Finite Group Databasebeta

← Group #11798629

Character table — Group #11798629

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112224444448888888888881616161624242424484811222444444888888888888161616162424242448481122244444488888888888816161616242424244848
order122362246121224446666121212128122424224444366366612612126121212666612121212241224246612121212366366612612126121212666612121212241224246612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1111111-1-1-1-1-1-11-11-11-11111111111111-1-1111111-1-1-1-1-1-11-11-11-11111111111111-1-1111111-1-1-1-1-1-11-11-11-1
χ41111111111111-1-1111111-1-1-1-1-1-1-11-11-111111111111111-1-1111111-1-1-1-1-1-1-11-11-111111111111111-1-1111111-1-1-1-1-1-1-11-11-11
χ511111111111-1-11111-1-1-1-111-11-1-11111-1-111111111111-1-11111-1-1-1-111-11-1-11111-1-111111111111-1-11111-1-1-1-111-11-1-11111-1-1
χ611111111111-1-11111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-11111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-11111-1-1-1-111-11-1-1-1-1-1-111
χ711111111111-1-1-1-111-1-1-1-1-1-11-1111-11-1-1111111111111-1-1-1-111-1-1-1-1-1-11-1111-11-1-1111111111111-1-1-1-111-1-1-1-1-1-11-1111-11-1-11
χ811111111111-1-1-1-111-1-1-1-1-1-11-111-11-111-111111111111-1-1-1-111-1-1-1-1-1-11-111-11-111-111111111111-1-1-1-111-1-1-1-1-1-11-111-11-111-1
χ9222222-2-22-2-200002-20000000000020-200222222-2-22-2-200002-20000000000020-200222222-2-22-2-200002-20000000000020-200
χ10222222-2-22-2-200002-200000000000-20200222222-2-22-2-200002-200000000000-20200222222-2-22-2-200002-200000000000-20200
χ1122222-22-22-2-20000-22000000000020-200022222-22-22-2-20000-22000000000020-200022222-22-22-2-20000-22000000000020-2000
χ1222222-22-22-2-20000-220000000000-20200022222-22-22-2-20000-220000000000-20200022222-22-22-2-20000-220000000000-202000
χ1322222-2-22222002-2-2-20000-2-2020000000022222-2-22222002-2-2-20000-2-2020000000022222-2-22222002-2-2-20000-2-20200000000
χ1422222-2-2222200-22-2-20000220-20000000022222-2-2222200-22-2-20000220-20000000022222-2-2222200-22-2-20000220-200000000
χ15222-1-1222-1-1-12222-1-1-1-1-1-1-1-12-1-1-1000000222-1-1222-1-1-12222-1-1-1-1-1-1-1-12-1-1-1000000222-1-1222-1-1-12222-1-1-1-1-1-1-1-12-1-1-1000000
χ16222-1-1222-1-1-122-2-2-1-1-1-1-1-111-2111000000222-1-1222-1-1-122-2-2-1-1-1-1-1-111-2111000000222-1-1222-1-1-122-2-2-1-1-1-1-1-111-2111000000
χ17222-1-1222-1-1-1-2-222-1-11111-1-1-2-111000000222-1-1222-1-1-1-2-222-1-11111-1-1-2-111000000222-1-1222-1-1-1-2-222-1-11111-1-1-2-111000000
χ18222-1-1222-1-1-1-2-2-2-2-1-111111121-1-1000000222-1-1222-1-1-1-2-2-2-2-1-111111121-1-1000000222-1-1222-1-1-1-2-2-2-2-1-111111121-1-1000000
χ19222-1-1-2-22-1-1-1002-211−i3i3−i3i3110-1−i3i3000000222-1-1-2-22-1-1-1002-211−i3i3−i3i3110-1−i3i3000000222-1-1-2-22-1-1-1002-211−i3i3−i3i3110-1−i3i3000000
χ20222-1-1-2-22-1-1-1002-211i3−i3i3−i3110-1i3−i3000000222-1-1-2-22-1-1-1002-211i3−i3i3−i3110-1i3−i3000000222-1-1-2-22-1-1-1002-211i3−i3i3−i3110-1i3−i3000000
χ21222-1-1-2-22-1-1-100-2211−i3i3−i3i3-1-101i3−i3000000222-1-1-2-22-1-1-100-2211−i3i3−i3i3-1-101i3−i3000000222-1-1-2-22-1-1-100-2211−i3i3−i3i3-1-101i3−i3000000
χ22222-1-1-2-22-1-1-100-2211i3−i3i3−i3-1-101−i3i3000000222-1-1-2-22-1-1-100-2211i3−i3i3−i3-1-101−i3i3000000222-1-1-2-22-1-1-100-2211i3−i3i3−i3-1-101−i3i3000000
χ23444-2-24-4-4-2220000-220000000000000000444-2-24-4-4-2220000-220000000000000000444-2-24-4-4-2220000-220000000000000000
χ24444-2-2-44-4-22200002-20000000000000000444-2-2-44-4-22200002-20000000000000000444-2-2-44-4-22200002-20000000000000000
χ2544-444000-4002-2000022-2-200000000000044-444000-4002-2000022-2-200000000000044-444000-4002-2000022-2-2000000000000
χ2644-444000-400-220000-2-22200000000000044-444000-400-220000-2-22200000000000044-444000-400-220000-2-222000000000000
χ2744-4-2-20002−2i32i32-20000−1−i3−1+i31+i31−i300000000000044-4-2-20002−2i32i32-20000−1−i3−1+i31+i31−i300000000000044-4-2-20002−2i32i32-20000−1−i3−1+i31+i31−i3000000000000
χ2844-4-2-20002−2i32i3-2200001+i31−i3−1−i3−1+i300000000000044-4-2-20002−2i32i3-2200001+i31−i3−1−i3−1+i300000000000044-4-2-20002−2i32i3-2200001+i31−i3−1−i3−1+i3000000000000
χ2944-4-2-200022i3−2i32-20000−1+i3−1−i31−i31+i300000000000044-4-2-200022i3−2i32-20000−1+i3−1−i31−i31+i300000000000044-4-2-200022i3−2i32-20000−1+i3−1−i31−i31+i3000000000000
χ3044-4-2-200022i3−2i3-2200001−i31+i3−1+i3−1−i300000000000044-4-2-200022i3−2i3-2200001−i31+i3−1+i3−1−i300000000000044-4-2-200022i3−2i3-2200001−i31+i3−1+i3−1−i3000000000000
χ318-808-800000000000000000000000000008-808-800000000000000000000000000008-808-80000000000000000000000000000
χ328-80-44000000000000000023−2300000000008-80-44000000000000000023−2300000000008-80-44000000000000000023−230000000000
χ338-80-440000000000000000−232300000000008-80-440000000000000000−232300000000008-80-440000000000000000−23230000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ35111111111111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ361111111111111-1-1111111-1-1-1-1-1-11-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ371111111111111-1-1111111-1-1-1-1-1-1-11-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ3811111111111-1-11111-1-1-1-111-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3911111111111-1-11111-1-1-1-111-11-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4011111111111-1-1-1-111-1-1-1-1-1-11-1111-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ4111111111111-1-1-1-111-1-1-1-1-1-11-111-11-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ42222222-2-22-2-200002-20000000000020-200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i300000000000−1+i301−i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i300000000000−1−i301+i300
χ43222222-2-22-2-200002-200000000000-20200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i3000000000001−i30−1+i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i3000000000001+i30−1−i300
χ4422222-22-22-2-20000-22000000000020-2000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300001−i3−1+i30000000000−1+i301−i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300001+i3−1−i30000000000−1−i301+i3000
χ4522222-22-22-2-20000-220000000000-202000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300001−i3−1+i300000000001−i30−1+i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300001+i3−1−i300000000001+i30−1−i3000
χ4622222-2-22222002-2-2-20000-2-20200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i300−1+i31−i31−i31−i300001−i31−i30−1+i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i300−1−i31+i31+i31+i300001+i31+i30−1−i300000000
χ4722222-2-2222200-22-2-20000220-200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i31−i31−i30000−1+i3−1+i301−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i31+i31+i30000−1−i3−1−i301+i300000000
χ48222-1-1222-1-1-12222-1-1-1-1-1-1-1-12-1-1-1000000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i32000000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i32000000
χ49222-1-1222-1-1-122-2-2-1-1-1-1-1-111-2111000000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32000000
χ50222-1-1222-1-1-1-2-222-1-11111-1-1-2-111000000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i32−1+i32−1+i32000000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i32−1−i32−1−i32000000
χ51222-1-1222-1-1-1-2-2-2-2-1-111111121-1-1000000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i321−i321−i32000000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i321+i321+i32000000
χ52222-1-1-2-22-1-1-1002-211−i3i3−i3i3110-1−i3i3000000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i321−i321−i3200−1+i31−i3−1+i32−1+i323+i32−3−i323+i32−3−i32−1+i32−1+i3201−i323+i32−3−i32000000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i321+i321+i3200−1−i31+i3−1−i32−1−i32−3+i323−i32−3+i323−i32−1−i32−1−i3201+i32−3+i323−i32000000
χ53222-1-1-2-22-1-1-1002-211i3−i3i3−i3110-1i3−i3000000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i321−i321−i3200−1+i31−i3−1+i32−1+i32−3−i323+i32−3−i323+i32−1+i32−1+i3201−i32−3−i323+i32000000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i321+i321+i3200−1−i31+i3−1−i32−1−i323−i32−3+i323−i32−3+i32−1−i32−1−i3201+i323−i32−3+i32000000
χ54222-1-1-2-22-1-1-100-2211−i3i3−i3i3-1-101i3−i3000000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i321−i321−i32001−i3−1+i3−1+i32−1+i323+i32−3−i323+i32−3−i321−i321−i320−1+i32−3−i323+i32000000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i321+i321+i32001+i3−1−i3−1−i32−1−i32−3+i323−i32−3+i323−i321+i321+i320−1−i323−i32−3+i32000000
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χ9144-444000-4002-2000022-2-2000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i30002+2i300−1−i31+i30000−1−i3−1−i31+i31+i3000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i30002−2i300−1+i31−i30000−1+i3−1+i31−i31−i3000000000000
χ9244-444000-400-220000-2-222000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i30002+2i3001+i3−1−i300001+i31+i3−1−i3−1−i3000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i30002−2i3001−i3−1+i300001−i31−i3−1+i3−1+i3000000000000
χ9344-4-2-20002−2i32i32-20000−1−i3−1+i31+i31−i3000000000000−2−2i3−2−2i32+2i31+i31+i3000−1−i3−3+i33−i3−1−i31+i30000−1+i321−i3-2000000000000−2+2i3−2+2i32−2i31−i31−i3000−1+i33+i3−3−i3−1+i31−i300002−1−i3-21+i3000000000000
χ9444-4-2-20002−2i32i3-2200001+i31−i3−1−i3−1+i3000000000000−2−2i3−2−2i32+2i31+i31+i3000−1−i3−3+i33−i31+i3−1−i300001−i3-2−1+i32000000000000−2+2i3−2+2i32−2i31−i31−i3000−1+i33+i3−3−i31−i3−1+i30000-21+i32−1−i3000000000000
χ9544-4-2-200022i3−2i32-20000−1+i3−1−i31−i31+i3000000000000−2−2i3−2−2i32+2i31+i31+i3000−1−i33−i3−3+i3−1−i31+i300002−1+i3-21−i3000000000000−2+2i3−2+2i32−2i31−i31−i3000−1+i3−3−i33+i3−1+i31−i30000−1−i321+i3-2000000000000
χ9644-4-2-200022i3−2i3-2200001−i31+i3−1+i3−1−i3000000000000−2−2i3−2−2i32+2i31+i31+i3000−1−i33−i3−3+i31+i3−1−i30000-21−i32−1+i3000000000000−2+2i3−2+2i32−2i31−i31−i3000−1+i3−3−i33+i31−i3−1+i300001+i3-2−1−i32000000000000
χ978-808-80000000000000000000000000000−4−4i34+4i30−4−4i34+4i30000000000000000000000000000−4+4i34−4i30−4+4i34−4i30000000000000000000000000000
χ988-80-44000000000000000023−230000000000−4−4i34+4i302+2i3−2−2i300000000000000004ζ7+2ζ11−4ζ7−2ζ110000000000−4+4i34−4i302−2i3−2+2i30000000000000000−2ζ7−4ζ112ζ7+4ζ110000000000
χ998-80-440000000000000000−23230000000000−4−4i34+4i302+2i3−2−2i30000000000000000−4ζ7−2ζ114ζ7+2ζ110000000000−4+4i34−4i302−2i3−2+2i300000000000000002ζ7+4ζ11−2ζ7−4ζ110000000000

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