Finite Group Databasebeta

← Group #72224516

Character table — Group #72224516

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111222222444666666999121212121212121212121212121212181818181818181818181818363636363636363636545454545454545454545454818181818181162162162162162162
order133333333333333333266333333333333333333333333666333333333666666666666226666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1111111111111111111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1
χ4111111111111111111-1-1-1111111111111111111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111
χ5222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000000
χ6222222222222222222-2-2-2222222222222222-1-1-1-1-1-1-1-1-1-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2111111111000000000000
χ7222222222222222-1-1-1000222-1-1-1-1-1-1-1-1-1-1-1-1222222222000-1-1-1-1-1-1-1-1-1000000000000020022000-1-1-1
χ8222222222222222-1-1-1000222-1-1-1-1-1-1-1-1-1-1-1-1222222222000-1-1-1-1-1-1-1-1-10000000000000-200-2-2000111
χ9222222222222-1-1-1222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000
χ10222222222222-1-1-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1000000000000
χ11222222222222-1-1-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222000000000000
χ12222222222222-1-1-1222-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2222-1-1-1-1-1-1111-2-2-2111111000000000000
χ13222222222222-1-1-1222-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-2-2-2-1-1-1222-1-1-1111111-2-2-2111000000000000
χ14222222222222-1-1-1222-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-2-2-2-1-1-1-1-1-1222111111111-2-2-2000000000000
χ15222-1-1-1222-1-1-12-1-12222222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000
χ16222-1-1-1222-1-1-12-1-12222222-1-1-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1-1-1-1-12-1-12-1-12-12-1-1-12-1-12-1-12-1000000000000
χ17222-1-1-1222-1-1-12-1-12222222-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-1-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-12000000000000
χ18222-1-1-1222-1-1-12-1-1222-2-2-22-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-11112-1-12-1-12-1-1-211-211-211-211000000000000
χ19222-1-1-1222-1-1-12-1-1222-2-2-22-1-1-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1111-12-1-12-1-12-1-2111-211-211-21000000000000
χ20222-1-1-1222-1-1-12-1-1222-2-2-22-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12111-1-12-1-12-1-12-21111-211-211-2000000000000
χ21222-1-1-1222-1-1-1-12-1222222-12-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-12-12-1-1-12-1-1-12000000000000
χ22222-1-1-1222-1-1-1-12-1222222-12-1-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1000000000000
χ23222-1-1-1222-1-1-1-12-1222222-12-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1000000000000
χ24222-1-1-1222-1-1-1-12-1222-2-2-2-12-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-121112-1-1-12-1-1-121-21-2111-2111-2000000000000
χ25222-1-1-1222-1-1-1-12-1222-2-2-2-12-1-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1111-12-1-1-122-1-11-211-2111-2-211000000000000
χ26222-1-1-1222-1-1-1-12-1222-2-2-2-12-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1111-1-122-1-1-12-11-2111-2-2111-21000000000000
χ27222-1-1-1222-1-1-1-1-12222222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-12-1-1-1-12-12-1-1-122-1-1-1-12-12-1000000000000
χ28222-1-1-1222-1-1-1-1-12222222-1-12-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12-1-1-1-12-12-1-1-1-12-1-12-12-12-1-1-1-12000000000000
χ29222-1-1-1222-1-1-1-1-12222222-1-12-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1-1-1-1-1-12-12-12-1-1-1-12-1-12-12-12-1-1000000000000
χ30222-1-1-1222-1-1-1-1-12222-2-2-2-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-11112-1-1-1-12-12-111-2-21111-21-21000000000000
χ31222-1-1-1222-1-1-1-1-12222-2-2-2-1-12-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12111-12-12-1-1-1-1211-21-21-21111-2000000000000
χ32222-1-1-1222-1-1-1-1-12222-2-2-2-1-12-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1111-1-12-12-12-1-111-211-21-21-211000000000000
χ333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i320000000000000000003−3+3i32−3−3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ343−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i320000000000000000003−3+3i32−3−3i32000000000000000000000-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ353−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i32-33−3i323+3i320003−3+3i32−3−3i32000000000000000000-33−3i323+3i320000000000000000000001-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ363−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i32-33−3i323+3i320003−3+3i32−3−3i32000000000000000000-33−3i323+3i32000000000000000000000-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ373−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i320000000000000000003−3−3i32−3+3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ383−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i320000000000000000003−3−3i32−3+3i32000000000000000000000-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ393−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i32-33+3i323−3i320003−3−3i32−3+3i32000000000000000000-33+3i323−3i320000000000000000000001-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ403−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i32-33+3i323−3i320003−3−3i32−3+3i32000000000000000000-33+3i323−3i32000000000000000000000-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ41444444444444444-2-2-2000444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000111111111000000000000000000000000
χ42444444444444-2-2-2-2-2-2000-2-2-2-2-2-2111111111444-2-2-2-2-2-2000-2-2-2111111000000000000000000000000
χ43444444444444-2-2-2-2-2-2000-2-2-2-2-2-2111111111-2-2-2444-2-2-2000111-2-2-2111000000000000000000000000
χ44444444444444-2-2-2-2-2-2000-2-2-2-2-2-2111111111-2-2-2-2-2-2444000111111-2-2-2000000000000000000000000
χ45444-2-2-2444-2-2-24-2-2-2-2-20004-2-2111-2-2-21111114-2-24-2-24-2-2000-211-211-211000000000000000000000000
χ46444-2-2-2444-2-2-24-2-2-2-2-20004-2-2111-2-2-2111111-24-2-24-2-24-20001-211-211-21000000000000000000000000
χ47444-2-2-2444-2-2-24-2-2-2-2-20004-2-2111-2-2-2111111-2-24-2-24-2-2400011-211-211-2000000000000000000000000
χ48444-2-2-2444-2-2-2-24-2-2-2-2000-24-2111111-2-2-21114-2-2-24-2-2-24000-2111-2111-2000000000000000000000000
χ49444-2-2-2444-2-2-2-24-2-2-2-2000-24-2111111-2-2-2111-24-2-2-244-2-20001-2111-2-211000000000000000000000000
χ50444-2-2-2444-2-2-2-24-2-2-2-2000-24-2111111-2-2-2111-2-244-2-2-24-200011-2-2111-21000000000000000000000000
χ51444-2-2-2444-2-2-2-2-24-2-2-2000-2-24111111111-2-2-24-2-2-2-24-24-2000-21111-21-21000000000000000000000000
χ52444-2-2-2444-2-2-2-2-24-2-2-2000-2-24111111111-2-2-2-24-24-2-2-2-240001-21-21111-2000000000000000000000000
χ53444-2-2-2444-2-2-2-2-24-2-2-2000-2-24111111111-2-2-2-2-24-24-24-2-200011-21-21-211000000000000000000000000
χ54666666-3-3-3-3-3-3666000000-3-3-3000000000000000000000000000000000000000000000202200-1-1-1000
χ55666666-3-3-3-3-3-3666000000-3-3-3000000000000000000000000000000000000000000000-20-2-200111000
χ566−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3000-33−3i323+3i32000000-33−3i323+3i320000000000000000000000000000000000000000000200−1+i3−1−i3000-11−i321+i32
χ576−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3000-33−3i323+3i32000000-33−3i323+3i320000000000000000000000000000000000000000000-2001−i31+i30001−1+i32−1−i32
χ586−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000000000000000020−1+i3−1−i300-11−i321+i32000
χ596−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000-201−i31+i3001−1+i32−1−i32000
χ606−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i320006−3+3i3−3−3i36−3+3i3−3−3i3000-33−3i323+3i32000000000000000000-33−3i323+3i32000000000000000000000000000000000
χ616−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i320006−3+3i3−3−3i3-63−3i33+3i3000-33−3i323+3i320000000000000000003−3+3i32−3−3i32000000000000000000000000000000000
χ626−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3000-33+3i323−3i32000000-33+3i323−3i320000000000000000000000000000000000000000000200−1−i3−1+i3000-11+i321−i32
χ636−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3000-33+3i323−3i32000000-33+3i323−3i320000000000000000000000000000000000000000000-2001+i31−i30001−1−i32−1+i32
χ646−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000000000000000020−1−i3−1+i300-11+i321−i32000
χ656−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000-201+i31−i3001−1−i32−1+i32000
χ666−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i320006−3−3i3−3+3i36−3−3i3−3+3i3000-33+3i323−3i32000000000000000000-33+3i323−3i32000000000000000000000000000000000
χ676−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i320006−3−3i3−3+3i3-63+3i33−3i3000-33+3i323−3i320000000000000000003−3−3i32−3+3i32000000000000000000000000000000000
χ68121212121212-6-6-6-6-6-6-6-6-6000000333000000000000000000000000000000000000000000000000000000000
χ69121212-6-6-6-6-6-633312-6-6000000-633000000000000000000000000000000000000000000000000000000000
χ70121212-6-6-6-6-6-6333-612-60000003-63000000000000000000000000000000000000000000000000000000000
χ71121212-6-6-6-6-6-6333-6-61200000033-6000000000000000000000000000000000000000000000000000000000
χ7212−6+6i3−6−6i312−6+6i3−6−6i3-63−3i33+3i3-63−3i33+3i3000000000000000-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000
χ7312−6+6i3−6−6i3-63−3i33+3i312−6+6i3−6−6i3-63−3i33+3i3000-63−3i33+3i30000003−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000
χ7412−6+6i3−6−6i3-63−3i33+3i3-63−3i33+3i33−3+3i32−3−3i320000000000000006−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000
χ7512−6+6i3−6−6i3-63−3i33+3i3-63−3i33+3i33−3+3i32−3−3i32000000000000000-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32000000000000000000000000000000000000000000000
χ7612−6+6i3−6−6i3-63−3i33+3i3-63−3i33+3i33−3+3i32−3−3i32000000000000000-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3000000000000000000000000000000000000000000000
χ7712−6−6i3−6+6i312−6−6i3−6+6i3-63+3i33−3i3-63+3i33−3i3000000000000000-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000000000000000
χ7812−6−6i3−6+6i3-63+3i33−3i312−6−6i3−6+6i3-63+3i33−3i3000-63+3i33−3i30000003−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000
χ7912−6−6i3−6+6i3-63+3i33−3i3-63+3i33−3i33−3−3i32−3+3i320000000000000006−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000000000000000
χ8012−6−6i3−6+6i3-63+3i33−3i3-63+3i33−3i33−3−3i32−3+3i32000000000000000-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32000000000000000000000000000000000000000000000
χ8112−6−6i3−6+6i3-63+3i33−3i3-63+3i33−3i33−3−3i32−3+3i32000000000000000-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).