Finite Group Databasebeta

← Group #11865008

Character table — Group #11865008

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222222334444444444444444466666668888888888888881212121212121212121212121212161616161624242424242424242424243636363648487272
order122334466664434444666612121212121212122241212121241212121212121212121212121212222244446612121212121212121226666668812122244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111-1-1-1-111111111111-111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111-1-11111-1-1-1-111111111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ511111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-11-111111111-1-1-1-1-1-11-1-1-1-1-11-11-11-11-11-11-1
χ611111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-11-1111111111-1-1-1-1-1-1-11-1-1-1-1-11-11-11-11-11-11
χ711111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-11-11-1-1-111-1-1-1-11-1-11111-1-1-111-111-11-11-1-11-11
χ811111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1-1-11-1-1111-11-1-1111-1-11-11-111-11-1
χ911111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-111-1-1
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
χ1111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-11111-111-1-1111-1-111-1-111-1-1-1-1-1-111
χ1211111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-111-1-11-1-1-1-11111-1-1111111-1-1
χ1311111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-11-1-11-111-1-11
χ1411111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-11-111-11-1-111-1
χ1511111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111-11-111-1-111111-1-111-11-111-1-1-111-1-11-11-111-1
χ1611111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-11-1111-1-111111-1-111-1-1111-1-11-1-111-11-11-1-11
χ1722222-2-222222222-20022220000-2-2-2-2-2-22222202-2002-2000000-2-22-2000000-2-2000002-2000002-200000000000000
χ1822222-2-22222222-220022220000-2-2-2-2-2-2222220-2200-22000000-2-2-22000000-2-200000-2200000-2200000000000000
χ1922222-2-22222-2-222-20022220000-2-2-2-222-2-2-2-2-202-2002-2000000-2-2-2200000022000002-200000-2200000000000000
χ2022222-2-22222-2-22-220022220000-2-2-2-222-2-2-2-2-20-2200-22000000-2-22-20000002200000-22000002-200000000000000
χ212222-122-1-1-1222-122222-1-1-1-1-1-1-1-1-122222-1-1-1-12-1-1-1-12222-1-1-1-1-1-122000022-1-1-1-1-1-12-1-1-1-1200-1-1-1-1000000000000
χ222222-122-1-1-1222-122-2-22-1-1-11111-1-122222-1-1-1-1-2-1-11122-2-21111-1-1220000-2-2-1-11111-2-1-111-200-1-111000000000000
χ232222-122-1-1-1222-1-2-2222-1-1-1-1-1-1-1-1-122222-1-1-1-1-21111-2-222-1-1-1-1-1-1-2-2000022-1-1-1-1-1-1-21111-2001111000000000000
χ242222-122-1-1-1222-1-2-2-2-22-1-1-11111-1-122222-1-1-1-1211-1-1-2-2-2-21111-1-1-2-20000-2-2-1-11111211-1-120011-1-1000000000000
χ252222-122-1-1-12-2-2-122222-1-1-1-1-1-1-1-1-122-2-2-211112-1-1-1-12222-1-1-1-1-1-1-2-20000-2-21111112-1-1-1-1-2001111000000000000
χ262222-122-1-1-12-2-2-122-2-22-1-1-11111-1-122-2-2-21111-2-1-11122-2-21111-1-1-2-200002211-1-1-1-1-2-1-11120011-1-1000000000000
χ272222-122-1-1-12-2-2-1-2-2222-1-1-1-1-1-1-1-1-122-2-2-21111-21111-2-222-1-1-1-1-1-1220000-2-2111111-21111200-1-1-1-1000000000000
χ282222-122-1-1-12-2-2-1-2-2-2-22-1-1-11111-1-122-2-2-21111211-1-1-2-2-2-21111-1-12200002211-1-1-1-1211-1-1-200-1-111000000000000
χ292222-1-2-2-1-1-1222-12-2002-1-1-1−i3−i3i3i311-2-2-2-22-1-1-1-10-11−i3i32-200−i3−i3i3i3112-200000011−i3−i3i3i30-11−i3i3000-11−i3i3000000000000
χ302222-1-2-2-1-1-1222-12-2002-1-1-1i3i3−i3−i311-2-2-2-22-1-1-1-10-11i3−i32-200i3i3−i3−i3112-200000011i3i3−i3−i30-11i3−i3000-11i3−i3000000000000
χ312222-1-2-2-1-1-1222-1-22002-1-1-1−i3−i3i3i311-2-2-2-22-1-1-1-101-1i3−i3-2200−i3−i3i3i311-2200000011−i3−i3i3i301-1i3−i30001-1i3−i3000000000000
χ322222-1-2-2-1-1-1222-1-22002-1-1-1i3i3−i3−i311-2-2-2-22-1-1-1-101-1−i3i3-2200i3i3−i3−i311-2200000011i3i3−i3−i301-1−i3i30001-1−i3i3000000000000
χ332222-1-2-2-1-1-12-2-2-12-2002-1-1-1−i3−i3i3i311-2-222-211110-11−i3i32-200−i3−i3i3i311-22000000-1-1i3i3−i3−i30-11−i3i30001-1i3−i3000000000000
χ342222-1-2-2-1-1-12-2-2-12-2002-1-1-1i3i3−i3−i311-2-222-211110-11i3−i32-200i3i3−i3−i311-22000000-1-1−i3−i3i3i30-11i3−i30001-1−i3i3000000000000
χ352222-1-2-2-1-1-12-2-2-1-22002-1-1-1−i3−i3i3i311-2-222-2111101-1i3−i3-2200−i3−i3i3i3112-2000000-1-1i3i3−i3−i301-1i3−i3000-11−i3i3000000000000
χ362222-1-2-2-1-1-12-2-2-1-22002-1-1-1i3i3−i3−i311-2-222-2111101-1−i3i3-2200i3i3−i3−i3112-2000000-1-1−i3−i3i3i301-1−i3i3000-11i3−i3000000000000
χ37222-1222222-100-12222-1-1-1-1222222-1-1000000022222-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-1-10-1-1000022-1-10000-1-100
χ38222-1222222-100-12222-1-1-1-1222222-1-1000000022222-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-1-1-1-1-10110000-2-21100001100
χ39222-1222222-100-122-2-2-1-1-1-1-2-2-2-222-1-10000000-222-2-2-1-1111111-1-1002222000000001-1-1110-1-10000-2-2-1-100001100
χ40222-1222222-100-122-2-2-1-1-1-1-2-2-2-222-1-10000000-222-2-2-1-1111111-1-100-2-2-2-2000000001-1-111011000022110000-1-100
χ41222-1222222-100-1-2-222-1-1-1-1222222-1-10000000-2-2-2-2-211-1-1-1-1-1-1-1-1002-22-200000000111110-1100002-2-110000-1100
χ42222-1222222-100-1-2-222-1-1-1-1222222-1-10000000-2-2-2-2-211-1-1-1-1-1-1-1-100-22-22000000001111101-10000-221-100001-100
χ43222-1222222-100-1-2-2-2-2-1-1-1-1-2-2-2-222-1-100000002-2-22211111111-1-1002-22-200000000-111-1-10-110000-22-1100001-100
χ44222-1222222-100-1-2-2-2-2-1-1-1-1-2-2-2-222-1-100000002-2-22211111111-1-100-22-2200000000-111-1-101-100002-21-10000-1100
χ4522-2222-2-2-2222220000-2-2-2200002-22-22-2-222-2-200000000000002-200020-2002-20000000000020000000-20-2020000
χ4622-2222-2-2-2222220000-2-2-2200002-22-22-2-222-2-200000000000002-2000-202002-200000000000-200000002020-20000
χ4722-2222-2-2-222-2-220000-2-2-2200002-22-2-222-2-22200000000000002-200020-200-220000000000020000000-2020-20000
χ4822-2222-2-2-222-2-220000-2-2-2200002-22-2-222-2-22200000000000002-2000-20200-2200000000000-2000000020-2020000
χ4922-222-22-2-2222220000-2-2-220000-22-22-22-222-2-20000000000000-220020-2000-22000000000020000000-20-20200000
χ5022-222-22-2-2222220000-2-2-220000-22-22-22-222-2-20000000000000-2200-202000-220000000000-200000002020-200000
χ5122-222-22-2-222-2-220000-2-2-220000-22-222-22-2-2220000000000000-220020-20002-2000000000020000000-2020-200000
χ5222-222-22-2-222-2-220000-2-2-220000-22-222-22-2-2220000000000000-2200-2020002-20000000000-2000000020-20200000
χ53444-24-4-4444-200-24-400-2-2-2-20000-4-422000000004-400-2200000022000000000000000-22000000000000000000000
χ54444-24-4-4444-200-2-4400-2-2-2-20000-4-42200000000-44002-2000000220000000000000002-2000000000000000000000
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
χ56444-2-244-2-2-2-200144-4-4-21112222-2-2-2-20000000-4-2-222-2-222-1-1-1-11100000000000000211-1-10000000000000000000
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
χ58444-2-244-2-2-2-2001-4-4-4-4-21112222-2-2-2-20000000422-2-22222-1-1-1-11100000000000000-2-1-1110000000000000000000
χ59444-2-2-4-4-2-2-2-20014-400-2111−2i3−2i32i32i3222200000000-22−2i32i3-2200i3i3−i3−i3-1-10000000000000001-1i3−i30000000000000000000
χ60444-2-2-4-4-2-2-2-20014-400-21112i32i3−2i3−2i3222200000000-222i3−2i3-2200−i3−i3i3i3-1-10000000000000001-1−i3i30000000000000000000
χ61444-2-2-4-4-2-2-2-2001-4400-2111−2i3−2i32i32i32222000000002-22i3−2i32-200i3i3−i3−i3-1-1000000000000000-11−i3i30000000000000000000
χ62444-2-2-4-4-2-2-2-2001-4400-21112i32i3−2i3−2i32222000000002-2−2i32i32-200−i3−i3i3i3-1-1000000000000000-11i3−i30000000000000000000
χ6344-44-24-422-2444-20000-422-20000-224-44-4-4-2-2220000000000000-2200000000-220000000000000000000000000000
χ6444-44-24-422-24-4-4-20000-422-20000-224-4-44422-2-20000000000000-22000000002-20000000000000000000000000000
χ6544-44-2-4422-2444-20000-422-200002-2-44-44-4-2-22200000000000002-2000000002-20000000000000000000000000000
χ6644-44-2-4422-24-4-4-20000-422-200002-2-444-4422-2-200000000000002-200000000-220000000000000000000000000000
χ6744-4-244-4-4-44-200-20000222-200004-4-2200000000000000000000-2200040-4000000000000000-20000000200000000
χ6844-4-244-4-4-44-200-20000222-200004-4-2200000000000000000000-22000-40400000000000000020000000-200000000
χ6944-4-24-44-4-44-200-20000222-20000-442-2000000000000000000002-20040-4000000000000000-200000002000000000
χ7044-4-24-44-4-44-200-20000222-20000-442-2000000000000000000002-200-40400000000000000020000000-2000000000
χ714-40440000-4-44i−4i4002-2000-42-22-200000004i−4i0000000002-22-22-2000000002i−2i002i−2i2i−2i000000000000000000000000
χ724-40440000-4-44i−4i400-22000-4-22-2200000004i−4i000000000-22-22-2200000000−2i2i00−2i2i−2i2i000000000000000000000000
χ734-40440000-4-4−4i4i4002-2000-42-22-20000000−4i4i0000000002-22-22-200000000−2i2i00−2i2i−2i2i000000000000000000000000
χ744-40440000-4-4−4i4i400-22000-4-22-220000000−4i4i000000000-22-22-22000000002i−2i002i−2i2i−2i000000000000000000000000
χ754-404-200−2i32i32-44i−4i-2002-20−2i32i32−1−i31+i3−1+i31−i30000000−2i2i23−2300000002-2−1−i31+i3−1+i31−i3000000002i−2i002ζ11−2ζ112ζ7−2ζ7000000000000000000000000
χ764-404-200−2i32i32-44i−4i-200-220−2i32i321+i3−1−i31−i3−1+i30000000−2i2i23−230000000-221+i3−1−i31−i3−1+i300000000−2i2i00−2ζ112ζ11−2ζ72ζ7000000000000000000000000
χ774-404-200−2i32i32-4−4i4i-2002-20−2i32i32−1−i31+i3−1+i31−i300000002i−2i−232300000002-2−1−i31+i3−1+i31−i300000000−2i2i00−2ζ112ζ11−2ζ72ζ7000000000000000000000000
χ784-404-200−2i32i32-4−4i4i-200-220−2i32i321+i3−1−i31−i3−1+i300000002i−2i−23230000000-221+i3−1−i31−i3−1+i3000000002i−2i002ζ11−2ζ112ζ7−2ζ7000000000000000000000000
χ794-404-2002i3−2i32-44i−4i-2002-202i3−2i32−1+i31−i3−1−i31+i30000000−2i2i−232300000002-2−1+i31−i3−1−i31+i3000000002i−2i002ζ7−2ζ72ζ11−2ζ11000000000000000000000000
χ804-404-2002i3−2i32-44i−4i-200-2202i3−2i321−i3−1+i31+i3−1−i30000000−2i2i−23230000000-221−i3−1+i31+i3−1−i300000000−2i2i00−2ζ72ζ7−2ζ112ζ11000000000000000000000000
χ814-404-2002i3−2i32-4−4i4i-2002-202i3−2i32−1+i31−i3−1−i31+i300000002i−2i23−2300000002-2−1+i31−i3−1−i31+i300000000−2i2i00−2ζ72ζ7−2ζ112ζ11000000000000000000000000
χ824-404-2002i3−2i32-4−4i4i-200-2202i3−2i321−i3−1+i31+i3−1−i300000002i−2i23−230000000-221−i3−1+i31+i3−1−i3000000002i−2i002ζ7−2ζ72ζ11−2ζ11000000000000000000000000
χ8388-8-4-48-844-4-400200004-2-220000-44-44000000000000000000002-200000000000000000000000000000000000000
χ8488-8-4-4-8844-4-400200004-2-2200004-44-400000000000000000000-2200000000000000000000000000000000000000
χ858-80-480000-8400-4004-400044-44-4000000000000000000-22-22-220000000000000000000000000000000000000000
χ868-80-480000-8400-400-440004-44-440000000000000000002-22-22-20000000000000000000000000000000000000000
χ878-80-4-400−4i34i344002004-402i3−2i3-2−2−2i32+2i3−2+2i32−2i3000000000000000000-221+i3−1−i31−i3−1+i30000000000000000000000000000000000000000
χ888-80-4-400−4i34i34400200-4402i3−2i3-22+2i3−2−2i32−2i3−2+2i30000000000000000002-2−1−i31+i3−1+i31−i30000000000000000000000000000000000000000
χ898-80-4-4004i3−4i344002004-40−2i32i3-2−2+2i32−2i3−2−2i32+2i3000000000000000000-221−i3−1+i31+i3−1−i30000000000000000000000000000000000000000
χ908-80-4-4004i3−4i34400200-440−2i32i3-22−2i3−2+2i32+2i3−2−2i30000000000000000002-2−1+i31−i3−1−i31+i30000000000000000000000000000000000000000

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