Finite Group Databasebeta

← Group #11722540

Character table — Group #11722540

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size112266661212181818181818181818112266661212181818181818181818112266661212181818181818181818112266661212181818181818181818
order123633663622466661212226666666622466661212226666666622466661212226666666622466661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-111-1-1-1-111111111111-1-111-1-1-1-111111111111-1-111-1-1-1-111111111111-1-111-1-1-1-1
χ31111111111-11-1-1-111-1-11111111111-11-1-1-111-1-11111111111-11-1-1-111-1-11111111111-11-1-1-111-1-1
χ41111111111-1-11-1-1-1-1111111111111-1-11-1-1-1-1111111111111-1-11-1-1-1-1111111111111-1-11-1-1-1-111
χ522222-12-1-1-102000-1-10022222-12-1-1-102000-1-10022222-12-1-1-102000-1-10022222-12-1-1-102000-1-100
χ622222-12-1-1-10-2000110022222-12-1-1-10-2000110022222-12-1-1-10-2000110022222-12-1-1-10-20001100
χ72222-12-12-1-1200-1-100002222-12-12-1-1200-1-100002222-12-12-1-1200-1-100002222-12-12-1-1200-1-10000
χ82222-12-12-1-1-2001100002222-12-12-1-1-2001100002222-12-12-1-1-2001100002222-12-12-1-1-200110000
χ92-22-222-2-22-20000000002-22-222-2-22-20000000002-22-222-2-22-20000000002-22-222-2-22-2000000000
χ102-22-22-1-21-1100000−i3i3002-22-22-1-21-1100000−i3i3002-22-22-1-21-1100000−i3i3002-22-22-1-21-1100000−i3i300
χ112-22-22-1-21-1100000i3−i3002-22-22-1-21-1100000i3−i3002-22-22-1-21-1100000i3−i3002-22-22-1-21-1100000i3−i300
χ122-22-2-121-2-11000−i3i300002-22-2-121-2-11000−i3i300002-22-2-121-2-11000−i3i300002-22-2-121-2-11000−i3i30000
χ132-22-2-121-2-11000i3−i300002-22-2-121-2-11000i3−i300002-22-2-121-2-11000i3−i300002-22-2-121-2-11000i3−i30000
χ144444-2-2-2-2110000000004444-2-2-2-2110000000004444-2-2-2-2110000000004444-2-2-2-211000000000
χ154-44-4-2-2221-10000000004-44-4-2-2221-10000000004-44-4-2-2221-10000000004-44-4-2-2221-1000000000
χ1666-3-30000000020000-1-166-3-30000000020000-1-166-3-30000000020000-1-166-3-30000000020000-1-1
χ1766-3-300000000-200001166-3-300000000-200001166-3-300000000-200001166-3-300000000-2000011
χ186-6-3300000000000003−36-6-3300000000000003−36-6-3300000000000003−36-6-3300000000000003−3
χ196-6-330000000000000−336-6-330000000000000−336-6-330000000000000−336-6-330000000000000−33
χ201111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ221111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ231111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-11111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ2422222-12-1-1-102000-1-100-2-2-2-2-21-21110-2000110022222-12-1-1-102000-1-100-2-2-2-2-21-21110-20001100
χ2522222-12-1-1-10-20001100-2-2-2-2-21-211102000-1-10022222-12-1-1-10-20001100-2-2-2-2-21-211102000-1-100
χ262222-12-12-1-1200-1-10000-2-2-2-21-21-211-2001100002222-12-12-1-1200-1-10000-2-2-2-21-21-211-200110000
χ272222-12-12-1-1-200110000-2-2-2-21-21-211200-1-100002222-12-12-1-1-200110000-2-2-2-21-21-211200-1-10000
χ282-22-222-2-22-2000000000-22-22-2-222-220000000002-22-222-2-22-2000000000-22-22-2-222-22000000000
χ292-22-22-1-21-1100000−i3i300-22-22-212-11-100000i3−i3002-22-22-1-21-1100000−i3i300-22-22-212-11-100000i3−i300
χ302-22-22-1-21-1100000i3−i300-22-22-212-11-100000−i3i3002-22-22-1-21-1100000i3−i300-22-22-212-11-100000−i3i300
χ312-22-2-121-2-11000−i3i30000-22-221-2-121-1000i3−i300002-22-2-121-2-11000−i3i30000-22-221-2-121-1000i3−i30000
χ322-22-2-121-2-11000i3−i30000-22-221-2-121-1000−i3i300002-22-2-121-2-11000i3−i30000-22-221-2-121-1000−i3i30000
χ334444-2-2-2-211000000000-4-4-4-42222-1-10000000004444-2-2-2-211000000000-4-4-4-42222-1-1000000000
χ344-44-4-2-2221-1000000000-44-4422-2-2-110000000004-44-4-2-2221-1000000000-44-4422-2-2-11000000000
χ3566-3-30000000020000-1-1-6-63300000000-200001166-3-30000000020000-1-1-6-63300000000-2000011
χ3666-3-300000000-2000011-6-6330000000020000-1-166-3-300000000-2000011-6-6330000000020000-1-1
χ376-6-3300000000000003−3-663-30000000000000−336-6-3300000000000003−3-663-30000000000000−33
χ386-6-330000000000000−33-663-300000000000003−36-6-330000000000000−33-663-300000000000003−3
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4011111111111-1-111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ411111111111-11-1-1-111-1-11111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ421111111111-1-11-1-1-1-1111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ4322222-12-1-1-102000-1-10022222-12-1-1-102000-1-100-2-2-2-2-21-21110-20001100-2-2-2-2-21-21110-20001100
χ4422222-12-1-1-10-2000110022222-12-1-1-10-20001100-2-2-2-2-21-211102000-1-100-2-2-2-2-21-211102000-1-100
χ452222-12-12-1-1200-1-100002222-12-12-1-1200-1-10000-2-2-2-21-21-211-200110000-2-2-2-21-21-211-200110000
χ462222-12-12-1-1-2001100002222-12-12-1-1-200110000-2-2-2-21-21-211200-1-10000-2-2-2-21-21-211200-1-10000
χ472-22-222-2-22-20000000002-22-222-2-22-2000000000-22-22-2-222-22000000000-22-22-2-222-22000000000
χ482-22-22-1-21-1100000−i3i3002-22-22-1-21-1100000−i3i300-22-22-212-11-100000i3−i300-22-22-212-11-100000i3−i300
χ492-22-22-1-21-1100000i3−i3002-22-22-1-21-1100000i3−i300-22-22-212-11-100000−i3i300-22-22-212-11-100000−i3i300
χ502-22-2-121-2-11000−i3i300002-22-2-121-2-11000−i3i30000-22-221-2-121-1000i3−i30000-22-221-2-121-1000i3−i30000
χ512-22-2-121-2-11000i3−i300002-22-2-121-2-11000i3−i30000-22-221-2-121-1000−i3i30000-22-221-2-121-1000−i3i30000
χ524444-2-2-2-2110000000004444-2-2-2-211000000000-4-4-4-42222-1-1000000000-4-4-4-42222-1-1000000000
χ534-44-4-2-2221-10000000004-44-4-2-2221-1000000000-44-4422-2-2-11000000000-44-4422-2-2-11000000000
χ5466-3-30000000020000-1-166-3-30000000020000-1-1-6-63300000000-2000011-6-63300000000-2000011
χ5566-3-300000000-200001166-3-300000000-2000011-6-6330000000020000-1-1-6-6330000000020000-1-1
χ566-6-3300000000000003−36-6-3300000000000003−3-663-30000000000000−33-663-30000000000000−33
χ576-6-330000000000000−336-6-330000000000000−33-663-300000000000003−3-663-300000000000003−3
χ581111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111
χ5911111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1
χ601111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1111111111111-11-1-1-111-1-1
χ611111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111111111-1-11-1-1-1-111
χ6222222-12-1-1-102000-1-100-2-2-2-2-21-21110-20001100-2-2-2-2-21-21110-2000110022222-12-1-1-102000-1-100
χ6322222-12-1-1-10-20001100-2-2-2-2-21-211102000-1-100-2-2-2-2-21-211102000-1-10022222-12-1-1-10-20001100
χ642222-12-12-1-1200-1-10000-2-2-2-21-21-211-200110000-2-2-2-21-21-211-2001100002222-12-12-1-1200-1-10000
χ652222-12-12-1-1-200110000-2-2-2-21-21-211200-1-10000-2-2-2-21-21-211200-1-100002222-12-12-1-1-200110000
χ662-22-222-2-22-2000000000-22-22-2-222-22000000000-22-22-2-222-220000000002-22-222-2-22-2000000000
χ672-22-22-1-21-1100000−i3i300-22-22-212-11-100000i3−i300-22-22-212-11-100000i3−i3002-22-22-1-21-1100000−i3i300
χ682-22-22-1-21-1100000i3−i300-22-22-212-11-100000−i3i300-22-22-212-11-100000−i3i3002-22-22-1-21-1100000i3−i300
χ692-22-2-121-2-11000−i3i30000-22-221-2-121-1000i3−i30000-22-221-2-121-1000i3−i300002-22-2-121-2-11000−i3i30000
χ702-22-2-121-2-11000i3−i30000-22-221-2-121-1000−i3i30000-22-221-2-121-1000−i3i300002-22-2-121-2-11000i3−i30000
χ714444-2-2-2-211000000000-4-4-4-42222-1-1000000000-4-4-4-42222-1-10000000004444-2-2-2-211000000000
χ724-44-4-2-2221-1000000000-44-4422-2-2-11000000000-44-4422-2-2-110000000004-44-4-2-2221-1000000000
χ7366-3-30000000020000-1-1-6-63300000000-2000011-6-63300000000-200001166-3-30000000020000-1-1
χ7466-3-300000000-2000011-6-6330000000020000-1-1-6-6330000000020000-1-166-3-300000000-2000011
χ756-6-3300000000000003−3-663-30000000000000−33-663-30000000000000−336-6-3300000000000003−3
χ766-6-330000000000000−33-663-300000000000003−3-663-300000000000003−36-6-330000000000000−33

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