Finite Group Databasebeta

← Group #72222791

Character table — Group #72222791

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222444444444444444444466666688888888888888888888888888881212121212121212121212121212121212161616161616161616161616161616162424242424242424242424242424242424242424242448484848484848487272727272727272
order12233446612123446668888121212121224242424224488246668812121212121212242424242424242424242424242444668881212242424242424242466612121212122424242424242424222444668812121212161616162424242466121248484848224416161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-1111111-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1111-1-11111111-1-1-1-111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1111-1-11111111-1-1-1-111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1111-1-11111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1111-1-11111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-11111-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1111111-1-111-1-11111-1-111-1-1
χ15111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ1711-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i1-11-1111-111-1i−i-1-1i−ii−i1ii−i−iiii−i−i−i1-11-1i−i1-1-1i−i1-1ii−i−i11-1-1111-1-1-1i−iiii−i−i−i1-111-1-1i−i11i−i-1-1i−i1-1i−iii−i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ1811-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i1-11-1111-111-1i−i-1-1i−ii−i1ii−i−iiii−i−i−i1-11-1i−i1-1-1i−i1-1ii−i−i11-1-1111-1-1-1i−iiii−i−i−i1-11-11-1−ii11i−i-1-1i−i-11−iiii−i−i-11−ii-11−ii-11−ii-11−ii
χ1911-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i1-11-111-11-1-1-1−ii11i−ii−i1−i−iiiiii−i−i−i1-11-1i−i1-1-1i−i1-1ii−i−i11-1-1-1-1-1111i−i−i−i−iiii1-1-11-11i−i-1-1−ii11i−i-11−ii−i−iii1-1i−i-11−ii1-1i−i-11−ii
χ2011-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i1-11-111-11-1-1-1−ii11i−ii−i1−i−iiiiii−i−i−i1-11-1i−i1-1-1i−i1-1ii−i−i11-1-1-1-1-1111i−i−i−i−iiii1-1-1-111−ii-1-1−ii11i−i1-1i−i−i−iii-11−ii1-1i−i-11−ii1-1i−i
χ2111-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i-11-11-1-11-111-1i−i-1-1i−ii−i1ii−i−iiii−i−i−i1-11-1−ii-111−ii-11−i−iii-1-111111-1-1-1i−iiii−i−i−i1-1-11-11i−i-1-1−ii11−ii1-1i−i−i−iii1-1i−i1-1i−i-11−ii-11−ii
χ2211-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i-11-11-1-11-111-1i−i-1-1i−ii−i1ii−i−iiii−i−i−i1-11-1−ii-111−ii-11−i−iii-1-111111-1-1-1i−iiii−i−i−i1-1-1-111−ii-1-1−ii11−ii-11−ii−i−iii-11−ii-11−ii1-1i−i1-1i−i
χ2311-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i-11-11-1-1-11-1-1-1−ii11i−ii−i1−i−iiiiii−i−i−i1-11-1−ii-111−ii-11−i−iii-1-111-1-1-1111i−i−i−i−iiii1-111-1-1i−i11i−i-1-1−ii-11−iiii−i−i1-1i−i-11−ii-11−ii1-1i−i
χ2411-1111-111-1-11i−i1-1-1i−i1-11-1-1-11ii−i−i-11-11-1-1-11-1-1-1−ii11i−ii−i1−i−iiiiii−i−i−i1-11-1−ii-111−ii-11−i−iii-1-111-1-1-1111i−i−i−i−iiii1-11-11-1−ii11i−i-1-1−ii1-1i−iii−i−i-11−ii1-1i−i1-1i−i-11−ii
χ2511-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii1-11-1111-111-1−ii-1-1−ii−ii1−i−iii−i−i−iiii1-11-1−ii1-1-1−ii1-1−i−iii11-1-1111-1-1-1−ii−i−i−iiii1-111-1-1−ii11−ii-1-1−ii1-1−ii−i−iii1-1−ii1-1−ii1-1−ii1-1−ii
χ2611-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii1-11-1111-111-1−ii-1-1−ii−ii1−i−iii−i−i−iiii1-11-1−ii1-1-1−ii1-1−i−iii11-1-1111-1-1-1−ii−i−i−iiii1-11-11-1i−i11−ii-1-1−ii-11i−i−i−iii-11i−i-11i−i-11i−i-11i−i
χ2711-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii1-11-111-11-1-1-1i−i11−ii−ii1ii−i−i−i−i−iiii1-11-1−ii1-1-1−ii1-1−i−iii11-1-1-1-1-1111−iiiii−i−i−i1-1-11-11−ii-1-1i−i11−ii-11i−iii−i−i1-1−ii-11i−i1-1−ii-11i−i
χ2811-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii1-11-111-11-1-1-1i−i11−ii−ii1ii−i−i−i−i−iiii1-11-1−ii1-1-1−ii1-1−i−iii11-1-1-1-1-1111−iiiii−i−i−i1-1-1-111i−i-1-1i−i11−ii1-1−iiii−i−i-11i−i1-1−ii-11i−i1-1−ii
χ2911-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii-11-11-1-11-111-1−ii-1-1−ii−ii1−i−iii−i−i−iiii1-11-1i−i-111i−i-11ii−i−i-1-111111-1-1-1−ii−i−i−iiii1-1-11-11−ii-1-1i−i11i−i1-1−iiii−i−i1-1−ii1-1−ii-11i−i-11i−i
χ3011-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii-11-11-1-11-111-1−ii-1-1−ii−ii1−i−iii−i−i−iiii1-11-1i−i-111i−i-11ii−i−i-1-111111-1-1-1−ii−i−i−iiii1-1-1-111i−i-1-1i−i11i−i-11i−iii−i−i-11i−i-11i−i1-1−ii1-1−ii
χ3111-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii-11-11-1-1-11-1-1-1i−i11−ii−ii1ii−i−i−i−i−iiii1-11-1i−i-111i−i-11ii−i−i-1-111-1-1-1111−iiiii−i−i−i1-111-1-1−ii11−ii-1-1i−i-11i−i−i−iii1-1−ii-11i−i-11i−i1-1−ii
χ3211-1111-111-1-11−ii1-1-1−ii1-11-1-1-11−i−iii-11-11-1-1-11-1-1-1i−i11−ii−ii1ii−i−i−i−i−iiii1-11-1i−i-111i−i-11ii−i−i-1-111-1-1-1111−iiiii−i−i−i1-11-11-1i−i11−ii-1-1i−i1-1−ii−i−iii-11i−i1-1−ii1-1−ii-11i−i
χ3322222222222222222-2-2-2-222222-2-2-2-22222-2-2000020000222220000-2-2-2-2-2-2-2-2-2-22222-2-2-222-2-2-2-2-2-2-2-200000022000000-2-200000000000022000000000000000000000000
χ3422222222222222222-2-2-2-222222-2-2-2-2-2-2-2-222000020000222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222222200000022000000-2-2000000000000-2-2000000000000000000000000
χ35222222222222-2-222222-2-22222222222222-2-2000020000-2-2-2-220000222222-2-2-2-2-2-222-222222222-2-2-2-2000000-2-2000000-2-2000000000000-2-2000000000000000000000000
χ36222222222222-2-222222-2-2222222222-2-2-2-222000020000-2-2-2-220000222222-2-2-2-222-2-22-2-2-2-2-2-2-2-22222000000-2-2000000-2-200000000000022000000000000000000000000
χ372222-122-1222-122-12-12222-1-1-1-1222220000002222-1222222-1-1-12222-1-1-1-1-1-122-1-100000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10220220000000022220000-1-1-1-1-1-1-1-100000000
χ382222-122-1222-122-12-12222-1-1-1-1222220000002222-1222222-1-1-12222-1-1-1-1-1-122-1-100000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-200000000-2-2-2-200001111111100000000
χ392222-122-1222-122-12-12222-1-1-1-122222000000-2-2-2-2-1-2-2-2-222-1-1-1-2-2-2-2-1-1-1-1-1-122-1-100000000000000000111111-1-1111111-1-102202200000000-2-2-2-20000-1-1-1-1111100000000
χ402222-122-1222-122-12-12222-1-1-1-122222000000-2-2-2-2-1-2-2-2-222-1-1-1-2-2-2-2-1-1-1-1-1-122-1-100000000000000000111111-1-1111111-1-10-2-20-2-200000000222200001111-1-1-1-100000000
χ412222-122-1222-1-2-2-12-1-2-222-1-1-1-12-2-2-2-20000002222-1-2-222-2-211-1-2-2-2-211111122-1-100000000000000000-1-1-1-1-1-111111111-1-10220-2-20000000022-2-20000-1-111-1-11100000000
χ422222-122-1222-1-2-2-12-1-2-222-1-1-1-12-2-2-2-20000002222-1-2-222-2-211-1-2-2-2-211111122-1-100000000000000000-1-1-1-1-1-111111111-1-10-2-202200000000-2-222000011-1-111-1-100000000
χ432222-122-1222-1-2-2-12-1-2-222-1-1-1-12-2-2-2-2000000-2-2-2-2-122-2-2-2-211-1222211111122-1-10000000000000000011111111-1-1-1-1-1-1-1-10220-2-200000000-2-2220000-1-11111-1-100000000
χ442222-122-1222-1-2-2-12-1-2-222-1-1-1-12-2-2-2-2000000-2-2-2-2-122-2-2-2-211-1222211111122-1-10000000000000000011111111-1-1-1-1-1-1-1-10-2-20220000000022-2-2000011-1-1-1-11100000000
χ45222-12222-1-1-1-122-1-12222222-1-1-1-1-1-1-122222222-1-1-122-1-1-1-122-1-1-1-1-12-1-12-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-1200200-1-122-1-1-1-10000-1-1-1-10000000000000000
χ46222-12222-1-1-1-122-1-12222222-1-1-1-1-1-1-1222222-2-211-1-2-211-1-122-111112-1-12-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-211-211-1-1-211-211-1-1-200-20011-2-211-1-1000011110000000000000000
χ47222-12222-1-1-1-122-1-12222222-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-122-1-1-1-122-1-1-1-1-12-1-12-1-1-1-122-2-211-2-2-211111111112-1-12-1-1-1-12-1-12-1-1-1-1-200-20011-2-21111000011110000000000000000
χ48222-12222-1-1-1-122-1-12222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-1-2-211-1-122-111112-1-12-1-1-1-122-2-211-2-2-21111111111-211-211-1-1-211-211-1-1200200-1-122-1-1110000-1-1-1-10000000000000000
χ49222-12222-1-1-1-122-1-12-2-2-2-222-1-1-111112222-2-200−i3i3-100−i3i3-1-122-1−i3i3−i3i3-211-21111-2-222-1-1-2-2-2-1-1111111110−i3i30−i3i3-1-10−i3i30−i3i311000000−i3i300−i3i3-1-10000−i3i3−i3i30000000000000000
χ50222-12222-1-1-1-122-1-12-2-2-2-222-1-1-111112222-2-200i3−i3-100i3−i3-1-122-1i3−i3i3−i3-211-21111-2-222-1-1-2-2-2-1-1111111110i3−i30i3−i3-1-10i3−i30i3−i311000000i3−i300i3−i3-1-10000i3−i3i3−i30000000000000000
χ51222-12222-1-1-1-122-1-12-2-2-2-222-1-1-11111-2-2-2-22200−i3i3-100−i3i3-1-122-1−i3i3−i3i3-211-21111-2-2-2-21122211-1-1-1-1-1-1-1-10−i3i30−i3i3-1-10−i3i30−i3i311000000i3−i300i3−i3110000i3−i3i3−i30000000000000000
χ52222-12222-1-1-1-122-1-12-2-2-2-222-1-1-11111-2-2-2-22200i3−i3-100i3−i3-1-122-1i3−i3i3−i3-211-21111-2-2-2-21122211-1-1-1-1-1-1-1-10i3−i30i3−i3-1-10i3−i30i3−i311000000−i3i300−i3i3110000−i3i3−i3i30000000000000000
χ53222-12222-1-1-1-1-2-2-1-1222-2-222-1-1-1-1-1-1-12222-2-200−i3i3-100−i3i311-2-2-1i3−i3i3−i32-1-12-1-111-2-2-2-2-1-1-222-1-1-1-1-1-111110−i3i30−i3i3110i3−i30i3−i311000000−i3i300−i3i3110000i3−i3i3−i30000000000000000
χ54222-12222-1-1-1-1-2-2-1-1222-2-222-1-1-1-1-1-1-12222-2-200i3−i3-100i3−i311-2-2-1−i3i3−i3i32-1-12-1-111-2-2-2-2-1-1-222-1-1-1-1-1-111110i3−i30i3−i3110−i3i30−i3i311000000i3−i300i3−i3110000−i3i3−i3i30000000000000000
χ55222-12222-1-1-1-1-2-2-1-1222-2-222-1-1-1-1-1-1-1-2-2-2-22200−i3i3-100−i3i311-2-2-1i3−i3i3−i32-1-12-1-111-2-222112-2-2111111-1-1-1-10−i3i30−i3i3110i3−i30i3−i311000000i3−i300i3−i3-1-10000−i3i3−i3i30000000000000000
χ56222-12222-1-1-1-1-2-2-1-1222-2-222-1-1-1-1-1-1-1-2-2-2-22200i3−i3-100i3−i311-2-2-1−i3i3−i3i32-1-12-1-111-2-222112-2-2111111-1-1-1-10i3−i30i3−i3110−i3i30−i3i311000000−i3i300−i3i3-1-10000i3−i3i3−i30000000000000000
χ57222-12222-1-1-1-1-2-2-1-12-2-22222-1-1-1111122222222-1-1-1-2-2-1-111-2-2-11111-211-211-1-122-2-2-1-12-2-2-1-11111-1-1-1-12-1-12-1-111-211-211-1-1200200-1-1-2-2-1-111000011110000000000000000
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Here i is the imaginary unit (i² = −1).