2-211-2-21111-1-100-2-200-1-1-1-12-1-1112-20000110011-1-100000000
χ34222-1222-1-12-1-1-2-22-1-1-1-1-1222222-2211-1-1-2-21122-1-1-1-1-1-100-2-200-1-1-1-1-21111-220000-1-100111100000000
χ35222-1222-1-12-1-1-2-22-1-1-1-1-122-2-2-2-22-2-1-111-2-211-2-21111-1-100220011112-1-111-220000-1-100-1-11100000000
χ36222-1222-1-12-1-1-2-22-1-1-1-1-122-2-2-2-2-2211-1-1-2-21122-1-1-1-1-1-10022001111-211112-200001100-1-1-1-100000000
χ37222-12-2-2-1-12-1-12-22-1-1-111-2-222-2-200−i3i3−i3i32-2-1100−i3−i3i3i311002-200-1-1110−i3i3-11000000−i3i300-11−i3i300000000
χ38222-12-2-2-1-12-1-12-22-1-1-111-2-222-2-200i3−i3i3−i32-2-1100i3i3−i3−i311002-200-1-1110i3−i3-11000000i3−i300-11i3−i300000000
χ39222-12-2-2-1-12-1-12-22-1-1-111-2-2-2-22200−i3i3−i3i32-2-1100−i3−i3i3i31100-220011-1-10−i3i3-11000000i3−i3001-1i3−i300000000
χ40222-12-2-2-1-12-1-12-22-1-1-111-2-2-2-22200i3−i3i3−i32-2-1100i3i3−i3−i31100-220011-1-10i3−i3-11000000−i3i3001-1−i3i300000000
χ41222-12-2-2-1-12-1-1-222-1-1-111-2-222-2-200−i3i3i3−i3-221-100i3i3−i3−i31100-2200-1-1110−i3i31-1000000i3−i3001-1−i3i300000000
χ42222-12-2-2-1-12-1-1-222-1-1-111-2-222-2-200i3−i3−i3i3-221-100−i3−i3i3i31100-2200-1-1110i3−i31-1000000−i3i3001-1i3−i300000000
χ43222-12-2-2-1-12-1-1-222-1-1-111-2-2-2-22200−i3i3i3−i3-221-100i3i3−i3−i311002-20011-1-10−i3i31-1000000−i3i300-11i3−i300000000
χ44222-12-2-2-1-12-1-1-222-1-1-111-2-2-2-22200i3−i3−i3i3-221-100−i3−i3i3i311002-20011-1-10i3−i31-1000000i3−i300-11−i3i300000000
χ4522-2222-2-2-222200-2-2-222-22-22-22-200000000000000002-202000-22-22-200000000200000-20000020-20000
χ4622-2222-2-2-222200-2-2-222-22-22-22-200000000000000002-20-200022-22-200000000-200000200000-2020000
χ4722-2222-2-2-222200-2-2-222-22-2-22-2200000000000000002-202000-2-22-2200000000200000-200000-2020000
χ4822-2222-2-2-222200-2-2-222-22-2-22-2200000000000000002-20-20002-22-2200000000-20000020000020-20000
χ4922-222-22-2-222200-2-2-22-22-222-2-220000000000000000-222000-202-2-220000000200000-20000020-200000
χ5022-222-22-2-222200-2-2-22-22-222-2-220000000000000000-22-2000202-2-220000000-200000200000-20200000
χ5122-222-22-2-222200-2-2-22-22-22-222-20000000000000000-222000-20-222-20000000200000-200000-20200000
χ5222-222-22-2-222200-2-2-22-22-22-222-20000000000000000-22-200020-222-20000000-20000020000020-200000
χ534444-2-4-444-24-24-4-2-2-2-2-4-4220000000000-224-4000000220000000000000-220000000000000000000000
χ544444-2-4-444-24-2-44-2-2-2-2-4-42200000000002-2-440000002200000000000002-20000000000000000000000
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
χ6344-44-24-4-4-4-24-200222-24-4-2200000000000000000000-2204000-4000000000000-2000002000000000000
χ6444-44-24-4-4-4-24-200222-24-4-2200000000000000000000-220-40004000000000000200000-2000000000000
χ6544-44-2-44-4-4-24-200222-2-442-2000000000000000000002-24000-4000000000000-20000020000000000000
χ6644-44-2-44-4-4-24-200222-2-442-2000000000000000000002-2-40004000000000000200000-20000000000000
χ6744-4-244-4224-2-200-422-2-224-44-44-40000000000000000-22000000-22-22000000000000000000000000000
χ6844-4-244-4224-2-200-422-2-224-4-44-440000000000000000-220000002-22-2000000000000000000000000000
χ6944-4-24-44224-2-200-422-22-2-444-4-4400000000000000002-2000000-222-2000000000000000000000000000
χ7044-4-24-44224-2-200-422-22-2-44-444-400000000000000002-20000002-2-22000000000000000000000000000
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
χ748-808-400004-8-400000400000000000000000023−2323−2323−23000000000000000000000000000000000000000
χ758-808-400004-8-4000004000000000000000000−2323−2323−2323000000000000000000000000000000000000000
χ768-80-4800−4i34i3-84-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ778-80-48004i3−4i3-84-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000
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.