Finite Group Databasebeta

← Group #11865310

Character table — Group #11865310

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222222334444444444444444466666668888888888888881212121212121212121212121212161616161624242424242424242424243636363648487272
order1222233666644222346666666666664441212121246666666666121212122224444412121212121261212121244466612121212122244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111-1-1111111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1
χ3111111111111111-11-11111111111111111111-1-111-1111111-1-1-1-1-11-111-11-1111111-1-1-1-1-1-11-1-11-1-1-11-1-11-11-11-11-1
χ4111111111111111-11-11111111111111111111-1-111-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-11-1-11-1-1-11-1-11-11-11-11
χ51111111111111-1-111111-1-1-1-11111111111111-11-1-1111-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1-1-1111-1-11111111-1-1-1-1
χ61111111111111-1-111111-1-1-1-11111111111111-11-1-1111-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111
χ71111111111111-1-1-11-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11-111-1-1-1-1-1-11111-11-11-1111-1-11-11-1-11-11
χ81111111111111-1-1-11-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111111-1-1-1111-11-1-11-111-11-1
χ911111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111111-111-1-1-111-1-1-1-1-1-111111-111-111-1-111-1-1-1-1-111-1-1
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
χ1111111111111-1-111-11-1111111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1111-11-11-111-1-11
χ1211111111111-1-111-11-1111111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-11-11-1-11-11-1-1-1-1-1-1-1-1-1-1-11-111-1111-1111-11-1-111-1
χ1311111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-11111-111-1-1111111-1-1-11-1-1-1111111-1-1-1-1-1-1-111
χ1411111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1111-1-1-111-1-1-1111111-1-1
χ1511111111111-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-111-11111-1-1-11111-1-1111-1-1111-1-1-11-11-11-11-111-1
χ1611111111111-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11-11111-11-1-11111-1-1111-11-11-11-1-1-1111-11-11-1-11
χ17222222-122-1200222-12222222-1-1-1-1-1-1000000022-1-1-1-1-1-1-1-1-122-1202200022000000-1-1-1-1-10220-1-100-1-100000-1-100
χ18222222-122-1200222-12222222-1-1-1-1-1-1000000022-1-1-1-1-1-1-1-1-122-120-2-2000-2-2000000-1-1-1-1-10-2-20110011000001100
χ19222222-122-120022-2-1-2222222-1-1-1-1-1-10000000-2-2-1-11-1-1-1-1-1-1-2-21-202-20002-20000001111102-20-1100-1100000-1100
χ20222222-122-120022-2-1-2222222-1-1-1-1-1-10000000-2-2-1-11-1-1-1-1-1-1-2-21-20-22000-22000000111110-2201-1001-1000001-100
χ21222222-122-1200-2-22-1222-2-2-2-2-1-1-1-1-1-10000000-2211-1-1-11111-2-2-1202200022000000-1-11110-2-20-1-100-1-1000001100
χ22222222-122-1200-2-22-1222-2-2-2-2-1-1-1-1-1-10000000-2211-1-1-11111-2-2-120-2-2000-2-2000000-1-1111022011001100000-1-100
χ23222222-122-1200-2-2-2-1-222-2-2-2-2-1-1-1-1-1-100000002-2111-1-11111221-202-20002-200000011-1-1-10-220-1100-11000001-100
χ24222222-122-1200-2-2-2-1-222-2-2-2-2-1-1-1-1-1-100000002-2111-1-11111221-20-22000-2200000011-1-1-102-201-1001-100000-1100
χ2522222-12-1-12-122222-12-1-1-1-1-1-12-1-1-122222-1-1-1-12-1222-1-1-1-1-1-1-1-12-120022200-1-1-1-1-1-1-1-12-1-1200-100-1-100-100000000
χ2622222-12-1-12-12222-2-1-2-1-1-1-1-1-12-1-1-122222-1-1-1-1-2122-2-1-1-1-1-1-111-21-20022-200-1-1-1-1-1-111-211-2001001100100000000
χ2722222-12-1-12-122-2-22-12-1-111112-1-1-122222-1-1-1-1-2-1-2-22-1-11111112-1200-2-2200-1-11111-1-1-211-200-1001100-100000000
χ2822222-12-1-12-122-2-2-2-1-2-1-111112-1-1-122222-1-1-1-121-2-2-2-1-11111-1-1-21-200-2-2-200-1-11111112-1-1200100-1-100100000000
χ2922222-12-1-12-1-2-2222-12-1-1-1-1-1-12-1-1-122-2-2-211112-1222-1-1-1-1-1-1-1-12-1-200-2-2-200111111-1-12-1-1-2001001100100000000
χ3022222-12-1-12-1-2-222-2-1-2-1-1-1-1-1-12-1-1-122-2-2-21111-2122-2-1-1-1-1-1-111-21200-2-220011111111-211200-100-1-100-100000000
χ3122222-12-1-12-1-2-2-2-22-12-1-111112-1-1-122-2-2-21111-2-1-2-22-1-11111112-1-20022-20011-1-1-1-1-1-1-211200100-1-100100000000
χ3222222-12-1-12-1-2-2-2-2-2-1-2-1-111112-1-1-122-2-2-2111121-2-2-2-1-11111-1-1-212002220011-1-1-1-1112-1-1-200-1001100-100000000
χ33222-2-2222222220022-2-2-200002222-2-22-2-2222202002-2-2000000-2-2-20000200-2-200002-2000000-2000000200000000
χ34222-2-22222222200-222-2-200002222-2-22-2-222220-200-2-2-20000002220000-200-2-20000-220000002000000-200000000
χ35222-2-2222222-2-20022-2-2-200002222-2-2-222-2-2-2-202002-2-2000000-2-220000-2002200002-20000002000000-200000000
χ36222-2-2222222-2-200-222-2-200002222-2-2-222-2-2-2-20-200-2-2-200000022-20000200220000-22000000-2000000200000000
χ37222-2-2-12-1-12-122002-1-211−i3−i3i3i32-1-1-1-2-22-2-2-1-1-1-10-100211−i3−i3i3i3−i3i3-21-2000020011−i3−i3i3i3-110−i3i3000100−i3i300-100000000
χ38222-2-2-12-1-12-122002-1-211i3i3−i3−i32-1-1-1-2-22-2-2-1-1-1-10-100211i3i3−i3−i3i3−i3-21-2000020011i3i3−i3−i3-110i3−i3000100i3−i300-100000000
χ39222-2-2-12-1-12-12200-2-1211−i3−i3i3i32-1-1-1-2-22-2-2-1-1-1-10100-211−i3−i3i3i3i3−i32-120000-20011−i3−i3i3i31-10i3−i3000-100i3−i300100000000
χ40222-2-2-12-1-12-12200-2-1211i3i3−i3−i32-1-1-1-2-22-2-2-1-1-1-10100-211i3i3−i3−i3−i3i32-120000-20011i3i3−i3−i31-10−i3i3000-100−i3i300100000000
χ41222-2-2-12-1-12-1-2-2002-1-211−i3−i3i3i32-1-1-1-2-2-22211110-100211−i3−i3i3i3−i3i3-2120000-200-1-1i3i3−i3−i3-110−i3i3000-100i3−i300100000000
χ42222-2-2-12-1-12-1-2-2002-1-211i3i3−i3−i32-1-1-1-2-2-22211110-100211i3i3−i3−i3i3−i3-2120000-200-1-1−i3−i3i3i3-110i3−i3000-100−i3i300100000000
χ43222-2-2-12-1-12-1-2-200-2-1211−i3−i3i3i32-1-1-1-2-2-22211110100-211−i3−i3i3i3i3−i32-1-20000200-1-1i3i3−i3−i31-10i3−i3000100−i3i300-100000000
χ44222-2-2-12-1-12-1-2-200-2-1211i3i3−i3−i32-1-1-1-2-2-22211110100-211i3i3−i3−i3−i3i32-1-20000200-1-1−i3−i3i3i31-10−i3i3000100i3−i300-100000000
χ4522-22-222-2-22222000202-20000-22-2-22-2-22-222-2-2000002-2000000000020000-22-2000000000000002000-200-2020000
χ4622-22-222-2-22222000202-20000-22-2-22-2-22-222-2-2000002-20000000000-2000022-200000000000000-200020020-20000
χ4722-22-222-2-222-2-2000202-20000-22-2-22-22-22-2-222000002-2000000000020000-2-22000000000000002000-20020-20000
χ4822-22-222-2-222-2-2000202-20000-22-2-22-22-22-2-222000002-20000000000-200002-2200000000000000-2000200-2020000
χ4922-2-2222-2-2222200020-220000-22-2-2-22-2-2222-2-200000-2200000000020000-20-2200000000000002000-200-20200000
χ5022-2-2222-2-2222200020-220000-22-2-2-22-2-2222-2-200000-22000000000-2000020-220000000000000-200020020-200000
χ5122-2-2222-2-222-2-200020-220000-22-2-2-2222-2-2-22200000-2200000000020000-202-200000000000002000-20020-200000
χ5222-2-2222-2-222-2-200020-220000-22-2-2-2222-2-2-22200000-22000000000-20000202-20000000000000-2000200-20200000
χ5344444-2-2-2-2-2-20044414-2-2-2-2-2-2-2111-2-200000004-2-2-2-2111111-2-2-2-20000000000000011-2110000000000000000000
χ5444444-2-2-2-2-2-20044-41-4-2-2-2-2-2-2-2111-2-20000000-42-2-22111111222200000000000000-1-12-1-10000000000000000000
χ5544444-2-2-2-2-2-200-4-4414-2-22222-2111-2-20000000-4-222-211-1-1-1-122-2-200000000000000112-1-10000000000000000000
χ5644444-2-2-2-2-2-200-4-4-41-4-2-22222-2111-2-200000004222211-1-1-1-1-2-22200000000000000-1-1-2110000000000000000000
χ57444-4-44-244-2400004-2-4-4-40000-2-2-2-22200000000400-2220000002-400000000000000-220000000000000000000000
χ58444-4-44-244-240000-4-24-4-40000-2-2-2-22200000000-400222000000-24000000000000002-20000000000000000000000
χ59444-4-4-2-2-2-2-2-2000041-422−2i3−2i32i32i3-21112200000000-200-2-1-1i3i3−i3−i3−2i32i322000000000000001-10i3−i30000000000000000000
χ60444-4-4-2-2-2-2-2-2000041-4222i32i3−2i3−2i3-21112200000000-200-2-1-1−i3−i3i3i32i3−2i322000000000000001-10−i3i30000000000000000000
χ61444-4-4-2-2-2-2-2-20000-41422−2i3−2i32i32i3-211122000000002002-1-1i3i3−i3−i32i3−2i3-2-200000000000000-110−i3i30000000000000000000
χ62444-4-4-2-2-2-2-2-20000-414222i32i3−2i3−2i3-211122000000002002-1-1−i3−i3i3i3−2i32i3-2-200000000000000-110i3−i30000000000000000000
χ6344-44-44-2-4-4-2400000-204-400002-222-22000000000000-22000000000040000-40000000000000000-20002000000000
χ6444-44-44-2-4-4-2400000-204-400002-222-22000000000000-220000000000-40000400000000000000002000-2000000000
χ6544-44-4-24224-244000-20-220000-4-2224-4-44-4-2-22200000-220000000000000000-220000000000000000000000000000
χ6644-44-4-24224-2-4-4000-20-220000-4-2224-44-4422-2-200000-2200000000000000002-20000000000000000000000000000
χ6744-4-444-2-4-4-2400000-20-4400002-2222-20000000000002-200000000040000-40000000000000000-200020000000000
χ6844-4-444-2-4-4-2400000-20-4400002-2222-20000000000002-2000000000-40000400000000000000002000-20000000000
χ6944-4-44-24224-244000-202-20000-4-222-44-4-44-2-222000002-200000000000000002-20000000000000000000000000000
χ7044-4-44-24224-2-4-4000-202-20000-4-222-4444-422-2-2000002-20000000000000000-220000000000000000000000000000
χ714-40004400-4-44i−4i2-2040002-22-20-400000004i−4i00002-20002-22-200000002i−2i000002i−2i2i−2i000000000000000000000000
χ724-40004400-4-44i−4i-2204000-22-220-400000004i−4i0000-22000-22-220000000−2i2i00000−2i2i−2i2i000000000000000000000000
χ734-40004400-4-4−4i4i2-2040002-22-20-40000000−4i4i00002-20002-22-20000000−2i2i00000−2i2i−2i2i000000000000000000000000
χ744-40004400-4-4−4i4i-2204000-22-220-40000000−4i4i0000-22000-22-2200000002i−2i000002i−2i2i−2i000000000000000000000000
χ754-4000-24−2i32i3-424i−4i2-20-2000−1−i31+i3−1+i31−i302−2i32i300000−2i2i23−23002-2000−1−i31+i3−1+i31−i300000002i−2i000002ζ11−2ζ112ζ7−2ζ7000000000000000000000000
χ764-4000-24−2i32i3-424i−4i-220-20001+i3−1−i31−i3−1+i302−2i32i300000−2i2i23−2300-220001+i3−1−i31−i3−1+i30000000−2i2i00000−2ζ112ζ11−2ζ72ζ7000000000000000000000000
χ774-4000-24−2i32i3-42−4i4i2-20-2000−1−i31+i3−1+i31−i302−2i32i3000002i−2i−2323002-2000−1−i31+i3−1+i31−i30000000−2i2i00000−2ζ112ζ11−2ζ72ζ7000000000000000000000000
χ784-4000-24−2i32i3-42−4i4i-220-20001+i3−1−i31−i3−1+i302−2i32i3000002i−2i−232300-220001+i3−1−i31−i3−1+i300000002i−2i000002ζ11−2ζ112ζ7−2ζ7000000000000000000000000
χ794-4000-242i3−2i3-424i−4i2-20-2000−1+i31−i3−1−i31+i3022i3−2i300000−2i2i−2323002-2000−1+i31−i3−1−i31+i300000002i−2i000002ζ7−2ζ72ζ11−2ζ11000000000000000000000000
χ804-4000-242i3−2i3-424i−4i-220-20001−i3−1+i31+i3−1−i3022i3−2i300000−2i2i−232300-220001−i3−1+i31+i3−1−i30000000−2i2i00000−2ζ72ζ7−2ζ112ζ11000000000000000000000000
χ814-4000-242i3−2i3-42−4i4i2-20-2000−1+i31−i3−1−i31+i3022i3−2i3000002i−2i23−23002-2000−1+i31−i3−1−i31+i30000000−2i2i00000−2ζ72ζ7−2ζ112ζ11000000000000000000000000
χ824-4000-242i3−2i3-42−4i4i-220-20001−i3−1+i31+i3−1−i3022i3−2i3000002i−2i23−2300-220001−i3−1+i31+i3−1−i300000002i−2i000002ζ7−2ζ72ζ11−2ζ11000000000000000000000000
χ8388-88-8-4-444-4-40000020-44000042-2-2-440000000000002-20000000000000000000000000000000000000000000000
χ8488-8-88-4-444-4-400000204-4000042-2-24-4000000000000-220000000000000000000000000000000000000000000000
χ858-80008-4004-8004-40-40004-44-4040000000000000-22000-22-22000000000000000000000000000000000000000000
χ868-80008-4004-800-440-4000-44-440400000000000002-20002-22-2000000000000000000000000000000000000000000
χ878-8000-4-4−4i34i344004-402000−2−2i32+2i3−2+2i32−2i30-22i3−2i300000000000-220001+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000
χ888-8000-4-4−4i34i34400-44020002+2i3−2−2i32−2i3−2+2i30-22i3−2i3000000000002-2000−1−i31+i3−1+i31−i3000000000000000000000000000000000000000000
χ898-8000-4-44i3−4i344004-402000−2+2i32−2i3−2−2i32+2i30-2−2i32i300000000000-220001−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000
χ908-8000-4-44i3−4i34400-44020002−2i3−2+2i32+2i3−2−2i30-2−2i32i3000000000002-2000−1+i31−i3−1−i31+i3000000000000000000000000000000000000000000

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