Finite Group Databasebeta

← Group #72276525

Character table — Group #72276525

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11244444444488888161616336121212121212121212242424242448484833612121212121212121224242424244848487714282828282828282828565656565611211211277142828282828282828285656565656112112112
order122222222444224444487141414141414141428282814142828282828567141414141414141428282814142828282828563666666661212126612121212122436666666612121266121212121224
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-111-1-1-11111111111111-1-111-1-1-11111111111111-1-111-1-1-11111111111111-1-111-1-1-11111111111111-1-111-1-1-1
χ311111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-1
χ411111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-111
χ5111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1
χ6111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11
χ7111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11
χ8111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1
χ92220000-2-2222-200000002220000-2-2222-200000002220000-2-2222-200000002220000-2-2222-200000002220000-2-2222-20000000
χ102220000-2-2-2-22200000002220000-2-2-2-22200000002220000-2-2-2-22200000002220000-2-2-2-22200000002220000-2-2-2-2220000000
χ1122200222-200-20000-200022200222-200-20000-200022200222-200-20000-200022200222-200-20000-200022200222-200-20000-2000
χ1222200-2-22-200-20000200022200-2-22-200-20000200022200-2-22-200-20000200022200-2-22-200-20000200022200-2-22-200-200002000
χ132222200-2200-2000-200002222200-2200-2000-200002222200-2200-2000-200002222200-2200-2000-200002222200-2200-2000-20000
χ14222-2-200-2200-200020000222-2-200-2200-200020000222-2-200-2200-200020000222-2-200-2200-200020000222-2-200-2200-200020000
χ1544-400000000002-20000044-400000000002-20000044-400000000002-20000044-400000000002-20000044-400000000002-200000
χ1644-40000000000-220000044-40000000000-220000044-40000000000-220000044-40000000000-220000044-40000000000-2200000
χ174-402-22-2002-20000000004-402-22-2002-20000000004-402-22-2002-20000000004-402-22-2002-20000000004-402-22-2002-2000000000
χ184-402-2-2200-220000000004-402-2-2200-220000000004-402-2-2200-220000000004-402-2-2200-220000000004-402-2-2200-22000000000
χ194-40-222-200-220000000004-40-222-200-220000000004-40-222-200-220000000004-40-222-200-220000000004-40-222-200-22000000000
χ204-40-22-22002-20000000004-40-22-22002-20000000004-40-22-22002-20000000004-40-22-22002-20000000004-40-22-22002-2000000000
χ21111111111111111111111111111111111111111111111111111111111111−1+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
χ221111111111111-1-111-1-1-11111111111111-1-111-1-1-11111111111111-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i32
χ2311111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ2411111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ25111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ26111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ27111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ28111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ292220000-2-2222-200000002220000-2-2222-200000002220000-2-2222-20000000−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i3−1+i31−i30000000−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i3−1−i31+i30000000
χ302220000-2-2-2-22200000002220000-2-2-2-22200000002220000-2-2-2-2220000000−1+i3−1+i3−1+i300001−i31−i31−i31−i3−1+i3−1+i30000000−1−i3−1−i3−1−i300001+i31+i31+i31+i3−1−i3−1−i30000000
χ3122200222-200-20000-200022200222-200-20000-200022200222-200-20000-2000−1+i3−1+i3−1+i300−1+i3−1+i3−1+i31−i3001−i300001−i3000−1−i3−1−i3−1−i300−1−i3−1−i3−1−i31+i3001+i300001+i3000
χ3222200-2-22-200-20000200022200-2-22-200-20000200022200-2-22-200-200002000−1+i3−1+i3−1+i3001−i31−i3−1+i31−i3001−i30000−1+i3000−1−i3−1−i3−1−i3001+i31+i3−1−i31+i3001+i30000−1−i3000
χ332222200-2200-2000-200002222200-2200-2000-200002222200-2200-2000-20000−1+i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i3001−i30001−i30000−1−i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i3001+i30001+i30000
χ34222-2-200-2200-200020000222-2-200-2200-200020000222-2-200-2200-200020000−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3001−i3000−1+i30000−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3001+i3000−1−i30000
χ3544-400000000002-20000044-400000000002-20000044-400000000002-200000−2+2i3−2+2i32−2i30000000000−1+i31−i300000−2−2i3−2−2i32+2i30000000000−1−i31+i300000
χ3644-40000000000-220000044-40000000000-220000044-40000000000-2200000−2+2i3−2+2i32−2i300000000001−i3−1+i300000−2−2i3−2−2i32+2i300000000001+i3−1−i300000
χ374-402-22-2002-20000000004-402-22-2002-20000000004-402-22-2002-2000000000−2+2i32−2i30−1+i31−i3−1+i31−i300−1+i31−i3000000000−2−2i32+2i30−1−i31+i3−1−i31+i300−1−i31+i3000000000
χ384-402-2-2200-220000000004-402-2-2200-220000000004-402-2-2200-22000000000−2+2i32−2i30−1+i31−i31−i3−1+i3001−i3−1+i3000000000−2−2i32+2i30−1−i31+i31+i3−1−i3001+i3−1−i3000000000
χ394-40-222-200-220000000004-40-222-200-220000000004-40-222-200-22000000000−2+2i32−2i301−i3−1+i3−1+i31−i3001−i3−1+i3000000000−2−2i32+2i301+i3−1−i3−1−i31+i3001+i3−1−i3000000000
χ404-40-22-22002-20000000004-40-22-22002-20000000004-40-22-22002-2000000000−2+2i32−2i301−i3−1+i31−i3−1+i300−1+i31−i3000000000−2−2i32+2i301+i3−1−i31+i3−1−i300−1−i31+i3000000000
χ41111111111111111111111111111111111111111111111111111111111111−1−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
χ421111111111111-1-111-1-1-11111111111111-1-111-1-1-11111111111111-1-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i32
χ4311111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-111111-1-111-1-11-1111-11-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32
χ4411111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-11111111-1-111-1-11-1-1-11-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ45111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1111-1-11111-1-11-111-11-11-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ46111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11111-1-11111-1-11-1-1-1-111-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ47111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ48111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1111111-1-1-1-111-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ492220000-2-2222-200000002220000-2-2222-200000002220000-2-2222-20000000−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i3−1−i31+i30000000−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i3−1+i31−i30000000
χ502220000-2-2-2-22200000002220000-2-2-2-22200000002220000-2-2-2-2220000000−1−i3−1−i3−1−i300001+i31+i31+i31+i3−1−i3−1−i30000000−1+i3−1+i3−1+i300001−i31−i31−i31−i3−1+i3−1+i30000000
χ5122200222-200-20000-200022200222-200-20000-200022200222-200-20000-2000−1−i3−1−i3−1−i300−1−i3−1−i3−1−i31+i3001+i300001+i3000−1+i3−1+i3−1+i300−1+i3−1+i3−1+i31−i3001−i300001−i3000
χ5222200-2-22-200-20000200022200-2-22-200-20000200022200-2-22-200-200002000−1−i3−1−i3−1−i3001+i31+i3−1−i31+i3001+i30000−1−i3000−1+i3−1+i3−1+i3001−i31−i3−1+i31−i3001−i30000−1+i3000
χ532222200-2200-2000-200002222200-2200-2000-200002222200-2200-2000-20000−1−i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i3001+i30001+i30000−1+i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i3001−i30001−i30000
χ54222-2-200-2200-200020000222-2-200-2200-200020000222-2-200-2200-200020000−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3001+i3000−1−i30000−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3001−i3000−1+i30000
χ5544-400000000002-20000044-400000000002-20000044-400000000002-200000−2−2i3−2−2i32+2i30000000000−1−i31+i300000−2+2i3−2+2i32−2i30000000000−1+i31−i300000
χ5644-40000000000-220000044-40000000000-220000044-40000000000-2200000−2−2i3−2−2i32+2i300000000001+i3−1−i300000−2+2i3−2+2i32−2i300000000001−i3−1+i300000
χ574-402-22-2002-20000000004-402-22-2002-20000000004-402-22-2002-2000000000−2−2i32+2i30−1−i31+i3−1−i31+i300−1−i31+i3000000000−2+2i32−2i30−1+i31−i3−1+i31−i300−1+i31−i3000000000
χ584-402-2-2200-220000000004-402-2-2200-220000000004-402-2-2200-22000000000−2−2i32+2i30−1−i31+i31+i3−1−i3001+i3−1−i3000000000−2+2i32−2i30−1+i31−i31−i3−1+i3001−i3−1+i3000000000
χ594-40-222-200-220000000004-40-222-200-220000000004-40-222-200-22000000000−2−2i32+2i301+i3−1−i3−1−i31+i3001+i3−1−i3000000000−2+2i32−2i301−i3−1+i3−1+i31−i3001−i3−1+i3000000000
χ604-40-22-22002-20000000004-40-22-22002-20000000004-40-22-22002-2000000000−2−2i32+2i301+i3−1−i31+i3−1−i300−1−i31+i3000000000−2+2i32−2i301−i3−1+i31−i3−1+i300−1+i31−i3000000000
χ6133333333333333333333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i720000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).