Finite Group Databasebeta

← Group #11865000

Character table — Group #11865000

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222222334444444444444444466666668888888888888881212121212121212121212121212161616161624242424242424242424243636363648487272
order122334466664434444666612121212121212122241212121226612121212121212121212121222224444661212121266612124666688121212122244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111-1-1-1-111111111111-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-11111-1-111-1-11111-1-1-1-1
χ41111111111111111-1-11111-1-1-1-111111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-11-111111111-1-1-1-1-1-11-1-1-11-11-1-1-11-11-11-11-1
χ611111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-11-1111111111-1-1-1-1-1-1-11-1-1-11-11-1-1-11-11-11-11
χ711111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-111-1-1-1-1111-1-111-1-1-1-111-1111-11-1-11-11
χ811111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1-1-1111-1-11-11-1-11-1-1111-11-111-11-1
χ911111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-1-1-111-1-1
χ1011111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-1-111111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1111-1-1-1-111-1-111111111-1-1
χ1311111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-111-11-111-1-11
χ1411111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-11111-11-1-111-1
χ1511111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-11-111-1-11111111-1-1-11-111-111-1-1-1-11-11-111-1
χ1611111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-11111111-1-1-1-11111-1-11-1-11-11-11-1-11
χ1722222-2-222222222-20022220000-2-2-2-2-2-2222220002-22-2000000-2-22-2000000-2-200000002-20002-200000000000000
χ1822222-2-22222222-220022220000-2-2-2-2-2-222222000-22-22000000-2-2-22000000-2-20000000-22000-2200000000000000
χ1922222-2-22222-2-222-20022220000-2-2-2-222-2-2-2-2-20002-22-2000000-2-2-220000002200000002-2000-2200000000000000
χ2022222-2-22222-2-22-220022220000-2-2-2-222-2-2-2-2-2000-22-22000000-2-22-2000000220000000-220002-200000000000000
χ212222-122-1-12-122-122222-1-1-1-1-1-1-1-1-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-122000022-1-1-1-1-1-12-1-1-1-1200-1-10000-1-100000000
χ222222-122-1-12-122-122-2-22-1-1-11111-1-122222-1-1-1-1-21122-1-1-2-21111-1-1220000-2-2-1-11111-211-1-1-200-1-100001100000000
χ232222-122-1-12-122-1-2-2222-1-1-1-1-1-1-1-1-122222-1-1-1-1-211-2-21122-1-1-1-1-1-1-2-2000022-1-1-1-1-1-1-21111-2001100001100000000
χ242222-122-1-12-122-1-2-2-2-22-1-1-11111-1-122222-1-1-1-12-1-1-2-211-2-21111-1-1-2-20000-2-2-1-111112-1-111200110000-1-100000000
χ252222-122-1-12-1-2-2-122222-1-1-1-1-1-1-1-1-122-2-2-211112-1-122-1-122-1-1-1-1-1-1-2-20000-2-21111112-1-1-1-1-2001100001100000000
χ262222-122-1-12-1-2-2-122-2-22-1-1-11111-1-122-2-2-21111-21122-1-1-2-21111-1-1-2-200002211-1-1-1-1-211-1-1200110000-1-100000000
χ272222-122-1-12-1-2-2-1-2-2222-1-1-1-1-1-1-1-1-122-2-2-21111-211-2-21122-1-1-1-1-1-1220000-2-2111111-21111200-1-10000-1-100000000
χ282222-122-1-12-1-2-2-1-2-2-2-22-1-1-11111-1-122-2-2-211112-1-1-2-211-2-21111-1-12200002211-1-1-1-12-1-111-200-1-100001100000000
χ292222-1-2-2-1-12-122-12-2002-1-1-1−i3−i3i3i311-2-2-2-22-1-1-1-10−i3i32-2-1100−i3−i3i3i3112-200000011−i3−i3i3i30−i3i3-11000-110000−i3i300000000
χ302222-1-2-2-1-12-122-12-2002-1-1-1i3i3−i3−i311-2-2-2-22-1-1-1-10i3−i32-2-1100i3i3−i3−i3112-200000011i3i3−i3−i30i3−i3-11000-110000i3−i300000000
χ312222-1-2-2-1-12-122-1-22002-1-1-1−i3−i3i3i311-2-2-2-22-1-1-1-10i3−i3-221-100−i3−i3i3i311-2200000011−i3−i3i3i30i3−i31-10001-10000i3−i300000000
χ322222-1-2-2-1-12-122-1-22002-1-1-1i3i3−i3−i311-2-2-2-22-1-1-1-10−i3i3-221-100i3i3−i3−i311-2200000011i3i3−i3−i30−i3i31-10001-10000−i3i300000000
χ332222-1-2-2-1-12-1-2-2-12-2002-1-1-1−i3−i3i3i311-2-222-211110−i3i32-2-1100−i3−i3i3i311-22000000-1-1i3i3−i3−i30−i3i3-110001-10000i3−i300000000
χ342222-1-2-2-1-12-1-2-2-12-2002-1-1-1i3i3−i3−i311-2-222-211110i3−i32-2-1100i3i3−i3−i311-22000000-1-1−i3−i3i3i30i3−i3-110001-10000−i3i300000000
χ352222-1-2-2-1-12-1-2-2-1-22002-1-1-1−i3−i3i3i311-2-222-211110i3−i3-221-100−i3−i3i3i3112-2000000-1-1i3i3−i3−i30i3−i31-1000-110000−i3i300000000
χ362222-1-2-2-1-12-1-2-2-1-22002-1-1-1i3i3−i3−i311-2-222-211110−i3i3-221-100i3i3−i3−i3112-2000000-1-1−i3−i3i3i30−i3i31-1000-110000i3−i300000000
χ37222-122222-1200-12222-1-1-1-1222222-1-10000000222-1-122-1-1-1-1-1-1-1-100222200000000-1-1-1-1-10-1-10022-1-1000000-1-100
χ38222-122222-1200-12222-1-1-1-1222222-1-10000000222-1-122-1-1-1-1-1-1-1-100-2-2-2-200000000-1-1-1-1-101100-2-2110000001100
χ39222-122222-1200-122-2-2-1-1-1-1-2-2-2-222-1-10000000-2-2-2-1-122111111-1-100222200000000111-1-10-1-100-2-2-1-10000001100
χ40222-122222-1200-122-2-2-1-1-1-1-2-2-2-222-1-10000000-2-2-2-1-122111111-1-100-2-2-2-200000000111-1-1011002211000000-1-100
χ41222-122222-1200-1-2-222-1-1-1-1222222-1-10000000-2-2-211-2-2-1-1-1-1-1-1-1-1002-22-200000000111110-11002-2-11000000-1100
χ42222-122222-1200-1-2-222-1-1-1-1222222-1-10000000-2-2-211-2-2-1-1-1-1-1-1-1-100-22-22000000001111101-100-221-10000001-100
χ43222-122222-1200-1-2-2-2-2-1-1-1-1-2-2-2-222-1-1000000022211-2-2111111-1-1002-22-200000000-1-1-1110-1100-22-110000001-100
χ44222-122222-1200-1-2-2-2-2-1-1-1-1-2-2-2-222-1-1000000022211-2-2111111-1-100-22-2200000000-1-1-11101-1002-21-1000000-1100
χ4522-2222-2-2-2222220000-2-2-2200002-22-22-2-222-2-200000000000002-200020-2002-200000000000200000-2000-2020000
χ4622-2222-2-2-2222220000-2-2-2200002-22-22-2-222-2-200000000000002-2000-202002-200000000000-200000200020-20000
χ4722-2222-2-2-222-2-220000-2-2-2200002-22-2-222-2-22200000000000002-200020-200-2200000000000200000-200020-20000
χ4822-2222-2-2-222-2-220000-2-2-2200002-22-2-222-2-22200000000000002-2000-20200-2200000000000-2000002000-2020000
χ4922-222-22-2-2222220000-2-2-220000-22-22-22-222-2-20000000000000-220020-2000-220000000000200000-2000-20200000
χ5022-222-22-2-2222220000-2-2-220000-22-22-22-222-2-20000000000000-2200-202000-220000000000-200000200020-200000
χ5122-222-22-2-222-2-220000-2-2-220000-22-222-22-2-2220000000000000-220020-20002-20000000000200000-200020-200000
χ5222-222-22-2-222-2-220000-2-2-220000-22-222-22-2-2220000000000000-2200-2020002-20000000000-2000002000-20200000
χ53444-24-4-444-2400-24-400-2-2-2-20000-4-4220000000000-224-40000002200000000000000000-220000000000000000000
χ54444-24-4-444-2400-2-4400-2-2-2-20000-4-42200000000002-2-4400000022000000000000000002-20000000000000000000
χ55444-2-244-2-2-2-20014444-2111-2-2-2-2-2-2-2-200000004-2-2-2-2-2-2-2-211111100000000000000-211110000000000000000000
χ56444-2-244-2-2-2-200144-4-4-21112222-2-2-2-20000000-422-2-2-2-222-1-1-1-111000000000000002-1-1110000000000000000000
χ57444-2-244-2-2-2-2001-4-444-2111-2-2-2-2-2-2-2-20000000-4222222-2-2111111000000000000002-1-1-1-10000000000000000000
χ58444-2-244-2-2-2-2001-4-4-4-4-21112222-2-2-2-200000004-2-2222222-1-1-1-11100000000000000-211-1-10000000000000000000
χ59444-2-2-4-4-2-2-2-20014-400-2111−2i3−2i32i32i3222200000000−2i32i3-22-2200i3i3−i3−i3-1-1000000000000000i3−i31-10000000000000000000
χ60444-2-2-4-4-2-2-2-20014-400-21112i32i3−2i3−2i32222000000002i3−2i3-22-2200−i3−i3i3i3-1-1000000000000000−i3i31-10000000000000000000
χ61444-2-2-4-4-2-2-2-2001-4400-2111−2i3−2i32i32i32222000000002i3−2i32-22-200i3i3−i3−i3-1-1000000000000000−i3i3-110000000000000000000
χ62444-2-2-4-4-2-2-2-2001-4400-21112i32i3−2i3−2i3222200000000−2i32i32-22-200−i3−i3i3i3-1-1000000000000000i3−i3-110000000000000000000
χ6344-44-24-4224-244-20000-422-20000-224-44-4-4-2-2220000000000000-2200000000-220000000000000000000000000000
χ6444-44-24-4224-2-4-4-20000-422-20000-224-4-44422-2-20000000000000-22000000002-20000000000000000000000000000
χ6544-44-2-44224-244-20000-422-200002-2-44-44-4-2-22200000000000002-2000000002-20000000000000000000000000000
χ6644-44-2-44224-2-4-4-20000-422-200002-2-444-4422-2-200000000000002-200000000-220000000000000000000000000000
χ6744-4-244-4-4-4-2400-20000222-200004-4-2200000000000000000000-2200040-4000000000000000-20000020000000000
χ6844-4-244-4-4-4-2400-20000222-200004-4-2200000000000000000000-22000-404000000000000000200000-20000000000
χ6944-4-24-44-4-4-2400-20000222-20000-442-2000000000000000000002-20040-4000000000000000-200000200000000000
χ7044-4-24-44-4-4-2400-20000222-20000-442-2000000000000000000002-200-404000000000000000200000-200000000000
χ714-40440000-4-44i−4i4002i−2i000-42i−2i2i−2i00000004i−4i0000000002i−2i2i−2i2i−2i000000002-2002-22-2000000000000000000000000
χ724-40440000-4-44i−4i400−2i2i000-4−2i2i−2i2i00000004i−4i000000000−2i2i−2i2i−2i2i00000000-2200-22-22000000000000000000000000
χ734-40440000-4-4−4i4i4002i−2i000-42i−2i2i−2i0000000−4i4i0000000002i−2i2i−2i2i−2i00000000-2200-22-22000000000000000000000000
χ744-40440000-4-4−4i4i400−2i2i000-4−2i2i−2i2i0000000−4i4i000000000−2i2i−2i2i−2i2i000000002-2002-22-2000000000000000000000000
χ754-404-200−2i32i3-424i−4i-2002i−2i0−2i32i322ζ7−2ζ72ζ11−2ζ110000000−2i2i23−2300000002i−2i2ζ7−2ζ72ζ11−2ζ11000000002-200−1+i31−i3−1−i31+i3000000000000000000000000
χ764-404-200−2i32i3-424i−4i-200−2i2i0−2i32i32−2ζ72ζ7−2ζ112ζ110000000−2i2i23−230000000−2i2i−2ζ72ζ7−2ζ112ζ1100000000-22001−i3−1+i31+i3−1−i3000000000000000000000000
χ774-404-200−2i32i3-42−4i4i-2002i−2i0−2i32i322ζ7−2ζ72ζ11−2ζ1100000002i−2i−232300000002i−2i2ζ7−2ζ72ζ11−2ζ1100000000-22001−i3−1+i31+i3−1−i3000000000000000000000000
χ784-404-200−2i32i3-42−4i4i-200−2i2i0−2i32i32−2ζ72ζ7−2ζ112ζ1100000002i−2i−23230000000−2i2i−2ζ72ζ7−2ζ112ζ11000000002-200−1+i31−i3−1−i31+i3000000000000000000000000
χ794-404-2002i3−2i3-424i−4i-2002i−2i02i3−2i322ζ11−2ζ112ζ7−2ζ70000000−2i2i−232300000002i−2i2ζ11−2ζ112ζ7−2ζ7000000002-200−1−i31+i3−1+i31−i3000000000000000000000000
χ804-404-2002i3−2i3-424i−4i-200−2i2i02i3−2i32−2ζ112ζ11−2ζ72ζ70000000−2i2i−23230000000−2i2i−2ζ112ζ11−2ζ72ζ700000000-22001+i3−1−i31−i3−1+i3000000000000000000000000
χ814-404-2002i3−2i3-42−4i4i-2002i−2i02i3−2i322ζ11−2ζ112ζ7−2ζ700000002i−2i23−2300000002i−2i2ζ11−2ζ112ζ7−2ζ700000000-22001+i3−1−i31−i3−1+i3000000000000000000000000
χ824-404-2002i3−2i3-42−4i4i-200−2i2i02i3−2i32−2ζ112ζ11−2ζ72ζ700000002i−2i23−230000000−2i2i−2ζ112ζ11−2ζ72ζ7000000002-200−1−i31+i3−1+i31−i3000000000000000000000000
χ8388-8-4-48-844-4-400200004-2-220000-44-44000000000000000000002-200000000000000000000000000000000000000
χ8488-8-4-4-8844-4-400200004-2-2200004-44-400000000000000000000-2200000000000000000000000000000000000000
χ858-80-4800004-800-4004i−4i00044i−4i4i−4i000000000000000000−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ868-80-4800004-800-400−4i4i0004−4i4i−4i4i0000000000000000002i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ878-80-4-400−4i34i344002004i−4i02i3−2i3-24ζ7−4ζ74ζ11−4ζ11000000000000000000−2i2i−2ζ72ζ7−2ζ112ζ110000000000000000000000000000000000000000
χ888-80-4-400−4i34i34400200−4i4i02i3−2i3-2−4ζ74ζ7−4ζ114ζ110000000000000000002i−2i2ζ7−2ζ72ζ11−2ζ110000000000000000000000000000000000000000
χ898-80-4-4004i3−4i344002004i−4i0−2i32i3-24ζ11−4ζ114ζ7−4ζ7000000000000000000−2i2i−2ζ112ζ11−2ζ72ζ70000000000000000000000000000000000000000
χ908-80-4-4004i3−4i34400200−4i4i0−2i32i3-2−4ζ114ζ11−4ζ74ζ70000000000000000002i−2i2ζ11−2ζ112ζ7−2ζ70000000000000000000000000000000000000000

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