Finite Group Databasebeta

← Group #11798293

Character table — Group #11798293

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222224444444444444444444444888888888888888888888888161616161616161616161616161616161636367272727272144
order1223333446666666688121212121212121224242424242424242416162424242448484848484848484848484848484848466661212121212121212121212122424816164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1
χ41111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ611111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11
χ711111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-1-11
χ811111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-111-1
χ922222222222222222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000002200-2000
χ1022222222222222222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000-2-2002000
χ112222222-2-22222222200-2-2-2-2-2-2-2-200000000002−2000022222222−2−2−2−2−2−2−2−2000000000000000002-20002−20
χ122222222-2-22222222200-2-2-2-2-2-2-2-200000000002−2000022222222−2−2−2−2−2−2−2−200000000000000000-22000−220
χ132222222-2-22222222200-2-2-2-2-2-2-2-20000000000−220000−2−2−2−2−2−2−2−222222222000000000000000002-2000−220
χ142222222-2-22222222200-2-2-2-2-2-2-2-20000000000−220000−2−2−2−2−2−2−2−22222222200000000000000000-220002−20
χ152222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-100000000
χ162222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-2111111-2-2111111-22-1-1-12-1-1-1-2-211111100000000
χ172222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111-2111-2-211111100000000
χ182222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1-2-2111111-2-21111112-2111-211122-1-1-1-1-1-100000000
χ19222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12-12-1-1-12-1-1-1-122-1-1-1-100000000
χ20222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-122-2-2-12-1-111-2-2111111-2-21111-2-12-1-1-12-1-111-2-2111100000000
χ21222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-21-2111-21111-2-2111100000000
χ22222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-111-2-2111111-2-2111121-2111-211-1-122-1-1-1-100000000
χ23222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12-1-12-1-1-12-1-1-1-1-122-1-100000000
χ24222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-12-11111-2-2111111-2-211-2-1-12-1-1-12-11111-2-21100000000
χ25222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-211-2111-211111-2-21100000000
χ26222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-11111-2-2111111-2-211211-2111-21-1-1-1-122-1-100000000
χ27222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-12200000000
χ28222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-12111111-2-2111111-2-2-2-1-1-12-1-1-12111111-2-200000000
χ29222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-2111111-2-200000000
χ30222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12111111-2-2111111-2-22111-2111-2-1-1-1-1-1-12200000000
χ3122-22222-222222-2-2-2-22-2-2-2-2-22222222222222-200-2-2-2-2000000000000000002222-2-2-2-20000000000000000
χ3222-22222-222222-2-2-2-22-2-2-2-2-2222222222222-2200-2-2-2-200000000000000000-2-2-2-222220000000000000000
χ3322-22222-222222-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-200002222000000000000000000000000000000000002-20000
χ3422-22222-222222-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000-220000
χ3522-22-1-1-1-222-1-1-1-21112-2-21112-1-1-122-1-1-1-1-1-12-200-211100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i302-1-1-1-211100−i3i3−i3i3−i3i300000000
χ3622-22-1-1-1-222-1-1-1-21112-2-21112-1-1-122-1-1-1-1-1-12-200-211100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i302-1-1-1-211100i3−i3i3−i3i3−i300000000
χ3722-22-1-1-1-222-1-1-1-21112-2-21112-1-1-122-1-1-1-1-1-1-2200-211100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30-21112-1-1-100i3−i3i3−i3i3−i300000000
χ3822-22-1-1-1-222-1-1-1-21112-2-21112-1-1-122-1-1-1-1-1-1-2200-211100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30-21112-1-1-100−i3i3−i3i3−i3i300000000
χ3922-2-12-1-1-22-12-1-11-2112-21-211-12-1-1-1-122-1-1-1-12-2001-211−i3i300−i3i3i3−i3−i3i300−i3i3i3−i30-12-1-11-211−i3i300−i3i3i3−i300000000
χ4022-2-12-1-1-22-12-1-11-2112-21-211-12-1-1-1-122-1-1-1-12-2001-211i3−i300i3−i3−i3i3i3−i300i3−i3−i3i30-12-1-11-211i3−i300i3−i3−i3i300000000
χ4122-2-12-1-1-22-12-1-11-2112-21-211-12-1-1-1-122-1-1-1-1-22001-211−i3i300−i3i3i3−i3−i3i300−i3i3i3−i301-211-12-1-1i3−i300i3−i3−i3i300000000
χ4222-2-12-1-1-22-12-1-11-2112-21-211-12-1-1-1-122-1-1-1-1-22001-211i3−i300i3−i3−i3i3i3−i300i3−i3−i3i301-211-12-1-1−i3i300−i3i3i3−i300000000
χ4322-2-1-12-1-22-1-12-111-212-211-21-1-12-1-1-1-1-122-1-12-20011-21−i3i3i3−i300−i3i3−i3i3i3−i300−i3i30-1-12-111-21−i3i3i3−i300−i3i300000000
χ4422-2-1-12-1-22-1-12-111-212-211-21-1-12-1-1-1-1-122-1-12-20011-21i3−i3−i3i300i3−i3i3−i3−i3i300i3−i30-1-12-111-21i3−i3−i3i300i3−i300000000
χ4522-2-1-12-1-22-1-12-111-212-211-21-1-12-1-1-1-1-122-1-1-220011-21−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3011-21-1-12-1i3−i3−i3i300i3−i300000000
χ4622-2-1-12-1-22-1-12-111-212-211-21-1-12-1-1-1-1-122-1-1-220011-21i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3011-21-1-12-1−i3i3i3−i300−i3i300000000
χ4722-2-1-1-12-22-1-1-12111-22-2111-2-1-1-12-1-1-1-1-1-1222-200111-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3000-1-1-12111-2−i3i3−i3i3i3−i30000000000
χ4822-2-1-1-12-22-1-1-12111-22-2111-2-1-1-12-1-1-1-1-1-1222-200111-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3000-1-1-12111-2i3−i3i3−i3−i3i30000000000
χ4922-2-1-1-12-22-1-1-12111-22-2111-2-1-1-12-1-1-1-1-1-122-2200111-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3000111-2-1-1-12i3−i3i3−i3−i3i30000000000
χ5022-2-1-1-12-22-1-1-12111-22-2111-2-1-1-12-1-1-1-1-1-122-2200111-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3000111-2-1-1-12−i3i3−i3i3i3−i30000000000
χ514444-2-2-2444-2-2-24-2-2-2-4-44-2-2-24-2-2-2-4-42222220000-422200000000000000000000000000000000000000000
χ524444-2-2-2-4-44-2-2-24-2-2-200-4222-4222000000000022−2200002222−2−2−2−2−2−2−22−222222220000000000000000000000000
χ534444-2-2-2-4-44-2-2-24-2-2-200-4222-42220000000000−22220000−22−222222222222−2−2−2−2−2−20000000000000000000000000
χ54444-24-2-244-24-2-2-24-2-2-4-4-24-2-2-24-2-222-4-4222200002-42200000000000000000000000000000000000000000
χ55444-24-2-2-4-4-24-2-2-24-2-2002-4222-422000000000022−220000−2−22222−2−2−2−222−22−2222220000000000000000000000000
χ56444-24-2-2-4-4-24-2-2-24-2-2002-4222-4220000000000−2222000022−22−222222−2−22222−2−2−2−20000000000000000000000000
χ57444-2-24-244-2-24-2-2-24-2-4-4-2-24-2-2-24-22222-4-422000022-4200000000000000000000000000000000000000000
χ58444-2-24-2-4-4-2-24-2-2-24-20022-4222-42000000000022−220000−2−2−2−22222−2−22222−22−22220000000000000000000000000
χ59444-2-24-2-4-4-2-24-2-2-24-20022-4222-420000000000−222200002222−22−2222−2−2−2−22222−2−20000000000000000000000000
χ60444-2-2-2444-2-2-24-2-2-24-4-4-2-2-24-2-2-24222222-4-40000222-400000000000000000000000000000000000000000
χ61444-2-2-24-4-4-2-2-24-2-2-2400222-4222-4000000000022−220000−2−2−2−2−2−22222222222−22−220000000000000000000000000
χ62444-2-2-24-4-4-2-2-24-2-2-2400222-4222-40000000000−22220000222222−22−22−2−2−2−2−2−222220000000000000000000000000
χ6344-444444-44444-4-4-4-4004444-4-4-4-4000000000000000000000000000000000000000000000000000000000
χ6444-44-2-2-24-44-2-2-2-4222004-2-2-2-4222000000000000000000i6−i6i6−i6i6−i600−i6i6−i6i6−i6i60000000000000000000000000
χ6544-44-2-2-24-44-2-2-2-4222004-2-2-2-4222000000000000000000−i6i6−i6i6−i6i600i6−i6i6−i6i6−i60000000000000000000000000
χ6644-44-2-2-2-444-2-2-2-4222-44-42224-2-2-2-4-422222200004-2-2-200000000000000000000000000000000000000000
χ6744-4-24-2-24-4-24-2-22-42200-24-2-22-4220000000000000000i6−i600i6−i6−i6i6−i6i600−i6i6i6−i60000000000000000000000000
χ6844-4-24-2-24-4-24-2-22-42200-24-2-22-4220000000000000000−i6i600−i6i6i6−i6i6−i600i6−i6−i6i60000000000000000000000000
χ6944-4-24-2-2-44-24-2-22-422-442-422-24-2-222-4-422220000-24-2-200000000000000000000000000000000000000000
χ7044-4-2-24-24-4-2-24-222-4200-2-24-222-420000000000000000i6−i6−i6i600i6−i6−i6i6i6−i600−i6i60000000000000000000000000
χ7144-4-2-24-24-4-2-24-222-4200-2-24-222-420000000000000000−i6i6i6−i600−i6i6i6−i6−i6i600i6−i60000000000000000000000000
χ7244-4-2-24-2-44-2-24-222-42-4422-42-2-24-22222-4-4220000-2-24-200000000000000000000000000000000000000000
χ7344-4-2-2-244-4-2-2-24222-400-2-2-24222-40000000000000000i6−i6i6−i6−i6i600−i6i6−i6i6i6−i6000000000000000000000000000
χ7444-4-2-2-244-4-2-2-24222-400-2-2-24222-40000000000000000−i6i6−i6i6i6−i600i6−i6i6−i6−i6i6000000000000000000000000000
χ7544-4-2-2-24-44-2-2-24222-4-44222-4-2-2-24222222-4-40000-2-2-2400000000000000000000000000000000000000000
χ768-80888800-8-8-8-800000000000000000000000000000000000000000000000000000000000000000000000
χ778-808-4-4-400-844400000000000000002i6−2i62i6−2i62i6−2i60000000000000000000000000000000000000000000000000
χ788-808-4-4-400-84440000000000000000−2i62i6−2i62i6−2i62i60000000000000000000000000000000000000000000000000
χ798-80-48-4-4004-844000000000000002i6−2i6002i6−2i6−2i62i60000000000000000000000000000000000000000000000000
χ808-80-48-4-4004-84400000000000000−2i62i600−2i62i62i6−2i60000000000000000000000000000000000000000000000000
χ818-80-4-48-40044-84000000000000002i6−2i6−2i62i6002i6−2i60000000000000000000000000000000000000000000000000
χ828-80-4-48-40044-8400000000000000−2i62i62i6−2i600−2i62i60000000000000000000000000000000000000000000000000
χ838-80-4-4-4800444-8000000000000002i6−2i62i6−2i6−2i62i6000000000000000000000000000000000000000000000000000
χ848-80-4-4-4800444-800000000000000−2i62i6−2i62i62i6−2i6000000000000000000000000000000000000000000000000000

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